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...Useful tables from the American practical navigator

Bowditch, Nathaniel, 1773-1838

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navigation, nautical astronomy

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No. 9: Part II

Useful Tables From the

American Practical Navigator

(Revised edition of 1938)

REEDITED AND PUBLISHED AND SOLD BY THE

UNITED STATES HYDROGRAPHIC OFFICE BY DIRECTION OF THE SECRETARY OF THE NAVY IN ACCORDANCE WITH THE ACTS OF CONGRESS

Woods Hole Oceanographic institution : ATLAS-GAZETTEER COLLECTION

UNITED STATES GOVERNMENT PRINTING OFFICE WASHINGTON : 1940

For sale by the Hydrographic Office, Navy Department, Washington, D. C. Also by the Superintendent of Documents, Government Printing Office, Washington, D.C. Price, $1.50

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APPENDIX II FORMS FOR WORKING DEAD RECKONING AND ASTRONOMICAL SIGHTS

FOEM FOR DAY’S WORK, DEAD RECKONING

Lee-| Total | pre Course Patent Dist.| N. | 8.

Time Compass Course | Var. | Dev. way | error

Latitude Longitude ov or Left at departure (ornoon) —__----- IN@012 9 -See E. or W. tO INGOTS see eee E. or W. BysD Ret ce IN Om Snes oe E. or W. ECU CO a WhGphth — Sesass E. or W. IByAD sy hi bees INGOT So0 fe eeaee E. or W.

FORM FOR TIME SIGHT GF SUN’S LOWER LIMB (LINE OF POSITION)

h m=n5Ss ° , a ° a ” m Ss. Wott .ecebeccere Obs. alt., Ov Se Deck! C= ye eee N. or S. Eqt. ° (hese C-w, +---------- Corr., Beye See ——————— | “wu $ rostsqe eee == Bee ke eee H. D. oo acer, H.D. sb = OSOS, eb) soe h. h — Ua Ld GQaC AD ein tee eee Gi Cot. Int. 2 easaee (CACORE es Corrs Glabe40) eeeeeee ete ————— = Beer gutsy ck: oeeee-n aes H. E. I.C. Un s Corr Spee es Corr. Fe EN (CP FA ceedsocros Corr eee ee EE - ° , Lia mM. 8 Dec: 7 Se ceezz2 2 N.orS. Eat: >| =a ° , au” DI Oe 9 Cle H. A. Az. A Ca 2) ee L loggeSeC assesses Bb 0 eee p IOUS. Saceeacs )) cacoomeeds Be 9? ee eS log{cosiuuuie-sa=so-o— 6ti | sasdazskss log sine eee sesene Sin gg-seeoeee—— Sela) = Sccseasae= sing ~ (esstssS-2= h. m. s GRADS © SS ———_—. LER ENSG Ws Be logihavatecesenense NogihavZapeeeeseseee es Z =e lh. m. 8 Long eo) mpptpan Wes

Plot line of position through D. R. Lat. and computed longitude, perpendicular to azimuth, 316

FORMS FOR WORK 317

ALTEENATIVE FORM FOR TIME SIGHT (LINE OF POSITION)

h. m.s OEY On, Vike Un TPN is Tan emens =e bom Dec., c-W, oe HLA. Az QS eee —_—— (Subtract) Ohrons sissen ye) | Weteese fs at mat. hay.) 22=22--- cosectyye see TORR Cae a neem asd ers est pat. hay., --- (hy OLY Mv tong ety Me ah JN PN Le eal aS MAbs NS Vay oe ano ae (R.A. M. §.--12h), -----____- ——— MabPeo)}'Corrs)) | See ete log hav., _.- = —_ Lat. sec. @.A.T.(G.S8. T.), dec. sec., -- COSt eee tee (R. Aw), G.H. A. eae eee erie Sink ieee tue GPETPAG) (ATC) Sune meee nnn ne ———. MbeeAt(ATC);) 9 9) eee ee meeae SintZ eee ONT item iol ie Ven. mane oe E. or W. y FORM FOR TIME SIGHT OF STAR OR PLANET (LINE OF POSITION) h. m. s h.m.s. OL Weesstfunl = to Ueecceees RANKS donanne Dec., ---- N.or S. C-wW, Sy ee D., ees Chron st set nese ete Cc. C., GAO MDs) (Sea=== Or GN Os, ses h, log. seo., ---- R. A. M L, log. sec, -.-- log. sec., ---- Corr. (Tab. 39) = _-___--- Gao AS === -= Dee log. cosec, -- —_— Corrs pe GSS HDS ahhh —. TRAE Sy pel rei Se RBar Ga VAS) ie == 2 s, log.cos, ---- S=bha ya log. sin, ---_ log. sin., ---- — SSL ee log. sin., ---- Ct Angie ue [eee E. or W. Sse SaaS 1p dels FN eens E. or W. log. hav., --__ log hav _-.. = Z - (GSH At nae Tong yeas ee E. or W. Plot line of position through D. R. latitude and computed longitude perpendicular to Z FORM FOR TIME SIGHT OF MOON’S LOWER LIMB (LINE OF POSITION) h.m.s. G2 h.m.s. OP SWewlieswees Obsnalt@Ge-----— Rida (eee Dee: y eA yee sess N.o7 S. o-w, cf aaa nea LOI a hie laacl eee aes a — —=—— $ Ghrontien here steer Corr. (Table 41), ________ Corrs oes (Corr eel eee C.C., Heo ee Re 1 a ae G.C. T., GAO NT seers sa RSAC, |~ eee Dec ge. ase Sid. t. 02 G.C. T., =——= Corr. (Tab. 39) “ (C518 L/h eee Eee Corse Bee GaSe ed) | sees? IREPANC e) Se GAR) va zeeoee GRIEVANT Gee eee eee E. or W.

For the remainder of the work, by which the hour angle and the longitude are found, employ the method given under “‘Form for Time Sight of a Star (Line of Position).”

FORM FOR MERIDIAN ALTITUDE OF SUN’S LOWER LIMB

Oo 2 , h.m.s. . i ObssaltiOy | Weneeceeeee Corr. (Tab. 40), -_----_- TapACe Ln = Decs wll wih 0 ee N or 8. Corr., Cae es H.E., Long., I. C., , Reape 8)! Mum i gee tet Corrs aS eee H.D., pi G. C. T. Int., +--- ZR Peed pe, gushes N.orS. F i Corr., Lat., Dec., FORM FOR MERIDIAN ALTITUDE OF A STAR ovr , ° , Obs. alt., Skroeteees Corr. (Tab. Dec., aisssbes N.or S. Corr., Sepoccasat H.E., 1.Cc., LS ee Leena sees Corry) aeesteeee 2M 6 oe Wo scene N.orS Lele a me reeen N. or

318 FORMS FOR WORK

FORM FOR MERIDIAN ALTITUDE OF A PLANET

hh. m. OD COLOR MCh Pane vekby See ee IDG N.or 8. Corr. for long., ck

L. C. T., local trans., Long., ce

G. C. T., local trans.,

Dec, -.. Jeo N.or S.

ov ov h. ™m. ° , h, Obs. alt. C, GSCaDatrans* wee Dec: 7 ).22 ee N. or 8. IB {ORs Corr. for long. (Tab. 26), =-+-------- _— 2, Corr. (Tab. 41), -------- TG. Des localitrans:.0) ae) meee aen es (Corrs eee d, Sea Nor Seeks i ees Long., Ee At ccsnsace INSOnS.COrn-gmine es) 9) senate GaC 0 localitraris:.\s lessee Ommee, Dec. ee N. or S.

Mark zenith distance N. or S. according as zenith is north or south of the body observed; mark Dec. according to its name, subtracting it from 180° for cases of lower transit; then, in combining the two for Lat., have regard to their names.

ALTERNATIVE FORM FOR MERIDIAN ALTITUDE OF A BODY

+90° 00’ 0 Rules jor signs Case I. Lat. & Dec. same name, Lat. greater____.____-_-_-______ +90°+Dec.—Corr.—Alt. Case II. Lat. & Dec. same name, Dec. greater. - —90°+Dec.+Corr.+Alt. Case III. Lat. & Dec. opposite names____--__ - +90°—Dee.—Corr.—Alt. Oase\ LV; Lower transit= oes SS +90°—Dec.+Corr.-- Alt.

h. m.s.

Wiel, Tigsitnt taheeen Sees a Saas (Tab. 29)

Co-W, @orr.,. 22222 at2 =e ene (Tab. 30)

Chron., he > ee

C.C., Nis) acoseeeeeeee log'sec;. =. eS

G.c.T., see (@Rabs40) Sees a ne a etter

Eq.t(R. A.M.S.+125),_ H.E., —_—————

Corr., TC! 13 eee ——_ ——

G. A. T.(G.S.T.), Corr., Ue pa eae Nors

(R. A>), ad, 22s NorS.

G. H. A. time, Tate 22 Nors

G.H. A. Are,

Long. D. R.,

L. H. A.,

Plot line of position through Lat. and D. R. Long. perpendicular to Z

FOEM FOR THE COMPUTED ALTITUDE AND THE ALTITUDE DIFFERENCE OF THE SUN’S LOWER LIMB

~ FOR LINE OF POSITION (SINE—COSINE FORMULA)

h. m. s. OO m. s, Wet me oe ase ARO Deck 2 eae Noor 8: -Eqst. o-W pRcER S meee

s. Obro. t. Fe ery H.D. 2 .--- oe

oO. C. h. eee G. GC. T., Inte) ==-3- 5

G. 0. T. Ss. Ea. t. ee & Corr. Be eo

GaAn/D: SoBe m. Ss.

rs Sones sk Eq. t. ies Long. (assumed Pos.) ee

L.A. T.= log'sins 2-eeneeee ef log sin ObmialtiOrrer ze log sin log.cos:.. .=2==-a TRO oe ie Py eth te (Sum) log A -...----.- lorry (habs 40)\) |. Si 2ess2252 Ae 12 Lice © Renee ig opeeeeaertaaee es ae Act Dh ena SA+B) Wevtessc2c= og sec Gompnted/Ay os se" oo). ee nat. sin, us =

AeDifti = 9 aes (toward or away from Z) 5

FORMS FOR WORK 319

FORM FOR FINDING THE COMPUTED ALTITUDE AND THE INTERCEPT OF THE SUN’S LOWER LIMB FOR LINE OF POSITION

(COSINE—HAVERSINE FORMULA)

h.m.s ov Wig ly poy feces C—W Chro. t. C0. C. G.C..T. Eq. t. G.A.T. Long. (assumed Pos.) -- h.m. s. L. A. T.=t logihavaeeseoeee log sin L OPICOS Neo sae see d Ogicos) )S2eea===-— log cos log have = nat have¢ _- Le US 8 eesScis

Lead mabhay 2225-22 -2 LZ mat have) ---=- snes log cosec --_----- ic Re ee ee en logisinie= =a

Zee Ry ete (toward or away from Z)

FORM FOR THE COMPUTED ALTITUDE AND THE INTERCEPT OF A STAR OR PLANET FOR LINE OF

POSITION (COSINE-HAVERSINE FORMULA)

h. m.s. ay O80 Wrote ee Obs. alt. Mec: yp =-2s--2- N.orS O-W., qpececcees Ol; Be

Corr. (Tab. 40)—_- : bh. m.s. ‘@hroyt:, as — RSAC eee ee 0.0., BEiascoses Obs) ee —— oo; Ome fan Ha pO hy oteeertes Uy acceso es Sid. t. of 0G. C.T., +--- I eee Se Corr. (Tab. 39) + Gh esa0ss65 Log cos, -------- Log cos, -------- G.S. T., Log hav, -------- R. A. pone EES Nat. hay; =-2=-==- G. H. A.xk, " e Died, )-2-- 25. Nat. hav, ----__-- Long. of assumed Pos., -------- E. or W. Sere

= = fF ea, ee een Log cosec, --------

L.H.A.@, fs BS eae Oo a Weare Ronee Lig aan eae Inti (towards or away)

Plot line of position through D. R. Lat. and Long. perpendicular to Z, then move line as indicated by intercept. FORM FOR STAR IDENTIFICATION

W.T., - (Tab. 40), C-W, H.E., nat. hav, atte os aaa =e 5 ‘on., aosesee pubtract), ————— OHO yi sy tscceste Corr., nat. hav, -_---__- rapreeaeee hav Z, —— G.C. T., cos L, log hav, Wee Sid. t. of 0b, cos ho, sec., aaa, Corr. (Tab. 39), sec., log hay, GinSTs ) = 4) teases Log hav, Long., E. or W. nat. hav, ie (L—h) nat. hav, L.S.T

(Approx.) t, nat. hav,

Approx.) R. A. ey Dec.,

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TABLES.

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Hixplanation\of the Mablestiist 2. 222 2 2 eee eo ee ee 4 Rableplemradion bearinguConversigne ee ae eye eens a ee ee eee 15 2H, Coarason oy Ito tints Wo) Demet ee ee 17 Sumlraversebabless Degrees ses sc e= aa ante We Beas a eet eo A ae eG 18 4. Conversion of Departure into Difference of Longitude________-___--___----____- 108 - HemVeridionalvhartsta se. sae ee ee oe es aa Se? Lobe eee es alee 114 6. Length of Degrees of Latitude and Longitude__________--_----------------_--- 122 7. Distance of an Object by Two Bearings—Degrees__________-___-__-_-_-_-_---- 124 SueDistancelor Wisibilityof ObjectsiatSease= sea asa ae Se a 130 9. Distance by Vertical Angle (Distance less than 5 miles)_________________________ 131 10. Distance by Vertical Angle (Distance greater than 5 miles)_--__________________ 133 ie eDistanceibyablorizoneAnelessa= = — so Dene ee ee ee eee ee ee 138 loeiSpeed hableiforn Measured Milew = S25 oe ole ee Se ee aoe oe eee 139 ig}, Gein, Syoewtel, eyayel ID suave WN Ne oe a Se See ee es Be 140 14. Conversion Tables for Nautical and Statute Miles___-_____--_-------___-__-__- 144 15. Conversion Tables for Metric and English Linéar Measures________-___________- 145 ~y 16. Conversion ‘Tables for Thermometer Scales___------__--------------_---_-___- 146 17. Reduction of Local Civil Time to Standard Meridian Time___-___--___________- 147 SSD i prot SeAvelorizOn! ses” ae oS ee a Ne AIS Dae Eee ee es 148 IG, IDs) ans IDAs Sloonh OF lalorbrom oe oto e soe Soe Se sea ese ee Sea seeeeose 148 SAO), J Farag Wp OH Sa es Ne SaaS a a os het a ne We ere eee 148 JME Paral ax OLee are Gist tee Ae aR ee ee EN Lotsa See RY Cpa ner hl Sete ie is ee 149 22 MNTCATIPRELT ACEO Tie ete sms tae ea ele aes at A Ua 0 AN Jee RI Me a RES OTE Nel ac 150 23, Wigan IRenecion aya) lemellkape Oi? SiN se oot ees bebe sees aeue bee oebesenos 151 2anCorrectionjot Retraction for Barometers 2) ate eee eee 152 255) Correction-of Refractiontforhhermometersss sso ee ee eee 153 26. Reduction of Moon’s Meridian Passage for Longitude________--__----_-----___- 155 PD eee NTI TO LT GL Cl rapes eae ay i eee ae ec SE ad BUY yee a ne Ri EE So ee a a ae) 156 28. Correction for Amplitude observed in Apparent Horizon_____-------_-------___- 161 29. Variation of Altitude in one minute from Meridian_____________________-_-___- 162 30. Variation of Altitude in given time from Meridian_______________-__-__-_-___-_- 172 31. Natural Sines, Tangents, Cotangents and Cosines________---------------------- 176 So amlLO PATI Chins OLMN UMA ETS ese wel ees maces ep MeO ee cen a se Pp CMR RY Ee 199 Soa loranivnms lofmlrisonOMe thi ch HUT Ct ors een te eee en a en ep 217 S4voranthmicrand Naturale Hayersinesm ssa ss aes sees tan se eee aeyene een 262 SOMME eR On eituGeghaclOrsen oss une ebadyn Wink ee waky ee seine Coes Wen Tid SOL ee See 367 SOmmLbe Rea tituGenbhacvor emma as 5 aie wllnee a Se Ce Sasa eae oe Lae 371 SCN OOD BUNGE ValMh a ClO THe ae Marseern suman mils alee alee Aeranes tack bie = At Seine oy LENSE ae eee 375 388. Conversion of Sidereal into Mean Solar Time_____________--____----_--------- 377 39. Conversion of Mean Solar into Sidereal Time_____________---_---------------- 380 40. Consolidated Table of Altitude Corrections for the Sun, Planets, and Stars______ 383 41. Consolidated Corrections to be applied to Observed Altitude of the Moon_-_---__-- 384 A FES © OV WSTSLO Ty O LAAT Ceca Ty Cy Metres ee at pea aay dy eee 386 Asem CONV ErSION LOLs liss © Mel LOl Greg Cea eh eee ee St aha ey Sere ree ee 387

CONTENTS OF PART II.

EXPLANATION OF TABLES.

TABLE 1.—RADIO BEARING CONVERSION.

This table is used to convert the radio or true bearing into the mercator bearing, when it is desired to plot the bearing on a mercator chart. The arguments used to find the correction are the middle latitude between the sending radio station and the vessel’s D. R. position, and the differ- ence of longitude between the radio station and the vessel. The sign of the correction is as follows,

ezsunand of the station, the correction is paddies westward subtractive

In south latitude, when the vessel is ESSERE of the station, the correction is subuaciiNes westward additive

Should the bearing be observed from the vessel, the sign of the correction as given above is reversed.

Exampie: A vessel in D. R. Lat. 38°03’ N.; Long. 55° W.; receives a radio bearing of 118° from Bar Harbor, Maine, radio station (Lat. 44°19’ N.; Long. 68°11’ W.). Find the Mercator

bearing. Bar Harbor station, Lat. 44°19’ N.; Long. 68°11’ W. Vessel (D. R. position), Lat. 38°03’ N.; Long. 55°00’ W. Middle Lat. 41°11’ N.; Diff. Long. 13°11’ W.

Enter table with Mid. Lat. 41° and Diff. Long. 13°.2; the correction is +4°.4. Mercator bearing= Radio bearing plus correction, or 118°-++4°-4=122°.4.

The table is computed from the formula, tan Gores ovine Mss dha, fey et on, Diff. Lat. 2

cos 2

In north latitude, when the vessel is

TABLE 2.—CONVERSION OF POINTS TO DEGREES.

This table gives the 22 points of the compass arranged in order from North to East, East to South, South to West, and West to North. The process of naming these points in this order is called ‘‘Boxing the Compass.’’ The names of the whole points and fractional points are readily converted by this table into the corresponding degrees, minutes, and seconds, from 0° to 360°.

TABLE 3.—TRAVERSE TABLE, DEGREES.

This table contains the difference of latitude and departure corresponding to distances up to 600 miles and for courses for every degree of the compass. The table may also be employed in the solution of any right triangle. ‘The manner of using these tables is particularly explained under the different problems of Plane, Middle Latitude, and Mercator Sailing in Chapter V, and the inter- changes of the designations of the headings of the different columns in order to subserve these various uses, are summarized in the marginal diagram at the foot of each page.

TABLE 4.—CONVERSION OF DEPARTURE INTO DIFFERENCE OF LONGITUDE.

This table is computed from the formula, Departure= Diff. Long.Xcosine Mid. Lat., or Diff. Long.=—55. Mid. Lat. er: Lat The body of the table gives the difference of longitude (D. Lo.) for every mile of departure from one mile to sixty. The middle latitudes are given from 4° to 60°. The table is entered with the arguments, Mid. Lat. at the top of the page, and the Dep. at the side of the page, from which is found the D. Lo.

Exampue: In Mid. Lat. 59°30’, the departure was 30 miles. Find the D. Lo.

Under Mid. Lat. 59°30’ and opposite Dep. 30, is found D. Lo. 59/1.

Exampue: In Mid. Lat. 54° the D. Lo. was 51.’ Find Dep.

Under Mid. Lat. 54° and in the D. Lo. column is found 51’, opposite in Dep. column is found 30 miles.

EXPLANATION OF TABLES 5

TABLE 5.—MERIDIONAL PARTS.

This table contains the meridional parts, or increased latitudes, for every degree and minute to 80°, calculated by the following formula: m= log tan (45° ue 3) Gg Gem b-b yet sind fp Petsin’ Ler. sy in which : : 10800’ p the Equatorial radius a = Ee 3487'.74677 (log 3.5362739) ; M, the modulus of common logarithms=0.4342945; T= 23025851 (log 0.362157) ; c, the compression or meridional ellipticity of the earth according to Clarke (1880) 599 195 = 0.003407562 (log 7.5324437) ;

e=-+/2c—c?=0.0824846 (log 8.9163666) ; from which

M =7915’.7044558 (log 3.8984895) ; ae = 23/.38871 (log 1.3690072); lace 0.053042 (log 8.7246192) ; ge _0’.000216523 (log 6.3355038).

The results are tabulated to one decimal place, which is sufficient for the ordinary problems of navigation.

The practical application of this table is illustrated in Chapters II and V, in articles treating of the Mercator Chart and Mercator Sailing.

TABLE 6.—LENGTH OF DEGREES OF LATITUDE AND LONGITUDE.

This table gives the length of a degree in both latitude and longitude at each parallel of lati- tude on the earth’s surface, in nautical and statute miles and in meters, based upon Clarke’s value

(1866) of the earth’s compression, In the case of latitude, the length relates to an arc of

299.15 which the given degree is the center.

TABLE 7.—DISTANCE OF OBJECT BY TWO BEARINGS—DEGREES.

This table has been computed to facilitate the operation of finding the distance from an object by two bearings from a given distance run and course. The arguments are given in degrees; the first column contains the multiplier of the distance run to give the distance of observed object at second bearing; the second, at time of passing abeam.

The method is explained in Chapter IV.

TABLE 8.—DISTANCE OF VISIBILITY OF OBJECTS.

This table contains the distances, in nautical and statute miles, at which any object is visible at sea. It is calculated by the formule: d=1.15yz, and d’=1.32y2, in which d is the distance in nautical miles, d’ the distance in statute miles, and z the height of the eye or the object in feet. To find the distance of visibility of an object, the distance given by the table corresponding to its height should be added to that corresponding to the height of the observer’s eye. ExampLe: Required the distance of visibility of an object 420 feet high, the observer being at an elevation of 15 feet. Dist. corresponding to 420 feet, 23.5 naut. miles. Dist. corresponding to 15 feet, 4.4 naut. miles.

Dist. of visibility, 27.9 naut. miles.

TABLE 9.—DISTANCE BY VERTICAL ANGLES (distance less than 5 miles).

This table gives the distance, up to 5 miles, of an object of known height by the vertical angle that it subtends at the position of the observer. It was computed by the formula

tan an",

where a=the vertical angle; h=the height of the observed object in feet; and d=the distance of the object, also converted into feet.

No correction for Dip is applied. ; ; é ' ; The employment of this method of finding distance is explained in Chapter IV.

6 EXPLANATION OF TABLES

TABLE 10.—DISTANCE BY VERTICAL ANGLES (distance greater than 5 miles).

This table gives the distance greater than 5 miles of an object of known height by the angle it subtends at the position of the observer. The table comprises heights from 400 to 15,500 feet above the sea and distances from 6 miles to 85 miles. It contains correction tables for refraction and dip, both of which are subtracted from the observed angle after applying the index correction of the sextant. Aircraft using the bubble sextant correct the observed altitude for refraction only. This table is used for angles of elevation, or for those cases where the height of object is greater than height of observer.

Exampte: The altitude of a mountain top 15,000 feet high was observed which gave by sex- tant an elevation of 1°40’; I. C.+1/; height of eye 35 feet, estimated distance 60 miles. Find the required distance. After applying the index correction of plus 1’ the altitude is 1°41’. From the table, the correction for Dip is —5’.8, and the correction for refraction is —4’.4 or a total of —10’.2. This correction subtracted from 1°41’ gives an angle of elevation of 1°30’.8. Enter table ordi- narily with the difference between the height of object and height of eye, but when the height of eye is relatively low this may be disregarded. Therefore under the column for 15,000 feet find the angle nearest 1°31’. By interpolation the distance away is found in the side column to be approxi- mately 67.6 nautical miles.

It must be noted that observed bearings are the same as great circle bearings and are not the same as mercator bearings taken from the chart. The mercator bearing requires a correction similar to the correction of a radio bearing. In most cases this correction can be disregarded, unless the mountain is very far away or the vessel is in high latitudes. ;

TABLE 11._HORIZON ANGLES. This shows the distance in yards corresponding to any observed angle between an object and the

sea horizon beyond, the observer being at a known height. The method of use is explained in Chapter IV.

TABLE 12.—SPEED TABLE. This table shows the rate of speed, in nautical miles per hour, of a vessel which traverses a measured mile in any given number of minutes and seconds. It is entered with the number of

minutes at the top and the number of seconds at the side; under one and abreast the other is the number of knots of speed.

TABLE 13.—TIME—SPEED—DISTANCE TABLE. This table shows the distance in nautical miles steamed in any part of an hour from 5 knots

to 37 knots. It is entered with the number of minutes at the side, with speed in knots at the top, abreast of one and under the other is found the distance in nautical miles.

TABLE 14.—CONVERSION TABLES FOR NAUTICAL AND STATUTE MILES. TABLE 15.—CONVERSION TABLES FOR METRIC AND ENGLISH LINEAR MEASURE. TABLE 16.—CONVERSION TABLES FOR THERMOMETER SCALES.

TABLE i7.—REDUCTION OF LOCAL CIVIL TIME TO STANDARD MERIDIAN TIME.

This table contains the reduction to be applied to the local time to obtain the corresponding time at any other meridian whose time is adopted as a standard. The results are given to the

nearest minute of time only; being intended for the reduction of such approximate quantities as the time of high water or time of sunset.

TABLE 18.—DIP OF SEA HORIZON. This table contains the dip of the sea horizon, calculated by the formula:

D=58''.8VF,

in which #=height of the eye above the level of the sea in feet. It is explained in Chapter X.

TABLE 19.—DIP SHORT OF HORIZON. This table contains the dip for various distances and heights, calculated by the formula: p=3a+0.56514 x5,

in which D represents the dip in miles or minutes, d, the distance of the land in sea miles, and h, the height of the eye of the observer in feet.

EXPLANATION OF TABLES 7

TABLE 20.—PARALLAX OF SUN.

This table contains the sun’s parallax in altitude computed by the formula: par.=sin 2 8/’.75,

in which z=apparent zenith distance, the sun’s horizontal parallax being 8/’.75. It is explained in Chapter X.

TABLE 21.—PARALLAX OF PLANET.

Parallax in altitude of a planet is found by entering at the top with the planet’s horizontal paral- lax, and at the side with the altitude.

TABLE 22.—MEAN REFRACTION.

This table gives the refraction, reduced from Bessel’s tables, for a mean atmospheric condition in which the barometer is 30.00 inches, and thermometer 50° Fahr.

TABLE 23.—MEAN REFRACTION AND PARALLAX OF SUN.

This table contains the correction to be applied to the sun’s apparent altitude for mean refraction and parallax, being a combination of the quantities for the altitudes given in Tables 20 and 22.

TABLES 24, 25.—CORRECTIONS OF REFRACTION FOR BAROMETER AND THERMOMETER.

These are deduced from Bessel’s tables. The method of their employment will be evident.

TABLE 26.—REDUCTION FOR MOON’S TRANSIT.

This table was computed by proportioning the daily variation of the time of the moon’s passing the meridian.

The numbers taken from the table are to be added to the Greenwich time of moon’s transit in west longitude, but subtracted in east longitude.

TABLE 27.—AMPLITUDES.

This table contains amplitudes of heavenly bodies, at rising and setting, for various latitudes and declinations computed by the formula:

sin amp.=sec. Lat. sin dec.

It is entered with the declination at the top and the latitude at the side. Its use is explained in Chapter XIII.

TABLE 28.—CORRECTION FOR AMPLITUDES OBSERVED ON THE APPARENT HORIZON.

This table gives a correction to be applied to the observed amplitude to counteract the vertical displacement due to refraction, parallax, and dip, when the body is observed with its center in the visible horizon.

The correction is to be applied for the sun, a planet or a star, as follows:

At Rising in N. Lat. Setting in S. Lat. At Rising in 8. Lat. Setting in N. Lat.

For the moon, apply half the correction in the contrary manner.

\apply the correction to the right.

\ apply the correction to the left.

TABLE 29._CHANGE OF ALTITUDE IN ONE MINUTE FROM MERIDIAN.

This table gives the variation of the altitude of any heavenly body, for one minute of time from meridian passage, for latitudes up to 60°, declinations to 63°, and altitudes between 6° and 86°. Itis based upon the method set forth in Chapter XI under “Reduction to the Meridian” and the values may be computed by the formula: ;

1’’.9635 cos L cos d sin (L—d) where a=variation of altitude in one minute from meridian, L=latitude, and 4 E d=declination—positive for same name and negative for opposite name to latitude at upper transit, and negative for same name at lower transit.

S EXPLANATION OF TABLES

The limits of the table take in all values of latitude, declination, and altitude which are likely to be required. In its employment, care must be taken to enter the table at a place where the declina- tion is appropriately named (of the same or opposite name to the latitude) ; it should also be noted that at the bottom of the last three pages values are given for the variation of a body at lower transit, which can only be observed when the declination and latitude are of the same name, and in which case the reduction to the meridian is subtractive; the limitations in this case are stated at the foot of the page, and apply to all values below the heavy rules.

TABLE 30.—CHANGE OF ALTITUDE IN GIVEN TIME FROM MERIDIAN.

This table gives the product of the variation in altitude in one minute of a heavenly body near the meridian, by the square of the number of minutes. Values are given in are for every 5’ from 0° to 7°, or in time for every 20s from 0™ to 28™, and for all variations likely to be employed in the method of ‘‘reduction to the meridian.”

The formula for computing is:

Red.=aX#, where a=variation in one minute (Table 29), and t=number of minutes (in units and tenths) from time of meridian passage.

The table is entered in the column of the nearest interval of time or arc from meridian, and the value taken out corresponding to the value of a found from Table 29: The units and tenths are picked out separately and combined, each being corrected by interpolation for intermediate intervals of time or are.

The resuit in minutes and tenths of arc is the amount to be applied to the observed altitude to reduce it to the meridian altitude, which is always to be added for upper transits and subtracted for lower.

TABLE 31.—NATURAL TRIGONOMETRIC FUNCTIONS.

This table and the explanation thereto, have been prepared and copyrighted by Lyman M. Kells, Willis F. Kern, and James R. Bland, who have supplied them to the Hydrographie Office for use in its publications. Neither the table nor any new feature embodied therein, may be reproduced in any form without the permission of the copyright owners.

Table of natural values of trigonometric functions.—Table 31 contains the numerical values of the sines, cosines, tangents, and cotangents of angles from 0° to 90° at intervals of 1’. In the case of an angle in the range from 0° to 45°, the number of degrees in the angle and the names of the functions are found at the top of the page and the left-hand minute column applies; in the case of angles in the range from 45° to 90°, the number of degrees in the angle and the names of the func- tions are found at the bottom of the page and the right-hand minute column applies. Interpolation must be carried out without the aid of difference columns or tables of proportional parts.

The following examples illustrate the method of using the tables.

Exampie 1: Find sin 68°28’.

Solution —We first find the page at the bottom of which 68° appears and then find the row of the 68° block containing 28’ in the right-hand minute column. In this row and in the column having sin at its foot we find 020 to which we must prefix 0.93 to obtain sin 68°28’ =0.93020.

Exame.e 2: Find sin 38°38/27’’.

Solution.—Using the tables and computing differences, we find the values exhibited in the fol- lowing form:

sin 38°38/00’’ ” = 0.62433 sin 38°38/27/"J2" 60” =? T\og sin 38°39/00’’ = 0.62456 Hence 9 att or z= (34 )23= 10 (nearly). Therefore

sin 38°38’27’’ =0.62433-+ 0.00010=0.62443. Ans.

EXampLeE 3: If cot 6=0.37806, find @. Solution.— Using the tables and computing differences, we find the values exhibited in the fol- lowing form:

cot Oeil Sheena cot ? 60=0.37806 33 cot 69°18’00’’ =0.37787 Hence a= a or n= 35 (60) 25’’ (nearly), and 6=69°17'25’’. Ans.

ae Binge cot @ is positive in the third quadrant, we may also write an answer 180°+69°17/25/’= (Pa,

EXPLANATION OF TABLES 9

TABLE 32.—COMMON LOGARITHMS OF NUMBERS.

This table and the explanation thereto, have been prepared and copyrighted by Lyman M. Kells, Willis F. Kern, and James R. Bland, who have supplied them to the Hydrographic Office for use in its publications. Neither the table nor any new features embodied therein, may be reproduced in any form without the permission of the copyright owners.

Additional examples in the use of logarithms are contained in Appendix III of Part J of this publication.

Introduction.— The power L to which a given number b must be raised to produce a number N is called the logarithm of N to the base b. ‘This relation expressed in symbols is

bL=N.

It appears at once that 6 must not be unity and it must not be negative. In the following set of tables, 10 is used as base.

Characteristic and mantissa.—The common logarithm of any real, positive number may be written as an integer, positive or negative, plus a positive decimal fraction. The integral part is called the characteristic and the decimal part the mantissa. The characteristic may be written by using the following rules:

Rue 1: The characteristic of the common logarithm of a number greater than 1 is obtained by subtracting 1 from the number of digits to the left of the decimal point.

For example, 68.30 has two digits to the left of its decimal point; hence its characteristic is 2—1=1. Similarly for 6830, the characteristic is 4—1=8, for 7.864 it is 1—1=0, and for 5846300 it is 6.

Rue 2: The characteristic of the common logarithm of a positive number less than 1 is negative and its magnitude is obtained by adding 1 to the number of zeros immediately following the decimal

joint. p If the characteristic of a number is —n (n positive), it should be written in the form (10—n) —10. To obtain directly the logarithm of a number less than 1, subtract from 9 the number of zeros immediately following the decimal point, and write the result before the mantissa and — 10 after it.

For example, 0.000785 has three zeros immediately following the decimal point; hence its characteristic is — (3-++1)=—4, or6—10. Similarly for 0.0000587 the characteristic is —(4+1)=—5 or 5—10, for 0.0287 it is —2 or 8—10, and for 0.684 it is —1 or 9—10.

To find the mantissa—Special case——The mantissa, or decimal part of the logarithm of a number, depends only on the sequence of the digits and not on the position of the decimal point. Table 32 lists the mantissas, accurate to five decimal places, of the logarithms of all integers from 1 to 10,000.

The change in the mantissas of the logarithms is very slow. Consequently the first two digits of the mantissas have been omitted from a large percentage of entries. When these two digits are omitted from an entry, they always appear in the column containing the entry both slightly above it and also slightly below it.

To find the mantissa of the logarithm of a number locate the first three digits of this number in the left-hand column headed No., and the fourth digit in the row at the top of the page. Then the mantissa of the given number containing four significant figures is in the row whose first three figures are the first three significant figures of the given number, and in the column headed by the fourth. Thus to find the logarithm of 76.64 find 766 in the column headed No., and follow the cor- responding row to the entry in the column headed by 4. This entry 88446 represents the mantissa required. The first two digits 88 of the mantissa were found in the same column with the considered entry but one space lower, and also in the same column, but seven spaces higher.

Hence, we have

4 log 76.64=1.88446.

Interpolation—When a number contains a fifth significant figure, we find the logarithm cor- responding to the first four figures as above and then add an increment obtained by a process called interpolation. This process is based on the assumption that for relatively small changes in the nwmber N the changes in log N are proportional to the changes in N. The following example will serve to illustrate the process of interpolation.

The expression tabular difference will be used frequently in what follows. The tabular differ- ence, when used in connection with a table, means the result of subtracting the lesser of two succes- sive entries from the greater. These differences have been computed in every case and tabulated in the columns headed ‘‘d’’.

Examep.e: Find log 235.47. Solution.—We first find the logarithms in the following form and then compute the difference

indicated: log ge la Seg log 235.47)" }10=? 18 (tabular difference). log 235.50 = 2.37199 By the principle of proportional parts, we have Cd

a a= = =12'6= ly). 107 18 or d 0 12.6=13 (nearly)

Adding 0.00013 to 2.37181, we obtain log 235.47=2.37194.

10 EXPLANATION OF TABLES

The increment 12.6 was rounded off to 13 because we are not justified in writing more than five cimal places in the mantissa. :

corns ene of this procedure is embodied in the following statement. To find the logarithm of a number composed of five significant figures, first find the logarithm corresponding to the first four figures and to it add one-tenth of the tabular difference multiplied by the fifth digit. rags

To shorten the process of interpolation, 10° times each tabular difference occurring in the table has been multiplied by 0.1, 0.2, . . . 0.9, and the results have been tabulated on the right-hand sides of the pages on which these differences occur. The abbreviation Prop. Parts written at the top of the page over these small tables abbreviates the words proportional parts. To interpolate in the example just solved, note the tabular difference 18, locate the Prop. Parts table headed 18 and find opposite 7 in its left-hand column the entry 13. In general, this difference should not be com- puted but should be obtained from the number opposite the fifth digit in the appropriate table of proportional parts. y ’ i ;

To find the number corresponding to a given logarithm.—If log N =, the number N is called the antilogarithm of L. The sequence of digits of a number N corresponding to a given logarithm L is found from its mantissa, and the decimal point is then placed in accordance with the italicized rules stated above.

Exampie: Given log N=1.92955, find N.

Solution.—The mantissa .92955 lies between the entries .92952 and .92957 of Table 32. Using the table and computing the differences indicated, we write the following form:

oases =log ie ; # 1.92955 J" )5=log N 10. 1.92957 =log 85.030 Assuming that changes in the logarithm are proportional to the corresponding changes in the number, we write 5 - x a =i) — 5-10 or ==10(2)—6. Hence

N=85.026.

The essence of the process of interpolation is indicated in the foregoing procedure. However, in practice, the student should always interpolate by using the table of proportional parts. The fifth figure 6 should have been obtained from the table of porportional parts. In the small Prop. Parts table corresponding to the tabular difference 5, we read either 5 or 6 in the left-hand column opposite the entry 3. However, the 6 must be chosen; for in case there is a choice between two or more entries one of which is opposite a number printed in boldface, give preference to the entry opposite the bold-faced figure.

Rue: Whenever a number lying exactly half way between two entries is under consideration or is the same as two or more adjacent entries, give preference to that character which has a bold-faced part nearest the entry.

TABLE 33.—LOGARITHMS OF TRIGONOMETRIC FUNCTIONS.

Table of logarithms of trigonometric functions.—Table 33 gives the logarithms of the sines, cosines, tangents, cotangents, secants, and cosecants of angles at intervals of 1’ from 0° to 90°. The names of the functions written at the top of any page apply to angles having the number of degrees written at the top of the page, and the function names written at the bottom apply to angles having the number of degrees written at the bottom. The left-hand or the right-hand minute column applies according as the number of degrees in the angle is written on the left side or on the right side of the block of numbers under consideration. One of the arrowheads attached to each number representing degrees points toward the column of minutes to be used in connection with an angle involving that number of degrees, the other points toward the row of names to be considered.

For example, to find log sin 32°46’, we find the page at the top of which 32° appears, find the row containing 46 in the left-hand minute column, and read 9.73387 in this row and in the column headed sin. The part 9.73 was found above the 46’ entry or it could have been found lower down in the column, and 10 is to be subtracted from every logarithm in the table. Again, to find log tan 142°36’, find the page at the top of which 142° appears, find the row containing 86 in the right- hand minute column, and read 9.88341 in this row and in the column headed tan. Hence log tan 142°36’=(—) 9.88341—10. The minus sign in parentheses before the log indicates that a negative number is under consideration. The 9.88 was found three spaces higher in the column, or it could have been found lower in the column.

Given the angle to find the logarithm of a trigonometric function—Interpolation.—The prin- ciples involved here are the same as those involved in finding logarithms and antilogarithms of numbers. Interpolation for seconds is accomplished by direct interpolation or by using the columns headed ‘‘diff.”” The following example will illustrate the use of the difference columns.

EXPLANATION OF TABLES 11

Examp.Le: Find log tan 65°42’17’’.

Solution.—On the page at the foot of which 65° appears, read opposite the 42’ of the right-hand minute column 533; attach to this the 10.34 found four spaces above this entry, to obtain 10.34533. In the nearest difference column opposite 17’’ find 9 and add it to the last figures (33) of 10.34533 and finally subtract 10 from the result to obtain

log tan 65°42/17'’=10.34542—10=0.34542

In the process of interpolation for seconds, the difference column, headed ‘‘diff,’’ nearest to the column of entries involved should be used. The change for seconds is found in this column opposite a number in the adjacent column equal to the number of seconds in the given angle. This difference is added to or subtracted from the number represented by the last three digits of the entry opposite the given number of minutes according as the entry for the next higher number of minutes ts a greater or a lesser one.

Interpolation by means of the columns headed “diff” involve slight errors which are negligible for most purposes of navigation. To avoid this error, direct interpolation may be used. Let n represent the number of seconds, D the difference between the entry corresponding to the given number of minutes and that corresponding to the next higher number of minutes, and d the required change to be added to or subtracted from the entry opposite the given number of minutes. Then

eutalty ~ 60

Given the logarithm of a trigonometric function, to find the angle-—The following example will indicate the procedure necessary to find the angle when the logarithm of a trigonometric function of the angle is given.

Exampte: Find @ if log cos 02=9.85391—10.

Solution.—On the page at the top of which 44° appears, and in the column headed cos find the two entries 9.85399 and 9.85386 between which the given logarithm lies. Write 0=44°24’+ asso- ciated with the entry 9.85399. The difference between 9.85399 and the given logarithm is 0.00008; hence enter the adjacent column headed ‘‘diff’”’ and opposite the 8 in boldface read 39’’ in the asso- ciated seconds column. Hence

d Dz.

6=44°24'39’".

In obtaining approximate position, observe only the two digits in boldface at the top of the page while leafing through the table in search of the desired page.

Rue: Whenever, in the process of finding the appropriate number of seconds, there is a choice between two or more entries one of which is printed in boldface always give preference to the bold-faced entry.

Here again direct interpolation may be used. For this purpose solve the formula written above, d=(n/60) D for n to obtain

where n and D have the same meanings as above and d is the difference between the logarithm corresponding to the correct number of minutes and the given logarithm.

TABLE 34.—LOGARITHMIC AND NATURAL HAVERSINES. The haversine is defined by the following relation:

hav. A=% vers. A=%4(1—cos A)=sin? 4 A. hav. A=hay. (360°— A); thus hav. 210°=hav. 150°.

It is a trigonometric function which simplifies the solution of many problems in nautical astron- omy as well as in plane trigonometry. To afford the maximum facility in carrying out the processes of solution, the values of the natural haversine and its logarithm are set down together in a single table for all values of angle ranging from 0° to 360°, expressed both in are and in time.

TABLE 35.—THE LONGITUDE FACTOR.

The change in longitude due to a change of 1’ in latitude, called the longitude factor, F, is given in this table at suitable intervals of latitude and azimuth. The quantities tabulated are computed from the formula—

F=sec. Lat.Xcot. Az.

When a time sight is solved with a dead-reckoning latitude, the resulting longitude is only true if the latitude be correct. This table, by setting forth the number of minutes of longitude due to each minute of error in latitude, gives the means of finding the correction to the longitude for any error that may subsequently be disclosed in the latitude used in the computation.

12 EXPLANATION OF TABLES .

Thus, if the body bears S. 45° E. and the change in latitude is to the southward, the change in longitude will be to the westward; and, if the change in latitude is to the northward, the change in longitude will be to the eastward.

The convenient application of the longitude factor in finding the intersection of position lines is explained under ‘‘Computing the intersection of position lines,” chapter XIV.

TABLE 36.—THE LATITUDE FACTOR.

The change in latitude due to a change of 1’ in the longitude, called the latitude factor, f, is given in this table at suitable intervals of latitude and azimuth. The quantities tabulated, being the reciprocals of the values of the longitude factor, are computed from the formula—

he 1 f F sec. Lat. X cot. Az.

When an ex-meridian sight is solved with a longitude afterwards found to be in error, this table, by setting forth the number of minutes of latitude due to each 1’ of error in longitude, gives the means of finding the correction in the latitude for the amount of error in the longitude used in the calculation.

Regarding the azimuth of the observed celestial body as less than 90° and as measured from either the North or the South point of the horizon toward East or West, the rule for determining whether the correction in latitude is to be applied to the northward or to the southward is as follows: » If the change in longitude is of the same name as the second letter of the bearing, the change in lati- tude is of the contrary name to the first letter, and vice versa. Thus, if the body bears S. 14° E. and the change in longitude is to the westward, the change in latitude will be to the southward, and, if the change in longitude is to the eastward, the change in latitude will be to the northward.

=cos. Lat.Xtan. Az.

TABLE 37.—NOON INTERVAL FACTOR.

An important item in the day’s work is the proper setting of the watch to show the correct time of local apparent noon, or to find the interval of time from the morning sun observation to local apparent noon. The rate of change of longitude of the sun in its diurnal path from east to west is 900’ per hour. If to this is added the hourly change in longitude of the vessel due to course and speed, combined with the current, when this change of longitude is to the eastward, or if to this is subtracted the hourly change in longitude when speed and current are to the westward, the result will be the rate of approach per hour of the meridian of the sun toward the meridian of the observer. Suppose at watch time 7» 59™ 43s (G. C. T. 12 12™ 508) the local observation of sun gave an easterly hour angle of 35 34™ 068 (3.5683), the vessel changes longitude 19’ every hour to the eastward due to course and speed, and that the current in longitude is 0’.6 eastward; then the interval to noon is

3.5683X oe From the table for 19’.6, Easterly hourly change in longitude the factor found is -97869 and this number multiplied by the hour angle 34.5683 is the interval to noon.

logarithm of .97869=9.99065 logarithm of 3».5683=0.55246

logarithm of interval=0.54311=34.4923—3h 29™ $28

W.T. obs. 7» 59™ 438 Gale: Dofobss 2h a2 =550s Intv. to noon, 3 29 32 TInty. to noon, 3 20) BP W. T. of L. A. noon, 11 29 15 G. C. T. of L. A. noon, 15 42 22

The declination for noon is found in the nautical almanac for G. C. T 15 42™ 22s,

TABLE 38.—CONVERSION OF SIDEREAL INTO MEAN SOLAR TIME. TABLE 39.—CONVERSION OF MEAN SOLAR INTO SIDEREAL TIME.

These tables give, respectively, the reductions necessary to convert intervals of sidereal time into those of mean solar time, and intervals of mean solar into those of sidereal time. The reduction for any interval is found by entering with the number of hours at the top and the number of minutes at the side, adding the reduction for seconds as given in the margin.

The relations between mean solar and sidereal time intervals, and the methods of conversion of these times, are given in Chapter IX.

TABLE 40.—CORRECTIONS TO BE APPLIED TO FIND THE TRUE ALTITUDE OF A

STAR AND ALSO OF THE SUN FROM THE OBSERVED ALTITUDE ABOVE THE HORIZON.

This is a consolidated table in which the tabulated correction for an observed altitude of a star combines the mean refraction, and that for an observed altitude of the sun’s lower limb combines the mean refraction, the parallax, and the mean semidiameter, which is taken as 16’. The addi- tional correction for the sun takes account of the variation of the sun’s semidiameter in the different months of the year. The auxiliary table for height of eye gives the additional corrections for dip.

EXPLANATION OF TABLES 13

TABLE 41.—CORRECTIONS TO BE APPLIED TO FIND THE TRUE ALTITUDE OF THE MOON FROM THE OBSERVED ALTITUDE ABOVE THE HORIZON.

In this table, which is to be entered with the observed altitude in the side column and from the top with the horizontal parallax as obtained from the Nautical Almanac for the time of observation, there are set down the corrections to be applied to the observed altitude of the moon’s upper limb above the horizon, and also of the lower limb, giving the combined effect of the astronomical refraction for the mean state of the atmosphere. and of the parallax and semidiameter of the moon. The auxiliary table for height of eye gives the correction for dip.

TABLE 42.—CONVERSION OF ARC AND TIME.

This table, which is divided into three parts, contains: First, angular measures of arc from 0° to 360°, with corresponding values expressed in time (hours and minutes); second, angular measures of are from 0/00’’ to 60'00’’ with corresponding values expressed in time (mint tes, seconds) ; third, angu- lar measures of are 0’’ to 60’’ with corresponding values expressed in decimals of a second of time.

The table will be especially convenient in dealing with longitude and hour angle when converting from time to arc or vice versa.

TABLE 43.—CONVERSION OF LOCAL CIVIL TIME TO GREENWICH CIVIL TIME.

This table is divided into two parts, the upper part is for places in west longitude and the lower for east longitude. The table is entered with local civil or watch time of place then under the column of longitude or time zone of observer is found the G. C. T. for the local date. If the G. C. T. is found where there are italic type in west longitude, then the Greenwich date is one day ahead of the local date, or the next day; if the G. C. T. is found in italic type in east longitude, then the Greenwich date is one day before the local date.

Example: Find the approximate G. C. T. and the date corresponding to a watch time of 11 p. m. on July 1, Long. 136° W.

Enter table with L. C. T. 23" and under Long. 135°, the G. C. T. is 84, since it is found in italic type the date is one day ahead or July 2.

Example: Find the approximate L. C. T. or watch time of Washington, D.C., when it is 4 a.m. watch time July 4, Manila P. I.

Enter table of East Long. with L. C. T. 45 and under 120° (—8 zone) is found, G. C. T. 205 in italic type which is G. C. T. 205 July 3. In the first table (west longitude) look under 75° (+5 zone) for Washington and for G. C. T. 204, then under L. C. T. is found 154, or 3 p. m. July 3. Whenever G. C. T. is found in italic type, the date for L. C. T. is changed from the date of the known G. C. T.; in other words, it is a reversal of the process.

ie a iy : Why ow)

[Page 15 |

TABLE 1.

Radio Bearing Conversion.

Correction to be applied to radio bearing to convert to mercator bearing.

Difference of longitude

ros wes HD SB OHS [rs ANT OD SH GD © Be OO SS | si AT OD HD SO Be OO DD S&S Js AT O19 SH 1D 6 Be OH FS st AT OD HD OO Be HS SN OD HID OP ODS == TNT NNT TNT NT TNT NY GD 61D OD CVD GHD OD CVD TD GYD CHD SH SH eH SH HH SHH SH SHR | 26 2D 2D UD RED BED BD UD SO 6 OD HD 10 OPE |CO DOO HANA OD HID LD OM OARDONHINAM HHINO OME |DORDOOCHHAANNA|M HH Hin inooor~ 9 a meres hoe | aaa BHAA BAHN AINA AA AAA AA IAI IN 09 09 05 05 05 09 05 |09 05 05 05 09 05 05 05 0505 v2) | OD SH SH ID COOP |00 O DOO HAA HH ID OOM OM DAO ANN OD HH 1D IN OOM OD DROO MHA A AO) OO SH SH SH 1D & Se ees | eee SH SHAH SAAN INNA AAA AAA AIA AI IT A 05 05 05 05 05 05 05 05 05 05 05 05 0d © OD OD SH 1D 19 OO | OO DOOHAN CD |H Hi9idD9oOr DO AIDOTDHAAANM HHhIIDOOOM~ DOWD A|DOOOHAANNN Re Cn SS beame ae a BHABHA HAA AAA AANA N ANNAN AA IN ANA AI AI AIA A ai od 05 05 09 05 05 015 05 009 AOD SH HID OOS OO DOOH HAIN CO HH 1N1D OOM W/O OW RDOOHHAANAA 090 OO HH INIDO OOM | ODDARDOOO be Oi ks a el ae ea eee BAAR AAA AAA AIA HANNA NANA NNN AANA IAIN A I 05 05 03 6 COD 69 SH 1D 19 © [CO EB 00 OO DOO HIN N00 09 HH 1D 1D OO [Pe OD ADROO MI TIHANAAN 69 OD HH 1919 110 0 OOP ~~ C00 ue ee) ar oar | |e ae eee De ee ee ee TK Mo KMS Ka Kes Noe oe a Kos Kes Nos oe Bo Kos os os Ks Kos Ms To o A C109 69 SH SH ID 1D |CO OM OD ADOOANANN MO HHHIDISOOOMES DOD AMDIOOHAAAAN 09 00/00 HH HH 1919 OO © See ae oo | eae rea Hopp AeA AAAS AAA AAA AINANAN ANNAN NN NNN i CVA 09 09 SH SH 19 [19 O OPE WOW OW ADAIOOHANANN MOO HIHHIDIOD OME DIDONADAHOCON AHA ANAN OD OD OO SHH 1S Ne i | See aaa uae ene ores ee et tN Kos Kos fos Ko Hox Kos Ms Kes Kos os os os os 1s 5 CN ON OD CD SH SH SH 19 19 6 CO OE BH COO DOOM IAA 69 09 SH HH 19 19 19 6 [0 I I~ 10 HCO CODD COCOnNnRRHNN 19 as eat on de | Pach icP se ese || aa poids dtd pA eA AAAS FA AA NINN NANA % NANA 6D 09 CO SHIH DIN DOOOKE CO|WDARDODO RAHN AAA OD 60 HHH HD 190190 OO ODS (0 WW WORM DDO <i ee et IE So St oor ea | eo an es Se ee ee eee ee ee et Eero 6 THA 69 09 OF) SH SH SH SH 1D ID OOO RODD DAADS OOH HHANANAN MOO HHH HNN N|\OOOOONRRERE ~ (ire stearate [eects hee ial | th cet eres exe ee pels dt dtp pA AAAS |p e nnn 16 ANNAN AA ODO HH HH IDI INOOlOORE EY DDNDNDNAIBDRBODOOM AAA IN AAA A 09 09 09 0D OD [SH SH SH SH SH XH 19 19 19 1D ay (aye eee apie ~O|| Begala ater ehwe all eo ae eee niddt tees SpA AAA AAA AAA 6 ANNAN [09 09 09 SHH HH 1D 19 11D OOOO OME WI|DDDDAMWMBDRDOODOOORNANAAAAAINANNNANAN 09 09 OD By eyo 20 A pola 9 9 oD op woo oll 0 De @ OO 6 OD Daf oo '0 0 0 9 Ove 2G 39||"9 <6 Io 9 9 9 9. 6 9 g/l 4 9 Gg 9 og oo og a on AANA NAIA 6D 09 00 00 HH HH HID LD ID IDNINODOOOO/OhEEKREDDNHD|DNNRMBHAMDOSC|OODOOCOCONAAY a IATA O:80: 50 90]|05.0e0 08S VOD OAoO)) On O80 LOS =0)0 0 (Oo A 0-O“0 go 6 (OV) 6 9-0 GB. 9 Se Pa || se Pc pe PS SIN NAA 9 09 09 09 09 OD SH SH SH SH SH SH DH 1D 1D IAD IUD AD OO OOOO OO|OMM Ie 00H O/H WWW MOMWOD ° ) A256 6 Oo Oo oll o-a o 6 Go oF G-o © oll o oO 080°0 0-0 0-0 Oo] 0 0 0 50°50 600-00 oo 0 6 oO Go O-6 Oo Oo] oO oO Go ob 0 oO oOo 8 N 1o 1 % PSS INN NAN AAA 09 09 09 09 09 CD SH OSH SH SH SH SH OSH SH OH SH 1D 19199 [19 19 19 19) 19) 1D OO OOO OOO OOOOOO heed, os OO. ou o 8G) Ondo "OL ome oll BO. Ue oso) 0..9—"Gi=Oeull!c. G0: 0.50. 0: O08 Grdll. ao 0.) O- o> 0. 0d: -all’ oOo. a OF 0 G00. 0 = is | PSS NNN AINA NNN AAA 09 09 0 019 0 O19 CD C19 CD 10D O19 OY SH SH SH SH OSH SH SH SH SH SS HSH SHH ° armoweOo nt. De Ol) Oe OO da G. Ot teeth Ol late LOm cco sO Soro. 20. btn Oifo0e-0. 0 soa od -oyeo “OllW.o 0" Or 080" -04 OS 0; OOD 2050) 0) 0 O60 0:0) .0 = 1 |

‘ay

of station, the correction is

eastward westward

In north latitude when vessel is

TABLE 1.

Radio Bearing Conversion.

Correction to be applied to radio bearing to convert to mercator bearing.

o a] a a) =I 3) =| iS} = al 3} 2 i) =| o 3 & to a

Oo HINO ONS tl

Or ADONCD1D

AM NNANNNANN

INI WORN HD O00 SRA NANNNANAN

NANA AAA AN OD OnMNAHINOWDRDO-4 fsssesceebeacses ia

me AIO) SHO OD ODS OM GYD GYD CPD GYD GYD CFD CY) CVD “SH

St SH SH SH SH SH 19 19 19 19

DONDH19N~ ODO OD 01D CVD CVD OY) YD OY) OD SH

HOD HID Or ODTINA SH ost SH SH SH SH SH oH 19 19

LD 1D) 19 1D 19 19) 9) OOO

WOODODDOODONDO

IDO WOHONMHLOy AAT HNNNANNN

NIN 0D 0D 01D 0) 01) OY) OD OY)

SANHNOMODDO TH SH SH OSH St SH SH SH SH 19

AN OD Hid OP COM OD LG) AD LD 1D) AD 1D 1) 1D) 1D 1D

1D OP ODIAN O19

~DOTN Hid AIAN 69 0D 0) OY) OY) 0) OD OY)

DOAN HiINOMm~oO OO SH SH SH SH SH SH SH SH tH

BDOANDMHINOM*D HAD 19 19 19 19) 19 19. 1.9 1D

SCAN HH19DOtby WOODOODODOODOOO

DOSTANA GOH HD IDIDMO OO OOOO

SAAT ANANANN

OMDOANDHOO ITNT OD 01D OY) 1D C1) CD OD

WORDANDHiNor 0) CY) CD SH SH SH SH SH SH SH

DAOANA CD H 19 TSH SH LD 19 199 19 19) 1.9 19 1D)

rKODOOTNAHOD LD UD UD 1D) COCO OOOO

0 19 CO. 00102 rH NI OD sH AnH NNNN

Igoe WOW N 691919 NAAN 0D 0 01) 09 0D OF)

OMmMODRDONNM HID OD 0) CD) OO SH SH SH SH SH SH

OO THID OW DONG AMARTH TNNNN

HISD RDOTNH H NAAN AA OD 00 0D OD OD

COr-DRDONANOH SH OSH SH SH 1D 19 19 19) 19 1)

ID1IDO I~ ORDOr LD LD UD LD 1D) 1D 1D 19 OO

INDO ODOnN GH OD 6D CY) CD CD SH SH SH SH tH

IDID OMm™ARHRHONN SH ost SH SH SH SH SH 1 19 19

OD 0) SHLD 19 CO P= P+ 00 00 LD LD 1D LD 1D 1D) 4D 19 19. 1D

MHIiIDOMOAOOTnN SANTANA

0919 19 ID ODOMINGD NANA AN OD OD 6) OD

HOOOM-DDOTN CD) OY) OY) CY) Cf) OY) CY SH SH SH

OH IDINOnDNDAS si i oi di oi di <i di id

TN 0D 69 SH 1D 19 OO LAD) LD LD LD LD) UD AD 1D LD) LD)

NOHIDOMmMADAN RAAT HNN

OD HID OI ODDO NANANAANN OD OD

NO HIN Or ODO CD OD OD OY) OY) OY) CY) CY) SH SH

rN OD OD HN Oo Ph PO Sst St St St SH SH SH SH tH

DOORMAN COD HH aH iid 1d 15 19 15 15 15:15

NO HIQOM~ODOM4 Mess NN

NOD SH HID OI OOO NANNANANANAN OD

TH OD SH SH 19 CO P= 00 OD YD CD OD CY) CVD CD CFD CD OD

DOHA) OD SH 19 19 CO SH SH SH SH SH SH SH SH SH

~rDRHROOTNAN SH SH SH OSH SH 1D 19 19 19 19

MAH HIDOMr-ORO Fr ee oe on BO oe |

FNM HIDOOM OD NANANANAAANN

OnAN OD OD SHIN Or 0 OD 6 OD OD OY) OY) OY) OD 01D CD

DHOOTAAN GD) HID 9 6) SH SH SH SH XH SH SH SH

DOOR DNADSOS oi oi di oi oi gif didi

NOD Hid 1D Oh OD De OD |

SAN CO HHIDOr OO ANNANANANAA

DOONAN HHI co OD OY) CD CD CY) OY) CD OF) OD

OMAODOMANN OD) 69 OD Of) OD SH SH SH SH SH

OH HID OOK ROO xi xi si di di di di i st si

COAN Hid OOM Se hc Oe

DOOTANN CD H190 Ot ANANANANANAN

~rPODOAANAD OOH

IDOOr-- DADO CD OD OD OY) OD 01D CVD CY) SH SH

ANN OO HH 19 1D OO SH oSH SH SH SH St SH St St SH

CONAN MHIDOOr- bs Oe fe Oe Oe Oe oe

DOOOANAGD Ht xH19 TAH NANANANANANN

COOrARMRWOANANN AANA AA 6D 09 09 09

OD SH SH 19 19) 6 Ie PC 00 GD OD CVD 0D 61D CVD CY) CVD CYD OD

BDOONANNN OOD OO SH SH SH SH SH SH SH SH SH

OO Hud

OM~no

OOANNM HINO ree fh De

~rODAOTNN CO H AAA HNNANNANN

IDiN OOM ORDOOr NANANAANAN OD OD

TANIA 69 SH SH 19 19 OD GYD CY) CVD CVD GYD CVD CY) OD CVD

~-DDDRROOnr OD OD OYD CY) CD CD SH SH SH SH

DAOANN& H1919

HNHOMnM DRS Se Sass a A

Cr ADNDOTRTANN MRM HH NNNANN

MAS HINOnM ODS NANA A AAA AT OD

OD SH SH 19 CO OT CO COD ANNANANAANNA

i) x

COn FANN OHHH GYD CY) YD CYD GYD CVD CYD GYD CVD CVD

MAND HIN OD OAS St SH SH St St tt HH

IDO OOr~-r-DNOD

19 1 19 19 26 19 19 16 19

f station the correction is

eastward westward °

In south latitude when the vessel is

TABLE 2. [Page 17

Conversion of Points to Degrees

Points. ANAL Points. Angular

NORTH TO BAST. EAST TO SOUTH.

SE. by E%4E SE. by E4E SE. by E4E

S. by EE S. by E4E S. by EYE

S. by W34W WwW

NW. by W4W

NW. by W4W_____-

Ny SW. by W4W SW. by WW ow: by Wi4W

66806°—38——2 >

Page 18] TABLE 3. Difference of Latitude and Departure for 1° (179°, 181°, 359°). Lat. Dep. } Dist. Dep. f hs Dep. . Lat. Dep.

181.0 182.0 183. 0 184. 0 185. 0 186. 0 187.0 188. 0 189. 0 190. 0 191.0 192. 0 193. 0 194. 0 195. 0

ray SCOMONAOOKwWHe

iL, 2. 3. 4. 5. 6. 7. 8. 9. 0. 1. 2,

0 0 0 0 0 0 0 0 0 0 0 0 0 0 . 0 0 .0 0 . 0 . 0 .0 0 0 0 0 0 0 0 . 0 . 0 .0 2.0 0 0 . 0 . 0

= b

~~~ SOON Oe wrt

ie) POLO

AAA AAA AAA A PR RRR AR PR RAP eR RRR STI ST SID DDD DH GD] OVO O71 OF Or Or BR HE HE] HB Co G9 CO Co CO CO DD ND

a SSS ae l SMAI NIA TAAXADAMWOCOOO EP PPR ewwWWWOWN) NNN NR HERE

Pree Presses esses sss2se9|eeseseseseeieeeseeseeee eeeseeereesee\ esseeereeeese SSSSSSH OOS! SDOWDWDWH DH HDA IAIRAARBRABAAMNATNATE AR AR WWWWOWNUNNN| NNER HE HEHEHOO NNNE HEHE OOlOSCSCO ODDO COD! WHDMHDIIIAIIARABABUAUNATATKUKA AREA wlOwwwnwNNyNynNlDy

BPH HHH SOO OS|OCODODDODODNDND HDHNDIIIIIIND ARMRMNNKNTATH ALARA RWW) WONNNNNHHEH SRR RR RR RR) RH G9 G9 Go G9 GD 0! GO GO G9 99 G9 SO 9 G9 OO G9) B9 G2 G9 G9 09 G9 GO 49 G9 99] GO Od GO OO G9 G9 OO G9 C9 99] SO EO GO CO GO OO GO 09 EO CO

NNNNNNNNN EEE ee pee SUT HT SM OT OT OY TCT OT TS HS S| HR PRS NNNNNRPRPRER| ROCCO SCOCCC Ol SOD OMONMOMmMm~AI~

cooocooococjioecoocoecocoso lll ell el eo) lol ool ale ole ole he oie He 2}

al i=) + tc =) +

89° (91°, 269°, 271°).

In Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles. Hypote-

nuse.

TABLE 3. [Page 19 Difference of Latitude and Departure for 1° (179°, 181°, 359°).

Dep. | Dist. Lat. Dep. | Dist. Lat. Dep.

oOo SOISEO NE) SOOT D2 DD CUSTOTOT ST OT

556.9

90 90 99 G9 90 G9 Se G9 So G2] G9 Go G9 Go 99 G9 99 G9 99 G9} G9 90 G9 HOON NIN NIN NNN NN NNN NNN NANA ANNAN PRPWWWWOWWNMNINNNNRP ERE KEK Sl OOOO CDM OO SD) OMMNMOMOMONININTNNIAAAHWBWANIHAIOOUAA AAR ROO $O $0 $0 $0 $0 {0 {0D DD} D [O99 DD D5] D9 | {OB {0 59 © {0 © 0] G0 50 G0 50 G0 G0 50 G0 50 G9] G2 90 G9 SO 99 GO 99 Ge 99 Go| Ge 90 Ge 90 G9 Se Ge 5e O8 90 PPR COWWWINNNNNNRP REE REPROD OSC OCOD OCOD OMAMDNMON NINN NTNAADADOONIKTop PAH

neh a a aa a a ad a a fA ee eed ed ee | Coe eee COCR RR R00 W/W WOOD NNN NNE HEHEHE OSS OO]ODDDDOMMMH MOIIIIIIAD

In Plane Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Middle Latitude Sailing.

Forconverting Dep.into Diff. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 20] TABLE 3. Difference of Latitude and Departure for 2° (178°, 182°, 358°).

Lat.

\~] 3 >

240.9

241.9

242.9

243.9

244.9

245.9

246.8

247.8

248. 8

249.8

250. 8 251.8 252.8 253. 8 254. 8 255. 8 256. 8 257.8 258. 8 259.8 260.8 261.8 262.8 263. 8 264, 8 265.8 266. 8 267.8 268. 8 269.8 270.8 271.8 272.8 273.8 274. 8 275.8 276.8 277.8 278.8 279.8 280. 8 281.8 282.8 283. 8 284, 8 285. 8 286. 8 287.8 288. 8 289.8 290. 8 291.8 292.8 293.8 294. 8 295.8 296.8 297.8 298. 8 299. 8

coscoocosoo See

See avackace PDO MID TUB gobo ps PNP NNN PPP wow h hy NF $9 ge [0 G0 GP G0 G0 G0 GO Go WIWTOAAM Crop

NE PL in aoa ESE eoooeooooocicocooosoooOoSo

QAIsINaIsya4is4ya4y sy IDRARR AAW PE PP PP RR RRR RR RR Re eRe OO 0 CONTAT AID OO] CLOT OT HR 09 C9 CO bO

BSD Fh ft fat fat fet et ft pe SO RNS OUP oo bor occoocooooocoso

OO ESL EI ROLOLO RIES] CO OMAIIA ANN

{© $0 $0 50 0 G0 Gh O0 GO Go

Ce ROIRS he

OO QO1G91G0)00) 00/2169] 00100) 69

bo OO SRNR S DOOO! ODDOODODDDOO

{© $0 § 5D $D {D {0 {0 $D {| {0 (0 $0 DD 0] 50:0

171.9 172.9 173.9 174.9 175.9 176.9 177.9 178.9 179.9

BP COINS FS /50) 90) S19) TUL 9) BO)F | CSO 50 SAD OU es 9 BO) SO GOO SUE RIOT SCOCCOSCSCOSCO|SCOSCSoOSCOCOSCSS|OSCSOSOSCOSOSOSOSCO/ COSCO SOOSOOoSoS 7

Bee ee ee pt

NM KH SCOCOD OO DODDNNNARAHDMUAIEPEPRWWNNDN HHH OODODO DMO SSSSSSSSSSISSSSS OOOO

CUR He HE CW COCO DDN HH HOOD DODD OIINIARBDUNH PR PWWHDNH EH OODOOD OOM)

IR IRB IRR iB 99 99 G9] 09 G0 99 G9 G0 29 G9 G9 9 09] 69 09 9 49 99 G9 9 29 G9 G2] O99 49 49 99 99 G9 BO LO LDS PD DDD DD MMA AA AHHH A HM THA TA HR A HAAR AAT T Te

WCONNNHHHODO ODD DHDDONNNAOUMNOE PRR WWW DNNHEHOOOO

2 2. 2 2: 2 2 2 2 2! 3 3 3 3 3 3 3 3 3 3) 4 4 4 4 4 4 4 4 4 4 5 5 5! 5: 5: 55. 5 5 5: 5! 6

SLHNDS io

ls i=) sf

In Plane Sailing. Dist. Lat.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. To Middle Latitude Sailing. r J a

Tor converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing. u

For multiplication of numbers by sines and by cosines, or : solution of plane right-angled triangles. Hypote, ace

TABLE 3. Difference of Latitude and Departure for 2° (178°, 182°, 358°).

In Plane Sailing.

For converting Dep.into Diff. Heo: and Diff. Long.into Dep. In Middle Latitude Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or ~ solution of plane right-angled triangles. pivpote; pide

Page 22] TABLE 3. Difference of Latitude and Departure for 3° (177°, 183°, 357°).

rProssssssslssssssssso SOOO WMOMIIDA Ook RWC et = SBBEEEESE!

(oe) DOO OO] ST TST ST ST ST ST ST TT) DD DDD SO> & SD SERBREBRES BpISNP BES BBnRAR ARES

lo 2Mhe ole ofe 2}

Oo © & J) oo BAISKESOS SSASRPSSRS) SSASSRRSSASSSNSKESW: WODODODOOD OD DDDDDODODODODD/ ODDDOOOOOCO|OSCOSCO

1 1 1 1 1 13 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 i 1 1 1 1 1

SESE IE UM UIT SUSU UST TUR HH | SR BR RH YR YR HR IB Go G0 G9 G9 69 G9! G9 G0 G9 G0 G9 GO C9 G9

PO WSN NNNNIDPNPNNNNUNNIDNDE EE Peele papier pip ps KKH OCOD DONNADAOPPWWNH HOODOO MDONNA OOP PWD De

"In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing. i co a

} Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Salling. f- u “

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. [Page 23 Difference of Latitude and Departure for 3° (177°, 183°, 357°). Lat. Dep.

480.3 | 25.2 481.3 | 25.2 482.3 | 25.3 483.3 | 25.3 484.3 | 25,4 485.3 | 25.4 486.3 | 25.5 487.3 | 25.5 488.3 | 25.6 489.3 | 20.

46 | 545.3 | 28.6

2 490.3 | 20. 550.2 | 28.8 491.3 | 25. 551.2 | 28.9 492.3 | 25. 552.2 | 28.9 493.3 | 25. 503.2 | 29.0 494.3 | 25. 504.2 | 29.0 495.3 | 26. 555.2 | 29.1 496.3 | 26. 556.2 | 29.2 497.3 ; 557.2 | 29.2 498.3 558.2 | 29.3 499.3 559.2 | 29.3 500. 3 560.2 | 29.4 } 501.3 561.2} 29.4 502. 3 562.2 | 29.5 503. 3 563.2 | 29.5 504. 3 564.2 | 29.6 506. 3 565.2 | 29.6 506. 3 566.2} 29.7 507.3 567.2 | 29.7 508. 3 568.2 | 29.8 509. 3 569.2 | 29.8 510.3 570.2 | 29.9 511.3 571.2 | 29.9 512.3 572.2 | 30.0 513.3 573.2 | 30.0 514.3 574.2 | 30.1 516.3 575.2 | 30.1 516. 3 576.2 | 30.2 517.3 577.2 | 30.3 518. 3 578.2 | 30.3 519.3 579.2 | 30.4 520. 3 580.2 | 30.4 521.3 581.2 | 30.5 522. 3 582.2 | 30.5 523. 3 583.2 | 30.6 524.3 584.2 | 30.6 525. 3 585.2 | 30.7 526. 3 586.2 | 30.7 527. 3 587.2 | 30.8 528. 3 588.2 | 30.8 529. 3 589.2 | 30.9 530. 3 590.2 | 30.9 531.3 591.2 | 31.0 532. 3 592.2 | 31.0 533. 3 593.2 | 31.1 534, 3 594.2] 31.1 530. 3 595.2 | 31.2 536. 3 596.2} 31.2 537. 3 597.2 | 31.3 538. 3 598.2 | 31.3 539. 3 599.2} 31.4

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude soins me ee a

For converting Dep. into Diff. Long.and Diff. Long. into De. In Mercator Sailing. Wie eae: aes ne

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. Difference of Latitude and Departure for 4° (176°, 184°, 356°).

240. 4 241.4 242. 4 243. 4 244, 4 245, 4 246. 4 247.4 248. 4 249. 4

200. 4 251.4 252. 4 253. 4 254. 4 255. 4 256. 4 257.4 208. 4 209. 4

260. 4 261.4 262. 4 263. 4 264. 4 265. 4 266.3 267.3 268.3 269.3

270.3 271.3 272.3 273.3 274.3 275.3 276.3 277.3 278.3 279.3 280. 3 281.3 282.3 283.3 284.3 285.3 286. 3 287.3 288.3 289.3 290.3 291.3 292.3 293.3 294. 3 295.3 296. 3 297.3 298. 3 299.3

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. il. 12. 13. 14. 15. 16. 17. 18. 19. 20. 20. 21. 22. 23. 24, 25.

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 .9 .9 .9 9 ne)

ESEAS|SSNSRE

WOOODODI ODDOODOOOOCO

Race Seen OUP 99 BO FS) SO. GO NI >. 1 BH EHH es

OSSD 31S} O31 OS! O31 OS OS 9 EU UU UT CUCU CUCU ISH

DININININ NIN INE D TU 09 9 bO

Dep.

Plane Sailing. Dist. | Lat.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. De Tn Middle Latitude Sailing. Long. 12h

} Forconverting Dep. into Diff. Lony. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or eel $ solution of plane right-angled triangles. eiynote: Bide

TABLE 3.

Difference of Latitude and Departure for 4° (176°, 184°, 356°).

Dist. | Lat. Lat Dep. Dep. 301 | 300.3 A79.8 | 33.6 | 541 37.7 02 | 301.3 480.8 | 33.6 37.8 2 | 302.3 481.8 | 33.7 37.9 04 | 303.3 482.8 | 33.8 37.9 05 | 304.3 483.8 | 33.8 38. 0 06 | 305.3 484.8 | 33.9 38.1 07 | 306.3 485.8 | 34.0 38. 2 08 | 307.2 486.8 | 34.0 38. 2 09 | 308. 2 487.8 | 34.1 38.3 10 | 309. 2 488.8 | 34.2 38. 4 311 | 310.2 489.8 | 34.3 38. 4 12 | 311.2 490.8 | 34.3 38.5 13 | 312.2 491.8 | 34.4 38. 6 14 | 313.2 492.8 | 34.5 38. 6 15 | 314.2 493.8 | 34.5 38. 7 16 | 315.2 494.8 . 6 38.8 17 | 316.2 495. 8 SU 38. 9 18 | 317.2 496. 8 ot 38. 9 19 | 318.2 497.8 .8 39.0 20 | 319. 2 498.8 50) 39.1 321 | 320.2 499.8 ug 39.1 22 | 321.2 500. 8 0 39. 2 23 | 322.2 501. 8 yal 39.3 24 | 323.2 502. 8 2 39.3 25 | 324.2 503. 8 2 39.4 26 | 325.2 504. 8 .o 39.5 27 | 326.2 505. 8 . 4 39.6 28 | 327.2 506. 8 4 39. 6 29 | 328.2 507.8 m3) 39. 7 30 | 329.2 508. 8 . 6 39.8 331 | 330.2 509. 8 . 6 39.8 32) | 331. 2 510. 8 7 39.9 33 | 332.2 611.8 8 40.0 34 | 333.2 512.7 9 40.0 35 | 334.2 513.7 9 40.1 36 | 335. 2 514.7 . 0 40.2 37 | 336. 2 515. 7 1 40. 2 38 | 337.2 516. 7 bal 40.3 39 | 338. 2 517.7 BY 40. 4 40 | 339. 2 518. 7 be 40.5 341 | 340.2 | 23.8 519. 7 53) 40.5 42 | 341.2 | 23.9 520. 7 4 40. 6 43 | 342.2 | 23.9 521.7 .o 40.7 44 | 343.2 | 24.0} 022. 7 . 6 40.7 45 | 344.2 | 24.1 523. 7 . 6 40.8 46 | 345.2 | 24.1 4 524. 7 LU 40.9 47 | 346.2 | 24.2 52. 7 8 40.9 48 | 347.2 | 24.3 526. 7 8 41.0 49 | 348.1 | 24.3 527.7 9 41.1 50 | 349.1 | 24.4 528. 7 .0 41.2 351 | 350.1 4.5 529. 7 .0 41.2 52 | 351.1 | 24.6] 530. 7 mall 41.3 53 | 352.1 | 24.6 531.7 2 41.4 54 | 353.1 | 24.7 § 532. 7 22 41.4 55 | 354.1 | 24.8 | 533. 7 .3 41.5 56 | 355.1 | 24.8 | 534. 7 w4 41.6 57 | 356.1 | 24.9 | 535. 7 .O8 41.6 58 | 357.1 | 25.0 536. 7 .5 41.7 59 | 358.1 | 25.0 537. 7 .6 41.8 60 | 359.1 | 25.1 | 538. 7 7 41.9 Dist. | Dep. Dep. Lat. Lat

In Plane Sailing.

For converting Dep.into Dif’. Long.and Diff. Long.into Dep. In Middle Latitude Sailing.

For converting Dep.into Dif’. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

NxXCos. | NxXSin.

Page 26] TABLE 8.

Difference of Latitude and Departure for 5° (175°, 185°, 355°). Lat. KE ist. Lat. Dep. | Dist. Lat. Dep. | Dist. Lat.

10.5 | 181 | 180.3 241 | 240.1 181.3 42 | 241. 1 182. 3 43 | 242.1 183. 3 44 | 243.1 184. 3 45 | 244. 1 185, 3 246. 1 186. 3 246. 1 187.3 247, 1 188.3 248, 1 189. 3 249. 0

190. 3 250. 0 191.3 251.0 192.3 252. 0 193. 3 253. 0 194.3 254, 0 195. 3 255. 0 256. 0 257. 0 258. 0 259. 0

260. 0 261.0 262. 0 263. 0 264. 0 269. 0 266. 0 267. 0 268. 0 269. 0

270. 0 271.0 272.0 273. 0 274. 0 274. 9 275. 9 276. 9 277.9 278. 9

279. 9 280. 9 | 281. 9 282. 9 283. 9 284. 9 285. 9 286. 9 287.9 288. 9

289. 9 290. 9 291.9 292. 9 293. 9 294. 9 295. 9 296. 9 297. 9 20. 9 } 300 | 298.9

Lat. | Dist. Dep.

fea! 2 a

= iS) rac on

CWOWW FLA LE LE EEE PREP E EEE EAR ADHERE PROTON nooo ooo

iL 2. 3. 4. 5. 6. ub 8. 9.

0 . O 0 . 0 0 9

9 . 9 . 9 .9 ef) 9 9 38) 9 9

9 . 9 . 9 .9 9 9 , 9 5) 9 9

9 9 9 9 . 9 . 8 . 8 8 . 8 8 = 8 . 8 .8 . 8 . 8 . 8 .8 8 .8

8 . 8 1. 8 .8 . 8 . 8

COWARD ATPWNN/HODODNABABWUIPWINHODDMDOUIMUTALWNWNHODMUD

WCOMIAAME WWI WH OODIAURGDOTIP|ONWOHODODNANAPWWNWHODODUIAOIpPWNHOOOOH

NMP ROO DADUP PWNHODWDANATRWNHHODDNIATBRWNHODOIINTOUOMRWNHOO CONIMDUL WON ARWNHODOMDONRAAIBRWNNHODDIBUMTIPWNH OO MOIR AIRWNHH|OWDOYIRS HP pw rPODCDBDONIDoPw

SOTO OUR BR RR RR) PR ER RR BR G0 fo So Go Bo) CO BO OO WO DON N/NNNNNNNNEE/ EEE ppp SOOO OD OOO PP OSS © SO $0 $0} sO SO © §© $0 $0 SO SO 90 90} 00 90 90 G0 90 $9 19 1 HON IN NAINA NANA IAAAHAMBAAAA| MM nang grr

is) =

85° (95°, 265°, 275°).

In Plane Sailing. Dist.

For converting Dep. into oe om: and Diff. Long. into Dep. Diff. In Middle Latitude Sailin Long.

For converting Dep. into ae Long. and Diff Long. into Dep. In Mercator Sailing.

N. Hypote- nuse.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 8. Difference of Latitude and Departure for 5° (175°, 185°, 355°). Dep.

BEERERERES to 69 G9 09 69 ©9 G9 09 G9 0] OD Go OD 69 OD OD ODN IRE

RPREeE HERE OoOOCOooogocoooeooeovos PwWNEH OOO ONO] Op CN NrH OOo

29. 29. 30. 30. 30. 30. 30. 30. 30. 30. 30. 30. 30. 30. 31. 31. 31. 31. 31.

In Plane Sailing.

For converting Dep.into Diff. Long.and Diff. Long.into De In Middle Latitude Sailing. kd i Ean: ci

Forconverting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sees

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 28] ‘TABLE 3..

Difference of Latitude and Departure for 6° (174°, 186°, 354°).

Dep. |} Dist.

CHIATPwWHH SO SO OND OUR SO bo

DM OUMNH OTD DD A! DAADAIRAAARWAABAHWINIIANIA

DS SO 88 $8 $8 $8) sO sO sO SO sO 99 00 G0 G0 G0) G0 G0 G0 GO NT NT ST ST ST NY NINN NS? SS? > > D>

THRWNRH ODO DID UWNWHCODIDUARWNHOODIDOUAPWNOCHODIMDWUA WNWHODOODIDUP BRB BP BPR RP Ee BERR RENOWN NNN NNNNNNNNNWNW MONNWNWP WH Ww] WwWwWWwWHWoOwH WO

NINN NNN STN] SINT SINT NT. 00 00 00 GD | MH COM DODD MMDMMOM MDDMDMDMDDONODOOOD OWVNOOONOSONOOO COODSDOOCSSCOCoO HPODSONTIDAP WH OSOOOIAMIPWNHOODAIBDNUAWNHOOIABAMUPWNHOODIMAAUPWNHO OMNI RWNHOD

DIBAAMELWWHOO OIRAMURN HOOD IB ARWNHOCOD YRHURWNHODIARAAIRWNHOODIAMRWNHNHOOMDD TANNIN INAS NS INO MW COW MDD WDHWMWDMDDDDDDDI WDODODDODODODOODOIODDDDDODOO OOOO

DP D> D> DP MMT N SY SOTO a PR RS S| HR G0 Go GO GO G9 G9 Go) COCO ON NN NNINNE EEE Ee OSSD SOS SSS WN OOINATHWWHOOHDIRBDAUPW/ WHOODHDIBDAWN HOODHDIAMAMIAWN/HOODIAMIAPWH| COMIRDUR WH

oRWNrHODOMID

sy + lq Es

84°, (96°, 264°, 276°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. [Page 29 Difference of Latitude and Departure for 6° (174°, 186°, 354°).

Dep. } Dist. | Lat. Dep.

50.3 | 541 | 538.0 | 56.5

6 50.7) 45 | 542.0 | 57.0 50.8) 46 | 543.0 | 57.1 50.9 | 47 | 544.0 | 57.2 51.0] 48 | 545.0 | 57.3 BL.1 | 49 | 546.0 | 57.4 51.24 50 | 547.0 | 57.5 51.3 | 551 | 548.0 | 57.6 51.4] 52 | 549.0 | 57.7 51.54 53 | 550.0 | 57.8 51.6 | 54 | 551.0 | 57.9 51.7) 55 | 552.0 | 58.0 51.8] 56 | 553.0 | 58.1 52.0 | 57 | 553.9 | 58.2 52.1] 58 | 554.9 | 58.3 52.2] 59 | 555.9 | 58.4

4 |

Oro

58.94 76 | 572.

Ee ee

D> D> D> D> D> MONS AN GY SUOt an Guouy WNWHOOMDIBANARWNHOOONAGTARWHO (ee) oo on io) ns

D> D D> >? > > D> > HD] HAAR AARRAIRRRRABAAK ROUROIDODOIDOIROIDO ROS St at et tt SSIS SS 21S) NSO SO SO SO SO 50) FO!SO'SO 190 90'S NONPWN HOOD IRTP WHOODNAMRWNHODODN

In Plane Sailing. % For converting Dep.into Diff. Long.and Diff. Long. into Dep. In Middie Latitude Sailing. a 4 “

Forconverting Dep. into Dif’. Long. and Diff. Long. into Dep.

} In Mercator Saiiing.

} For multiplication of numbers by sines and by cosines, or Ne > solution of plane right-angled triangles. pupotes ae

Page 30] TABLE 38. Difference of Latitude and Departure for 7° (173°, 187°, 353°).

OOIAD TP Wb SO CO O>| So iC RO) Ee

DoW Hee Hee ee

Po SSI I OOIAD PWN HOMDIRD MW OHOONTACTH DH

7. 7. 7. ue 7. 8. 8. 8. 8. 8. 8. 8. 8. 9. 9. 9. 9. 9. 9. 9. 9. 0. 0. 0. 0. 0. 0. 0. 0. i 1. ik, 1. 1. is 1. 1. 1. 2. 2. 2. 2. 2. 2. 2. 2. 3. 3. 3. 3. 3. 3. 3. 3. 4, 4, 4, 4, 4. 4.

AMP WHOOORUPWNODDUIRDALW WH ODUIRDUWNHOMDNIDUPNHOOI NAMIE WROOMONOPRWNWODODNDHE

1 1 1 1 1 1 1 1 1 1 1 1 1 ul 1 1 1 “Al 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

WKH OONRMUMUWN/ HOONATIPNWHOODAUPWHOOO! NOP WN OS

TT TY TS HH eS He oN (OE SS pos gua od boos our b DARARAARARARAAAA/ADRHRRHIN

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane rigkt-angled triangles.

TABLE 8. Difference of Latitude and Departure for 7° (173°, 187°, 353°).

or ox go oo so ON oo

TMD AAARARAARAHAARWMWRAAWOINN TANNIN ITATATATN WODMDDWMMAMDMDDBDMDDDMI DDNMDMODOOOD OODDODOS

SULSt Or or or we eB CO CO NrOoDOoD

Pa A SESTOY SUSUR

CLOT OT OT OV OUT ot COON CVOrot SB BwWNrODOAN

CUO OUST OL OT OU Ot DD AAD OWN PONrOoOON

CLOT or or ot IWID DD rPoOoOooOn

on 4 &

HON LOT TO RMwOMOO IIA PONE Osco

SSSSSSSSSSSSSSSSRAAL Cr Oro <> 00 00 00 SooaN

In Plane Sailing.

For converting Dep. into Diff. Long.and Diff. Long.into Dep. } In Middle Latitude Sailing. i celond #

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing. a yea) z

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 32]

TABLE 3.

Difference of Latitude and Departure for 8° (172°, 188°, 352°).

In Plane Sailing.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

Tor converting Dep. into Diff. Long. and Diff. Long. into Dep. # In Mercator Sailing.

4 For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles.

Dist. | Lat. Lat. Dep Lat. Dist. | Lat. Dep. 1 ie 60.4] 8. 119.8 | 16.8 ¢ 181 | 179.2 33.5 2 2. 61.4] 8. 120.8 82 | 180.2 33.7 3 3. 62.4] 8. 121.8 83 | 181.2 33. 8 4 4. 63.4 | 8. 122.8 84 | 182.2 34.0 5 5. 64.4] 9. 123.8 85 | 183.2 34.1 6 5. 65.4 | 9. 124.8 86 | 184. 2 34. 2 7 6. 66.3 | 9. 125.8 87 | 185.2 34.4 8 7. 67.3 | 9. 126.8 88 | 186.2 34.5 9 8. 68.3 | 9. 127.7 89 | 187.2 34.7

16 Gh GORST Eso: 128. 7 90 | 188.2 34.8 11 LO: 70.3 | 9. 129. 7 191 | 189.1 34.9 12} 11. 71.3 | 10. 130. 7 92 | 190.1 39.1 13} 12. 72.3 | 10. 131.7 Oe} |} aisle a 35. 2 14} 18. 73.3 | 10. 132.7 94 | 192.1 35.3 15; 14. 74.3 | 10. 133. 7 95 | 193.1 39.9 16} 165. 75.3 | 10. 134.7 96 | 194.1 35.6 17} 16. 76.3 | 10. 135. 7 97 | 195.1 35. 8 TRS |] Le 77.2 | 10. 136.7 98 | 196.1 35.9 190) 18: 78.2 | 11. 137.7 99 | 197.1 36. 0 PAD |) a8) ee || tal, 138. 6 200 | 198.1 36. 2 21 | 20. 80.2 | 11. 139. 6 201 | 199.0 36.3 22)| 21. 81.2 | 11. 140.6 02 | 200.0 36.5 23 | 22. 82.2 | 11. 141.6 03 | 201.0 36.6 24} 23. 83.2 | 11. 142.6 04 | 202.0 36. 7 25 | 24. 84.2 | 11. 143. 6 05 | 203.0 36.9 26 | 26. 85.2 | 12. 144.6 06 | 204.0 37.0 27) 26. 86.2 | 12. 145. 6 07 | 205.0 37.2 28 | 27. 87.1 | 12. 146. 6 08 | 206.0 37.3 29 | 28. 88.1 | 12. 147.5 09 | 207.0 37.4 5} 29) 89.1 | 12. 148.5 10 | 208.0 37.6 ~ 31) 30. 90:1 |) 12: 149.5 ; 211 | 208.9 37.7 32 | 31. 91.1 | 12. 150.5 c 12 | 209.9 37.9 33 | 32. 92.1 | 12. 151.5 0 13 | 210.9 38.0 34 | 33. 93.1 | 13. 152.5 - 14 | 211.9 38.1 35 | 34. 94.1 | 13. 153.5 ‘ 15 | 212.9 38. 3 36 | 36. 95.1 | 13. 154.5 5 16 | 213.9 38. 4 37 | 36. 96.1 | 18. 155.5 : 17 | 214.9 38.6 38 | 37. 97.0 | 13. 156.5 | 22.09 18 | 215.9 38.7 39 | 38. 98.0 | 13. 157.5 | 22.1 | 19 | 216.9 38.8 40 | 39. 99.0 | 13. 158.4 | 22.3 20 | 217.9 39.0 41 | 40. 100.0 | 14. 159.4 | 22.4 | 221 | 218.8 39.1 42) 41. 101.0 | 14. 160.4 | 22.5 | 22 | 219.8 39. 2 43 | 42. 102.0 | 14. 161.4 | 22.7 | 23 | 220.8 39. 4 44) 43. 103.0 | 14. 162.4 | 22.8] 24 | 221.8 39.5 45 | 44. 104.0 | 14. 163.4 | 23.0} 25 | 222.8 39. 7 46 | 45. 105.0 | 14. 164.4 | 23.1 } 26 | 223.8 39. 8 47 | 46. 106.0 | 14. 165.4 | 23.2 | 27 | 224.8 39.9 48 | 47. 106.9 | 15. 166.4 | 23.4} 28 | 225.8 40.1 49 | 48. 107.9 | 15. 167.4 } 23.5 | 29 | 226.8 40. 2 50 | 49. 108.9 | 15. 168.3 | 23.7} 30 | 227.8 40. 4 51 | 50. 109.9 | 15. 169.3 | 23.8 7 231 | 228.8 40.5 52 | Ol. 110.9 | 15. 170.3 | 23.9 | 32 | 229.7 40.6 53} 52. 111.9 | 15. 171.3 | 24.1 | 33 | 230.7 40.8 54] 53. 112.9 | 15. 172.3 | 24.27 34 | 231.7 40.9 55] 54. 113.9 | 16. 173.3 | 24.4 | 35 | 232.7 41.1 56 | 55. 114.9 | 16. 174.3 | 24.5 # 36 | 233.7 41.2 57 | 56. 115.9 | 16. 175.3 | 24.6 | 37 | 234.7 41.3 58 | 57. 116.9 | 16. 176.3 | 24.8} 38 | 235.7 41.5 59 | 58. 117.8 | 16. 177.3 | 24.9 | 39 | 236.7 41.6 60 | 59. 118.8 | 16. 178.2 | 25.1 | 40 | 237.7 41.8 Dist Dep. Dep. Lat. Dep. Lat. } Dist.| Dep. Lat.

TABLE 3. Difference of Latitude and Departure for 8° (172°, 188°, 352°).

Slee Sa S2 | SSUS NCOs SUCUOUOUT

2. 302.0 | 42. 303.0 | 42. 304.0 | 42 305.0 | 42. 306.0 | 43. 307.0 | 43. 308. 0 | 43. 309.0 | 48. 310.0 | 43. 310.9 | 43. 311.9 | 43 312.9 | 44. 313.9 | 44. 314.9 | 44. 315.9 | 44. 316.9 | 44. 317.9 | 44

44.

Pp pi SHS NN ESM

saa) NNN a SI NINN NNN

DWH OCWONOPNKE CON URW OMDN Hw

CEI NSS

a @ iN

OI NA PWN OONOHDH

0| G0 G0 0 G0 GO GOT ~I AT ~I PSISSS SSOP GOO) 0 0 0 WC

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

} Forconverting Dep. into Dif’. Long. and Diff. Long.into Dep. In Mereator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

66806°—38——3

Page 34] TABLE 3. Difference of Latitude and Departure for 9° (171°, 189°, 351°).

$9 09 69 Boal anwwoor

i 22 O22 99 49 49 G9 9090/00 G0 G0

DH Cor CO GO Odo bo

et LS SOS Cogs) ONMDPWH CHOMUWNODOATC

TERR 09 00/00/60 /00)/ C0) Co)RO)ROIRO NO RORO)E=SES

SO GOB SUE COBO 1 SOGOU SS SUR OO BO F2) 60160 S12) STU C0) RO)F1 5} O00 ST'SD CUS He CKO Ft

HE) HH HE He HE HS OL OT OT OU OU OLOT OUD DD AAA MBBWNINITINNTNNTN DODDDDDMDDMDODIODDODDDOCOS

£8] OO © © © CO © €O 00] 00 00 G0 G0 G0 00 DS 'SO||GOAUS> OUR CO BO SO) GON ODOURS ROO) ROE

CORO aS 09 2 G2 09 G9 Gd] Go GO G2 G9 OO GO Gd Co GH 0] Co Go CO Od G9 CO 09 GO OD 00] CO G9 OO Go G9 G9 GO 09 CO bd) PD bY bo

SUSU STUSTU HRS | rs 910/000) 009/ 09109) 02] RO) RO RO ROUROINO Fai es a OOOO ISO CO EO ONO 16D CO 1C0/G0/00)C

1 1 1 1 1 1 1 1 1 1 2 2 2! 2: 2: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 39 40 4 4 4 44 45 46 4 4 4 5

WINN HYHYNHNNYHYYNIYNYNNNNNNNI NNNNhPt Se eee eo oA Hat aad ae aed Need He Ao AC) TOO} OE COIROIRSROROINOINS DOP WHODNIATWH/ OCONRPENHODMALNWNOM~

NS MI ISS

bo bo bo age be o

BNF ODDPPWHOONOPNWOONDBEWHODHDOIWNODNOPRMEH OMAR WHOMNIOWNOMsT bo ej as

SEICONCO}CO1G GOO} 001 09, 08 | UE eet SU Os) C2) 93103 | O31 >) CUCU OU COUCH

In Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. ma Diff. In Mercator Sailing. ‘ Long.

For multiplication of numbers by sines and by cosines, or Ne NX Cos. |-NXSin-

; iN 7 is Hypote-| Side. Side solution of plane right-angled triangles. ae ‘Adj. Onn!

TABLE 3. [Page 35 Difference of Latitude and Departure for 9° (171°, 189°, 351°). Dist.| Lat. | Dep. | Dist. | Lat. Dep. | Dist. Dep. ! Dist. Dep. 301 | 297.3 | 47.1} 361 | 356.6 65.9 } 481 .6 02 | 298.3 | 47.2 } 62 | 357.5 66.0} 82 .8 03 | 299.3 5 66.2 | 83 a9 04 | 300.3 .5 66.3] 84 5.1 05 | 301.2 .5 66.5] 85 a3 06 | 302.2 .5 66.6 | 86 5.4 07 | 303.2 .5 66.8} 87 5.6 08 | 304. 2 .5 67.0} 88 5.7 09 | 305. 2 .5 67.1] 89 pw) 10 | 306.2 4 67.3) 90 .0 311 | 307.2 4 67.4 | 491 2 12 | 308.2 4 67.6} 92 4 13 | 309.1 4 67.7] 93 .5 14 | 310.1 A 67.9 1 94 nd] 15 | 31L.4 4 68.0} 95 .8 16 | 3i2.1 A 68.2} 96 .0 aol os: 4 68.4} 97 val! 18 | 314.1 Bc) 68.5 | 98 oa} 19 | 315.1 .3 68.74 99 .4 - 20 | 316.1 io 68.8 | 500 6 321 | 317.0 3 69.0 7 501 .8 22 | 318.0 5G} 69.1} 02 “9 23 | 319.0 .3 69.3} 03 pal 24 | 320.0 3 69.5 | 04 .2 25 | 321.0 BS) 69.6] 05 4 26 | 322.0 2 69.8 | 06 .5 27 | 323.0 2 69.9 | 07 a 28 | 324.0 .2 70.1} 08 .9 29 | 324.9 v2, 70.2} 09 .0 30 | 325.9 be 70.4 4 10 12 331 | 326.9 .2 70.6 } 511 .3 82 | 327.9 a2, 70.7) 12 .5 33 | 328.9 3 2 70.9} 13 .6 34 | 329.9 wl 71.0} 14 .8 35 | 330.9 pal 71.2} 15 ay) 36 | 331.9 oil 71.3] 16 90.1 37 | 332.9 wl 71.5] 17 90.3 38 | 333.8 1 71.63) 18 90.4 39 | 334.8 pal 71.8} 19 90.6 40 | 335.8 pal 72.0} 20 90.7 341 | 336.8 pal 72.1 | 521 90.9 42 | 337.8 wall 72.3 22 91.0 43 | 338.8 398.0 72.44 23 91.2 44 | 339.8 399.0 72.64 24 91.4 45 | 340.8 400.0 72.74 25 91.5 46 | 341.7 401.0 72.9] 26 91.7 AT | 342.7 402.0 73.1] 27 91.8 48 | 343.7 403.0 73.2] 28 92.0 49 | 344.7 404.0 73.4 29 92.1 50 | 345.7 405.0 73.5 9 30 92.3 351 , 346.7 405.9 73.74 531 92.5 52 | 347.7 406.9 73.8 | 32 92.6 53 | 348.7 407.9 74.0] 33 92.8 54 | 349.6 408.9 74.1} 34 92.9 55 | 350.6 409.9 74.3] 35 93.1 56 | 351.6 410.9 74.5} 36 93.2 57 | 352.6 411.9 74.6} 37 93.4 58 | 353.6 412.9 74.8] 38 93.5 59 | 354.6 413.8 74.94 39 93.7 60 | 355.6 414.8 75.1} 40 93.9 Dist. | Dep. Lat. | Dist. Lat

81° (99°, 261°, 279°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into De in Middle Latitude Sailing. CER B:

For converting Dep. into Diff. Long. and Diff. Long.into Dep. aD Diff. In Mercator Sailing. Long. NxCos. | NxSin.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Side

Page 36] TABLE 8. Difference of Latitude and Departure for 10° (170°, 190°, 350°).

Lat.

= xq we is)

D> D> D> D By Rete bo bo bo bo bo bo

SOOIRD TB WH $290 NO? Guy So CORO DODOODODODSOO

Fe he pt ft fet et TS OUP COD S NMODODMDMOOM

tt POO} C9) RO ROBINS RO}RO Fat ae a IC OUR bo © GO AT O09) bo

tit on

roy

Lain

1 02 00 00 Co sa STATA ATT TATA MDAMAMD i

PUSRLSVAS SP GISHAR AVP SS SSGSARESCASS i} SSESSRRRGGCEER ERS ESSE SSSESEEE

HANMIINITNNTNDMADMODMDDMDODODDOOS DCOODOCOCOOCORF ONIOPNWOMNOW HOM MD OWH OOD) Pe ONTO bo © 0

0p 00 6D CO >

0. 0. 0. 0. 0. 1. 1. il, 1. 1. 15 2. 2. 2. 2. 2. 3. 3. 3. 3. 3. 3. 4, 4, 4, 4, 4, 4, 5. 5. 5. 5. 5. 5.

bobo bb bob hb pl bpbhbpp pb bo bo bo b SSSSSS SSSA SARAR ROU | RS RS SS SSN SUSUR RRRRE

HS] 22 © 09 G9 09 G9 G9 G9 O9 C1) eee ee a IESE EIS EG <O| OO OOOO OO CO OO) SNC COSCO CUES CON ence TH HAMMAR DA ADM

bok Geiger

WHOM PI OO C102 bo O ON O09

bo bo] bo th bo bo bob Nd Ohh wb bby

DOH OMAR ODO! IMWNWODAMWH| ODARWEOTAB|IWOONIMWNIOHDA MWHOWDARWH OIA POMOC LO SSSSSS OOOO OHH HHH OANA IAN DH DDH DDH AH STE DIMNWHOMD ADE WHODARNHOTO RN ODNTIWHOD AUNWHODARNH

SPO OOO OO MH) HH MH H GO MIMI NI NT NY D> D> D> DDH

02 09 O29 OS C9 02 GO CD KO bS] DO LO BS EO hb to FE 2 eo Se 8 SI S89

Ree

80° (100°, 260°, 280°).

Plane Sailing.

Forconyerting Dep. into Dif’. Long. and Diff. Long. into Dep. Diff. f Tn Middle Latitude Sailing. Long.

Yor converting Dep. into Diff. Long. and Diff. Long. into Dep. . Diff In Mercator Sailing. Long.

splicati ; : __N._ | _NxCos. (NxSin. | For multiplication of numbers by sines and by cosines, or BEAN solution of plane right-angled triangles. ‘ Hypote-| Side Side cian nuse. Adj. | Opp.

TABLE 3. Difference of Latitude and Departure for 10° (170°, 190°, 350°).

lo) cS) on

RR BERRI PN NNNN WWW WC COP PE PP BO OLOTOLOTOIOIO DOO

PRETEEN NN NNN WWWWWWWPRPR ARAB ER ANAM ARABRROONAA

PEE EE ENNIO NNN NWWWWWIHO AA AARRR CONT TARRRAAAD

CVSS or a9 Revo mes)

O11 oO oO Rie or

[Sy ies) to o

on o ie) Oo

APN OTNRENSCONMIWNOOADMNWHOMDMDALWHONABRNODONTWNOONNWEOMOMRWRHONMAARNOON NOCONTIWHOWOS AwWHoOMahNHS NOUR DS ON CW NOODOWHOOMDPI NR ONTIRNOON|CHONOOAMTwWr S&S

Rey 5» oo

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercater Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. Difference of Latitude and Departure for 11° (169°, 191°, 349°).

ba inti mmino e ONAWRE OMDB

SEER SE SISIES GOLGI EOS

Fk fk fat fe et pat fmt pet pe ps SO DN OUP Oo bo tS) © oo sI1¢ OD ~INIATAT~T 7.00 0 CO Ww occ bo bobo pt OOPWH OMI

IPSec cet SCIELO]

9 GO GO BERFRRESSSSESSSSSES & 0 S15 BSSSSISSSSSRRRGREES

PABPNWOWOAMNW EH OMNMWHOTMAPLN OCORPNWODANWHONTWHONIRINOCORDPNWOOAA WHONMWHONH

ho a 2 Ne)

4, 4, 4, D. De D. De De 6. 6. 6. 6. 6. 6. 7. 7. 7. 7. 7. 8. 8. 8. 8. 8. 9. 9. 9. 9. 9. 0. 0. 0. 0. 0. 0. 1. il,

bo Sy)

Ne)

Boots Doh tht

PP PD PIETY OUSLIUR HR HB HB 9 98) Go Go COMO N NONE EYE SOOO SOS OS OO OC

SO o| ONS SURES SRE _

24. 2 2: 2 2 2 2 2 2 2 2 2 2 2 2 2' 2) 2 2 2 2: 2: 2 2 2 2! 2 2: 2 2! 3 3 3 3 3 3 3 3 31 31. 31. 32. 32. 32. 32. 32. 33. 33. 33. 33. 33. 34. 34. 34.

PRE ES SSS SSO SO) SO SO)5O 50 100 G0) 00/00) 93) I NAG O> 2/9291 UU UCU mp EWE OMTMWOHOUNMWONWODARNOAARWHOUTWH SO TNWNIODAERNO

SANE RE CRG BCE eu PP PP

Ree eee

BNI > Ot wee OODOOOCOCOCOM HHH bo bo bo bo bd ty] 9 09 69 00 CO HP BB] HR OLOT OL OL OU DMD D

} In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 38. Difference of Latitude and Departure for 11° (169°, 191°, 349°).

CIBWHONNIWNWOD DPWrHAGDPhH

In Plane Sailing. | Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. io Long.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

NxXCos. | NXSin. Side Side Adj. Opp.

For multiplication of numbers by sines and by cosines, or ar 2 solution of plane right-angled triangles. pote

TABLE 3. Difference of Latitude and Departure for 12° (168°, 192°, 348°).

i=} = B

COONIMUHP whe $0 ID TU Go bo BOE

NNW DDmDDMDDOODDOO

PEA COI COPIES SES ESO OSI O OM OUOUCU CL

RINININININ NIN eI NN)

In Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Hes if Z z Long.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Mercator Sailing. , Long.

For multiplication of numbers by sines and by cosines, or N: NxXCos. | NXSin.

tion of plane right-angied triangles. Hypote-| Side Side solution of p ig Ble ig. Lypot ere Oot.

TABLE 3. Difference of Latitude and Departure for 12° (168°, 192°, 348°).

Dep. } Dist.

62.6 | 361 62.8

o> oe So

AAMAARDABAINTINWMOMMDDOSD|SCDODDSOOOHH ES

TWH ONTONIWEH SIUM WODORMELNWODIRAPNOWMOWE ON TWRONTIWH OA FNODMPNOWDALHEONTOR ONT

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middie Latitude Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 42]

Dist.

CONIDIA whe

Lat.

TABLE 3. Difference of Latitude and Departure for 13° (167°, 193°, 347°).

Dep.

HES CO COICOICOICS ROTOR RO rh a a

NNIND DD DODOCOSCOHHHEHEN NIN NWWHOW RRA DS D&D D&D G0 G0} 60.90. GOST NT AVA OD > G)' 2199 OU SUTTUE Ef

1 1 1 1 1 1 1 1 1 1 2 2 2 2 2: 2 2 2 2 2! 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4

SRO C9) ROSS SO | SO ICO) 2) CURSOS IRS EIS 1150100) 1 > OU HS C9) ROA CO} GOP IO9 SUS G9) ROA CS 11 1C0) 13 OSC) RO FUE

OO OOOOGOOOODMOM SSO NU 2 CHES CO ree 108 CORB BR] BR COTO OO AAAI

DAININTIDMDO MD WOOO OD QOOCHHEHEENNW ND WWWWWER EEK CIOTIAARANINTNINIDDDDWDODDOS

BPD OIN TWH DD IPNONCOWODRAPHONCHNOORAWHONMENIOOUWHODFPNCIN

NNN SEER SSS SOO) OSS HH HRANN ANS SARAH SR RY

PE ONMNODWRWHONPNODTIWHOMPNONOUWHORDPNON HWODRDERONTMNOORDWHOATE Bg AOAAAGAAT ER S PP EE SLEEP EPP EEE EEE Rate sotesicoice —

Re NNN ERE ERS SSS LO 8 0} 0 0 © DW MIN NN NY] D2 DP NOVA P| PR IR OO Go Go GO DODO NPN Ett OSS

| In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep.

} In Middle Latitude Sailing.

| For converting Dep. into Diff. Long. and Diff. Long. into Dep.

In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or Ne solution of plane right-angled triangles. Hypote-

TABLE 3. Difference of Latitude and Departure for 13° (167°, 193°, 347°).

Is! =

bo ee) Goo oo

wWwnmnmnwnbwnwry ocoonpuouoescs COCSDSOSOSCSCHHHHEN NNN WoW AR EE MO ®AOIIIIA WDDWDODOOOOCOSO HH HHENNNNE

cc 09 Co G9 GO CO eooocoooeo SOONIDDOO

9 oo co 09 0D Pepe “IS Ou co

we to =)

323, 324 325, 326 327.

NMDMMMDOODO OCOOCOMR EE bob] hp

a for) &s “I

Plane Sailing. } Forconverting Dep.into Diff. Long.and Diff. Long.into De In Middie Latitude Seine: os ye ee

i Forconverting Dep.into Dif. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 44]

TABLE 3. Difference of Latitude and Departure for 14° (166°, 194°, 346°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles.

Dist Lat. Dep. Dep. 1 1-0 eA 43.8 | 241 58.3 2 1.9 2, 44.0 58.5 3 2.9 oil 44.3 58.8 4 3.9 bil 44.5 59.0 5 4.9 bal 44. 59.3 6 5.8 .0 45. 59.5 ul 6.8 .0 45. 59 8 8 7.8 .0 45, 60.0 9 8.7 .0 45. 60. 2

10 9.7 9 46. 60.5 11 10.7 a9 46. 60. 7 12 11.6 b®) 46. 61.0 13 12.6 .8 46. 61.2 14 13.6 .8 46. 61.4 15] 14.6 .8 47. 61.7 16 15.5 ba 47. 61.9 17} 16.5 bU 47. 62.2 18 17.5 wolh 47. 62.4 19} 18.4 ba 48. 62.7 20 19.4 6 48. 62.9 21 20. 4 .6 48. 63.1 22 2153 .6 48. 63. 4 PB} | P2433 5 49. 63.6 24 23.3 .5 49. 63.9 25 24.3 .5 49. 64.1 26 25.2 4 49. 64.4 27 26.2 4 50. 64.6 28 27.2 4 50. 64. 8 29) 28.1 4 50. 65.1 30 PAIL .3 50. 65. 3 31 30.1 3 51. 65. 6 32) 31.0 EG} 51. 65.8 33 32.0 2 51. 66.0 34 33.0 2 51. 66. 3 35 34. 0 2, 52. 66.5 36 34.9 bal 52. 66. 8 37 35. 9 eal 52. 67.0 38 36.9 nell 52. 67.3 39 37.8 bal 53. 67.5 40 38.8 .0 53. 67.7 4l 39.8 .0 7 53. 68. 0 42 40.8 .0 L 53. 68. 2 43 41.7 .9 b 53. 68. 5 44 42.7 BY) L 54. 68. 7 45 43.7 9 L 54, 68. 9 46 44.6 .9 L 54, 69. 2 47 | 45.6 8 b 54. 69. 4 48 46.6 8 I 55. 69. 7 49 47.5 . 8 40. 55. 69. 9 50 48.5 7 41. 55. 70. 2 51 49.5 7 41. 55. 70. 4 52 | 50.5 bo 41. 56. 70.6 53 51.4 109.6 41. 56. 70.9 54 52.4 110.6 42. 56. Ce i 55 53. 4 111.6 42. 56.9 71.4 56 | 54.3 112.6 42. 57.1 71.6 57 55.3 113.5 42. 57.3 71.9 58 | 56.3 114.5 43. 57.6 (2enl 59 57.2 115.5 43. 57.8 W253: 60 58. 2 116. 4 43. 58.1 72.6 Dist. Dep. Lat. } Dist Dep Lat. Lat.

TABLE 3. [Page 45 Difference of Latitude and Departure for 14° (166°, 194°, 346°).

Dist. | Lat. Dep. | Dist. 301 | 292.1 | 72.8 } 361 02 | 293.0 | 73.1 | 62 03 | 294.0 | 73.3 | 63 04 | 295.0 | 74.5 | 64 al 05 | 295.9 | 73.8 65 A 06 | 296.9 | 74.0] 66 .6 07 | 297.9 | 74.3 | 67 .8 08 | 298.9 | 74.5] 68 bal 09 | 299.8 | 74.8] 69 bo 10 | 300.8 | 75.0 | 70 A) } 311 | 301.8 | 75.2 | 371 .8 12 | 302.7 | 75.5 | 72 .0 13 | 303. 7,| 75.7 | 73 3 14 | 304.6 | 76.0 | 74 .O 15 | 305.6 | 76.2 | 75 .8 16 | 306.6 | 76.4} 76 . 0 17 | 307.6 | 76.7 } 77 2, 18 | 308.6 | 76.9 | 78 A) 19 | 309.5 | 77.2 79 bu 20 | 310.5 | 77.4] 80 40 321 | 311.5 | 77.7 | 381 m2 22 | 312.4 | 77.9] 82 .4 23 | 313.4 | 78.1] 83 od 24 | 314.4 | 78.4] 84 oY) 25 | 315.3 | 78.6 | 85 12, 26 | 316.3 | 78.9 | 86 4 27 | 317.3 | 79.1] 87 Bll 28 | 318.3 | 79.4} 88 59 29 | 319.2 | 79.6} 89 1 30 | 320.2 | 79.8 90 4 331 | 321.2 | 80.1 } 391 .6 32 | 322.1 | 80.3 | 92 » &) 33 | 323.1 | 80.6 | 93 pill 34 | 324.1 | 80.8] 94 3 35 | 325.0 | 81.0} 95 6 36 | 326.0 | 81.3 96 .8 37 | 327.0 | 81.5] 97 b dl 38 | 328.0 | 81.87 98 .3 39 | 328.9 | 82.0} 99 6 40 | 329.9 | 82.3 | 400 .8 341 | 339.8 | 82.5 | 401 .0 42 | 331.8 | 82.7 | 02 3 43 | 332.8 | 83.0} 03 5 44 | 333.8 | 83.2 }] 04 .8 45 | 334.8 | 88.5} 05 .0 46 | 335.7 | 83.7 | 06 oe) 47 | 336.7 | 83.9 | 07 a) 48 .7 | 84.2 | 08 off .6 : .0 .6 be .6 5 aD) » I .O8 » mi) .2 .5 4 b 9.7 8) Le 4 .6

“In Plane Sailing.

For converting Dep.into Diff. Long.and Diff. Long.into Dep. In Middle Latitude Sailing. sya a

Forconyerting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 46] TABLE 3. Difference of Latitude and Departure for 15° (165°, 195°, 345°).

ease D> AINT OO

Neceenmaes NDS

NI OUR CODE OO 0 09 02 CO EH HR OLOLOT SO

SOSH NNW WOW WP RP ROLOIARAAMIINDMDDODOOS

SPN SS) AD SUB GRO S| c0 OI SUR G9 bo EES BAIN] NINE DHSS Ey

BO BO RO DO RO DO bY DD NO bo be et et et at be ee

SIGS

6 ) CO CO OD GO 00] CO CO GO

9. 0. 1. 2, 3. 4,

DSO ODO 1 HO] STMT I DD. TU] Or HB ys ph 99 9 G9 G9 bw

SL PAHS onl orn

NAS S> bo cont

AAD! DANNNDWWOMNO DO COSOORMHE hobo to ADWRrDRHWOCNwDMonuwinwnoncan

2' 3 3 3 3 3: 35, 3 3 3 3 40, 41 42 43 44 45

COO OLOT OT S| BR

OE POLO OS BOSSES REIS RE REED bo DO Oo] 09 CO RB IR OLOLOTO | DAINIATHO COM OOO

on ARAARDARAAAT AAAMAAaAnan PER SSSSOCSODHHONN

o BS Ho

oO a

In Plane Sailing.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep.into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. Nx Cos. solution of plane right-angled triangles. Uypote-| Side Side nuse. Adj. Opp.

TABLE 3. [Page 47 Difference of Latitude and Departure for 15° (165°, 195°, 345°). Dist. | Lat. Dep. } Dist. Lat Dep A481 | 464.6 | 124.5] 541 | 522.6 | 140.0 82 | 465.6 | 124.8) 42 | 523.5 | 140.3 83 | 466.5 | 125.0] 43 | 524.5 | 140.5 84 | 467.5 |125.3] 44 | 525.5 | 140.8 85 | 468.5 |125.57 45 | 526.4 | 141.1 86 | 469.4 | 125.8] 46 | 527.4 | 141.3 87 | 470.4 | 126.0} 47 | 528.4 | 141.6 88 | 471.4 |126.3} 48 | 529.3 | 141.8 89 | 472.3 {126.6} 49 | 530.3 | 142.1 90 | 473.3 | 126.8] 50 | 531.3 | 142.4 491 | 474.3 | 127.1} 551 | 532.2 | 142.6 92 | 475.2 |127.3] 52 | 533.2 | 142.9 93 | 476.2 |127.6] 53 | 534.2 | 143.1 94 | 477.2 |127.9] 54 | 535.1 | 143.4 95 | 478.1 |128.1} 55 | 536.1 | 143.6 96 | 479.1 | 128.4] 56 | 537.1 | 143.9 97 | 480.1 |128.6] 57 | 538.0 | 144.2 98 | 481.0 |128.9] 58 | 539.0 | 144.4 99 | 482.0 |129.2] 59 | 540.0 | 144.7 500 | 483.0 | 129.4} 60 | 540.9 | 144.9 501 | 483.9 | 129.7} 561 | 541.9 | 145.2 02 | 484.9 | 129.9] 62 | 542.9 | 145.5 03 | 485.9 | 130.2] 63 | 543.8 | 145.7 04 | 486.8 | 130.4] 64 | 544.8 | 146.0 05 | 487.8 | 130.7] 65 | 545.7 | 146.2 06 | 488.8 |131.0] 66 | 546.7 | 146.5 07 | 489.7 |131.2] 67 | 547.7 | 146.8 08 | 490.7 |131.5] 68 | 548.6 | 147.0 09 | 491.7 }131.77 69 | 549.6 | 147.3 10 | 492.6 |132.0} 70 | 550.6 | 147.5 O11 | 493.6 | 1382.3} 571 | 551.5 | 147.8 12 | 494.6 |132.5] 72 | 552.5 | 148.0 13 | 495.5 | 132.8} 73 | 553.5 | 148.3 14 | 496.5 | 133.0] 74 | 554.4 | 148.6 15 | 497.5 |133.3} 75 | 555.4 | 148.8 16 | 498.4 |133.6] 76 | 556.4 | 149.1 17 | 499.4 |133.8] 77 | 557.3 | 149.3 18 | 500.3 | 134.1] 78 | 558.3 | 149.6 19 | 501.3 |134.3) 79 | 559.3 | 149.8 20 | 502.3 | 134.6] 80 | 560.2 | 150.1 521 | 503.2 | 134.8% 581 | 561.2 | 150.4 22 | 504.2 |185.1] 82 | 562.2 | 150.6 23 | 505.2 |135.4] 83 | 563.1 | 150.9 24 | 506.1 |135.6] 84 | 564.1 | 151.2 25 | 507.1 |135.9] 85 | 565.1 | 151.4 26 | 508.1 |136.1] 86 | 566.0 | 151.6 27 | 509.0 | 136.4] 87 | 567.0 | 151.9 28 | 510.0 | 136.7] 88 | 568.0 | 152.2 29 | 511.0 | 136.9] 89 | 568.9 | 15224 80 | 511.9 |187.2— 90 | 569.9 ) 152.7 531 | 512.9 | 187.4} 591 | 570.9 | 153.0 32 | 513.9 |137.7§ 92 | 571.8 | 153.2 33 | 514.8 |138.01 93 | 572.8 | 153.5 34 | 515.8 | 188.2] 94 | 573.8 | 153.7 35 | 516.8 | 138.5] 95 | 574.7 | 154.0 36 | 517.7 |138.7] 96 | 575.7 | 154.3 37 | 518.7 | 139.0} 97 | 576.7 | 154.5 38 | 519.7 | 139.2] 98 | 577.6 | 154.8 39 | 520.6 | 139.5] 99 | 578.6 | 155.0 40 | 521.6 | 139.84 600 | 579.6 | 155.3 Dist. | Dep. Lat. Dist. Dep Lat.

In Plane Sailing.

~ For converting Dep. into Diff. Long.and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Dif. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles.

TABLE 3. Difference of Latitude and Departure for 16° (164°, 196°, 344°).

REM OO

awww CRIERIe ern Bec eoieS

SO BAe GI GEES EDC DION I EE fh IN)

TNOMEH) OBDWODUN OTB HOAWOTPWOD WH DOUINOMPH OL DAWODUNOUPRHIORMWONUTNMORDP

bo bo bo bo by bY bY bY bo bY PP HR HE HR OO 00 G9 BO BO BO] BO

RPOAINONEH OD WOWDTUNONTEP HD RWONOINODPH DOUWOTIRNOAWHDUNUNOVNERH DOA WOWMNTNODRH OH

oo SISISISII a)

bo bo Trt SSIS

bo bo

DOHHOMO OM) 1-1-1

nS io 2)

PEER SSS COCO MMM HANIA AAAAA Sy

MDW WDODOOO SO} Fr DD 09 C9 COP HB CLOT DARDAINIDDI DODOCCOHHE EN NWWWRROAMAA OAUTH HMDODO NPE ODWOMUN OTT BRHOMWOAIC tO

He ee)

rs We) oo Damm NNwNwre

SP PUTTUR IR PR) G9 99 99 G9 BONS BO tt a Ft SDS DO SO 0 60 60 00) 00 GO MINI NID DDD. SUT. TUE i ih G9 C9 G9 OO} POPOL EEE OOO NAWOTWPNWORWH DUNST HORDWIONTUNORDPHDUMWOTKNWORWHA CMOTWRHORMDWO OUNOTEH OOo

BEB BE eee eee ee ps

oO ae “I

rl & ot

In Plane Sailing. For converting Dep. into Diff. Long. and Dijf. Long. into Dep. | es

In Middle Latitude Sailing. ong.

For Soma vertine 2 epaitita Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

) TABLE 3. Difference of Latitude and Departure for 16° (164°, 196°, 344°).

In Plane Sailing.

| For converting Dep. into Diff. Long.and Diff. Long. into De In Middle Latitude Sailing. ons ue Pe

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

66806°—38——4.

Page 50] TABLE 3. Difference of Latitude and Departure for 17° (163°, 197°, 343°).

TNO eas nC Or | ORES CNS ho OOS O32) Ce CIN ee

AAMAA ANNWBDMDOOGOOOHPRPNNWNWWHE RO COIRAINIW OOO COO wo

CATS CAIRO NOLO) aE

WOOO OOO OOOOOMHO CONOR IRON reticle STINT ST ST ST ST SID DAD AARARAAARDNMMN

MPN ODWOWHH OTD ORR HE DWUINDORWOUNPH/WORWONBH DUN! ORWOMDWUD ORD ee eo Oe MI RIKES

0. 0. 0. 1. if 1. 2. 2. 2. 2. 3. 3. 3. 4, 4, 4. 5. 5. 5. 5. 6. 6. 6. 7. th 7. &. 8. 8. 8. 9. 9. 9. 9. 10. 10. 10. 11. 11. 11. 12. 12. 12. 12. 13. 13. 13.

PSSSSDS SSS SNANASARAAK A: TRH OCIN OMP RE DWOINODWOTRH ODWOnr

SORES ESCs 2) UCUC Ls

STS, TS TS) ORWO,

PSS OO WC

73° (107°, 253°, 287°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Tu Middle Latitude Sailing.

For converting ROL Long. and Diff. Long. into Dep. In Mercator Salling.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. Difference of Latitude and Departure for 17° (163°, 197°, 343°).

In Plane Sailing.

For converting Dep. into Diff. Long.and Diff. Long.into Dep. In Middle Latitude Som. ue

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 52] TABLE 3. Difference of Latitude and Departure for 18° (162°, 198°, 342°).

Lat.

58. 0 59.0 59.9

DONWWW PRO IAANIMDMDODSO

Peat fot eat bed pet pt et TTD SUR 99 BO tS) 60 G0 NI > OT 9 bo Pt

0] 00 00 G0 G0 GO G0 08 00 00 Go| 00 OO ~I~IA~IAIAIAIIAI BE oR PPS RO BOCA CIEE RIGO EO COCO CSAS

Corea anton ps [S02 oor son con cotta ea MN OBWON ROWE CO OItD OO O90

OMOOOOMOMOMODO DMOMMOOOrsI~I1=-1-)] SVP SSHAAAKSSASSISNSAPANA SSS:

OOO BO} 0 PP PONE oO Go OHO bo bo bo by] toby LO LON bobby

PPP LPLOO PPB NNN D2 PH GG Pee 09 69 08 KOLO LOE

ob SO © go + co

OOOOH HP NN WW PRRONMAANIDDOODOOH AH

0. 0. 0. 1. 1. 1. 2. 2. 2. 3. 3. 3. 4, 4, 4. 4, 5. 5. 5. 6. 6. 6. We 7. We “8. 8. 8. 9. a5 9. oF 0. 0. 0. 1. 1. alls 2. 2. 2. 3. 3. 3. 3. 4, 4, 4, 5. 5. 5. 6. 6. 6. 7. 7. Uo le 8. 8.

1 1 1 1 1 1 1 1 1 1 1 i 1 1 1 1 1 1 1 1 1 1 1 1 1 i 1 1

| In Plane Sailing.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. | In Middle Latitude Sailing.

For converting Depa Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. [Page 53 Difference of Latitude and Departure for 18° (162°, 198°, 342°).

Dep. } Dist.

130.1] 481 130. 4

8 -1 4 bil 0 3 6 9 2 5 8 ~2 -5 -8 1 74 etl .0 3 -6 9 -2 6 bY) 22 a)

Tn Plane Sailing.

! Forconyerting Dep.into Diff. Long.and Diff. Long.into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing. uF

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 54] TABLE 3. Difference of Latitude and Departure for 19° (161°, 199°, 341°).

COOMA TP bo CON OCUIE ONS HAND DIAIH WO SII SS WORAWORWO~T

Pet fet et et et pe pp POADP HUB SMES PH NITE yd G9 99 STD OH OUD OH MD OD

SoS SEP EDO AGNES SE OSE): TW OUNWOAN DO) MWORWOoO

KSIIIGS SSR ALESIS SSS E CTPA RHOR| FE OOH Oc”

Ndybwbwwprd — PSNSKESSLSS

FPS SRSSRARRSEASSS! > & foe)

we Co CO ooo 6

FSSSSSSSISSaR SI

55. 7 56. 0 56.3 56.6 57.0 57.3 57.6 58. 0 58.3 58.6

4 3 3 2 2 1 il 0 0 9 9 8 7 7 6 6 5 5 4 4 3 3 2 1 1 0 0 9 9 8 8 7 a 6 5 5 4 4 3 3 2 2 1 1 0 9 9 8

ee ee SO DD DN NN? | PS? SUS OUR BB G9 C0) G9 BO DO DO Et rt rt SS S/O 0 HO COON MINT

NOANOAWOAWORWONWONWONPONTREH TRE] OO REO Ole 00 Ob 0

AOC SB Pp Pp

ao On eo PNT HE 00 HR FE 00 OT! OO CTO GO OIbO

02 02 G2 G9 G9 G9 G9 G9 G9 G9] OD G9 O9 OD OD OD SOIC ICO CONES FST 2) 92503 SUCK CI ESTs be Cho) 401009

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting pr aea Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. NxCos. | NXSin.

t 8 Hypote-| Side Side solution of plane right-angled triangles ee ‘Adj. Opp.

TABLE 8. Difference of Latitude and Departure for 19° (161°, 199°, 341°). Lat.

454. 8 450. 7 456. 7 457. 6 458. 6 459. 5 460. 5 461.4 462. 4 463. 3 464, 2 465. 2 466. 1 467.1 468. 0 469. 0 469. 9 470. 9 471.8 472. 8 473.7 474.7 475. 6 476.5 477.5 478, 4 479. 4 480.3 481.3 482. 2

= ai lor) oO

483. 2 484.1 485. 1 486. 0 486. 9 487.9 488. 8 489.7 490. 7 491. 6 492. 6 493. 6 494.5 495. 5 496. 4 497.3 498.3 499. 2 500. 2 501. 1

502. 1 503. 0 504. 0 504. 9 505. 9 506. 8 507. 7 508. 7 509. 6 510. 6

WOTN OD ANOANOAWOAWORBWONWOVA ONS HE WARHORH OCH DOONAN OUINORDNOADD

71° (109°, 251°, 289°).

In Plane Sailing. Dist.

For converting Dep. into Dif’. Long.and Diff. Long.into Dep. ee In Middle ‘Latitude Sailing. Long.

For conversing? ep.into Dif. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N-

solution of plane right-angled triangles. Hy DOle;

TABLE 38. Difference of Latitude and Departure for 20° (160°, 200°, 340°).

is] e i 5

226.5 227.4 228.3 229.3 230. 2 231.2 232.1 233.0 234. 0 234, 9 235.9 236. 8 237.7 238.7 239.6 240.6 241.5 242, 4 243, 4 244.3 245.3 246. 2 247.1 248.1 249.0 250.0 250. 9 251.8 252.8 253.7 254. 7 255. 6 256.5 257.5 258. 4 259. 4 260.3 261.2 262.2 263.1 264.1 265.0 265.9 266.9 267.8 | 268. 8 269.7 270.6 271.6 272.5 L 273.5 | 99.5 274.4 | 99.9 275.3 | 100.2 276.3 | 100.6 277.2 | 100.9 278.1 | 101.2 279.1 | 101.6 280.0 | 101.9 281.0 | 102.3 281.9 | 102.6

(OIA TP CORO

SA Ob SE SOC IEE

SCAWOMWODNWOMDNW ON DW Orb © Or

00 00 GO CO CO CO GO PICA ID

We}

SAS a Ee SS POR SNS BO SI GIG COIS ICD COED Os

FAS SO ON SUR 09 BO Ft tS $0) G0 NO? SUR C9 BO FS SO) 00 NI D> > SUP 09 BO Et SS <0 GO NID OUP CO LOE ©

BESO O/O GOOD WH HW Oo} oH OH WH Ta AT IAI ATTA AIT IRDA DD PORN PSUR IR Oo BO © SO G0 NG? OW He CO BO ES SO 0000 NI Od] GU 09 BO FS DO GO NI Sa) SB 09 69 BD Ft Sc Co =

PDH DAA TU BR) G9 99 9 WWE AS S| SOOO WW OAINN| DAH AN SUR Ph oo] cocoPO NPE EOS AITNDW DOO GCOHMNWNWWWKL CO ARDNDWMHODOOMF| bob wR BOLO ST 5)] €

DPE TRPONP OI NWONWNOAWOD WORDNOMNOMNNIDOUNOTEH OPH Ol PRE WReE TROT

rt SS _

TEP PS LO SO SO 90 90] GO NNN SP >? GUSTY HR ER FR 9 09 G9 BOBO BO Fal Ft Ft > > £ SO £0 GO GO GO) III > > D> SU OUY

1 1 1 1 1 1 1 1 1 1 1 2 2 2: 2 2: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3) A 4 42 43. 44. 45 4 4 4 4 4 5 5 5 5

TO Ska la SISAbe Sob

Ih ih CLO ITO COO SOMPNN WWE OY ARAIDMDODOHM HN WCWRROARANN DODOOH DN HW) ROOD AWM MODO

oon Po

Dep. 7 ist. » . ist. F . ist. s . ist.| Dep. Lat.

In Plane Sailing.

For converting Dep. into Diff. Long. and Dijf. Long. into Dep. In Middle Latitude Sailing.

For converting eet if. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N.

Hypote-| Side solution of plane right-angled triangles. SDe ‘Adj.

TABLE 3.

Difference of Latitude and Departure for 20° (160°, 200°, 340°).

f In Plane Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Middle Latitude Sailing.

Forconverting Dep.into Dif’. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-anyled triangles.

[Page 57

551. 6 552. 5 553. 5 554. 4

505. 4

596. 3 507. 2 558. 2 559. 1 560. 1 561.0 561. 9 562. 9 563. 8

Dep.

185.0 185. 4 185. 7 186.1 186. 4 186. 7 187.1 187. 4 187. 8 | 188.1

188.5

188. 8 189.1 189.5 189. 8 190. 2 190.5 190. 8 191.2 191.5

191.9

192. 2 192.6 192.9 193. 2 193. 6 193. 9 194. 3 194. 6 195. 0

195.3

195. 6

196.0 | 196.3 | 196. 7

197.0

197.3 197.7 } 198.0 § 198.4 } “198. 7 | 199. 1 § 199. 4 | 199.7

200. 1 | 200. 4 jj 200. 8 | 201. 2 | 201. 4

201. 8 §

202. 1 |

202. 5 | 202. 8 | 203. 2 203.5 203. 8 204. 2 204.5 204. 9 205.2

Lat.

Page 58] TABLE 3. Difference of Latitude and Departure for 21° (159°, 201°, 339°).

Dist Lat. Lat. Dep. 1 0.9 56.9 b 86. 4 2 1.9 57.9 b 86.7 3 2.8 58. 8 44, 87.1 4 3.7 59.7 44, 87.4 5 4.7 60. 7 44. 87.8 6 5.6 61.6 45. 88. 2 7 6.5 62.5 45. 88.5 8 7.5 63.5 45. 88.9 9 8.4 64. 4 46. 89. 2

10 9.3 65. 4 46. 89.6 11} 10.3 66.3 46. 90.0 12} 11.2 67.2 47. 90.3 13 | 12.1 68. 2 47. 90. 7 14{) 13.1 69.1 48. 91.0 15 | 14.0 70. 0 48. 91.4 16} 14.9 71.0 48. 91.7 17) 15.9 71.9 49. 92.1 18} 16.8 72.8 49. 92.5 19 | 17.7 73.8 49. 92.8 20 | 18.7 74.7 50. 93. 2 21) 19.6 75. 6 50. 93.5 22} 20.5 76.6 50. 93.9 23 | 21.5 77.5 51. 94.3 24) 22.4 78. 4 51. 94.6 25 | 23.3 79.4 52. 95. 0 26 | 24.3 80.3 52. 95.3 27 | 25.2 81.2 52. 95.7 28 | 26.1 82.2 53. 96.0 29} 27.1 83.1 53. 96. 4 30 | 28.0 84.0 53. 96.8 31} 28.9 85. 0 54, 97.1 32} 29.9 85.9 54. 97.5 33 | 30.8 86.8 54. 97.8 34] 31.7 87.8 55. 98. 2 385 | 32.7 88.7 55. 98.6 36 | 33.6 89.6 55. 98.9 387 | 34.5 90. 6 56. 99.3 88 | 35.5 91.5 56. 99.6 39 | 36.4 92. 4 57. 100. 0 40 | 37.3 93.4 57. 100.3 41 | 38.3 94.3 57. 100. 7 42} 39.2 95. 2 58. 101.1 43 | 40.1 96. 2 58. 101. 4 44) 41.1 97.1 58. 101.8 45 | 42.0 98.0 59. 102.1 46 | 42.9 99.0 59. 102.5 47 | 43.9 99.9 59. 102.9 48} 44.8 100. 8 60. 103. 2 49 | 45.7 101.8 60. 103. 6 50 | 46.7 102. 7 60. 103. 9 51) 47.6 103. 6 61. 104.3 52] 48.5 104.6 61. 104.6 53} 49.5 105. 5 62. 105. 0 54] 50.4 106. 4 62. 105. 4 55] 51.3 107.4 62. 105. 7 56 | 52.3 108.3 63. 106.1 57 | 53.2 109. 2 63. 106. 4 58 | 54.1 110. 2 63. 106.8 59 | 55.1 111.1 64. 107.2 60 | 56.0 112.0 64. 107.5 Dist. Dep. Dep. Lat.

69° (111°, 249°, 291°).

In Plane Sailing. Dist. Lat.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. Tn Middle Latitude Sailing. a eee i Long. Dep.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Salling. if. a

™

For multiplication of numbers by sines and by cosines, or N. NXCos. . solution of plane right-angled triangles. Hypote- Side Side nuse. Adj. Opp.

281.9 | 108.2 282.9 | 108.6 283.8 | 108.9

284.7 | 109.3].

285.7 | 109.7 286.6 | 110.0 287.5 | 110.4 288.5 |110.7 289.4 | 111.1

290.3 | 111.5

291.3 |111.8 292.2 | 112.2 293.1 | 112.5 294.1 |112.9 295.0 | 113.2 295.9 | 113.6 296.9 | 114.0 297.8 |114.3 298.7

TABLE 3. Difference of Latitude and Departure for 21° (159°, 201°, 339°).

338.0 | 129.7 338.9 | 130.1 339.8 | 130.4 130.8 131.2 131.5

393.0 | 150.9 394.0 | 151.2 394.9 | 151.6 395.8 | 151.9 396.8 | 152.3 397.7 | 152.7 398.6 | 153.0 399.6 | 153.4 400.5 | 153.7 401.4 | 154.1

402.4 | 154.5 403.3 | 154.8 404.2 | 155.2 405.2 | 155.5 406.1 | 155.9 407.0 | 156.2 408.0 | 156.6 408.9 | 157.0 409.8 | 157.3 410.8 | 157.7

299.7 300.6 301.5 302.5 303. 4 304.3 305.3 }117.2 306.2 | 117.5 307.1 |117.9 308.1 | 118.3

309.0 | 118.6 309.9 | 119.0 310.9 | 119.3 311.8 |119.7 312.7 |120.1 313.7 | 120.4 314.6 | 120.8 315.6 {121.1 316.5 | 121.5 317.4 |121.8

318.4 | 122.2

319.3 | 122.6 320.2 {122.9 321.2 | 123.2 322.1 | 123.6 323.0 | 124.0 324.0 | 124.4 324.9 | 124.7 325.8 | 125.1 326.8 | 125.4

367.8 | 141.2 368.8 | 141.6 369.7 | 141.9 370.6 | 142.3 371.6 | 142.6 372.5 | 143.0 373.4 | 143.3

374.4 | 143.7

375.3 | 144.1 376.2 | 144.4 377.1 | 144.8 378.1 | 145.1 379.0 | 145.5 379.9 | 145.9 380.9 | 146.2 381.8 | 146.6 382.8 | 146.9

327.7 |125.8 328.6 | 126.1 329.6 | 126.5

335.2 | 128.7 336.1 | 129.0

383.7 |147.3 384.6 | 147.6 385.6 | 148.0 386.5 | 148.4 387.4 | 148.7 388.4 | 149.1 389.3 | 149.4 390.2 | 149.8 391.2 | 150.2 392.1 | 150.5

Dep.

411.7 | 158.0 412.6 | 158.4 413.6 | 158.8 414.5 | 1659.1 415.4 | 159.5 416.4 | 159.8 417.3 | 160.2 418.2 | 160.5 419.2 | 160.9 420.1 | 161.3

421.0 | 161.6

422.0 | 162.0 422.9 | 162.3 423.8 | 162.7 424.8 |163.1 425.7 | 163.4 426.6 | 163.8 427.6 | 164.1 428.5 | 164.5

430.4 | 165.2 431.3 | 165.6 432.2 | 165.9

436.9 |167.7 437.8 | 168.1 438.8 | 168.4

439.7 [168.8] 531 | 495.7—

440.6 | 169.1 441.6 | 169.5 442.5 | 169.9 443.5 | 170.2 444.4 | 170.6 445.3 | 170.9 446.3 |171.3 447.2 |171.7 448.1 | 172.0

In Plane Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into De In Middle Latitude Soe ie HL Bs

ey ep.into Dif’. Long.and Diff. Long.into Dep. ai

iling. For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Forconvertin; In Mercator

N. NxXCos. Side

Page 80] TABLE 3. Difference of Latitude and Departure for 22° (158°, 202, 338°).

g 2 0 ® uo)

DIRS) SOO? 09 CO O> BO CO HA FH] 7.09 CO > BO GO OTA 7.09

CSCOMDNMMD UP Ober

-| e CVOVor ote Le SES ES aaa

FR po ee IBIS ESI Nok

DUN S21? SUSUR ee] C9 C0 CORO RO I OS AHIAROMNOUNH|WROADNOMHATE

OIA NY SSI AI NIN DNADD COCA ED RAEN Rata eNCN es

Fo ROI ESE ICO Eh COS So BO IED Abb

SLQQQOG/DOGOGOGOGO OO S)89)50'90/ 00/00} TST 919 SU USCS SH OS NO OES ie oes

NNTDOOCOHMINNWROTIAIDWO OOOMNWWWH OD

SCAWOUMH AD ROAWOMNARS

be oo Ss con

)

DNNNNNDHRH HH HEHEHE HHH Eee eH eee

SHE SSSSISARSS RK SSANAARESSA SO OIASRWWNHS|woIH AP wr S

AIDDMDOOHK EH hw PRURMNINTDODODD OLN NWEOIANN DOOCOHMN WW HO ODIO DOOR FD] WW HH OLD DIM OO

LO SS IED SA

1 1 1 1 1 1 1 1 1 1 1 2 2 2: 2 2: 2 2 2 2 2 2! 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 44 4 4 4 4 4 5 5 5 5! 5: 54. 55.

BORON A (SID SD 601/00) GOGO SST O31 3) 93] TU iH C2 0919) RIES) NO Ee | [bie Ses Seacoast sce Se erant TAH IURODNONH/TWRORNOTMHUB| OANOUHUIBROANWOMHATROANSO

> Hee ee RR BB] BR SEESSSSBESEIRSSSSSSS cos CONnNwOTNtHTWOMG wo cnr

o ® ? i= p

68° (112°, 248°, 292°).

In Plane Sailing. Dist. Lat.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long. | Dep-

For converting er into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing. ;

For multiplication of numbers by sines and by cosines, or ee | solution of plane right-angled triangles. Eines ean

TABLE 3. Difference of Latitude and Departure for 22° (158°, 202°, 338°).

Tn Plane Sailing.

Forconverting Dep.into Diff. Long.and Dif’. Long.into Dep. In Middle Latitude Sailing.

For converting Dep.into Diff. Long.and Diff. Long.into Dep. In Mereator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. Difference of Latitude and Departure for 23° (157°, 203°, 337°).

AAANIDOOOM DWH OID ~10 00 2

Ree ee PNP SUP OO BODO ES) 0 GOI OUR Oo bo EHS

OO OTR NT 09 OT STOOD CO OUN OW RODN) OHOMDWO CR 709) OCH IW OOD OR

0. 0. 1. 1. 2. 2. 2. 3. 3. 3. 4, 4. 5. 5. 5. 6. 6. 7. 7. 7. 8. 8. 9. 9. 9. 0. 0. 0. 1. 1. 2. 2. 2. 3. 3. 4, 4, 4,

SRO FA SSO. GOS

HE CLOT? ST. 6] OF bO 6D OO PD SO O90 20D NUN OP) > SUI Fe 9 09 BO] BO BO EE SS DD OIG GO NENT NT D2 D9 SUSU Pes SHON NNEE

SID DP DD DD DDD! HP HARARRARAADA! AAAARAAAMNIHM Nn goog or

SSSRRR EES § (© Ott 169 6 OULD CO

| In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing. 3

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. [Page 68 Difference of Latitude and Departure for 23° (157°, 203°, 337°).

Plane Sailing. Dist.

Forconverting Dep.into Diff. Long.and Dif’. Long.into Dep. | Diff. In Middle Latitude Sailing. Long.

Forconverting Dep.into Diff. Long. and Diff. Long.into Dep. Diff. In Mercator Sailing. ay Long.

For multiplication of numbers by sines and by cosines, or Ne Nx Cos. NxSin. solution of plane right-angled triangles. Hypote- Bide

Page 64] TABLE 3. Difference of Latitude and Departure for 24° (156°, 204°, 336°).

CONaoTPObr

DOO OIA) ITI NIAINI FAD OS 0 2 00 C00 NN? 2 POV OUP HB I C 9 CO OTR A709 CO OT a} 09 CO OT TO

;

1 1 1 1 1 a 1 1 1 1 i 2 2 2 2 2: 2: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4

OME TWO THN WOTMORMNDLODNDHOANWOKHLOMHIWOTHIWOTNRNWORODN DH OOODOOODOO DI DODD DMDDNDDDD ODMDODMDDMOMDWOMOD

HeIOO COCO) ROO HS FF IIIS RO 15O 109) COLES | O93) OU CTU HES Hea C2 NO ROUSE OOOO G2 CO SOO 3103, UCU

DROMANDRODHNWOUHNIWOCTH|)IWOTORDN DEO ANDROADN OK OS] Or 1090 Ctr 709 Or

ee ee PSO £0.60 GO MINT N 92} D GUST pe 09 09-09 BOL NO Ft rt 4 SS SO £0 OO 00) CO NANT. S> D> G2 GUO po GO BO bo RO RA tO

> GESEEESSSISAESSRESSSNSAESVERS SOUSA RON EE Slomy aap wPyrS NTIMOOOHMNWKTOCIANDOOHMHMNWLRAADNDDOOHN WHRTRANDOODOHNWKRODNINDWO

EPL LPP PPE ated altel cottol toyed eae He HB 2 CO Go 09 G9 G9 Cd 09] Go G9 G9 CH Co CO GO GO Cd CR) Co Co 09 GO Co Go Co tO tO bt bo

NAPAAANE EF WSUS RRA SSS OSG HSN AHH SH Sus R69 0 SN AN WEPODN OPO UHMTWOTH TWO NH NIWOROAND LRPOMNDLRODN®

CONN NT TOO C0 RO FIC ISO G0) S103 WMDOOMNNWH UO SEEN EIED ED ED SHSM |

AU i eS BIRO COCO SI SIEDICD IS NOROANHLOD OOOOH OHO OOO 0] 0 0

NWI

fea >

+ Hu os

66° (114°, 246°, 294°).

Tn Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. - Diff. | } In Mercator Sailing. Long.

NxXCos. | NXSin. |

| Tor multiplication of numbers by sines and by cosines, or

; ; hy Hypote-| Side. Side solution of plane right-angied triangles. aE “Adj. Opp.

TABLE 38. Difference of Latitude and Departure for 24° (156°, 204°, 336°).

Lat. Dep. | Dist. 384.6 | 171.2] 481 385.5 | 171.6] 82 386.4 | 172.0} 83 387.3 |172.5] 84 388.3 |172.9] 85 389.2 |173.3] 86 390.1 |173.7] 87 391.0 |174.1] 88 391.9 |174.5} 89 392.8 | 174.9} 90 393.7 | 175.3] 491 394.7 |175.7] 92 395.6 |176.1] 93 396.5 |176.5] 94 397.4 |176.9] 95 398.3 |177.3] 96 399.2 |177.7} 97 400.1 | 178.2] 98 401.0 |178.6} 99 402.0 | 179. 0} 500 402.9 |179.4]} 501 403.8 |179.8] 02 404.7 | 180.2] 03 405.6 | 180.6] 04 406:5 | 181.0} 05 407.4 | 181.4] 06 408.4 |181.8} 07 409.3 | 182.2] 08 410.2 |182.6} 09 411.1 |183.0] 10 412.0 | 183. 4] 511 412.9 |183.8] 12 413.8 | 184.3} 13 414.7 | 184.7] 14 415.7 |185.1] 15 416.6 |185.5} 16 417.5 | 185.9] 17 418.4 | 186.3] 18 419.3 |186.7] 19 420.2 | 187.1] 20 421. 1 187.5} 521 422.1 |187.9] 22 423.0 | 188.3} 23 423.9 |188. 7] 24 424.8 |189.1] 25 425.7 | 189.5] 26 426.6 | 189.9} 27 427.5 {190.4} 28 428.5 |190.8] 29 429.4 |191.2} 30

430.3 | 191.6} 531 431.2 |192.0] 32 432.1 | 192.4} 33 433.0 | 192.8} 34 433.9 | 193.2] 35 434.8 | 193.6] 36 435. 8 | 194.0] 37 436.7 |194.4] 38 437.6 |194.8} 39 438.5 {195.2} 40

Dist.

Dep. Lat. }| Dist. | Dep.

In Plane Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep.

In Middle Latitude Sailing.

For converting Dep.into Dif’. Long.and Diff. Long.into Dep.

In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

66806°—3S——5

Diff. Long.

NxSin.

Hypote- nuse.

Side Opp.

Page 66] TABLE 3. Difference of Latitude and Departure for 25° (155°, 205°, 335°).

S ES

on oO CS

WOMOI|DOF CObor

bo 09 Co) BOL NICO Or 8D

lo ofie ole ole ole 2)

ee ee oS CONIC SNE OE

NIDODOOMPNWWWHORANDWDOMNWWHONDIMMWO

BRSSNRERRSSSSS: TCH Oanoarotrina

WOOO HH OH HO] OO HO CO SO OO OO CD] CO CO mona SESEEEEESASSSSASSSESSSAANSSARK RESSOSLAAS DOR OCIH TTD ORI ODE NWOROMN) TWO CTH Db OP CO] Ol 100 0

WDOODODOOOOOO OMDDDMODMOWDMOOOrIAI~NI

FCIAC SB POLO

eee Pe BH ASE

65° (115°, 245°, 2

Tn Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

For converting Dep.into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. Nx Oos. | NXSin.

solution of plane right-angled triangles. Hiypote Bde es

Difference of Latitude and Departure for 25° (155°, 205°, 335°).

Lat.

827. 2 328. 0 329. 0 329. 9 330. 8 331. 7 332. 6 333. 5 334. 4 335. 3

Dep.

152. 6 153. 0 163. 4 153. 8 154. 3 154. 7 155. 1 155. 5 155. 9 156. 4

TABLE 3.

[Page 67.

Lat.

490. 3 491. 2 492.1 493. 0 493. 9 494.8 495. 8 496. 7 497. 6 498.5

Dep.

228.6 229. 1 229.5 229. 9 230. 3 230. 7 231. 2 231. 6 232.0 232. 4

336. 2 337. 1 338. 1 339. 0 339. 9 340. 8 341. 7 342. 5 343.5 344, 4 345. 3 346. 2 347. 1 348. 0 348. 9 349. 8 350. 7 351. 6 352. 6 353. 5

499. 4 500. 3 501. 2 502. 1 503. 0 503. 9 504. 8 505. 7 506. 6 507.5

232. 9 233. 3 233. 7 234. 1 234. 6 | 235. 0 235. 4 235. 8 236. 2 236. 7

508. 4 509. 3 510. 3 511. 2 512. 1 513. 0 513. 9 514. 8 515. 7 516. 6

237.1 237.5 237.9 238. 4 238. 8 239. 2 239. 6 240. 0 240.5 240. 9

304. 4 355. 3 356. 2 357. 1 358. 0 358. 9 359. 8

362. 5

169. 0

517.5 518. 4 519.3 520. 2 621.1 522.0 522. 9 523. 8 524. 8 525. 7

241.3 241.7 242. 2 242. 6 243. 0 243. 4 243.9 244.3 244.7 245.1

363. 4 364. 3 365. 2 366. 1 367. 1 368. 0 368. 9 369. 8 370. 7 371. 6

372.5 373. 4 374. 3 375. 2 376. 1 377. 0 377.9 378. 8 379. 7 380. 6

Dep.

In Plane Sailing.

For converting Dep.into Diff. Long.and Diff. Long.into Dep.

169. 5 169. 9 170.3 170. 7 171.2 171.6 172.0 172. 4 172.9 173.3

173.7

174.1 174.5 175. 0 175. 4 175. 8 176. 2 176. 7 177.1 177.5

Lat.

In Middle Latitude Sailing.

526. 6 527.5 528. 4 529. 3 530. 2 531.1 532. 0 532. 9 533. 8 534. 7

245. 5 246. 0 246. 4 246. 8 247.2 247.7 248. 1 248. 5 248. 9 | 249. 3

In Mercator Sailing.

) Forconverting Dep.into Dif’. Long.and Diff. Long.into Dep.

| For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles.

535. 6 536. 5 537. 4 538. 3 539. 3 540. 2 541.1 542. 0 542. 9 543. 8

Dep.

249.8 250. 2 250. 6 251.0 251.5 251.9 252.3 252. 7 253. 1 253. 6

Lat.

Page 68] TABLE 3. Difference of Latitude and Departure for 26° (154°, 206°, 334°).

Lat.

162. 7 163.6 164.5 165. 4 166.3 167.2 168.1 169.0 169.9 170.8 171.7 172.6 173.5 174. 4 175. 3 176.2 177.1 178.0 178.9 179.8 180. 7

181.6 182.5 183.4 184.3 185. 2 186. 1 186. 9 187.8 188. 7 189. 6 190.5 191.4 192.3 193, 2 194.1 195.0 195.9 196.8 197.7 198.6 199.5 200. 4 201.3 202. 2 203. 1 204. 0 204. 9 205. 8 206. 7 207.6 208.5 209. 4 210.3 211.2 212.1 213.0 213.9 214.8 215.7

Rb OB OLN] ODO OF ND WOT IO

Ree tbobopty SUP eR O° aoe

DO $0] PO MINNA MAB) Row wNNME HSS

NN DOP OCOMANNWDA PO CHIN DWOTODNNWOPROTH AN! DWONOAHNIWOA POMNHQNwOWOR

AD WOOO BS CoH OTE) SIO OO OF BD GOB OTOD} SICO OO

bo ee SA is

AONNWOROTHNNOAWONOMYAT

DOOM NWPOUIMDNDW OOHMNWHEOIRDNID OOMNWEUDNID COHN WKHUODND COOH NWWRUOD ITH

COORMNWWHODNIW! O CLOTOLOICIOVOT HR PS PRR EPP NYE EH SSSSSRONNSARAT

A Te ee oa a 2 GO) C OIRO) FE COICO OO TOT IO) RO SOOO UC | OS CTU COND OOOO

Dep.

In Plane Sailing.

Forconyerting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting AEN Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or

i ight- i hb Hypote-| Side. solution of plane right-angled triangles. ton ‘Adj.

TABLE 3. Difference of Latitude and Departure for 26° (154°, 206°, 334°),

384.7 | 187.6 385.6 | 188.1 386.5 | 188.5 387.4 | 188.9 388.3 | 189.4 389.2 | 189.8 390.1 | 190.3 391.0 | 190.7 391.9 | 191.1 392.8 | 191.6 393.7 | 192.0 394.6 | 192.4 395.5 | 192.9 396.4 | 193.3 397.3 | 193.8 398. 2 | 194.2 399.1 400.0 400.9 401.8 402.7 403.6 404.5

414.3 | 202.1 415.2 | 202.5 416.1 | 203.0 417.0 | 203.4 417.9 | 203.8 418.8 | 204.3 419.7 | 204.7 420.6 | 205.2 421.5 | 205.6 422.4 | 206.0 423.3 | 206.5 424.2 | 206.9 425.1 | 207.3 426.0 | 207.8 426.9 | 208.2 427.8 | 208.7 428.7 | 209.1 429.6 | 209.5 430.5 | 210.0 431.4 | 210.4

In Plane Sailing.

Forconverting Dep.into Diff. Long.and Diff. Long.into Dep. In Middle Latitude Sailing.

For converting Dep.into Dif’. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 70] TABLE 3. Difference of Latitude and Departure for 27° (153°, 207°, 333°).

i} = tie

Dep. } Dist.

54.9 | 181 : 82.2} 241 82.6 83.1 83.5 84.0 84.4 84.9 85.4 85.8 86.3 86.7 87.2 87.6 88.1 88.5 89.0 89.4 89.9 90.3 90.8 91.3 OIL, 92.2 92.6 93.1 93.5 94.0 94.4 94.9 95.3 95.8 96.2 96.7 97.2 97.6 98.1 98.5 99.0

OK OMS 9 G0

OOID OP br

et byoe ros bow

Hee Nobby 3 03 8

See eee

D0] DW ONINIAA AAT PR CWP EE SS

DWOWDRPOTHOANINNDWOROUMHANIWDWOROTHIANIWDWOROTHHONTIWOARORS AHOnwwrToOor oc

NNoee

0. il 2. 3. 4, 5. 6. 7. 8. 8. @), 0. 1. 2. 3. 4, 5. 6. 6. 7. 8. 9: 0. 1.

9 8 7 6 5 3 2 1 0 9) 8 df 6 5 4 3 1 0 9 8 7 6 5 4 3 2 pal 9 8 5. 7 6 a) 4 3 .2 b il 0 9 7 -6 Bt) 4 .3 2 bal .0 9 8 BO 4.6 4 13 2 bal 0 Be) .8 oO 6

eS oO ioe)

= or co SIWOPOROTMHAWUTWDOROCMOTH! ANWWORDOMNOAHRANIWDPRONOBENNTIWOEOMORDHMINN

EUDIDOOH WA IDUIDOOHNWORIDDOHPNWKHONDOOHMNWHOD NOOO

Lat. } Dist.

oO ® uo)

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or = : PeIstomon plane right-angled triangles. : Hypote-| Sido Side nuse. Adj. Opp.

TABLE 3. Difference of Latitude and Departure for 27° (153°, 207°, 333°).

Lat.

428. 429.

> ie.) i) o

bo a> bo

wNwhwbpy DDD D COVOot He

Le RS) BS o> DD ID D

HOR AURMIDOOHINWWURAUDDOOHPNY| WPRUANDOOCHNWLUARBIDOONWHE ADINWDGHONWKHUANIBDOSOHMN HOD

63° (117°, 243°, 297°).

In Plane Sailing.

For converting Dep. into Dif’. Long. and Diff. Long.into Dep. In Miadle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mereator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

OOM WRIA TWO HDOHMPNWWUAN DOSEN WPA HO) OOMN WROD O) ORD WHR OL NOC PNW ROIONAO

NmNwnwby SN DDD ooo 00

POMNORDHITN DAW OR OMNORDHENNAPOROMNORBHENN DWOROTRPARPNNOAWOLOMHE AMI NNWAWOROUR SD

Page 72] TABLE 3.

Difference of Latitude and Departure for 28° (152°, 208°, 332°).

~] < n

Lat. Dep. | Dist.| Lat.

ral =) o

1 0.9} 0.67 61) 53.9 106. 8 b

2 1.8) 0.9} 62] 54.7 107.7 | 57.3

3 2.6) 1.4] 63] 55.6 108.6 | 57.7 4 3.5] 19] 64] 56.5 109.5 | 58. 5 4.4] 2.3] 65] 57.4 110. 4 | 58. 6 6.3] 2.8] 66] 58.3 111.3 | 59. 7 6.2] 3.3] 67] 59.2 112.1 | 59. 8 7.1) 3.8} 68] 60.0 113.0 | 60. 9 7.9} 4.2] 69) 60.9 113.9 | 60. | dbo) 8.8] 4.7] 70) 61.8 114.8 | 61. 11 O78 | S25 |G 27, 115.7 | 61. 12} 10.6) 5.6] 72] 63.6 116.5 | 62. 13} 11.5] 6.1 9 73] 64.5 117.4 | 62. 14) 12.4] 6.6] 74) 65.3 118.3 | 62. 15) 13.2] 7.0] 75 | 66.2 119. 2 | 63. 165} Ta) oo a 67. 1 120.1 | 63. We) USO!) bO|)) 7 |) GEEO 121.0 | 64. 18} 15.9] 85] 78) 68.9 121.8 | 64. LON LONSH ie SON | 290 | GONS 122.7 | 65. 20) 17.7] 9.4} 80] 70.6 123.6 | 65. PAL || SURE EST CER) | SLT ASS 124.5 | 66. 22) 19.4)10.3} 82} 72.4 125.4 | 66. 23 | 20.3) 10.8] 83] 73.3 126.3 | 67. 24} 21.2) 11.3] 84) 74.2 127.1 | 67. Hs) || SIL | able || Sid) eal 128.0 | 68. 26} 23.0) 12.2} 86) 75.9 128.9 | 68. 27 | 23.8) 12.7] 87} 76.8 129.8 | 69. 28} 24.7) 13.17 88) 77.7 130.7 | 69. 29} 25.6] 13.6] 89] 78.6 131.6 | 70. 30} 26.5) 14.10 90] 79.5 132.4 | 70. 31} 27.4) 14.6] 91} 80.3 133.3 | 70. 32) 28.3] 15.0} 92] 81.2 134.2 | 71. 33 | 29.1] 15.5} 93} 82.1 135.1 | 71. 34} 30.0] 16.0] 94] 83.0 136.0 | 72. 35 | 30.9 | 16.4] 95] 83.9 136.9 | 72. 36 | 31.8] 16.9] 96] 84.8 137.7 | 73, 37 | 32.7] 17.4] 97) 85.6 138.6 | 73. 38 | 33.6] 17.8} 98} 86.5 139.5 | 74. 39 | 34.4) 18.3] 99] 87.4 140. 4 | 74. 40 | 35.3 | 18.8] 100 | 88.3 141.3 } 75. 41} 36.2 | 19.2] 101 | 89.2 142.2 | 75. 42| 37.1) 19.7] 02) 90.1 143.0 | 76. 43 | 38.0] 20.2] 03] 90.9 143.9 | 76. 44] 38.8 | 20.7} 04] 91.8 144.8 | 77. 45 | 39.7] 21.1} 05) 92.7 45.7 | 77. 46 | 40.6 | 21.6] 06] 93.6 146.6 | 77. 47 | 41.5 | 22.1] O07 | 94.5 147.5 | 78. 48 |} 42.4 | 22.5} 08] 95.4 148.3 | 78. 49 | 43.3 | 23.0] 09] 96.2 149.2 | 79. 50 | 44.1 | 23.5} 10] 97.1 150.1 | 79. 51} 45.0] 23,9} 111] 98.0 151.0 | 80. 52] 45.9] 24.4] 12] 98.9 151.9 | 80. 53] 46.8 | 24.9} 13] 99.8 152.7 | 81. 54] 47.7 | 25.4] 14 | 100.7 153.6 | 81. 55 | 48.6 | 25.8} 15} 101.5 154.5 | 82. 56] 49.4} 26.3} 16 | 102.4 155. 4 | 82. 57 | 50.3 | 26.8} 17 | 103.3 156.3 | 83. 58 | 51.2] 27.2} 18 | 104.2 157.2 | 83. 59 | 52.1 | 27.7} 19] 105.1 158.0 | 84. b b b 84.

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 38. Difference of Latitude and Departure for 28° (152°, 208°, 332°).

ww oo aman SI OD OF

oo co Neko} ——)

oo 09 OO DOS NWWEUIATOOHM NI WRAIDOOHWAINURMIDOH NWA AMTOOORW

qo 02 02 GO Ooo Oo DOU CO

He co ow oo

Be ee ooeo OUR Co bo

Bee ooo soon “I

THOBHANWATNW WW OPOROTOTH A PIN IN DWH ORONO ORN

In Plane Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Middle Latitude Sailing.

For converting Dep.into Diff. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. ENDCOS® solution of plane right-angled triangles. Hiypote, nee

Page 74] TABLE 3. Difference of Latitude and Departure for 29° (151°, 209°, 331°).

a is] o uo}

OOD OP COLE

POOP SS Fo OSI GIS

WOODOODO/ ODDO OOOOO DO! OOODOMHMOMOMOMO OPOR OBI OMNOMNOTHM OHA OPNNNN NTN oO

SOIC} O0) GONE EU C2) OS OCU SOS

‘In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

Tor converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Salling.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 38. Difference of Latitude and Departure for 29° (151°, 209°, 331°).

In Plane Sailing.

Forconverting Dep.into Diff. Long.and Diff. Long.into Dep. In Middle Latitude Sailing.

Forconverting Dep.into Diff. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 76] TABLE 3. Difference of Latitude and Departure for 30° (150°, 210°, 330°).

=] = n

Dep. | Dist.

60.5 | 181

CONIMRPMPwWheH

0. 1. 1. 2. 2. 3. 3. 4, 4, 5. 5. 6. 6. 7. le 8. 8. 9. 9. 10. 10. lal, 11. 12. 12. 13. 13. 14. 14. 15. 15. 16. 16. 17. 17. 18. 18. 19. 19! 20. 20. 21. 21. 22. 22. 23. 23. at. 24, 25. 25. 26. 26. 27. 27. 28. 28. 29, 29, 30.

5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0 5 0

Lat. } Dist.

60° (120°, 240°, 300°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. om Diff. In Mercator Sailing. Long.

; "9 P N. NxCos. | NXSin. For multiplication of numbers by sines and by cosines, or S solution of plane right-angled triangles. Hypote-| Side Side

nuse. Adj. Opp.

TABLE 3. Difference of Latitude and Departure for 30° (150°, 210°, 330°).

Dep. } Dist.

240. 5] 541

In Plane Sailing.

For converting Dep.into Diff’. Long.and Diff. Long.into Dep. In Middle Latitude Sailing.

Forconverting Dep.into Diff. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 78 TABLE 3. Difference of Latitude and Departure for 31° (149°, 211°, 329°).

Dep. [pee] Lat. | Dep. |

155.1 | 93.2} 241 | 206.6 | 124.1 156.0 ’ 42 | 207.4 | 124.6 156.9 g 208.3 | 125.2 157.7 é 209.1 | 125.7 158.6 By |) 210.0 | 126.2 159. 4 : 210.9 | 126.7 160.3 : 211.7 | 127.2 161.1 : 212.6 | 127.7 162.0 i 213.4 | 128.2 162.9 : 214.3 | 128.8 163. 7 215.1 | 129.3 164.6 | 98.9 216.0 | 129.8 165.4 | 99.4 216.9 | 130.3 166.3 | 99.9 217.7 | 130.8 167.1 | 100. 4 218.6 | 131.3 168. 0 | 100.9 219.4 | 131.8 168.9 | 101.5 220.3 | 132.4 169.7 | 102.0 221.1 | 132.9 170.6 | 102.5 222.0 | 133.4 171.4 |103.0 222.9 | 133.9 172.3 | 103.5 223.7 | 134.4 173.1 |104.0§ 62 | 224.6 | 134.9 174.0 | 104.6 225.4 | 135.5 174.9 | 105.1 226.3 | 136.0 175.7 | 105.6 227.1 | 136.5 176.6 | 106.1 228.0 | 137.0} 177.4 | 106.6 228.9 | 137.5 178.3 | 107.1 229.7 | 138.0 179.1 | 107.6 230.6 | 138.5 180.0 | 108. 2 231.4 | 139.1 | 180.9 | 108.7 232.3 | 139.6 181.7 | 109.2 233.1 | 140.1 182.6 | 109.7 234.0 | 140.6 183.4 | 110. 2 234.9 | 141.1 184.3 | 110.7 235.7 | 141.6 185.1 |111.2 236.6 | 142.2 186.0 }111.8 237.4 | 142.7 186.9 |112.3 238.3 | 143.2 187.7 | 112.8 239.1 | 143.7 188.6 | 113.3 240.0 | 144.2. 189. 4 113.8 240.9 | 144.7 190.3 | 114.3 241.7 | 145.2 191.1 | 114.9 242.6 | 145.8 192.0 | 115.4 243.4 | 146.3 192.9 |115.9 244.3 | 146.8 193. 7 : 245.1 | 147.3 194.6 : 246.0 | 147.8 195. 4 2 246.9 | 148.3 196.3 A 247.7 | 148.8 197.1 : 248.6 | 149.4 198.0 L 249.4 | 149.9 198.9 . 250.3 | 150. 4 199.7 , 251.2 | 150.9 200. 6 i 4 | 252.0 | 151. 4 201. 4 : 252.9 | 151.9

PAPBOV ASO ONMATB WES

MWOOHWRATOOCOIHWRATOOH WRI AID ORWRONO Paras

DNWNNNNNDH HH Hee ee

CULES Hs C2 /NO Fa )50) 00) G0

$0 £90 90/1 NYS> 9) US > G2 G0) BO Es Ft S9| S60 O00 GO NI NI OD > OCU G0 G9 BONO I

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 ie 2 2 2

OU OvOSOvoretr Be) Pp SSVOoASSSSSSASSGGEESSS!

SS ISAIEA Ebb bo Ss SS

So eae BE i ENS CO HE COE 00 09 00 09 CO CD] CODD MIDI MINNIE DHMH AH MOMS MS] OB OR OR 09 00] CO DO WODNINATNN NRHA AH AON

WOO MOO OOM OOOO HOMO} OO

ORTH a

FSO COICO Oa UTI

PAMTOOH WR

29 COLD DON LO DOD by by] to bY bo bo NY by by

SISKORCIOO CoS SONOS CON EICSINS tae

o @ Lo}

| In Plane Sailing.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

Por converting Dep.into Diff. Long. and Diff. Long. into Dep. . Diff | 4 In Mercator Sailing. Long.

Senate . A N. NxCos. | NXSin. For multiplication of numbors by sines and by cosines, or = solution of plane right-angled triangles. x Hypote-| Side Side

nuse. Adj. Opp.

TABLE 3. [Page '79 Difference of Latitude and Departure for 31° (149°, 211°, 329°).

a ot ot i=)

Bee

ae oO

wwe DD “IO o> es Bee SERN S

NNN NRFOR OH OHO

G2 Go Go Co GO GO CO tO INNIS OnNRWNNHOS

ew woo to 0D 0 DmODnnwnraInra HB COD Fr Oc 00

387 388 389. 390 390 391 392 393

iB i 09 09 SSSoeSs

ETS ot a co aes NO a nO ODE TCS FCS SCOT COT SSO 6 Sc SNWRAIDON/LWRAISCOCNWHATOCONWARRAIOCOSOINWRAITSCONWAIAUOSCONWAOT

aN So i) oOo

Hy Sse Tue oo hon

ATOGOONWWPLANOGOONWKHEANOCSCNWHATOGOONWHANDOOCNHWKRANSCIONWERANOCONWRANCONWHOY

or pa iss) iS

In Plane Sailing.

Forconverting Dep.into Diff. Long.and Dif’. Long.into Dep. In Middle Latitude Sailing.

| For convening Dep Lo Da Long.and Diff. Long.into Dep. - Diff. In Mercator Sailing. Long. NxXCos. | NXSin. | Side Side j Adj. Opp.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 80] TABLE 3. Difference of Latitude and Departure for 32° (148°, 212°, 328°).

Dep. | Dist.| Lat. Dep.

95.9] 241 | 204.4 | 127.7 205.2 | 128.2 206.1 | 128.8 206.9 | 129.3 207.8 | 129.8 208.6 | 130.4 209.5 | 130.9 210.3 | 131.4 211.2 | 131.9 212.0 | 132.5 212.9 | 133.0 213.7 | 133.5 214.6 | 134.1 215.4 | 134.6 216.3 | 135.1 217.1 | 135.7 217.9 | 136.2 218.8 | 136.7 219.6 | 137.2 220.5 | 137.8 221.3 | 138.3 222.2 | 138.8 223.0 | 139.4 223.9 | 139.9 224.7 | 140.4 225.6 | 141.0 226.4 | 141.5 227.3 | 142.0 228.1 | 142.5 | 229.0 | 143.1 229.8 | 143.6 230.7 | 144.1 231.5 | 144.7 232.4 | 145.2 233.2 | 145.7 234.1 | 146.3 234.9 | 146.8 235.8 | 147.3 236.6 | 147.8 237.5 | 148.4 238.3 | 148.9 239.1 | 149.4 240.0 | 150.0 240.8 | 150.5 241.7 | 151.0 242.5 | 151.6 243.4 | 152.1 244.2 | 152.6 245.1 | 153.1 245.9 | 153.7 246.8 | 154.2 247.6 | 154.7 248.5 | 155.3 249.3 | 155.8 250.2 | 156.3 251.0 | 156.9 251.9 | 157.4 252.7 | 157.9 253.6 | 158.4 254, 4 | 159.0

OBNAWIF Wr

HS) COLBO FSCO 1/00 SOs UCT aR ODIO ON | 1M OOH DO INI

SN Oh te = Bm NN EES OO) © DO NN OO? SUSUR

Re ee

— ISIE i

TOMORROW OWUIN|INODHAOMOR

STAT SI SISI SI SI AI AI AIO A ARARARAARAAD®D

BORO es | ser scOKO OO

$© 50/00/00 S1'G3 9, TU 9/9 BORO 1 } cO CO GO AA > > SUSU] He 9/09

DODMDDDDDADDDDODOOOOOaIINININS

POWDWINTH AH ROMOR OR @ WW DWINNH OHO NORORMDWONANINNTE AH NOMNO | OR MOCO tt Ne

ADOHWEATOONWORDOMN HO TWHMOrF

(OOOO OOO OO) <0 OMS HES COICO INOINO Ea at 1

Dep. Lat. § Dist. A ist. Dep. Lat.

58° (122°, 238°, 302°).

In Plane Sailing. Dist.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or - solution of plane right-angled triangles. Ely pote

TABLE 3. Difference of Latitude and Departure for 32° (148°, 212°, 328°).

58° (122°, 238°, 302°).

In Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. Diff. In Middle Latitude Sailing. Long.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. Nx Cos. solution of plane right-angled triangles. Epote: mee

66806°—38——6

TABLE 3. Difference of Latitude and Departure for 33° (147°, 213°, 327°).

Ic © st

Dep.

> ot <O an OX — oo

OMIM WHR

0. 1. 1. 2. 2. 3. 3. 4, 4, 5. 6. 6. 7. 7. 8. 8. 9. 9!

5 1 6 2 7 3 8 4 9 4 0 5 1 6 2 ul 3 8 3 BY) .4 . 0 A) bl . 6 2 ou Me) . 8 3 219 4 0 A) bal . 6 . 2 Ed 2 .8 3 9 4 0 5 5. 1 5. 6 bal bal 12 .8 3 9 . 4 . 0 25 .0 6 1

ee as PRO NOKROWONNTE AH OOROWONNN DROOL OW ODN NWO OO Fr Oto OD

ee Oro oe bo~t

77 CoN SID DN

q PROSE N LAN OM NW KROTOSCONWI AATDONWWURADWO RH WHEAWOMWARAINOMPNWHONOON! WoINoonwwoc

DOM WEAWOPMIWHEANTORPNKH ON CONKONTNDONWWUDWOORrWHRAWOD HPoORhatoSPr Ao NOONWKUTOO NW WONT AOoOoOP OW OO

SAD EPOWDNATH| AOMOHOWDNARF REM NOKhROWONI NN AE NHORDOWHOINNN AHP UOK OW DWNINARPUOCHS AWOHNWAANOHINWOKRATOGOONWWON DONWUDWOM WIR RDDORMNRANDO HP wohoONoowow

NTN DMONOP OK DI WTIN ARP HNOTHO BR DWNINAPRADUO! POWAINATARP ROO OR OWNIN TH ODO] OO ROW ON AHO&

SCHWRRADWDOM WAI RAIOMPNRUNTOOIWNWUANTIDONWUR DOM WHRHOOH

57° (128°, 237°, 303°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long. For converting Dep. into Diff. Long. and Diff. Long. into Dep.

In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles. Hypote-

muse.

TABLE 3. Difference of Latitude and Departure for 33° (147°, 213°, 327°).

bo o> bo

Ts Go vo rs) DH lk)

wowc oooo oOaonrnsl

NOPROWDNWIND WYN NHNYNHYNW DABARBAAD

SOOO ODORS)

AO BP OWONNTHRAOUSC! POWONNH OHO OHROWNNNN OH PWD DORM WHEAWORN RANGOON KUNG ONWONDOM WO DOOR WROWOOr

NT SCONWWUNTNDMDOPM WI URAWORrWKRADO HE NRANOCONWKONTOONWUNDOMWURDDWOS

6 bal bul 2 olf 23 8 4 9 5 0 6 ok oH 2 7 3 8 4 9 5 0 6 1 6 2 u 3 8 4 9 5 0 5 1 .6 2 bo -3 8 4 of) 4 0 5 1 6 2 off 3 8 3 9 4 0 5 1

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Middie Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. NXxCos. NDEI solution of plane right-angled triangles. Hypote-| Side Side 3 | muse. Adj. Opp.

Page 84] TABLE 38. Difference of Latitude and Departure for 34° (146°, 214°, 326°).

o o uc)

OO IMO bos

bo eee 8 ND OO 0 HD OUR ROO BO Et DS 50 80) CONT D SUSUR Co bo Et ©

Nye ee RPOWOH DP) DDOHMWRADWORWOIRDDORMWONIM

RSSSSRRASIATE RONDE ESS OM ONIN AMP wwrr prs RNP SSSSSSANSUGE ROSE RSSs

CIO DOOM MMMDODDMOlDOMDMDDDMNONODOAIAN ITNT NN STINT ODDAD SS|SRBAASSARASSSSA RSS Sal OINSOAP ewe HOSS HHON

PRSSSSSSaNSs

DOM WAAWONWUNIHDO

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2: 2

$2 62 £2 42 62 G2 40 0] 62 09 C8 O2 LO CBSE ER SES

PO SONS FeSO), OO SSI ON TUF LOH INTO OLD

WOWOOOOOOOOSO SHANA AE SNS ANIMONwWwWUANoS

il In Plane Sailing.

} Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Depainta Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. Difference of Latitude and Departure for 34° (146°, 214°, 326°).

NNNNNNLN wWwwwwwie WwWNNrOO ROWNINAH OO WWIHASOMOWO NNT RAOKROWONW) DHE

bo oD ae eo

8 3 . 9 4 .0 6 pil ba .2 8 4 9 a) -0 6 pit 7 3 8 5 29 -5 oil 6 .2 a Uf 3 9 4 0 -5 bal bo .2 -8 3 9 34 0 -6 oil oll .2 8 4 of) 5 0 -6 2 Da 3 8 4 0 5

56° (124°, 236°, 304°).

In Plane Sailing.

For converting Dep. into Diff. Pong: and Diff. Long. into Dep. Dif. In Middle Latitude Sailing Long.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. | In Mercator Sailing.

} For multiplication of numbers by sines and by cosines, or N.

solution of plane right-angled triangles. zLYDote:

Page 86 TABLE 8. Difference of Latitude and Departure for 35° (145°, 215°, 325°).

Lat. | Dep. | Dist. 3 . | Dist. : . | Dist. ; . | dist. | Lat. | Dep.

197.4 | 188.2 198.2 | 138.8 199.1 | 189.4 199.9 | 140.0 200.7 | 140.5 201.5 | 141.1 202.3 | 141.7 203.1 | 142.2 204.0 | 142.8 204.8 | 143.4

205.6 | 144.0 206.4 | 144.5 207.2 | 145.1 208.1 | 145.7 208.9 | 146.3 209.7 | 146.8 210.5 | 147.4 211.3 | 148.0 212.2 | 148.6 213.0 | 149.1 213.8 | 149.7 214.6 | 150.3 215.4 | 150.9 } 216.3 | 151.4 217.1 | 152.0 217.9 | 152.6 218.7 | 153.1 219.5 | 153.7 220.4 | 154.3 221.2 | 154.9 222.0 | 155.4 222.8 | 156.0 223.6 | 156.6 224.4 | 157.2 225.3 | 157.7 226.1 | 158.3 226.9 | 158.9 227.7 | 159.5 228.5 | 160.0 229.4 | 160.6 230.2 | 161.2 231.0 | 161.7 231.8 | 162.3 232.6 | 162.9 233.5 | 163.5 234.3 | 164.0 235.1 | 164.6 235.9 | 165.2 236.7 | 165.8 237.6 | 166.3 238.4 | 166.9 239.2 | 167.5 240.0 | 168.1 240.8 | 168.6 241.6 | 169.2 242.5 | 169.8 243.3 | 170.4 244,1 | 170.9 244.9 | 171.5 245.7 | 172.1

WOOND CP Cobre

RE SOC OND TP ROHS OO CO Ol WH ONT Or C2 O10

DOO WW ID T/T TP Cob POPES

SIL OHO WON AOTUO WINN DOR OWNED

DD DDD DDD! DAA DAA AMA AAA AA MS ON TOT Ts DORE I3} 3 COU Ht 19 LAOS EF a5} OC IE TOS 5 I CC NON lle sess sooo SIH NOR MNT H TORONTO PONAHTOWDN| AMOUMOW

wwwwwwwwdd| MD NNNNHNHNDN] yb HSS OD}OS) RO) RO) Fs ICO ICD 1 GO} GOP TSTC2 TU TUES HS Cs NOES atime Seiceesa seaoers HE 00 CONT HE COTO HR OO GO] NIFH OO BR OO DONT OO

Dep. Lat.

In Plane Sailing. Dist. Lat.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. Tn Middle Latitude Salling.” Eat Pa errors | eoeP:

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing. w if. d s

For multiplication of numbers by sines and by cosines, or N. ENIX Coss nS solution of plane right-angled triangles. Hypote-| Side Side nuse. Adj. Opp.

TABLE 3. Difference of Latitude and Departure for 35° (145°, 215°, 325°).

eo oo e969 CO OCus Re BPSoS5mH =

He oo oo Y2 CO OO

SOSSss

SBSHDDAID

eo a CO bo bo bo S> OVO

328 328 329, 329, 330 331 331 332.

CH WUTDONW KA WOHWONTDON A DWOHMWONTDMON/ KONTO CO

OWTIHRHOD DOWIE ROBRWDOWNH NOR DONTE OO) PONTE OOP ON) DRPTOWDNAROMN

DWT NORON| TH MOR MONTH OOR ON ADH NOWDA NOH UOWONAS COWNNACUONW

DPOWOH WER BDIONW KH UTNOH WPA DON KRONOR WR DOON WON OF LD BOWOONWUNOR| NERDS

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Middle Latitude Sailing. io Gj

| Forconverting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 88] TABLE 3. Difference of Latitude and Departure for 36° (144°, 216°, 324°).

o o Le}

DWODOOOODO OD] OOD OOO © OD OD | 60 00 00 00 CO GO GO GO 00 00] 00 00 00 00 mT AT AT AAT 9) ATT TT TTT IIT $0150 100) 00/51/12 UCU HR 9 RO)RD) FATES I/O 6100): 0/ 4) 12 OUCTURS HS CORON FSF 16O)501G0) 00) S11] 3) GU CUT He CORO RO) aE OW INAS HON A ONO WIE MNO WO WRORDNRH NO WIE TMORONWAORONAH COWIE

SD] 90 GON > QUOTE pe) CO BO BO FF SS SO GO G0) NEN > SUSUR IB OO BO BO FF SS 60 G0 00 ST NI OD) GUT He 09 BO BO Et Et ©

EI CLO WANT DO] POD DOTO CMH] CLOWNNAOPON) DOTOWNEHOUDOW ON DORON DEH OWUOWNR OO HOO

0. 1. 2. 3. ce 4. 5. 6. 7. 8. 8. 9. 0. 1. 2. 2. 3. 4, 5. 6. 7. 7. 8. 9. 0. 1. 1. 2. 3. 4, D. D. 6. 7. 8. 9. 9. 0, 1. 2. 3. 4, 4, D. 6. ho 8. 8. 9. 0. 1. 2. 2. 3.

WOWWWWHWWWIDNDNNNNNNHNNINNNNNNNRMHE EY BPE EE EP eee ee eee

Ms CORON

TWAT OHM WONT OH WIERD ONWPRRADON) PANOMPWONODH WONDONW RADON RRWDORMWOTO EH WONTOONK ODO (J) La a

1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2: 2 2 2 2 2 2 2 3 3 3: 3: 3 3 3 3 3 3 3 3 4 4 4 4 4 44 4 4 4 4 4

SOU oo ot oo

54° (126°, 234°, 306°).

Tn Plane Sailing. "| Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. h In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N

solution of plane right-angied triangles. Bypote;

TABLE 3.

Difference of Latitude and Departure for 36° (144°, 216°, 324°).

Lat.

340. 6 341. 4 342. 2 343. 0 343. 8 344. 6 345. 5 346. 3 347.1 347.9

bo oOo SUESOIROIE cs)

1 Soo) ooeoeo CAIDA OD

[Page 89

re wo ON ow

348. 7 349. 5 350. 3 351.1 351.9 352. 7 353. 5 354. 3 399. 2 356. 0

cto wo 0 0o 0 tO eeoocoooooo Hop wonee

Do omwenronwc

356. 8 357. 6 358. 4 359. 2 360. 0 360. 8 361. 6 362. 4 363. 2 364. 1

ooo oo Neyo}

09 09 69 09 Pee HS 09 69 BO

364. 9 365. 7 366. 5 367.3 368. 1 368. 9 369. 7 370.5 371.3 372.1

2 eo 09 oD 69 69 09 OD NNYNeeee NN SoM IN

373.0 373. 8 374. 6 375. 4 376. 2 377.0 377.8 378. 6 379. 4 380. 2

We wectoc§c WoOmWNNwNbd SSSaONSSR

bal Bu) ou at) .3 bal .0 -8 6 4 2 . 0 . 8 . 6 74 2 . 0 9 7 5 3 1 9 ull 5 3 oil 79 8 6 . 4 2 0 8 . 6 4 . 2 . 0 9 -7 At) 3 bal 9 7 5

381.1 381. 9 382. 7 383. 5 384. 3 385. 1 385. 9 386. 7 387. 5 388. 3

In Plane Sailing.

For converting Dep. into Diff. pong: and Diff. Long.into Dep. In Middle Latitude Sailing

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

NxXCos.

NxSin.

Side Adj.

Side Opp.

Page 90] TABLE 8. Difference of Latitude and Departure for 37° (143°, 217°, 323°). Dep. | Dist. ; b | 5 b E Lat. Dep. } Dist.

144.6 | 108. 9} 241 145. 4 | 109. 42 146. 2 | 110. 43 146. 9 | 110. 44 147.7 | 111. 45 148.5 | 111. 149. 3 | 112. 150. 1 | 113. 150. 9 | 113. 151.7 | 114,

152.5 | 114. 153. 3 | 115. 154. 1 | 116. 154. 9 | 116. 155. 7 | 117. 156.5 | 118. 157.3 | 118. 158. 1 | 119. 158. 9 | 119. 159. 7 | 120.

160. 121. 161.3 | 121. 162.1 | 122. 162. 9 | 122. 163. 7 | 123. 164. 5 | 124, 165. 3 | 124, 166. 1 | 125. 166. 9 | 125. 167. 7 | 126.

168.5 | 127. 169. 3 | 127. 170. 1 | 128. 170. 9 | 128. 171. 7 | 129. 172.5 | 1380. 173.3 | 180. 174.1 | 131. 174.9 | 131. 175. 7 | 132,

176.5 | 133. 177.3 | 133. 178.1 | 134. 178.9 | 134. 179.7 | 135. 180. 5 | 136. 181.3 | 136. 182. 1 | 137. 182. 9 | 137. 183.7 | 188.

184.5 | 139. 185. 3 | 139. 186.1 | 140. 186.9 | 140. 187.7 | 141. 142. 142. 143. 143. 144,

g B Gr is © =

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78

a iS SxS! o

102. 103. 103. 104. 105. 106. 107. 107. 108. 109. 110. 111. 111.

112. 113. 114. 115. 115. 116. 117. 118. 119. 119.

120. 121. 122. 123. 123. 124, 125. 126. 127. 127. 128. 129. 180. 131. 131. 132. 133. 134. 135. 0 135. 8 136. 6 187. 4 188. 2 . 0 8

co CONT OT 09 DOE SCRONDOFRON SD MONK DWOONW HO

$2 20] CONT OTD HB oo POPS

€ z C c C ry Or WOT OF WOTN OM WOT OH WON OCH WUODONKRAD OCWKADONW AAD OCHNARADONWKEADIOCNRADONWEAM

$0 $0 90 NI NI 2] > OUP HB OO 08 BO Ft Ft

WITH OOWNE OO WN RONDORDINRDOLBAND

NWEADONW ED DONKADSONWKEAD DON KAWDONWKEDODONWNKAWDONKD Py OWI NO WTH MOWAT HOO WT HY COW NTH OW ATHY] COW NIE MOWAT HY] LOW DORON D

= ~J eS Or

a aI Don

139

139.

140. 6 141.4 142. 2 143. 0 143. 8

NP DOS DWH OD] OM WOT OH WON OH WONT OH WON OHM WONT OH WON OH WOT OH WONT ORM WoO r COAT = I >

NACHLANAGCHLANOBORMANAOHOC WRAORDNRAOHEDINRBOHRANASWNA] HOO WATE OO WN HoT AT OT ST TSO TNT OF THY) SIO 0 OLN OF 0 OT ST CO 0 CENT CO 0 CY SIO HI ONT CO 0 OY SIO CO OTT OF WO OY NICO WO OTTO DD FON AOL WANRAOCPANAOKHDNAOALONROKHRADNAS|PONWAOKHRONAS ARAN RDOHON US| WIPO WANE OO PROWL ADOHW AE! ADONW RADON EI ANDONWKRADONW A! DADON RADON EIADONUNIOHP WH WOHORP WoO

6 2 8 4 0 6 2 . 8 .4 . 0 . 6 2 3.8 st 0 . 6 He 9) 5 1 ned, . 3 39 . 5 a dl atl 3 29 5 bal 7 3 9 5 1 an 3 9 9.5 bal a .3 9 Lo) bal 3. 7 3 a9 5.5 bl

CO ST FE OO WO NT FE OT C9 STF OTS C1 ST OT SO] CO AT ES OO CO ST EH

OV CO NTR O10 tO AT

Ie =)

ot +

Dep. 532 (1272) 2332) 3072):

In Plane Sailing. Dist.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Middle Latitude Sailing. Long.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff. In Mercator Sailing. Long.

Poe a A 5 < . | NXSin. For multiplication of numbers by sines and by cosines, or N INVAGOS zs

solution’of plane right-angled triangles. Hynote; mee eee

TABLE 3. Difference of Latitude and Departure for 37° (148°, 217°, 323°).

“In Plane Sailing.

Lat. Dep. { Dist. Lat. Dep. 288.3 | 217.3] 421 | 336.2 nal 325. 6 289.1 337.0 a) 326.2 289.9 337.8 adh 326.8 290.7 338. 6 .5 327.4 | 291.5 339. 4 AG) 328.0 292.3 340.2 bul 328. 6 f 293.1 341.0 no) 329.2 } 293.9 341.8 Bu 329.8 294.7 342.6 5 330. 4 295.5 343. 4 .3 331.0 296.3 344. 2 pal 331.6 297.1 345.0 of) 332.2 297.9 345.8 pif 332.8 298.7 346. 6 .5 333.4 299.5 347.4 13 334.0 300. 3 348.2 -L 334. 6 301.1 249.0 9 335.2 301.9 349.8 oll 335. 8 302.7 350. 6 5 336. 4 303.5 351.4 .3 337.0 304. 3 352.2 bal 337.6 305. 1 353.0 ng 338. 2 305. 9 353.8 ol 338. 8 306.7 354. 6 .5 339.4 307.5 355. 4 .3 346.0 308. 3 356. 2 sil 340. 6 309. 1 357.0 a9 341.2 309. 9 357.8 ue 341.8 310.7 358. 6 .5 342.4 311.5 359. 4 5G) 343.0 312.3 360. 2 -L 343. 6 313.1 361.0 pf) 344.2 313.9 361.8 ba 344.8 314.7 | 362.6 5 345.4 315.5 363. 4 30) 346.0 316.3 364. 2 nil 346. 6 317.1 365.0 2.9 347.2 317.9 365. 8 BU 347.8 318.7 366. 6 5 348.5 319.5 367.4 3) 349.1 320.3 368. 2 pal 349.7 321.1 369.0 "9 350.3 321.9 369.8 od 350.9 322.6 370.6 .5 351.5 323.4 371.4 Bc) 352.1 324.2 372.2 al! 352.7 325.0 373.0 LY) 353.3 325. 8 373.8 oul 353.9 326.6 374.6 .5 354.5 327.4 375. 4 .3 355.1 328. 2 376.2 gal 355. 7 329.0 377.0 a) 356.3 329.8 377.8 Bo 356. 9 330. 6 378. 6 A) 357.5 331.4 379.4 .3 358.1 332.2 380.2 bl 358.7 333.0 380.9 bY) 359.3 333. 8 381.7 429.7 359.9 334. 6 382.5 430.5 360.5 335.4 383.3 431.3 361.1

Dep. Dep. Lat. | Dist.| Dep. Lat.

For converting Dep. into Diff. Long. and Diff. Long.into Dep: In Middle Latitude Sailing.

} Forconvertin into Diff. Long. and Diff. Long.into Dep. Sala.

In Mercator Sai

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 92] TABLE 3. Difference of Latitude and Departure for 38° (142°, 218°, 322°).

Dep. } Dist.

111.4] 241

PSIG CICISIEH COM CIOS)

FREER SOA Na ABW WMHS OWT TON ROB ODN RMOWNH CON! DOR MWONTOWAH| AON DORAN AO WN COLON DOR TSN OOWNROMON a

DON TNTOH WI TITONW RADON KE AOHMPWUNODHWODONWFADONTIN OM WONTON HOO

ADDON KR ADOWONOH WANTON EA DON ERROHWUNDOHWADONW EAD OWONOM WONTON PADONF OOF HOOWTH PON) DOR DH OOWNTH| PON DOR DOH OUD! WATHRONAORNHOOWNE RONDO

ee)

In Plane Sailing.

For converting Dep: into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

) Tor converting alae Diff. Long. and Diff. Long. into Dep. Diff. } In Mercator Sailing. Long.

| For multiplication of numbers by sines and by cosines, or = NXSin. solution of plane right-angled triangles. J ae GS b pp.

TABLE 3. Difference of Latitude and Departure for 38° (142°, 218°, 322°).

i) oO x

wwrrwbrdbdsr oSeoUunoooe

(sy) i= SI!

ew ww G2 09 GH 09 0 SSSSssosg BN OCCUR OS

52° (128°, 232°, 308°).

In Plane Sailing.

For converting Dep.into Dif’. Long.and Diff. Long.into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long.and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 94] TABLE 8. Difference of Latitude and Departure for 39° (141°, 219°, 321°).

OCULOT OUST OUOV OT OT OT OT HE He HB PNIAAA POONA SSSON

DON PTORPWODWDONKRINOHWIWDONR AN

8 6 3 bal 9 ad 4 2 .0 8 5 3 hal 9 otf 74 2 0 8 5 3 elt 9 bis 4 2 .0 8 25 3 1 9 6 4 .2 0 8

DOH WAIONW PE AOHWAION HAO!

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing. @: f- Z a

For converting RENO if. Long. and Diff. Long. into Dep. In Mercator Sailing. |

For multiplication of numbers by sines and by cosines, or N. NXCos. solution of plane right-angled triangles. ey Doves ren

TABLE 3. Difference of Latitude and Departure for 39° (141°, 219°, 321°).

264.9 265.6 266. 2 266.8 267.5

51° (129°, 231°, 309°).

In Plane Sailing.

For converting Dep.into Diff. Long. and Diff. Long.into Dep. Dif. In Middle Latitude Sailing. Long.

For converting Dep. into Dif’. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. [Page 97

Difference of Latitude and Departure for 40° (140°, 220°, 320°).

Dist.} Lat. Dep. Dist. | Lat. Dep. 301 | 230. 6 232. 1 309. 2] 541 | 414. 4 | 347.7 02 | 231.3 232. 7 309.8] 42 | 415.2 | 348.4 03 | 232.1 233. 3 310.5] 43 | 416.0 | 349.0 04 | 232.9 234. 0 311.1) 44 | 416.7 | 349.7 05 | 233. 6 234. 6 311.84 45 | 417.5 | 350.3 06 | 234. 4 235. 3 312.4] 46 | 418.3 | 351.0 07 | 235. 2 235. 9 313.0] 47 | 419.0 | 351.6 08 | 235. 9 236. 5 313.7] 48 | 419.8 | 352.2 09 | 236. 7 237. 2 314.3] 49 | 420.6 | 352.9 10 } 237.5 237. 8 315.0} 50 | 421.3 | 353.5 311 | 238. 2 238. 5 . 6 422.1 | 354. 2 12 | 239.0 2390 3 422.9 | 354.8 13 | 239.8 239. 8 423.6 | 355.5 14 | 240.5 240. 4 -5 424.4 | 356.1 15 | 241.3 241.0 2 425. 2 | 356.7 16 | 242.1 241.7 8 425.9 | 357. 4 17 | 242.8 242. 3 Bt) 426.7 | 358. 0 18 | 243.6 243. 0 . 1 427.5 | 358.7 19 | 244. 4 243. 6 . 8 428. 2 | 359. 3 20 | 245.1 244.3 .4 429.0 | 360. 0 321 | 245.9 244.9 . 0 429.8 | 360. 6 22 | 246. 7 245. 5 0 430.5 | 361. 2 23 | 247. 4 246. 2 .3 431.3 | 361.9 24 | 248. 2 246. 8 .0 432.0 | 362.5 25 | 249.0 247.5 6 432.8 | 363.2 26 | 249.7 248. 1 Bo) 433. 6 | 363.8 27 | 250.5 248. 8 9 434.3 | 364.5 28 | 251.3 249. 4 5 435. 1 | 365. 1 29 | 252.0 250. 0 12 435.9 | 365. 7 30. | 252. 8 250. 7 8 436.6 | 366: 4 331 | 253. 6 251.3 a) 437.4 | 367.0 32 | 254. 3 252. 0 . 1 438. 2 | 367.7 33 | 255. 1 252. 6 . 8 438.9 | 368.3 34 | 255. 9 253. 3 . 4 439.7 | 369.0 35 | 256. 6 253. 9 .0 440.5 | 369.6 36 | 257. 4 254. 5 S14 441.2 | 370.2 37 | 258. 2 255. 2 3 442.0 | 370.9 38 | 258. 9 250. 8 . 0 442.8 | 371.5 39 | 259. 7 256. 5 . 6 443.5 | 372.2 40 | 260.5 257. 1 2 444.3 | 372.8 341 | 261. 2 257. 8 m9 445.1 | 373.5 42 | 262.0 258. 4 5 445.8 | 374.1 43 | 262.8 259. 0 2 446.6 | 374.7 44 | 263.5 259. 7 Lg 447.4 | 375.4 45 | 264.3 260. 3 .5 448.1 | 376.0 46 | 265.1 261.0 dl 448.9 | 376.7 47 | 265.8 261. 6 bu 449.7 | 377.3 48 | 266.6 262. 3 . 4 450. 4 | 378.0 49 | 267.3 262. 9 . 0 451. 2 | 378.6 50 | 268. 1 263. 5 Wd 452. 0 | 379.2 351 | 268. 9 264. 2 50) 452.7 | 379.9 52 | 269. 6 264. 8 . 0 453.5 | 380.5 53 | 270. 4 265. 5 . 6 454.3 | 381.2 54 | 271.2 266. 1 12 455.0 | 381.8 55 | 271.9 266. 8 ) 455. 8 | 382.5 56 | 272.7 267. 4 5 456. 6 | 383. 1 57 | 273.5 268. 0 2 457. 3 | 383.7 58 | 274. 2 268. 7 . 8 458.1 | 384. 4 59 | 275.0 269. 3 5 458. 9 | 385. 0 60 | 275.8 270. 5 al 459. 6 | 385. 7 Dist. | Dep. Dep. Lat.

In Plane Sailing.

| Forconverting Dep.into Diff. Long.and Diff. Long.into Dep. | In Middle Latitude Soe. uy 2

For converting Dep.into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing. uy ‘i uy ; zn

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

66806°—38——_7

Page 98] TABLE 3. Difference of Latitude and Departure for 41° (139°, 221°, 319°).

ical t=) st

Dist. | Lat.

136. 6 137.4 138. 1 138. 9 139. 6 140. 4 141.1 141.9 142.6 143. 4 144.1 144.9 145.7 146. 4 147.2 147.9 148. 7 149, 4 150. 2 150. 9 151.7 152.5 153. 2 154. 0 154. 7 155.5 156. 2 157.0 157.7

(ooo)

=) HH mo ee

Ht (ro MooMe) NI NI OD O1

DOO | ID HOUR CO OVdIES

‘ wmnmonman WON CON ON CN OD PNT ON PRN ODE DOM EAORMERADHWADHWADRWIIDOWOIwWOW OM Hee coco i=)

H We) ~)

ae olive) ars

SO TOO RST STS IOS OO) OOF SO Cd eet oo No Eee NNN Nee SSoSSSOODOO BNE SSSH A

bbb bp oo0o0o SIO OD Or

*) =) G x < HON AONWAODOWAOWNIOWNORTH| POH EOHUDONTONTNONROWADIWRDOWNOH

128. 129. 129. 1380. 131.

32. 1 132.8 133.6 134.3 135. 1 135. 8

WD OH) WOUDOOWMNMOWOU DON UNTNON UNO NW ONTON ENON PI NOR BROOM ROOF POOR Or Oo

BTOM EPROM EA OCH RADHWADH WADE WUMOWONDOWUNDON UNO UNION UTON BI NON ROR

Re) S a

Dep. | Lat. | Dist.

, 229°, 311°).

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Iu Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or N. NXCos. solution of plane right-angled triangles. Hypote-| Side Side nuse. Adj. Opp.

TABLE 3. Difference of Latitude and Departure for 41° (139°, 221°, 319°).

AOWaOWNIS WTORNE POR BD] OH COON OO NW OO]

(Je) part vee Ne)

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. Diff.

In Mercator Sailing. Long. NxSi

For multiplication of numbers by sines and by cosines, S a

solution of plane right-angled triangles.

Page 100] TABLE 3. Difference of Latitude and Departure for 42° (138°, 222°, 318°).

Dist.} Lat. Dep. =| . b ist. . b ist. . b Lat. Dep.

179.1 } 161.3 179.8 | 161.9 180.6 | 162.6 181.3 | 163.3 182.1 | 163.9 182.8 | 164.6 183.6 | 165.3 184.3 | 165.9 185.0 | 166.6 185.8 | 167.3 186.5 | 168.0 187.3 | 168.6 169.3 170.0 170.6 } 171.3 172.0 172.6 173.3 174.0 174.6 175.3 176.0 176.7 177.3 178.0 178.7 179.3 180. 0 180. 7 181.3 182.0 | 182.7 183. 3 184.0 184. 7 185.3 186. 0 186.7 187. 4 188.0 188. 7 189. 4 190. 0 190. 7 191.4 192.0 192. 7 193. 4 194.0 194. 7 195. 4 196.1 196. 7 197.4 198.1 198. 7 | 199. 4 200. 1 200. 7

OMOWMUTUP be

ee ee ee ee

SRV SSSSSuSSaRESHENES OU bo OTC bO O10 _bD U1 CO OD O10 bY O10 bY O00 CO

“100

et et

bo bo bo

SAR

oro H

0. 1. 2. 3. 3. 4, 5. 5. 6. 7. 8. 8. 9. 0. 1. 1.

6 A. ol ot) 6 3 ol -8 6 3 bal 8 6 .3 -0 8 a) .3 0 8 -5 2 0 be 5 .2 -0 andl 4 2 9 ad 4 2 9 -6 4 bil 9 6 4 pil 8 6

BORON S S150) G0100) 13 'S> CUES CO RO/RO =

‘ 2h cro tied Hien ao Hl CROO ROH ROP ROE ROP ROP RE RSE RE RHR ORNORNORINORNOWNOWN

a “I NS)

H ~I iso) DDD CO 9D] COND DMD OOM ON Or] WO STH bo OTD bY OUD BY] O10 B9 O10 BY OO BY OY G BY OOO Ht OT 00 Ht 100] 4 O10 Ft O10

oo OTOL OO AT OD OU

KE ROONEY ON BION ANON ANOWUDOW UD HWADHWRADH BAO PION ENO WAN ot pt TOT San 09 DO

agora aN DOE co

H ~I > We)

POWRAOWAON AOWAOWAOWAD ON RADON DON RDO NWRBON MON AON

Dep. Lat. ist. bs ist. i Lat.

48° (132°, 228°, 312).

i In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Pee por Ord) if. Long. and Diff. Long.into Dep. In Mercator Sailing.

} For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 3. [Page 101 Difference of Latitude and Departure for 42° (138°, 222°, 318°). Dist. | Lat. Dep. | Dist. | Lat. Lat. Dep. |f 801 | 223.7 | 201.4] 361 | 268.3 357.5 362.0) 02 | 224.4 |} 202.1} 62 | 269.0 358. 2 362.7, 03 | 225.2 | 202.7} 63 | 269.8 358.9 363.3. 04 | 225.9 | 203.4] 64 | 270.5 359. 7 364.0 f 05 | 226.7 | 204.1} 65 | 271. 360.4 364.7 06 | 227.4 |204.8} 66 | 272. 361.2 365.3 | O07 | 228.1 | 205.4] 67 | 272. 361.9 366.0| 08 | 228.9 | 206.1} 68 | 273. 362.7 366. 7; 09 | 229.6 | 206.8] 69 | 274. 363.4 367.4} 10 | 230.4 | 207.4) 70 | 275. 364.1 368.0! 311 | 231.1 | 208.1] 371 | 275. 364.9 368.7) 12 | 231.9 | 208.8] 72 | 276. 365. 6 369.4 13 | 232.6 |209.4) 73 | 277. 366.4 370.0: 14 | 233.3 |210.1] 74 | 277. 367.1 370.7, 15 | 234.1 |210.8) 75 | 278. 367.9 371.4 16 | 234.8 |211.4] 76 | 279. 368. 6 372.0 17 | 235.6 |212.1] 77 | 280. 369.3 372. 7:1 18 | 236.3 |212.8} 78 | 280. 370.1 373.4 | 19 | 237.1 | 213.54 79 | 281. 370.8 374.0) 20 | 237.8 | 214.1 282 371.6 374.7. 321 | 238.5 | 214.8 283. 372.3 375.4: 22 | 239.3 | 215.5 283. 373.1 376.1) 23 | 240.0 | 216.1 284. 373.8 376.7: 24 | 240.8 | 216.8 285. 374.5 377.4 25 | 241.5 | 217.5 286. 375.3 378.1 26 | 242.3 | 218.1 286. 376.0 378.7: 27 | 243.0 | 218.8 287. 376.8 379.4 28 | 243.8 | 219.5 288. 377.5 380.1: 29 | 244.5 | 220.1 289. 378.3 380.7" 30 | 245.2 | 220.8 289. 379.0 381.4: 331 | 246.0 | 221.5 290. 379.7 382.1; 32 | 246.7 | 222.2 291. 380.5 382.7 33 | 247.5 | 222.8 292. 381.2 383. 4:} 34 | 248.2 | 223.5 292. 382.0 384. 1! 35 | 249.0 | 224.2 293. 382.7 384. 8] 36 | 249.7 | 224.8 294. 383.5 385.4 37 | 250.4 | 225.5 295. 384.2 386. 1’ 38 | 251.2 | 226.2 295. 384.9 386.8 39 | 251.9 | 226.8 296. 385.7 387.4. 40 | 252.7 | 227.5 297. 386. 4 388. 1 341 | 2538.4 | 228.2 298. 387.2 388. 8 | 42 | 254.2 | 228.8 298. 387.9 389.4 43 | 254.9 | 229.5 299. 388. 7 390.15} 44 | 255.6 | 230.2 300. 389.4 390.8 45 | 256.4 | 230.9 301. 390. 2 391.4. 46 | 257.1 | 231.5 301. 390.9 392.1 47 | 257.9 | 232.2 302. 391.6 392.8 48 | 258.6 | 232.9 303. 392.4 393.4 49 | 259.4 | 233.5 303. 393.1 394.1) 50 | 260.1 | 234.2 304. 393.9 394.8 | 351 | 260.8 | 234.9 305. 394.6 395.5° 52 | 261.6 | 235.5 306. 395. 4 396.1 53 | 262.3 | 236. 2 306. 396.1 396.8 54 | 263.1 | 236.9 307. 396.8 397.5 55 | 263.8 | 237.5 308. 397.6 398.1 56 | 264.6 | 238.2 309. 398.3 398.8 | 57 | 265.3 | 233.9 309. 399.1 399.5 58 | 266.0 | 239.5} 18 | 310. 399.8 400.1. 59 | 266.8 | 240.2] 19 | 311 400.6 400.8 60 | 267.5 | 240.9} 20 | 312.1 401.3 401.5: Dist. | Dep. Lat. { Dist.| Dep. Dep. Lat.

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep.

In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 102} TABLE 3.

Difference of Latitude and Departure for 43° (187°, 223°, 317°),

.| Lat.

Dep. } Dist. at. Dep, | Dist. | Lat. Dep. | Dist. | Lat. Dep.

SorPANONAT

al ee

oOonwnskrtonwace

sje

88.5 ; 181 | 132.4 | 123. 89.2 3. 39.1 | 124, 90,0 iO. § f 33.8 | 124, 90.7 | 84.6 34,6} 125. 91.4 b 35,3 | 126, 92.2 5. § 3 | 136.0] 126, 92.9 1.6 36.8 | 127. 93.6 94,3, 95.1

— os fom)

NWaAINIOW MDE WD = So

95.8 96.5 97.3 98.0 98.7 99.5

100.2 100.9 101.7 102.4

<=) < 08] COCO DO Or NO O1oO FR

o ve)

WwNaInNOownore

89] (Cd. TO CUO COR | Se PACKS

103.1 103.9 104.6 105.3 106.0 106.8 107.5 108.2 109.0 109.7

on a]

Mwaoe als

110.4 3. 111.2 | 108. 155.0 V1.9 | 104. 13 | 155.8 112.6} 105. 4 | 156.5 113.4 p 157.2 114.1 | 106.4 158.0 114.8 | 107.) 17 | 158.7 115.6 : 159.4 116.3 : 9 | 160.2 117.0} 109.1 160.9

NBDONTMOM) Aor ANION

NTMON AOR SATE PNOWDIOWERS

> Sj] Co a

117.7 | 109. T | 161.6 118.5 | 110. 162.4 119.2} 111. 3 | 163.1 119.9] 111. 163.8 120.7 | 112. 164.6 121.4 | 113. 165.3 122.1] 113. 166.0 | 154, 122.9 | 114. 166.7 | 155. 123.61 115.3 | 29 | 167.5] 156. 124.3] 115.9] 30 | 168.2| 156.

125.1 | 116.6 } 231 | 168.9 | 157. 125.8] 117. < 32 | 169.7 | 158. 126.5 | 118. 33 | 170.4 | 158. 127.3 | 118. ‘ 171.1 | 159. 128.0] 119. ¢ 35 | 171.9) 160. 128.7 | 120. 172.6} 161. 129.4 | 120. 37 | 173.3 | 161. 130.2 | 121. 38 | 174.1 | 162. 130.9 .L] 389 | 174.8 | 163.0 181.6 | 122. 175.5) 163.7

WACWRONWT ONC ROR RY CRAIC WROWASINNONTOMAOMANTOANS

Pa Oo he Sete Ope oo] (ee Ue On nO Oe Goto Croor RN SS} C C © >

<5] WOwADHRAON/ RANSWADH WAS PRION TANOWD OEP RAONSAOCH) TMHOWRBOHMANS

Lat. Dist.

= s

Lat. 4 Dist. | Dep. Lat, { Dist. | Dep. Lat. | Dist.

47° (183°, 227°, 318°).

In Plane Sailing.

~ Por converting Dep. into Diff, Long. and Diff. Long. into Dep. Diff. In Middle Latitude Salling. Long.

In Mereator Salling.

Wor multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles, ee

TABLE 8. Difference of Latitude and Departure for 43° (137°, 223°, 317°).

[Page 103

44 | 324.7

Lat. Dep. | Dist.| Lat. Dep. | Dist.| Lat. 301 | 220.1} 205.3 | 361 | 264.0 | 246.2 | 421 | 307.9 | 287.1 }| 481 | 351.8 02 | 220.9 | 206.0 62 | 264.8 | 246.9 22 | 308.6 | 287.8 82 | 352.5 03 | 221.6] 206.6 63 | 265.5 | 247.6 23 | 309.4] 288.5 83 | 353.2 04 | 222.3] 207.3 64 | 266.2 | 248.2 24 | 310.1} 289.2 84 | 354.0 05 | 223.1 | 208.0 65 | 266.9 | 248.9 25 | 310.8] 289.8 85 | 354.7 06 | 223.8 | 208.7 66 | 267.7 | 249.6 26 | 311.6 | 290.5 86 | 355.4 07 | 224.5 | 209.4 67 | 268.4 | 250.3 27 | 312.3) 291.2 87 | 356.2 08 | 225.3; 210.1 68 | 269.1 | 251.0 28 | 313.0 | 291.9 88 | 356.9 09 | 226.0} 210.7 69 | 269.9 | 251.7 29 | 313.8] 292.6 89 | 357.6 10 | 226.7 | 211.4 70 | 270.6 | 252.3 30 | 314.5] 293.3 90 | 358.4 311 | 227.5) 212.1 | 371 | 271.3 | 253.0 | 4381 | 315.2 | 293.9 | 491 | 359.1 12 | 228.2 | 212.8 72 | 272.1 | 253.7 32 | 315.9 | 294.6 92 | 359.8 13 | 228.9} 213.5 73 | 272.8 | 254.4 33 | 316.7 | 295.3 93 | 360.6 14 | 229.6) 214.1 74 | 273.5 | 255.1 34 | 317.4] 296.0 94 | 361.3 15 | 230.4} 214.8 75 | 274.3 | 255.7 35 | 318.1 | 296.7 95 | 362.0 16 | 231.1] 215.5 76 | 275.0 | 256.4 36 | 318.9 17 | 231.8 | 216.2 77 | 275.7 | 257.1 37 | 319.6 18 | 232.6} 216.9 78 | 276.5 | 257.8 38 | 320.3 19 | 233.3) 217.6 79 | 277.2 | 258.5 39 | 321.1 20 | 234.0) 218.2 80 | 277.9 | 259.2 40 | 321.8 321 | 234.8] 218.9 | 381 | 278.6 | 259.8 | 441 | 322.5 22 | 235.5| 219.6 82 | 279.4 | 260.5 42 | 323.3 23 | 236.2 | 220.3 83 | 280.1 | 261.2 43 | 324.0 9 6

f : : ; 45 | 325.5 26 | 238.4] 222.3] 86 | 282.3 | 263.3] 46 | 326.2 27 | 239.2 | 223.0 § 87 | 283.0) 263.9 }| 47 | 326.9 28 | 239.9] 223.7 | 88 | 283.8] 264.6 | 48 | 327.6 29 | 240.6] 224.4 | 89 | 284.5) 265.3] 49 | 328.4 80 | 241.3 | 225.1} 90 | 285.2 | 266.0 | 50 | 329.1

331 | 242.1 | 225.7 } 391 | 286.0 | 266.7 | 451 | 329.9 32 | 242.8| 226.4 | 92 | 286.7 | 267.3 | 52 | 330.6 33 | 243.5] 227.1 | 93 | 287.4] 268.0} 53 | 331.3 34 | 244.3 | 227.8] 94 | 288.2} 268.7 | 54 | 332.0 35 | 245.0 | 228.5 | 95 | 288.9} 269.4 | 55 | 332.8 36 | 245.7 | 229.2 | 96 | 289.6} 270.1} 56 | 333.5 37 | 246.5 | 229.8} 97 | 290.3 | 270.8} 57 | 334.2 88 | 247.2] 230.5 7 98 | 291.1} 271.4 | 58 | 335.0 39 | 247.9) 231.2 | 99 | 291.8] 272.1] 59 | 335.7 40 | 248.7 | 231.9 | 400 | 292.5] 272.8 | 60 | 336.4

341 | 249.4| 232.6 | 401 | 293.3) 273.5 | 461 | 337.2 42, | 250.1} 233.2 | 02 | 294.0] 274.2 | 62 | 337.9 43 | 250.9 | 233.9 | 03 | 294.7 | 274.8 | 63 | 338.6 44 | 251.6} 234.6} 04 | 295.5| 275.5 | 64 | 339.3 45 | 252.3] 235.3 | 05 | 296.2 | 276.2 | 65 | 340.1 46 | 253.0] 236.0 | 06 | 296.9| 276.9 | 66 | 340.8 47 | 253.8] 236.7 | 07 | 297.7 | 277.6 | 67 | 341.5 48 | 254.5] 237.3 | 08 | 298.4] 278.3 | 68 | 342.3 49 | 255.2} 238.0} 09 | 299.1 | 278.9] 69 | 343.0 50 | 256.0| 238.7 | 10 | 299.9] 279.6 | 70 | 343.7

351 | 256.7 | 239.4 | 411 | 300.6 | 280.3 | 471 | 344.5 52 | 257.4| 240.1} 12 | 301.3} 281.0] 72 | 345.2 53 }258.2| 240.9% 13 | 302.0! 281.7 | 73 1345.9 54 | 258.9| 241.4 | - 14 | 302.8| 282.3 | 74 | 346.7 55 | 259.6| 242.1 | 15 | 303.5] 283.0 | 75 | 347.4 56 | 260.4| 242.8 | 16 | 304.3| 283.7 | 76 | 348.1 57 | 261.1] 243.5 | 17 | 305.0| 284.4 | 77 | 348.9 58 | 261.8] 244.2 | 18 | 305.7) 285.1} 78 | 349.6 59 | 262.6] 244.8 | 19 | 306.4} 285.8 | 79 | 350.3 60 | 263.3 | 245.5 | 20 | 307.2| 286.4 | 80 | 351.0

Dist. | Dep. Lat. { Dist. | Dep. Lat. | Dist. | Dep.

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

_For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

N. -Hypote= nuse.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 104] TABLE 3. Difference of Latitude and Departure for 44° (136°, 224°, 316°).

Lat. Dep. | Dist. . Dep. 5 q Dep. | Dist. Lat. | Dep. Dist.

nS bo He

130. 2 | 125.7 130.9

131. 132. 133. 133. 134. 135. 136. 136. 137. 138. 138. 139. 140. 141. 141. 142. 148. 143. 144. 145. 146. 146. 147. 148. 148. 149. 150. 151. 151. 152. 153. 153. 154. 155. 156. 156. 157. 158. 159. 159. 160.

7 NINN Pe OO

ars

DOO DAH OUP hoo doNy eS

TOW RON TOM PINOWRAOWAON AWD PIOWRONWUOHODHE PTOWRD ONTO ENOWA| OW DONO RAT NENOWD) Or PNTON OC

Beet NN POS O ONAN HAT WLW HS

NETOWRADWE BRAN ON TOE RIO NW TY DH WRONWTINOW DOM RACWODH PION TOE EHOW UDMDOWNDON PAT

or D2 D> D2 o> oOVee

C a >t sie M8 BTOW DON OOH PTOWDON TON! NOH RITOW DON! TLOHMENTORTOW DON TOE PNTOW DON TONAAOH WAROWRON TUDO HEH SNOW AONW UD HOUDHENIOWRADONTDHPNOWADIWRHON NOH PIO] WOON O10

AONWAMDOW|ON PNOWAOM PIO WOO BPITONW TDI HWRONAINOWA ORM RNOW AOFM FH) NON OOH BOD

PON KSTOWMDO EH PIOW OTOH HAN ONTDHWRONTTOWRAORBRIOW CIO RN ON CLOr) PQOb TOWRON DONDE PNIODWRAON OOH EPMOR WOW RD ON TIOHEPMTOW AION TION OOH BT

Sj on (=)

Lat.

In Plane Sailing.

Forconverting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

TABLE 8. [Page 105

Difference of Latitude and Departure for 44° (136°, 224°, 316°). Lat.

dow

Dd HSS

iss) NOVO (ss) t

wow co HOT or or or CO OND S

DNonmwnwwbd INS

EP GIGNE wo

DD yee

joo lor Kor) NSGNSS

OE BNTIOWOORM EIN ON OOH AO oOrblor

2 G2 Oo DD HON

bobs oO CO SS) loner) Nolice}

SORE

ive) (or) We}

Now [9 <ie 2) we OO (Je) “I i=)

our wo Pai =

(Je) “I >

bpp INS © <O 00

DOW ONWOH PNOW DOWD ON UME RWOWRIONOMOH AVE AY CWARONW TOHRU OWRoNaowa

AOE RNS WOOP ETON ODIHWRONUNOWR

In Plane Sailing. ;

For converting Dep.into Diff. Hong and Diff. Long.into Dep. In Middle Latitude Sailing

Forconverting Dep.into Diff. Long. and Diff. Long.into Dep. Tn Mercator Sailing.

For multiplication of numbers by sines and by cosines, or

solution of plane right-angled triangles. Hypote:

Side Adj.

Page 106] TABLE 38.

ie] Me B

B Es

Difference of Latitude and Departure for 45° (135°, 225°, 315°).

real =) 5 ral 2 ct

Dep.

CONDOR Ne

ARE Dp bik Cote CUES COC, ERAT Ow oH

TESORO SSCS ICONIC OU HS OO/RS) BO) EH RIDWRAON TAH RIONMON AN

0] DOOD OOOO DO) 8 SPIO POU FO SSO SI CIN SIDS AN OWRONUMOWD) ©

WHWOHWWWWNN Pwhwnwnhrbr TERPS ER SSO ON SS TAS

Heid Bd oo Go G9 69 69 69 SE PN

9 3

BOON MOR ARIS WAONUNS

RPTOWADON COR

0. 1. 2. 2. 3. 4. 4. 5. 6. 7. 7. 8. 9. 9. 0. il. 2. 2. 3. 4. 4. 5. 6. fe ite 8. 9. 9. 0. 1. alg 2. 3. 4. 4, 5. 6. 6. Me 8. 9. 9: 0. 1. ats 2. 3. 3. 4., 5.

POWON TOE RIS) WAONUNTOWAONWCOHRTIOWADHARTIOWRAONOOH RAMON OOH AA

ul 1 1 1 1 1 1 1 1 u 1 1 1 1 2 2 2 2! 2 2: 2: 2 2 2 2 2 2 2 3 3 3 3 3: 3 3 3

BARBSSewwn BOS re SSSI CDOS RNOWMON OOH

In Plane Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Middle Latitude Sailing.

For converting Dep. into Diff. Long. and Diff. Long. into Dep. In Mercator Sailing.

For multiplication of numbers by sines and by cosines, solution of plane right-angled triangles.

TABLE 3. [Page 107 Difference of Latitude and Departure for 45° (135°, 225°, 315°).

DOH RISOWRON| COP RWON OOH

In Plane Sailing.

For converting Dep. into Dif’. Long. and Diff. Long. into Dep. In Middle Latitude Sone: wy Y 2

For converting Dep. into Diff. Long. and Diff. Long.into Dep. In Mercator Sailing.

NxCos. | NxSin. Side Side Adj. Opp.

For multiplication of numbers by sines and by cosines, or solution of plane right-angled triangles.

Page 108]

TABLE 4.

Conversion of Departure into Difference of Longitude.

Middle Latitude

Dep.| 4° 6° 8° 10° | 11° | 12° | 13° | 14° 15° 16° 17° 18° 19° | Dep. D. Lo.| D. Lo. | D. Lo. | D. Lo. | D. Lo.| D. Lo. | D. Lo.| D.Lo.| D.Lo. | D.Lo. | D.Lo. | D.Lo. | D. Lo. | 1 1.0) 1.0} 1.0) 1.0) 1.0} 1.0) 1.0) 1.0 1.0 1.0 1.0 1.1 11 1 2 250) 2.0) 250) 2:0) 250) 250) 26a 201 2.1 2.1 2.1 Zp Al 2.1 2 3 a Or By Q) S$ Qi eka) Sh ay) Shall Bh aly Sh al 3. 1 3.1 3. 1 3. 2 3. 2 3 4 4.0} 4.0) 40) 41) 41) 41) 41) 41 4.1 4.2 4.2 4.2 4.2 4 5 RO E50) Or Gal) Ball) Syl) Soil) G2 5. 2 5.2 5. 2 5. 3 5. 3 5 6 6.0) 6.0) 6.1) 6.1) 61) 61) 62) 6.2 6. 2 6. 2 6. 3 6. 3 6. 3 6 a GO) 7) Gall ce PO SCA eA 7.2 7.3 7.3 7.4 7.4 7 8 8.0) 80) 8&1) 8&1) 8&2) 82) 82) 8.2 8.3 8.3 8. 4 8.4 8.5 8 9 9.0} 9.0) 9.1] 9.1) 9.2) 9.2) 9.2) 9.3 9.3 9. 4 9. 4 9.5 9.5 9 10 | 10. 0} 10. 1] 10. 1} 10. 2] 10. 2} 10. 2} 10. 3} 10.3} 10.4) 10.4} 10.5) 10.5) 10.6} 10 LL |S) | TT RR Ta YT) TS) PS) a as Gale Gs) a 1122-|} 122, 1192, TM) eA IGA OH Te OA IPS ey TIP SE Ie a I 2 Ip Gt) I ay 1, GQ I a) 13 | 13. 0] 13. 1) 13. 1) 13. 2] 13. 2) 13. 3) 13. 3) 18.4) 13.5) 13.5) 18.6} 13.7) 13.7) 138 14 | 14.0) 14.1] 14.1} 14. 2] 14. 3] 14. 3] 14.4) 14.4) 14 5) 14.6] 14.6) 14.7) 14.8) 14 15 | 15.0} 15. 1] 15. 1] 15. 2} 15. 3) 15. 3] 15. 4) 15.5) 15.5) 15.6) 15.7) 15.8) 15.9) 15 16 | 16. 0] 16. 1] 16. 2} 16. 2} 16. 3] 16. 4] 16. 4] 16.5} 16.6) 16.6] 16.7) 16.8} 16.9) 16 Wee |) a6 ©) eel) ee A ie S}) Tesi alee Aa) ale ie) eG) alee Ay ale Gy ee) US al’ 18 | 18. 0] 18. 1] 18. 2} 18. 3) 18. 3] 18. 4) 18. 5) 18.6) 18.6) 18.7} 18.8) 18.9) 19.0) 18 19 | 19. 0] 19. 1] 19. 2} 19. 3] 19. 4] 19. 4) 19. 5) 19.6) 19.7) 19.8} 19.9) 20.0} 20.1) 19 20 } 20. 0} 20. 1) 20. 2] 20. 3] 20. 4) 20. 4) 20. 5} 20.6] 20.7) 20.8) 20.9) 21.0) 21.2) 20 21 Diet DE DD OTS DPA OTR DTG | DENG 17 eS | | 22) 22) 122) 12222] 22013] 2254/2965] 22) 622.07) 2258) 9225 91 2350) 2385 ll 23naleeee 23 | 23. 1] 23. 1| 23. 2] 23. 4] 23. 4) 23. 5) 23. 6] 23. 7) 23.8) 24.0) 24.1) 24.2) 24.3) 23 24 | 24.1) 24.1) 24. 2) 24. 4) 24. 4) 24.5) 24. 6] 24.7) 24.8) 25.0) 25.1) 25.2) 25.4) 24 25 | 25.1] 25. 1] 25. 2} 25. 4) 25. 5) 25. 6) 25. 7) 25. 8) 25.9) 26.0] 26.1) 26.3} 26.4) 25 26 | 26. 1] 26. 1] 26. 3) 26. 4] 26. 5) 26. 6] 26. 7} 26.8) 26.9) 27.1) 27.2] 27.3) 27.5} 26 27 | 27. 1) 27. 1| 27. 3) 27. 4] 27. 5| 27. 6) 27. 7) 27.8) 28.0} 28.1) 28.2) 28.4) 28.6) 27 28 | 28. 1] 28. 2| 28. 3] 28. 4] 28. 5) 28. 6] 28. 7] 28.9] 29.0) 29.2) 29.3] 29.4) 29.6] 28 29 | 29. 1] 29. 2} 29. 3] 29. 4] 29. 5} 29. 6] 29. 8) 29.9] 30.0) 30.2} 30.3) 30.5) 30.7) 29 f 30 | 30. 1] 30. 2} 30. 3) 30. 5] 30. 6} 80. 7| 30. 8) 30.9] 31.1) 31.2) 31.4) 31.5) 31.7) 30 81 | 30 1/81) 2) 31. 3) 35) 81. 6! 81. 7) 31. 8) 31. 9) 32) 1) 932.2) 3254) 3256/9 93258) 383i 82 | 32. 1] 32. 2} 32. 3] 32. 5] 32. 6) 32. 7) 32. 8] 33.0] 33.1) 33.3] 33.4) 33.6) 33.8] 32 33 | 33. 1] 33. 2} 33. 3! 33. 5) 33. 6] 33. 7] 33. 9} 34.0} 34.2) 34.3] 34.5) 34.7) 34.9) 33 84 | 34. 1] 34. 2} 34. 3] 34. 5] 34. 6) 34. 8) 34.9) 35.0] 35.2) 35.4] 35.6) 35.7) 36.0) 34 835 | 35. 1] 35. 2} 35. 3] 35. 5) 35. 7) 35. 8} 35. 9] 86.1] 36.2) 36.4] 36.6) 36.8) 37.0] 35] 36 | 36. 1] 36. 2| 36. 4] 36. 6] 36. 7) 36. 8] 36. 9] 37.1] 37.3] 37.5) 37.6) 37.9) 38.1) 36 37 | 37. 1] 37. 2| 37. 4! 37. 6| 37. 7| 37. 8] 38.0) 38.1] 38 3] 38.5) 38.7] 38.9] 39.1] 37 38 | 38. 1] 38. 2] 38. 4] 38. 6] 38. 7] 38. 8] 39. 0] 39.2) 39.3] 39.5) 39.7) 40.0} 40.2) 38 39 | 39. 1] 39. 2} 39. 4| 39. 6] 39. 7] 39. 9} 40. 0) 40.2) 40.4) 40.6} 40.8) 41.0} 41.2) 39 40 | 40. 1] 40. 2} 40. 4] 40. 6} 40. 7] 40. 9] 41. 1] 41.2] 41.4) 41.6) 41.8) 42.1) 42.3) 40 41 | 41. 1| 41. 2) 41. 4) 41. 6] 41. 8] 41. 9) 42.1) 42.3) 42.4) 42.7) 42.9) 43.1) 43.4) 41 42 | 42. 1| 42. 2] 42. 4] 42. 6] 42. 8] 42. 9) 43. 1] 438.3] 43.5) 48.7) 43.9) 44.2) 44.4) 42 43 | 43. 1] 43. 2| 43. 4] 43. 7] 48. 8] 44. 0] 44.1] 44.3] 44.5) 44.7) 45.0] 45.2) 45.5) 43 44 | 44. 1| 44. 2] 44. 4] 44. 7] 44. 8) 45. 0] 45. 2] 45. 3] 45.6] 45.8) 46.0] 46.3) 46.5) 44 45 | 45. 1| 45. 2| 45. 4] 45. 7] 45. 8] 46. 0] 46. 2] 46.4] 46.6) 46.8) 47.1] 47.3) 47.6) 45 46 | 46. 1| 46. 3] 46. 5| 46. 7] 46. 9] 47. 0] 47. 2) 47.4) 47.6] 47.9) 48.1) 48.4) 48.7) 46 47 | 47. 1| 47. 3) 47. 5| 47. 7] 47. 9] 48. 1] 48. 2] 48.4] 48.7] 48.9) 49.1] 49.4) 49.7) 47 48 | 48. 1] 48. 3] 48. 5} 48. 7] 48. 9] 49. 1] 49.3) 49.5} 49.7) 49.9) 50.2) 50.5} 50.8) 48 49 | 49. 1] 49. 3] 49. 5} 49. 8] 49. 9] 50. 1] 50. 3) 50.5} 50.7) 51.0) 51.2) 51.5) 51.8) 49 50 | 50. 1] 50. 3] 50. 5} 50. 8) 50. 9} 51. 1] 51. 3) 51.5} 51.8) 52.0) 52.3) 52.6) 52.9) 50 51 | 51. 1] 51. 3) 51. 5) 51. 8] 52. 0] 52. 1] 52.3) 52.6) 52.8) 53.1) 53.3) 53.6) 53.9) 51 52 | 52. 1] 52. 3] 52. 5} 52. 8] 53. 0] 53. 2) 53.4) 58.6) 53.8) 54.1) 54.4) 54.7) 55.0) 52 53 | 53. 1] 53. 3] 53. 5] 53. 8] 54. 0] 54. 2) 54. 4) 54.6) 54.9) 55.1) 55.4) 55.7) 56.1) 53 54 | 54. 1] 54. 3] 54. 5] 54. 8] 55.0] 55. 2) 55.4) 55.7] 55.9) 56.2) 56.5) 56.8) 57.1) 54 55 | 55. 1] 55. 3] 55. 5] 55. 8] 56. 0] 56.2) 56. 4) 56.7) 56.9) 57.2) 57.5) 57.8] 58.2) 55 56 | 56. 1] 56. 3] 56. 6] 56. 9| 57. 1] 57. 2) 57. 5) 57.7) 58.0] 58.3) 58.6) 58.9] 59.2) 56 57 | 57. 1] 57. 3] 57. 6] 57. 9] 58.1] 58. 3) 58.5) 58.7; 59.0) 59.3) 59.6) 59.9) 60.3) 57 58 | 58. 1] 58. 3] 58. 6] 58. 9] 59. 1] 59. 3] 59. 5} 59.8} 60.0} 60.3] 60.7) 61.0) 61.3] 58 59 | 59. 1] 59. 3] 59. 6] 59. 9] 60. 1] 60. 3] 60. 6] 60.8] 61.1) 61.4) 61.7) 62.0] 62.4) 59 60 | 60. 1] 60. 3| 60. 6} 60. 9} 61. 1] 61. 3] 61. 6] 61.8) 62.1) 62.4) 62.7) 63.1) 63.5) 60

TABLE 4. [Page 109 Conversion of Departure into Difference of Longitude. Middle Latitude. PAND | PATO TW BPP |) PEP PPO BES We PTRO POW Ps30 29° 30° 31° 32° | Dep. D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo.| D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. 1 Tay) ay) ae Ne ay) al a ale ayy al ay al al li 1.1 1.2 1.2 1.2 1 2 2 QT 2825 Qe 252) 2521) 3252522 2.3 2.3 2.3 2.3 2. 4 2 3 3.2) 3.2) 3.2) 3.3) 3.3) 3.3) 3.3) 3.4) 3.4] 3.4 3.5 3.5 3.5 3 4 4.3} 4.3) 4.3) 4.3) 4.4, 4.4) 4.5) 4.5 4.5 4.6 4.6 4.7 4.7 4 5 5.3) 5.4] 5.4] 5.4) 5.5) 5.5) 5.6) 5.6) 5.7) 5.7) 5.8) 5.8 5.9] 5 6 6.4) 6.4) 6.5) 6.5) 6.6) 6.6) 6.7) 67) 68) 69) 69 GO| wi 6 "i 7.4, 7.5) 7.5) 7.6) 7.7) 7.7] 7.8) 7.9) 7.9) 8&0) 8&1 8. 2 8.3 7 8 8.5} 8.6] 86) 8 7} 8&8 8&8) 89) 9.0) 9<.1 9.1 9. 2 9.3) 9.41 8 9 9.6} 9.6] 9.7) 9.8) 9.9} 9.9] 10.0) 10.1} 10.2) 10.3] 10.4) 10.5) 10.6 9 10. 6] 10. 7) 10. 8} 10. 9} 10. 9) 11. 0} 11. 1) 11.2) 11.3) 11.4) 11.5) 11.7) 11.8] 10 11. 7) 11. 8} 11. 9) 12.0} 12.0) 12. 1] 12. 2) 12.3) 12.5) 12.6) 12.7) 12.8) 13.0) 11 12. 8) 12. 9} 12. 9) 13. 0] 13. 1) 13. 2} 13. 4) 13.5} 13.6} 13.7) 13.9) 14.0) 14.2) 12 13. 8} 13. 9} 14.0) 14. 1) 14. 2) 14. 3] 14. 5) 14.6} 14.7) 14.9) 15.0) 15.2) 15.3) 13 14. 9) 15. 0} 15. 1) 15. 2) 15. 3) 15. 4) 15. 6) 15.7} 15.9) 16.0) 16.2) 16.3) 16.5) 14 16. 0} 16. 1] 16. 2} 16. 3) 16. 4) 16. 6] 16.7) 16.8) 17.0) 17.1) 17.3) 17.5) 17.7) 15 | 17. 0} 17. 1) 17. 3) 17. 4) 17. 5) 17. 7) 17.8) 38.0) 18.1) 18.3) 18.5] 18.7) 18.9) 16 18. 1) 18. 2} 18. 3) 18. 5} 18. 6) 18. 8} 18.9) 19.1} 19.3} 19.4) 19.6) 19.8) 20.0) 17 19. 2} 19. 3} 19. 4; 19. 6} 19. 7) 19. 9} 20. 0] 20. 2} 20.4) 20.6) 20.8) 21.0) 21.2) 18 20. 2) 20. 4) 20. 5} 20. 6) 20. 8) 21.0) 21.1) 21.3) 21.5) 21.7) 21.9] 22.2) 22.4) 19 21. 3) 21. 4) 21. 6) 21. 7) 21. 9) 22. 1) 22.3) 22.5) 22.7) 22.9) 23.1] 23.3) 23.6] 20 22. 3) 22. 5) 22. 7) 22. 8] 23. 0] 23. 2) 23. 4) 23.6) 23.8] 24.0) 24.2) 24.5) 24.81 aT 23. 4| 23. 6) 28. 7) 23. 9] 24. 1] 24. 3) 24. 5) 24.7) 24.9] 25.2) 25.4) 25.7] 25.9) 22 24. 5| 24. 6) 24. 8} 25. 0) 25. 2) 25. 4) 25. 6] 25.8) 26.0) 26.3) 26.6) 26.8] 27.1] 23 25. 5) 25. 7| 25. 9} 26. 1| 26. 3] 26. 5] 26. 7] 26.9] 27.2) 27.4] 27.7) 28.0] 28.3] 24 26. 6] 26. 8} 26. 9] 27. 2} 27. 4) 27. 6} 27. 8] 28.0} 28.3) 28.6) 28.9] 29.2) 29.5) 25 27. 7| 27. 8} 28.0] 28. 2} 28. 5] 28. 7) 28. 9} 29.1) 29.4! 29.7) 30.0} 30.3) 30.7] 26 28. 7| 28. 9] 29. 1) 29. 3] 29. 6] 29. 8) 30. 0} 30.3) 30.6] 30.9) 31.2) 31.5] 31.8] 27 29. 8} 30. 0} 30. 2} 30. 4] 30. 6] 30. 9] 31. 2) 31.4) 31.7) 32.0) 32.3] 32.7) 33.0] 28 30. 9} 31. 1} 31. 3] 31. 5) 31. 7] 32. 0} 32. 3) 32.5) 32.8) 33.2] 33.5) 33.8] 34.2) 29 31. 9} 32. 1) 32. 4] 32. 6} 32. 8] 33. 1] 33.4] 33.7) 34.0) 34.3] 34.6) 35.0] 35.41 30 33. 0) 33. 2| 33. 4) 33. 7] 33. 9) 34. 2) 34. 5) 34.8) 35.1) 35.4] 35.8] 36.2! 36.6] 31 34. 1) 34. 3] 34. 5] 34. 8) 35. 1] 35. 3] 35. 6] 35.9) 36.2) 36.6] 37.0) 37.3) 37.7) 32 35. 1] 35. 3] 35. 6] 35. 9] 36. 2} 36. 4] 36. 7] 37.0} 37.4) 37.7] 38.1! 38.5) 38.9] 33 36. 2] 36. 4] 36. 7] 36. 9] 37. 3] 37. 5) 37. 8} 38.1] 38.5) 38.9] 39.3! 39.7] 40.1] 34 37. 2| 37. 5] 37. 7) 38. 0} 38. 4] 38. 6} 38. 9] 39.2} 39.6) 40.0] 40.4! 40.8] 41.3] 35 38. 3} 38. 6] 38. 8} 39. 1] 39. 5} 39. 7) 40. 1] 40.4) 40.8) 41.2) 41.6) 42.0] 42.5) 36 39. 4) 39. 6] 39. 9} 40. 2) 40. 6} 40. 8) 41. 2} 41.5) 41.9) 42.3) 42.7) 43.2] 43.6) 37 40. 4| 40. 7| 41. 0} 41. 3) 41. 7) 41. 9) 42. 3] 42.6) 43.0) 438.4) 48.9) 44.3] 44.8) 38 41. 5| 41. 8} 42. 1) 42. 4) 42. 8) 43. 0] 43. 4) 43.8) 44.2) 44.6) 45.0] 45.5) 46.0] 39 42. 6} 42. 8] 43. 1) 43. 5) 43. 8) 44. 1] 44. 5] 44.9) 45.3) 45.7) 46.2) 46.7) 47.2) 40 43. 6| 43. 9) 44. 2) 44. 5) 44. 9] 45. 2) 45. 6} 46.0) 46.4) 46.9) 47.3) 47.8) 48.3) 41 44. 7) 45. 0) 45. 3) 45. 6} 46. 0} 46. 3) 46. 7) 47.1} 47.6) 48.0] 48.5} 49.0) 49.5) 42 45. 8| 46. 1] 46. 4] 46. 7] 47. 1] 47. 4) 47. 8] 48.3) 48. 7| 49.2} 49.7) 50.2) 50.7] 43 46. 8] 47. 1) 47. 5} 47. 8] 48. 2) 48. 5) 49.0] 49.4) 49.8) 50.3] 50.8) 51.3) 51.9) 44 47. 9| 48. 2] 48. 5) 48. 9] 49. 3) 49. 7) 50.1) 50.5) 51.0) 51.5) 52.0) 52.5) 53.1) 45 49. 0} 49. 3} 49. 6) 50. 0) 50. 4) 50. 8} 51. 2) 51.6} 52.1) 52.6) 53.1] 53.7) 54.2) 46 50. 0} 50. 3) 50. 7} 51. 1) 51. 4] 51. 9} 52. 3) 52.7) 53.2) 53.7) 54.3) 54.8) 55.4] 47 51. 1) 51. 4) 51. 8} 52. 1) 52. 5) 52. 9) 53.4) 53.9) 54.4) 54.9) 55.4! 56.0) 56.6] 48 52. 1} 52. 5) 52. 8} 53. 2) 53. 6] 54. 0} 54. 5) 55.0} 55.5} 56.0} 56.6) 57.2) 57.8] 49 53. 2) 53. 6} 53. 9) 54. 3) 54. 7) 55. 2) 55. 6) 56.1) 56.6) 57.2) 57.7) 58.3] 59.0] 50 54. 3} 54. 6) 55. 0} 55. 4) 55. 8] 56. 3] 56. 7) 57.2) 57.8) 58.3] 58.9) 59.5) 60.1) 51 55. 3} 55. 7) 56. 1] 56. 5) 56. 9] 57. 4) 57. 9) 58.4] 58.9) 59.5) 60.0) 60.7} 61.3] 52 56. 4] 56. 8) 57. 2} 57. 6) 58. 0) 58. 5} 59. 0} 59. 5} 60.0) 60.6] 61.2) 61.8) 62.5) 53 57. 5) 57. 8} 58. 2) 58. 7) 59. 1] 59. 6] 60. 1} 60.6} 61.2) 61.8) 62.4) 63.0) 63.7) 54 58. 5} 58. 9) 59. 3] 59. 8) 60. 2] 60. 7) 61. 2) 61. 7] 62.3) 62.9) 63.5) 64.2! 64.9) 55 | 59. 6} 60. 0} 60. 4! 60. 8} 61. 3] 61. 8} 62. 3) 62.9} 63.4) 64.0] 64.7) 65.3] 66.0] 56 60. 7] 61. 1] 61. 5] 61. 9} 62. 4} 62. 9] 63. 4] 64.0} 64.6) 65.2! 65.8] 66.5) 67.2] 57 61. 7| 62. 1} 62. 6) 63. 0} 63. 5| 64. 0) 64. 5) 65.1) 65.7} 66.3) 67.0) 67.7) 68.4] 58 62. 8} 63. 2) 63. 6] 64. 1] 64. 6] 65. 1} 65. 6) 66.2) 66.8) 67.5) 68.1) 68.8] 69.6] 59 63. 9} 64. 3} 64. 7] 65. 2] 65. 7} 66. 2] 66. 8) 67.3) 68.0} 68.6) 69.3] 70.0} 70.8] 60

Page 110] TABLE 4.

Conversion of Departure into Difference of Longitude.

Middle Latitude.

— ,

| Dep.| 33° | 34° | 35° | 36° | 37° | 38° | 39° |39°307 40° 30’| 41° |41°30’| Dep.

D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. - Lo. | D. Lo. | D. Lo. | D. Lo.

o is oS 2

SOON RW LY

PNONOWHONONWHONWEONOINODMDRAERNODWDABINOWDRMAENONATWIHONMWHONWIHOMRNOWDOHN COON WHR

OCONOORWNR

.2 4 . 6 8 0 2 3 5 bo > 9) hdl 3 . bo o® el . 3 5 . 6 5. 8 . 0 . 2 Al a . 6 . 8 .0 . 2 . 4 . 6 . 8 .0 . 2 . 3 . 5 otf 9 Al 3 . 5 oh . 9 ba .3 an) ba .8 . O 2 . 4 . 6 . 8 . O 2 4 5. 6 tl . 0 . 2 . 4 a8)

TG Sakic ms ied Gres S NCa NO ts cme ce Ro Sed ON ied] TROT Siem IO NOs cuca SaaS Oaas OCIS SE AO CE Nes AN SSI i Gera ION tI Oi OTS SI I cates ena perce ss et ous FODDER OMDPH OO PH ODWHWORAWIHWRAWHWORDWEHWAWEWORDWHAMWIOWDUWOWOUWOWUIWOMMUWOMMD RS ee rica Te IST Sues (ESS GTR tee cS CEST TST mm ees Re SES TE VESPER SOc licencia Oe ken ao Taal aC eaIOS eI Oca eae eyeafel eacncoe nest Acoees DAVOAWOMTH HI OAWOAWONEMIOHAWONHHONNIOSAWVOSONRHOTVCARHOUNOGAWONRODRNOOY WON RH WUNOAWONKONRH OOINOAWONER HE DOINOONOAWONE MOUNODWOUE ETRE OUNODD ODWORWON HHO MHOMHOUNC IOWONE ETA OlINOMNOSANOAWONRON EH OOINMOANOUNODRW ERE OT CIE COCA NOSIS ISDE IESE ESE NOator Cer Oa oaoce Bal Or acano ors on caen doen ACNE fot 00 67 00 C7 00 Or GO Ht 00 O71 00 G71 AT HS FO HOT OT OO | ATA OO ATI ATI ATO TOD OAT ONO MWONTED

TABLE 4. [Page 111 Conversion of Departure into Difference of Longitude. Middle Latitude.

42°30’| 43° |43°30’| 44° |44°30’| 45° | 45°30’| 46° | 46°30’| 47° | 47°30’) Dep.|

is) ® LS)

o wa °

-| D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. {| D. Lo. | D . | D. Lo.

- Lo il, 2. 4. 5 7

SOewmnOEnpwpe OWNS AhwWNH

Be eee OONIOO-F Whr

SCIWOMDNWAEENWOONOUFWALOINWOONODOHNS ATWO IMO NANTWOREIWOKRIOONDEOONWSE

RONWORAWORANIORE DOH UIPRONINOMNOMUNANH|NIPODWOODNOTFROARHENRODWOIONDOHENRONW NMEODNOBRHPUIWIOCODNOMNHIWODINDERODWOMNHOPODNOMNHNIWOIONOEENWOANIDEOONOOH NS OCRODNWODEROMNHUIWOMNHONDROIANNWOUNHENWHORPOMDNWEOMENWOMNOANDHRODRENWOMTHENNOP POONNWOWO RIO THIN DOWOMNOIOENWOROMHAINNTWOROMHENNIDERONOAONNWHOROTrFONWDWOK

RODNDAMHITWOLNHEH TROON WDEROIDNDROMDNDEHIIWOMHDWORODNIDROONOTHENWIOMNHENWOANMAH NNDOPOMTH NNO ROUONNNOEROOUHRNNOROTH INI OROMHE NNO OIDNNWORODENWOHEROTHNNOK WOWOROMOBRHEININOWOROMTHEOINNNOWOROMHIOHE NIP OEOBROCURNNNWOEONOIOTEOANNNOWOE SUODHAONNNDWIWHOPROROMODHEINNNNWOWOR OOOH OAHNNNWOWOR DCO TH AHINNNWOWOH OC OPOPROROMNOHMOMNHOHENNNNNWOWKMDWHOPROPR OI POMNOMHOHOHIODNAINNNNWOWIDWOPORO HOO

.3 7 . 0 4 7 bd 4 8 bil =) 8 oul A) . 8 2 .5 bY) . 2 . 6 > 3 . 6 mo) 3 . 6 . O

3 a . O . 4 7 bal LA . 8 ol . 4 LS al Aa) 8 2 5 > 8) 2 . 6 oY) 3 . 6 » @) .38 . 6 . O 3 7 - 0 . 4 a . 0 . 4 . 7

SNWOONWUMHN PODWOUTNOEHINWOONOCTrF OK HIWOCN OPO OVE NTWODHEWOEROOUR NWO NIWOMN

Page 112] TABLE 4.

Conversion of Departure into Difference of Longitude.

Middle Latitude.

Dep. | 48° |48° 30’| 49° |49° 30’) 50° (50° 30’) 51° |51° 30’) 52° 152° 30’) 53° |53° 30’) Dep. D.Lo.| D.Lo. | D.Lo. | D.Lo. | D.Lo. | D.Lo. | D.Lo. | D.Lo. | D.Lo. | D.Lo. | D.Lo.} D. Lo. 1 1.5 1.5 1.5 15 1.6 1.6 1.6 1.6 1.6 ib @) al 2 Ibid] il 2} 3.0 3. 0 3. 0 3. 0 3. 1 3. 1 3. 2 3. 2 3.2) 3.2) 3.3) 3.3) 2 3] 45 4.6 4.6 4.6) 4.7 4.7 4.8) 48 4.9) 4.9] 5.0) 5.0) 3 4 6. 0 6. 0 6. 1 6. 1 6. 2 6. 3 6. 4 6. 4 6. 5 6.5) 6.6) 6 7) 4 5 7.5 7.5 7. 6 Bo 7.8 7.8 7.9 8. 0 8.1 8.2) 83) 8 4) 5 6 9. 0 9. 0 9.1 9. 2 9. 3 9. 4 9. 5 9. 6 Odi ONS LONO OMG 7} 10.5) 10.6) 10.7) 10.8} 10.9) 11.0) 11.1) 11.2) 11.4) 11.5) 11.6) 11.7) 7 8 | 12.0) 12.1) 12.2) 12.3) 12.4) 12.5) 12.7) 12.8) 13.0) 13.1! 13.3) 13.4) 8 9 | 13.4) 13.6) 13.7) 13.8) 14.0) 14.1] 143) 14.4) 14.6) 14.8] 15.0) 15.1) 9 10 | 14.9} 15.1} 15.2) 15.4) 15.6) 15.7) 15.9} 16.0) 16.2) 16.4) 16.6, 16. 8] 10 11 | 16.4) 16.6) 16.8} 16.9) 17.1) 17.3) 17.5) 17.7) 17.9) 18.1) 18 3) 18. 5) 11 12 | 17.9} 18.1) 18.3) 18.5) 18 7; 18.9) 19.1] 19.3) 19.5) 19. 7) 19.9] 20. 1] 12 13 | 19.4) 19.6} 19.8] 20.0) 20.2) 20.4) 20.7) 20.9) 21.1) 21.3} 21.6] 21.8] 13 14 | 20.9} 21.1) 21.3) 21.5) 21.8) 22.0) 22.2) 22.4) 22.7) 23.0) 23.3] 23. 5] 14 15 | 22.4) 22.6] 22.9) 23.1) 238.3) 23.5) 23.8] 24.1) 24.4) 24 6] 24.9) 25. 2] 15 16 | 23.9) 24.2) 24.4) 24.6) 249) 25.1) 25.4]! 25.7) 26.0) 26. 3] 26.6] 26. 9] 16 17 | 25.4) 25.7) 25.9) 26.2) 26.4) 26.7) 27.0) 27.3) 27.6) 27. 9) 28.2) 28. 5| 17 18 | 26.9} 27.2) 27.4) 27.7) 28.0) 28.3) 28.6) 28.9) 29.2) 29. 5] 29.9) 30. 2} 18 19 | 28.4! 28.7) 29.0) 29.3/ 29.6) 29.9} 30.2) 30.5) 30.9} 31. 2) 31.6) 31. 9) 19 20 | 29.9) 30.2) 30.5) 30.8) 31.1) 31.4) 31.8) 32.1) 32.5) 32. 8) 33.2) 33. 6) 20 21) 31.4) 31.7) 32.0) 32.3) 32.7) 33.0] 33.4) 33.7) 34.1) 34.5) 34.9) 35. 3) 21 22 | 32.9] 33.2) 33.5) 33.8) 34.2) 34.6] 35.0) 35.3) 35.7) 36. 1) 36.6] 37. 0) 22 23 | 34.4| 34.7) 35.1) 35.4! 35.8) 36.1! 36.5} 36.9) 37.4] 37. 8] 38.2) 38. 6] 23 24 | 35.9] 36.3) 36.6) 36.9) 37.3) 37.7) 38.1] 38.5) 39.0) 39. 4] 39.9] 40. 3) 24 25 | 37.4] 37.7) 38.1) 38.5) 38.9] 39.3) 39.7) 40.1) 40.6) 41.0) 41.5) 42.0) 25 26 | 38.9) 39.2) 39.6) 40.0) 40.4) 40.8] 41.3) 41.7) 42.2) 42.7) 43.2) 43.7) 26 27 | 40.4| 40.8) 41.2) 41.6} 42.0) 42.4) 42.9) 43.4) 43.9] 44.4) 44.9) 45. 4) 27 28 | 41.8] 42.2) 42.7) 43.1) 43.6) 44.0) 44.5) 45.0) 45.5) 46.0) 46.5) 47. 0) 28 29.| 43. 3| 43.7) 44.2! 44.6) 45.1) 45.6} 46.1) 46.6) 47.1] 47. 6] 48.2) 48. 7) 29 -{ 30 | 44.8] 45.2) 45.7) 46.2) 46.7) 47.2) 47.7) 48.2) 48.7] 49.2] 49.8) 50. 4) 30 31 | 46.3] 46.8) 47.3) 47.7) 48.2! 48.7) 49.3) 49.8) 56.4) 50.9) 51.5) 52.1) 31 32 | 47.8] 48.3) 48.8) 49 3) 49.8) 50.3] 50.8) 51.4) 52.0) 52. 6) 53.2) 53. 8) 32 33 | 49.3] 49.8) 50.3} 50.8) 51.3) 51.8) 52.4) 53.0) 53.6) 54. 2] 54.8) 55. 4] 33 34] 50.8] 51.3) 51.8) 52.3) 52.9] 53.4) 54.0) 54.6} 55.2) 55.8) 56.5) 57. 1) 34 85 | 52.3] 52.8) 53.3} 53.8) 54.4) 55.0) 55.6) 56.2} 56.8) 57. 5] 58.2) 58. 8} 35 36 | 53.8] 54.3) 54.9) 55.5) 56.0} 56.6) 57.2) 57.8} 58.5} 59.1) 59.8) 60. 4} 36 37 | 55.3) 55.8) 56.4) 57.0) 57.6) 58.2) 58.8! 59.4) 60.1) 60.7) 61.5) 62. 2) 37 38 | 56.8] 57.3) 57.9} 58.5) 59.1) 59.7) 60.4) 61.0) 61.7) 62. 4) 63.1] 63. 8} 38 39 | 58.3] 58.8] 59.4] 59.9] 60.7] 61.3) 62.0) 62.6) 63.3] 64. 0} 64.8) 65. 5) 39 40 | 59.8} 60.4) 61.0) 61.6) 62.2) 62.9) 63.6) 64.3] 65.0] 65. 7) 66.5) 67. 3} 40 41 | 61.3] 61.9] 62.5) 63.1) 63.8) 64.5] 65.2) 65.9} 66.6] 67. 3) 68.1] 68. 9} 41 42 | 62.8] 63.4) 64.0} 64.6) 65.3) 66.0) 66.7} 67.4) 68.2) 69.0} 69.8} 70. 4] 42 43 | 64.3] 64.9) 65.5) 66.2) 66.9) 67.6) 68.3} 69.0} 69.8) 70. 6] 71.5] 72. 3) 43 44 | 65. 8| 66.4] 67.1) 67.8) 68.5) 69.2) 69.9) 70.7) 71.5) 72.3) 73.1) 74 0] 44 45 | 67.3} 68.0) 68.6) 69.3) 70.0} 70.7) 71.5) 72.3} 73.1) 73.9) 74. 8} 75. 7] 45 46 | 68.7} 69.4] 70.1) 70.8) 71.6} 72.3) 73.1) 73.8} 74.7) 75. 5) 76.4) 77. 3) 46 47 | 70.2) 70.9) 71.6) 72.3) 73.1) 73.8) 74.7) 75.5) 76.3) 77. 2) 78.1) 79. 0) 47 48 | 71.7| 72.4) 73.2) 73.9) 74.7) 75.5) 76.3! 77.1) 78.0) 78.9) 79.8) 80. 7 48 49 | 73.2) 74.0) 74.7) 75.4) 76.2) 77.0) 77.9) 78.7} 79.6) 80.5] 81.4) 82. 4] 49 50 | 74.7) 75.5) 76.2) 77.0} 77. 8) 78.6) 79.5) 80.3) 81.2) 82. 1) 83. 1] 84. 1) 50 51 | 76.2) 76.9) 77.7) 78.5) 79.3) 80.1) 81.0) 81.9) 82.8) 83.7) 84.7] 85. 7 51 52 | 77.7| 78.5) 79.3) 80.1) 80.9) 81.7) 82.6) 83.5} 84.5) 85. 4) 86.4] 87. 4) 52 53 | 79.2) 80.0} 80.8] 81.6) 82.4) 83.2) 84.2) 85.1} 86.1) 87. 1) 88.1) 89.1] 53 54 | 80.7) 81.5) 82.3] 83.1) 84.0) 849) 85.8) 86.7) 87.7] 88.7] 89.7] 90. 8] 54 55 | 82.2) 83.0) 22.8) 84.7) 85.6) 86.4) 87.4) 88.3} 89.3) 90.3) 91.4) 92. 5) 55 56 | 83. 7| 84.5} 85.4) 86.2] 87.1) 88.0) 89.0) 90.0) 91.0) 92.0] 93.1] 94. 2) 56 57 | 85. 2} 86.0} 86.9) 87.8} 88.7} 89.6) 90.6} 91.6) 92.6) 93. 6) 94.7) 95. 8) 57 58 | 86. 7| 87.5} 88.4) 89.3) 90.2) 91.2) 92.2) 93.2) 94.2) 95. 2) 96.3) 97. 5} 58 59 | 88.2} 89.0) 89.9} 90.8} 91.8) 92.8) 93.8] 94 8) 95.8) 96.9) 98.0) 99. 2) 59 60 | 89.7} 90.6) 91.5) 92.4) 93.3) 94.3) 95.3] 96.2) 97.5} 98. 4) 99. 7 100. 9} 60

TABLE 4.

Conversion of Departure into Difference Longitude.

Middle Latitude.

[Page 113

Dep. } 54° | 54°30] 55° |55°30’| 56° |56°30’| 57° |57°30’| 58° |58°30’| 59°

D. Lo.| D. Lo. | D. Lo.| D. Lo TD. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. | D. Lo. ) D.Lo.

1 17 1.7 7 1.7 1.8 1.8 1.8 1.8 1.9 1.9 1.9 2 3. 4 35. 4 5 3.5 3. 6 3. 6 3.7 3.7 3. 8 3.8 3.9 3 5.1 5.1 2 5.3 5. 4 5. 4 5.5 5.6 5.7 5.7 5. 8 4 6. 8 6.9 0 7.1 7. 2 dn 2 7.3 7.4 7.5 7.6 7.8 5 8.5 8. 6 7 8.8 8.9 9.0 9. 2 9.3 9. 4 9.5 9. 7 6 10. 2} 10.3 5) 10.6) 10.7) 10.8) 11.0) 11.1) 11.3) 11.4) 11.6 7 111.9) 12.0 2) 12.3) 12.5). 12.7) 12.9) 13.0] 13.2) 13.4) 13.6 8 13. 6} 13.7 9} 14.1) 143) 14.5) 147) 14.9) 15.1) 15.3] 15.5 9 | 15.3) 15.5 7| 15.9} 16.1) 16.3) 16.5) 16.7) 17.0) 17.2) 17.5 10 17.0) 17.2 4; 17.6) 17.9) 18.1) 18.4) 18.7) 18.9) 19.1) 19.4 11 18.7) 18.9 2} 19.4) 19.7) 20.0) 20.2! 20.5) 20.8) 21.1) 21.4 12 20. 4| 20.6 9) 21.2) 21.5) 21.8] 22.0) 22.3) 22.6) 22.9] 23.3 13 | 22.1) 22.4 7| 22.9) 23.2) 23.5] 23.9) 24.2) 24.5) 24.9] 25.2 “14 23. 8) 24.1 4| 24.7) 25.0) 25.3] 25.7; 26.0) 26.4) 26.8] 27.2 15 | 25.5) 25.8 2| 26.5] 26.8) 27.1) 27.5) 27.9] 28.3) 28.7) 29.1 16 De Al P26 Gy 9} 28.2] 28.6) 29.0] 29.4) 29.8) 30.2) 30.6] 31.1 17 | 28.9] 29.2 6} 30.0) 30.4) 30.8] 31.2} 31.6) 32.1) 32.6] 33.0 18 } 30.6} 31.0 4) 31.8] 32.2) 32.6) 33.0) 33.5) 340) 34.5) 349 19 | 32.3) 32.7 1} 33.5) 34.0) 34.4) 34.9) 35.4) 35.9) 36.4] 36.9 20 | 34.0) 34.4 9} 35. 3] 35.8) 36.2) 36.7) 37.2] 37.7) 38.2|) 38.8 21 35. 7| 36.1 6| 37.1] 37.6) 38.1) 38.6) 39.1] 39.6) 40.2] 40.8 22 | 37.4] 37.9 4) 38.9) 39.3) 39.8) 40.4) 40.9} 41.5) 42.1) 42.7 23 | 39.1) 39.6 1) 40.6) 41.1) 41.6] 42.2) 42.8] 43.4] 44.0) 44.7 24 | 40.8] 41.3 8) 42.3] 42.9) 43.5) 44.1) 44.7) 45.3] 45.9) 46.6 25 42.5) 43.0 6| 44.1] 44.7) 45.3] 45.9) 46.5] 47.2) 47.8] 48.5 26 | 44.2) 44.7 3} 45.9] 46.5) 47.1) 47.7) 48.4] 49.1) 49.8) 50.5 27 | 45.9) 46. 4 1} 47.7) 48.3) 48.9) 49.6} 50.3] 51.0) 51.7) 52.4 28 | 47.6) 48.2 8} 49.4] 50.1) 50.7) 51.4) 52.1) 52.8] 53.4) 54.4 29 | 49.3) 49.9 6} 51.2} 51.9) 52.5] 53.2) 53.9) 54.7) 55.5] 56.3 30 | 51.0} 51.6 3} 52.9] 53.6) 54.3) 55.1) 55.8] 56.6) 57.4) 58.2 31 | 52.7) 53.3 O| 54.7] 55.4) 56.1) 56.9) 57.7] 58.5) 59.3) 60.2 32 | 54.4) 55.2 8} 56.5] 57.2) 58.0] 58.8) 59.6} 60.4) 61.2] 62.1 33 | 56.1) 56.8 5} 58.2) 59.0) 59.8] 60.6) 61.4) 62.3) 63.2] 641 34 | 57.8} 58.5 3} 60.0] 60.8) 61.4) 62.4) 63.3] 64.2) 65.1] 66.0 35 | 59.5) 60.2 0} 61.8] 62.6) 63.4] 64.3) 65.1] 66.0) 67.0} 68.0 36 | 61.2) 62.0 8} 63.6] 64.4) 65.2! 66.1) 67.0] 67.9) 68.9] 69.9 37 | 62.9) 63.7 5| 65.3] 66.2) 67.0] 67.9) 68.8] 69.8) 70.8] 71.8 38 | 64.6) 65.4 3} 67.1] 68.0) 68.9) 69.8) 70.7] 71. 7| 72.7) 73.8 39 | 66.3) 67.1 0} 68.8] 69.7} 70. 6) -71.6) 72.6] 73.6] 74.6] 75.7 40 | 68.1) 68.9 770.4) 71.5) 72.4) 73.4) 74.4) 75.5) 76.6] 77.7 41 | 69.8] 70.6 5} 72.4] 73.3) 74.3) 75.3) 76.3) 77.4) 78.5) 79.6 42 | 71.5| 72.3 2} 74.1) 75.1) 76.1! 77.1) 78.2) 79.3) 80.4] 81.5 43 | 73.2) 74.1 QO} 75.9) 76.9) 77.9) 79.0} 80.0} 81.1) 82.3] 83.5 44 | 74.9) 75.8 7| 77. 7| 78.7) 79.7) 80.8) 81.9] 83.0} 84.2} 85.4 45 | 76.6) 77.5 5} 79.5] 80.5) 81.5) 82.6] 83.7] 84.9) 86.1] 87.4 46 | 78.3) 79.2 2} 81.2] 82.3) 83.4) 84.5] 85.6] 86.8) 88.0] 89.3 47 | 80.0} 80.9 9} 82.9] 84.0) 85.1) 86.3! 87.5] 88.7] 90.0] 91.3 48 | 81.7) 82.7 7| 84.7) 85.8) 86.9} 88.1} 89.3] 90.6) 91.9] 93.2 49 | 83.4) 84.4 4| 86.5] 87.6) 88.8} 90.0} 91.2] 92.5) 93.8] 95.1 50 | 85.1) 86.1 . 2) 88.4) 89.4) 90.6] 91.8) 93.11 94.4) 95.7] 97.1 51 | 86.8] 87. 8] 88.9} 90.0] 91.2) 92.4) 93.6) 94.9] 96.2) 97.6] 99.0 52 | 88.5] 89.6] 90.7] 91.8] 93.0} 94.2] 95.5! 96.8! 98.1] 99. 6] 101.0 53 | 90. 2} 91.3] 92.5} 93.6) 94.8] 96.0] 97.3] 98. 6} 100. 0] 101. 5} 102.9 54 | 91.9] 93.0] 94.2} 95.4) 96.6] 97.9] 99. 1] 100. 5] 101. 9] 103. 4] 104.8 55 |.93.6| 94. 8] 96.0] 97.2]. 98.4] 99. 7] 101. 0} 102. 4) 103. 8} 105. 1] 106. 7 56 | 95.3] 96.5] 97.7] 98. 9] 100. 1] 101. 4] 102. 8} 104. 2] 105. 7| 107. 2] 108. 6 57 | 97.0] 98. 2] 99. 5] 100. 7] 101. 9} 103. 3] 104. 7} 106. 1} 107. 6} 109. 1] 110.6 58 | 98.7] 99. 9/101. 2} 102. 4) 103. 7] 105. 1] 106. 5} 108. 0] 109. 5] 111. 0} 112.5 59 |100. 4] 101. 6/102. 9) 104. 2] 105. 5] 106. 9] 108. 3] 109. 8] 111. 3] 112. 9] 114.5 60 |102. 1) 103. 3/104. 6} 106. 0} 107. 3] 108. 8] 110. 2] 111. 7] 113. 2] 114. 8] 116.5

66806°—38——8

Page 114] TABLE 5.

Meridional Parts, or Increased Latitudes.

1 Comp. 993.465

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TABLE 5. [Page 115 Meridional Parts, or Increased Latitudes.

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Page 116] TABLE 5. Meridional Parts, or Increased Latitudes.

1 Comp. 993.465

= iC) SENSE

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TABLE 5. [Page 117 | Meridional Parts, or Increased: Latitudes. {

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Page 118] TABLE 5. Meridional Parts, or Increased Latitudes.

1 Comp. wee

Beer Poe | :

40° 41° 42° 43° 44° 45° 46° 47° 48° 49°

2607.6 | 2686.2 | 2766.0 | 2847.1 | 2929.5 | 3013.4 | 3098.7 | 3185.6 | 3274.1 | 3364.4 08.9 87.6 67.4 48.5 30.9 14.8 | 3100.1 87.1 75.6 ; 10.2 88.9 68. 7 49.9 32.3 16. 2 01.6 88.5 Udo 11.5 90. 2 70.1 51.2 33.7 17.6 03.0 90. 0 78.6 12.8 91.5 71.4 52.6 35. 1 19.0 04.4 91.4 80. 1

2614. 1 | 2692.8 | 2772.8 2936.5 3105.9 | 3192.9 | 3281.6 15.4] 94.2] 74.1 : ; ; i 94.4] 83.1 16.8| 95.5] 75.4 : : 95.8 | 84.6 18.1| 96.8] 76.8 : ' : : 97.3| 86.1 11 Aru OSes eeZ8 bel |e! : : 98.8 | 87.6

2620.7 | 2699.5 | 2779.5 ; : 5 3.1 | 3200. 2 | 3289.0

2700.8 | 80.8 : ; ; 01.7] 90.5 02.1] 82.2 : ; 03.2 | 92.0 03.4] 83.5 04.6) 93.5 04.8] 84.8 06.1} 95.0

2706. 1 | 2786.2 3207.6 | 3296.5 07.4| 87.5 09.0} 98.0 08.7 | 88.9 10.5] 99.5 10.1] 90.2 12.0 | 3301.0 11.4 | 91.6 13.4 | 02.5

2712.7 | 2792.9 ; -5 | 3214.9 | 3304.0 14.0| 94.3 : 16.4| 05.5 15.4| 95.6 Q ! ' 17.9| 07.0 16.7| 97.0 : ; 19.3] 08.5 18.0 | 98.3 20.8 | 10.0

2719.3 | 2799.7 | 2881.3 nm -7 | 3222.3 | 3311.5

20.7 | 2801.0] 82.7 th | IO 22.0] 02.4] 84.0 Pi) || ALS 23.3| 03.7] 85.4 26.7| 16.0 24.7| 05.1] 86.8 28.2 | 17.5

2726.0 | 2806.4 | 2888. 2 -9 | 3229.6 | 3319.0 27.3| 07.8] 89.5 ST || AO. 28.6 | 09.1] 90.9 ' é 32.6] 22.1 30.0} 10.5] 92.3 34.1| 23.6 S103) ebb 8) e507 $ BG || FELT

2732.6 | 2813.2 | 2895.0 b 53. 9. 3237.0 34.0 14.5 96. 4 b c . c 35.3 15.9 97.8 36. 6 17.2 99. 2 38. 0 18.6 | 2900.5

2739.3 | 2820.0 | 2901.9 40. 6 21.3 03. 3 42.0 22. T- 04.7 43.3 24.0 06. 1 44.6 25.4 07.4

2746.0 | 2826.7 | 2908.8 47.3 28.1 10.2 48.6 29. 4 11.6 50. 0 30. 8 13.0 51.3 32. 2 14.3

2752.7 | 2833.5 | 2915.7 54.0 34.9 17.1 55.3 36. 2 18.5 56. 7 37.6 19.9 58. 0 39.0 21.2

2759.3 | 2840.3 60. 7 41.7 62.0 43.0 63. 4 44.4 64.7 45.8

Soe See | 5

BR) ATO © 2} bo

HE OO Ore (Ca)

Best

Di wowoan| Non

COTO EB Be

oc) o or

2 FANGS BSS Se4 SES

RN bo NTs) © POOLS) Ol ODO NT] G9 OO ise) eX)

TABLE 5. [Page 119

Meridional Parts, or Increased Latitudes.

3845. 7 | 3948.8 | 4054.5 | 4163.0 ¢ 4389. 1 47.4 50.5 2 b 49.1 50. 8 52.5

paras PwWNEH ©

WIAIAIDR

OOOO Bl MOH H ~~ Be OR OINS 1S (Oto Io Fea OEE ND | OSU

4153. 8 50. 7 57.5 59.3 61.1

56°

TABLE 5. Meridional Parts, or Increased Latitudes.

for]

Role eee SSNRRSSeE

Es si

& a8 Do ne (Jt) oo Be we gs

Sas Bs: PVSANSSSRIISIELE C2 > CO 09/ > CO HE On] CO DOR TO] 69 C100 | <9 BD CT OO] HER TO 09] & CO BO OTCO| BO CTO HH | CO CO

or EES Sop

on aD

oO oo on for)

oOo ow DO OH ATTY IND DD DOH

ASR EODP AOD OS EA < SO} GO

on or

G2 Bo] bo ROSSI

We}ive)

PP SES!

[S4| on Hels PIC OV or aa j=}

SSMS as DO) Por anciwa

ESS

r 14, 5956. 1 | 5717.

SESSSSSR’

WOODEN OCWONOWI RH OO

_ @

CRON NOT SY SORT OUOS TTS

RHIRO ROMHS

coor “InpNwo >

TABLE 5. [Page 121

Meridional Parts, or Increased Latitudes.

7721. 6

CONMOOPWNHEOS

ie) bo SIND DOr

YOON) oS

ey nS 00 SI] ~~.

2b SSIS

COCA mate) He S| > bo OB S| o> ty 00

Page 122] TABLE 6. Length of a Degree in Latitude and Longitude.

Degree of Long. Degree of Lat. Naut. miles. | Statute miles. Statute miles. Meters.

69. 172 111 321 - 68. 704 110 567 9. 162 1 304 - 704 568 9. 130 1 253 - 705 569 9.078 1 169 - 706 570 9. 005 1 051 . 708 573

68. 911 110 900 68. 710 110 576 8. 795 0 715 6 e 8. 660 0 497 8. 504 0 245 8. 326 109 959

68. 129 109 641 7.910 9 289 7. 670 8 904 7.410 8 486 7.131 8 036

66. 830 107 553 6.510 7 036 6. 169 6 487 5. 808 5 906 5. 427 5 294

65. 026 104 649 4. 606 3 972 4. 166 3 264 3. 706 2 524 3. 228 1 754

62. 729 100 952 2. 212 0 119 1. 676 99 257 1, 122 8 364 0. 548 7 441

59. 956 96 488 9. 345 5 506 8. 716 4 495 8. 071 3 455 7.407 2 387

56. 725 91 290 b 110 938 6. 027 0 166 : 956 5. 311 89 014 cS 975 4.579 7 835 : 994 3. 829 6 629 : 111 013

53. 063 85 396 b 111 033 2, 281 4 137 b 052 1. 483 2 853 : 072 0. 669 1 543 . c 091

49. 840 0 208 : 2 111 8.995 78 849 : 131

Naut. miles.

42. 546 1.801 1.041 0. 268

39. 484

TABLE 6. Length of a Degree in Latitude and Longitude.

Degree of Long. Degree of Lat. Statute miles. Meters. Naut. miles. | Statute miles.

69. 054 - 066 - 079 - 091 - 103

38. 688 7. 880 7. 060 6. 229 5. 386

- 127 . 139 - 151 - 163

69. 115

[Page 123

34, 532 3. 668 2. 794 1. 909 1.015

30. 110

29. 197 8. 275 7. 344 6. 404

69. 175 . 186 - 197 - 209 . 220

69. 230 |

- 241 - 251 - 261 271

25. 456 4.501 3. 538 2. 567 1.590

69. 281 - 290 . 299 - 308 316

20. 606 19. 616 8. 619 7.617 6. 609

| 15. 596

4. 578 3. 556 2.529 1. 499

- 332 - 340 - 347 - 354

69. 324

- 366 - 372 377

10. 465 9. 428 8. 388 7. 345 6. 300

- 390 - 394 - 397 400

5. 253 4, 205 3. 154 2.103 1. 052 0

- 404 - 405

-407 - 407

TABLE 7.

Distance of an Object by Two Bearings.

i z a rg a a : 8 o be| g Ja a 8 FI 5 g (=)

90 87 84 81 0. 72 0. 70 0. 69 64 62

1 1 1 0 0. 0.

13 | 0 00 95 | 0. 90 76 74 71 69 0.62 | 0

0. 0.

55 54 | 0.

90 | 1.21 75 | 0. 73 | 0

85 61 | 3. 05 41 99 } 1

0.95

0. 87 } 1. 80 | 1 78 | O 67 | 0 66 | 0 64 7 0 63 | 0 61 59 | 0. 64 58 57

23 | 0

07 1.00

70 | 0.

67 | 0

65 | 0.

63 | 0

62 | 0.

0. 0 0. 0. 0. 0. 0. 0

77 0. 74 0. 72

60 7 0

53 7 0

52 7 0

89 | 0. 54 | 0. 53 | 0

SRSRISIGISRSS

60 59 0. 0.

60 55 55

SH SH OD 69 6 C1 CD C19 CD SH SH SH 1D 10 6 OP CO

52 | 0. 514 0 50

50 7 0 49 1 0.

oO OANMOAPOMOMAMADORDMOSO

Seeeooooonnnn O60 10

0. 0. 0. 0.

Mr ODMOOr~eo MCA Omid toon

49 | 0.48 48 | 0.47 48 | 0.46

mein iy OOrnrc

BHA ODDOrrO1D CANA COR O1O HONS

SRRAPPIPPPEPSTSASRGSGRTRASSSSSSEESS

SSE Oto eaten tect coat bca crate cron teak al calc exo OTT WON S SH EOD CD 1 CD CD CVD CFD CVD CFD CFD CFD CD CD OD CD CO CO ION N OA NANNANAAS

THO OHO SO 1D 1D 1D 1D 1D 1D af

A) GS. si tHe OOH Dr OO O19 1019

HATO OPr OID 1 10 1 SH SH SH SH SH

Sry hanes ars ars Phare unre Bary Phare Pare hors KOS ON ON CE is a) EDORONMDOMD

MDrwDHHMOMONANH WOODWORK OMMOANANROD OD 61D GYD CFD CVD CFD CY) CY CD CD CD COD NN NANNNANNANNAN eS

OD CFD CVD CVD CVD CVD CVD CD CD SH SH SH SH SH OSH SH SH SH SH He 10 19 19

DUI HHMOOANA Hr AOOAADDKHHROOMMHAAMANTODHS BRASBBSBRSBBSS NANANAANNANNANNNANNANN SS

1|0

WOOD MH DOOIN CDA CO 1D 1D LD LD SH OSH SH SH SH OSH SH SH OOD 01D 0D OD 0D YD CD,

LD LD SH SH SH SH SH SH 1D 1919 OO Pe Pe ORDO N19 0 OD od

Distance of an Object by Two Bearings.

Difference

bb a 4? 3 2 ~ gE a a 3 © ra 3 ro) 5 2 a =) =| 5) o le i] a ° ) =| 5) ~] 5) & a B

between the course and second

bearing.

14 46

97 61 33 10 92 77 22 17 12 08 04 00 97 94 91 89 87 85 83 81 80 79 78 77 76 75 74 74 73 73 72 72 72 72 72 72 72 73 73 74 74 75 76 77

4 3 2. 1 1 1 1 1 1 1 1 1 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.

24 77 44 18 27 22 16 12 07 04 00 97 4 1 93 90 88 85 83 80 78 76 74. 71 69 68 66 64 62 60 58 57 55 53 52 50 48 47 45 43 41 40 38 36 32 30

0. 78

28 26

03 | 1 85 | 1 71) 1 58 | 1 86 | 0 84 | 0. 82 | 0. 80 | 0. 79 | 0 77 | 0. 76 | 0 75 | 0 74 | 0 73 | 0 72 | 0 72 | 0 71 | 0 71 | 0 70 | 0 70 | 0 70 | 0 70 | 0 69 | 0 70 | 0 70 | 0 70 | 0 70 | 0 71 | 0 71 | 0 72 | 0. 72 | 0 73 | 0. 74) 0 75 | 0

61] 2 51] 42/1 34] 1 66 | 0 64 | 0 63 | 0. 61 | 0 59 | 0 58 | 0. 56 | 0 5410 53 | 0 51] 0 50 | 0 48 | 0 4710 45 10 43 10 42 10. 40 | 0 39 | 0 37 10 35 | 0 33 | 0. 32 | 0 30 | 0

42} 1 34 7 1 27) 1 2141 06} 1 02} 1 98 | 1 95 J 1 92 | 1 33 | 0. 31 7 0 29 | 0.

76 | 0 77 | 0

28 7 0

2770

72) 1 58 | 1 47/1 37} 1 29 | 1 09} 1 04) 1 00 | 0 96 | 0. 93 | 0. 82] 0 79 | 0. 78 | 0. 76 | 0, 7410 73 | 0 72 | 0 70 | 0 69 | 0 68 |. 0 68 | 0 67 | 0 66 | 0 66 | 0 65 | 0 65 | 0 65 | 0. 64 | 0 64 | 0 64 | 0

MOANA

Ohne Woon Ht ONOWDOMMNON

NAN NR AANA

6 7 1 207 1 14} 1 09 J 1 97} 1 94 9 1 91 9 1 88 | 0. 85 | 0. 83 | 0 32 | 0 30 | 0

IDOHNHAoOOMHOn 1D) O21 OO? 0 19 SH OD

ONNNRA AANA Ane

23 |.1 16} 1 96 | 0. 92] 0 89 | 0 63 | 0 63 | 0 64 | 0.

09 O OH 6I6D 10 CO CD OO TMDOMTMNAMOOD

91 8971 86] 0 83] 0 81] 0 7940 7740 75 | 0 6610 6410 6310 61] 0 60] 0 5910 57 | 0. 5610 5510 5410 5210 51} 0 5040 4910 48} 0 4610 4510 4410 4310 31] 0 2910

D2 09 69 09 O A P19 H 19 O19 © COOH OMIOWHOANMMOO

71/0 69 | 0 68 | 0. 67 | 0. 65 | 0. 64 | 0. 63 | 0. 63 | 0 62 | 0. 61 | 0. 61 | 0. 60 | 0. 60 | 0 59 | 0 59 | 0. 59 | 0 59 | 0 59 | 0 59 | 0 59 | 0 59 | 0 59 | 0

140

HOON ON rown se)

Ann AAA nnn OOCOCOCOOCOoOO

0. 5 | 0. 3|0 1/0 9 | 0 6 | 0 | 0 3 | 0 2 | 0. 1/0 0 | 0 0 | 0 9 | 0. 8 | 0 8 | 0 7|0 7|90 6 | 0 6 | 0 6 | 0. 6} 0 6} 0 6 | 0 6 | 0. 6 | 0 6 | 0 710. 8 | 0 9} 0 0 | 0. 35 F 0. 0 | 0. 1}0 2) 0 310 | 0

ADHOHMBRORNDOMHR HOD ASHSODGSHAHARHOSBADDDRKRKRR GSO G6GS HGS SH 1D 19 15 15 10 19 19 19 19 19 19 19 19191919 1H 1H SHOOOGOHS

SRSANSSLSSR

62 57 51 0. 49 46° 41 35

Dr OHSOMH OHO OID 19 DD OD 1D 4 19 OD AOD COP Oi HWA

87 87 87 88

MAMADOOMMAONDSOON SoM aAHoO IN WOO DOMN DOMmOINWNONARMA AO

WDONHDADONDMNTHOON DAMNAAHHAMIONSWDWOWMWNHS DOWMOMmMANOAD-OMAMNNANT NAOT TODAD A D HD DO

0. 0. 0. 0.

SO Fre ASO} COICO FT I ESO Tre ect Oo fo ea as eat cea cba era nen a ond NI Fe cere MIND ONMNHODMROMOHHMNANTRMOSCOABDDOODOOI~I-r OOOO

58 44 42 39 37 34

WAOMAOANMHRAPDODHAMAHROADMIOANASWMDOHHOOOr OM oO HH FADO OANOODMOMO ADAMANT MODOC OADAPRDARMWRDDDDNOD OD

45 | 0

43 | 0. 0

38 | 0 36 | 0.

DiOODROM ANT TAM ODA GOOWTAOND19 mae1nN ia cd co HOrtaoe BOOS RSS SRSA RS RRR SSS RSSSRSRAELRSS SO AD 1 1 1D 1D

41 34

WAHHAM ODIOANMDODTWAOTDONRONDDDIOANNSArOwMAMMANI Ae ODM AOD HAD OMAHMNMNANANMROSCTOADARPRDDDDNDDDDDNOWOOD

TABLE 7. Distance of an Object by Two Bearings. 81 81 81 82 82 83 83

07 0

FAHD WMDARMNDOID OD DAHWOOMMH DOD He HOMHARDOAHTIROAADMIOMARDOWN SHAGDMDAHODMOIMAHMONANHHODCOADDOO ODI OOO Oininininig ttt

: 2 2 z a g a i) oO : ° so a a vo o B & a 8 q E q Aa

Ree ee ee ee ee ee eee ee ee en ee NR lea aa ROO SOOO Oss) ANDMIOMAADODHANAN TM MHOCOARARARDDDDDDODDHDHDOH OMI l-r-DOo

HOSHTOSTHDODARHOONDMDIONDRDOMSOINM HMO NASM MNAAREIONTOr-moACwD IN CO AD OM OlIN WM MAR MHOO DDD OOO Olle lel OO O19 10 1 1D SH SH OH rt SH OD 019. 01 C1. ODN

(en) FO CORB CORD GAGA RICHIE 60 SO OS OS Ona eee SS SSS SES S22 288 SMORMI~ HN DrOMADNMOMANRHTHOCOTCOAARDRDDDHODOO ORR eee rerenno

EE TTT

MOTANOTWOAMDMDHWHDNGOOCOMEADROMOMANBDrEANOCMDOMTRr-OYTNSD NODot#nor OnAr~HNOOMr~O BOR SRS SSSR SS RBA SRL SSSSSESSBSRGIGSSRASBSA

DEE SCOCKhDADHODHOMDHOHDKRMOKRHANODOHHMDHORDOKNNL O19 1919 HH HH H1I9D1D OONN DDO AW OCwRHARBDORWHHADANMHOSCOARADBDADDHDDHODORREE REI EEE ee eee eehno

Page 126]

TABLE 7.

Distance of an Object by Two Bearings.

Ormond

RDAOID HOO HOH DOEANGCOCHRHADADONDHOMMSOMDOMd

Yond MAAN AOODHODAHAHAIANDOMARDEeMANTOHDOOMNmO

qn 5e) OM HID OM AW SWSONRWOOADIONDIONMD Od

> MOORDONHONRANDMDHHDNONOCMOOHMHOSMWOMNMOO1919

apie ole) peal WOM 0019 00 0D SH Yr HH NOMONMMMDIONTMOA SHAD ROION

AND HO HODDER DOSHOSWMWOMRAOMAAHOH OHS DOE 61010 HH HH

ADDOWHAADDHAOANNA HOE OHOALEANADDHONnADRDODMDRBDOMSrMAHWOION GW 6D OO 6D) Oo De SHA 4 OO TP 1D HOD OD NS St © OS OD GD WH HW OC Pe FO CO © 1 1 109 1) SH SH SH GD OD OD

ee ee a ee OST STS Sa Teac fe eat STC SS ORR RTS OO oR ooonS MOHD NMOMAPANADOMrOWMMAMONNANN HHO O OOOO D | DD D D2 G2. D GD HD D

THO ES NO HN OS OD HP O19 HOD OD NA OO OD CO WH OO > Pe EO CO O19 19 10 SH SH SH XH OD 0 OD

: ci] 2 » & Ra Lo} a 3 E 3 5 © aq =) =| 5) o 5 5 ® a © i) a ® ~] oS S a

EIR AES ES SHOES a GA UG alee) EAN MROMODMDDMONODPYrOMNHNOMANANI AS NOI ORDOWDNODWOIMOIMOHDAHMMNANANAT AH HOO OOO DD A D DD D DO GD D GD D

WACOM DADA WARMRMRANDODA-ANULHDHOOADONDPDOMSrAHtnAIODONDSeto DPADNDW OM NS DE 0 1910 HOO AN SH OO OD OD DW OH Pe FP DO OH O10 19 1D) HH SH OVD 01) CO CVD

a ee een eee eee DANOGMAMONMMHnOOSOWWNOOSOHHRMM Fre HAOO y ANenoooooecse

OPO OMe HOOOMAMHONEANEND oD MOOMmMAtmOIONSOrHHRDWoOnMS

MiMNDeOoOdDoOrnOrrvodonrnnrcd a> iad HODARDRPWDWDORWHDD

the course and second bearing.

Difference between

& )

wn a PD SCHRDMND MONA SONDDNDNDHHAHROHDMErADNANOD OMmMOPMOMAHNSCOMOWMDAMMODD OI O O10 19 HH HD

OAMMHAMODNOARDONOADAHYHRMWIOWRHAWOMOHNHADPwWOO HAR Gn o wad oS DWH DINAN

MHARDODHADNDHAOMNANH HOHE OMENOT OnE NDHOCH O SH19 0 rOOn ar > Oo O19

MWTHMOONNNAMAAMnAmooCoooeooc*eocoo OANMODMOARDONMOAHRHORATOINMHADDOO190 OQmrANHHRONAeHMHINDHANOMnIeAOr

DHHNONNANANANT NNN ANNAN NANT

a ST SS EY sHOD OO nm re toc H HOMr-OMM D1IDDHDHS1O WI 919 NOMMHWMOIND SiN NAAN HO ¢ > MNHKMMANNM AMM ssnrOooCooooooococoea

HONANMANDDONDDDONMAAHRDHONMMOWOMNArADWOOIOH COOMIDMDASDADOIOIMO DANG ONDMHHIOID PDH ONROANTROOMrOMAHMNMNNANNANR MAM OOCOOCOCoO OMOWMDOPNOADMOMMOAAHMONANAT

IDHMHOOONANNANN TR AANA NAAN ANA AAA IODHMHNMANNNNTR AANA NANA AAA Ane

cc EW AWIMA MOND EE DOSMOHAMDAKRAMYMDODHSOD 19 MOONMWIAMTANMTAORNONMDHAMArOHANMNDHD Re BARB SRE RSE HARM SSROORNOSSOODH HOD OO HIS NODHNODOINMNAMO DD OM O19 19 HH oD

MHMMNANNNMANAMMAmnROCoCCooCooooS

MORAN AMOR ANDDDNDANANVMBADADNDHOONMOPMOAHAeeOIDOMON EPHEeEADNANOCKROCODONEALMMAAMARDON rr HONDOAANTAAWODrOOMMAAMNMMONNANM MHOC SCSCoCo OMOWADOANMAHOMr~OOMAHAHMOOANAN rir

MDHHMOMNANNANNN TTR NANA NAN NANA ANNAN Ane IDHHMMONANNNN NAA AAA NAAN Ane ES SME DOMOHOIDMHAARAAWAIMANNDASDSINSMWSCONAMNAONMID ADDDADOAROMHAOGOMNAHNMINDTN DOr AMH OO POM TDD DNADDWMMOPWMMNANMOODDD De OO 1019 SH HH oD oD THON DIONOODMIOWNANRODDAOMOOMION HOD

MHMOMANNNRAAMAAARHOOCOCOCOCOoOCoCOoOCOCSO

SORBDOOGOAHMOTAOIr DTA HDNODMNRDONADr-ANCOMMHMANH SODRBOOPMO THOM DH HDNDDMNRBRDONOrAHAN rrownnoa PAM AWOM~OOMWMMAHAHMMNNANMAAMMOOCOCOCoOoO rr OwMWNHAODNMAODMr-OOMMHAMNMNANNR AS

lIDHHOAMANNNN RRNA AANA ANNAN AN

= M OID OHM 1D ODI AT WMD ODHAHODNMNDMDMNARDHSDONOIDT OH FIDO DW HHHANOSCHWDOOOR ANI DY nAODENO OMOWMMAODMNODHO Dl OMDONAN MMO DD DO Ol lOO O19 19 HH HOD OD IDID OM DOMHBI~OMWMANMORD Olle OO 1919 H Hon

TABLE 7.

Distance of an Object by Two Bearings.

bb 4 H qd a 2 ‘> g i=) uo} =| 3 rs) z ro] =} S) 2 4a Dod i=] 5) 2 Fa 15 o a o ) a 5) a 9 B| A

SHR EADNANMNMOHRDODONAEARMMADOANADBDOANODMOMOHAdTS DOMINANT WMIORANDDNANIAANDHOONOMMNOAH OMOMADOANNMHWOr-OOMAWHWNMNANNM MMAR OOCCoCeoeooSe HONDO ANAADr~OOIOHNMMOMNANANM mri

DHHOMANANNNANR Ann nA AANA AAA AAA NAA Aer ID HHOMOANNNNNNM AA AAA AA Asner

COOH HINDI 1IDODOMANMHERAMOMMOMOOTE MOM HAOH eH SPAN CHMOSrESMATOCONHOSMHRRADSOMSOOCAY COMMA DMNNMASOWDM™OMAHNNMMOODADO DIO O19 1910 SH HOD OD IDO DHAOMDMAPDOIOMWMANTOMD DOM O O19 19 Sw

MOOMMM-OHAOMDOMINONOANOGTAONDAHHOMOMNARAEeOHtOHANDSOOD HONANMANOODNSDADONWMD DAHON MO OM MDG OMOWMADONNORWBODM~MOMMOAHNNONANANAMMMMOOCOOCOSCSOSCOAD MORON DOANROCOMMr-OIMH MMOMANNM MnO

Page 128]

Difference

{Page 129

TABLE 7.

Distance of an Object by Two Bearings.

OOMMKMOOCONYHR SRSISRSSSSSeRsss ce GOANNKRRARRHOOSOSOSS a A al DHOHDONMHOONHO SSBSLSRSSSRSBTS HAH ASAHAANNR RAR ASChLODDMNHOCORRDOMNS DAMADOHNAABOKRODON 2 SCHANHARHHSOSOSSSSS a ‘al ODNOHOMHMOHAMMIONn 10 D419 HD 19 69 HO COM O15 HH od

Difference between the course and first bearing.

82h 828 wo Beeed DFoudg EEE Ata ae

IMHANMANNANANANR AA AAA Am MOARHMANGSMHOONHTKRO AHOHODOANHOCADKOMMH 2 HAANNRHRAAHSCSOOSSOSS = ra DANDSHMOnMHOOHMOOHR ADE ARDSHNSBODROMHAAOA aeseaaal Aaddddddddad

25| 1 08} 1 95] 1 83] 1 72| 0 63 | 0. 27) 0

55 | 0. 37 | 0. 32 | 0.

136°

1349

130°

24 77 44 18 99 83 69 58

00 | 2 34 87 52 25 | 0 03 | 0 85 | 0 71

43 |

93 f 4 58 4 3 30 | 2 09 | 2 92 ft 2. 78 | 2 66} 1 56 #1

14 | 2 46) 1 97} 1 61

33 | 1 10 | 0 92 | 0. 77 | 0 64 | 0

ANHHAHHSOSOSS

Dre OOnnMmow AWOR AHA 19

Ti AAA HROMOHNOMHA

ON O19 60 HO 00 fr C10 ANHHHHSSSSS TCO 00 HH 0019 60.09 HOARANODN OH

WA OANNA Gadd

HHH OOO ADH DOD StSSRRSESLSSE OANKHAHSSSSS HD OOIDD OHS WMO

1D EN 001d 6 Ht > D O10 H pete McKos Mos Mos os eee fee ee eae ee 2 SIN AHNHHMOOr ASAD HBMAOKODA CNANGHAHASSSSSS OR HHA © is AGI 0910 BDMAODHAAD WO 1d H DS ocMCKoS os Ms Koy ele ae ieee ed OD DS > 69.19 C9 HH 00.19 69 6D =H CO 02D WRABDOWNSO DON O19 H CANKHHHHSSSSSS RWQHOANHArnODOH RAWTOONNOCON Oi9 HH Vida SAAN

3. 3. 2. 2. 5 2. 1 1

148° 150 152 154 156 158 160

cy oO iY) = I rr) ia) i] = th oO eS rid i} GO i — 1919 oi 66 of el } dH H Oot Ho nnoO i) ao = a Non ASH Oa Oro 6 | THON l, nics | = * = Qeaeace 9 00 SH ON AA OOH | SHODS Ho nnricd a a 1D CO HOOD WBEIOAD } ONAN a | 1D19 COriNcosH | | OAHAKS a HI HISSS S| CaDMDMN RSOSHSOH | OMAN AG ee ooo HHOOM CH SOMSHKRS 13, Adnnricso 3 MAK OKO ON-tH Or

66806°—36-

Page 130] TABLE 8. Distance of Visibility of Objects at Sea.

Nautical Statute Height, Nautical Statute Height, miles. Iniles. feet. miles. Iniles. feet.

OOS OP Cob e

RASSESERSSSSSSSANSS

SO NICrE

PAD AA AD ANN ST Ty yd yd ih 09 09 09 DORON et 3s

OMNWDAPORDNDMDWNHOODDOONUPWNHODDNIDUIWNREOONAIWNWHODDPWHOWDMDPN ONIN ODO

1. 1. 2. 2. 2. 2. 2. 3. 3. 3. 3. 4, 4, 4, 4, 4, 4, 4, 5. 5. 5. 5. 5. 5. 5. 5. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6.

Rot EEE ES a2 58 08 Co OS RIG RS GE SAE a Ga fen a ater Gaia CLR ES reo lene

Neo Bo a ah OR > GO IIL CoS BORO RS IGOL OE EAAARAAAUE PWN HODNMAWHDAWONWOMNONOR OH RARDWIWO

WORDWORMNOMNHOOODNATIPWNWHODODNATEPWNHHOWDNAMIPWHOONAPWNHODWRDUIROMUWNOATIH

F#SSS90 90M MON MN NNN NINININ REP EEE SS5 00 1 2 MH MH 0 HH HO OOM MIMI MINIS ISIN

Re ee et

Ree

TABLE 9. Distance by Vertical Angle (Distance less than 5 miles).

mn GS orm nS mom m4 O O00 Cre AANKN FARM lOOSCOCO|SCoOSCSCOC|SooCoCoC|Sooooo|SoooosoSo

BASBZRIAASSSSAGIISRRABSRARSRSAAAR GAS ANAM O]lCOCOlOSCOCOOlSCOSoOSCO\SCoOSCOSO|OoCOoS®

qog EDS rt BS 0D [2 © 69 4 OD [EP 19 OD DN | OO

ANnMAA [FA MOOC|oooo/ooooo|jooooo

co} HOI rt I~ £0.19) HOD mODO!ro10

Aree ooooc|oooooe|sooooo|jocooososS

DOR MODE OLOMoOAd |S Ano MOAN Raa AIN

AINeAAAe o ocoocoo|jsooooce|s>

~RASABSARS|ESITS RNRRARARRaas 0 AXKMAlLAAMAIOOOOoO

RRS [53 oo 63 Ioscooo|oO000

HO |O11G 0 HOA |OomMA 0 ~ RASSISRASS RARAARAass

0 DHNA Anno

9 oO a qi Z a & a =|

AANRaaaaas

coooo|jooooo

a0 BS ooooo

TOO COHN CONAAN

ooooo

Tm AON

icoooo

BBA isooooo

TAI CO SH LO OP COO RIOR A CD SH 10 COE DOO |O IAI CO eH [LD COE CO . © efi ee gp ef te © ee elie 0 © © elie © ee ole ew ee ° =)

TABLE 9. Distance by Vertical Angle (Distance less than 5 miles).

BASAIRIASSRSGATSBes

I De 6 [60 10 1010 Ht tt Ht to 0

rac mosqp NASWAAIOSOos

mt SH OD cD CD [OD CO CD INN Ca

ANNAN SH

r~niSa0 Oooo

AAAs

x o|o

MANN

as 3g MAIS APtOONH mwno Now ~~ oD CD OD OA St

RO 1D 1 1D eH | <H XH OD CD COD Seeded

SSARSSFRASSSISAA AD 1 SHH SH OD CD CH COA IN ANA

3 co} A 2 a ie o ny

GS Waa mite SARASIASSSS5

Seas HOO

nm mitaNowont BR as Arooo O10 HH [cd DCO ANA shone Ree hell oe eee Roe el

NANQDAQxnSom|( SoS Fale Se Saris anf Soran

LO HHO OIANAAN Seaside oooooSo

OClNMOA Ee Won OS le YH or on oO & O10

Sess nnAROOoOooO cooooofo

ZaSSR5|ASSss SRS 88 85 68 ASaga

Seas [sno icoooo oooooeo

SBIRRASSSSHSSAGISIWSSRS ARRAS |SARAA

AAsrsAirMmOoo|joCooooljoosooo|soooeo|sooososo

co bo or) SrdMiDOtnNsS roeroinonor no Cn Ri ee Ae Re oe eh) iu Sa ooooo\joooooso

BSAARA|RARAA

ooooojooosooSo

SONMODIONWOOS lS sige vel [Neutelos)ieiiete

TABLE 10.

Distance by Vertical Angle (Distance greater than 5 miles).

2) Aircraft (using bubble sextent) correct observed vertical angle for Refraction only.

8 Surface craft correct observed vertical angle for Refraction and Dip.

Correction for Dip.

Correction for Refraction.

CD AIN CO 0919 0 4

soylar [eorjned uy eoueystq

2,600

2,200 | 2,400

2,000

1,800

4 00 3 26 3 00 2 39 2 22 2 08

’

2 46

3 23 | 3 42 2 14 | 2 26

3 05 1 59 | 2 11

2 01 1 48

1 49 | 2 03 | 2 18 | 2 32 | 2 46 1 48 1 37

1 36 1 26

1 58

16 17 18 19 20 22 23 24

21 25 26 27

1 24 118 1 12 1 08 1 04 1 00 0 56 0 52 0 49 0 46 0 44 0 41 0 39 0 36 0 34

117 111 1 06 1 02

0 43 | 0 47

1 10

1 04

0 56

0 52 | 0 58 0 49 | O 54 0 46 | 0 51 0 40 | 0 45 0 37 | 0 42 0 35 | 0 39 0 33 | 0 37

0 46 0 43 0 41 0 38 0 35 0 33 0 30 0 28 0 26 0 25 0 23

@ 21 0 12 | 0 16} 0 19] O 23 | O 26 | 0 30

0 38 0 35 0 33 0 30 0 28 0 26 0 24

0 26

1 50 | 2 06 | 2 22 | 2 38 | 2 54] 3 10

1 35 1 24

0 19 | 0 24 0 16 | 0 20

28 29 30

0 32 | 31

0 30 | 0 35 0 28 | 0 32 0 26 | 0 30 0 25 | 0 28

0 22 0 21 0 19 0 17

0 13) 0 17

O11 | 0 15 010) 0 14

& o = 3 2 a ey o a us} q a 2 Oo 2 2 ‘a S “ 3 2 a fe) 3 a a 3 E & o a ey vo & d= @ o q £ o 4 A

800 | 1,000 | 1,200 | 1,400 | 1,600

600

400

So[TUL [eoryneu Uy eoueysT.

1 50 | 2 09 | 2 28

1 34 1 21 1 11 1 03

1 31 117 1 07

1 12 1 01 0 33 | 0 46 | 0 58 | 8 | 0 29 | 0 40 | 0 52

ocooooo

LDN S 19

013} 0 17 | 0 22

0 16] 0 21 0 11

010) 0 14] 0 18

6 | 0 22 | 0 27 | 0 32 5 | 0 20 | 0 25 | 0 30 13 | 0 18 | 0 23 | 0 28

010} @ 15

coooo|ce

32 33 34 35 36 37 38 39 40 41 42 43 44 45

0 26 0 25 0 23 0 21 0 20 0 18 017 0 15 0 14 0 13 0 11 0 10

0 25 | 0 28 0 14 0 12 0 11 0 10

0 21 0 20 | 0 23 0 18 | 0 21 0 17} 0 20 015} 0 18 0 14] 017 012/06 15 011 0 10

0 16 015 0 13 0 12 0 11 0 10

0 14) 0 18 0 13

0 12 0 10

011 0 10

Ono:

TABLE 10.

Distance by Vertical Angle (Distance greater than 5 miles).

Page 134]

“soy Tur

[Page 135

TABLE 10.

Distance by Vertical Angle (Distance greater than 5 miles).

yeorNed at

*So[TUL

eouB4qsId

Difference in feet between height of object and height of eye.

[eoynea ut eouB4siq |

maa dtinlen aroha matnlonaaclHamHtmlon Dad|Han tnlonanmolHaAmMtHinlonnoVWolHaAmatglornaono a tO IAIN CI A. [09 G9 69 9 OD [00 09 09 OD SH ISH SH SH OSH SH SH SH SH SH 29 fil 19 19 19 19 19 19 19 1H BO OGOSOOSCOR Pant 43052) Ca 0 eS eet Le ee ee S LOAD HIMRMOMI®RPENwD|DHMOH/IOHOONMOHHD MD HAOMOlOMMHAIOHNSAM OMB O|WOINMNISANO19 =) Sn lS DHOOM DBHMIANH SOSH HHO MO AAA SAAS IO OO O10 19 19 19 1 HH HH HH 0D 0D OD CD CIM AAA Sa © Oiginddt|HMMMMIMANAAINAAAAING AAAs aA aA HOlIOCOOO|OCOCOOClOSCOCOCSoOloooCSO S Lomemmlounkinmls tHOOd|HRHOR|OKRAO AOMODNAMADMo|HNDWMOhOMHRDIOMNMNS|IARnOWH S SHOMAIS HAAS UAMMINAHOOlI9 19H HOO St O(S OO 1519 id 15.1 HHH SH HD 09/09 cD CD CO MINAAAA Re © OimiNnHHlderea ea calmMANaAA|INaAaaalsadad Ford HHOCICOCOOCO|oOCOCOCO|OoCCOCO|oOCoCCS =) LMMRMDOCIOHHRD\ORHMOlOaNMNRARr loco calor tlae no slo Ho wclsico nooo |hin Hoon 2 DAMA AHH AOhtAHOAlAOOW SH HOO1S O19 1914 [19 1 HH HHH ocd D|eD DMM AINANAA S&S | 2 IOAD HH ti ]09 09 09 69 69 Joa. CNN CN CNN NN dHoddr|HOCOlocOoCOlocCoCCOloCSoSCOCSOlSoooSoS BS [era hr ef Sa A IS a J ee a eS = LO HOR DOINDHMAINH OO hea cp 0000 | MOMMA HODHANOHMDOHAIHOnROd|NHOORP HATO S HAHA DlOMARO/PIHHOAAIOS 15 FOO O15 15 191 19 i HHH HHO cd CD CD/GDMAAAINANAA oS SQN HH HOD CDM MO|NANAAIAAANGH 4 Bonnaipoocolosooclsocoolscocclocooe S LDC OnhsHOnR|ROATMRIHHOHS HMMMOE|ODHNOIDDHNOlARMHAAIHADOM|MAHOW S MOMHO|PMHAOIB|HAMAG|H OMI +H FO OO S/)t5 1919 19. 1 |H HH HH [00 OD CD MD CO|MANAAINAANAG oS SM iDHHHla cD MAINANAAINAG a HHHHHloOOCOOCOloCOCOloCOoCOCOCl|oOcCoCOO|oooSoSO Re NSS SP! | OS BCS Ree oa [LA (a ee ee eee —————————————————————————————— Se Lond tlodNHHlNmMoan|sonoo cnlomHanhsmnoalmmmnaclancwowmlanaor S AWM wW|MAHOM|HAATH|OS19H H Swphsaidintt|HtHAalomanDlnnnaalaaaad ey SAHA Hepleo MMMMAINANNAINA G4 Holooococolocoooloococolocoooloooso fe Le a a PN Nt re cel ee eed ae aN a a ee ee Se LC mnamolanommlondtolNon0ON R orinladarwlanonchoemHoD|Riodmnlomrom = BANSOTMASOMHMANTO|Ois1IO HH IDIiDDd IO HAHA HHA OMA AMMMDAINAANAAIA Gad Py SDH ealmMMMAAINANNAAINGAG a coloocooloocooclocoocolosccosolocoosco be |S em is ne RRND Na | real i OR eS | ee ee —————————E—E————E——————E—_———— S CMO DDO HHRROHMOAMDIRAKR AD Non umlHonwnsmHOAnodt|maQMonoHtANrolononmcd S OMADOINAHMOAAIMAROS|iNiot HO O19 19 19 In HHH HHA cD MA|HMANAINANAAIGaa do o Sind mM|MMAANAINANAAAAadad AHOColooCOCOCloOCOCOCOloOoCSCSCOC|SoOoOCSCSOlOSCSOOS S COD RIOR | Hod 69 cH 19 00 19 00 09 00 09 00 H CHinMO|WOHAOIAN MHA RWOM| MAT OD|ROWHA S IDA OH | O19 HoaIN AH Cid jin Hod 00 510 19 19 1 SH SH SH HH /69 OD OD CD CID NANAINANS A aaa ey CH HMMM MANAINANAK dada HoooolooooolococoolooooSoloososcolocooso S CARR OMIOCORKRAlOMOOH|ODHAHS NAIRANCMIOHNOCD|RoMACOROHMIHOMrOIHOHO Ss HID A) HAAN HO O14 | HO 00 00 O19 [15 15 19 1D HI HH Hed CD OD OD COMINAANAINGAGA aad ws CH MMMIAANNANAINAAAR| Aad nHolocooolocoooloooooc|loeosoSclosooo|locoscoo | S LNDOHOlMHHAMhOHINO|HOMAh DoltrannilmnonolHmHoDmlomnHtAnd|aoron|nano Ss DOH OID HOA|H OO D/H HodOON DiIDo IN HA AHH Hod MMM MO MDAINAANAISH adda isa ws | ° Hep ED CODA AAAI a a att colocoococlocooolococoooclooscoSolocoosco|oosco S LNOEMHoOHHOnlamoonlowdnc DOOHHORINMIHOROH|NGRARO|WMANCAIMOMHHINS S ABDMAASDAMAHIOSOMMHHMOOAN 1DIDID NOAA HHO aDMMD|MMANAINANA S| aaa aa [a Noy CHOCO OINANAAINA GH daar ecojscooojsosoojsssoessesesjosoeo|oo [eS [ee SUS [pe ER ee Se pelt | AN MH DIOR DROAMHDORh NODS Hao RO MOH AID HiQlOR ODO ACA HID|ON OROlAANM H19|O PD ORO SoS SANA AANNINANA GD G9 0 [OD CD OD OO SH ISH SH HSH SH SH HH HD [19 19 1919 19.1 ID HG|O DHGO|SCOCON

Page 136]

Distance by Vertical Angle (Distance greater than 5 miles)

TABLE 10.

ag af Difference in feet between height of object and height of eye A ASS a: $35 s Zar 8,000 | 8,200 | 8,400 | 8,600 | 8,800 | 9,000 | 9,200 | 9,400 | 9,600 | 9,800 A ° ° ° , ° , ° , ° , ° , ° ° ’ ° , ° , ° , 16 | 4 4 4 34] 4 41 | 4 48} 4 55 | 5 02 | 5 09] 5 16] 5 23] 5 30] 5 87 | 16 17 | 4 4 417} 4 24] 4 30] 4 37 | 4 44 | 4 50 |] 4 57 | 5 03 | 5 10] 5 16] 17 18} 3 3 402 |}408|4 15] 4 21 | 4 27] 4 83] 4 39 | 4 46 | 4 52 | 4 58] 18 19] 3 3 3 48 | 3 54] 400] 4 06 | 4 12 | 4 18] 4 24 | 4 30 | 4 86 | 4 42 | 19 20 | 3 3 3 36 | 3 41 | 3 47 | 3 53 | 3 58 | 4 04 | 4 09 | 4 15) 4 20 | 4 26 | 20 21/3 14|3 19] 3 25] 3 30 | 3 35 | 3 41} 3 46 | 3 51 | 3 57] 4 02 | 4 08 | 4 13 | 21 22 | 3 04 |] 3 09 | 3 14] 3 20 | 3 25 | 3 30 | 3 35} 3 40 | 3 45] 3 501] 3 56 | 4 O1 | 22 23 |} 255} 3 00 | 3 05 | 3 10} 315] 3 20 | 3 25 | 3 30} 3 34] 3 39 | 3 44 | 3 49 | 23 24 | 2 48 | 2 52} 2 56] 3 01 | 3 06 | 3 10] 3 15} 3 20 | 3 25 | 8 29 | 3 34 | 3 39 | 24 25 | 2 40 | 2 44 | 2 49 | 2 53 | 2 57 | 3 02 | 3 06 | 3 11} 3 15] 3 20 | 3 24] 3 29 | 25 26 | 2 32 | 2 36 | 2 41 | 2 45 | 2 49 | 2 54 | 2 58 | 3 02 | 3 07 | 3 11 | 3 16] 3 20 | 26 27 | 2 26 | 2 30 | 2 34 | 2 38 | 2 42 | 2 46 | 2 51} 2 55 | 2 59 | 3 03 | 3 07 | 3 12 | 27 28 | 2 20 | 2 24 | 2 27 | 2 31 | 2 35 | 2 39 | 2 43 | 2 47} 2 51 | 2 55 | 2 59 | 3 03 | 28 29 | 2 14] 2 18} 2 21 | 2 25 | 2 29 | 2 33 | 2 87 | 2 41 | 2 45] 2 49 | 2 53 | 2 56 | 29 30 | 2 08 | 2 12 | 2 16 | 2 19 | 2 23 | 2 27 | 2 31 | 2 34 | 2 38 | 2 42 | 2 46 | 2 49 | 30 31 | 2 03 | 2 06 | 2 10 | 2 14] 2 18 | 2 21 | 2 25 | 2 28 | 2 32 | 2 36 | 2 40 | 2 43 | 31 32 | 1 58 | 2 02 | 2 05 | 2 08 | 2 12 | 2 16 | 2 20 | 2 23 | 2 27 | 2 30 | 2 33 | 2 37 | 32 33 |] 1 54 | 1 57 | 2 00 | 2 04} 2 07 | 2 11 | 2 14] 2 18) 2 21 | 2 24 | 2 28} 2 31 | 33 34] 1 49] 1 53} 1 56] 1 59 | 2 02} 2 06 | 2 10 | 2 13} 2 16 | 2 19 | 2 23 | 2 26 | 34 35 | 1 45 | 1 48 | 1 52 | 1 55 | 1:58} 2 O01 | 2 05} 2:08 | 2 11} 2 14 | 2 17 | 2 20 | 35 36 | 1 1 148); 1 51 | 1 54} 1 57] 2 00} 2 03 | 2 06 | 2 10 | 2 13 | 2 16 | 36 37 | 1 1 1 44] 1 47] 1 50] 1 53] 1 56] 1 59 | 2 02 | 2 05} 2 08 | 2 11 | 87 38 | 1 1 1 40] 1 438 | 1 46} 1 49] 1 52] 1 55] 1 58] 2 O1 | 2 04 | 2 07 | 38 39 | 1 1 1 36} 139 | 1 42 | 1 45) 1 48] 1 51 | 1 54] 1 57) 2 00 | 2 02 | 39 40) 1 1 1 33 | 1 36 | 1 39 | 1 41 | 1 44] 1 47) 1:50] 153) 1 56 | 1 58 | 40 41/1 1 1 30} 1 82) 1 35 | 1 38 | 1 41 | 1 48] 1 46) 1 49 | 1 52] 1 54 |} 41 42 )1 1 1 27] 1 29} 1 32) 1 35] 1 87} 1 40] 1 43] 1 45] 1 484) 1 51 | 42 43) 1 1 1 24] 1 26] 1 29] 1 31] 1 84) 1 87 | 1 389] 1 42) 1 45] 1 47 | 43 44) 1 1 1 21} 1 23] 1 26) 1 28} 1 31] 1 33 | 1 86] 1 39) 1 41) 1 44 | 44 45) 1 1 118} 1 21] 1 23) 1 25} 1 28] 1 30] 1 83 | 1 35) 1 38] 1 40 | 45 46) 1 1138} 115;) 118] 1 20] 1 23] 1 25) 1 27) 1 80] 1 32} 1 35] 1 37 | 46 47] 1 110|113; 115) 1 18) 1 20] 1 22 | 1 25] 1 27) 1 29] 1 82) 1 34 | 47 48] 1 108 {}110/112]115)117/)]1 19] 1 22] 1 24) 1 26] 1 29] 1 31 | 48 49/1 105}108]110)]112)115;]117) 119) 1 21) 1 24] 1 26) 1 29 | 49 50 | 1 103} 105 {1 08{]1 10) 112] 114) 117) 119) 1 21] 1 23 | 1 26 | 50 51] 059] 101 |103)105;1 08); 110) 112) 114) 116/119] 1 21] 1 23] 51 52 | 0 57/0 59] 1 01] 103] 105]108) 109); 112) 1 144) 1:16] 1 18) 1 20 | 52 53 | 0 54] 0 57 | 0 59 | 1 O01} 1038) 1 05] 1:07) 1:09) 1:12) 1144) 1:16) 1 «18 ] 53 54 | 0 52 | 0 55 | 0 57] 0 59} 1 O01} 1038] 105)] 107) 110) 111)118) 1154 54 55 | 0 51 | 0 538 | 0 55] 0 57 | 0 59 | 1 01 | 1:03} 1:05] 107] 109) 1 11) 1:13 *4 55 56 | 0 49 | 0 51 | 0 53] 0 55 | 0 57 | 0 59] 1 O01} 1:03; 1:05 | 1:07) 1:09) 1 11 | 56 57 | 0 47 | 0 49] O 51] 0 53 | 0 55] 0 57] 0 59] 1 O1 | 1:03 | 1:05 | 1:07 | 1 09 | 57 58 | 0 45 | 0 47] 0 49} 0 51 | 0 53} 0 55] 0 57] 0 59} 1 O01} 1:03] 1:05] 1 06 | 58 59 | 0 43 | 0 45 | 0 47 | 0 49} 0 51 | 0 53] 0 55 | 0 57 | 0 59] 1 01} 1 03) 1 04 | 59 60 | 0 42 | 0 48 | 0 45 |] 0 47 | 0 49 | 0 51 | 0 53 | 0 55 | 0 57 | 0 59} 1 00 | 1 02 | 60 61 | 0 0 0 43 | 0 45 | 0 47] 0 49 | O 51 | 0 53] 0 55 | 0 57 | O 58] 1 00 | 61 62 | 0 0 0 42 | 0 44 | 0 45 | 0 47] 0 49] 0 51] O 53 | O 55 | O 56] O 58 } 62 63 | 0 0 0 40 | 0 42] O 44] O 46 | O 47 | 0 49 | 0 51 | 0 53} O 55 | O 56 | 63 64 10 0 0 38 | 0 40] 0 42 | 0 44 | 0 46 | 0 47 | 0 49} 0 51] 0 53] O 55 | 64 65 | 0 0 0 37 | 0 39 | 0 40 | 0 42 | 0 44 | 0 46 | 0 47 | 0 49 | O 51 | O 53 | 65 66 | 0 0 0 35 | 0 37] 0 39 | 0 41 | O 42 | O 44 | O 46 | O 47 | 0 49] O 51 | 66 67 | 0 0 0 34] 0 36] 0 37] 0 39 |] O 41 | O 42 | O 44 | O 46 | O 47 | 0 49 | 67 68 | 0 0 0 32] 0 34] 0 36} 0 37] 0 39 | O 41 | O 42 | 0 44 | O 46 | O 47 | 68 69 | 0 0 0 31 | 0 33 | 0 34] 0 36] 0 37 | 0 39 | O 41 | O 42 | O 44 | O 46 | 69 70 | 0 0 0 30} 0 31} 0 33 | 0 34] 0 386 | 0 38 | 0 39 | 0 41 | 0 42 | O 44 | 70 71) 0 0 0 28 | 0 30] 0 81 | 0 83 | 0 84] 0 86] 0 88] 0 89] 0 41 | 0 42 | 71 72 | 0 0 0 27 | 0 28 | 0 30 | 0 31 | O 33} 0 35 | 0 36 | 0 38 | 0 39 | O 41 | 72 73 | 0 0 0 25 | 0 27! 0 28] 0 30] 0 32 | 0 33 | 0 35 | 0 36} 0 88 | 0 39 | 73 74|0 0 0 24 | 0 26 | 0 27 | 0 29} 0 30 | 0 32 | 0 33 | 0 85] 0 36] 0 38 | 74 75 | 0 0 0 23 | 0 24 | 0 26 | 0 27 | 0 29 | 0 30 | 0 32 | 0 33 | 0 35 | 0 36 | 75

TABLE 10. [Page 137 Distance by Vertical Angle (Distance Greater than 5 miles).

as Difference in feet between height of object and height of eye. As = On eg EEE A Ag 10, 000/10, 500/11, 000)11, 500/12, 000|12, 500/13, 000/13, 500/14, 000/14, 500/15, 000/15, 500 2 Ae ° , ° ’ ° ’ ° , ° , ° , ° ’ ° LZ ° Ul ° ’ ° , ° 21) 418] 4382|445)|458]5 12] 5 25 | 5 38] 5 52 | 6 05 | 6 18] 6 32 | 6 22] 406] 4 18] 4 31 | 4 44] 4 57 | 5 09 | 5 22 | 5 35 | 5 47 | 6 00 | 6 13] 6 23] 3 541406 | 419] 4 81] 4 438 | 4 55] 5 07 | 519] 5 31] 5 438 | 5 56] 6 2413 43|355]407/|4 19] 4 380] 4 42 | 4 54/505 | 5 17] 5 29] 5 40] 5 25) 3 33 |3 45 | 3 56 | 4 07/4 18 | 4 380 | 4 41 | 4 52 | 5 03 | 5 15 | 5 26] 5 26 | 3 24/3 35 | 3 46 | 3 57/408] 418) 4 29] 4 40) 4 51/5 01) 5 12] 5 27 | 3 16] 8 26 | 3 87 | 3 47 | 3 57 | 4 08 | 4 18 | 4 29 | 4 39 | 4 49} 5 00] 5 28} 308 | 3 18 | 3 28 | 3 88] 3 48] 3 58 | 4 08 | 4 18 | 4 28 | 4 38 | 4 48 | 4 29 | 3 00 | 3 10 | 3 20 | 3 30] 3 39 | 3 49 | 3 59 | 4 08 | 4 18 | 4 28 | 4 37 | 4 30 | 2 53 | 3 03 | 3 12 | 3 22 | 8 31) 3 40 | 3 50 | 3 59 | 4 08 | 4 17 | 4 27) 4 31 | 2 47 | 256 | 3 05 | 3 14 | 8 23 | 3 32 | 3 41 | 3 50 | 3 59 | 4 08 | 4 18) 4 32 | 2 41 | 2 50 | 2 58 | 3 07 | 3 16 | 3 25 | 3 33 | 3 42 | 3 51 | 4 00 | 4 09 | 4 33 | 2 35 | 2 44 | 2 52 | 3 00 | 3 09} 3 17 | 38 26 | 3 34 | 3 43 | 3 51 | 4 00 | 4 34 | 2 29 | 2 38 | 2 46 | 2 54 | 3 02] 3 10 | 3 19 | 3 27] 3 35 | 3 43 | 3 52 | 4 35 | 2 24 | 2 32 | 2 40 | 2 48 | 2 56 | 3 04 | 3 12 | 3 20 | 3 28 | 3 36 | 3 44/3 36 | 219 | 2 27 | 2 34] 2 42 | 2 50] 2 58 | 3 06 | 3 13 | 8 21 | 3 29 | 3 37 | 3 37 | 2 14] 2 22 | 2 29 | 2 837 | 2 45 | 2 52 | 3 00 | 3 07 | 3 15 | 3 22 | 3 30] 3 38 | 210] 217 | 2 24 | 2 32 | 2 40 | 2 47 | 2 54] 3 O01 | 3 09 | 3 16] 3 24] 3 39 | 2 05 | 2 13 | 2 20 | 2 27 | 2 35 | 2 42 | 2 49 | 2 56] 3 03 |] 3 10 | 3171] 3 40 | 2 01 | 2 08 | 2 15 | 2 22 |) 2 29 | 2 36 | 2 48 | 2 50 | 2 57 | 3 05 | 3.12] 3 41 | 157] 2 04) 211 | 2 18 | 2 25 | 2 32 | 2 38 | 2 45 | 2 52 | 2 59 |] 3 06] 3 42 | 1 53] 2 00 | 2 07 | 2 14 | 2 20 | 2 27 | 2 34 | 2 40} 2 47 | 2 54 | 3 00] 3 43] 150] 1 57 | 2 03 | 2 10 | 2 16 | 2 22 | 2 29 | 2 36 | 2 42 | 2 49 | 2 55] 3 44] 146] 1 53] 159 | 2 06] 2 12 | 2 18} 2 24 | 2 31 | 2 38 | 2 44 | 2 50 | 2 45] 143] 1 49 | 1 56 | 2 02 | 2 08 | 2 14 | 2 20 | 2 27 | 2 33 | 2 39 | 2 46 | 2 46 | 140|1 46) 1 52/1 58 | 2 04 | 2 10 | 2 16 | 2 23 | 2 29 | 2 35 | 2 41 | 2 47 | 137] 1 43 | 1 49] 1 55 | 2 01 | 2 07] 2 13 | 2 19] 2 24 | 2 30 | 2 36 | 2 48} 134] 140] 145] 1 51 | 1 57 | 2 03 |] 2 09 | 2 15 |] 2 20 | 2 26 | 2 382 | 2 49 | 1 31 | 1 37] 1 42 | 1 48] 1 54) 1 59 | 2 05 | 2 11 | 2 17 | 2 23 | 2 28 | 2 50 | 1 28 | 1 34] 1391] 1 45 | 1 50] 1 56 | 2 02 | 2 07 | 2 13 | 2 19 | 2 24 | 2 51 | 1 25 | 1 31 | 1 36| 1 42 | 1 48) 1 53] 1 58 |] 2 04] 2 09 | 2 15 | 2 20 | 2 52 | 1 23 | 1 28 | 1 33] 1 39] 1 44] 1 50] 1 55 | 2 O01 | 2 06 | 2 11] 2 17 | 2 53 | 1 20] 1 25] 1 31] 1 36] 1 41 | 1 47] 1 52 | 1 57] 2 03 | 2 08 | 2 13 | 2 54]117] 123] 1 28] 1 33] 1 388] 1 44] 1 49] 1 54] 1 59 | 2 05 | 2 10 | 2 55 | 115 | 120] 1 25) 1 30} 1 36] 1 41 | 1 46] 1:51) 1:56 | 2 O1 | 2 06 | 2 56 | 113|118| 1 23 | 1 28] 1 33] 1 388] 1 48] 1 48} 1 53 | 1 58 | 2 03 | 2 57 | 111/]1 16] 1 20] 1 25] 1 30] 1 385] 1 40 | 1 45) 1 50] 1 55 | 2 00 | 2 58 | 108 ]113/] 118] 1 23] 1 28} 1 82] 1 37 | 1 42 | 1 47] 1 52) 1 57 | 2 59 | 106|111/|1 16] 1 21] 1 25] 130] 1 35 | 1 39 | 1 44] 149) 1 54) 1 60 | 1 04] 109] 114/118] 1 23) 1 28] 1 82 | 1 37) 1 42 / 1 47) 1 «51 ] 1 61 | 1 02 | 1 07 | 1 11] 1 16/1 21 | 1 25) 130) 1 34) 139) 1 44/)1 48/1 62} 100] 105] 109] 114/118] 1 23] 1 27} 1 382] 1 36) 1 41) 1 45) 1 63 | 0 58 | 1 03 | 1 07 | 1 12] 1 16] 1 20] 1 25] 1 29) 1 34) 1 388] 1 48) 1 64] 056 | 101 | 105 |1 10) 114] 118) 1 23] 1 27) 1 31) 1 36] 1 40) 1 65 | 054 | 059] 103] 107/112) 116] 1 20 | 1 25] 1 29] 1 84] 1 388] 1 66 | 053 | 057 | 1 01 | 105/110] 1 14) 118) 1 22) 1 27) 1 381) 1 35) 1 671051] 055 | 059] 103) 108) 112) 116] 1 20) 1 24] 1 29] 1 83) 1 68 | 0 49 | 0 53 | 0 57 | 101 | 1 06] 1 10] 1 14] 118) 1 22) 1 26) 1 30) 1 69 | 0 47 | 0 51 | 0 56 | 1 00} 1 04 | 1 08 | 1 12] 1 16} 1 20) 1 24] 1 28) 1 70 | 0 46 | 050] 0 54/058] 102!1 06) 110) 114] 1 18] 1 22/1 26/1 71 | 0 44/0 48 | 0 52/0 56] 1 00/104) 108)112)1 16) 1 20) 1 24/1 72 | 0 42/046] 050] 0 541 0 58] 102) 106) 110] 1 14) 1 18) 1 22/1 7310 41/0 45/0 49/052] 056 | 100] 1 04} 108} 112) 116) 1 20) 1 7410 39 | 0 43 | 0 47 | 0 51 | 055 | 0 58 | 1 02 | 106/110) 1 14)118)1 751038 | 0 42 | 0 45 | 0 49 | 0 53] 0 56] 1 00 | 1 04] 1:08} 1:12) 116) 1 7610 36 | 0 40 | 0 44 | 0 47 | 0 51 | 055 | 0 58 | 102] 106) 1 10/1 14/1 771035 |0 39 | 0 42 | 0 46] 0 49 | 0 53 | 0 57 | 100} 104] 1 08/1 12) 1 78 | 0 33 | 0 37] 0 41 | 0 44] 0 48] 0 51/0 55] 059] 102] 106) 1 10) 1 79 | 0 32 | 0 36 | 0 39 | 0 43 | 0 46 | 0 50 | 0 53 | 0 57} 100/ 104/107) 1 80 | 0 31 | 0 34 | 0 38 | 0 41 | 0 45 | 0 48 | 0 52 | 0 55 | 0 59 |] 1 02] 1 06) 1 81 | 0 29 | 0 33 | 0 36 | 0 40 | 0 43 | 0 47 | 0 50 | 0 54) 0 57] 1 01/104) 1 82 | 0 28 | 0 31 | 0 35 | 0 38 | 0 42 | 0 45 | 0 49 | 0 52] 055 ]059) 1 02) 1 83 | 0 27 | 0 30 | 0 33 | 0 37 | 0 40 | 0 43 | 0 47 | 0 50 | 0 54 | 0 57/100) 1 34 | 0 25 | 0 29 | 0 32] 0 35 | 0 39 | 0 42 | 0 45 | 0 49 | 0 52 | 0 56] 0 59) 1 85 | 0 24 | 0 27 | 0 31 | 0 34 | 0 37] 0 41 | 0 44 | 0 47] 0 50 | 0 54] 0 57) 1

Page 138] TABLE 11. For finding the distance of an object by an angle, measured from an elevated position, between the object and the horizon beyond. i

Height of the Eye Above the Level of the Sea, in Feet.

~ °

14 47 | 16 34 19 58 | 21 37 10 13 | 11 08

Hee ee] po peor Re. Boe

Ee] howto OuUlm AN et EH] bo Oo RCO 0

SCOr WAH FPOoOnmRIS WOO HE OVS 00 bo eb

bobo bow oneko INH

va) Rete OHH BONE

HY ee S Peete IROIe oS oC) Ono

Bite ee ee ee ABO ISH

TABLE 12. ve ai [Page 139

Speed in knots developed by a vessel traversing a measured nautical mile in any given number of | minutes and seconds. i

Number of minutes.

1 2 3 4 5 6 7 9 10

0 | 15. 000} 12. 000} 10. 000] 8. 571 6. 666 | 6.000 | 5. 455 | 5. 000 f 29. '752| 19. 890} 14. 938] 11. 960] 9.972) 8. 551 6. 654 | 5.990 | 5. 446 | 4.993 29. 508] 19. 780] 14. 876] 11. 920} 9.944) 8.530 6. 642 | 5. 980 | 5. 438 | 4. 986 29. 268] 19. 672] 14. 815] 11. 880] 9.917) 8. 510 6. 629 | 5.970 | 5.429 | 4. 979 J 29. 03219. 565] 14. 754} 11. 841] 9.890] 8. 490 6. 617 | 5. 960 | 5. 421 | 4. 972 §

28, 800] 19. 460] 14. 694/11. 803] 9. 863) 8. 470 6. 605 | 5. 950 | 5. 413 | 4. 965 |

28, 571] 19. 355 | 14. 634) 11. 764) 9.836] 8. 450 | 7. 6.593 | 5. 940 | 5. 405 | 4. 958 }

28. 346] 19. 25114. 575 |11. 726] 9.809) 8.430 | 7. 6. 581 | 5.930 | 5. 397 | 4. 951 f

28. 125} 19. 149 | 14. 516 |11. 688] 9. 783} 8. 411 6. 569 | 5. 921 | 5. 389 | 4. 945 |

27. 907 | 19. 048 |14. 458 |11. 650] 9. 756} 8.392 6.557 | 5. 911 | 5. 381 | 4. 938

27. 692 | 18. 947 | 14.400] 11.613) 9.729) 8.372 6.545 | 5.902 | 5.373 | 4.932 |

27. 481 | 18. 848 | 14. 342) 11.575) 9.703) 8.353 | 7. 6.533 | 5.892 | 5.365 | 4.924 | 27.273 | 18. 750 | 14. 286 | 11.538] 9.677) 8.334 | 7. 6.521 | 5.882 | 5.357 | 4.918 |

27. 068 | 18. 652 | 14. 229] 11.501] 9.651) 8.315 6.509 | 5.872 | 5.349 | 4.911 |

26. 866 | 18. 556 | 14.173 | 11.465 | 9.625] 8.295 6.498 | 5.863 | 5.341 | 4.904 |

26. 667 | 18. 461 | 14.118 | 11.428) 9.600) 8.276 6. 486 | 5.853 | 5.333 | 4. 897 |

26. 471 | 18. 367 | 14. 063 | 11.392] 9.574] 8. 257 6. 474 | 5.844 | 5.325 | 4.891 |

26. 277 | 18. 274. 14.008 | 11.356] 9.549) 8. 238 6.463 | 5.834 | 5.317 | 4. 884

26. 087 | 18. 182 | 13. 953 | 11. 321] 9.524) 8.219 6.451 | 5.825 | 5.309 | 4.878 |

25. 899 | 18. 090 | 13. 900 | 11. 285] 9.499} 8. 200 6. 440 | 5.815 | 5.301 | 4.871

25. 714| 18. 000 | 13. 846 | 11.250) 9.473] 8.181 6. 428 | 5. 806 | 5. 294 | 4. 865 |

25. 532| 17.910] 13.793] 11.214] 9.448] 8.163 6.417 | 5.797 | 5.286 | 4. 858 |

25. 352| 17. 822 | 13. 740} 11.180] 9.424) 8.144 6.405 | 5.787 | 5.278 | 4. 851 25.175 | 17. 734 | 18. 688 | 11.146) 9.399) 8.126 6. 394 | 5.778 | 5.270 | 4. 845 |

25. 000 | 17. 647 | 13.686 |11.111] 9.375) 8.108 6. 383 | 5. 769 | 5. 263 | 4. 838

24, 828 | 17. 560 | 13.584] 11.077) 9.350] 8.090 6.3871 | 5.760 | 5. 255 | 4. 832 |

94, 658 | 17. 475 | 13.533 | 11.043) 9.326] 8.071 6. 360 | 5.750 | 5.247 | 4. 825

24. 490 | 17. 391 | 13. 483 ]11.009| 9.302) 8.053 6. 349 | 5.741 | 5.240 | 4.819

24, 324| 17. 307 | 13.483 | 10.975] 9.278] 8.035 6. 338 | 5.732 | 5.232 | 4.812

24, 161 | 17. 225 | 13. 383 | 10.942 |_9.254| 8.017 6.327 | 5.723 | 5. 224 | 4. 806 |

24, 000 | 17. 143 | 13.333 |10. 909} 9.230} 8.000 6.315 | 5.714 | 5.217 | 4.800

23. 841] 17. 061 | 13. 284] 10.876] 9.207] 7.982 6. 304 | 5.705 | 5.210 | 4. 793 |

23. 684 | 16. 981 | 13. 235 | 10. 843] 9.183) 7.964 6. 293 | 5.696 | 5. 202 | 4.787 4 23.529 | 16. 901 |13.186|10.81C| 9.160) 7.947 6. 282 | 5.687 | 5.195 | 4.780 |

23. 377 | 16. 822 | 13. 188 | 10. 778 |_9. 137 |_7.929 6.271 | 5.678 | 5.187 | 4. 774 |

23, 226 | 16. 744 | 13. 091 |10. 746| 9.113] 7. 912 G. 260 | 5. 669 | 5.179 | 4. 768 | 23.077 | 16. 667 | 13. 043 ]10. 714| 9.090) 7.895 | 6. 6. 250 | 5.660 | 5.172 | 4. 761

22. 930 | 16. 590 | 12. 996 |10. 682] 9.068) 7.877 6. 239 | 5.651 | 5.164 | 4. 755 | 22.785 | 16.514| 12.950 |10. 651) 9.045) 7.860 6. 228 | 5.642 | 5.157 | 4.749 |

22, 642) 16. 438 | 12. 903 |10. 619 | 9.022 7.843 6.217 | 5.633 | 5.150 | 4. 743 }

22, 500} 16. 363 | 12. 857 |10. 588) 9.000] 7. 826 6. 207 | 5.625 | 5.143 | 4.737 | 22. 360 | 16. 289 | 12. 811 }10.557| 8.977) 7.809 6.196 | 5.616 | 5.135 | 4.731 | 22, 292 16. 216 | 12. 766 | 10.526 | 8.955) 7. 792 6.185 | 5.607 | 5.128 | 4.724 | 22. 086 | 16. 143 | 12. 721 |10. 495 | 8.933) 7.775 6.174 | 5.598 | 5.121 | 4.718 21. 951 | 16. 071 | 12. 676 10.465) 8.911) 7.758 6.164 | 5.590 | 5.114 | 4.712 | 21. 818 | 16. 000 | 12. 631 | 10.484) 8.889} 7. 741 6.153 | 5.581 | 5.106 | 4. 706 | 21. 687 | 15. 929 | 12. 587 | 10.404] 8.867] 7.725 6.1438 | 5.572 | 5.099 | 4. 700 | 21.557 | 15. 859 | 12. 543] 10. 375| 8.845) 7.708 6.132 | 5.564 | 5.091 | 4. 693 21. 429 | 15. 789 } 12. 500 | 10. 345] 8.823) 7.692 6.122 | 5.555 | 5.084 | 4. 687 | 21. 302 | 15. 721 | 12. 456 | 10. 315} 8.801) _7.675 6.112 | 5.547 | 5.077 | 4. 681 | 21. 176 | 15. 652 | 12. 413 |10. 286] 8.780) 7.659 6.101 | 5.538 | 5.070 | 4.675 | 21. 053 | 15.584 | 12. 371 |10. 256| 8.759) 7. 643 6.091 | 5.530 | 5.663 | 4. 669 | 20. 930 | 15. 517 | 12. 329 |10. 227] 8.737) 7.627 6.081 | 5.521 | 5.056 | 4. 663 20. 809 | 15. 450 | 12. 287 |10. 198] 8.716) 7.611 6.071 | 5.513 | 5.049 | 4. 657 } 20. 690 | 15. 384 | 12. 245 |10.169| 8.695 | 7.595 6.060 | 5.504 | 5.042 | 4.651 | 20. 571 | 15. 319 | 12. 203 )10. 140} 8.675) 7.579 6. 050 | 5.496 | 5.035 | 4. 645 20. 455 | 15. 254 | 12. 162 |10. 112) 8.654) 7.563 6.040 | 5.487 | 5.028 | 4. 639 | 20. 339 | 15. 190 | 12. 121 |10. 084] 8.633) 7.547 6.030 | 5.479 | 5. 020 | 4. 633 | 20. 225 | 15. 126 | 12. 080 ]10. 055} 8.612) 7.531 6.020 | 5.471 | 5.013 | 4.627 20. 112 | 15. 062 | 12. 040} 10.027) 8.591) 7.515 6.010 | 5.463 | 5.006 | 4.621

OCONMAPwWHHO

3 4 5 6 q 9 10 11 12 |

TABLE 13.

Time Speed and Distance.

Page 140]

CHOON

AMOWDOINHTOWOINWOWO

AWODOINGOWO APTODONAWSNDOINHPODSOINHONOINHONDOINTDODOINHTODOS

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OO ON 69/19 Pe Or OD sddde|sadcslassc

ata Ses EFS CAI) PS TE TSI EIT SIT Ra oe Beoss

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Speed in knots.

CS i cd cen i NN 005 015 015 015 015 | 015 SH HH th a tt tha 25 15 159 1515 1S HOO OO COS |S DHOOM

| OO HOMO OM HOM OOM HOM O(O 40) H 19 [I+ 0 Orie HIDE OH OlA AHN |DOMAHPLO PD ODN HID DOONAN HO | ro} Hd De ete Hees AOD HID Be 100 Od AON OD[ID OLD DOR OD HIDEO AANMINOMm DOO HOE |WDRAAND/INDOm AO

FD ODO AOA HINSOAHOMM HIN OD| BOM HIDOWHDO i ila cd cl i i aN nd 8 05 015 J 015 015 15 5.5 [05 aH tl i i [tt ti SH Had fad 1525 2 15 WD ON DISA AMDH/INNOAS

| FO HID OI DAA ACD HiD DO O|DOGNAMINOM OW AON CD H19 OMADORMINGD HOM|ORD Or)

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(on baa Glaraea| eei Tae a cinaidalsininciedciasedciidesde ida acicsoldddilsccdclscden

Be a la allel cl i al cial al a 08 05 Jed 015. 05 015 5 ]015 5.015 Ord | tl tH tl Ht | tl Hd Jd 29 295 1825 [19 15 109.19

a Dror O80

eee a gat Sods aI AAAI AN AIAN AN Jad CN 05 09 05 ]05 065 015 05 05 015 015 05 Hi tl tt SH i i tt 5 25 1 25 1 1915 Picci acictetei[eotcicvelavei ai tet|psesesedeseeseScied ted a

| TION GD HID | Ob OO DIO ACD HID OD 1D OMAN CO | H 19 OE 00 DOD OPA [CD SHIDO P| D OA OD HD

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16 6 e 1 é é 16 3S 7) 16 Ye) 16

0 6 SH LD © [P= 00 C0 > © Boda Ali allali nl al lai lai ai cd cl cd [05 05 05 05 06 ]05 06 05 09 05 fod 05 HH ti] SH i Hl ti HS

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OR OD Ol A109 H 191 B00 MO] AOD HID OD O[ PA 6D H 19 OP ORDO

Min- utes.

[Page 141

TABLE 13.

Time Speed and Distance,

1 OD BR SHIN Pa HS rt H]00 tH 00 119 00 19 COD 2 AI IDI MD AO MD OD!CO MD ODO O|M OOM MODE ODN Hird 00 419 0/419 COI Ss S CAA AINAN Sed lS HAAS hS SG SSSIN EN OH AIABAASSSSHAAINA edad HAA iS SPS SSSN/KRAHAHIGDBAASSS a SS SSS SSNS ANAS SSS SS SASS SSI NN MIrHOMN|OCHONOMDROMK OME OMNN/OMROM/KOMNOIMROMN/OMNNOM|FONNOIMEONN/ONNFOMFONMtS a S CHA AINAA SS lSAAA ISHS HSSSIN EN ADIDAS ASISSHAAINAN Bod los HH AIS hS HSSSIN EN WOH SBADS bes hs oD | 16 COP SOD DODO DODO DAO DAD DAVID | 219 CO td CO A HOO HIS aH OWN OLN OM OOM ORM/ORNOAINIOA AIO a S CHA AINAAN A SH GAA AHS id iSSSISREN DAHA BABISSSHAAAAA 65 led 05 HH Hid 15 15:19 S/O OME 106 0 OS = Phi eh hale heii halt all elt Daa USI Tia al tC J MOOMOl|ANDAAMN ODAHOAHROM|ROMOAINOAAI/OAN OF HROTN/OMOAMD/OCANDOINN ON HRA Oo @ | S ‘HHH Hoicicied Bosddidhs cs sSSolennNnlsdddaalasscrdld dai aiailes ocsed vi Beas ig slkS SGNNIN Godcdos Ds ee Boe 1 ODO > OVID VD CO IHR OOD OID AO DAD CH HE 1O 09 0 DODO DAVIN CHE OMD/OOMODINIDD HS OMN ODOR AID oo S CAAA AN ed [OS OSA AA His isis SISSMEN HH AAABIAASSSAAAA|A 66 09 09 05 [HHH 15 15 OOO |S = De cD en OO ee ee ee es ee he Oe Oe Oe | Cr) 66 SHH his od peed red red rl 5 16 CD DD VD ]OO DCD DOV 19 00 rat H [> O09 19) 00 at HIS O09 OD VID COO OD OD ALD CO a HE 1 09.19 CO A SHI OCD OID AID CO O/OM OD A109 r=) eS SAAN NA Ad Sed Adidas is SISSSKRN INK OA DISAGHAAGSSSHAAINAAN Add lod oS HH Haid id id SISOONE g = Be De Be Oe OD ee en ee Ds | &| ODO OAH OOO Ol HE O09 19 C0 HE |S O19 00 SHS DO 1900 HHO DIA ID WD A MD/OAAIOQD/ OM OAANLON OM O01 AHO SB] | 6° Cddinadad Sows [Aas ig islSSSSNINEN AA AADASBASISSSHAHAANA AOS os cd od Hl Hidid Ghd SOOM S Se ee re DO Os Oe Os | a

OD OOO HES OOD OOD OD HE OANID/O ODO DIN HE O09 [19 CO HHO! AIDE 0/09 0 C0 HIS DAIDD/OM OAH OND Mes SOSH [Hard isg s SG SSS AAMAS AGSSSSHHAAA AA A o5 05 od | tH Hridhd 15 S55

DO Rae Oa Breen cee rs hc rn hc hn hc he ch en hn

| Sree aaaalicsscaldddddlsecc scnnaesecslsaccaldidalWaisadeesdaalaca ge

Fae De cn cn en Pa Dc ce en nr cc ATMRONPOMON MD

foo lienioenl | OD 1D CO D OD |6O 00 4 OD SO 00 rt SHO OD rt SH OD | HES DOD | © VD 00 © 09 19 00 E09 © 00 4 OD) Seana

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15 |15. 5) 16 |16.5) 17

Fee Mh ne hc hs rr hc re | CVD BO OLD Be OH [BS 3 rt SHO OD 4 SH SO OO [rH OD CO CO © [09 19 00 © 09 [1 Ie © 1D Bdccalcsss TH SHO 00 41 [09 © 00 4 6 [19 C0 © 0D 100

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SC RRA AIA edd oslo HHA [Hidid is idl SSSONINN NN DHAKA SBASASASSS/SHAA AAA Aial los od od o5 H

eee aoa Ya aa =" oars’ =" Ym | CVD Be Oo a HO OO © 09 LD Be 2 SH [SO 00 94 019.19 [IX ON HOO 4 019) 19 CO eee eprrr 1D BS OD rt [HO 00 O69 LO De DAN HIS CO 1 019

iY) fc) SC CSA ANNAN A AO Slob SMH HH idid id id pS SSSSIN ENE EW HHADBISBBAASSOOSSA A AAAANIN A 09 00 00 = Bn a hn a hr Pc ps AH ODD ON|HOD OMAN AAMODONHOAAMIDNIRANHTOIMOAD (DAN DION WO O/H OID D/A HOO = St as aoieilateiaiaded|eSebe8 tail hididis| SS SSS SSNNN Nba | SASS SSSSS[iiirinifolaiaials ee ee ee et Pe Bhs fh sh ne fh se hee on fh on ce FNM HDIOR OMOEA HIA]ORn OD OH AED HIDIOKR DWAR O]H ACOH 191 BD Ol 09 H 190 D&O DO] NO H 19 | Py 00 OS o SHH HD f19 19 19 19 19 B19 19:19

Page 142]

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Speed in knots.

27.5] 28

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25.5) 26 | 26.5] 27

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ioe oe. et

TLD) > 0) I~

ANADM/ANDANSIOMONS Ho did is[SSSRhRE [SHH Br Pc a en Pe en eB ae Pc anes hc ce Pe Pe

SOMO N19 (OOD ly 1D

ANANNAINANAAN

DOD Pe © SH 100 NO O09 [I= 190 OD |O OH ON INWO OOh OOO

Fe hace hee re hee Rees os oe he ee ee ee ee ee

ODOM Apo anoo

AANNNINANANN

tH oH Hidis

03.05 <1 tii

dcicisis |S Senn AMD OM/O 1D oD Hadddlisaddlgccss OOOO

Soe ihoen than than!

A ces hee ho he Acces fh he Eh an

Bn HNN

Bissell a Aad AMmANNINANNN

21 |21.5) 22 /22. 5) 23 |23.5) 24 |24.5) 25

TAN OD Hid [OOD © a

SHO ID DNO OM [Pe HON ID DODO ©

DOE OH FID ONLI AAO Ot) © HOO

ANOMDM/OOMIr~O

Se oe oe oe |

SAGAN INANNN

Soe

TY MmMODINODOY

Mm HONPOADOS

aoe SHY rt HOO [4 19 C0 ND

ANN

is) So | ico 4 —Q = a

3} °o q os ~~ 4 2) me} =| 3 uo] o o a MR o q = cal

Speed in knots.

33.5

CONDOS

OO 65 oH did

ROOMY MOON

Sess

WHO M/DIO Ar

adhd om ro

SAA ANNN

ONWDMHO mrN OD

ONDHS 65 H Hid

CONDO

AOoonn rade

SOON D219 |r OD 1D

ONWHO mminNno

ON 00 0) mMINN

ON MD mMIINN

CARD 66 i Hiss

1D ro 00 OO SH SH A 1D

IDOOND 09 xi Hid 15

eee

WOOND Or~r~oow

OD) D> 1) r4 <O OOr~Oow

1D ary N OO

eee

OD) 21D rab

On oO

One NDO mMINN

Ome NO aMNN

O19 Sr OO OD SHLD LO

Renee

OD 2 SH O19 Om Of) SH LD 1)

NOH O19 OOrroO

ra Py &) 00 SH

eens

DigIMon

DRHOOnr aod

MAN OD SH

I~) CO HO Se Phe Phe Phe

Dt O93

TAN OD OD

CANO So Bh hoe De

NANANINANANN 00 SH > 19 [4 6 N00 CD

NANANINANNN

Dig Or |IyN OOH

INMONTY

OD CO C1) G2 <H

onoor

mae

bon ian han hae ha

MONOD wH iid id 5 dane

oA Onh

NI oO OD

O65 H Hid <6 Sees Manes he

I~N~ NCO

068 H Hid 15 Fe hoes ae es ae

HoOwo rw 66 SH Hid id eae

a hf nh

ANNANAINANAN

CO SH OD? SH OD | <H Od SH Od sH

O29 0129 © [19 O29 ©2109

bs hc ce cs ce Oh he

29 |29.5) 30 |30.5] 31 |31.5] 32 |32.5) 33

re Ss Aes hs et be Me he ho

es bl

DOD GOOD CO\N IW NIN

Ee he Mc tees Mel hes he ee he OAwWOwl/oOwowto

boon en hoon he he

ers

SAM NINANNANINANNN

egos AMM On|OnMOnO

SIAN NANANINANAN

HDD SH OD 09 100 CF) C0 OD) COIN IW NIN

Page 144] TABLE 14.

‘Conversion Tables for Nautical and Statute Miles.

Nautical miles into statute miles. Statute miles into nautical miles. 1 nautical mile or knot=6,080.20 feet. , 1 statute mile =5,280 feet 1 statute mile =5,2S0 feet. 1 nautical mile or knot=6,080.20 feet. Nautical Statute Nautical Statute Statute Nautical Statute Nautical miles. miles, miles. miles. miles. miles. miles. Iniles.

1 1.15 51 58. 729 1 0. 87 51 44, 288 2 2.30 52 59. 881 2 1.74 52 45. 156 3 3.45 53 61. 032 3 2.61 53 46. 025 4 4.61 54 62. 184 4 3.47 54 46. 893 5 5. 76 55 63. 335 5 4.34 55 47.762 6 6. 91 56 64. 487 6 5.21 56 48. 630 7 8.06 57 65. 639 7 6.08 57 49. 498 8 9.21 58 66. 790 8 6.95 58 50. 367 9 10. 36 59 67. 942 9 7. 82 59 51. 235 10 11. 52 60 69. 093 10 8. 68 60 52. 104 11 12. 667 61 70. 245 il 9. 552 61 52. 972 12 13. 819 62 71.396 12 10.421 62 53. 840 13 14.970 63 72. 548 13 11. 289 63 54. 709 14 16. 122 64 73. 699 14 12. 158 64 55. 577 15 17. 273 65 74. 851 15 13. 026 65 56. 445 16 18. 425 66 76. 003 16 13. 894 66 57.314 17 19. 576 67 77. 154 17 14. 763 67 58. 182 18 20. 728 68 78. 306 18 15. 631 68 59. O51 19 21. 880 69 79. 457 19 16. 499 69 59. 919 20 23. 031 70 80. 609 20 17. 368 70 60. 787 21 24,183 71 81.760 21 18. 236 71 61. 656 22 25. 334 72 82. 912 22 19. 105 72 62. 524 23 26. 486 73 84. 063 23 19. 973 73 63. 393 24 27. 637 74 85. 215 24 20. 841 74 64. 261 25 28. 789 75 86. 366 25 21.710 75 65. 129 26 29. 940 76 87.518 26 22.578 76 65. 998 Cae 31. 092 77 88. 670 27 23. 447 77 66. 866 28 32. 243 78 89. 821 28 - 24.315 78 67. 735 29 33.395 79 90. 973 29 25. 183 79 68. 603 30 34. 547 80 92.124 30 26. 052 80 69. 471 31 35. 698 81 93.276 31 26. 920 81 70. 340 32 36. 850 82 94. 427 32 27.789 82 71. 208 33 38. 001 83 95. 579 33 28. 657 83 72. 077 34 39. 153 84 96. 730 34 29. 525 84 72. 945 35 40. 304 85 C7882 se so 30. 394 85 73. 813 36 41. 456 86 99. 034 36 31. 262 86 74. 682 37 42. 607 87 100. 185 37 32.131 87 75. 550 38 43.759 88 101. 337 38 32. 999 88 76. 419 39 44.911 89 102. 488 39 33. 867 89 77. 287 1 40 46. 062 90 103. 640 40 34. 736 90 78. 155 41 47. 214 91 104. 791 4l 35. 604 91 79. 024 42 48.365 92 105. 942 42 36.473 92 79. 892 43 49. 517 93 107. 094 43 37. 341 93 80. 760 44 50. 668 94 108. 246 44 38. 209 94 81. 629 45 51. 820 95 109. 397 45 39. 078 95 82. 497 46 52. 971 96 110. 549 46 39. 946 96 83. 366 47 54, 123 97 111. 701 47 40. 814 97 84, 234 48 55. 275 98 112. 852 48 41. 683 98 85. 102 49 56. 426 99 114. 004 49 42. 551 99 85. 971 50 57. 578 100 115. 155 50 43. 420 100 86. 839

TABLE 15. [Page 145

Conversion Tables for Metric and English Linear Measure. Metric to English.

Statute miles. Nautical miles.

English to metric.

Feet to meters. Yards to meters. Statute miles to meters. | Nautical miles to meters. |

0. 304 0. 609 0. 914 1, 219 1.524 1. 828 2.133 2. 438 2. 743

0.914 401 1.828 803 2.743 205 3.657 607 4.572 009 5.486 411 6.400 812 7.315 214 8.229 616

1, 609. 35 1, 853. 25 3, 218. 69 3, 706. 50 4, 828, 04 5, 559. 75 6, 437. 39 7,413. 00 8,046.74 | ~-9,206.25— 9, 656. 08 11, 119.50 11, 265. 43 12) 972. 75 12, 874. 78 14, 826. 00 14, 484, 13 16, 679. 25

WHOWN SO) POND OW CO eH G9 SINT 00

1 2 3 4 5 6 7 8 9

Inches platute Kilometers

ey ic} o a

Centimeters.

0. 03937 1. 60935 . 07874 3. 21869 . 11811 4, 82804 . 15748 6. 43739

. 19685 8. 04674 . 23622 9. 65608 . 27559 11. 26543 . 31496 12. 87478 - 85433 14. 48413

2. 54001 0. 02540 5. 08002 - 05080 7. 62003 . 07620 10. 16004 . 10160

12. 70005 . 12700 15. 24006 . 15240 17. 78007 . 17780 20. 32008 - 20320 22. 86009 . 22860

CO COONTO CUP bre OOONTOD OU HB COD

66806°—38——10

Page 146] TABLE 16. Conversion Tables for Thermometer Scales. [Fo=Fahrenheit temperature; C°=Centigrade temperature; RC=Réaumur temperature.]

Equivalent temperatures—Fahr., Cent., Réaw

RO=$ CO=$ (FO—32°). Ce =§ RO=§ (FO—32°).

+10.6 |-++ 16.7 ; 11.1 16.1 : 11.7 12.2 12.8 13.3 13.9 14.4 15.0 15.6 16.1 16.7 17.2 17.8 18.3 18.9 19.4 20.0 20.6 21.1 21.7 22.2 22.8 23.3 23.9 24.4 25.0 25.6 26.1 26.7 27.2 27.8 28.3 28.9 29.4 30.0 30.6 31.1 31.7 32. 2 32.8 33.3 33.9 34. 4 35. 0 35.6 36. 1 36. 7 9] 37.2 100 |+37.8 |+

Equivalent temperatures—Centigrade and Fahrenheit. FO= 2 C°+32°.

OCONMWHUMIPRWNe Hi Is 3002

Wr SON Oe

NPAWONPMDOO

{lee ete tho co B® OOD

Se be bobo RON SSE OOBNMWHUILWNWEH OS He BIB HR HB o9 09 G9 C9 09 PDIP DO SON Ot bo WERHWDONKE DOO

Equivalent temperatures—Réaumur and Fahrenheit. Fo=$? R°+32°.

Fe ft pe ek ek ff ft et et fet pk et et et SSS SSR RAIS SSATE ROSE NNEESSOD MM

WNNNDNe eH SSRSSeaeho wmConNnomrnwomdc ODONAHUIPRWNH OS oor He BB OO SSSGSESSRS NODmBUINPNoOoDmUInwe CN Ss iN Korlonieon) o PNSSRSASSE CoOnNmommrnwmnonmcn

0.6 0.0 9.4 8.9 8.3 7.8 7.2 6.7 6.1 5.6 5.0 4.4 3.9 3.3 2.8 2. 2 ad 1.1 — 0.6 0.0 0.6 1.1 1.7 2.2 2.8 3.3 3.9 4.4 5.0 5.6 6.1 6.7 7.2 7.8 8.3 8.9 9.4 0

bo bo bo bo bo be bs bo bo bo bo SSBSRSBNNSSRARERS St NWOWHORODHINAWORO

TABLE 17. [Page 147

Reduction of Local Civil Time to Standard Meridian Time, and the reverse.

[If local meridian is east of standard meridian, subtract from local civil time, or add tostandard meridian time. If local | meridian is west of standard meridian, add to local civil time, or subtract from standard meridian time.]

Reduction to be applied to local civil timo,

Reduction to be applied to local civil

time x

Difference of longitude be- tween local meridian and standard meridian.

Minutes.

‘

OHIMMAPR WHO 8 03 GD 05 03 03 DOS OD eal sa oa Cull sant aun SSsSssssss

to 9 52 3 to 10 07 10 08 to 10 22 10 23 to 10 37 10 38 to 10 52 10 53 to 11 07 11 08 to 11 22 11 23 to 11 37 11 38 to 11 52 11 53 to 12 07 12 08 to 12 22 12 23 to 12 37 12 38 to 12 52 12 53 to 13 07 13 08 to 13 22 13 23 to 13 37 13 38 to 13 52 13 53 to 14 07 14 08 to 14 22 - 14 23 to 14 37 14 38 to 14 52

° 7 2 73 75 8 0 8 2 8 3 85 9 0 9 2 93 95

One: oF 0 00 to 0 07 0 08 to 0 22 0 23 to 0 37 0 38 to 0 52 0 53 to 1 07 1 08 tol 22 1 23 to1 37 1 38 tol 52 1 53 to 2 07 2 08 to 2 22 2 23 to 2 37 2 38 to 2 52 2 53 to 3 07 3 08 to 3 22 3 23 to 3 37 3 38 to 3 52 3 53 to 4 07 4 08 to 4 22 4 23 to 4 37 4 38 to 4 52 4 53 tod 07 5 08 to 5 22 5 23 tod 37 5 38 to 5 52 5 53 to 6 07 6 08 to 6 22 6 23 to 6 37 6 38 to 6 52 6 53 to 7 07 7 08 to 7 22

Page 148] TABLE 18, 19, 20.

TABLE 18 TABLE 19. Dip of the Sea Dip of the Sea at different Distances from the Observer. Horizon.

Height of! Dip of the Dist. of Height of the Eye above the Sea in Feet.

Land in the Eye. | Horizon. sen, Miles.

”

0 59

BO BD et | tiboreone peers)

spa G9 He He on! > CO OO =I] co i a~aH08 S|

ye bo bo bo bef by bo Go Go) Co BR

| on R09 C9 oa} co 09 09 rasan He CoN

bo oo rs ns

Nore Tro Taste 19.—The numbers of this Table below the black lines are the same as are given in Table 18, the visible horizon corresponding to those heights not being so far distant as the land.

TABLE 20.

The Sun’s Parallax in Altitude.

Altitude. Parallax.

3 24 3 32 3 40 3 48 3 55 4 02 4 09 4 16 4 23 4 29 4 36 4 42 44 4 5 5 0 5 0 51 51 5 2 5 2 5 3 5 3 5 4 5 4 5 5. 55 6 0 60 61 6 3 65 U al 73 7 5: 81 8 2 8 4 90 91 93 94

8 4. 10 6 1 7 2, 7 3 8 3 8 3 8 2 7 2 6 6 6 D 4 2 9 6 2 8 3 8

CHEN NWRROMD~T0MCOO S

r~oOwmotaAno

DOMmOIN HONS

0 I G & v g 9 L 8 6

D Om O1N HOA O BD Or 01010 Heda AN MO DOrmr~oimtomnando

TABLE 21.

Parallax in Altitude of a Planet. AMON OOMDHMOANHO

DOM~Mr~OIMWMMNAO DOMr-OMIOHNOANTS DAOMm~OOMOHHMOATHO BPOMmOOMOHOMOAMHO

DOMmOOIMINHWMOATMHO DOMmOOIDHHMOMOAAMHO DPOMmMMr-OMMOAHOANHAS DOOM O11 MD HHOOCOAAMHO BD OMmMOMINHWHMOANIMOS

DD OM OMI HHOMANNHAOO ADO OOIMHHHMOANAAAOO

DDD AOIMr~Pr-OOIMIN HAHNAOANNTHHOS DOO ODM OOIMIONNWAHMNNAANANHAOO

CODON O OI OOWMMAHMMMNANNTAAHAOS DDO OM OOOMIODHWHHMMNANANATAHO®S DMO OME OOOIMOMIONWHAHMMNANAATAAHOS HX OOM MOD HHHMIMMNANAANHAAHAOCOO WOO OI NID HAHAAHHMOMMMONANAANANAAAHHOOO IDO HHA HH COCO COO ANNAN AAA OOCS HAH HCO COMO COONAN ANNAN AAA HOOCOO COM OOCOANNANANA MANA tH OOCOOCOOCO ANAANNAANNANM ANA AANA nNHOOCOOCOCOO mrMnnn nnn OCOOCCOCOCoOOCOCOoOOoCOoS

U8 | uLB UF | u8S | uBB | «LB | WOT | vGE | v8L | v2T | «OL | cS | vFE | v8E | vBE | ATL

“‘yousld Jo xeiered [e}Uu0ZTIOH

SD WO Wl OH | 19 19 SH OD OD LD LD 1 1 1 LD

Mean Re- | fraction.

Ppetent itude.

fraction.

Mean Re-

Altitude.

Mean Re- | Apparent

fraction.

= ° 3 we ® e=) o | E o a B a a o 4 a o E I

qd iS) s oO & ® ia g =

Altitude. -

Mean Re- | Apparent

fraction.

[Barometer, 30 inches.

Altitude.

Mean Re- {| Apparent

fraction.

Page 150]

Apparent Altitude

TABLE 23. [Page 151

Correction of the Sun’s Apparent Altitude for Refraction and Parallax. [Barometer, 30 inches. Fahrenheit’s Thermometer, 50°.]

Mean Re- Mean Re- Mean Re- Mean Re- { Mean Re- Tee fraction and apparent fraction and a anene fraction and Saar fraction and Te fraction and itude. Parallax ©. luce. | Parallax ©. * | Parallax ©. *| Parallax ©. 1 *| Parallax ©. §

‘ u

0 58

be eee

NOH WA DOWMMolaon Lee ot

BB OTOT OT OF

SCAOMDdw WW oO] TH w NWSE WOAND OOP AOS Ww or

He HB OT) OL OT ONO OL

5 5 4 4

R He OUNT CO © RUS HS

be bo bo bo DOD db] Wh hw cco Ww) WCW RE) PR

ft Bt et Ft Ft |! BS bo DD bb 89] CO GO G2 CO BH NWP DOD ORW! PON OOF!

DNNrADOW OOO

He} OUT

RO bo be] tO bY bY bb 09} Co WO DO CO CO BI BR

Rb OE OYN ODO OF O/B OLN CO OF! tO

Rte bo bo] bo to 0 BRE REE Hee

WOULD DO] DB ONT) OF C9 C1 WH) OH WOUND ON RADON KHDWAOL As

NOWHDOW DBOWNH BON AO

He OT OT OT

FA] tt bo bo bY] BD bb DO BD DY DOD OD DN Ot Bt Bt bt BN BD BBN tt BN bt bb bb. ©) © 9 G9 © G9 G0] CO

tt tp pt | ee ee ee ee ee ee ee

h cn) orc

bo] bo G9 G9 CO Co LShokRES oka Ovo er St Or Or

bo} bo Go Go CO OD} CO bo O100 Ht OY COO 02 O100

OY OVC Or f 2] ~I0OOW OF DD] CO OL IO] ©

| colececemlecwjwmwwlownowowK AAA DADRA A DRA RED RRA RAD PRR ALR OOo

9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5

H 00} COO Or bo ty] CO HR OIG) NICO} C10 FO} WNW WROAANADCO

Page 152] TABLE 24. Correction of the Mean Refraction for the Height of the Barometer.

Mean refraction.

gr 3 4/ : 5! 6’ 8/ 9

0” | 30” 0” | 30” 0” | 30” 0” | 80” | 0” | 807 | 0” | 89” | 0” | 80” | 6” | 80” | 0” | 80”

sats +

au” “wr u ” “u” ” “" a” au

17 | 20 48 17 |20 47 46 45 44

41/43

eee DA~IMSO

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 it 1 1 1 1 1 1 1 1 1 1 1 L I L 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0

SDCOCOCO PRHEHE HE RPREHE RI NN NNN NNN Nh WWW WW) WOW W PR PPP Ee aaa 3

SC OCOOM RH RMR HE | bo bo bo bd by] bo 09 09 09 09) 09 C9 CO EB RRR BY] OL OT OT OT ON COLO DD D aaass|

ojorrrtby BO BO C9 09 CO] HE OT OT OU OD OD OD MINT} NT. CH COO OC} OF FBS bY] 69 CO HE HE OY OL OT OD GD NI} ST.00 GD |

SO} tr bo bo 09! CO HE HB OL OT OD Od SI “T00] CO COO

OC] et bo bo 09} BB OT OT] ST ST 00 OC

| HF bo 69 09} H OT OT NT] ST. 00 CO

SO] bo bo 09 HB} OT OT OD NT 00] CO

CO} bo bo 09 HB] C1 Od 7. | CO

S| Ft bo Co Co HB] OT 2 MT. 00 60)

SClOME WN) coco AIR CLOT a] a ~1~100 | CO Ol bo cow or] Ot ~700

Slo

2 S g S 2 3 ° SN 2 S 2 S S 2 S Ss

Subtract.

i] ~

Barom.

Mean refraction.

TABLE 25. [Page 153 Correction of the Mean Refraction for the Height of the Thermometer.

Mean refraction. 6’ v 8’ 0” | 80” | 0” | so” 0” | 80” 0” | 307 | 0” | 30”

DALPNOWHLRWO

“u 4 4 4 4 3 3 3 3 3

8) 3 2 2 2 2 2 2

2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 il 1 1 1 1 1

PH BSRHCOROES|SESESGROH AIAAA ANNI OMWMDOO! OOOO

ee O|OR Keb Meoeoeos rsexcaed DMAAINAUNDWDWOOOOORHE Hee Hee eee ee

OLPOCOH HHH HE CloOoHnHH HHH Dt SClLOOH HH] HED pwrry

ClOH HHH! bo tye 09 BSeEowléscasSeleeomeeeacorme Oo] HH bo bo 09] Co HB ot. oa| > ~T ~7 00 00] <cO

Ol HH bo bo oo] BR ote a> ~a] C9 C0

Ol no co] BR om ~100| 00

Cl tw a] ~10 6

Pelee nooo

| (} sencalaae

e 3 | CO] bo to BB] Ola “ICO CO

80” 10” 6” | 30” | 0” | 30”

— S

or 3/ 4 5/

Mean refraction.

Page 154] TABLE 25. Correction of the Mean Refraction for the Height of the Thermometer. Mean refraction. V a |.» 6’ 0” | 30” | 0” | 30” 0” | 30” | 0” | 30” | 0” | 30” | 07) 30”

Boclmaacne whore > oo = HS clara sc|mewnos

=e S Bowa|soone woOnnwro> eee] Ey OF Dre Boo ndleacass

— = o © 0 wo a1-a] o> enon oo WhHrHE OS * orlia<d = = Soomslaocme wroHeHos

Retro Ne Mo} SIC eusracoe NDNyHHo Ft = 5 Wee) BOE acasNes pDbheHot

Wo) iol weal een CHINN coat NHHoOo Ss

womans @ exer ie ie|m 00 29 to te DeRHoOo

[RO SO no Oo Oo) =pPoe|siee|emmellooocleceos = D CULOLOTOY OUST OTH +B] BB IB OO oo 19 6969 6 toto 89 Ro Bobo RA RE BHHOOO* OOOO ecrrdoexee enon ener in| mi 2909 ee e910 09 Bo ms HREROOS

Hh He sb 9 Go| C9 69 9 €9 Col G9 CO LO LO LO wrwvunorHHHlEnH|ooooos egeeelaeaae CLOTOUOT ih i colon eo en eo nolronoro HH HHOOO S

G9] Co Go Co bo bo bo bo to to bo] ko RO LO BO bo

COO 6) 0 CO O00

co g

80” | o”| 807 | o”|

re a

~_ ~

Mean refraction.

TABLE 26. [Page 155

For reducing the Time of the Moon’s passage over the Meridian of Greenwich to the Time of its pass- age over any other Meridian. The numbers taken from this Table are to be added to the Time at Greenwich in West Longitude, subtracted in East Longitude.

Daily variation of the moon’s passing the meridian.

ongi= fie: o eS

tude. | 40m | 42m | 44m | 46m | asm | 50m | 52m | 54m | 56m | 58m | GOm | 62m | 64m | G6n

©) m. m. m. m. m. ™. m. m. mM. ™. ™. ™m. m. m. 0 0 0 0 0;- 0 0 0 0 0 0 0 0 0 0 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 1 1 1 1 1 1 1 1 2 2 2 2 2 2 15 2 2 2 2 2 2 2 2 2 2 2 3 3 3 20 2 2 2 3 3 3 3 3 3 3 3 3 4 4 25 3 3 3 3 3 3 4 4 4 4 4 4 4 5 30 3 3 4 4 4 4 4 4 5 5 5 5 5 5 35 4 4 4 4 5 5 5 5 5 6 6 6 6 6 40 4 5 5 5 5 6 6 6 6 6 7 7 7 7 45 5 5 5 6 6 6 6 7 7 7 7 8 8 8 507 6 6 6 6 7 Z 7 7 8 8 8 9 9 9 55 6 6 7 7 7 8 8 8 9 9 9 9 10 10 60 7 7 7 8 8 8 9 9 9 10 10 10 11 11 65 7 8 8 8 9 9 9 10 10 10 11 11 12 12 70 8 8 9 9 9 10 10 10 11 11 12 12 12 13 75 8 9 9] 10} 10 10 11 11 12 12 12 13 13 14 80 9 9} 10) 10) 11 11 12 12 12 13 13 14 14 15 85 9/ 10} 10} 11] 11 12 12 13 13 14 14 15 15 16 90} 10) 10; 11] 11] 12 12 13 13 14 14 15 15 16 16 95f 11] 11) 12) 12) 18 13 14 14 15 15 16 16 17 17 100} 11) 12] 12] 18) 18 14 14 15 16 16 17 17 18 18 1057 12) 12) 13] 138] 14 15 15 16 16 17 17 18 19 19 110} 12) 13) 13) 14] 15 15 16 16 17 18 18 19 20 20 1154 18) 18] 14] 15] 15 16 17 17 18 19 19 20 20 21 1207 13] 14] 15] 15] 16 17 17 18 19 19 20 21 21 22 125] 14] 15| 15] 16] 17 17 18 19 19 20 21 22 22 23 130} 14) 15] 16) 17] 17 18 19 19 20 21 22 22 23 24 185] 15] 16) 16) 17] 18 19 19 20 21 22 22 23 24 25 140} 16] 16} 17] 18] 19 19 20 21 22 23 23 24 25 26 145] 16/ 17) 18} 19} 19 20 21 22 23 23 24 25 26 27

P29 O19 SO 1 © 19 O19 O19 O19 © Ino newlomoene

1) 19) 19 1) 1D hae ee pee es

HSH SH SH 1D J 19 10 19 1 1D SO OOO

DAN HOM DO AHAIN HOO ON Hn ro SH OSH SH SH 1D [19 19 10 19 © [00 SO OOO J I PH IO ODO OD

WIDO IM DISOHAMDH/OMRDONHOM- DOIN MHWODIONIONMNO OOOO CO [E+ hy Pe I~ CO

SOnN GM | 19 Or 0 CD 6D CD 6D CD 101) OD OD CD OD Le ee a be ole ole ole.)

wi oO og g 3s 77 4

bt i) 1 4 E ia

Declination.

HOA HiOr~oOON 1D OO |CO OO E

DORDONnAING tsb

AAA I 6D [00 6D SH SH 10D OM rDAIBOHnAN Drs Oe BO DO AAA AA IAN 69 60 09 09

ocooocoo\jooooo Looe fe Oe re Bo Be Bh

ocooocojooooo

33383 /83332

1D O19 O19 1019 O19 © Z MO ODDO Orr NIN OD 69 SH Hid 10 OL We) ~~ ~ ~~

Page 156]

nN nN iS = , < al

i o ue) ‘B a E

Declination.

8°.5

12°.0

Sr OD) © 119 © 19 © 29 1019 O19 O iO O19 O19 |O19 O10 ©

>? Be 60 2D SH SH 19 ED OD OD

RY COSTES) PC IEr) CVD 16D B= 00 ri [09 CO Op OD B=

~ LD LO We)

11°.0 | 11°.5

10°.0 | 10°.5

9°.5

CO DCO | Or oD

MADDARIOOMAN

Deal N

~rOoMmMooe SIGS) SDE RO SS BS BS 05 05 05 en en esti!

SH 00 6) G2 60 Bots seo HOO Thy N

HACOM-r-OAN

mA cD

1D © 6 OF GI] <H 60 10 ce H

POHNS|DAADOG Naeacd eas nD O r4 OO

Rags! ONGe aa ~

MHrOMWONEr NON ONOHNOOnMr OVO AI OD 6D [00 SH SH 1D 1D |KO CO I~ I DID DADOO I co co re N

nD CO rat SHE [41 O19 © [- OH ON/OM Ont

bal bo rc Loma

Horo

mAN OO SH iN

AAOOMIMO DAS Om HOO

fir) RN SHEED

oO) © bed oD

Snnmnw N

1D OD OV [09 10 Be 0 |r > > 1 fs]

ANOOO~-Ar~AY HD 19 19 © [CO I~ Pe CO CO a baal

SH OO 6) CO OD AA OD OO SH Lon!

OND Or

bes ee ee | rc

9°.0

8°.0

HODMHIY FHM OWM He AHIONrAY SOO rr [HAN OD OD [SH SH SH 19 19 19 OO I fr Leal b= re

OD O26 OD 4

ABOAN na oN

Eg COB OI BS DO OID es ~ N aS Bye

NAOH lee) ECCS

NAO rk 10 SH

Ih OO NH

HHHOODINE Oe ic) SH

D S OD 1 CO |r a Od 69 GH 109 CO OI NV 1D 0 CON AOD O Ol AAA [69 09 09 SH SH | sH 19 19 OO iu ir Leal tal

Or 6919 DH [CD19 DN

SIStoraacn EXENICO CO cr SEES DODS

1D OO © 6D |= OO O10

DIN ON | O A119 O |r 10 D OD DODD OD

AOOOSMAIAANANAAN [69 69 OD SH SH Lal Leal Lae

ANoOHoOr ~~ ODD mr

RECOIL C2)

6D OO Cf) CO SH |S SO CD & OO |6O SH 6) CF) SH D> COMICON

To NAN OD [SH SH 1 SO KCl oa caine Ey

ARmoOo AoR cla iN

mono LO 1) CO CO co

SOD E410 [Od HOD HD | SH OO ODO

lo.ofle ole eer wor) [I

SCANT HMO DAHA IDAHO ODO

IDO DAN DONND OMAHA | HODOH HOOD

OnNsHtoO Scene Rades

SnnnN RYAN C9 cro bal Lal

MmOoOnoN

m1 OH © 6D 6 CD SH LG Le!

D> HOO OVD SHAS [rN HOO

SANNS NX N

DO rj HOON | © SH OH WADA OS el NX

LD CO OID 00 NO © HD [09 C0 09 DID | WIN MHIOADON Kein) Co CICS)

ID AO © H1O A I~ NO [69 2 OOD © |O I OO

px A ic -_ faa) <i a

Page 158]

g Gs

iB a5

ay | <

Declination.

gegsdgasce

DRDOMIAN W196 N oF or)

ononeo 1D 19 SO CO

D190 A © BH | 19 19 CO

1D C1 O19

~OoOQ Lis fr)

SwMOwMmoNnso1w 19 Soonr ist 2 CMHpoyeGe sii

142.5 | 15°.0 | 160.5 | 16°.0 | 160.5 | 17°.0 | 17°.5 | 18°.0

IQ oD SH CO oe)

Bonne CO <H

13°.0 | 18°.5 | 14°.0

12°.9 | 12°.5

Lati-

[Page 159

Amplitudes. Declination.

TABLE 27.

Lati- tude.

S19 O10 S 1D O19 O19 |S 10 © 1 © 1D O19 © 19 | 19 O10 ©

v 0 OO19 O19 ON HO OSI OD HD OD DO D1 HONG HD OP DM DIS OH AANA 09 OO SH SH ND 19 © OE | 00 0 OD Sl S SHORE ONRHNAN ARON DH HOO WMA NID DOIN MHA |HR O19 OP OM ADIWARAS

° OMe ike aie pay ie] | al Pre Pano] | BU ep NVe lw We abro\ | Po Nite parol Weyietn]| la europa ple pele|| lapel le honoplnl | Wo lsol We Meee! | reper bevels epee Dete:

x OID DBOAINAN oD 1919 SO i DPDOANMILOOWDON IN hy OS |r 19 OO So

a a N oD of es 1S SG N ~ Yo) 3 © |sO RES

eee ee nl | alee Mee! |e Mie lite jlo Mle| |e piel ite te iat| Moye ate) ite inel| Sei lNelate Miermte} | Mode Mine Wie el | Mie enuiep were] | elma peeusielme

CAN DH SISSKRAGDISSHAN|A ed HdiS[SrABDS Hod Yi OO

BDANMHW|OMAON yoo oO

1D 69 OO IN D190 A 4 [O19 © OO /00 SH rs OE LO SH HO 6 gasddagacs Cl A OID CO NE OD

I 6) OO 6 |S CO OO

PSST AAS id 16

hy OOo fs]

BS SHA ed od did SS OB 09 SHS

POG ri [wid Sr 1G Sricd w/S ra red | SAAS

INDO ADM |OHOMmAINM~ AO oo SH \" Hip Ne) ‘Oo mt

6 CO © HOO 1D SH OD 69 C9 | SHO Pe O10 1S OH HE goang|

O60 De HI /69 CO HOP 1’ Od SH OD SH

Dri AHHH AM OOlOr AND |INODW D/O DH MO /O OO rir gesacg

BRL SAIN 9 08 Hid iG SSM |G GHGS | A aed Whe Gro GIN 65 wha [5 v5 SS Iai 05.15 00 | 0518 IS S TAD O HOD [SH ODIO HE [HH Dr O IO OM AAO HAO AMA MON |H OAM dH [09 69 O09 HIN AOS

alse ~ {Ye} lias Je) ~ fer) ddddg GncidelNaedagcnaalggicagecscaggoda gwwscag iva gcgadgies CP BOBAS AAG CS oS Hid iS Grr GS ISAAA ES HSCS SSSA SHSM [SSAA lor Saws ims

RAC re DIVO OHIO HOD HI HH OE [OO OLD DIN OO HAS DOO HDION HO 691 O19 0 D|!O OI DO BBC3ISE3IS ASAE BASS NS SSBB SS AMR 3 e838 Ball Rrectes eae ERI SETS roe SIS

} 18°.0 | 18°.5 | 19°.0 | 19°.5 | 20°.0 | 20°.5 | 219.0 | 219.6 | 22°.0 | 22°.5 | 28°.0 | 28°.5

| SHAS rN od 05 wi qesda2aas Srahegseesesaeagassae toss baacskcg

(or) ~t

BIS AND HD Drm OBIS S ri ri cies 05 od Hi iid 15 OS -HHBASSrin SH IID 19 19 18 18 [19 19 19 191 |S © Re}

seseegseddgecccposaapodce

Re} ~~

O29 O19 © 19 O19 © 19/9 19 O19 0 190 O 1H O19

rODRWOSHANM HO Or OD Bou be bu

KA DWOMMIMOF MOM MAHA HO

oonnen 3 S +

2D Od 09 CD JE) CO HO [00 © P= 10 H [09 09 0 SH CO ~ OO | CO Hud SO i

HOO SO 09 DLO NI OD 6 19 SH SH 10

289.5 | 29°.0 | 299.5 30°.0 |

Did AD [60 19 19 Or D Or 69 10 |O> SH Od bb We)

28°.0

bars ~

AMOARDIOSMON

BAGBSSOWANAOS N or) io Ro ~ or)

27°.0 | 27°.5

Declination.

n oO mc} = pe) 3 a

HORDODIRHHOH ASCOCNAMWHHWSO BOBS ASSHN[H sora Misr adh as eas) oO SH xt Rey RIX &

N Fa : =

26°.5

AOrrOr- ANS

QU 64 66 si] id ~ WMrAABAHSOABIHASAS SH SBMecese, 3 gut i= a

26°.0

(Sr) OOIPHANHOIDONIWMS Poe) eye} By Sekt aD

rE MNNINOMOSO

~-AaON Voie) ac

24°.0 | 249.5 | 25°.0 | 25°.5

Page 160]

SOnmmNINH oD oe 5 tw

d ° a rs a y s Qy i=") < ) be q ~ @ a 3 A sg A’ 21-4 Hg FS i oO g ao) qd AS Rs) o E 5

Declination.

OD SH 1d CO CO

CO E00 CO

OD SHAD

D190 O

66806°—38——il

rar) an a = a a

Page 162]

Variation of Altitude in one minute from meridian passage.

upper transit; reduction additive.

Declination of the same name as the latitude;

FS OnN10 aed

DOD DID A | OHA

m~mHNO CO SHH SH SH OO

D P19 69 |S DD OC B10 | SH 09 I 4 41S OD CE BP | 19 1 HOD OD MOI OD OO MD CO ION NANNINANANINN AAA [sss

LO OD) ro Op

DM Old HOA AN HO OID OP OO NO SH HOD ONG ANANANNNAANAN NR SAA Annie

CO1D HOON [HOO MD W/W = 10 1D HOO OO AN ANNNANINAN NR A AAA AA AAA Ae

r~OHON CD OD Cf OD OD

AMHAON

IN Mis lsanod

esd

HON DoD Diy OoO

OwmMNAG OD 6) 6D CD CD

CoOMMroin DANNN

OOD DDI OH O19 1 | HHO MAN ANNA ANA ANNAN eS

HeNd

DNONoS

9 CHA CD Hd cor co

nOoOOOt~ bn Boe

m~ OO O10

ld HATO

DOr 10

CO a sO ee Oe Oe Oe DO ee OO |

be or) 02 0D 60 OO NI

Dr O10 H ANNAN

ODO WP|OH O18 10 HH MOAN eS Fe Oe OD OO DO Oe

Declination of the same name as the latitude; upper transit; reduction additive.

ROMDH|OOMOD/OMHOD!ONHNRIOMArR OID Wdddied[sasasaialnianangd|diddiddd

[Page 163

FIDOM AIR HAHRMOIHWNOANICHMAH|OMONOM Hdd adlaiaaianalainaadgitqddddd

MARMWOINHNHOl|Monrowon Se |GAGNAA NAA AA Saad

DH OO mr O19 109 MMAANANIANANA A AAAS

reduction additive.

’

ra > 00 61 [SH OD tO SD OD CO D019 SH MANNNINANN A [Anas

oro o1d tH

upper transit; 19.5 | 24.2

CO HA ri [o> 00 6010 HH MOM OO MINANNANN

16.3

for) N & = fea) = a

) on s D 2 s joo) qd dai ae} ‘a i) A q ie) & o ~ 5 {8 q Oo g ° A o uc} =| ‘5 BE < aa ° qd fc) S s Ee S

14.1

imlialtialialial

14.3 | 16.5 | 19.7 | 24.5

1 | 12

25.1 4 | 16.7 | 20.0 | 24.8

4 | 25.4 9 | 20.2

D> DAH | Ht 19 41.00 O19 19 Wo BOO OO 6S 05.15 15 1d HH oH Hd od

5 | 12.8 | 14.6 | 16 3 | 11.3 | 12.7 | 14

Crisis si xs [sti ed od od los od od A

Saussieses

26. 0 14.9 | 17.3 | 20.7 | 25.7

Declination of the same name as the latitude; upper transit; reduction additive.

Declination of the same name as the latitude;

RMNOnNH|INODOH|INHMORloOWomnNH MIriGiddi di |sinied ed sles asainiaqianiad

10.1 | 11.2 | 12 9.2 | 10.0 | 11

0 | 148] 17.1

M19 |S OMe | HODM OAH A SH 15.15 HH

17.5 | 20.9

SCAHOHDIOCMOOHDHHAHD SHOMISOAIN OOH HAD MIN AMO IATA ION [69 60 609 019 09 |00 08 0 00 00 : ahi 06 Moda

aoe aod DDR |HAED Hid ODO 1 [C91 Dr [HI Han ONO AHH HOI 60 HOCMOANMINHMHOINMDOMO|NO=HCOOHO

BITTON 6 |e 69 60 009 09 Jord 05 0d mH mH [att HHH HAD OO 119 CO CO Ex I OS rt td 1G} oF ¢ SA | Oidid led edad cd |M aici nioial

DADO 6) Hid 1D DO OAH 1D DO OID | OO rt l= [HO 69 I= 10 | TO D6 OD =H |S b= “HH OD noe

Gs gH et oop e2 oF. 03 08 cS cd Hist lt tiidididhd com Melia S65 SH B16 16 HH lH cd cd 0

OS AOI CA 129 19 CO I= D102 HOD HO IO rH 6 OS C0 6) OD SO | =H 10 > oD Ot DIDr1|NIN NOD

Ned cd cd od led cd od cd cd led iH iH [aididid cS |\COSMr HASH IS OH 60105 =H HH led 69 03 00 ON Ie aoa dla

Or OI 6D HD CO P= OO ON 69 1D b= 2 OH i rt HI HO I Pe Ol AA SO rH 0 6D Od |CO =H rH Oo r=

- OO lor DAS ai io 5 =H ot a COR AI |Ai¢ 60 Of 68 6 68 |00 6 61 ob Hh tt << x =H Jad 1 ad DORIS HOS) Ha 116 =H aH od Jed 0d 0d OM

reduction additive.

TANS HID [I~ ODN eed oe we lees cat a | Cer aero eee | enna 5 ADHOMmiAIOMO

sH fi Hid 18 Nd 18 «OO IX I AS Oy is ‘ BBO SIO IX OG id Hi =H Hi od od cd od A GI Jai OTe

upper transit;

68 68 68 66 66 [0d HH Hi Hadid ishd comm |OaSAalAM DAD DIS D2 |CO b= 60 109 19 =H HH OO 09 [60 OO OI ON OT

CO HD SO B= 100 © rt 69 HO OO rH 09 CO 1D 6D b= rk 1D Ord OO HD SH GI CO SO Od =H O21 OY OD SO [69 rH Oo I 10 Son Loe Pr or eet a

the latitude;

ches cd esos | A tit [tididid S|\OSoMéM WACO Hl Slécd oso lid disc HSH HOD 6D [69 CO OI ON ONION OI OD rat ri rt Sn he oe oe Lee | artist

Htticidhd ising S d|\oOnreadaagaloddinala oo SBA DIX 0 Oidid HH Hades ce COMIC Ai rir aad |N arc

SH HH HID 1 1919 CO SO b= I~ OOO lr on in OO Pee N aed ee Kehoe Se 60 10 10 =H =H IH CO 6D 6 CO CO OI ON OI ONION ON OM rat rd ri a Toa en Bn on oD | And |e

Variation of Altitude in one minute from meridian passage.

HHS 1515 iS OO ms J HS 6915 05 66 divs SAG Hod 66 06 od

I= BACH OID AO HO rH OOO OD 19 OO rH IDS SO O/C rt rl OID 1S 19 SO 69 10 19 00 HH |= CO HON I HO OI Veet es en | Ann

é - 3 3 3 i i ue & a 5 s us} B p is o ce] a E A eo 3 o ke} o 8

Declination of the same name as

HIG 15.165 6 15 6 I o 360 HOS 05 IS OO id 1065 =H Hh aH Jd 0d 0d 05 05

ADAH OM HONDONDHI > HCD rd | Od HH i 4 O DOHNS mareoire Arete

AH OHNO OHIO GOP aC tah) tH HAD CO OI I~ 149 Od 1 O1 OD |= 10 69 rH OD

a Im HOI SO OD | P= 60 60 19 10 =H HH HOO 160 00 60 6 ON IO Alans

CO r~'O Or aie 1D CO = 19 50 i= [o7) ri ouce ID Ol DADS RENLRSAIBHAISS 8 RAAF i id hS eine o

oO i: gy : oO g g uk a 3 ims Ss) 4 a: Fg ® Lo} £ aq 3 gq 8 >

reduction additive.

upper transit;

Declination of the same name as the latitude;

9 CHAN Wo or om

OD 6D CD CY) OD

OD SH ud CO CO

OD SH10 CO OD CD CD CD Or

DAONWO OO SH SH SH SH

Hid 10

> DWOADOS ANNAN

onnne OD OD OY) OD OD

WoOr~noo OD 6 Cr) CD SH

mA oO tH oD 69 OD OD CD

ODODAHAN CD OD Cf) SH SH

13.0 | 16.0 44 | 10.7 | 12.6 | 15.5

Declination of the same name as the latitude; upper transit; reduction additive.

SCAND HO OMm OD

SHH 1919 |. COON To A A fo ee

TABLE 29.

o ee ols bo 1s ] 8 Bs as -™ | © am FH & 2 aE § Els ale A i) 213 Ss os 5 |2 A |e 2/2 Ble 3 18a Blo SUE ss | a fo} alsa On lie Sis a |: Fey | SE Ps o A

Page 166]

DORADO dannin

AAOnN

in didi jadanaa

reduction additive.

Declination of the same name as the latitude; upper transit;

[Page 167

er) A i a Q < ia)

fo) e a2 a a g a ae) co oO A g £ g =} A 42! A oO q ° & oO o = = < — ° a ° g — a

Declination of a different name from the latitude; upper transit; reduction additive.

o SAN WhoOr OM

OD 100 SO SH

LD 1 SH OSH SH

oo OO LD 1D 1 SH H

[> Tore oe} SH SH OD OF OD

HAI rj o> HSH SH OD OD

nO SH OD OI 4 |O 02 OE CD 6 CF) CF) 09 CIO ONAN

Ow HOA HODOr OD 69 6) C1 OD CD OO ONION

ANAM OoO|SDDOr~r ANNAA AeA

ANMNAO!DAOOr- ANNNANAN | Aen

Sseeee

hr rs

DAONOO LD 1 1 UD <H

ADOMNS 60 16 19 19 19

OMAN St SH SH SH OO

MOMNOS HHH

DM O19 HIN HOMO CD 69 OD CFD GD |6VD 6 CD ON ON

SDE OIN|\C NHOD SH GMD O19 GYD Cr [019 C19 OD CO ON

NOOMrMOIHHAHO

CONS OP ho Henares SH SH SH 0 619 [00 Gro C19 Cr Crd

P10 0) 4 o> SH SH SH SH OD

mom Ha CD 6D Of YD 6D

D109 OD rt St st tt

O 0 O19 oF 0 6 CD OD 6D

Om aHA LO SH SH SH StH

mor OH HOD 09 6 6D

HAOOHINODM10

Lu LED SH SH SH | <H SH Cr CD Cr)

MANOS DOr NANNN ANS SSeS

Fe Ih ee |

be es

CO OONANNINANASA

AAOMDO | O10 Hod COCO COA AIN AANA

OOO COA AINANAN

team oaloncoin w ede laindiaiaa

I~ Be 0 6010 bs hs Eh oe oo

Declination of a different name from the latitude; upper transit; reduction additive.

a N ica =) —Q = a

Page 168]

Variation of Altitude in one minute from meridian passage.

Declination of a different name from the latitude; upper transit; reduction additive.

NANNN

Ld SH XH CD OD |

ANNNN

ANNANNN

> |O> OO rm O10

aN AAA

Ld SH SH OD OY

ANNAN

Ann oo

Donro

ANNNAN

61010 SH en

C O19 4 00

1d 6 OOO

MONANN

AnCAmo

Jed Jed od od IN

ANANNANA

NANNAN

ANAS

maa oS

arrow

THON A

BAHOaD ANN

Declination of a different name from the latitude; upper transit; reduction additive.

[Page 169

ror) N & 4 —Q =< Sa)

3 G0 i fom f=} ao) rs ors {> A q [o) & 2g = 4 oO q {2} A oO ro 2 b= =a = ° qd ‘8 E S

reduction additive.

upper transit;

ANANNN

69 19 109 SH SH

CAMO AN dadidid

ANANAN

ld ~H on cn

ANANNNA

Declination of a different name from the latitude;

MOAN Ss

1D SO E~ COD

Declination of the seme name as the latitude; lower transit; reduction subtractive.

TABLE 29. Variation of Altitude in one minute from meridian passage.

Page 170]

S = ~ = i) A=)

i=]

So 2

= us}

e 5

t=]

= KS)

3 B b=

Ss & oO a we) | So a oO 8 ct a ~ =]

o 3 & = —}

a =

° g 2 3 E a [= o A

ConNnantt sabes

LD 1 10) 10 1

“HSH SH SH SH

NANNANAINANA SS

Pol ialim ttl Gal fall palit!

MAMAN HA oOCoO

OO CO 1D 19 19 19 SH SH EO Be Or Pe Oe

YOO OO f19 19 19 1 SH Ss st

IIDHHMINOANG eS NANNNANINANNANNA

SCnmNMtHpoor~og

ANN Ee Be Be Bn |

hii

MOaANN Fedired | rood ed ed

MOCO N

OD OD CY) CY oD So Be os ee

NH on oD oD 6D breath fr SL

ret til

St tH oO

a4 dd

ase Sete

SO es

ANNAN bo Os ee Be

ANNA Uo Oo on

ANNAN Pol Gl (i) fo)

MANNA Paltslialtislist

be eB es oe |

oN 6 CD ON

qd da

Declination of the same name as the latitude; lower transit; reduction subtractive.

TABLE 29.

Variation of Altitude in one minute from meridian passage.

. ° >

s 8 a

3S ° =)

ke} r3) q

= B a 3 wu

Be ke 2 x a =] o

us} 3

& C)

5 8 s

& oo) 8 3 A

» |

2 5 =

C] pe r) =| 2 S a

i) o A

LAD LD 1 1 uD | SH SH SH SH SH Free Nema ml Fr ea Hi]

6 619 19 19 [19 19 SH SH SH Sr Smt re fm | Fe a

SFOS:

ANNNNN Polimlimatiolil

MOOAAN itl Rll

rk Kar Kock dad

ANA Ae Iria!

ANNNAN SS Plt alial fal ct

ANNNNN Se Be

SSSi\SSSSsSo

0000 00000 |HO Ohh bt ooooo

00 00 00 00 00 [CO COCO ooooo

BD OH COCO 00 }00 00 CO COL

D> G O CO CO |00 CH CO C0 CO cooco|jocococoo

Declination of the same name as the latitude; lower transit; reduction subtractive.

2 TANI CO WOr~ADAHOCOOOCSOOC|IOCOCOCoO

Sr |N AN OD 09 OD [SH De 4 SH OO INI 1D OD 0) <O ooco

cooooc|jocoocoo mI OD Hd

Sr Pe BD |

SHY A HIONID oD

ocoooco|ceoo

OM 6 ANNANANINAN

OD A109 | +H 00 Gs

OD Hr |(ON10 IID SSS|SNN

I~ DAH ODO OD Had 15.15 ad 5 5

C5 wt Hh HH | fi ad a5

AONIDO DOAN O35 si

Fa Mac) 08 5 05

S oD ea S < I=

STs) NAAN

I~ OD dnd

Are or Time from Meridian Passage

ANN OD dod

Iy iy 0 0/0000 SSoSocoo|Soso

q 3 Ks i = oO q ~ bw ce o GZ n o us) rt ~ Z jo} ~ to} Oo a Q Q < o Q ° Pp q de} ~ iS) 2 ue) o faa}

SHH SH SHH 219219 —K—oi—)

AAA ooo

0.0) 0.0) 0.0) 00; 00) 0.0) 00) 090

UCN OOS

Page 172]

aH N

a4 SSS

ooo

SHAS SHAGHIS|On SH

NANNANANIANANNA

S oo i | ~Q < a

qd 3 U I LI 2 o q ~ i= s o a n o ue} 3 ~_ = a ° ~ ue] a} | Q a < o Q ° ~ g = ~~ o =) ie] o fem

Arc or Time from Meridian Passage.

Sic, eee

TAN OD SH [LD CO E+ 00 SSS mN OD HH soos mA OD ooo MAN OD) Sooo mMNO Sooco mHNN soocoo

mMNN Sooco

mmN oO OD Ta NOY) HD

SCOAOAaD MAN OD SH

& CO br O19 OnmN oH

0 6019 0) ri COnN wt

MANN CO OD SHH Ssoc|lssccco

SSocoojssscsco

ooooojocoocoo

Hig 1g Ory OMmODO ri

NANNAAN

OO 00 00 00 1) CO Ee 00 >

WHAT O 1D COE COD

SU Eree

Se Oho he ee De |

rHOrRWOMHORdGS

DB BD oe Oe |

ONDMAMOSONWMHOON

1d 19 6 6

COoOmtmodoD

ooocoo

TaN OO SH 1d So Eh eh

I~ OOD

teal eorian)

ooooco|jooooooo

SSANINANNNANANNANN

TABLE 30.

Reduction to be applied to Altitudes near the Meridian.

Page 174]

gage s AA HDOMDH|SSOOS|SOOSS/SSSSS/SS wis SAN H/9OMDAIOOSOS|OCO PEER TT Nt ag od Hass |e BS 05 05 SH 08 08 Has fo BSE ae 2 a Foi cd was | od nS Se Mee Phoees Phare heel have Be] = = S So OAM DOD A AIOOTNO i [tees ie | ce: Aa erie [at ee cee al Dian aren Sere So x 2s LOE [REAR Er abe LO ee J SSAA ANNAN HSAMHSIGASS 1 SHANING did isSoraa S. ext Ao ANA Sy 29 | aoa ie -) TL MOAMOAAM DO AAHNO|IN OAS = os ~ SCAR ADHAMOCIONDHS x] SSCA AN AH SOG /6 Gx Go) SHANA od od Hiss Hao on oc} AMI ANNN a ge mMHNN S oS ~MODAIOHHE|ARHAODHOKRRER S oS TDA OAIR ADM AHONSS N SSSHIFHANAIN SHH Hom Or) SHANNA SOS on aCe) AMI NNNN a ge AHNN s oS TMOAAIHROMM|DOMMAION INGA = oS ~WOGMOHONKRINGTR OO oe SSSA ANAA|AN 6 OHO AI5 06 nN SHANNA HHS SSS es Siac} Me NNN a eS moINN & > a) ~MIDOMIMNOOHHKEMOKW OR HHO A sy oR ~NOMSMOWOWM/OOnAH 3 a SSSHAHAANNIN SASH SCHHH SIS &0 AQ SHANING SH HpSosb S15 4 24 aN SHIA ANANIN g 2, ast AaHAAN n Ay S o ~ MIND Ol NONOM/INHAOAKIN~ DONO S S So TD OW AlHAPHRM/O OWS Ye} a | AY 16 2 a oS Soon |snnan AS Sn IS SS A115 05 = SHANNA SdH OHS 5 or aN mMNANIN a oF es mon E Ss 22 TNR OINGTRAANHONDO|HOND O/H ig > a) TD OAAM ONE AINA O19 4100 SS S SSSA AHN ANH S 6 bs = SSAA A 05 05 HI 5 05 00.05 | ; er gN SAM NNINNA s on eS mAMNIN 8 = a) TAM DAB HHOWG|MINAAH|OOMIDN/ONI q = os ~DAMOIARHOOINAMWONX de} Y-3 SScoolsnninn ASG Mis dSahsnrs iS} S SSH Nod od Modes y Ics 5 re ex AAA AAINAN & om ge aHAIN FEI S oS LAT ROAMDOR AHA ON|OONM HOE OO 2 aS oS ~ WOON (AO SO HOO [00 1D CO ODO cot . . . Cees) pe ef | (PE ae Need a OE eet) PR ROAST I B SSSSHHAHAAHAINASASINGAR GSS S di S SSAA ios 05 O53 |S OS A Jd ny, De ee RAs NINAN GD Ba oF ge mMNIN S) S So TNPODISONHODIS OR ARIA HANINANANA a x So TON ODI AMN AAO Hid o i or ° 10 OG a x mt SSSSHAHH AAW SHS NS OS NASBS g 6 as SSOHAIN A Aid 05 Maas Sx a iS N Sol of = S oS TN HODIOT MON (AON OW|HMAHO|DOM ID H/O9 3 28 ~ HONOSIOCHOAIBIOWDOR OND ° pps Si RS man MR APN [Da con mor pil[Dierye ick ts shoe asl ee so el |Past aa ce ec Pane asec | Li ne etree ARG So BHAA SN Gao sK SISA SHIS SSCHHINANAM IR Faid Glas a i) 2oeo SAA IANAAN (CO 2, gi9 AIAN _ = ok LAH NIOAMHO|MDNMHONNNOCHIOPAONNICD » oS THO AIDAMDOOM/OINGMDOADLINADS 1 Sins = Sada Seam mrt aes een. el | Renny acy mee [ae creer ter Se fot dogo IMI) ne | ise — S| Pare cag oy Nl Rae erry onl (Cee a ore ae Oiee dildos AH SHIGA wBHS|IS SSHHAANNN GS SRHSAINSS a Eo SSoo|sn Ho Ca Ios Sais digases Di gs mM RINN OD = S 22 NEN |WON CGN OOOO CRMNOKR|MORMOIKH = 2S ~ TRATION ANCHOHAION So pelereeis| (SOLE IIR pary Bene cal arin Smerinr| MiP Meare arc [teas eine Weis sled lee a nated eit orem nnd Modis S|HS redid |oh SSHHAANAN GSR SOHN ON = oS ~AMIDO|IDMAAM AHSAN OM OINAHO|AR ND HH 210 5 oe SSSSISSHAHHGASNI SAM SN ABS SN Sealed oes a Eo SAARI RNNNINGA ry \_ eae | LSS | LS Ae FE See | eae al | Pee Ee ee Te T AAD A HOR NDISSSSS ScoooojooooColce was. SPAIN sO coe ocooooljeso agse Ca ea [ eas SRO leis GSMHOBS| AA os Wis [co EC iy Sie 21 a Ne ie an od wid ]ed x od a sh SS Poe

[Page 175

TABLE 30.

Reduction to be Applied to Altitudes near the Meridian.

: : 2 Paleo s ANA H/9ONDG|SOCO EER gs ANDHHDONWAIDOO ONO, 10510) 4.0 s © 0 © © ef 2 oe SRES ined i PEER iaied a mwa = DOM ONDA Aa 09 > S _ DOAAPS O AIG GO [a oN 2.26 9 59 wall 9 9n0 50 S OS || S ona navalla 670-80 0 ye) a SAN 69 tad Sr 05/05 OOS S ~ oid S| SNA Sril0d 6 19 gg IN bt ga Ss = 2S DOM WHOA D100 O19 = =) 09 © GO ASHI DAVID [0010 as) SANG IWS SNM ONS Pe) * Feied S| SNS laid fo | es aly ® | e& SaiRa = eS ONOFT|MACON|ORN : S MrT OIANROAING ons S. oh ano alluq anon ano S om S La ndmanalleano ane > SAN CS did OO oO 16 ie) A515) OS HIN wi io | ef (eas & | &§ aah S S COR 19 O|NI OOM 19 (DOD 5 Ss ATR OO DING aS oN O29 BG mail GO| 79 up) a) Sb Ga ekl pa conn 6 0 Go) SAAN OS |Hidid Sr ]0d 6 wi ay AAS HSM OSS 19 eN LION a) eS Salsee | Ress fs See eee eM eon al ek ee leas ah Nees amen g so SHA od [dH iid SN dS wi & ~ AAS NS BS 05.5. S |i o8 Q No) an aA oH ge Sl a N a 2 N a ~ 3 ~ tal Rs ae See IG ee a ee alc eee dq ou es SHAS lS did SN [Nida a E Gd AN 6d wipid 5 S| 05 8 19 BA rN OD 8 ry ge SIAN AS} > > Bee Ree enn ce Sere orator re ee aieten ea ore lecermine o nN Be CHANGSHA IS SSN is AaS 53 a) HASH ON ASA =| 19 En Bice Ss © 4 x g BD S ROAR HAOO HRA . eS AAC HIDON WAS a) S ahd alla Gq alo 4 AG 0 q ro OH Soa an Talla oo nA a 9 on a SANA od Wididsd Is dia 9 iN AAS HPs SMO a 19 en | CN a © eg (Suen 2 > e cS og SE ee Be ee ae ea la Bee Gury = is SANA Jed Wid id ol Hw om iN AAGAIS SMOSIS A eS 19 4 HAN B © ee ION iS) D ok RTA OHO AION NO 8 = 7) SAA CVO 69 09 <H SH 00 : < . CVO a ee a ry EG a Ge a TT EN GAR AEA RO RO ASO = S 5 SANA [SH TIS SSO © il “AAG ANSSMAGISS a 19 gS aAN a ry es aN = of RHON|MOnRMOINMON = S kel Pea Ss S86 9 a alld onan opal baat mag S OH seh e speci |Meat eats See : S SANA [od HG SIS SS i) AA GAPS SMAGISSS ES FAN ext bea or) iY} aq © N = oS OM AON ADNAN OHO = ok SSODOlPARAARDONOS SO 0 a RGA A . Bo) S05 05 Hid 15 fo I 3.15 S ~ FN 6d di ]ehad SP 05]05 35.95 Eo mon ex mN ~~ = © N = ok _ ONOW/ARHOOINGRS = os DD D200 100 COME [OO NCO oP SrA |05 065 Hid 15/5 od Ht S ~ SH Oi od |wHid cS BS 06/05 05 05 ~ gg aN % ex aN = of CANDHIOCONDHOONS S S DDO | O19 19 HOO S eka alee reyes a Patera ne Oh ; oS SrA [05 05 Hid 5 I od oH po ~ Sridicd [wid SPs 05 ]05 05 06 Em mon go mn ~ 4 io) aq Tee TANGO HD OM OP/OOSS ree TANT NOR OAROSS sa 5 vo dio «oa 0 B= = [Sn] CRC ON ; SHER = Maio Base 3 mA oD = Lak)

Page 176] TABLE 381.

Natural Trigonometric Functions.

0° : 1°

‘ sin tan ; sin tan cot

0 | .00000) . 00000 2 01745) . 01746) 57. 290 1 029 029 774 775) 56. 351 2 058 058 803 804} 55. 442 3 087 O87 832 833) 54. 561 4 116 116 862 862} 53. 709 5 145 145 891 891) 52. 882 6 175 175 920 920) 52. 081 ul 204 204 949 949) 51. 303 8 | . 00233) . 00233 - 01978] . 01978) 50. 549 9 262 262 - 02007] .02007| 49. 816 10 291 291 036 036) 49. 104) . ll 320 320 065 066} 48. 412 12 349 349 094 095] 47. 740

13 378 378

14 407 407

15 436 436

16 465 465

17 | . 00495) . 00495

18 524 524 553

123 124) 47. 085

152 153} 46. 449 181 182) 45. 829

211 211} 45. 226

240} . 02240} 44. 639

269 269} 44. 066

298 298) 43. 508

- 02327 328] 42. 964) . 99973] 40 356 357| 42. 433 972) 39 385 386] 41. 916 972) 38 414 415} 41. 411 971) 37 443 444} 40. 917 970} 36 472 501) . 530 560 589 . 02618 647 676 705 734 763) . 792 . 02821 850 879 908 2 938 967 - 02996 - 03025] . 054 083 112 141 170 199 228 - 03257] . 286 316 345 374 403 432 461 - 03490) . cos

66806°—38——12

TABLE 31.

Natural Trigonometric Functions.

cot

[Page 177

cos

19. 081 18. 976 - 871 . 768 . 666

- 99863

857

. 564

855

Serb OY “T7006

Page 178] TABLE 31.

Natural Trigonometric Functions.

4° 5° sin tan cot cos sin tan cot cos - 06976] . 06993) 14.301] . 99756 11. 430} . 99619) - 07005] . 07022 . 241 754 8 . 392 6 034 . 182 063 . 124 092 . 065

121 14. 008 150 13. 951 179 . 894 208 - 838 237] . . 782 - 08976) . . 07266 727). - 09005 295 324 353 382 411 440 469 . 07498} . 07519 527 548 556 578 585 607 614 636 643 665 672 695

701 724

. 07730) . 07753

782

812

841

870 899 929 958 962) . 07987 - 07991] . 08017 - 08020 046 049 075 078 104 107 134 136 163 165 192 194 221 223) . 08251 '. 08252 280 281 309 339 368 397 427 456 485 . 08514

4 3

8 - 08716) . 08749 - 1045 cos cot tan i cos cot tan sin

85° 84°

TABLE 31.

Natural Trigonometric Functions.

cot sin tan cot cos 9. 5144 - 12278) 8. 1443) . 99255 . 4878 2 . 1248 251 . 4614 . 1054 248 - 4352 . 0860 244 . 4090 . 0667 240 . 3831 . 0476 237 . 8572 ) . 0285 233 . 8315 8. 0095 230 . 3060 : 7. 9906 226 . 2806 2 . 9718 222 . 2553) . - 9530} . 99219 . 2302 . 9344 215 . 2052 . 9158 211 . 1803 . 8973 208 . 1555 . 8789 204 . 1309 - 8606 200 . 1065 . 7. 8424 197 . 0821 . 8243 193 . 0579 : . 8062 189 . 0338 . 7882 186 . 0098) . . 7704} . 99182 - 9860 . 7525 178 . 9623 - 7348 175 . 9387 - 7171 171 . 9152 5 . 6996 . 8919 . 6821 . 8686 . 6647 . 8455 . 6473 . 8225 . 6301 . 7996 b . 6129 . 7769} . - 5958) . . 7542 . 5787 - 7317 - 5618 . 7093 3 . 5449 . 6870 . 5281 . 6648 . 5113 . 6427 : - 4947 . 6208 : - 4781 . 5989 - 4615 . 5772 - 4451 . 5555] . - 4287] . . 5340 ‘ . 4124 . 5126 . 8962 . 4913 . 8800 - 4701 5 - 3639 . 4490 . 8479 . 4280 . 3319 - 4071 . 3160 . 3863 . 8002 . 3656 5 . 2844 . 8450] . 997 . 2687) . . 8245 . 2531 . 3041 - . 2375 - 2838 . 2220 - 2636 - 2066 . 2484 ; . 1912 . 2234 . 1759 . 2035 - 1607 . 1837 . 1455 249) . 1640 . 1304 - 12187| . 12278] 8.1448) . 99255 i 60 | . 13917 7.1154

cos cot tan sin cos tan

Sew WH Oyo 1006

Page 180] TABLE 31.

Natural Trigonometric Functions.

8° 9°

cot ‘ i tan cot cos 7.1154 C - 15838) 6.3138) . 98769

. 1004 868) . 3019

. 0855 898) . 2901

. 0706 928) . 2783

. 0558 8 958| . 2666

. 0410 - 15988] . 2549

. 0264 3 -16017| . 2432

0117 L 047| . 2316

- 9972 077| . 2200

- 9827 107| 6. 2085

. 9682 137} .1970| .

. 9538 167} . 1856

- 93895 196} . 1742

. 9252 226| . 1628

. 9110 . 16256) . 1515

. 8969 286) . 1402

. 8828 316) . 1290

. 8687) . 346} .1178

. 8548 376] 6. 1066

. 8408 405| .0955

. 8269 4 435| . 0844) .

. 8131 ; 465) . 0734

. 7994 ‘ . 16495} . 0624

. 7856 525} .0514

. 7720 555) . 0405

. 7584) . 585| . 0296

. 7448 615) . 0188

. 7313 645] 6. 0080

. 7179 674| 5. 9972

. 7045 704) . 9865

. 6912 . 16734) . 9758] .

. 6779 2 764) . 9651

. 6646 7941 . 9545

. 6514 824| . 9439

. 6383]. 854] . 9333

. 6252 884} . 9228

. 6122 914) 5. 9124

. 5992 944; . 9019

. 5863 - 16974; . 8915

. 5734 : -17004| . 8811

. 5606 033) . 8708) .

. 5478 063] . 8605

. 5350 4 093] . 8502

. 5223) . 123} . 8400

. 5097 153} 5. 8298

. 4971 183} . 8197

. 4846 . 17213} . 8095

. 4721 243] +. 7994

. 4596 273] . 7894

- 4472 303) . 7794

. 4348 333] . 7694) .

- 4225 363] . 7594

. 4103} . 393] 5. 7495

. 8980 . 17423] . 7396

. 8859 453] . 7297

. 8737 483) . 7199

. 8617 513] .7101

. 3496 543] . 7004

. 3376 573] . 6906

809] . 3257 603) . 6809 486

- 15838] 6.3138) . _- 17633) 5. 6713] . 98481

cot tan cot tan sin

80°

SrPNwWwKhOO NOOO TORN WROONIMO

sin tan

10°

cot

TABLE 31.

Natural Trigonometric Functions.

. 5. 1446) . 98163

[Page 181

cot cos

. 1366 157] 59 . 1286 152) 58 . 1207 146 . 1128 140

. 1049 135 . 0970 129] 54 . 0892 124) 53 . 0814 118} 52 5. 0736} . 98112} 51

. 0658 107) 50 - 0581 101) 49 . 0504 096] 48 - 0427 090} 47 . 0850 084) 46

cos cot

79°

tan

sin

.17365| . 17633| 5. 6713] . 98481 393 663| .6617| 476 422| 693]. 6521 471 451 723| .6425| 466 479 753| .6329| 461 508|-783| «. 6234| «455 537| . 17813] .6140| 450

17565, 843] .6045| 445 594, 873] . 5951 440 623 903) .5857| 435 651 933] 5. 5764| . 98430 680| 963] . 5671 425 708] .17993| .5578| 420 737| .18023| .5485| 414 766| __(053|_. 5393|___—_—-409

17794) 083| . 5301) 404 823 113} .5209} 399 852 143| .5118} 394 380 173] . 5026 389 909] 203) . 4936] 383 937| 233] 5. 4845] . 98378 966] . 18263] .4755| 373

17995 293] .4665| 368

. 18023} 323). 4575 362 052| —-353| 4486] «357 081 384| .4397| 352 109| 414) .4308| 347 138) 444] .4219| 341 166} 474] . 4131 336 195] . 18504! . 4043 331 224; 534) 5. 3955| . 98325 252) 564| .3868| 320

18281 594| . 3781 315 309| 624] .3694 310 338) 654| . 3607) 304 367|684| . 3521 299 395| 714] . 3435 294 424| . 18745] .3349| 288 452| 775] . 3263) 283 481 805] . 3178] 277

18509} 835| 5. 3093| . 98272 538, 865| .3008| 267 567| 895] . 2924 261 595| 925| .2839] 256 624] 955}. 2755 250 652| . 18986] .2672| 245 681| .19016| .2588| 240 710| 046) . 2505} 234 738| 076| .2422| 229

18767 106]. 2339| 223 795 136| 5. 2257] . 98218 824 166 .2174| 2121 9 852 197 .2092| 207] 8 881| . 19227| . 2011 201] 7 910| 257|_ . 1929 196] 6 938, 287| .1848| 190] 5 967| 317| . 1767 185] 4

.18995| 347] . 1686 179| 3

. 19024] 378] . 1606 174] 2 052| 408] . 1526 168 1

. 0273 079) 45 . 0197 073] 44 . 0121 067) 43 5. 0045 061) 42 4. 9969) . 98056} 41

- 9894 050) 40 . 9819 044) 39 . 9744 039} 38 - 9669 033} 37 . 9594 027) 36

- 9520 021) 35 . 9446 016) 34 4. 9372 010) 33 - 9298) . 98004] 32 - 9225] . 97998) 31

. 9152 992) 30 . 9078 987| 29 . 9006 981] 28 - 8933 975] 27 - 8860 969) 26

4. 8788 963) 25 . 8716 958] 24 - 8644) . 97952] 23 . 8573 946) 22 - 8501 940} 21

. 8430 934) 20 - 8359 928] 19 - 8288 922) 18 . 8218 916) 4. 8147) . 97910

- 7729 875

. 8077 905 - 8007 899) 14 . 7937 893] 13 . 7867 887 . 7798 881

- 7659 869 4.7591) . 97863 . 7522 857

- 7453 851

. 7385 845 - 7317 839 . 7249 833 . 7181 827

Sr bw IP OU Oo NT 00

Page 182] TABLE 31.

Natural Trigonometric Functions. 12° 13° sin tan cot cos ; . 20791| . 21256) 4. 7046) .97815 820 286| 4. 6979 809 848 316 912 803 877 347 845 797 905 377 779 791 933 408 712 784 962 438 646 778 - 20990 469 580 772 - 21019} . 21499} 4. 6514 766 047 529 448 760 076 560 382) . 97754 104 590 317 748 132 621 252 742 161 651 187 735 189 682 122 729 218 712| 4. 6057 723 . 21246] . 21743) 4.5993 717 275 773 928 711 303 804 864 705 331 834 800 698 360 864 736) . 97692 388 895 673 686 417 925 609 680 445 956) 4. 5546 673 474) . 21986 483 667 . 21502) . 22017 420 661 530 047 357 655 559 078 294 648 587 108 232 642 616 139 169 636 644 169 107} . 97630 672 200) 4. 5045 623 701 231) 4. 4983 617 729| . 22261 922 611 . 21758 292 860 604 35 786 322 799 598

sin tan cot cos . 22495| . 23087) 4.3315) . 97437 523 117 257 430 552 148 200 424 580 179 143 417 608 209 086 411 637 240) 4. 3029 404 665 271) 4, 2972 398 693] 23301 916 391 22022) 332 859 384 750 363 803 378 778 393 747 . 97371 807 424 691 365 835 455 635 358 863 485 580 351 892 516} 4. 2524 345 920} . 23547 468 338 948 578 413 331 - 22977 608 358 325 . 23005 639 303 318 033 670 248 311 062 700 193) . 97304 090 731 139 298 118} . 23762 084 291 793] 4. 2030 284 823] 4. 1976 278 854 922 271 885 868 264 916 814 257 946 760 251 316] . 23977 706 244 345) . 24008) 653) . 97237 373 039 600 230 401 069 547 223 429 100} 4. 1493 217 458 131 441 210 . 23486 162 388 203

CONAN WNES

36 814 353 737 592 514 193} 335 196 37 843 383 676 585 542 223 282 189 38 871 414 615 579 571] . 24254 230 182 39 899 444 555 573 599 285 178 176 40 928 475) 4. 4494) . 97566} 627 316 126) . 97169 41 956] . 22505 434 560 656 347 074 162

42 | . 21985 536 373 553 43 | . 22013 567 313 547

684 377| 4. 1022 155 712 408} 4. 0970 148

44 041 597 253 541 . 23740 439, 918 141

45 070 628 194 534 769) . 24470 867 134

46 098 658 134 528 797 501 815 127

47 126 689 075 521 825 532 764 120

48 155 719} 4. 4015 515 853 562 713 113

49 183] . 22750} 4. 3956 508 882 593 662 106

50 212 781 897] . 97502 910 624 611] . 97100

51 240 811 838) 496) 9 938 655 560 093) 9

52 | . 22268 842 779 489) 8 966] . 24686} 4. 0509 086] 8

53 297 872 721 483] 7 - 23995 717 459) 079} 7

54 325 903 662 476) 6 - 24023 747 408} 072] 6

55 353 934 604 470) 5 051 778 358 065) 5

56 382 964 546 463} 4 079 809 308 058) 4

57 410} . 22995 488 457] 3 108 840 257 051] 3

58 | 438] . 23026 430 450) 2 136 871 207 044) 2

59 467 056 372 444 ‘ 164 902 158 037] 1 0

60 | . 22495) . 23087) 4. 3315] . 97437

- 24192) . 24933] 4.0108) . 97030

cot tan sin cos cot tan sin

zic( es 76°

~ ~|

TABLE 31. [Page 183

Natural Trigonometric Functions.

15°

sin tan cot

- 25882] . 26795) 3.7321) .

910 826

938 857 888 920 951

- 26982

. 27013 044 076

107

- 26976

- 27004 046 032 077 060 109 088 140 116 172 144 203 172] . 28234 200 266 228 297 256

Page 184]

cot

TABLE 31.

Natural Trigonometric Functiors.

cos

3. 4874 836 798 760 722

- 96126 118 110 102 094

684 646 608 . 4570 533

086 078 . 96070 062 054

495

046 037 029 021 013

- 96005 - 95997 989 981 972

964

764 792

51 52

820 847 875 903 931

959

- 28987] .

- 29015 042 070

098, 126 154 182 209

- 29237

cos

- 30573

cot

SRN WR OU NIOOS

sin

tan

cot

cos

- 29237 265 293 321 348

- 30573 605 637 669 700

3. 2709 675 641 607 573

376 404 432 460

- 29487

Sameer:

732 764 . 30796 828 860

539 506 3. 2472 438 405

- 95630) 622 613 605 596 588 579 571 562 554

515 543 571 599 626

891 923 955 - 30987 - 31019

371 338 305 272 3. 2238

- 95545 536 528 519 511

654 682 710 . 29737 765

051 083 115 147 178

793 821 849 876 904

210 242 . 31274 306 338

205 172 139 106 073 041 3. 2008 3. 1975 943 910

502) 45

493 485 476 467 - 95459 450 441 433 424

932 960 - 29987 - 30015

370

043) .

878 845 813 780 3. 1748

415

407 398 389 380

071 098 126 154 182

716 684 652 620 588

- 95372 363 354 345 337

209 237

. 80265) .

292 320

556 524 3. 1492 460 429

328 319 310) 301 293

348 376 403 431 459

397 366 334 303 3. 1271

- 95284 275 260 257 248)

- 30486 514 542 570 597

240 209 178 146 115

625 653, 680

- 30708) .

736

084 053 3. 1022 3. 0991 961

240) 231 222 213 204 - 95195 186 177 168 159

763 791 819 846 874

- 30902} .

930 899 868 838 807 3. 0777

150 142 133 124 115

tan

- 95106 sin

SeNWwWRONOATIHOS

TABLE 31.

Natural Trigonometric Functions.

18°

g sin tan cot cos 0 | . 30902) . 32492) 3.0777| . 95106] 60 1 929 524 746 097] 59 2 957 556 716 088] 58 3 | .30985 588 686 079] 57 4 | .31012 621 655 070} 56 5 040 653 625 061) 55 6 068 685 595] . 95052) 54 7 095 717 565 043] 53 8 123] . 32749 535 033] 52 9 151 782) 3. 0505 024) 51 10 178 814 475 015} 50 11 206 846 445) . 95006} 49 12 233 878 415] .94997| 48 13 261 911 385 988) 47 14 | . 31289 943 356 979] 46 15 316} . 32975 326 970) 45 16 344! . 33007 296 961] 44 17 372 040) 3. 0267 952) 43 18 399 072 237 943] 42 19 427 104 208 933] 41 20 454 136 178) . 94924] 40 21 482 169 149 915} 39 22 | . 31510 201 120 906) 38 23 537 233 090 897| 37 24 565] . 33266 061 888] 36 25 593 298 032 878} 35 26 620 330} 3. 0003 869} 34 Ref 648 363] 2. 9974 860] 33 28 675 395 945) . 94851] 32 29 703, 427 916 842) 31 30 730 460 887 832] 30 31 31758) . 33492 858 823} 29 32 786 524 829 814) 28 33 813 557 800 805] 27 34 841 589 772 795} 26 35 868 621} 2. 9743 786) 25 36 896 654 714) . 94777) 24 37 923 686 686 768) 23 38 951] . 38718 657 758) 22 39 31979 751 629 749) 21 40 | . 32006 783 600 740| 20 41 034 816 572 730) 19 42 061 848 544 721) 18 43 089 881 515 712) 17 44 116 913] 2. 9487] . 94702] 16 45 144 945 459 693} 15 46 171| . 33978 431 684) 14 47 199} . 34010 403 674] 13 48 227 043 375 665} 12 49 254 075 347 656] 11 50 32282 108 319 646] 10 51 309 140} 2. 9291 637) 9 52 337 173 263] . 94627) 8 53 364 205 235 618} 7 54 392) . 34238) 208 609) 6 55 419 270 180 “599) 5 56 447 303 152 590) 4 57 474 335 125 580) 3 58 502 368 097 571, 2 59 529 400 070 561) 1 60 | . 32557] . 34433) 2.9042) .94552) 0 cos cot tan sin y

71°

[Page 185 19° sin tan cot cos - 32557! . 34433] 2.9042!) . 94552) 60 584 465| 2.9015 542) 59 612 498] 2. 8987 533] 58 639 530 960 523] 57 667 563 933 514) 56 694 596 905 504) 55 722 628 878 495) 54 749 661 851 485] 53 32777 693 824 476] 52 804] . 34726 797 466} 51 832 758 770} . 94457) 50 859 791| 2. 8743 447| 49 887 824 716 438) 48 914 856 689 428] 47 942 889 662 418) 46 969 922 636 409) 45 - 32997 954 609 399] 44 - 33024) . 34987 582 390) 43 051) . 35020 556 380} 42 079 052 529 370) 41 106 085} 2. 8502] . 94361) 40 134 118 476 351) 39 161 150 449 342) 38 189 183 423 332] 37 33216 216 397 322) 36 244! . 35248 370 313] 35 271 281 344 303] 34 298 314 318 293] 33 326 346 291 284] 32 353 379} 2. 8265 274) 31 381 412 239) . 94264! 30 33408] . 35445 213 2541 29 436 AT7 187 245) 28 463 510 161 235) 27 490 5438 135 225) 26 518 576 109 215) 25 545 608 083 206] 24 573 641 057 196} 23 33600 674 032 186} 22 627] . 35707| 2. 8006 176} 21 | 655 740| 2.7980) . 94167| 20 682 772 955 157) 19 710 805 929 147] 18 737 838 903 137| 17 764 871 878 127] 16 33792 904 852 118} 15 819 937) 2. 7827 108} 14 846] . 35969 801 098} 13 874| . 36002 776] . 94088] 12 901 035 751 078} 11 929 068 725 068} 10 956 101 700 058) 9 - 33983 134 675 049) 8 - 34011 167| 2. 7650 039} 7 038] . 36199 625 029) 6 065 232 600 019) 5 093 265 575| . 94009] 4 | 120 298 550) . 93999} 3 147 331 525 989} 2 | 175 364 500 979} 1 - 34202) .36397| 2.7475] .93969] 0 cos cot tan sin | /

70°

Page 186] TABLE 31.

Natural Trigonometric Functions.

20° 21°

U sin tan cot cos sin tan cos

0 | . 34202) .36397| 2.7475] . 93969] 60 . 35837] . 38386} 2. - 93358] 60 1 2 430 450 959) 348] 59 2 463 425 949 337| 58 3 496 400 939 327| 57 4 529 376 929 316) 56 5 562 351 919 306} 55 6 595 326 909 295) 54 7 628 302 899 285) 53 8 661 277 889 93274) 52 9 . 836694] 2. 7253 879 264) 51 10 727 228] . 93869) 253] 50 11 760 204 859 243) 49 12 793 179 849 232) 48 13 826 J55 839 222) 47 14 859 130 829 211) 46 15 892 106 819 715 201) 45 16 925 082 809) 693] . 93190] 44 17 958 058 799 298 955 671 180} 438 18 - 36991 034 789 325] . 38988) 2. 5649 169} 42 19 - 37024] 2. 7009 779 352] . 39022 627 159} 41 20 057} 2. 6985) . 93769 379 055 605 148) 40 21 090 961 759 406 089 583 137] 39 22 123 937 748 434 122 561 127] 38 23 157 913 738 461 156 539 116] 37 24 190 889 728 . 36488 190 517 106} 36 25 223 865 718 515 223) 2. 5495) . 938095) 35 26 37256 841 708) 542] . 39257 473 084) 34 27 289 818 698 569 290 452 074] 33 28 322] 2. 6794 688 596 324 430 063} 32 29 355 770 677 623 357 408 052] 31 30 388 746] . 93667; 650 391 386 042] 30 31 422 723 657 677 425 365 031] 29 32 455 699 647 704 458] 2. 5343 020} 28 33 37488 675 637 . 36731) . 39492 322] . 93010) 27 34 521 652 626 758 526 300} . 92999) 26 35 554 628 616 785 559 279 988] 25 36 588] 2. 6605 606 812 593 257 978] 24 37 621 581 596 839 626 236 967] 23 38 654 558 585 867 660 214 956] 22 39 687 534 575 894 694 193 945) 21 40 37720 511} . 93565) 921) . 39727) 2. 5172 935] 20 41 754 488 555) 948 761 150 924) 19 42 787 464 544) . 36975 795 129 913) 18 43 820 441 534 - 37002 829 108} . 92902] 17 44 853} 2. 6418 524 029 862 086 892) 16 45 887 395 514 056 896 065 881) 15 46 920 371 503 083 930 044 870} 14 AT 953 348 493) 110 963 023 859] 13 48 - 37986 325 483 137| . 39997} 2. 5002 849} 12 49 - 38020 302 472 164) .40031| 2. 4981 838] 11 50 053 279| . 93462 191 065 960 827] 10 51 086 256 452 218 098 939 816] 9 52 120} 2. 6233 44] . 37245 132 918] . 92805) 8& 53 153 210 431 272 166 897 794 7 54 186 187 420) 299 200 876 784) 6 55 220 165 410 326 234! 2. 4855 773) 5 56 253 142 400 353 267 834 762) 4 57 286 119 389 380 301 813 75ll 3 58 320 096 379 407 335 792 740) 2 59 0 353 074 368 434 369 772 729) 1 60 | . 35837] . 38386] 2.6051] .93358 60 | . 37461] . 40403) 2.4751] .92718) 0

cos cot tan sin cos cot tan sin f

69° lipo 68°

TABLE 31. [Page 187

Natural Trigonometric Functions.

22° 23° Y sin tan cot y sin tan cot cos 0 | .37461| . 40403) 2.4751) . 0 | . 39073) . 42447) 2.3559) . 92050 1 488 436 730 1 100 482 539 039 2 515 470 709 2 127 516 520 028 3 542 504 689 3 153 551 501 016 4 569 538 668 4 180 585 483) . 92005 5 595 572 648 5 207 619 464| . 91994 6 622 606 627 6 234 654 445 982 7 649 640 606 7 260 688] 2. 3426 971 8 676 674 586 8 287| . 42722 407 959 9 703} . 40707] 2. 4566 9 | . 39314 757 388 948 10 | . 37730 741 545 10 341 791 369 936 11 757 775 525 11 367 826 351 925 12 784 809 504 12 394 860 332 914 13 811 843 484 13 421 894 313} . 91902 14 838 877 464 14 448 929) 2. 3294 891 15 865 911 443 15 474 963 276 879 16 892 945 423 16 501} . 42998 257 868 17 919} . 40979 403 17 528] . 43032 238 856 18 946] . 41013} 2. 4383 18 | . 39555 067 220 845 19 973 047 362 19 581 101 201 833 20 | . 37999 081 342 20 608 136 183 822 21 | . 38026 115 322 170} 2. 3164] . 91810 22 053 149 302 205 146 799 23 080 183 282 239 127 787 24 107 217 262 274 109 775 25 134] . 41251 242 308 090 764 26 161 285 222 . 43343 072 752 27 188 319} 2. 4202 378 053 TAl 28 215 353 182 412 035 729 29 241 387 162 447| 2.3017] . 91718 30 38268 421 142 i 481] 2. 2998 706 31 295 455 122 516 980 694 32 322] . 41490 102 550 962 683 33 349 524 083 585 944 671 34 376 558) 063 620 925 660 35 403 592 043 43654 907 648 36 430 626 023 689 889 636 37 456 660} 2. 4004 724| 2. 2871) . 91625 38 483 694) 2. 3984 758 853 613 39 | . 38510) . 41728 964 793 835 601 40 537 763 945 828 817 590 41 564 797 925 862 799 578 42 591 831 906 897 781 566 43 617 865 886 932 763 555 44 644 899 867 - 43966 745 543 45 671 933] 2. 3847 - 44001) 2. 2727) . 91531 46 698] . 41968 828 036 709 519 47 725) . 42002 808 071 691 508 48 | . 38752 036 789 105 673 496 49 778 070 770 140 655 484 50 805 105 750 175 637 472 51 832 139 731 9 | 210 620 461 52 859 173] 2. 3712 8 44244] 2. 2602] . 91449 53 886 207 693 7 279 584 437 54 912) . 42242 673 6 314 566 425 55 939, 276 654 5 349 549 414 56 966 310 635 4 384 531 402 57 | . 38993 345 616 3 418 513 390 58 | . 39020 379 597 2 453 496 378 59 046 413 578 1 488 478 366 60 | . 39073] . 42447) 2.3559] .92050} 0 60 | .40674| . 44523) 2. 2460) . 91355 cos cot tan sin 67° 66°

Page 188]

TABLE 31.

Natural Trigonometric Functions.

24°

y sin tan cot cos 0 | .40674| . 44523) 2. 2460) .91355| 60 1 700 558 443 343] 59 2 727 593 425 331] 58 3 753 627 408 319] 57 4 780 662 390 307] 56 5 806 697 373 295| 55 6 | . 40833 732 355 283) 54 7 860| . 44767 338] . 91272] 53 8 886 802 320 260) 52 9 913 837| 2. 2303 248} 51 10 939 872 286 236) 50 11 966 907 268 224) 49 12 | . 40992 942 251 212) 48 13 | . 41019) . 44977 234 200] 47 14 045] . 45012 216 188] 46 15 072 047 199] . 91176} 45 16 098 082 182 164] 44 17 125 117} 2. 2165 152] 438 18 151 152 148 140] 42 19 178 187 130 128] 41 20 204 222 113 116} 40 21 231) . 45257 096 104] 39 22 | . 41257 292 079} . 91092] 38 23 284 327 062 080} 37 24 310 362 045 068} 36 25 337 397 028 056} 35 26 363 432] 2. 2011 044} 34 27 390 467| 2. 1994 032] 33 28 416] . 45502 977 020} 32 29 443 538 960} . 91008} 31 30 469 573 943] . 90996] 30 31 | . 41496 608 926 984! 29 32 522 643 909 972] 28 33 549 678 892 960] 27 34 575 713 876 948] 26 | 35 602] . 45748] 2. 1859 936] 25 36 628 784 842 924) 24 37 655 819 825] . 90911} 23 38 681 854 808 899] 22 39 707 889 792 887} 21 40 | . 41734 924 775 875) 20 41 760 960 758 863] 19 42 787| . 45995 742 851} 18 43 813] . 46030} 2. 1725 839] 17 44 840 065 708 826] 16 45 866 101 692 814) 15 46 892 136 675] . 90802} 14 47 919 171 659 790) 13 48 945 206 642 778} 12 49 972 242 625 766} 11 50 | . 41998 277 609 753] 10 } 51 | . 42024 312 592 741| 9 52 051) . 46348) 2. 1576 729) 8 53 077 383 560| . 90717] 7 54 104 418 543 704) 6 55 130 454 527 692] 5 56 156 489 510 680} 4 57 183 525 494 668] 3 58 209 560 478 655] 2 59 235 595 461 643] 1 60 | .42262| .46631) 2.1445) .90631) 0 cos cot tan sin y

65°

25° tan cot cos

- 46631) 2.1445} . 90631

666 429 618

702 413 606

737 396 594

772 380 582

808 364 569

843 348 557

879 332 545

914 315 532

950} 2. 1299 520

- 46985 283] . 90507

- 47021 267 495

056 251 483

092 235 470

128 219 458

163 203 446

199 187 433

234 171 421

270} 2. 1155 408

305 139 396

. 47341 123] . 90383

377 107 371

412 092 358

448 076 346

483 060 334

519 044 321

555 028 309

590} 2. 1013 296

5 626] 2. 0997 284

- 43025] . 47662 981 271

051 698 965} . 90259

077 733 950 246

104 769 934 233

130 805 918 221

156 840 903 208

182 876 887 196

209 912) 2. 0872 183

- 43235 948 856 171

261) . 47984 840 158

287} . 48019 825 146

313 055 809} . 90133

340 091 794 120 366 127 778 108} 18 392 163 763 085} 17 . 43418 198} 2. 0748) 082] 16 445 234 732 070) 15 471| . 48270 717 057] 14 497 306 701 045] 13 523 342 686 032] 12 549 378 671 019} 11 575 414 655} . 90007) 10 602 450 640} . 89994) 9 . 43628 486] 2. 0625 981] 8 654] . 48521 609 968| 7 680 557 594 956) 6 706 593 579 943) 5 733 629 564 930) 4 759 665 549 918) 3 785 701 533 905} 2 8il 737 518 892} 1 - 43837) . 48773) 2.0503) .89879| 0 cos cot tan sin ?

64°

TABLE 31.

Natural Trigonometric Functions.

26° Y sin tan cot cos 0 | . 43837) . 48773) 2.0503] . 89879 1 863 809 488 867 2 889 845 473 854 3 916 881 458 841 4 942 917 443 828 5 968 953 428 816 6 | .43994| . 48989 413 803 7 | .44020| . 49026 398 790 8 046 062! 2. 0883 777 1 9 072 098 368 764 1 10 098 134 353] . 89752 11 124 170 338 739 12 151 206 323 726 13 177 242 308 713} 14 203 278 293 700 15 | . 44229) . 49315} 2. 0278 687 16 255 351 263 674 17 281 387 248 662 18 307 423 233 649 19 333 459 219 636 20 359 495 204! . 89623 21 385 532 189 610 22 44411 568 174 597 23 437 604 160 584 24 464! . 49640} 2. 0145 571 25 490 677 130 558 26 516 713 115 545 27 542 749 101 532 28 568 786 086 519 29 44594 822 072 506 30 620 858 057} . 89493 31 646 894 042 480 32 672 931 028 467 33 698] . 49967} 2. 0013 454) 34 724| . 50004) 1.9999 441 35 750 040 984 428) 36 44776 076 970 415 37 802 113 955 402 38 828 149 941 389 39 854 185 926 376 40 880 222 912) . 89363 41 906 258 897 350 42 932 295 883 337 43 958) . 50331) 1. 9868 324 44 | . 44984 368 854 311 45 45010 404 840 298 46 036 441 825 285 47 062 477 811 272) 48 088 514 797 259 49 114 550 782 245 50 140 587 768) . 89232) 10 51 166 623 754 219) 9 52 45192) . 50660} 1. 9740 206] 8 53 218 696 725 193] 7 54 243 733 711 180} 6 55 269 769 697| - 167] 5 56 295 806 683 153) 4 57 321 843 669 140) 3 58 347 879 654 127) 2 59 373 916 640 114, 1 60 | . 45399] . 50953] 1.9626] . 89101] 0 cos cot tan sin Y 63°

[Page 189

614

cos

cot

tan

62°

891 651 361 848 917) . 51688 347 835 942 724 333 822 968 761) 1. 9319 808 2 45994 798 306 795 - 46020 835 292) . 88782) 046 872 278 768) 072 909 265 755 097 946 251 741 123] . 51983 237 728 149) . 52020) 1. 9223 715 175 057 210 701 201 094 196) . 88688 226 131 183 674 - 46252 168 169 661 278 205 155 647 304 242 142 634 330 279 128 620 355 316) 1.9115 607 381] . 52353 101) . 88593) 407 390 088 580 433 427 074 566 458 464 061 553 - 46484 501 047 539 510 538 034 526 536 575 020 512 561 613) 1.9007] . 88499 587 650} 1. 8993 485 613) . 52687 980 472 639 724 967 458 664 761 953 445) 690 798 940 431) 10 . 46716 836 927 417) 9 742 873 913 404) 8 767 910} 1. 8900} . 88390} 7 793 947 887 377|_ 6 819) . 52985 873 363] 5 844) . 53022 860 349) 4 870 059 847 336] 3 896 096 834 322) 2 921 134 820 308) 1 - 46947) .53171] 1. 8807) . 88295) 0 G y

sin

Page 190]

TABLE 31.

Natural Trigonometric Functions.

28° 29°

z sin tan cot cos y sin tan cot cos 0 | .46947| .53171| 1.8807) . 88295} 60 0 | . 48481) .55431) 1. 8040} . 87462 1 973 208 794 281) 59 1 506 469 028 448 2 46999 246 781 267] 58 2 532 507 016 434 3 47024 283 768 254] 57 3 557 545] 1. 8003 420 4 050 320 755 240) 56 4 583 583) 1.7991 406 5 076 358 741 226) 55 5 608 621 979 391 6 101 395 728 213) 54 6 634 659 966 377 7 127} . 53432 715| . 88199] 53 7 659] . 55697 954 363 8 153 470 702 185} 52 8 684 736 942) . 87349 | 9 178 507 689 172) 51 9 710 774 930 335 10 47204 545] 1. 8676 158} 50 10 48735 812 917 321 11 229 582 663 144] 49 11 761 850 905 306 12 255 620 650 130] 48 12 786 888} 1. 7893 292 13 281 657 637 117) 47 13 811 926 881 278 14 306 694 624] . 88103) 46 14 837| . 55964 868 264 15 332] . 53732 611 089} 45 15 862) . 56003 856 250 16 358 769 598 075) 44 16 888 041 844) . 87235 17 383 807 585 062) 43 17 913 079 832 221 18 47409 844 572 048} 42 18 938 117 820 207 19 434 882 559 034) 41 19 964 156 808 193 20 460 920) 1. 8546 020} 40 20 | . 48989 194) 1. 7796 178 21 486 957 533] . 88006} 39 21 | .49014 232 783 164 22 511} .53995 520) . 87993) 38 22 040 270 771 150 23 537| . 54032 507 979) 37 23 065] . 56309 759 136 24 562 070 495 965] 36 24 090 347 747| . 87121 25 588 107 482 951] 35 25 116 385 735 107 26 47614 145 469 937) 34 26 141 424 723 093 27 639 183 456 923) 33 27 166 462 711 079 28 665 220 443 909] 32 28 49192 501} 1. 7699 064 29 690 258 430 896] 31 29 217 539 687 050 30 716 296} 1. 8418) . 87882) 30 30 242) . 56577 675 036 31 741| . 54833 405 868] 29 31 268 616 663 021 32 767 371 392 854] 28 32 293 654 651) . 87007 33 793 409 379 840] 27 33 318 693 639] . 86993 34 47818 446 367 826] 26 34 344 731 627 978 35 844 484 354 812] 25 35 369 769 615 964 36 869 522 341 798) 24 36 49394 808} 1. 7603 949 37 895 560 329| . 87784] 23 37 419 846 591 935 38 920 597 316 770) 22 38 445 885 579 921 39 946 635 303} - 756) 21 | 39 470 923 567 906 40 971) . 54673) 1. 8291 743] 20 40 495| . 56962 556 892 Al 47997 711 278 729) 19 4l 521} . 57000 544 878 42 48022 748 265 715) 18 42 546 039 532] . 86863 43 048 786 253 701) 17 43 571 078 520 849 44 073 824 240 687] 16 44 49596 116} 1. 7508 834 45 099 862 228) . 87673} 15 45 622 155 496 820 46 124 900 215 659) 14 46 647 193 485 805 47 150 938 202 645} 13 AT 672 232 473 791 48 175| .54975 190 631) 12 48 697 271 461 777 49 201! . 55013 177 617} 11 49 723 309 449 762 50 226 051) 1. 8165 603] 10 50 748) . 57348 437 748 51 48252 089 152 589) 9 51 773 386 426] . 86733 52 277 127 140} . 87575) 8 52 49798 425| 1. 7414 719 53 303 165 127 561) 7 53 824 464 402 704 54 328 203 115), 546] 6 54 849 503 391 690 55 354 241 103 532/05 55 874 541 379 675 56 379 279 090 518} 4 56 899 580 367 661 57 405 317 078 504) 3 57 924 619 355 646 58 430 355 065 490) 2 58 950 657 344 632 59 456 393 053 A476} 1 59 | .49975 696 332 617 60 | . 48481] . 55431] 1.8040} . 87462) 0 60 | .50000] . 57735) 1.7321) . 86603

cos cot tan sin U cos cot tan sin

61° 60°

TABLE 31. [Page 191 Natural Trigonometric Functions. 30° 31°

Y sin tan cot -50000| .57735| 1.7321) . 25

sin tan cot -51504| .60086] 1.6643) .85717 529 126 632 702 554 165 621 687 579 205 610 672 604 245 599 657 628 284 588 642 653 324 577 627 678] . 60364 566] . 85612 703 403 555 597 . 51728 443 545 582

9 227 085) 1. 7216

Joonee PWNS

10 | . 50252 124 205 10 753 483) 1. 6534 567) 50 11 277 162 193 778 522 523 551] 49 12 302 201 182 803 562 512 536} 48 13 327 240 170 828 602 501 521] 47 14 352 279 159 852 642 490 506] 46 15 377) . 58318 147 877) . 60681 479) . 85491) 45 16 403 357 136 902 721 469 476] 44 17 428 396 124 927 761 458 461] 43 18 453 435) 1. 7113 952 801 447 446] 42 19 478 474 102 - 51977 841 436 431) 41 20 | . 50503 513 090 - 52002 881} 1. 6426 416] 40 21 528 552 079 026 921 415 401] 39 22 553 591 067 051) . 60960 404 385] 38 23 578 631 056 076) . 61000 393) . 85370] 37 24 603) . 58670 045 101 040 383, 355] 36 25 628 709 033 126 080 372 340} 35 26 654 748 022 151 120 361 325) 34 27 679 787) 1.7011 175 160 351 310] 33 28 704 826) 1. 6999 - 52200 200 340 294) 32 29 729 865 988 225 240 329 279) 31 30 | . 50754 905 977 250 280) 1. 6319 264| 30 31 779 944 965 275) . 61320 308] . 85249) 29 32 804) . 58983 954) . 299 360 297 234) 28 33 829) . 59022 943 324 400 287 218) 27 34 854 061 932 349 440 276 203} 26 35 879 101 920 374 480 265 188} 25 36 904 140) 1. 6909 - 52399 520 255 173} 24 37 929 179 898 423 561 244 157] 23

38 954 218 887 39 | .50979 258 875

40 | . 51004 297 864

448 601 234 142 473) . 61641 223) . 85127 498, 681} 1. 6212 112

41 029] . 59336 853) . 86000 522 721 202 096} 19 | 42 054 376 842) . 547 761 191 081] 18 43 079 415 831 572 801 181 066] 17 44 104 454| 1. 6820 . 52597 842 170 051] 16 45 129 494 808 621 882 160 035| 15 46 154 533 797 646 922 149 020) 14 47 179 573 786 671| . 61962 139} . 85005] 13 48 204 612 775 696] . 62003 128] . 84989] 12 49 229] . 59651 764 720 043 118 974] 11 50 | . 51254 691 753 745 083) 1. 6107 959} 10 51 279 730 TAQ) . . 52770 124 097 943) 9 52 304 770| 1. 6731 794 164 087 928] 8 53 329 809 720 819 204 076 913] 7 54 354 849 709 844) . 62245 066| . 84897] 6 55 379 888 698 869 285 055 882) 5 56 404 928) - 687 893 325 045 866] 4 57 429| . 59967 676 918 366 034 851] 3 58 454) . 69007 665 943 406 024 836] 2 59 479 046 654 967 446 014 820] 1 60 | .51504| . 60086) 1.6643) . 8571 . 52992) . 62487) 1.6003] . 84805] 0 cos cot tan i cos cot tan sin y

_ 59° 58°

Page 192]

Natural Trigonometric Functions.

TABLE 31.

32° y sin tan cot cos cos 0 | .52992) .62487| 1. 6003) . 84805) 60 - 83867) 66 1 | .53017 527| 1.5993 789) 59 851} 59 2, 041 568 983 774] 58 835} 58 3 066 608 972 759) 57 819) 57 4 091 649 962 743) 56 804) 56 5 115 689 952 728) 55 788] 55 6 140} . 62730 941 712) 54 772) 54 7 164 770 931 697) 53 83756] 53 8 189 811 921) . 84681] 52 740) 52 9 | . 53214 852 911 666} 51 724| 51 10 238 892} 1. 5900 650] 50 708| 50 11 263 933 890 635] 49 692] 49 12 288] . 62973 880 619] 48 676) 48 13 312) . 63014 869 604| 47 660] 47 14 337 055 859 588] 46 645] 46 15 361 095 849] . 84573] 45 83629] 45 16 | . 58386 136 839 557| 44 613] 44 17 411 177 829 542] 43 597] 43 18 435 217 818 526| 42 581] 42 19 460 258 808 511} 41 565} 41 20 484 299| 1. 5798 495) 40 549} 40 21 509] . 63340 788 480| 39 533] 39 22 534 380 778 464| 38 517| 38 23 558 421 768) . 84448] 37 83501] 37 24 | . 538583 462 757 433] 36 485) 36 25 607 503 747 417) 35 469] 35 26 632 544 737 402) 34 453] 34 27 656 584 727 386] 33 437| 33 | 28 681 625 717 370} 32 421| 32 29 705] . 638666 707 355] 31 405} 31 30 730 707| 1. 5697) . 84339] 30 389) 30 31 754 748 687 324| 29 83373] 29 32 | . 53779 789 677 308} 28 356] 28 33 804 830 667 292) 27 340) 27 34 828 871 657 277) 26 324] 26 | 35 853 912 647 261) 25 308] 25 36 877 953 637 245| 24 292) 24 37 902} . 63994 627 230] 23 276| 23 38 926] . 64035 617] . 84214] 22 260] 22 39 951 076 607 198] 21 83244) 21 40 | .53975 117} 1. 5597 182] 20 228] 20 41 | .54000 158 587 167] 19 212} 19 § 42 024 199 577 151} 18 195] 18 43 049 240 567 135] 17 179} 17 44 073 281 557 120} 16 163] 16 45 097| - 64822 547] . 84104] 15 147) 15 46 122 363 537 O88! 14 131] 14 47 146 404 527 072) 13 83115} 13 48 171 446 517 057} 12 098} 12 49 195 487 507 041} 11 082] 11 50 | . 54220 528] 1. 5497 025; 10 066} 10 51 244 569 487] . 84009] 9 050] 9 52 269] . 64610 477| . 83994) 8 034] 8 53 293 652 468 978| 7 017) 7 54 317 693 458 962] 6 - 83001} 6 55 342 734 448 946] 5 - 82985] 5 56 366 775 438 930] 4 969) 4 57 391 817 428 915] 3 953] 3 58 415 858 418 899] 2 936] 2 59 440 899 408 883} 1 920) 1 60 | .54464| .64941| 1.5399) . 83867] 0 - 82904) 0 cos cot tan sin U sin cal

TABLE 31. [Page 193

Natural Trigonometric Functions.

1949) .

934 925 . 3916 908 . 56976] . 2158401 oy ~ 57000 891 024 : 882 047 874] . 071 865 095 ya Si) sO: 119 848 143 . 3840 167| . : 831 . 57191 823 215 _637 ue 238 806] . 477| 798 521| 789 565| 781 610] 772 . 58779| .72654| 1. 3764

cos cot tan

66806°—38——_13

Page 194]

TABLE 31.

Natural Trigonometric Functions.

36° Z sin | tan cot cos - 58779] . 72654] 1.3764] . 80902 802 699 755 885 826 743 747 867 849 788 739 850 873 832 730 833 896 877 722 816 920 921 713 799 943] . 72966 705| . 80782 967| . 73010 697 765 - 58990 055 688 748 - 59014 100} 1. 3680 730 037 144 672 712 061 189 663 696 084 234 655 679 108 278 647 662 131] . 73323 638] . 80644 154 368 630 627 178} = 418 622 610 201 457 613 593 - 59225 502 605 576 248 547) 1. 3597 558 272 592 588 541 295] . 73637 580} . 80524 318 681 572 507 342 726 564 489 365 771 555 472 389 816 547 455 . 59412 861 539 438 436 906 531 420 459 951 522 403 482) . 73996) 1. 3514} . 80386 506] . 74041 506 368 529 086 498 351 552 131 490 334 576 176 481 316 . 59599 221 473 299 622 267 465 282 646 312 457| . 80264 669] . 74357 449 247 693 402 440 230 716 447| 1. 34382 212 739 492 424 195 763 538 416 178 . 59786 583 408 160 809 628 400 143 832| . 74674 392) . 80125 856 719 384 108 879 764 375 091 902 810 367 073 926 855 359 056 949 900} 1. 3351 038 972 946 343 021 - 59995) . 74991 335] . 80003 - 60019] . 75037 327| . 79986 042 082 319 968 065 128 311 951 089 173 303 934 112 219 295 916 135 264 287 899 158 310 278 881

cos

cot

tan

53°

- 60182] . 75355) 1.3270) . 79864

sin

0 | .60182 60 1 205 59 2 228 58 3 251 57 4 274 56 5 298 55 6 321 54 7 344 53 8 367 52 | 9 | . 60390 51 10 414 50 11 437 49 12 460 48 13 483 47 14 506 46 15 529 45 16 553 44 17 | . 60576 43 18 599 42 19 622 41 20 645 40 21 668 39 22 691 38 23 714 37 24 738 36 25 761 35 26 | . 60784 34. 27 807 33 28 830 32 29] 853 31 30 876 30 31 899 29 32 922 28 33 945 27 34 968 26 35 | . 60991 25 36 | . 61015 37 038 23 38 061 22 39 084 21 40 107 20 41 130 19 42 153 18 43 176 17 44 | . 61199 16 45 222 15 46 245 14 47 268 13 48 291 12 49 314 11 50 337 10 51 360 9 52 | . 61383 8 53 406 7 54 429 6 55 | 451 5 56 474 4 57 497 3 58 520 2 59 543 1 60 | . 61566 0

cos

sin

TABLE 31. [Page 195

Natural Trigonometric Functions.

39° tan cot - 62932] . 80978] 1. 2349 955) . 81027 342 - 62977 075 334 - 63000 123 327 022 171 320 045 220 312 068 268 305 090 316 298 113 364 290] . 135 413 283 . 63158 461) 1. 2276 180] . 268 203 261 254 248 j 247 239 232) . 225 218 210 946) 1. 2203 - 81995 196 - 82044 189 310 092 181) . 77292 141 174 273 190 167 238 160 287 153 336 145 229) . 79496) | : 385 1388 251 544) 1. 434) 1.2131) . 274 591 : 5 124 297 531 117 320 | 109 342 102 095 088 081 074 066 1. 2059 052 045 038 120 031 169 ec 218 268 009 317} 1. 2002 366) 1.1995 415 . 83465 514 564 613] __—«9€ 662| 95

761 811 860 - 64279) . 83910) 1.1918

cot

OONOO PWR S

Se bw OO AT00 0

Page 196]

tan cot i

- 83910} 1.1918] . 76604

- 83960 910 586

- 84009 903 567 059 896 548 108 889 530

TABLE 31.

Natural Trigonometric Functions.

158 882 511

- 65606

- 86929

0 1. 1504) . 75471

cos

cot

tan sin

49°

tan cot - 86929) 1. 1504 - 86980 497 - 87031 490 082 483 133 477 184 470 236 463 287 456 338 450 389 443 441] 1. 1436 - 87492 430 543 423 595 416 646 410 698 403 749 396 801 389 852 383 904 376 - 87955] 1. 1369 - 88007 363 059 356 110 349 162 343 265 329 317 323 369 316 421 310 524 296 576 290 628 283 680 276 G32 270 784 263 836 257 888 250 940 243 - 88992] 1. 1237

| . 66913

- 90040

Se NWO T000

1. 1106) .

cos

cot

tan

cot

TABLE 31.

Natural Trigonometric Functions.

- 90040

1, 1106

[Page 197

385

901 923 944 965

439 - 92493 547 601 655

- 67987

709} _

763 817 872 926

- 92980 - 93034 088 143 197 - 93252

SRN WHOUDNTOCO

- 69466) .

1. 0355

cos

tan

Page 198] TABLE 31.

Natural Trigonometric Functions.

———— ed

1. 0000 cot

1. 0000 tan

TABLE 32. [Page 199 Logarithms of Numbers.

100

2 3 d d d 8 9 Prop. Parts 00087/|43/00130 43 43 43|00346}43|00389

518 561 42 43 43|00775/42100817 00945/43|00988 43 42) 42/01199}43|01242 01368/42/01410 42 42 42|01620|42|01662 01787|41/01828 41 42 41|02036)42/02078

02202)41102243 42} 449 490 41|02857/41/02898 40|03262/40|03302 40|03663)40|03703 03782/40 40 39/04060}40/04100 04179)39) 40 39] 454 493

571\39 39 : 39|04844/39|04883 04961)38 39 39/0523 1/38|05269 05346/39105385 38 38| 614/338/05652 05729)38105767 37 38|05994/38|06032

06108)|37|/06145 38 37 38106371 408 483 521 37 37 37|06744/37|06781 06856)37|/06893 37 37 37/07 115)36|07151 07225)37|07262 36 37 37| 482 518 591 628 36 36 37|07846|36/07882

07954)36,07990 36 36 36|08207/|36|08243 08314\36/08350 35 36 565 600 35 35 08920)35|08955 35 35 09272/35|09307 35 35 621)\35|09656

35 35 09968)35}10003 34 35) 10312}34| 346 34 34 653/34|10687 34 34 10992/33/11025 34 33 11327)34| 361

DOMDYNMHHHAWN-—O

OCWAOIBDUHLWN—-O

OOMDINHDNLWN—O

33 34 661/33/11694 11760)33) 33 33 11992)|32|12024 12090/33)12123 32) 33 12320]32| 352

418)32) 450 33 32) 646|32/12678 12743)32/12775 33 32 12969)32|13001

CWUMIMDMARWN—O

13066|32)/13098 32 32) 13290)32} 322 32} 418 32 32 609)311 640 3113735 32 31 13925/31/13956 32)14051 31 32 14239)31|14270 31] 364 32) 31 551)31} 582

644 31 30 14860]31/14891 31/14953 30 15168}30/15198 30|15259 31 473 503 30 15776)30|15806 30 16077/30|16107

30 376 406 29 673 702 16820]30|16850|29|16879)30 16967/30|16997 17114|29]17143)30)17173}29 29/17260)29/17289

406|29 29 29] 55]

OCVUDIMDMNARWN=-—O

17696|29 17725)29|17754|28 17811}29|17840|29|17869)29

CUMDYIDMNFEWNH-O

7 8 9

Page 200]

TABLE 32.

Logarithms of Numbers.

-O

OnNIHHAhWN

NON ASS N Ip PID

No.| 0 {dj 1 |d| 2 |d|) 3 jd Gl Oil) 7% jel 3 jel) lick 159 |17609|29|17638)|29|17667|29|17696|29)17725}29|17754)28|17782|29)17811|29 17840}29|17869]}29 151 |17898\28|17926)|29|17955|29|17984|29| 18013] 28] 1804-1 20/1 8070|29|1 8099} 28) 18127|29|18156)28

h 152 |18184)29|18213)28|18241|29|18270)28 28) 355/20] 384/28} 412/29} 441)\28 153 469}29]} 498}28) 526)28) 554/29 28) 6389]28) 667|29} 696)28}18724\28 154 |18752|28/18780|23|18808}29|18837|28|18865}28] 18893]28|1892 1|23|1 8949} 28) 1897 7|28| 19005)28 155 |19033]28|19061 |28|19089|23|19117}28|1914.5]28] 191 73}28)19201|28)19229|28/19257\28| 285}27 156 312\28} 340)28| 368)\28| 396\28 28) 479/28) 50728} 535\27) 562)28 157 590\28} 618|27| 645)28) 673}27 28|19756)27|19783}28|19811|27)19838}28 158 |19866]27/19893}28|19921|27|19948]28|19976)27|20003)27/20030)28|20058)27/20085)27/20112\28 159 120140)27/20167|27|201 94/28) 20222!27|20249)27 27| 303}27| 330)28} 358)\27| 385/27 160 412\27} 439]27| 466)27| 493}27 27| 575]27| 60227} 629|27| 656)27 161 683)27| '710|27/20737|26|20763|27|20790}27| 2081 7 |27|20844|27/2087 1|27|20898)27|20925|27 162 }20952|26|20978)27|21005}27|/21032|27|21059}26|21085|27/21 1 12/27/21 139}26)21165)27/21192}27 163 }21219}26/21245\27| 272\27) 299}26 26| 378]27| 405)]26} 431\27| 458)26 164 484)07} 511)]26| 537\27| 564\26 26| 643]26/ 669]27] 696)26) 722\26 165 121748}27|/21775\26|21801)26|21827}27|21854)26| 21 880|26]21906|26/21932|26/21958|27/21985)26 166 |22011|26|22037]|26|22063|26/22089)|26|221 15)26)22141)26|22167|27|22194|26|22220)26|22246)26 167 272\26| 29826) 324\26) 350\26 26| 427\26/ 453)26| 479|26} 505/26 168 531}26| 557\26) 583)25) 608)26 26| 686]26] . 712|25} 737|26/22763}26 169 |22789]25|22814|26|22840)26|22866]25|2289 1|26]229 1 7|26|22943]25|22968|26|22994|25|23019)26 170 |23045/25|23070|26|23096|25|23121|26|23147|25)23172|26|23198}25|23223|26|23249|25 274/26 171 300]25] 325/25} 350\26| 376)25 26) 452)25) 47725) 502|26| 528}25 172 5538\25] 578)\25) 603)26) 629}25 25| 704)25| 729]25|23754)25|23779|26 173 |23805]|25|23830]25|23855)|25|23880]25|23905)25]23930|25|23955|25|23980)25/24005|25/24030)25 174 |24055)25|24080)|25)/24105)25|24130}25 24|24204125|24229]05) 25425} 279|25 175 304/25) 329/24) 353)25| 378)25 24) 452l25] 47725) 502)25) 527724 176} 551\25| 576\25) 6O01\24} 625)25 25] 699]25] 72424) 748)25|24773}24 177 |24797|25/24822|24|24846)25|2487 124 24|2494.4125|24969}24|24993)25 178 |25042|24|25066)25|2509 1}24)25115}24 24|25188]24|252 1 2}25/25237|24 179 285\25] 310\24) 334l24) 358}24 406]25| 431)24| 455)24) 479}24 180°} 527/24) 551}24| 575\25} 600)24 648}24| 672\24| 696)24) 720}24

) 181 |25768}|24|25792|24|258 1 6|24|25840)|24| 25864] 24) 25888]24|259 1 2|23|25935|24|25959| 24 182 |26007]|24|26031|24|26055|24|26079|23/26 102] 24] 26 126/24) 26150|24/26174|24/26 198 )23 183 245\24| 269)24) 293]23) 316)24 864\23| 387|24| 411}24) 435)23

} 184 482\23] 505\24) 529]24) 553/)23 600\23} 62324) 647)23) 670\24 185 717/24, '7411!23] '764|24|26788)23 23] 2.6834|24|26858|23|2688 1 |24|26905]/23

H 186 |26951)\24/26975]|23|26998|23|2702 1 |24|27045} 23] 27068]23|2709 1\23|27 1 1424/27 138) 23 187 |2718423]27207}24|27231\23} 25423 300|23) 323}23) 346]24| 370\23

1 188 } 416)23) 439}23) 462|23) 485/23 531]23) 554}23) 577|23} 600)23

1 189 | 646l23| 669]23| 692\23} 71523 761/23|27 78423127807 |23|27830)22 190 |27875]|23|27898|23|27921|23/2794.4|23|27967]22|27989|23/ 280 1 2|23/28035|23/28058|23 191 |128103}23/28126]|23|28149]|22|28171)23/28194)23128217|23| 240/22} 262}23) 285|22 192 330)23| 353)22} 375)23} 39823 443]23] 466]22| 488]23} 511\22 193 556\22} 578\23} 60122} 623)23 668|23} 691)22} 713\22) 735/23 194 |28780)23/28803}22|28825|22|28847|23 2|22|289 14]23/28937|22|28959| 22 195 |29003}23/29026]22|29048)22|29070|22| 29092) 23] 291 15)22/29137|22|29159|22|29181 |22

h 196 226|22| 248]22| 270)22}, 292/22 336|22} 358)22} 380}23} 403}22 197 447|22| 469]22} 491}22} 513/22 557\22) 579221 601\22] 623)22 198 667|21) 688)22| 710/22} 732)22 p 776|22|29798)22|29820)29|29842/21 199 |29885|22129907|22|29929|22/2995 1|22|29973]21| 29994 22/3001 6/22/30038}22|30060)21 200 |30103|22/30125|21/30146|22|30168}22|30190)2113021 1 |22|30233)22/30255|21|30276)22 No. 0 1 2 3 6 o 8

TABLE 32. [Page 201 Logarithms of Numbers. No ) \icl) al ich el) 3 ic! dj 6 |d| 7 |dj 8 Jd} 9 Jd] Prop. Pars 200 |30103)22/30125)21/30146)22/30168}22 22|30233]22|30255)21)30276|22|/30298)22 201 320)21) 341)22} 363]21) 384)22 21| 449]22) 471)21) 492)22) 514)21 } 202 535}22) 557|21| 578}22) 600)21 21) 664/21) 685j)22} 7O7|21) 728\22 203 750\21| 771/21/30792)22/30814\21 22/30878]21|30899]21130920|22/30942)21 204 |30963]21/30984|22|31006]21/31027\21 22/31091/21/31112)21]31133}21/31154\21 205 |31175|22/31197)21| 218)21) 239}21 21} 302}21| 323}22} 345)21) 366/21 206 387\21| 408}21| 429]21) 450)21 21) 513}21} 584)21) 555]21| 576)21 207 597/21; 618)21} 6389]}21) 66021 21] 723)21| 744lo1} 765)20) © 785}21 208 |31806}21)31827|21/31848/21|/31869)21 20/31931}21/31952)21131973}21/31994/21 209 |32015)20/32035}21/32056)21/32077|21 21/32139]21/32160)21|32181|20)32201|\21 — — — i— fe) 210 222/21) 243/20) 263/21) 284/o1 21} 3846/20) 366)21) 387\21| 408/20 ! 211 428}21| 449)20} 469]21) 490/20 21| 552!20) 572\21) 593}20) 613)21 B 212 634/20} 654)21| 675}20) 695)20 20) 756)21) _777|20)32797|21|32818}20) ¢ 213 |32838]|20/32858/21/32879|20|/32899]|20 20|32960}20/32980)21/33001|20/33021)20] 5 214 |33041|21!33062)|20/23082)20/33102|20 20/33163]20/33183]|20| 203/21) 224\20] 6 7 215 244\20| 2641/20) 284/20) 304)21 20} 365/20) 385]20} 405\20/ 425/20 8 216 445}20). 465)21| 486}20) 506)20 20| 566/20) 586)20} 606/20} 626/20 2 217 646}20} 666)20} 68620) 706/20 20| 766)20) 786|20/33806}|20|33826)20 218 |33846/20|/33866|19}33885]20/33905|20 20/33965|20|33985)20/34005|20|34025)19 219 |34044)20/34064|20|34084)20|34104!20 20|34163]}20/34183}20] 203)20| 223)19 ° 220 | 2420) 262I201 28alie| 301i 20| 361l19| 380l20| 400\20| 420\0) 3 221 439}20| 459)20} 479}]19) 498)20 20| 557/20} 577\19| 596/20} 616\19} 4 222 635)20| 655/19} 674\20) 694/19 20| 753/19] 772\20) 792\19/34811}19) 5 223 |84830)|20/34850/19|34869)20|/34889]19 19|34947|20|34967|19|34986|19|/35005]20 S 224 |35025)19/35044|20/35064|19|/35083)}19 19|35141)19/35160}20/35180|19) 199!19 8 225 218)20| 238}19} 257\19) 276)19 19} 334]19) 353/19} 372)20) 392I19 5 226 411}19] 430}19} 449}19) 46820 19} 526)19} 545}19) 564\19} 583}20 227 | 603)19} 622\19} 641/19) 66019 19} 717\19} 736\19) 755)19| 774\19) —9 | 228 793)|20|35813}19|35832)|19/3585 1 |19 19]35908]19|35927/19/3594.6|19|35965)19 i 229 |35984|19|36003)18/36021|19|36040}19 1936097 }19|36116)19/36135}19|36154)19 B 230 |36173}19} 192|19} 211/18) 229}19 19} 286|19| 805/19} 324)18| 342/19 < 231 361}19} 380}19} 399}19) 418)}18 19} 474}19} 493}18} S11}19} 5380\19} ¢& 232 549}19| 568}18} 586)19| 605/19 19; 661)19} 680/18} 698|19} 717/19 7 233 736\18| 754/19} 773\18| 791)\19 18|36847)19|/36866/18|36884|19/36903)19} 38 234 |36922)18|36940)19|36959|18|36977|19 19|37033)18|37051/|19|37070)18|37088)19 ° 235 |37107|18/37125|19|37144|18|37162)|19 19} 218)18) 236)18} 254/19) 273/18 18 236 291}19) 310}18} 328)18) 346/19 18} 401\19/ 420)18} 488}19} 457|18 o) 237 475}18| 493}18} 511}19) 530/18 19} 585\18} 603}18} 621/18} 639)19 a 238 658\18} 676}18} 694}18} 712\19 18} 767\18| 785/18} 803}19|37822|18 3 239 137840|18/37858/18/37876|18|37894/18 18|37949]18|37967/18|37985|18|38003\18] | = = = 5 240 |38021)18/38039]13|38057|18/38075/18 18/38130)18/38148]13|/38166\18| 184/18 6 241 202/18} 220)18) 238}18| 256/18 18} 310\18) 3828)18} 346/18] 364\18 7 242 382|17| 399}18| 417\18} 435|18 18} 48918} 50718} 525\18} 543/18 8 243 56117} 57818} 596\18} 614/18 18} 668/18} 686/17) 703/18) 721/18} 46 244 739)18| 757\18) 775)17| 792!18 18|38846]17|38863)18/38881!13|38899]18 17 245 |38917|17/38934/13|38952)18|38970}17 18}39023}18|39041|17/39058)18|39076)|18 e 246 |39094)17/39111/18)39129)17/39146)18 17} 199)18} 217}18} 235\17]/ 25218 2 247 270)17| + 287}18} 305)17/ 322/18 17| 375)\18) 393)17} 410\18) 428)17 3 248 445)18) 463)17) 480}18| 49817 17} 550)18} 568\17) 585}17/ GO2Q\is} 4 249 620|17| 6387)18) 655/17] 672\18 17] 724\18} =742\17) =759\18) 977717 2 250 |39794)17/3981 1\18|39829|17/39846}17 17/39898}17|39915)18]39933)17|39950 ” g as | ENG La a LJ ba 9 No. | 0 1 2 3 6 q 8 9 10

Page 202] TABLE 32.

Logarithms of Numbers.

250

d| 1 2 lal 3 q| nals 6 8 dl Prop. Parts 7/3981 1|18|39829|17|39846|17/39863|1s|39881|17/39898 339933 39985 |17/40002117/40019|18/40037|17|40054117/40071 40106 40157\18} 175\17| 192h7| 209h7] 226\17] 243 278 329|17| 346|1s| 364{17| 381h7| 398li7| 415|17| 449 5001s} 518h7| 535h7| 552|17] 569|17| 586 620

671 688]17] 705|17] 72217) 739 756 790 40841}17|40858]17/40875)17|40892|17/40909}17|/40926 17140960 41010)17)41027|17/41044117/41061]17}41078}17|/41095 17141128

179 196}16| 212!17]) 2297) 246 263 296

347 363)17| 380}17]} 397}17} 414 430 464

OW DAIDAEWN-—O

17} 514}17) 5381)16} 547\17} 564fi7] 581 597 631 17) 681}16} 69717] 714\17] 731fiel 747 764 797 17|41847}16]41863]17|41880|16/41896]17}41913}]16|41929]17/41946)17/41963 16/42012)17/42029)16|42045|17142062}16|42078|17/42095]16/42111|16|42127 17} 177\16) 1938 210)16) 226)17} 243 259/16 292

16} 357 374\16| 390}16, 406 455 17] 521 5387\16| 55387) 570 619 17| 684 700\16| 716}16) 732 5 781 16/42846]16|/42862]16|42878}16]42894 42943 17}43008}16|43024/|16}43040]16]43056/16 16/43104 169}16} 185)16| 2O01fie} 217}\16 16| 265 297 329|16) 345!16) 36L}ie) 377)16 16| 425 457 A89)16| 505|16) 521}16) 537/16 15] 584 616 648}16| 664)16} 68O}i6 696/16 16| 743 775 807\16) 823)15) 838}16/43854)16 43886) 16|43902|15|43917

43933)16|43949]|16|43965)16/43981115/43996}16}44012 44044)15|44059)|16|44075 44091)16|44107|15|44122|16/44138]16/44154i16, 170 16] 217 248 264/15] 279)16) 295}16] 311}is} 326 15] 373 404 420 436}15| 451\16) 467}16/ 483 529 560 576 15] 607|16} 623}15} 6388/16 15] 669]16} 685

OWDIDMFWN-—O

OW MDIMRMOLRWN-O

716 731 15} 762 77815] 793\16| S8O9}15} 82416} 840)15/44855]16 44871}15|44886]16|44902)15|44917|15/44932)|16144948)15|44963)16|44979]15/44994116/45010)15 45025]15|45040)16|45056)15/4507 1115/45086]16]45102)15/45117|16|45133)15/45148 163)}16

179}15| 194)15| 209}16) 225 240/15] 255}16) 271!15) 286}15} 301 317|15)

332\15] 347/15} 362)16/ 378 393}15] 408|15) 4238}16/ 489}15} 454 469}15

484\16| 500}15} 515/15) 530 545)16] 561\15) 576)15) 591}15} 606 621)}16 286 637}|15| 652 667/15] 682 697}15] 712\16) 728}15} 743)15} 758 773}15 287 788\15| 803 818|16) 834/15/45849]15}45864)15}45879|15/45894115145909|15}45924 15 288 |45939]15|45954\15|45969]15/45984/16/46000}15}46015|15|46030/15/46045/15/46060)15/46075)15) 289 |46090}15/46105)15|46120)15/46135 150)15) +165 180 195}15} 210 225)15)

WDIDRMOKRWN-—O

290 255 270}15| 285 300}15} 315 330 345}14| 359 374\15) 291 404 419}15 464}1 479 494]15) 509 §23]15 292 553 568/15 613 627 642}15} 657 672}15 293 702 716/15 761 776 790\15} 805 820)15 294 850)14/4686415 46894115}46909)14/46923)15}46938]15/46953}14|46967)15

295 46997/15|47012)14 47041]15}47056)14]47070|15/47085}|15)47 100}14|47114)15) 296 47144 14 18814] 202)15) 217 232/14) 246 261)15 297 14 334}15] 349}14) 363 378|14| 392 407|15) 298 14 480}14) 49415] 509 524/14) 538}15} 553}14 299 15 625}15} 640)14) 654 14| 6838 69814

300 |47712 15 47770)14147784)15|47799 15|47828}14|47842)15

No. | 0 4 5 6 8 9

WOMDIDMLWN—

TABLE 32. [Page 203

Logarithms of Numbers.

300

No. 0 /dj 1 |d) 2 Jd) 3 |d)| 4 Id} 5 |d| 6 |d| 7 Jd} 8 Jd} 9 |d|Prop. Parts 300 |47712)15|47727)/14|47 74.1)15|47756/14|47770]14|47784115|47799)14147813)]15|47828|14|47842115 15 301 |47857|14)47871/|1447885|15|47900)141479 1 4|15]47929]14|47943)15|47958]14|47972|14147986|15,_|___ 302 |48001/14/48015)14/48029]15}48044)14/48058]15]48073/14/48087|14/48101|15|481 16]14/48130) 14) 0 0 303 144\15] 159}14) 173)14) 187/15) 202}14 216]14) 230}14) 244!15) 259)14] 273}14 1 9 304 287/15} 302/14) 316/14) 330)14) 344!15] 859|14) 373/14) 387\14| 401]15} 416)\14 2 3 305 430\14) 444]14) 458)15) 473}14| 48714] 501/14) 515]15) 580)14) 544)14) 558\14 é 306 572/14) 586|15} 601/14) 615)14) 629]14) 643]14) 657|14| 67115} 686\14| 700/14 5 8 307 714\14) 728)14| = 742)14) 756}14) 770f15} 785}14} 79914] 813}14) 82714) 841\14 6 9 308 855} 14148869]14/48883]14/48897|14/4891 1]15]48926]14/48940)14/48954114/48968}14/48982) 14 7\41 309 |48996|14/49010}14|49024|14/49038]14]49052}14]49066]14|49080)14/49094114/49 10814149122) 14 8 | 12 310 |49136)]14| 150)14| 164114) 178)14} 192}14 206]14) 220\14| 234/14) 248)14] 262/14 9| 14 311 276\14| 290/14} 304)14) 318}14) 332}14) 346]14| 360]14| 374\14) 388]14| 402/13

312 415)14) 42914) 448)14| 457\14) 471/14 485)14) 499}14) 513)14) 527}14) 541/13)

313 554\14| 568/14) 582/14) 596)14| 610}14 624/14) -638]13} 651]14 665]14) 679)}14

314 693|14) 707/14) 721)13) 734!14| 748}14) 762)14) 77614) 790\13} 803/14) 817)14

315 831\14| 845)]14] 859]13/49872]14149886]14]49900/14|49914)13/49927|14|49941|:4|49955\14|_ keel 316 |49969}13|/49982)14|49996)14/50010]14/50024}13|50037)14|5005 1|14|50065|14/50079)13|50092|14

317 |50106\14/50120)13/50133|14| 14714] 161)13) 174/14] 18814} 202!13} 215\14| 229}14, 1 1 318 243)\13| 256|14| 270|14) 28413] 297114] 311\14) 32513] 33814] 352l13] 365\14) 2 3 319 | 37914] 39313} 406/14] 420|13] 433|14 447\14) 461|13| 474|14) 488|13| 501/14 Z 4 320 | 515|14| 529]13} 542141 556l13] 569}14} 583|13/ 596l14| 610|13/ 623|14) 637/14) 5 | 7 321 | 651/13} 664/14} 678|13| 691|14| 705|13) 718\14) '732|13| 745|14| '759]13] 772i} 6 | 8 322 786|13| 799|14| 813|13] 826|14) $840]13] 853]14/50866|14|50880]13/50893|14|50907|13, 7 | 10 323 |50920|14/50934|13/50947|14|50961|13|50974|13150987114/51001|13|51014|14/51028)13/51041\14) 8 | 11 324 |51055|13/51068|13/51081 |14/51095|13/51108|13/51121\14| 135|13/ 148|14| 162\13/ 175|1a) 9 | 13 325 188}14| 202!13} 215)13} 228)14) 242!13) 255)13) 268]14) 282|13} 29513} 308}14!

326 322/13) 335)13} 348)14) 362/13} 375}13} 388!14) 402}13| 415)13) 428}13} 441\14

327 455)13} 468)13} 481}14) 495)13} 508f13} 521!13) 53414) 548)13! 561}13) 574}13]3- 328 587/14] 601\13} 614/13] 627|13} 640}14 654/13) 667|13| 680}13) 693]13} 706/14 13 329 720\13) =733}/13] 746)13) 759/13} 77214] 786!13} 799]13] 812\13} 825]13} 838}13} —_|__| 330 | 851|14| 865|13|51878|13|51891113|51904|13/51917/13}51930\13|51943}14|51957|13|51970|13) 1 | 1 331 |51983]13/51996|13/52009]13|52022|13/52035|13152048|13/52061 |14|52075|13/52088|13/52101\13| 2 3 332 |52114)13|52127|13| 14013] 153/13} 166f13} 179|13; 192\13) 205|13| 218|13| 23113) 3 | 4 333 | 244)13] 257\13| 270|14) 284l13] 297/13] 310|13] 323\13| 336|13) 349/13; 36213] 4) 9 334 | 375|13| 388|13| 40113] 414/13] 427|131 440|13/ 453\13; 466|13) 479|13| 49219 8 g 335 | 504/13} 517|13] 53013] 54313] 556li3} 569|13; 582\13| 595|13) 608|13| 621\13) % | 9 336 | 634/13} 647/13] 660/13] 673/13] 68613} 699|12| 711\13| 724\138| 737\13| 750|13) 8 | 10 337 | 763)13| 776|13| 789|13} 80213} 815}12! 827|13| 840|13/ 853|13/ 866|13/52879|13, 9 | 12 338 |52892/13/52905/12/529 1 7|13/52930/13/52943]13]52956!13|/52969)13/52982)12/52994113153007|13

339 |53020|13/53033]13|53046]12|53058/13|5307 1|13]53084|13/53097|13|53110/12/53122)13| 135/13

340 148]13| 161}12} 178)13} 186]13} 199}13} 212/12) 224}13} 237}13) 250/13! 263}12

341 275/13} 288)13} 301/13) 314}12} 326}13] 339]13} 352\12) 364/13! 377|13| 390/13 12 342 403}12} 415)13} 428)13) 441}12! 458}13) 466]13} 479|12) 491/13) 504]13} 517/12

343 529}13| 542}13) 555/12} 567|13} 580}13} 593)12} 605}13} 618)13} 681}12} 643/13)

344 656}12| 668)13) 681}]13} 694)12) 7O6}13} 719]13} 732\12} 744)13} 757\12} 76913) 5 d 345 782\12| 794/13] 807\13/ 820/12} 832|13} 845}12} 857|13) 870/12/53882|13/53895\13] 3 4 346 |53908)|12|53920}13/53933)12/53945/13|53958]12153970/13|53983)12|53995/13|54008)12|54020)13] 4 5 347 |54033)12/54045|13/54058|12|54070)13|54083]12/54095]13|/54108|12/54120]13) 133)12} 145\13} 5 6 348 158\12) 170/13} 183)12| 195/13} 208}12] 220]13} 233)12) 245}/13} 258)12} 270)13} 6 7 349 283}12| 295/12} 307|13) 320)12} 332]13} 345)12} 357}13) 3870)}12} 382}12) 394/13 4 a 350 |54407|12/54419)13/54432/12|54444|12/54456]13]54469)12/54481|13/54494/12/54506|12/54518}13]} 9 | 11 No. 0 1 2 3 4 5 6 { 7 8 9

Page 204] TABLE 32. Logarithms of Numbers.

350

4 |dj 5 |d

54456}13|54469)12 58013} + 593}12 70412] 716)\12 827}12} 839}12 12|54949]13)54962)12

12|55072'12|55084/12 12) 194)12] 206/12 12) 315)13} 32812 12} 437}12} 449}12 12} 5582) 570}\12

OMIM wWNre NOOO N OU We

12} 678)13} 691)12 12) 7992) S811}12 12|55919)12|5593 1/12 11/56038]12|56050}12 12} 158)i2} =170)12

12) 277}12| 289}12 4\12} 396)11) 407}\12 431 12) 514)12) 526)12 549 12} 632)12] 644/12 667 12} 750}11) 76i}i2 785

_ bo

12} 867)12} 879}12 56902 12)56984112|56996}12 57019 12/57101)12/57113}11 136 11} 217}12} 229 252 12) 3384)1) 345 368

OCOONMDOPS Whore rFPOONorPrhyr

11} 44912) 461 484 12} 565)11) 576 600 11} 680}12] 692 Al 11] 795)12} 807 830 ll 12/57910}11]57921 12 57944

12 11}58024111|58035}12 58058 11} 188}11) 149 172 12) 252!1) 2638 286 365]12] 377 399 A78}12]} 490 512

59111) 602 625 704)| 715 737 816}! 827 850 58928}11|58939 58961 59040}11)59051 59073

CHONIMPwWNre COMNAOPRWNr

184 295 406 517 627

737 59923)11159934

60032}11160043 141ji}) 152

OONODOP Wr

10}60249111160260

4 5

TABLE 32. [Page 205 Logarithms of Numbers. No. 0 |d| 1 |d) 2 |d| 3 jd) 4 {dj} 5 Jd} 6 |d| 7 |d| 8 Jd! 9 |djProp. Parts 400 |60206}11)60217}11/60228)11/60239|10|60249)11160260)11/6027 1|11/60282)11/60293/11|60304110 11 | 401 314)11) 325)11] 336)11) 347}11) 358}11) 369}10) 379}11) 390\11) 401}11) 412)13,-——|— 402 423\10} 433|11| 444\11) 455}11! 466}11) 477}10) 487/11} 498}11) 509}11} 520\)11) 1 1 | 403 531}10} 54111) 552)11) 563}11) 57410] 584l11} 595/11) 606)11} 61710! 627\11| 2 2 404 638)11) 649)11) 660}10} 67011) 681]11) 692]11) 703}10) 713}11) 724\u) 735i) 38 3 4 4 405 746\10| 756/11) 767/11) 778)10} 78811} 799\11) 810}11) S2i}10} S38iii1} 842\u}) 5 6 406 853)}10] 863)11) 874!11) 885)10}60895}11/60906}11/60917|10/60927)11/60938|11/60949}10| 6 7 | 407 }60959)|11/60970)11\60981}10}6099 1|11/61002]11161013)10/61023|11/61034)11/61045}10/61055/11] 7 8 408 |61066)11/61077)10\61087|11/61098/11) 1O9}10) 119)11} 130/10) 140\11) 151\11) 162/10] 8 9 | 409 172)11| 183)11) 194}10} 204/11) 2150] 225}11) 236]11] 247}10) 257]11] 268i10] 9 | 10 410 278)11| 289}11) 300}10/ 310)11) 321 fo 331/11; 342/10} 352/11) 363)]11) 374110 411 384/11} 395)10) 405}11) 41610} 426}11) 487|11| 448}10) 458}11] 469}10) 479)11 412 490}10} 500}11) 511}io} 521)11) 532h10) 542\11) 553\10) 563}11) 574\10) 5841 413 595)11] 606}10] 616}11) 627}10/ 637}11] 648]10) 658}11} 669]10) 679|11| 690)10 414 700}11} =711\10) =721\10} 731)11) 74210) 752!) 763)10/ 773\11) 784)10) 794\11 A415 805}10} 815}11) 826)10} 836/11) 847}10) 857\11) 868}10/ 878}10} 888}11/61899}10 416 |61909)11/61920}10/61930)11|/61941 10/6195 1]11161962/10/61972}10|61982|11|61993}10/62003}11 417 }62014)10/62024/10/62034)11|/62045}10|62055}11162066]10|62076}10|62086|11/62097|10| 107|11 418 118}10} 128}10] 138)11) 149}10} 159}11) 170/10} 180|10) 190/11) 201|10/ 211)}10 419 221}11| 232\10) 242!10} 252/11) 26310) 273)11) 284!10/ 294)10) 304!11} 315)10 420 325\10| 335)11| 346 ka 356/10! 366]11] 377|10| 387\10/ 3897|11| 408|10} 418/10 421 428}11| 439}10) 449}10/ 459)10} 469]11] 480)10) 490}10/ 500|11) 511/10} 521}10 10 | 422 531)11| 542}10) 552}19} 562\10) 572/11) 583}10) 598}10| 603}10/ 613)11) 624/10) ——|——-] 423 634}10} 644/11} 655\10/ 665)10/ 675]10} 685]11] . 696}10} 706}10} 716}10) 726)11) 1 1 424 737\10| 747\10) 757\10} 767\11) 77810] 788/10} 798\10) S8O8}10] 818]11| S829|10] 2 2 3 33 425 839}10] 849}10} 859|11) 870\10) S880}10} 890}10/62900}10/62910}11|62921)10/62931|10] 4 4 426 |62941/10/62951)|10/6296 1/11/6297 2|10|62982) 10162992) 10|63002/10|63012|10/63022/11/63033)\10| 5 5 427 |63043}10/63053)10/63063}10/63073)|10/63083)1116309-4\10) 104/10} 114{10/ 124/10) 134|10] 6 6 428 144/11) 155}10} 165}10/ 175)10} 185j10) 195}10} 205}10) 215}10/ 225/11) 236}10] 7 7 429 246/10] 256)10} 266\10) 276)10/ 286}10! 296}10) 306|11). 317}10/ 327|10/ 337\10} 8 8 = = = — 9 9 430 347\10| 357/10) 367\10/ 377/10) 887}10] 397}10) 407|10/ 417/11) 428}10/ 4388]10 431 448}\10| 458}10) 468|10/ 478}]10) 488hi0] 498/10) 508|10} 518}10) 528}10) 5388)10 432 548)10} 558}10} 568}11|° 579|10} 589}10] 599|10/ 609}10) 619]10} 629}10/ 6389]10 433 649}10} 659)10/ 669}190/ 679)10/ 689]10} 699]10/ 709}10} 719|10/ 729]10| 739}10 434 749}10| 759}10| 769}10/ 779\10} 789}10] 799}10/ 8O09}10/ 819]10} 829}10/ 839)|10 435 849}10] 859}10] 869}10/ 879}10| 889]10] 899}10}63909}10/63919|10/63929}10/63939]10 436 |63949]10/63959]10/63969}10/63979] 9163988] 10|63998|10|64008]10}64018]10|64028]|10|64038)10 437 |64048}10/64058)10|/64068)10/64078)|10|64088] 1016409810} 108]10) 118}10/ 128) 9] 187}10 438 147\10| 157)10) 167|10} 17710) 187}10} 19710) 207|10} 217|10) 227|10| 237) 9 439 246/10) 256)10} 266}/10/ 276|10/ 28610] 296|10/ 306}10/ 316\10/ 326] 9] 335)10 440 | 345h10| 355|10| 365101 375|10| 385{10| 395] 9| 404{i0| 414\10| 424{0| 434/10 441 444\10| 454)10) 464] 9] 473}10) 483}10} 493}10! 503\10) 513}10} 523] 9) 532/10 442 | 542)10) 552/10) 562}10/ 572\10) 582) 9] 591\10) 601/10) 611\10} 621}\10) 631) 9 9 | 443 640/10} 650)10) 660/10} 670)10/ 680] 9} 689]10} 699}10) 7O9}10} 719}10/ 729} 9} ——|--—j 444 738}10| 748)10/ 758\10} 768] 9) 777|10} 787\10} 797\10) 807| 9} 816]10)/ S826\10) 1 1 2 2 445 836)10] 846}10} 856] 9/ 865/10} 875}10] 885}10] 895} 9/64904)10/6491410/64924] 9] 3 3 446 164933}10/64943)10/64953}10|64963) 9/64972)10164982)10|64992}10/65002) 9/65011\10/65021}10] 4 4 447 |65031) 9/65040/10}65050)10|65060/10|65070} 9|/65079}10/65089]10| O99] 9} 108}10} 118|10) 5 5 448 128] 9} 137}10} 147|10) 157/10} 167) 9] 176}10/ 186/10} 196] 9} 205/10] 215}10) 6 5 449 225] 9| 234!10/ 244}10/ 254] 9} 2638}10) 273}10!) 283] 9} 292|10/ 302/10} 312) 9) 7 6 SSS — —| 8 iG 450 |65321)10/65331/}10/65341) 9/65350|10/65360] 9|65369]10/65379|10/65389] 9|65398]|10|65408}10} 9 8 | No.| 0 1 Pnmiees 4 5 6 7 8 9

Page 206] TABLE 32. Logarithms of Numbers.

No. 0 jd| 1 Id) 2 3 d| 7

450 |65321)10/65331/10)65341 10|/65389 451 418 10} 485 452 514 : 10} 581 453 610 10} 677 454 706 9} 772

455 801 868 456 896 65963 457 |65992 9) 9/66058 458 |66087 153 459 181 247

OONDOP Whe OOsta aie cw bore

460 | 276 342 461 370 436 462 | 464 530 463 | 558 624 464 | 652 717

465 745 466 839 467 |66932 468 |67025 469 117 470 | 210 471 302 472 | 394 473 |67486 474 578

475 669 476 761 ATT 852 478 |67943 479 168034 480 124 481 215 482 | 305 483 395 484 |68485

485 574 486 487 488 489

490 491 492 493 494

495 496 497 498 499

500 |69897 No. 0

811 904 66997 67089 182

274

lLowoowoe Sooo

= = oomooods

= oonoosd

wcoovo!l S0000

oO OO O | oOo wo

ay S

00 NTO) GT Ca Co bo Ft

wnooool ono =I = coved |lwoS000

oO OO ©

ononol sonoweo

OOOO O

wnowo sd CONDONE WH NAO WHNe

TABLE 32. [Page 207

Logarithms of Numbers.

500

4 |d| 5

69932] 8}69940 70018] 9|70027 105] 9} 114

9} 200

278] 8| 286

372

8 |d| 9 |d|Prop. Parts

69966] 9|69975 70053} 9/70062 140 148 226 234 312 321

398 406 70484) 8/70492 569 578 655 663 740 749

ooo o ©

COnNoOor Whe

825 834 910) 9/70919 70995} 8/71003 71079 088 164 172

248 257 332 341

416 425 500 508 584 592

667 675 750 759 834 842 917) 8|71925 971975 71999} 9/72008

8|72057 72082 090 165 247 329

COND OOP wh

ononnlonomos

Oooo OOo

516 517 518 519

| 520 521 522 523 524

| 525 526 527 528 529

| 530 531 532 533 534

coonnl wooo

oo 0 Oo O&O HO

CONDONE WNHrH NAOAPWNHhH

onww nw wo woo wwo

535 536 537 538 1 539

540 y 541 542 543 544

545 546 719 f 751 547 799 830 548 | 878 910 549 173957 73989] 3|73997

550 174036 74068] s|74076 1No.| 0 is A El 5

cm ow oO

mmmmnm!' mnmnwomwom

wom mw

CONDO ODE AO PON =

Page 208] TABLE 32. Logarithms of Numbers. ints] © lal a Val) @ leh S Jct d| 7 Jal 8 |al 9 lal Prop. Parts 550 |74036] 8|74044| s|74052| 8|74060) 8 8|74092) 7|74099 874107] 8 8 551 115] 8| 123)8) 131}8} 1389/8 8} 170) 8| 178) 8} 186] s;—— 552 194] 8} 202)8) 210) 8) 218)7 8} 249) 8| 257)8| 265) 8 1 1 553 273] 7| 280) 8) 288) 8! 296) 8 7| 327)\8| 335]8) 348]/8 2 3 554 351| 8} 359] 8} 367) 7) 374\8 8} 406} 8| 414) 7} 421)8 3 3 555 429] 8] 437|8| 445/38] 453] 8 3|74484| s|74499| s!74500| 7] 4 3 556 174507] 8|74515) 8|74523) 8|74531] s s| 562|8| 570\s| 578\ 8) 2 557 | 586|7| 593/s| 601/s| 609|'s s| 640|s| 648|s| 656] 7 6 5 558 | 663) 8| 671|8| 679|s| 687) 8 s| 718] s| 726|7| 733) 3) 2 6 559 741| 8| 749) 8) 757| 7| 764\8 8| 796] 7| 803) 8] 811]\8 9 c 560 819] 8} 827) 7| 834] 8! 842/8 8] 873] 8} 881)38] 889) 7 561 896] s| 904] 8) 912)8| 920)7 7|74950| 8|74958| 8|74966} 8 562 |74974| 7/74981] 8|74989| 8|74997| 8 8|75028] 7/75035| 8/75043) 8 563 175051) 8|75059| 7/75066) 8/75074! 8 8} 105] 8} 113} 7]. 120/8 564 128] 8} 136] 7} 143]8} 1151/8 8| 182! 7] 189])s} 197\8 565 205] 8] 213] 7) 220) 8] 228)8 8| 259] 7) 266) 8} 274/8 566 282) 7| 289) 8) 297) 8) 305] 7 7| 335) 8| 343) 8) 351] 7 567 358] 8| 366) 8! 374) 7} 3881/8 8} 412) 8! 420) 7} 427/8 568 435| 7| 442]8) 450} 8] 458] 7 7\75488] 8|75496| 8'75504| 7 569 175511) 875519} 7|75526] 8/75534| 8 8| 565] 7| 572)8| 580) 7 570 587| 8| 595} 8] 603} 7} 610) 8 8} 641/7| 648] 8] 656/8 } 57) 664| 7| 671) 8} 679] 7] 686|8 8| 717) 7| 724) 8! 732) 8 572 740] 7] 747|8| 755) 7| 762)8 8| 793] 7| 800)'s| 808} 7 | 573 815] 8} 823] 8! 8381]7]} 8388] 8 7| 868) 8} 876] 8} 884|7 574 891) 8} 899) 7) 906)8| 914] 7 7|75944| 8|75952| 7|75959| sI 575 |75967| 7|75974| 8|75982! 7/75989| 8 8!76020) 7/76027| 8|76035| 7 576 |76042) 8!76050] 7/76057] 8|76065| 7 8} 095} 8} 103) 7} 110) 8 577 118} 7} 125} 8] 183] 7) 140]8 7} 170} 8} 178] 7| 185]8 578 193] 7| 200) 8} 208] 7) 215) 8 7| 245) 8} 253] 7] 260] 8 579 268] 7| 275) 8] 2838] 7} 290) 8 7| 320) 8} 328) 7) 335)]8 580 | 343|7| 350] s| 358) 7| 365/s 7| 395] s| 403|7| 410/s 581 418] 7} 425|8| 4383) 7| 440/8 8/76470} 7|76477) 8|76485| 7 582 176492) 8|76500| 7|76507| 8/76515) 7 8| 545) 7| 552) 7) 559) 8 583 567| 7| 574] 8] 582] 7| 589] 8 7| 619] 7] 626) 8] 634] 7 584 641| 8} 649] 7| 656) 8} 664] 7 7| 693) 8| 701| 7) 708} 8 585 716] 7| 723) 7| 780} 8| 738] 7 s| 768] 7| 775) 7| 782) 8 586 790| 7| 797) 8! 805) 7] 812)7 s| 842] 7) 849] 7) 856/8 587 864| 7] 871) 8] 879} 7} 886] 7 8} 916} 7] 923) 7/76930] 8 588 176938] 7/76945) 8/76953) 7|76960| 7 7\76989| s|76997| 7/77004| 8 589 |77012)| 7/77019| 7/77026} 8|77034| 7 7|77063| 7/77070| 8} O78} 7 590 | 085|s| 093|7| 100/7| 107|8 ‘s| 137/7| 144/7| 151/38 : 591 159] 7} 166} 7} 173) 8) 181)7 7| 210) 7) 217) 8) 225) 7 7 592 232| 8] 240} 7) 247) 7} 254/8 7| 283) 8) 291) 7| 298) 7;——| 593 | 3805/8) 313) 7) 3820/7) 327/8 8} 357) 7| 3864/7] 371)s) 4] 4 594 379] 7| 386] 7; 393] 8} 401] 7 8| 430] 7} 437] 7/7444) 8} 95 1 595 177452! 7/77459| 7|/77466| 8177474) 7 8/77508]| 7/77510| 7} 517) 8 3 596 525] 7| 532] 7) 539] 7| 546] 8 8} 576} 7) 583} 7] 590) 7 5 4 597 597} 8} 605) 7} 612] 7| 619)8 7| 648) 8} ©656] 7} 663) 7] 6 4 598 670] 7| 677) 8} 685} 7] 692) 7 7| 721) 7| 728) 7| 735) 8} 7 5 599 743) 7] 750) 7) 757|7| 764! 8 7| 793) 8} 801) 7} 808) 7) 98 6 600 |77815| 7/77822}| 3|77830] 7/77837| 7 717866 7|77873) 7|77880} 7 S No.| 0 1 2 3 7 8 oma

TABLE 32.

Logarithms of Numbers.

600

No. 0 d| 5

600 177815 177851 601 | 887 602 |77960 | 603 |78032 604 | 104

605 176 606 | 247 607 608

| 609

/ 610 611 612 613 614

615 616 617 | 618 619

620 621 622 623 624

625 626 627 628 629

Qu a") 4 Sj is! a) o + a

Io Sees es ee [wer oo 1-1 ~3

ee |

ASSETS | le}

SIND I [os ee st ST Sa +

661 732 803 873

78944 79014 085 155 225

Eee ees Os | SIO NAIA sSNA oo ~a ~a ~1 ~1

ee es ae es See es aS et NNN ~I~a 1 wo 1

295 365 435 79505 574

644 713 782 851 920

79989 80058 127 195 264

332 400 468 80536] 7 604.

672 740 808 875 80943

81010

Soa | apenagayan

a4 SIN II aN sI st I +

7 7| 671 7) WA 7 7

810 879

7/79948 7/80017 085 154 223

Qon at aN SERACIENT|

630 |79934 631 180003 632 | 072 633 140 634 209

sass | a owas | aA Oo ae | aos a7 a

INIA MO NII

635 | 277 636 | 346 | 637 | 414 638 |80482 639 | 550

640 | 618 641 686 642 | 754 643 | 821 644] 889

645 |80956 646 |81023 647 090 648 158 649 224

650 /81291

291 359 428 80496 564

632 699 767 835 902

80969 81037

INN AAD SIN sy 1 1

sansa loaacana sass |

ONO IA NWO srs

7|80990 7/81057 7 124 7 «62191 7) 258

NNN OA OOBors Qayuaa

Wa Tae wa lee ee OONM OP WWE | OOP RWNNEE |]

81318] 7181325 4 5

66806°—38——14

Page 210] TABLE 32.

Logarithms of Numbers.

650

dj 5

d| Prop. Parts

Q a Qu

7181325 6| 391 458 525 591

657

650 {81291

Sait leas ION es ee aI ~1

eS eS sit 141

OWT ADOoOrPPWNHR

NIAID NNN A AII2D OWBNIMHPWNe

eausrarnralaaaa~a

NORUSD INNO SN OI QI1IAa 1

724 789 853 918

7/82982 683046 110 174 238

6 6 6 6| 302 7 6 6 6

soart322 |asas322

sonoo|]aasas]3

arorws|laaoon~

sowar3@ | awa).

anreaanlaoooan

eaoers82!lowass3S /

6 7 6 7 7 6 7 6 7 6 6 7 6 7 7 6 6 7 7 6

7/82950

AAAAD NINA

366 429 493 83556

620,

eanroow|] aaa s)38 ersroor!loaoarns

AIAN A®H IANA H

664

727

790

853

910} 6 916 83973} 6/83979 84036} 6/84042 098 105 161 167

223) 230 286 292 348 354 410) 417 473 479

84535) 6/84541

DXA ID

AaIra2aalaaanasoa eastaalaaana a2oeoo1!]l aaa 3.o stass0 |laaana a2ranalaaaan eanroonr!] aas3]3.a

AX2AAAWD

AXAANID NIAAAVWA

COHONMHAhwWhH 1 tS SSC ol | r)

alaanron lealaansraa lelaaana allaagas alasoaan | West esWosteallastes

700 {84510 No. 0 4 5

2) |x

TABLE 32.

Logarithms of Numbers

[Page 211

Gly al Nel) 2 Noll 3} I\el ci 3 |icl| YW |ich & lel d| Prop. Parts

6|84516} 6/84522) 6/84528) 7/84535 6|84547) 6184553) 6|84559| 7|84566 7

6| 578] 6} 584\ 6) 590) 7 6| 609] 6) 615} 6) 621) 7) 6 —

6| 640} 6) 646) 6} 652) 6 6| 671) 6| 677} 6) 683) 6 1

6| 702|6| 708|6| 714] 6 7| 733) 6| 739|6| 745| 6 5 ‘

6| 763] 7| 770) 6) 776) 6 6| 794) 6) 800} 7} 807) 6 3 2

6| 825] 6| 831l6| 837|7 6| 856|6| 862|6| 868|6 4) 3

7| 887|6| 893] 6| 899| 6 6| 917| 7] 924] 6| 930) 6 5| 4

6|84948| 6/4954] 6|84960] 7|84967 6|84979] 6|84985| 6|84991] 6 6; 4

6|85009| 7/85016} 6/85022) 6|85028 6|85040| 6/85046} 6/85052) 6 7 5

6| O71\6| O77|6| 083] 6 6 1101/6 107|7| 1114/6 . §

6| 1382)6) 138)6) 144) 6 7| 163) 6} 169) 6} 175)6

6| 193) 6} 199) 6) 205) 6 7| 224) 6) 230) 6) 236) 6

6| 254] 6} 260} 6] 266) 6 7] 285) 6| 291) 6) 297\6

6| 315) 6] 321}6| 327/\6 6| 345) 7| 35216) 358] 6

6| 376] 6) 3882] 6| 3888/6 6| 406] 6) 412) 6} 418) 7

6| 487|6| 443] 6| 449) 6 6| 467|6| 473] 6) 479) 6

6|85497] 6|/85503) 6|85509} 7 6|85528| 6|85534! 6/85540) 6

6| 558) 6] 564! 6} 570) 6 6| 588} 6} 594! 6} 600] 6

6| 618] 7} 625] 6) 631) 6 6| 649] 6] 655] 6} 661) 6

6| 679] 6] 685] 6) 691) 6 6| 709| 6) 715) 6} 721) 6

6| 739) 6) 745) 6} 751) 6 6| 769| 6) 775) 6} 781) 7 6

6| 800) 6} 806) 6) 812) 6 6| 830) 6] 836) 6} 842) 6 |

6| 860) 6} 866) 6) 872) 6 6| 890) 6) 896] 6} 902)\ 6 1 1

6| 920) 6) 926) 6| 9382! 6 6|85950) 6|85956] 6/85962) 6 9 1

6|85980| 6|85986] 6/85992| 6 6/86010} 6/86016} 6|86022| 6 3 3

6|86040] 6|86046) 6/86052| o 6| 070) 6| 076] 6| O082/ 6 ae

6} 100) 6) 106) 6) 112) 6 6| 1380) 6} 136) 5) 141])6 6 4

6| 159} 6) 165)6| 171\6 6| 189) 6} 195) 6) 201)6 7 4}

6| 219) 6) 225/6) 2381) 6 6| 249] 6) 255] 6} 261] 6 Sules

6| 279) 6} 285] 6) 291) 6 5| 308) 6} 3814/6) 3820/6 9 5

6| 338] 6) 344) 6} 350) 6 6| 368) 6] 3874/6) 380) 6

6| 398) 6) 404] 6} 410)5 6| 427| 6) 433] 6) 4389) 6

6|86457| 6/86463] 6/86469| 6 6|86487| 6|86493}) 6/86499] 5

6} 516} 6) 522)6| 528) 6 6| 546) 6) 552) 6) 558) 6

6| 576) 5| 581\6| 587) 6 6| 605] 6) 611) 6} 617\6

6| 635] 6} 641] 5| 646! 6 6| 664] 6| 670! 6} 676) 6

6| 694! 6) 700) 5| 705) 6 6| 723] 6| 729) 6| 735) 6

6| 753) 6| 759) 5| 764) 6 6| 782|6| 788] 6| 79416

6| 812|5| 817) 6) 823) 6 6| 841)6| 847) 6} 853) 6

6| 870} 6| 876)6| 882\6 6| 900) 6) 906) 5) 911) 6

6| 929) 6} 935)6| 941) 6 5|86958] 686964) 6/86970! 6 5

6|86988] 686994) 5/86999) 6 6|87017| 6|87023) 6|87029) 6 ar

6/87046| 6|87052) 6|/87058} 6 5| 075) 6) O81] 6) O87] 6 1 1

6} 105}6) 111) 5} 1116/6 6| 134) 6) 140)6| 146) 5 9 1

6} 163) 6) 169) 6} 175) 6 6| 192) 6; 198) 6 204) 6 3/ 2

5} 221) 6) 227) 6) 233] 6 6| 251|5| 256) 6) 262) 6 5 Z

6| 280] 6) 286) 5| 291) 6 6| 309} 6] 315] 5) 320) 6 6 3

6| 3838] 6| 344] 5) 349) 6 6| 367) 6} 373] 6) 379) 5 7 4

6} 396] 6) 402) 6) 408] 5 6| 425) 6) 4381) 6) 437] 5 8 4

6} 454! 6) 460) 6) 466] 5 6| 483] 6] 489] 6) 495] 5 9 5 87506) 6/87512) 6187518) 5/87523) 6 6187541! 6/87547) 5187552) 6 10 2

1 2 3 6 7 8

Page 212] TABLE 32. Logarithms of Numbers.

No (Qe Heol) Ik” cl) Pho Wel G3. Kel d| 6 |d| 7 |d| 8 |d| 9 |{d|Prop. Parts

750 187506} 687512] 6187518) 5|87523) 6|87529 6|87541| 6|87547| 5)87552! 6 6

751 564] 6) 570) 6! 576) 5) 581) 6 6| 599) 5} 604\ 6} 610) 6 —-

752 622] 6| 628] 5) 633) 6) - 639) 6 5| 656) 6) 662) 6) 668) 6 1 1

753 679] 6| 685] 6} -691| 6} 697) 6 6| 714\6| 720|\ 6) 726)5 2 1

754 737| 6| 743) 6) 749] 5) 754\-6 6| 772\5| 777\ 6) 783) 6 3 2 4 2

755 795| 5| 800} 6) 806) 6} 812) 6 6| 829) 6| 8385)6) 841]5 5 3

756 852] 6} 858] 6) 864] 5} 869) 6 6| 887] 5} 892] 6} 898) 6 6 4

757 910] 5| 915) 6) 921)6) 927\6 6|87944| 6|87950| 5|87955) 6 7 4

758 |87967| 6\87973| 5|87978) 6|/87984| 6 5|88001) 6|88007| 6/88013} 5 8 5

759 188024] 688030} 6|88036) 5/88041] 6 5} 058] 6| 064] 6) O70} 6 9 5

760 081| 6| O87) 6) 093} 5) O98} 6 6} 116) 5| 121)6) 127\6

761 138] 6] 144] 6} 150] 6} 156] 5 6| 173] 5| 178) 6) 184\6

762 195| 6| 201) 6) 207) 6) 213) 5 6| 230) 5} 2385) 6} 241) 6

763 252) 6| 258) 6] 264] 6) 270|5 6| 287] 5| 292) 6) 298) 6

764 309| 6| 315) 6) 321) 5) 326)6 5| 348] 6| 349) 6) 355) 5

765 366] 6| 372) 5) 377) 6) 383)6 5| 400] 6} 406) 6) 412)5

766 423] 6| 429] 5| 4384/6) 440) 6 6| 457|6| 463) 5} 468) 6

767 480] 5| 485] 6] 491) 6/88497] 5 5}88513] 6|88519) 6|88525) 5

768 |88536| 6|88542| 5/88547] 6} 553) 6 6| 570) 6| 576|)5| 58lle6

769 593] 5} 598] 6} 604] 6} 610] 5 6| 627] 5| 632) 6) 688] 5

770 649] 6| 655] 5) 660] 6) 666) 6 6| 683) 6| 689} 5) 694) 6

771 705| 6| 711) 6) 717) 5| 722)6 5| 739|6| 745) 5) 750] 6

M2. 762| 5| 767) 6| 773) 6) 779) 5 5} 795) 6| 801) 6) S807) 5

773 818] 6} 824! 5} 829} 6) 835] 5 6| 852) 5| 857) 6) 863) 5

774 874! 6| 880] 5} 885) 6) 891) 6 6| 908] 5| 913} 6) 919) 6

775 930] 6| 936) 5| 941) 6/88947| 6 6|88964| 5|/88969) 688975) 6

776 |88986| 6/88992| 5/88997| 6/89003) 6 6|89020] 5|/89025] 6/89031) 6

777 |89042} 6|89048| 5|89053] 6} 059] 5 6| O76] 5| O81] 6) O87) 5

778 098] 6| 104] 5} 109) 6) 115)5 5} 131} 6| 137)6) 143) 5

779 154] 5) 159} 6} 165] 5) 170)6 5} 187) 6) 193) 5) 198] 6

780 209| 6| 215} 6) 221) 5| 226)6 6| 243] 5| 248) 6} 254] 6

781 265| 6] 271) 5) 276) 6) 282) 5 5| 298) 6] 304! 6) 310) 5

782 321] 5] 326)6| 332! 5} 337) 6 6| 354|/6| 360} 5} 365) 6

783 376] 6| 382] 5) 387) 6) 393] 5 5} 409] 6| 415) 6) 421] 5

784 432|5| 437) 6| 448] 5} 448] 6 6|89465) 5|89470} 6|/89476) 5

785 189487] 5|89492) 6/89498) 6|/89504| 5 5| 520) 6| 526) 5) 531}6| 5387) 5

786 542|6| 548] 5| 553} 6| 559) 5 5| 575] 6) 581) 5) 586] 6} 592) 5

787 597| 6| 603] 6} 609] 5) 614) 6 6| 631] 5| 6386] 6) 642) 5| 647) 6

788 653] 5| 658} 6| 664] 5) 669] 6 6| 686] 5| 691] 6) 697] 5} 702|6

789 708] 5| 713] 6) 719) 5| 724) 6 6| 741) 5| 746)6) 752) 5| 757\6

790 763| 5| 768] 6| 774|5| 779/16 6| 796) 5} 801} 6) S807) 5| 812)6

791 818] 5] 823] 6! 829) 5| 8384/6 6| 851] 5| 856) 6) 862) 5} 867\6 5

792 873] 5| 878] 5} 883] 6] 889] 5 5| 905] 6) 911] 5) 916) 6) 922) 5-——|_—

793 927] 6| 933] 5) 938) 6) 944] 5 5|89960| 6|/89966] 5|89971)| 6/89977| 5) 1 1

794 189982) 6|89988] 5/89993] 5/89998] 6 6/90015} 5/90020} 6|90026) 5}90031) 6} 2 1 3 2

795 |90037]| 5|90042) 6/90048| 5|/90053) 6 5| 069] 6) 075} 5} O80] 6) O86) 5] 4 2

796 091] 6) O97) 5| 102)6} 108) 5 5| 124) 5) 129)6} 1385]5) 140) 6] 5 3

797 146] 5| 151)6) 157) 5} 1162/6 6| 179) 5| 18415) 189] 6} 195)5| 6 3

798 200] 6} 206) 5} 211) 6) 217)5 6| 233] 5) 238} 6| 244) 5) 249) 6) 7 4

799 255] 5| 260) 6) 266} 5} 271) 5 5| 287] 6] 293] 5| 298) 6] 304! 5 3 4

- — 5 800 190309} 5|90314| 6)90320} 5|90325) 6 6|90342| 5/90347| 5/90352) 6/90358) 5} 10 5 No 0 1 2 3 6 7 8 9

TABLE 32.

Logarithms of Numbers.

6 |d) 7

90342) 5|90347 396 401 450 455 504 509 558 563

612 617 90666) 5}90671 720 725 773 779 827 832

881 886 934 940 90988) 5}90993 91041} 5/91046 094 100

148 153 201 254 307 91360

413

No. 0

800 |90309 801 363 802 | 417 } 803 | 472 804} 526

805 | 580 806 |90634 807 | 687 808 | 741 809 795

810 | ° 849 811} 902 812 |90956 | 813 |91009 814] 062

815 |. 116 816 169 817 | 222 818 | 275 819 |91328 820 | 381 821 434 822 | 487 823 | 540 824 593

825 191645 826 698

| 827 751 828 803 829

830 831 832 833 834

835

836 | 221 837 | 273 838 | 324 839 | 376

840 | 428 841 |92480 842 | 531 843 | 583 844 634

845 | 686 846 | 737 847 | 788 848 | 3840 849 | 891

850 92942 92957 No.| 0 3 7 8

Q Q Qu

ANABAAG Anan AARAG ananae| & DAARAG anaae!l] @&

OONOOURWHH |

ADBAaAn anoan

anaoalananaan ananalanaae annaalaaaaa aoagnalananaa

Qaaa»nn aannran

AAnaana AAnnn Onan R ARAAaN aanna»an

aooanalananaaga eaaannaalananaa 1

aanann ann an ARMaAaan Annan aaan»nn

Aanan ana nan CO oan Angaan

anoannlaanaana anaoalaanaana anaaglanaaa anaagalaaanana

annann aanna anann aaqanan

An2a2aa»an aQAaannan

ananannlaaaaad ansoaalanaag anaanalaanaaa anaag laanaa ananaoalaaaaa eanoaalaaagaa

anon oH

752 804 855 906

OOP POON Dee |] OF

lLalaaaaa lLaleaaana

92978] 5/92983]) 5

Lalaaaaa lLalaaaaa [RowlRoteuemoner

Page 214] TABLE 32. Logarithms of Numbers.

850

4 \d| 5 d| Prop. Parts

No. 1 id 2

850 92947) 5|92952 851 92998) 5/93003 852 93049 054 853 100 105 854 151 156

855 202 207 856 252) 6 857 303 858 93354 859 404

860 455 861 500 505 862 | 551 556 863 | 601 606 864 |93651) 5/93656

865 | 702 707 866 | 752 867 | 802 868 | 852 869 | 902 870 |93952 871 |94002 872 | 052 873 101 874 151

875 | 201 876 | 250 877 | 300 878 | 349 879 | 399

880 194448

92962| 5)92967 93013} 593018 064 069 115 120 166 171

217 222 268 93318 369 420

470

anna n

OONOOF WHE | OOP POD hee | a>

anaaalaaaan

ou or or or or

5/93967 594017 5} 067 5| 116 5} 166

216 265 315 364 414

94463 512 562 611 660

709

5]93977| 5/93982 5}94027) 5/94032 5} O77) 5| O82 5} 126) 5] 1381 5} 176) 5] 181

226 231 275 280 325 330 374 379 424 429

94473] 594478

anagcalanconag “ Genewsione| Or

aanaaalaaanaa

aananan ann on

ann an AOnnnn oo se or or

SCOMNOMPWNHHE

ananaalanaan aonranlaananaan

Gul onlcnlotloull llenlolenlonmer anaaalaanaoas

aanaan anaa»nn ann ano

aAanaann aon oo anon n ann oo Boo or or aor oaan anna n

anna ao anaann aAnaann an kon anno

255 303 352 400

aann es

RiP WWNNNREO | ~~

a SCOMNOD OP Wh

[WenlllMewinlenou ox alaaaana plaaaaa

4195448 5

TABLE 382. [Page 215 Logarithms of Numbers.

No.| o lal 1 Jal 2 Jal 3 ‘lal 4 lal 5 lal 6 Jal 7 Jal 8 Jal 9° |alerop. Parts

900 [95424] 5\95429] 5|95434| 5/95439] 0/9544] «195448) 5/95453| 5195458) c\95463] 5195468) 4 5

901 | 472|5| 477| 5 482) 5 487| 5] 492|s! 497/41 501] 5| 506\5| 511\ 5) 516] 5| |__|

902 | 521) 4) 525) 5] 5380/5 535] 5] 540/5] 545/56] 550] 4) 55415] 559/65] 564/ 5

903 | 569] 5) 574) 4) 578) 5] 583] 5] 588)5] 593/56] 598] 4) 602| 5 607|5| 612\5) 1| 2

904} 617] 5| 622|/4| 626] 5 631/5| 636]5| 641|5| 646] 4) 6505] 655|5| 660| 5 5 :

905 | 665] 5|95670| 4195674] 5|95679] 5/95684| 5195689] 5|95694| 4/95698| 5|95703| s\95708) 5] 4 | 2

906 195713] 5| 718) 4 722/56) 727| 5] 732|6| 737/5| 74214| 746] 5 751/5| 756\5) 2| 3

907 | 761] 5| 766|4| 770|5| 775|5| 780|5| 785|4| 789|5| 794/56! 799] 5 so4/s] &| 3

908 | 809] 4] 813] 5] 818] 5] 823] 5} 828]4! 832]5| 837] 5| 842] 5 847|/ 5 ssal4| 7] 4

909 856] 5] 861] 5} 866) 5) 871! 4| 875) 5) 880) 5) 885) 5) 890] 5} 895] 4) 899] 5 8 .

910 | 904] 5| 909] s| 914) 4| 918] s| 923/56] 92815! 933) 5] 93sl4| 9492/5] 947| 5] 10| 5

911 | 952] 5/95957| 4195961] 5|95966] 5|95971| 5195976] 4195980] 5|95985] 5/95990| 5|95995) 4

912 |95999] 5|96004| 5|96009] 5|96014} 5|96019] 4196023] 5|96028] 5|96033| 5|96038) 41960421 5

913 |96047| 5} 052] 5} 057) 4) O61) 5) O66) 5} O71) 5] 076) 4} O80] 5} O85] 5) O90! 5

914 | 095] 4| 099] 5| 104] 5) 109|/ 5 114] 4] 1138/5] 123/5] 128/65] 133] 4| 137|5

915 | 142] 5| 147| 5] 152) 4) 156/5] 161/5] 166/5| 171] 4| 175!5| 180] 5] 185] 5

916 | 190] 4| 194] 5] 199] 5] 204|5| 209|4} 213/65] 218] 5| 223] 4| 227|5| 232] 5

917 237| 5| 242) 4) 246) 5) 251) 5) 256)5) 261) 4) 265] 5) 270) 5) 275) 5) 280) 4

918 | 284] 5| 289] 5] 294) 4) 298] 5! 303]5] 308/56] 313] 4| 317] 5| 32215) 3927/5

919 | 332] 4/96336| 5|96341| 5|96346] 4196350] 5196355] 5196360] 5/96365| 4|96369]| 5|96374] 5

920 |96379] 5| 384) 4| 388] 5 393] 5] 3938/4) 40215] 407/5| 412] 5| 417| 4) 421|5

921 | 426]5| 431) 4| 435] 5 440) 5] 445)5] 450] 4] 454/5| 459]5| 464] 4) 468) 5

922 | 473] 5| 478] 5 483] 4| 487] 5 492] 5] 497/4| 501/15] 506/5| 511] 4| 515] 5

923 | 520] 5| 525] 5) 530] 4) 5384/5] 539)5] 544] 4] 548l6| 553! 5] 558] 4] 562) 5

924 | 567/5| 572] 5) 577) 4 581/56 586)5) 591] 4! 595151 600] 5| 605] 4| 609) 5

925 | 614] 5| 619] 5| 624) 4196628] 5196633] 5196638] 4196642] 5196647] 5|96652| 4/96656] 5

926 |96661| 5/96666| 4|96670| 5| 675| 5] 680|5] 685] 4} 689]5| 694/5| 699] 4| 703] 5

927 708] 5} 713) 4) 717) 5) 722) 5| 727) 4) 731) 5| 736) 5) 741) 4) 745) 5! 750! 5

928 | 755] 4| 759] 5| 764) 5| 769|5| 774|4] 778ls| 783]5| 788|4| 79215] 797|5

929 802) 4| 806} 5) 811) 5) 816) 4) 820] 5) 825) 5} 830) 4) 834] 5) 839) 5) 844] 4

930 | 848) 5| 853] 6 858] 4| 862|5| s67|5| 872|4| 876s] 88ils| ss6l4| 890] 5

931 | 895] 5| 900| 4| 904] 5] 909]5| 914] 4! 918] 6] 923] 5] 928) 4] 932] 5] 937]|5

932 | 942] 4| 946] 5| 951] 5196956] 4196960] 5196965] 5|/96970| 4|96974| 5|96979| 5|96984| 4

933 |96988| 5|96993| 4196997] 5|97002] 5197007] 4197011] 5|97016| 5|97021| 4|97025] 5|97030) 5

934 |97035| 4197039] 5/97044| 5} 049) 4 053] 5} O58] 5} 063] 41 O67} 5} O72) 5) O77) 4

935 | 081] 5| 086] 4| 090] 5} 095] 5| 100}4| 104] 5] 1095] 114] 4] 1138/5] 1283/5

936 | 128] 4| 132| 5 137|5| 142/4| 146]5] 151]4| 155|5| 160| 5 165|4| 169|5

937 | 174|5| 179|4| 183) 5] 188] 4] 192/5! 197]/5| 202]4| 206] 5| 211] 5] 216) 4

938 | 220] 5) 225! 5} 2304) 234]5| 239] 4! 243] 5 248) 5] 2538/4] 257/5| 262] 5

939 | 267] 4| 271|5| 276) 4| 280) 5| 285] 5] 290] 4! 29415] 299] 5] 304] 4| 308) 5

940 | 313) 4| 317] 5| 322] 5) 327/41 331/5] 336/ 4) 340ls| 345/56] 350] 4) 354] 5 4

941 | 359] 5| 364) 4| 368] 5] 373/4| 377] 5] 38215 387) 4 391] 5] 396] 4! 400| 5s;|_—

942 |97405] 5|97410] 4|97414] 5|97419] 597424] 4|97428) 5|97433] 4|97437| 597442] 597447| 41 1 | o

943 | 451] 5) 456) 4) 460) 5) 465) 5) 470)4) 474) 5} 479) 4) 483) 5) 488) 5) 493) 4 9] 4

944 | 497| 5] 502) 4) 506] 5} 511) 5] 516] 4! 520) 5] 525|4| 529|5| 534] 5] 539/4] 3] 4 1945 | 543] 5] 548) 4| 552|5| 557|/5| 562] 4) 566/5| 571/ 4) 575|5| 580] s| 585| 4 i B

946 | 589|5| 594| 4| 598|5| 603] 4] 607] 5] 612|5| 6174] 621] s| 626/ 4) 6305] g| 9 1 947 635] 5) 640] 4] 644] 5} 649] 4| 653] 5) 658] 5] 663) 4| 667] 5| 672) 4| 676) 5 7 3

948 | 681) 4| 685! 5| 690| 5| 695] 4| 699] 5] 704] 4| 708] s| 713/4| 717/34) 722/5] g| 3 |

949 | 727| 4| 731|5| 736|4| 740| 5] 745] 4! 749] s| 754] 759] 4) 763] 5|97768| 41 9 | 4

950 (97772 5197777] 61977821 497786] 597791] 4197795] 5197800] 497804] s|97809] 4197813] «| 1° | 4

Nel! “o Ten (al es 3 || 4 5 6 7 8 9

Page 216] TABLE 32.

Logarithms of Numbers.

Qa Q Qu

oko wooo ako

COR BWW Nee

pee ekoo |] eran (GIG Ss lors Garmes Gs aepagnlaraae

PP eR oo oon ok

Be Or Or OF

4 4 4 4 5 5 4 4 5 4

CHIN LoTINE I IRUINTodlon or ara pee lanpr aA

ar eo

ook oe

Raoaee |aroeonr

eo oe

392 436 480 524

568 612 99656 699 743

787 830 852 874 896 917 939 99961 99983

Pe eS ess

ee oon e oP PR Oo ee oo

lpm ma

COMDNOOP Whe

Leis Gree es Seas &

00004 00026

1 6

TABLE 33. [Page 217

Logarithms of Trigonometric Functions.

° f ° 0 > sin lpg 4 csc tan lose cot sec cos «179 / {/ 0 | Inf. neg. Infinite. | Inf. neg. Infinite. | 10.00000 | 10.00000 | 60 1 | 6.46373 | 30103 | 13. 53627 | 6.46373 | 30103 | 13. 53627 000 000 59 2 76476 | 17609 23524 76476 | 17609 23524 000 000 58 3 | 6.94085 | 12494 | 13.05915 | 6.94085 | 12494 | 13.05915 000 000 57 4 | 7.06579 9691 | 12. 93421 | 7.06579 9691 | 12. 93421 000 000 56 | 5 16270 7918 83730 . 16270 7918 83730 000 000 55 6 24188 6694. 75812 24188 6694 75812 000 000 54 | 7 30882 5800 69118 30882 5800 69118 000 000 53 | 8 36682 5115 63318 36682 5115 63318 000 000 52 9 41797 4576 58203 41797 4576 58203 000 000 51 10 | 7. 46373 4139 | 12. 53627 | 7. 46373 4139 | 12. 53627 | 10. 00000 | 10. 00000 50 11 50512 3779 49488 50512 3779 49488 000 000 49 12 54291 | 3476 45709 54291 | 3476 45709 000 000} 48 13 57767 3218 42233 57767 3219 42233 000 000 47 | 14 60985 2997 39015 60986 2996 39014 000 000 46 15 | 7. 638982 2802 | 12. 36018 | 7. 63982 2803 | 12. 36018 000 000 45 16 66784 | 2633 33216 66785 | 2633 33215 000 | 10.90000 | 44 17 69417 2483 30583 69418 2482 30582 001 9. 99999 43 18 71900 | 2348 28100 71900 | 2348 28100 001 999 | 42 19 74248 2227 25752 74248 2228 25752 001 999 41 20 | 7. 76475 2119 | 12. 23525 | 7. 76476 2119 | 12. 23524 | 10. 00001 9. 99999 40 21 78594 | 2021 21406 78595 | 2020 21405 001 999 | 39 22 80615 | 1930 19385 80615 | 1931 19385 001 999 | 38 23 82545 1848 17455 82546 1848 17454 001 999 37 24 84393 1773 15607 84394 1773 15606 001 999 36 | 25 | 7. 86166 1704 | 12. 13834 | 7. 86167 1704 | 12. 13833 001 999 35 26 87870 1639 12130 87871 1639 12129 001 999 34 27 | 7.89509 | 1579 10491 89510 | 1579 10490 001 999 | 33 28 91088 1524 08912 91089 1524 08911 001 999 32 29 92612 | 1472 07388 92613 | 1473 07387 002 998 | 31 30 | 7. 94084 1424 | 12. 05916 | 7. 94086 1424 | 12. 05914 | 10. 00002 9. 99998 30 31 95508 | 1379 04492 95510 | 1379 04490 002 998 | 29 32 96887 | 1336 03113 96889 | 1336 03111 002 998 | 28 33 98223 | 1297 01777 98225 | 1297 01775 002 998 | 27 34 | 7.99520 1259 | 12.00480 | 7. 99522 1259 | 12. 00478 002 998 26 35 | 8.00779 1223 | 11.99221 | 8.00781 1223 | 11. 99219 002 998 25 36 | 02002) 1190 97998 02004 | 1190 97996 002 998 | 24 37 03192 | 1158 96808 03194 | 1159 96806 003 997 | 23 38 04350 | 1128 95650 04353 | 1128 95647 003 997 | 22 39 05478 1100 94522 05481 1100 94519 003 997 21 40 | 8. 06578 1072 | 11. 93422 | 8. 06581 1072 | 11. 93419 | 10. 00003 9. 99997 20 4l 07650 | 1046 92350 07653 | 1047 92347 003 997 | 19 42 08696 1022 91304 08700 1022 91300 003 997 18 43 09718 999 90282 09722 998 90278 003 997 | 17 44 10717 976 89283 10720 976 89280 004 996 | 16 45 | 8. 11693 954 | 11. 88307 | 8. 11696 955 | 11. 88304 004 996 | 15 46 12647 934 87353 12651 934 87349 004 996 | 14 47 13581 914 86419 13585 915 86415 004 996 | 13 48 14495 896 85505 14500 895 85500 004 996 | 12 49 15391 877 84609 15395 878 84605 004 996 11 50 | 8. 16268 860 | 11. 83732 | 8. 16273 860 | 11. 83727 | 10. 00005 9. 99995 10 51 17128 843 82872 17133 843 82867 005 995 9 52 17971 827 82029 17976 828 82024 005 995 8 53 18798 812 81202 18804 812 81196 005 995 7 54 19610 797 80390 19616 797 80384 005 995 6 55 | 8. 20407 782 | 11. 79593 | 8. 20413 782 | 11. 79587 006 994 5 56 21189 769 78811 21195 769 78805 006 994 4 57 21958 755 78042 21964 756 78036 006 994 3 58 22713 743 77287 22720 742 77280 006 994 2 5 23456 730 76544 23462 730 76538 006 994 1 60 | 8. 24186 717 | 11. 75814 | 8.24192 718 | 11. 75808 | 10. 00007 9. 99993 0

eae | Pe ee | ee Se ee a ee

~ ~

; : + 90° cos “""l gee cot ; i tan esc sin <89°

Page 218] TABLE 33. Logarithms of Trigonometrice Functions. 1°> sin csc tan cot sec cos <178° v Diff. 1’ Diff. 1’ V 7 7 0 | 8.24186 717 | 11. 75814 | 8. 24192 718 | 11. 75808 | 10.00007 | 9.99993 | 60 1 4903 706 5097 4910 706 5090 007 993 | 59 2 5609 695 4391 5616 696 4384 007 993 | 58 3 6304 684 3696 6312 684 3688 007 993 | 57 4 6988 673 3012 6996 673 3004 008 992 | 56 5 7661 663 2339 7669 663 2331 008 992 | 55 6 8324 653 1676 8332 654 1668 008 992 | 54 7 8977 644 1023 8986 643 1014 008 992 | 53 8 . 29621 634 | 11. 70379 . 29629 634 | 11. 70371 008 992 | 52 9 - 80255 624 | 11. 69745 . 30263 625 | 11. 69737 009 991} 51 10 0879 616 9121 0888 617 9112 | 10. 00009 9.99991 |} 50 11 1495 608 8505 1505 607 8495 009 991 | 49 12 2103 599 7897 2112 599 7888 010 990 | 48 13 2702 590 7298 2711 591 7289 010 990 | 47 14 3292 583 6708 3302 584 6698 010 990 | 46 15 3875 575 6125 . 83886 575 | 11. 66114 010 990 | 45 16 4450 568 5550 4461 568 5539 oll 989 | 44 17 | 8. 35018 560. | 11. 64982 5029 561 4971 O11 989 | 43 18 5578 553 4422 5590 553 4410 O11 989 | 42 19 6131 547 3869 6143 546 3857 O11 989 | 41 20 6678 539 3322 . 30689 540 | 11. 63311 | 10. 00012 9.99988 | 40 21 7217 533 2783 7229 533 200 |= O12 988 | 39 22 7750 526 2250 7762 527 2238 012 988 | 38 23 8276 520 1724 8289 520 1711 013 987 | 37 24 8796 514 1204 8809 514 1191 013 987 | 36 25 9310 508 0690 9323 509 0677 013 987 | 35 26 8. 39818 502 | 11. 60182 - 39832 502 | 11. 60168 014 986 | 34 27 | 8.40320 496 | 11. 59680 - 40334 496 | 11. 59666 014 986 | 33 28 0816 491 9184 0830 491 9170 014 986 | 32 29 1307_ 485 8693 1321 486 8679 015 985 | 31 30 1792 480 8208 1807 480 8193 | 10. 00015 9.99985 | 30 31 2272 AT4 7728 2287 475 7713 015 985 | 29 32 2746 470 7254 2762 470 7238 016 984 | 28 33 3216 464 6784 3232 464 6768 016 984 | 27 34 . 438680 459 | 11. 56320 43696 460 | 11. 56304 016 984 | 26 35 4139 455 5861 4156 455 5844 . 017 983 | 25 36 4594 450 5406 4611 450 5389 017 983 | 24 37 5044 445 4956 5061 446 4939 017 983 | 23 38 5489 441 4511 5507 441 4493 018 982 | 22 39 5930 436 4070 5948 437 4052 018 982 | 21 40 6366 433 3634 6385 432 3615 | 10. 00018 9. 99982 | 20 41 8. 46799 427 | 11. 53201 6817 428 3183 019 981 19 42 7226 424 2774 47245 424 | 11. 52755 019 981 | 18 43 7650 419 2350 7669 420 2331 019 981 17 44 8069 416 1931 8089 416 1911 020 980 | 16 45 8485 411 1515 8505 412 1495 020 980 | 15 46 8896 408 1104 8917 408 1083 021 979 | 14 47 9304 404 0696 9325 404 0675 021 979 | 13 48. | 8. 49708 400 | 11. 50292 49729 401 | 11. 50

Record · ID 646039
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