LIBRARY
OF THE
UNIVERSITY OF CALIFORNIA.
Deceived V JAN 11 1 393 ..... 189
^Accessions No. 4-QQ5"3 . Class No,
JOHN WILEY & SONS,
53 E. Tenth Street, New York,
PUBLISH :
THE RAILROAD SPIRAL.
The Theory of the Compound Transition Curve reduced
to Practical Formulas and Rules for Application in Field
Work, with Complete Tables of Deflections and Ordinates
for five hundred Spirals. By Wm. H. Searles, C.E., author
of "Field Engineering," Member of Am. Soc. of C. E.
Pocket-book form $1 50
" It should have a place in the library of every Civil Engineer
in the world."— Rnil wan -*•(/?••
FIELD ENGINEERING.
A HAND-BOOK of the Theory and Practice of RAIL-
WAY SURVEYING, LOCATION and CONSTRUCTION, de-
signed for CLASS-ROOM, FIELD, and OFFICE USE,
and containing a large number of Useful Tables, Original
and Selected. By Wm. H. Searles, C.E., late Prof, of
Geodesy at Rensselasr Polytechnic Inst., Troy. This vol-
ume contains many short and unique methods of Laying
Out, Locating, and Constructing Compound Curves, Side
Tracks, and Railroad Lines generally. It is also intended
as a text-book for Scientific Schools. Pocket-book form.
Ninth edition, 1890 12mo, morocco, 3 00
"The book is admirable. The internal arrangements and ap-
pearance are excellent. It is an easy work to refer to, and is
plain and clear. There is no useless lumber in it. Every sen-
tence belongs there."— PROF. DAVIS, University of Michigan.
l-tlE CIVIL ENGINEER'S FIELD-BOOK.
Designed for the use of the LOCATING ENGINEER.
Containing Tables of Actual Tangents and Arcs, ex-
pressed in chords of 600 feet for every minute of inter-
section, from 0° to 90°, from a 1° curve to a 10° curve in-
clusive. Also, Tables of Formulae applicable to Railroad
Curves and the location of Frogs, together with Radii,
Long Chords, Grades, Tangents, Natural Sines, Natural
Versed Sines, Natural External Secants, etc. With Ex-
planatory Problems. By Edward Butts, C.E. 12mo,
morocco flaps, 2 50
" The work is a monument of patience on the part of the au-
thor, and should prove a labor saving investment to the pur-
chaser. It is a ' Henck ' elaborated, and this is quite recommend-
ation enough— to the practising engineer."— Engineering News.
TREATISE ON LEVELLING BY VERTICAL AN-
GLES,
And the Method of Measuring Distances by Telescope
and Rod. With Tables of Heights for all angles, from
zero to 22i^ degrees (in minutes), for any distance re-
quired. By August Faul, C.E. . . . 8vo, limp cloth, 1 00
TABLES FOR CALCULATING THE CUBIC CON-
TENTS OF EXCAVATIONS AND EMBANK-
MENTS BY AN IMPROVED METHOD OF
DIAGONALS AND SIDE TRIANGLES.
By J. R. Hudson. New edition, with additional tables,
8vo, cloth, 1 00
"Hudson's Tables for Computing Earthwork are well known
to Engineers, and by many are considered indispensable."
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CIVIL ENGINEER'S POCKET-BOOK
Of Mensuration, Trigonometry, Surveying, Hydraulics,
Hydrostatics, Instruments and their adjustments,
Strength of Materials, Masonry, Principles of Wooden
and Iron Roof and Bridge Trusses, Stone Bridges and
Culverts, Trestles, Pillars, Suspension Bridges, Dams,
Railroads, Turnouts, Turning Platforms, Water Stations,
Cost of Earthwork, Foundations, Retaining Walls, etc.
In addition to which the elucidation of certain important
Principles of Construction is made in a more simple man-
ner than heretofore. By J. C. Trautwine, C.E. 12mo,
morocco flaps, gilt edges. 32d thousand, revised and
enlarged, with new illustrations, by J. C. Trautwine, Jr.,
C. E. 1889 $5 00
"It is the best Civil Engineer's Pocket book in existence."
— American Engineer.
A METHOD OF CALCULATING THE CUBIC CON-
TENTS OF EXCAVATIONS AND EMBANK-
MENTS BY THE AID OF DIAGRAMS,
Together with Directions for Estimating the Cost of
Earthwork. By John C. Trautwine, C.E. Ninth edition,
revised and enlarged by J. C. Trautwine, Jr. 8vo, cloth, 2 00
THE FIELD PKACTICE OF LAYING OUT CIR-
CULAR CURVES FOR RAILROADS.
By J. C. Trautwine, Civil Engineer. 12th edition, re-
vised by J. C. Trautwine, Jr. . . 12mo, limp morocco, 2 50
" Probably the most complete and perfect treatise on the
single subject of Railroad Curves that is published in the
English language."— Engineering News.
THE ECONOMIC THEORY OF THE LOCATION
OF RAILWAYS.
An Analysis of the Conditions controlling the laying out
of Railways to effect the most judicious expenditure of
capital. By Arthur M. Wellington, Chief Engineer of the
Vera Cruz and Mexico Railway, etc. New and improved
edition 8vo, 5 00
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fession; more particularly to Engineers, Managers, and Superin- '
tendents, by bringing together in a single volume such a mass
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A TREATISE UPON CABLE OR ROPE TRACTION.
As applied to the working of STREET and other RAIL-
WAYS. (Revised and enlarged from Engineering.) By
J. Bucknall Smith, C.E. With illustrations and folding
plates . 4to, cloth, 250
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timely. The subject is ably handled by an experienced
Engineer." — American Machinist.
A TREATISE ON CIVIL ENGINEERING.
By O. H. Mahan. Revised and edited, with additions
and new plates, by Prof. De Volson Wood. With an
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ter on River Improvements by F. A. Mahan. 8vo, cloth, 5 00
"This is the standard text-book on this subject."
RAILROAD ENGINEERS' FIELD-BOOK AND EX-
PLORERS' GUIDE.
Especially adapted to the use of Railroad Engineers, on
LOCATION and CONSTRUCTION, and to the Needs
of the Explorer in making EXPLORATORY SUR-
VEYS. By H. C. Goodwin 12mo, morocco flap, 2 50
THE
CIVIL ENGINEER'S
FIELD-BOOK:
DESIGNED FOR THE USE OP THE
LOCATING ENGINEER.
CONTAINING
TABLES OF ACTUAL TANGENTS, AND ARCS EXPRESSED IN
CHORDS OF 100 FEET FOR EVERY MINUTE OF INTER-
SECTION, FROM 0° TO 90°, FROM A 1° CURVE
TO A 10° CURVE, INCLUSIVE;
ALSO
TABLES OF FORMULAE APPLICABLE TO RAILROAD CURVES
AND THE LOCATION OF FROGS;
TOGETHER WITH
RADII, LONG CHORDS, GRADES, NATURAL TANGENTS, NATURAL SINES,
NATURAL VERSED SINES, NATURAL EXTERNAL SECANTS, ETC.
BY
EDWAED BUTTS,
CIVIL ENGINEER.
SECOND AND REVISED EDITION.
NEW YORK:
WILEY AND SONS,
TENTH STREET
.oor west of Broadway.
Copyright, 1886,
By JOHN WILEY & SONS.
PREFACE.
IN preparing this book it lias been the author's design to
present a volume based on the most economic principles of
field engineering.
Many good books of the kind are in print, yet none of them,
it is believed, have presented the subject to the full extent of
a labor-saving medium.
Considerable time is spent in making mathematical field-
calculations, thereby delaying the party and increasing the
expense of the survey. To eliminate many of the errors that
occur in, these calculations, and advance the progress of field-
operations, extensive, hitherto unpublished, tables have been
added to this work, and others previously published have
been enlarged to prevent the field-work extending beyond
their bounds. The formulae are comparatively arranged in a
more systematic manner.
The work of computing the tables has been thoroughly
done, and it is believed will be found strictly reliable.
An effort has been made to make the problems general, and
therefore applicable to any case that may arise in a long
practice. Throughout the work each problem is arranged
with reference to the last preceding figure.
Should this volume prove itself an assistant to the field-
engineer, and fill the space for which it is designed, the
author's wish will be fully realized. E. B.
KANSAS CITY, Mo., August, 1885.
TJHIVBBSITY
CIVIL ENGINEER'S FIELD-BOOK.
CURVE FORMULAE AND PROBLEMS.
\
ABBREVIATIONS.
T = Tangent, BA or BO.
R = Radius, AD or CD.
J— Intersection, angle FBCor EBA.
D = Deflection, angle for 100 ft. chords, BAa or BCe.
d = Sub-deflection, angle for any chord less than 100 ft.,
B Af or BCg.
E = External Secant, Be.
M= Middle Ordinate, Jc>.
C — Chord, or Long Chord, any chord of 100 ft. or more,
Aa or A G.
c — Sub-chord, any chord less than 100 ft., AforgC.
A = Arc, the length of the curve in chords of 100 ft., AabcdeC.
CIVIL ENGINEER'S FIELD-BOOK.
TABLE I.
TO FIND THE TANGENT.
GIVEN.
FORMULA.
GIVEN.
FORMULA.
R, I
T
T
T
— R tan A7
(7,7
BJ, AD, AJ
T
T
T
C
50 tan |7
2 cos \I
,, tan II
sin D
= E cot II
vers £7
BJX AD
AJ
TABLE II.
TO FIND THE RADIUS.
GIVEN.
FORMULA.
GIVEN.
FORMULA.
T,I
D
R
R
R
T cot £7
C, 7
J7, 7
AJ, AB, BJ
R
R
R
C
50
2 sin £7
M
sin D
E
vers ^7
A J X AB
exsec £7
BJ
TABLE III.
TO FIND THE DEFLECTION.
GIVEN.
FORMULA.
GIVEN.
FORMULA.
GIVEN.
FORMULA.
R
*">=*!
r, /
50 tan */
A, I
\I
sin D — y
A
TABLE IV.
TO FIND THE EXTERNAL SECANT.
GIVEN.
FORMULA.
GIVEN.
FORMULAE.
R I
E — R exsec -^-7
C I
^_ ^exsecU
T I
E — T tan 17
7^Sln U^
jz M
cos ^ 7
E ^^
'
• cos £7
'
CUKYE FORMULA AND PROBLEMS.
TABLE V.
TO FIND THE MIDDLE ORDINATE.
GIVEN.
FORMULA.
GIVEN.
FORMULAE.
*,/
M - R vers J J
0,7
M = iC tan J7
T,7
MJF nna 1 7"
XV, 7
7? 77*
M= R -(Rcos^I)
Hf KE
E,I
M R + E
TABLE VI.
TO FIND THE CHORD.
GIVEN.
FORMULA.
GIVEN.
FORMULA.
x?, 7
O = 2R sin J7
jftj
0 = 2^coti7
T I
sin ^7
'
cosi
'
^"^exsec |7
TABLE VII.
TO FIND THE INTERSECTION.
GIVEN.
FORMULAE.
GIVEN.
FORMULA.
DA
M
A ^
^ = Too
M, R
vers £7 = —
xt
T
T, f2
tani/=^
E,R
exsec \I = —
o
X?, C
C,T
cos i/ = -^
TO FIND THE ARC.
Problem 1.
Given the 1, FBC = 41°, and the D, BAa = 2°, to find the
-4, AabcdeC.
Formula. Example.
^IAA i^= 20° 30' = 1230'
: -j)100 D = 2° = T207" = 10' 5
Result, yl = 1025.00
4 CIVIL ENGINEER'S FIELD-BOOK.
TO FIND THE SUB-DEFLECTIOK
Problem 2.
Given the c, Af — 75 ft., and the Dy BAa = 4° 18', to find
the d, BAf.
Formula. Example.
_ DC D = 4° 18' = 258'
"100 c= 75
1290
1806 Result,
100. I 19350. I 193.50 - 3° 13' 30" = d.
Problem 3.
Many sub-deflections may be calculated quickly by the fol-
lowing method: Multiply the degree of the given curve by
0.3, and multiply the product thus obtained by the length of
the given sub-chord, and then reduce the second product one
denomination; the result will be the required sub-deflection.
Given the c, gC — 30 ft., and the degree of curve aDb = 2°,
to find the d, BCg.
Example.
Degree of curve = 2°
.3
.6
c = 30.
Second product — 18° 0
Reduced one denomination — 18'0 = d.
EXPLANATION. — When it is required to run a curve very
accurately the above formulae, although generally used, are
not correct. This will be readily understood by considering
that the shorter the chords the nearer the approach to the
circumference of the circle, and the longer the chords the
nearer the approach to the diameter of the circle.
The base of most field-work and calculations is one hundred
feet. Therefore when a chord is shorter than this base it
should be proportionally longer than would be indicated in a
deflection calculated by the above method, and vice versa when
a chord is longer than this base.
The deflection must first be calculated as indicated by Prob-
lem 2 or 3, after which correct the sub chord by the following.
CURVE FORMULAE AND PROBLEMS. 5
Problem 4.
Given the d, BAf — 6°, and the R, AD = 359.265, to find
the c, Af.
Formula. Example.
c = 2Rsmd. 2R= 718.53
d = 6° sin 0.10453
215559
359265
287412
71853
Products = 75.1079409
vlv C- "d7/
Problem 5.
Given the 1, FBC = 45°, and the 11, AD = 637.275, to lay
out a curve by ordinates when the curve begins 60 ft. beyond
a station and ends 60 ft. back of a station.
By Table I. the T, BA and BC = R tan \I = 263.97
By Table III. sin D = -^ = 4° 30'.
By Problem 1, A = ^100 = 500.
Denote BAa' by d.
" BAV " D'Ec.
" Aa' " c.
" AV " CEc.
" aa " o.
Denote a'Aa by x.
" VAb " x'Ec.
" Aa " y.
f< Ab " y'Ec.
" bb' " o'.
CIVIL ENGINEER S FIELD-BOOK.
r
By Problem 2, d = =^ = 1°48', and D' = d + D = 1° 48'
luu
+ 4° 30' = 6° 18'.
Then x = \I - d = 22° 30' - 1°48' = 20° 42', and x' =
\I - D' = 22° 30' - 6° 18' = 16° 12'.
By Problem 4, c — 2R sin d — 40.03, and C — 139.86/&.
To find yEc.
Formula. Example.
y = ccosx. # = 20° 42' cos 0.93544
c= 4003
280632
374176
Product y - 37.4456632
To find oEc.
Formula. Example.
o = c sin x. x— 20° 42' sin 0.35347
c — 40.03
Product o =
106041
141388
14.1494041
Problem 6.
Given the /, FBC = 45°, and the nt AD = 637.275, to lay
out a curve from points on the tangents AB and CB when the
CURVE FORMULA AND PROBLEMS. 7
curve begins 60 ft. beyond a station and ends 60 ft. back of a
station.
By Table I. the I\ BA and BC = R tan \I = 263.96
By Table III. sin D = ~ = 4° 30'.
By Problem 1, A = —100 = 500.
Denote BAa by d. Denote Aa by c.
" BAb " D'. "- Ab " G.
" BAc " D". " Ac " C'.
" Aa' " #. " «#' " y.
" AV " xr. " w " y.
" ^4c' <4 x". " cc' " y".
By Problem 2, c? = ^ = 1° 48', and D' = d + D = 1° 48'
+ 4° 30' = 6° 18', and D" = d + 2D = 1° 48' + 9° = 10° 48'.
By Problem 4, c = 2R sin d = 40.03, and G = 139.86, and
C' = 238.83
To find x.
Formula. Example.
x = ccosd. d = r±8' cos 0.99951
e= 40.03
299853
399804
Product x = 40.0103853
Use the same method to find x' and x".
To find y.
Formula. Example,
y — c sin d. d = 1° 48' sin 0.03141
c~ 40.03
9423
12564
Product y = 1.2573423
Use the same method to find y' and y".
Then, for locating the other half of the curve, begin at C
and run towards B, using the same formulae as given above.
CIVIL ENGINEER'S FIELD-BOOK.
Problem 7.
Given the R, AD = 1432.69 of a located curve AabcC, it is
desired to run another curve A'a'b'c'C' parallel to it at a given
distance of A A' = 75 ft.
The chords A a, ah EC are 100 ft. long.
Denote the chords A a', a'b'Kc, by x.
Denote AD by R , then R = AD - AA = 1432.69 - 75
= 1357.69
By Table III. sin D = ~ = 2°.
To find x.
Formula. Example.
a = 272' sin U. 2 R' = 2715.38
D = 2° sin 0.03490
24438420
1086152
814614
Product x= 94.7667620
If it is desired to run the curve A"a"b"c"C", add the distance
AA" to the R, AD, and use the above method.
CURVE FORMULAE AND PROBLEMS.
Problem 8.
Given the R, AD — 2864.93, to locate a curve when the
point of intersection B is inaccessible.
Make the offset AN — 12 ft. = a, and run NR parallel to
AG intersecting the tangent BU at P, and turn the angle
RPH = OB 14 = 14° = I.
By Table I. the T, BA and BG = R tan ±1 = 351.76
Denote PO by x, and PB by z.
Determine the unknown sides of the triangle BPO by the
following formulae:
To find x.
Formula. Example.
x = a cot /. / = 14° cot 4.01078
a = 12.
802156
401078
Product x = 48.12936
To find z.
Formula. Example.
a I— 14°~1 a = ["Quotient z =
z =
sin J sin 0.24192 J 12.0000 [_49.60
96768
232320
217728
145920
NO - AB = 351.76, and NP(= NO + 0P' = 351.76 +
48.13) — 399.89 from P, a point 12 ft. at right angles to the
point of curve A.
10 CIVIL ENGINEER'S FIELD-BOOK.
The point of tangent C (= BO — BP = 351.76 - 49.60) —
302. 16 from P.
By Table III. sin D = ~ = 1°.
{K
By Problem 1, A = —100 = 700.
Problem 9.
Given the R, AD = 287.939, and the distance around the
curve, AC = 200 ft., to locate the point C from a point on the
tangent A G.
The R, AD being that of a 20° curve, the angle FBC —
40° = /, and by Table VI. the chord AC = 2R sin |7 =
196.962 = C.
Make the distance AG = AC. Then invariably the angle
AGGnudAGG = i/ = 10°.
Calculate the distance GC = x by the following:
Formula. Example.
L 20= 393.924
±7 = 10° cos 0.98481
393924
3151392
1575696
3151392
3545316
Product x = 387.94029444
CURVE FORMULAE AND PROBLEMS.
11
Problem 1O.
Given the 7?, AD = 1632.40, to locate the beginning and
end of a curve when the point of intersection B is inaccessible.
Continue the tangent EA to JV, also the tangent HCto P.
Measure the distance JVP = 359.20 = a, and turn the angle
FPN = 33° 43' = b, and the angle GNP = 28° 35' = c; then
the angle GBP = b + c = 33° 43' + 28° 35' = 62° 18' = 7.
By Table I. the I\ BA and BC = R tan ±1 = 986.67
Denote BN by x, and BP by z.
Determine the unknown sides of the triangle NBP by the
following formulae:
To find x.
Formula. Example.
asmb b — 33° 43' sin 0.55509
: sin/ « = 359.20
1110180
499581
277545
/ = 62° 18'"] 166527 _ ["Result x =
sin 0. 88539 J 199. 3883280 L225. 19
177078
223103
' 177078
460252
442695
175578
88539
870390
12 CIVIL ENGINEER'S FIELD-BOOK.
To find z,
Formula, Example.
_ a sin e c = 28° 35' sin 0.47844
~-~s^T *= 359.20
956880
430596
J = 62° 18'~ 143532 PResult 2 =
'~|
sin 0. 88539 171. 8556480 l94. 10
88539
833166
796851
363154
354156
88539
14490
NA = T - x = 986.67 - 225.19 = 761.48, the distance
from N to the point of curve A.
PC = T - z = 986.67 - 194,10 = 792.57, the distance
from P to the point of tangent (7.
Problem 1 1 .
Given the /, FBO = 58°, to locate a curve through a given
point 1L
Find the point Q on the tangent J3A where the angle BGH
= K = 29°.
Measure the distance Oil = 40 ft. = a, also the distance
BO = 500 ft. = b.
Denote OK by x, and HK\-y y, and QA by z.
CURVE FORMULAE AND PROBLEMS.
13
Calculate x and z by the following formula?:
To find x.
Formula. Example,
x = 2b cos \T. \I — 29° cos 0.87462
2b = 1000.
Product x = 874.62000
Then y = x - a = 874.62 - 40. = 834.62
To find z.
Formula.
z =
Example.
y = 834.62
a = 40.
33384.80
Result z —
182.71
28 I 233
224
362 I 984
724
3647 I 26080
25529
36541 I 55100
36541
The tangent BA and BC = b + z = 500. + 182.71 = 682.71
By Table II. the 11, AD = Tcot i/= 1231.64
Problem 12.
Given the /, FBG = 41° 36', and the distance CJ= 8.62 — a,
to determine how far toward G, A' must be from A to start
the curve A'C', which is similar to AC, to have it run into the
tangent C'K parallel to Oil at the given distance a.
14 CIVIL ENGINEER'S FIELD-BOOK.
Denote the distance A A' by x and calculate it by the following:
Formula. Example.
a I — 41° 36'~1 a — ("Quotient x =
~ sin 7 sin 0.66393 J 8.6200|_12.98
66393
198070
132786
652840
597537
553030
Problem 13.
Given the R, AD = 1432.69, and the /, FBO = 62° 30', of a
located curve AC to find the R\ AD' of another curve to start
from the same point A and end in the tangent C'K parallel to
OH at a given distance CC' = 42.60 = a.
Denote the distance DD' by x and calculate it by the fol-
lowing.
Formula. Example.
\a \I— 31° 15'"] \a = ["Quotient x =
~ sin i/ gin o,51877j21.3000L41.05
207508
54920
51877
304300
Then R = R + x = 1432.69 + 41.05 = 1473.74
CURVE FORMULAE AND PROBLEMS. 15
Problem 14.
Given the R, AD = 1910.03, and the /, FBC = 31 30' of a
located curve AC, to find the H' ; AD' of another curve to
start from the same point A, and end in the tangent C'K, par-
allel to GH&i a given distance, GO' = 14 ft. = a.
Denote the distance DD' by x, and calculate it by the fol-
lowing:
Formula. Example.
a I = 31° 30'~| a = ["Quotient x =
vers /' vers 0.14736J14.0000L90.00
133624
73760
73680
x = —
8000
Then R' = R + x = 1910.08 4- 95.00 == 2005.08
COMPOUND CURVES.
Problem 15.
Having run the curve A C with the R, AD = 955.366 and
the I, FBC — 54° 30', it is desired to flatten the curve at each
end, a distance of A G and CH = 150 ft. with a radius of AD'
and CD' = 1910.08 = R'.
16
CIVIL ENGINEER'S FIELD-BOOK.
Required the radius GD" and IID" = r, to join the two
curves A O and Gil at G and //.
The R', AD', and CD' being that of a 3° curve, the angle
AD'G = 4° 30', also CD' II = 4° 30'.
The angle GD'U =1- (AD'G + CD' 11) = 54° 30' - 9°
= 45° 30' = /'.
Denote R1 - R by a; then a = 1910.08-955.366 = 954.714.
Denote the distance D"D' by x, and calculate it by the fol-
lowing:
Formula. Example.
as'mil a = 954.714
* = "sin ±1' I* = 27° 15' sin 0 45787
6682998
7637712
6682998
4773570
iP = 22° 45' ~| 3818856 TResult x =
sin 0.38671J437.13489918LH30.39
38671
50424
38671
117538
116013
152599
116013
365861
Then r = E' — x = 1910.08 - 1130.39 ~ 779.6
CURVE FORMULAE AND PROBLEMS.
17
Problem 1 6.
Given the chord AC' = 600 ft. = O, and the angle BAG'
= 45°, and the angle BO' A — 67° 36', to find the radii CD and
CD' to lay out the compound curve AGO'.
The angle GAG' = %BAC = -22° 30' = a, and the' angle
CO A = $BC'A = 33° 48' = b.
The angle A GC1 = 180° - (22° 30' + 33° 48') = 123° 42' = e.
Denote the chord A G by x, and the chord CO' by y, and cal-
culate the two sides, x and yt of the triangle AGG' by the fol-
lowing formulae :
To find x.
Formula.
C sin b
x =
sm e
Example.
b = 33° 48' sin 0.55630
C= 600.
e = 123°42H 333.78000 FResult X =
8in0.83195>378° [401.80
100000
83195
?.68050
18 CIVIL ENGINEER'S FIELD-BOOK.
To find y.
Formula. Example.
ff sin a a = 22° 30' sin 0.38268
~^T7~ 0 = 600.
e = 123° 42r
sin 0.83195
229.60800
166390
"Result y =
275.98
632180
582365
498150
415975
821750
748755
729950
The angle GAG' = %'BB' C — |/to the curve AC, and sim-
ilarly the angle GO A = %GB» '0' = $1 to the curve CO'.
Having thus found the chords A C, and CC' the R, CD, by
Table II. = --^—-r= 524.20, and the R, CD = 248.05
2 sm |/
Problem 1 7.
Given the angle FBC' = 112° 36', and the distance ^4J5
= 600.870 = a, and the distance C*-B = 459.557 = 5, to find
the radii CD and CD to lay out the compound curve A CC' .
Denote the angle BAG' by x, and the angle BC' A by y, and
the distance AC' by g.
The angle ABC' = 180° - 112° 36' = 67° 24' = c, and 0
+ # = 112° 36' ,
Calculate a?, y, and 2, by the following formulae:
To find half the difference between x and y.
tan $(y — x) =
Formula,
(a — b) tan $(x + y)
CURVE FORMULA AND PROBLEMS. 19
Example.
a — b= 141.313
+ y)= 56° 18' tan 1.49944
565253
565252
1271817
1271817
565252
a + b =q 141313 ["Result tan tfy-a?) =
1060. 427J 211.89036472 L-19982 = 11° 18'
3060427
10584766
9543843
10409234
9543843
8653917
8483416
1705012
Then x = *(« + y) - l(y -x)= 56° 18' - 11° 18' = 45°
and y = \(x + y) + \(y - x) = 56° 18' + 11° 18' = 67° 36'.
To find s.
Formula.
a
z = sin c.
sm y
Example.
y = 67° 86'"] a = I" a =
sin y
-649.90
I .
sin 0.92455J 600.870 [j
554730
461400 c = 67° 24' sin 0 92321
369820
915800 129980
194970
129980
584910
Result z = 599.9941790
Then by Problem 16, the chord AC = 401.20 and the chord
CO = 275.98
By Table II. the Rt CD = .*\r= 524.20, and the J?,
OD' = 248.05.
CIVIL EKGIKEEK'S FIELD-BOOK.
REVERSED CURVES.
Problem 1 8.
Given the angle CrAF = 20° = a, and the distance AC'
= 400 ft. = C, to find the R, CD and CD' to join the* two paral-
lel lines AF and EG' with the reversed curve ACG'.
Formula.
R=_$c_
sin a
Example.
a = 20°~| i(7 = ["Quotient.
sin 0.34202J 100.000 [_292. 380
68404
315960
307818
81420
68404
130160
102606
275540
Problem 19.
Given the angle C'AF= 3° 31' = a, and the distance AE
— 14 ft. = d, to find the R, CD and CD' to join the two par-
allel lines ,4^ and EG' with the reversed curve ACG' .
Calculate the distance AC' = C by the following:
CURVE FORMULAE AND PROBLEMS.
Formula. Example.
_ d_^ a — 3° 31H d — ("Quotient. C =
~ siu a sin 0. 06134 J 1 4.000 [_228. 236
12268
17320
12268
50520
49072
14480
12268
22120
18402
37180
Then by Problem 18, the R, CD and CD' = ~- = 930.208
Problem 2O.
Given the distance AF — 196.11 = b, and the distance AE
= 14 ft. = dy to find the R, CD and CD' to join the two par-
allel lines J.^7and EC' with the reversed curve AGO'.
Calculate the angle C' AF = a by the following:
Formula. Example.
d b =~\ d = ("Quotient, tan a =
tan a = r
196. 11 J 14.0000 L-07139 = 4° 05'
137277
27230
19611
76190
58833
173570
Then by Problem 19 the distance AC' = ~ 196.605
sin a
And by Problem 18 the R, CD and CD = 4-^~ = 690.230
bin a
CIVIL ENGINEER'S FIELD-BOOK.
Problem 21.
Given the R, CD and CD = 819.02 and the angle C'AF
= 3° 15' = a, to find the distance AF =. b.
Formula. Example.
b = 2R sin 2a. 2R = 1638.04
2a = 6° 30' sin 0.11320
3276080
491412
163804
163804
Product b = 185.4261280
Ei
Problem 22.
Given the angle C'AF= 3° 45' = |J, and the R', CD =
941.60, and the distance AE = 14 ft. = d, to find the R, CD'
of the curve CC' to join the tangent J£Cr, which is parallel to
AF at the given distance, and complete the reversed curve
ACC'.
Denote AC by (7, and AC' by C", and CC' by C.
Calculate C' and C" by the following formulae:
To find C'.
Formula. Example.
C' = 2R' sin !/. 2R = 1883.20
i/ = 3° 45' sin 0.06540
7532800
941600
1129920
Product C' = 123.1612800
CURVE FORMULA AND PROBLEMS.
To find C".
Formula.
c" = -J-, ,
sin
Example.
i/= 3° 45' I d = ["Quotient. C" =
sin 0.06540J 14.000 [_214.067
13080
9200
6540
26GOO
26160
44000
39240
47600
Then C = C" - C1 = 214.067 - 123.161 = 90.906
Having Urns found C by Table II. R =
sin
.= 695.0
Problem 23.
Given the /, OBF = 14° 32', and tlie distance BB' = 548.5
rr a, and 7', GB'JI = 10° 30, to find the ^, CT) and CD' to
join the two lines EB and I?'// with the reversed curve ACC'.
24
CIVIL EITGINEEU'S FIELD-BOOK.
Formula,
a
tan i/ + tan
Example.
7° 21' tan 0.12899
5° 15' tan 0.09189
tan
1 a = fResult.
8 548.50
taniT = .22088 548.50 2483.24
J 441 76 L
106740
88352
183880
176704
66264
54960
44L76
107840
Problem 24.
Given the R, AD = 1661.0 and the R', AD' = 941.6 and
the R", CD" = 235 4, and the distance Aa and eC' = 20 ft. =
d, to join the two parallel curves Ae and aG' with the re-
versed curve AGG'.
Required the /', ADD", and the /", D'D'G', to determine
the length of the curve AG, and the length of the curve GG'.
Find all the sides of the triangle DD'D" by the following
method: The distance
D'D" = R' + R" = 941.6 + 235.4 = 1177.0 = a,
and D'D = R + d - R" = 1661.0 + 20. - 235.4 =
1445.6 = b,
and DD' = R + R = 1661.0 + 941.6 = 2602.6 = c.
Ma _i_ b _|_ C) = 2612.6 = s.
CURVE FORMULA AND PROBLEMS.
Then calculate /' and /" by the following formulae:
To find /'.
Formula.
sin ±1' —
($ — a) (s — c)
n(s — a} (s — c) =
14356.0000
ac
306326.02J
122530408
Example.
Quotient =
.0046865101
6] 36
r-
|_
i-
sin
|_ =
Result,
r/' = .06846
3° 55' 30"
210295920
183795612
128
1086
1024
265003080
245060816
1364
6251
5456
/' = 7° 51'
199422640
183795612
13686 1 79501
To find /".
.Formula.
. _ sin I'c
156270280
153163010__
•31072700"
30632602
44009SOO
Example.
T = 7° 51' sin 0.13658
c = 2602.6
81948
27316
81948
27316
b — "1355.4631 08 ["Result, sin I" =
1445.6 [28912 [^24589=
66343
57824
85191
72280
129110
115648
134628
CIVIL ENGINEER'S FIELD-BOOK.
FROG PROBLEMS.
ABBREVIATIONS.
N = Frog number.
D = Degree of curve.
C = Chord, AC.
F = Frog angle, HEG.
L = Distance, JE.
S = Length of switch-rail.
R = Radius, AD.
T — Tangent, BA.
I = Intersection, FBG.
G = Gauge of track, JK.
Problem 25.
Given the frog measurements EN = 8.55 = a, and IIG
0.95 = bt to find the frog number N.
Formula. Example.
— _a b ="| a — ("Quotient. N —
~ *" 0.95J8.55L9.
8.55
Problem 26.
Given the frog measurements EN = 8.55 = a, and IIG
0.95 = &, to find the F, II KG.
Formula. Example.
±F-- a =~H& = FQuotient, tan \F =
~ a 8. 55 JO. 4750 L. 05555 = 3° 10' 47"
4275
4750
CURVE FORMULA AND PROBLEMS. 27
Problem 27.
Given the frog number N, — 9, to find Hie Ft IIEG.
Formula. Example.
0.50 N =~] ["Quotient, tan %F =
N 9 J 0. 50 L 05555 = 3° 10' 47"
45
50
Problem 28.
Given the It, AD = 150.656, and the G, JK = 4.708, and
the L, JE = 37.664, to find the F, IIEG.
Formula.
L
tan F =
Example.
R — \G =~| Z = ["Quotient, tan ^ =
148. 302 J 37.6640 L. 25397 = 14° 15'
296604
800360
741510
588500
444906_
1435940
1334718
1012220
28 CIVIL ENGINEER'S FIELD-BOOK.
Problem 29.
Given the R, AD = 150.656, and the F, HEG = 14° 15', to
find the C, AC.
'Formula.
C = 211 sin $F.
Example.
2R = 301.312
$F= 7° 07' 30" sin 0.124035
1506560
903936
1205248
602624
301312
Product C = 37.373233920
Problem SO.
Given the F, HKQ- = 14° 15', and the It, AD = 150.656,
and the G, JK = 4.708 to find the L, JE.
Formula.
L = (ll- i#) tan F.
Example.
E - |# = 148.302
F = 14° 15' tan 0.25397
1038114
1334718
444906
741510
296604
Product L = 37.66425894
Problem 31 .
Given the G, JK — 4.708, and the frog number N~ = 4, to
find the L, JE.
Formula. Example.
L = 2GN. 2G = 9.416
N= 4
Product L = 37.664
CURVE FORMULAE AND PROBLEMS.
Problem 32.
Given the L, JE = 37.664 to find the length of the switch-
rail 8.
Formula. Example.
_ L ~~| L = ["Quotient. 8 =
~3-36 3.36J37.664L11.209
336
406
336
704
672
3200
The above formula is for a gauge of 4.708; for a three-foot
gauge. S = -
TO FIND THE TANGENT Oil RADIUS.
To find the T, BA or BC, or the R, AD. The F, BEG =
.FJW7 = 7. Then by Table I. T = R tan \I, and by Table
II. R- TcotiL
Problem 33.
Given the R, AD = 762.696, and the G, JK - 4.708, to
find the F, Q-K11 of the middle frog in a three-throw switch.
Formula.
vers ±F =
30 CIVIL ENGINEER'S FIELD-BOOK.
Example.
IQ) =-| G = ("Quotient, vers +F =
1530. 1J 4.7080 1_. 003076 = 4° 29' 45"
45903
117700
107107
105930
Problem 34.
Given the R, AD = 762.696, and the F, IIEG = 8° 59' 30",
to find the distance AE = I.
Formula.
I = It tan \F.
Example.
B = 762.696
$F = 4° 29' 45" tan 0.078628
6101568
1525392
4576176
6101568
5338872
Product I =
59.9(5926 L088
Problem 35.
To find the frog angle when the main track is curving in the
same direction as the proposed turnout.
Given the curve of the main track, AF = 5°, and the curve
of the turnout AL = 9° 30'. Subtracting the lesser curve from
CURVE FORMULA AND PROBLEMS. 31
the greater, we have a departure of 4° 30', with a relative
radius of 1273.57 = R '.
Then given R1 = 1273.57, and the G, JK = 4.708, to find
the F, IIEG.
Formula.
Example.
R' + ±Q =n G = ["Quotient, vers F =
1275. 924 J 4.708000 L 00368 = 4° 55'
3827772
8802280
7655544
11467360
Problem 36.
Given the R, AD' = 603.805, and the R'< AD = 1146.28, and
the Ft IIEG = 4° 55', and the G, JK = 4.708, to find the
chord AC= C.
By the following method solve the required parts of the
triangle EDD':
The distance
DD' = R - R = 1146.28 - 603.805 = 542.475 = a.
The distance
D'/S = 7? + \G = 603.805 + 2.354 = 606.159 = b.
To find the angle EDD = I'.
Formula.
. T, b sin F b
Example.
= 606.159
= 4° 55' sin 0.08571
a F
606159
4243113
3030795
4849272
a - 51.95388789 Result, sin /' =
542.475 j 4883275 |_.09577 = 5°29'44"
3131137
2712375
4187628
3797325
3903039
32
CIVIL ENGINEER S FIELD-BOOK.
Then the angle AD' C = I' + F = 5° 29' 44" + 4° 55' =
10° 24' 44" = /.
By Table VI. C = 2It siii I/ = 109.58.
Problem 37.
To locate a frog when the main track is curving in a direc-
tion opposite to that of the proposed turnout.
Given the curve of the main track AF = 3°, and the curve
of the proposed turnout AL — 9°, and the G, JK = 4.708
Adding the lesser curve to the greater, we have a' departure
of 12° with a relative radius of 478.339 = R'.
To find the Ft HEG.
Formula.
Example.
$Q = n G = Pvers. F =
480.693 J 4.708000 L 00979 = 8° 01' 30"
4326237
3817630
3364851
4527790
4326237
2015530
Then relatively the angle CD' A = 6° 01' 08" = /.
Then, given the R, AD' = 637.275, and the /, ADC = 6°
01' 08", to find the chord A C = C.
By Table VI. C = 2E sin \I = 66.91
CURVE FORMULAE AND PROBLEMS.
M
o
W
o
. CO
I!
<l CO
EH O
O
§
Q
S
1
2
t- O
I SJ i~ :r cs o co
| O -O • • •
I ?•* !<2 r1 o en JH
C^S^^
^3 O i , <X O» 00
*° Jg °° g » S
O rt O^TFriO
W I-H
51-1 t_T_<O
O CO »-ilO
i
feco
!-<=>
N
Is
^-
^j 00 ^ QC OS 0
c? ? £
'
05
CIVIL ENGINEER'S FIELD-BOOK.
TABLE IX.
RIGHT TRIANGLES.
TO FIND A.
GIVEN.
FORMULAE.
GIVEN.
FORMULAE.
5
6, c
tan A — -
c, b
cot A — -
c
b
6, a
SinA=l
c, a
cos A = -
a
TO FIND B.
6,c
6, a
cot B -— -
cos J5 = -
a
c, 6
c, a
tan B b
sin B =.-
a
TO FIND a.
A,b
A,c
6
.B, 6
b
~ sin A
~ cos ^[
cos 1?
c
~sin B
TO FIND b.
A,c
A, a
b = c tan ^4
6 = a sin ^l
5, a
B, c
b — a cos J5
5 = c cot £
TO FIND c.
A, a
c = a cos .4
c = b cot ^4
B,a
c = a sin 5
c = b tan 5
CURVE FORMULAE AND PROBLEMS.
35
TABLE X.
OBLIQUE TRIANGLES.
TO FIND a, ft, c.
TO FIND A,
B, C.
GIVEN.
FORMULAE.
GIVEN.
FORMULAE.
A, ft, C
A,B,c
A,B,b
a
ft
c
ft sin C
a, ft, C
A, 6, c
-4, a, ft
sin^L
sm£
sin C
ft sin C
sin A
c sin A
a
c sin .4
sinB
ft sin B
ft
a sin .4
sin .4
ft
TO FIND A,B,C.
GIVEN.
FORMULA.
a, c, s
a, ft, s
ft, c, s
/(s - a) (s -
c)
an ^ |/ ac
„• i p A* — a) (s — k)
^/ aft
-in ,c_ . As-b)(s-
c)
Y be
36
CIVIL ENGINEER'S FIELD-BOOK.
TABLE XI.
LONG CHORDS, DEFLECTIONS, AND ORDINATES.
CURVE.
LONG CHORDS.
DEFLEC-
TIONS.
ORDI-
NATES.
200
ft.
300
ft.
4OO
ft.
500
ft.
GOO
ft.
599.733
700
ft.
|j
H go
Chord.
25.
50.
1°
199.992
299.970
399.924
499.848
699.574
.873
1.745
.164
.218
2°
199.970
299.878
399.695
499.391
598.934
698.295
1.745
3.490
.327
.436
3°
199.931
299.726
399.315
498.630
597.604
696.168
2.618
5.235
.491
.655
4°
199.878
299.513
398.782
497.566
595 744
693.196
3.490
6.980
.655
.873
5°
199.810
299.239
398.099
496.201
593.358
689.386
4.362
8.724
,818
1.091
6°
199.726
298.904
397.264
494.534
590.449
684.745
5.234
10.467
.982
1.309
7°
199.627
298.509
396.278
492.568
587.021
679.285
6.105
12.210
1.146
1.528
8°
199.513
298.054
395.142
490.306
583.081
673.015
6.976
13.951
1.310
1.746
9°
199.383
297.538
393.857
487.749
578.633
665.950
7.846
15.692
1.474
1.965
10°
199.239
296.962
392.424
484.900
573 686
658.105
8.716
17.431
1.638
2.183
11*
199.079
296.325
390.843
481.762
568.245
649.496
9.585
19.169
1.802
2.402
13°
198.904
295.629
389.116
478.338
562.321
640.142
10.453
20.906
1.967
2.620
13°
198.714
294.874
387.243
474.633
555.921
630.062
11.320
22.641
2.131
2.839
14°
198.509
294.059
385.225
470.649
549.056
619 278
12.187
24.374
2.296
3.058
15°
198.289
293.185
383.065
466.390
541.736
607.812
13.053
26.105
2.461
3.277
16°
198054
292.252
380.763
461.862
533 972
595.688
13.917
27.835
2.625
3.496
17°
197.803
291.261
37'8.320
457.069
525.776
582.933 14.781
29.562
2.791
3.716
18°
197.538
290.211
375.739
452.015
517.160
569.571 15.643
31.287
2.956
3.935
19°
197.256
289.104
373.021
446.706
508.139
555.634 16.505
33.010
3.121
4.155
30°
196.962
287.939
370.167
441.147
498.724
541.147 17.365
34.730
3.287
4.374
CURVE FORMULA AND PROBLEMS.
TABLE XII.
RADII.
37
M
0°
Curve.
1° 3° 1 3° | 4°
Curve. Curve. Curve. Curve.
5°
Curve.
6°
Curve.
7°
Curve.
8°
Curve,
9°
Curve.
O
5729.65 2864.93 1910.08 1432.69 1146.28
955.366
819.020
716.779
637.275
1
343775. 5635.72 2841.26 1899.53 1426. 74; 1142. 47
952.722
817.077
715.291
636.099
3
171887.
5544 83 2817.97 1889.09 1420.85 1138.69
950.093
815.144
713.810
634.928
3
114592.
5456.82 2795.06 1878.77 1415.01
1134.94
947.478
813.238
712.335
633.761
4
85943.7
5371.56 2772 53 1868.56 1409 21
1131.21
944.877
811.303
710.865
632.599
5
68754.9
5288.92 2750.35 1858.47 1403.46
1127.50
942.291
809.397
709.402
631.440
6
57295.8
5208 . 79 2728 . 52 1 848 . 48 1 397 . 76
1123.82
939 719
807.499
707.945
630.286
7
49110.7
5131.05 2707.04 1838.59 1392.10
1120.16
937.161
805.611
706.493
629.136
8
-12971.8 5055.59 2685.89 1828.82 1386.49
1116.52
934.616
803.731
705.048
627.991
9
38197.2
4982.332665.08^819.141380.92
1112.91
932.086
801.860
703.609
626.849
1O
34377.5
4911. is'2644. 58 1809.57 1375.40
1109.33
929.569
799.997
702.175
625.712
11
31252.3
4841.98 2624.39 1800.10 1369.92
1105.76
927.066
798.144
700.748
624.579
13
28647.8
4774.74 2604.51 1790.73 1364.49
1102.22
924.576
796.299
699.326
623.450
13
26444.2
4709 . 33 2584 . 93 1 781 . 45 1359 . 1 0
1098.70
922.100
794 462
697.910
622.325
14
24555.4
4645.69 2565.65 1772.27 1353.75
1095.20
J19.637
792.634
696.499
621.203
15
22918.3
4583.75 2546.64 1763.18 1348.45
1091.73
917.187
790.814
695.095
620.087
16
21485.9
4523.44 2527.92 1754.19 1343.15 1088.28
914.750
789.003
693.696
618.974
17
20222.1
4464.70 2509.47 1745 26 1337.65 1084.85
912.326
787.210
692.302
617.865
18
19098.6
4407.46 2491.29 1736.48 1332.77 1081.44
909.915
785.405
690.914
616.760
19
18093.4
4351.67 2473. 371727. 75 j 1327. 63
1078.05
907.517
783.618
689.532
615.660
30
17188.8
4297 . 28 2455 . 70 1 719 . 1.2 1322 . 53
1074.68
905.131
781.840
688.156
P.14.563
31
16370.2
4244.23 2438.29 1710.56 1317.46 1071.34
902.758
780.069
686.785
613.470
33
15626.1
4192.47 2421.12 1702.10 1312. 4311068.01
900.397
778.307
685.419
612.380
33
14946.7
4141.96 2404.19 1693.72 1307.45
1064.71
898.048
776.552
684.059
611.295
34
14323.6
4092.66 2387.50 1685.42 1302.50
1061.43
895.712
774.806
682.704
610.214
35
13751.04044.51 2371.04 1677.201297.58
1058.16
893.388
773.067
681.354
609.136
36
13222.113997.49 2354.80 1669.06 1292.71
1054.92
891.076
771.336
680.010
608.062
37
12732.4
3951.54 2338.78 1661.00 1287.87
1051.70
H88.776
769.613
678.671
606.992
38
12277.7
3906.54 2322.98 1653.01 1283.07
1048.48
886.488
767.897
677.338
605.926
39
11854.3
3862.74 2307.39 1645.11 1278.30
1045.31
884.211
766.190
676.008
604.864
3O
11459.2
3819.83 2292.01 1637.28 1273.57
1042.14
881 946
764.489
674.686
603.805
31
11089.6
3777.85 2276.84 1629.52 1268.87
1039.00
879.693
762.797
673.369
602.750
33
10743.0
3736.79 2261.86 1621.84 1264.21
1035.87
877.451
761.112
672 056
601.698
33
10417.5
3696.61 2247.08 1614.22 1259.58
1032.76
875.221
759.434
670.748
600.651
34
101 Il.li3o57. 29 '2232. 49 1606.68 1254.98
1029.67
873 002
757.764
669.446
599.607
35
9822 18 3618.802218.09 1599.21 1250.42
1026.60
S70.795
756.101
668.148
598.567
36
9549.34 3581 .10 2203.87 1591.81 1245.89
1023.55
868.598
754.445
666.856
597.530
37
9291.293544.19 2189.84 .1584.48 1241.40
1020.51
866.412
752.796
665.568
596.497
38
9046.75 3508.02 2175.98 1577.21 1236.94 1017.49
864 238
751.155
664.286
595.467
39
8814.78
3472.592162.30 1570.01 1232. 51 11014.50
8G2.0V5
749.521
663.008
594.441
j
40
8594.41
3437 . 87 2148 . 79 1562 . 88 1 228 . 1 1 ' 101 1 . 51
S59.922
747.894
661.736
593.419
41
8384.80 3403.83 2135 44 1555.81 1223.74 1008.55
857.780
746.274
660.468
592.400
43
8185.16 3370.46 2122.26 1548.80 1219.40 1005.60
855.648
744.661
659.20:.
591.384
43
7994.81:3337.74 2109.24 1541.86 1215.30 1002.67
853.527
743.055
657.947
590.372
44
78 1 3 . 1 1 3305 . 65 2096 39 1 534 . 98 1 2 10 . 82 999 . 762
851.417
741.456
656 694
589.364
45
7639 . 49 3274 . 1 7 2083 . 68 1 528 . 16 1 206 . 57 996 . 867
849.317
739.864
655.446
588 359
46
7473.42 3243.29 -,'071. 13 1521.40 1202.36 993.988
847.228
738.279
654.202
587.357
47
7314.41 3212.982058.73 1514.70 1198.17991.126
845.148
736.701 652.963
586.359
48
7162.03 3183.23 2046.48 1508.06 1194. 01 '988. 280
843.080
735.129651.729
585.364
49
7015.87 3154. 03!2034. 37 1501.48 1189.88 985.451
841.021
733.564
650.499
584.373
50
6875.55 3125.36 2022. 41 '1494.95 1185.78 982.638
838.972
732.005
649.274
583.385
51
6740.74 3097.20 2010.59 1488.481181.71 979.840
836.933
730.454648.054
582.400
53
66 1 1 . 12 3069 55 1 998 . 90 1482 . 07 1 1 77 . 66 977 . 060
834.904
728.909646.838
581.419
53
6486.38 3042.39 1987.35 1475.71 1173.65 974.294
832.885
727. 370 '645. 627
580.441
54
6366.263015.71 1915.93 1469. 41 '1169. 66 971.544
830.876
725 838644.420
579.466
55
6250.51 2989.48 1964.64 1463.16 1165.70 968.810
828.876
724 312643.218
578.494
56
6138.90 2963. 7 1 1953. 48 1456.96 1161.76 966.091
826.886
722.79*642.021
577.526
57
61 >31 . 20 2938 39 1 942 . 4 4 1450 . 8 1 1 1 57 . 85 903 . 387
824.905
721.280640.828
576.561
58 ! 5927. 2-2 2013.49 1931 .53 1444.72 1153.97 960.698
822.934
719.774639.639
575.599
59 58-.'G . 76 2889 . 01 | 1920 . 75, 1438 .68 1150. 1 1 958. 025
820.973
718.273638.455
574.641
CIVIL ENGINEER'S FIELD-BOOK.
TABLE XII.— RADII -Continued.
M
10°
Curve.
11°
Curve.
Curve
13°
Curve.
14°
Curve.
15°
Curve.
Curve.
17°
Curve.
18°
Curve.
19°
Curve.
o~
573.686
521.671
478.339441.684
410.275
383 065 1359. 265 338. 273
319.623
302.943
1
572.734
520.885
477.678441.120
409 790 382 . 64 \» 358 . 893 337 . 945
319.330
302.680
2
571.784
520.100
477.018440.559
409. 306 382. 220 ! 358. 523
337.616
319.037
302.417
3
570.839
219.318
476 361
439.999
408.823
381. 799 1358.153 337 289
318.745
302.155
4
569.896
518.539
475.705
439.440
408.341
381.380357.784336.962
318.453
301.893
5
568.957
517.761
475.052
438.882
407.860
380.961
357.415
336.636
318.162
301.632
6
568.020
516.986
474.400
438.326
407.380
380.543357.048336.310
317.871
301.371
7
567.087
516.214
473.750
437.772
406.902
380.125356.681
335.985
317.581
301.111
8
566.156
515.443
473.102
437.219
406.424
379 . 709 356 . 31 5 335 . 660 317. 292
300.851
9
565.229
514.675
472.455
436.667
405.948
379.294355.950
335.337
317.003
300.592
10
564.305
513.909
471.810
436.117
405.473
378.880355.585
335.013
316.715
300.333
11
563.384
513.146
471.167
435 568
404.998
378.466355.222
334. 691 1316. 427
300.074
12
13
562.466
561.551
512.385
511.626
470.526
469 887
435.020
434.474
404.526
404.055
378 . 054 ; 354 . 859 334 . 369 1 3 1 6 . 1 39
377.642 351 496 334.048 315.853
299.816
299.559
14
560.638
510.869
469.249
433 929
403.583
377.231
354.135
333.727
315.566
299.302
15
559.729
510.115
4G8.613
433.385
403.114
376.821
353.774333.407
315.281
299.045
16
558.823
509 363
467.978
432.844
402.645
376.412
8:8.414
333.088
314.993
298.789
17
557.920
508.613
467.346
432.300
402.178
376.004
353. 054 1332. 769
314.711
298.533
18
557.019
507.865
466 715
431.764
401.712
375.597
352.696
332.451 314 426
298 278
19
556.122
507.120
466.086
431.226
401.246
375.191 352.338 332.133 314.143
298.023
20
555.227
506.376
465.459
430.690
400.782
374.786351.981
331.816313.860
297.768
21
554.336
505.635
464.833:430.154
400.319 374.381 351, 625 331 . 500 313.577
297.514
22
553.447
504.896464.209429.620
399 857
373.977351.269
331.184313.295
297.260
23
552.561
504.159463.586429.088
399.396
373 575350.914
330.869313.013
297.007
24
551.678
503.425
462.966428.557
398 . 937 373 . 1 73 350 . 560 330 . 555 31 2 . 732
296.755
25
550.800
502 692
462.347428.026
398.4781372.772
350.207
330.241
312.452
296.502
26
549.920
501.962461.729427.498
398.020372.372
349.854
329.928
312.172
296.250
27
549.046
501.233461.114426.971
397.564
371.972
349. 502:329. 615 311. 892
295.999
28
548.174
500.507
460.500426.445
397.108
371.574
349.150329.303
311.613
295.748
29
547.305
499.783
459.887425.920
396.653
371.176
348.800
328.991
311.335
295.497
30
546.438
499.061
459.276
425 396
396.200
370.780
348.450
328.689
311 056
295.247
31
545.575
498.342
458.667424.874
395.747
370.384
348.101
328.370
310.779
294 998
32
544.714
497.624
458.060424.354
395.296
369.989
347.752328.061
310.502
294.748
33
543.856
496 908
457.454423.834
394.841
369.595
347.405327.751
310.225
294.500
34
543 001
496.195
456.850423.316
394.396
369.202
347.057
327.443309.949
294 251
35
542.148
495.483
4.r;6.247422.799
393.948
368.809
346. 71 li 327. 135
309 614
294.003
36
541 298
494.774
455.646422 283
393.501
368.418
346 365
326.828
309.399
293 756
37
540.451
494.066
455.047421.769
393.054
368 027
346.021
326.521
309.124
293.509
38
539.606
493.361
454.449421.256
392.609
367.637
845,676
326.215
308.850
293.262
39
538.764
492.657
453.853420.743392.165
367.248
345.333
325.909
308.577
293.015
40
537.924
49! .956
453.259420.233:391.722
366.859
344.990325.604
303 303
292.770
41
537.088
491.257
452.664 419.723
391.280
366.472:344.647
325 530308.031
292.524
43
536.253
490.559
452.073:419.215
390.838
366.0851344.306
324.996:307.759
292.279
43
44
535.422
534.593
489.864
489.171
451.482418.708
450.894 418 203
390.398
389.959
365 . 691 343 . 965 324 . 692 307 . 487
365 .315343. 625 324 . 390 307 .216
292.034
291.790
45
533.767
488.479
450.307417.698
389.521
364.931
343.285
324.088306.945
291.546
46
532.943
487.790
449.722417.195
389.084
364 547
342.947
323.786306.675
291.303
47
532.120
487.103
449.138416.693
388.647
364.165
342.609
323.485306.405
291.060
48
531.303
486.417
448.556416.192
388.212363.783
342.271
323.184 306.136
290.818
49
530.487
485.733
447.975415.692
387.778363.402
341.934
322.885305.868
290.575
50
529.673
485.051
447.395j415.194
387.34.'
3G3.022
341.598
322.585
305 599
290.334
51
528.862
484.372
446 818414.697
386.912
362.643341.263
322.237 305.332
290.092
5*3
528.053
483.694
446.241
414.201
386.481
362.264
340.928
821.989:305.064
289.851
53
527.247
483.018
445.666
413.706386.050
361.887
340 594
321. 691 1304 797
289.611
54
526.443
482.344
445.093
413.212385 621
361.510
340. 2GO
321.394304.531
289.371
55
525.642
481.671
444.521
412.720385.193
361.134
339.928
321.097:304.265
289.131
56
524.843
481.001
443.951
412.229384.765
360.758339.595
320.801 304.000
288.892
57
524.046
480.333
443.382
411.739384.339
360. 384! 339 265
320.506303.735
288.653
58
523.252
479.666
442 814
411.250383.913
360.010338.933
320.211 303.470
288.414
59
522.461
479.001
442.248
410.762383.488
359.637338.603
319.916 303.206
288.176
CURVE FORMULAE AND PROBLEMS.
39
TABLE XIII.
GRADES.
Grade
per
100 ft.
Rise
per
Mile.
Grade
per
100 ft.
Rise
per
Mile.
Grade
per
100 ft.
Rise
Mite.
Grade
per
100 ft.
Rise
per
Mile.
.05
2.640
.59
31.152
1.13
59 664
1.67
88.176
.06
8.168
.60
31.680
1.14
60.192
1.68
88.704
.07
3.696
.61
32.208
1.15
60.720
1.69
89.232
.08
4.224
.62
32.736
1.16
61.248
1.70
89.760
.09
4.752
.63
33.264
17
61.776
1.71
90.288
.10
5.280 i
.64
33 792
.18
62.304
1.72
90.816
.11
5.808
.65
34.320
.19
62.832
1.73
91.344
.12
6.336
.66
34.848
.20
63.360
1.74
91.872
,w
6.864
.67
35 376
.21
63 888
1.75
92.400
.14
7.392
.68
35.904
.22
64.416
1.76
92.928
.15
7.920 !
.69
36.432
.23
64.944
1.77
93.456
.16
8.448 |
.70
36.960
24
65.472
1 78
93.984
.17
8.976 j
.71
37.488
.25
6G.OOO
1.79
94.512
.18
9.504
.72
38.016
.26
66.528
1.80
95.040
.19
10.032
.73
38.544
.27
67.056
1.81
95.568
.20
10 560
74
39 072
.28
67.584
1.82
96 096
.21
11.088
.75
39.600
.29
68.112
1.83
96 624
.22
11.616
.70
40.128
.30
68.640
1.84
97.152
!23
12.144
.77
40.656
31
69 168
1 85
97.680
.24
12.672
.78
41.184
32
69.696
1.86
98.208
.25
13 200
.79
41.712
33
70.224
1.87
98.736
.26
13.728
.80
42.240
.31
70.752
1.88
99.264
.27
14 256
.81
42.768
35
71.280
1.89
99.792
.28
14.784
.8-3
43.296
.36
71.803
1.90
100.320
.29
15.312
.83
43.824
.37
72.333
1.91
100.848
.30
15.840 !
.81
44.352
38
72.864
1.92
101.376
.31
16.368 1
.85
44.880
.39
73.392
1.93
101.904
.32
16 896
.86
45.408
.40
73.92)
1.94
102.432
.33
17.421
.87
45.936
.41
74.448
1.95
102.960
.34
17.952
.88
46.464
.42
74.976
1.96
103.488
.35
18.480
.89
46.992
.43
75.504
1.97
104.016
.36
19.008
.90
47.520 1
.44
76.032
1 98
104.514
.37
19.536
.91
48.048
.45
76.560
1.99
105.072
.38
20.064
.92
48.576
.46
77.088
2 oa
105.600
.39
20.592
.93
49.104
.47
77.616
2.10
110.880
.40
21.120
.94
49.632
.48
78.144
2.20
116.160
.41
21.648
.95
50.160
.49
78.672
2.30
121.440
.42
22 176
.96
50.688
.50
79 200
2.40
126.720
.43
22.704
.97
51.216
.51
79.728
2.50
132 000
.44
23.232
.98
51.744
.52
80.256
2.60
137.280
.45
23.760
.99
52.272
.53
80 784
2.70
142.560
.46
24.288
.00
52.800
.54
81.312
2.80
147.840
.47
24.816
.01
53.328
.55
81.840
2.90
153 120
.48
25.344
.02
53.856
.56
82.3(38
3.00
158.400
.49
25 872
.03
54.384
.57
82.896
3.10
163.6SO
.50
26.400
.04
54.912
.58
83.424
3.20
168.960
.51
26.928
.05
55.440
59
83.952
3.30
174.240
.52
27.456
.06
55.968
.60
84.480
3.40
179.520
.53
27.984
.07
56.496
.61
85.008
3.50
184.800
.54
28.512
.08
57.024
.62
85.536
3.60
190.0SO
.55
29.040
.09
57.552
63
86 064
3.70
195.360
.56
29.568
.10
58.080
.64
86 592
3.80
200.640
.57
30.096
1 11
58.608
.65
87.120
3.90
205.920
.58
30.624
1.12
59.136
.66
87.648
4.00
211.200
40 CIVIL ENGINEER'S FIELD-BOOK.
EXPLANATION OF TABLE XIV.
MINUTES EXPRESSED IN DECIMALS.
In the third column, under the heading of " 1° Curve, Arc,"
will be found the minutes given in the first column under
**0°," expressed in decimals of a degree, by simply putting
the decimal point two places to the left. For example:
6' = .10 and 54' = .90
Proof: 6' + 54' = 1°, and .10 + .90 = 1.00 - 1°.
In like manner all arcs to a one degree curve are expressions
of their intersections decimally.
TO FIND THE TANGENT.
Given the /, FBC — 42° 38', and the degree of curve AC =
5°, to find the T, BA and BC.
Find the number corresponding to the number of whole
degrees in the given /, at the top of the left or right hand
column, after which descend the column until the correspond-
ing minutes in the given I is reached, then on the same line
to the right or left under the heading " 5° Curve, Tan.," will
be found the required T = 447.301
Problem 38.
Given the /, FBC = 24° 50', and the degree of curve AC ~
4° 12', to find the l\ BA and BC.
Select the tan. to the given / from the curve column corre-
CURVE FORMULAE AND PROBLEMS. 41
spending to the number of whole degrees in the given curve.
Multiply this by the number of whole degrees in the given
curve, and divide the product by the given curve expressed
decimally.
Example.
1= 24° 50'. 4° Curve, Tan. = 315.435
Number of whole degrees = 4
Given curve = 4° 12' = 4.20
1261.740
1260
^Result, T —
1740
1680
600
TO FIND THE ARC.
Given the /, FBO = 56° 40', and the degree of curve AC =
9°, to find the A, AfabcC.
Find the number corresponding to the number of whole de-
grees in the given /at the top of the left or right hand column,
after which descend the column until the corresponding
minutes in the given 1 is reached, then on the same line to the
right or left under the heading " 9° Curve, Arc" will be found
the required A = 629.630
Problem 39.
Given the /, FBG = 96° 18', and the degree of curve AC =
2° 15', to find the A, AfabcC.
To the number of whole degrees in the given J affix the
fractional part expressed decimally; also to the number of
whole degrees in the given curve affix the fractional part ex-
pressed decimally, and divide the former by the latter. The
quotient will be the required A.
Example.
Given curve =~] J = 96° 18' — ("Quotient, A =
en curve =~"|
3 15' = 2.25J
2° 15' = 2.25 J 96.30 [J2.SQ = 4280 ft.
900
630
450
1800
42 CIVIL ENGINEERS FIELD-BOOK.
TO FIND THE SUB-DEFLECTION.
Given the c, Af = 90 ft., and the degree of curve AC = 5°,
to find the d, BAf.
Take half the given c — 45, and find the number correspond-
ing to it in the column headed " 5° Curve, Arc." Then in the
upper right or left hand corner of the table will be found the
degrees, beneath which on a line with the corresponding num-
ber will be found the minutes of the required d.
Thus the d, BAf = 2° 15'.
Problem 4O.
Given the C, Af = 60 ft., and the degree of curve AC = 4°
30', to find the d, BAf.
Multiply the degree of the given curve expressed decimally
by half the given c, and find the number corresponding to it
in the column headed "1° Curve, Arc." Then in the top
right or left hand corner of the table will be found the degrees
beneath which on a line with the corresponding number will
be found the minutes of the required d.
Example.
Given curve — 4° 30' = 4.5
|c = 30
Product 135.0 = l°21' = d.
TO FIND THE INTERSECTION.
GIVEN THE CURVE AND ARC.
Given the degree of the curve AC — 10°, and the A, AfabcG
= 485.000, to find the /, FBG.
Find the number corresponding to the given A in the
column headed "10° Curve, Arc." Then in the upper right
or left hand corner of the table will be found the degrees, be-
neath which on a line with the corresponding number will be
found the minutes of the required / = 48° 30',
CURVE FORMULAE AK I) PROBLEMS. 43
GIVEN THE CURVE AND TANGENT.
Given the degree of the curve AC = 7°, and the T, BA and
BC — 171.601, to find the 7, FBG.
Find the number corresponding to the given Tin the column
headed "7° Curve, Tan." Then in the upper right or left
hand corner of the table will be found the degrees, beneath
which on a line witL the corresponding number will be found
the minutes of the required I = 23° 40'.
TO FIND THE DEGREE OF CURVE.
GtVEN THE INTERSECTION AND TANGENT.
Given the /, FBC= 37° 33', and the T, BA and BG= 195.02,
to find the degree of the curve AC.
Find .the number corresponding to the number of whole
degrees in the given / at the top of the left or right hand
column, after which descend the column until the correspond-
ing minutes in the given / is reached; then on the same -line
to the right or left seek a number under the heading ''Tan."
corresponding to the given T\ at the top of the column in which
the corresponding number is found will be found the required
degree of curve = 10°.
GIVEN THE INTERSECTION AND ARC.
Given the /, FBC — 42° 18', and the A, AfabcC= 528.750,
to find the degree of the curve AC.
Find the number corresponding to the number of whole
degrees in the given /at the top of the left or right hand col-
umn, after which descend the column until the corresponding
minutes in the given /is reached; then on the same line to the
right or left seek a number under the heading " Arc" corre-
sponding to the given A ; at the top of the column in which
the corresponding number is found will be found the required
degree of curve = 8°.
TABLE XIV.
ACTUAL TANGENTS, AND ARCS EXPRESSED IN CHORDS OF
100 FEET FOR EVERY MINUTE OF INTERSECTION,
FROM 0° TO 90°, FROM A 1° CURVE TO
A 10° CURVE, INCLUSIVE.
TABLE XIV.— ACTUAL TANGENTS, ETC.
0°
M.
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
1
.830799
1.66667
.415415
.833333
.276962
.555556
.207740
.416667
.166211
.333333
2
1.66160
3.33333
. 830830
1.6666?
.553923
1.11111
.415480
.833333
.332421
.600007
3
2.49240
5.00000
1.24624
2.50000
.830885
1.66667 .623220
1.25000
.498032
1.00000
4
3.32320
6.66667
1.66166
3.33333
1.10785
2.22222 .830960
1.66607
.664842
1.33:J33
5
4.15400
8.33333
2.07707
4.16667
1.38481
2.777781.0:3870
2.08333
.83105:3
1 . 60007
6
4.98480
10.0000
2.49249
5.00000
1.66177
3 333331.24644
2.50000
. 997264
2.00000
7
5.81559
11.6667
2.90790
5.83:333
1.93873
3.888891.45418
2.91667
1.16347
2.33:333
8
6.64639
13.3333
3.32332
6.66667
2.21569
4.44444 1.60192
3.33333
1.32968
2.60007
9
7.47719
15.000(3
3.73873
7.50000
2.49265
5.00000 1.80900
3.75000
1.49590
3.00000
10 18.30799
16.6667
4.15415
8.33333
2.7G962
5.55556 2 07740
4.16667
1.66211
3.33333
11 9.16744
18.. 3333
4.58389
9.16667
3.05613
6.11111
2.29230
4.58333
1.83405
3.66667
13
10.0269
20.0000
5.01363
10.0000
3.34264
6.66667
2.50721
5.00000
2.00599
4.00000
13
10.8577
21.6667
5.42904
10.&333
3.61960
7.222222.71495
5.41667
2.17220
4.33:333
14
11.6885
23.3333
5.84446
11.6667
3.89656
7.777782.92269
5.83333
2.3:3841
4.66607
15
12 5193
25.0000
6.25987
12.5000
4.17352
8.333333.13043
6.25000
2.50462
5.00000
16
is.asoi
26.6667
6.67529
13.33J33
4.45049
8. 88889 '3. 3381 7
6.66067
2.67083
5.333:33
17
14 '.1809
28.3:333
7.09070
14.1667
4 72745
9.44444 3.54591
7.083:33
2.83704
5 C0667
18
15.0117
30.0000
7.50612
15.0000
5.00441
10.00003 75365
7.50000
3.00325
6.00000
19
15.8425
31.6667
7.92153
15.8333
5.28137
10.55563.96139
7.91667
3.16946
6.33333
2O
16.6733
a3. 3333
8.33695
16.6667
5.55833
11.11114.16913
8.33a33
3.33567
6.66667
21
17.5041
35.0000
8.75236
17.5000
5.83529
11.6667
4.37687
8.75000
3.50189
7.00000
22
18.a349
36.6667
9.16778
18.3333
6.11226
12.22224.58461
9.16667
3.66810
7.33333
23
19.1657
38.333:3
9.58319
19.1667
6.38922
12.77784.79235
9.58333
3.83431
7.66067
24
19.9965
40.0000
9.99861
20.0000
6.66618
13.33335.00009
10.0000
4.00052
8.00000
25
20.8273
41.6667
10.4140
20.8333
6.94314
13.88895.20783
10.4167
4.16673
8.33333
26
21.6581
43.33-13
10.8294
21.6667
7.22010
14.44445.41557
10.8333
4.33294
8.66607
27
22.4889
45.0000
11.2449
22.5000
7.49706
15.00005.62331
11.2500
4.49915
9.00000
28
23.3197
46.6667
11.6603
23.a333
7.77403
15.5556
5.83105
11.6667
4 66536
9.33333
29
24.1505
48.3333
12.0757
24.1667
8.05099
16.1111
6.0:3879
12.0833
4.83157
9.66667
30
24.9813
50.0000
12.4911
25.0000
8.32795
16.6667
6.24653
12.5000
4.99778
10.0000
31
25.8121
51.6667
12.9065
25.8333
8.60491
17.2222
6.45427
12.9167
5.16399
10.3333
33
26 6429
53.3333
13.3219
26.6667
8.88187
17.7778 6 66201
13.3333
5.3:3020
10.6667
33
27.5023
55.0000
13.7517
27.5HOO
9.16S38
18.33-336.87691
13.7500
5.50214
11.0000
34
28.3618
56.6667
14.1814
28.3333
J. 45 490
18.88897.09182
14.1667
5.67409
11.3333
35
29.1926
58.3333
14.5968
29.1667
9.73186
19.4444
7.29956
14 5833
5.84030
11.6667
36
30.0234
60.0000
15.0122
30.0000
10.0088
20.0000
7.50730
15.0000
6.00651
12 0000
37
30.8542
61.6667
15.4276
30.8333
10.2858
20.55567.71504
15.4167
6.17272
12.3333
38
39
31.6850
32.5158
63.3333
65.0000
15.8431
16.2585
31.6667
32.5000
10 5627
10.8397
21.1111 7.92278
21.66678.13052
15.8333
16.2500
6 33893
6.50514
12.6667
13.0000
4O
33.3466
66.6667
16.6739
33.3333
11.1167
22.22228.33826
16.6667
6.67135
13.3:333
41
34.1774
68.3333
17.0893
34.1667
11.3936
22.7778
8.54600
17.0833
6.83756
13.6667
43
35.0082
70.0000
17.5047
a5.oooo
11.6706
23.33338.75374
17.5000
7.00377
14.0000
43
35.8390
71.6667
17.9201
35.8333
11 9476
23.88898.96148
17.9167
7.16998
14.3333
44
36.6698
73 33:33
18.3356
36.6667
12.2245
24.44449.16922
18.3333
7.33619
14.6667
45
37.5006
75.0000
18.7510
37.5000
12.5015
25.0000,9.37096
18.7500
7.50240
15.0000
46
38.3314
76.6667
19.1664
38 3333
12.7784
25.55569.58470
19.1667
7.66861
15.3333
47 39.1622
78.3333
19.5818
39.1667
13.0554
26.1111 9.79244
19.5833
7.83482
15.6607
48 139.9930
80.0000
19.9972
40.0000
13 3324
26.6667110.0002
20.0000
8.00103
16.0000
49 40.8238
81.6667
20 4126
40.8333
13 6093
27.222210.2079
20.4167
8.16725
16.3333
5O
41.6546
83.3333
20.8280
41.6667
13.8863
27.777810.4157
20.8333
8.33346
16.6667
51
42 4&54
85.0000
21.2435
42.5000
14.1632
28.3333
10.6234
21.2500
8.49967
17.0000
53 43.3162
86.6667
21.6589
43.3333
14.4402
28. 8889! 10. 8311
21.6667
8.66588
17.3333
53 144.1470
88.3:333
22.0743
44 1667
14.717229 4444) 11. 0389
22.0833
8.83209
17 6667
54 !44 9778
90.0000
22.4897
45 0000
14. 9941 ! 30. 0000 11. 2466
22.5000
8.99830
18.0000
55 45.837291.6667
22.9194
45.8333
15.280630.555611.4615
22.9167
9.17024
18.3:333
56 46.696693.3338
23.3492
46.6667
15.5672
31.1111
11 6764
23.3333
9.34218
18.6007
57 : 47. 5274 ! 95. 0000
23.7646
47.5000
15.8441
31 6667
11. 8842 123.7500
9.50839
19.0000
58 48.3582,96.6667
24.180048.3333
16. 1211 132. 2222 12.0919 24.1667
9.07400
19.33:33
59 49.1890,98.3333
24.5954
49.1667 16. 3980,32.77781 12. 2996
24.58:33
9.84081119.6667
46
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
O«
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
.138529
.277778
.118758
.238095
.103933
208333
.092404
.185185
.083185
.166667
1
.27705?
.555556
.237516
.476190
.207866
.416667
.184808
.370370
.166370
.333333
2
.415580
.833333
.356274
.714285
.311799
.625000
.277212
.555556
.249555
.500000
3
.554115
1.11111
.475032
.952380
.415732
.833333
369617
.740741
.332740
.666667
4
.692643
1.38889
.593789
1.19048
.519666
.04167
.462021
.925926
.415925
.833333
5
.831172
1.66667
.712547
1 .42856
.623599
.25000
.554425
1.11111
.499110
1.00000
6
,969701
1.94444
.831305
1.66667
.727532
.45833
.646829
1.29630
.582295
1.16667
7
1.10823
2.22222
.950063
1.90476
.831465
.66667
.739233
1.48148
.665480
1.33333
8
1.24676
2.500001.06882
2.14286
.935398
.87500
.831637
1.66667
.748665
1.50000
9
1.38529
2.77778
1.18758
2.38095
1.03933
2.08333
.924041
1.85185
.831851
1.66667
10
1.52859
3.05556
1.31043
2.61905
1.14685
2.29167
1.01963
2.03704
.917904
1.83333
11
1.67190
3. 33333 1 1.43329
2.85714
1.2543?
2.50000
1.11522
2.22222
1.00396
2.00000
12
1.81043
3.61111
1.55204
3.09524
1.35830
2.70833
1.20763
2.40741
1.08714
2.16667
13
1.94895
3.88889
1.67080
3.33333
1.46223
2.91667
1.30003
2.59259
1.17033
2.33333
14
2.08748
4.16667
1.78956
3. 57143
1.56616
3.12500
1.39243
2.77778
1.25351
2.50000
15
2.22601
4.44444
1.90832
3.80952
1.67010
3.33333
1.48484
2.96296
1.33670
2.6666?
16
2.36454
4.72222
2.02707
4.04762
1.77403
3.54167
1.57724
3.14815
1.41988
2.83333
17
2.50307
5.00000
2.14583
4.28556
1 .87796
3.75000
1.66905
3.33333
1.50307
3.00000
18
2.64160
5.27778
2.26459
4.52381
1.981903.95833
1.76205
3.51&52
1 .58625
3.16667
19
2.78013
S. 55556
2.38335
4.70190
2.08583
4.16667
1.85446
3.70370
1.66944
3.33333
20
2.91866
5.83333
2.50211
5.00000
2.18976
4.37500
1.94686
3.88889
1.75262
3.50000
21
305718
6.11111
2.62086
5.23810
2 293704.58333
2.03920
4.07407
1.83581
3.66667
22
3.19571
6.38889
2.73962
5.47619
2.39763
4.79167
g. 13167
4.25926
1.91899
3.83333
23
3.33424
6.6666?
2.85838
5.71429
2.50156
5.00000
2.2240?
4.44444
2.00218
4.00000
24
3.47277
6.94444
2.97714
5.95238
2.60550|5 20833
2.31648
4.62963
2.08536
4.1666?
25
3.61130
7.22222
3.09590
6.19048
2.709435.416(7
2.40888
4.81481
2.16855
4.33333
26
3.74983
7.50000
3.21465
6.42856
2.81336 5.62500
2.50128
5.00000
2.25173
4.50000
27
3.88836
7.77778
3.33341
6.6666?
2.917295.83333
2.59369
5.18518
2.33492
4.66667
28
4.02688
8.05556
3.45217
6.90476
3.021236.04167
2.68609
5.37037
2.41810
4.83333
29
4.16541
8.33333
3.57093
7.14286
3. 12516
6.25000
2.77850
5.55556
2.50129
5.00000
3O
4.30394
8.61111
3.68969
7.38095
3.22909
6.45833
2.87090
5.74074
2.58447
5.16667
31
4.44247
8.88889
3.80844
7.61905
3.33303
6.66667
2.96331
5.92593
2.66766
5.33333
32
4.58578
9.16667
3.93130
7.85714
3.44054
6.87500
3.05890
6.11111
2.75371
5.50000
33
4.72908
9.44444
4.05415
8.09524
3,54806
7.08333
3.15449
6.29630
2.83977
5.6666?
34
4.86761
9.72222
4.17291
8.33333
3.65199
7.29167
3.24689
6.48148
2.92295
5.83333
35
5.00614
10.0000
4.29166
8.57143
3.75593
7.50000
3.33929
6.66667
3.00614
6.00000
36
5.14467
10.2778
4.41042
8.80952
3.85986
7.70833
3.43170
6.&5185
3.08932
6.16667
37
5.28320
10.5556
4.52918
9.04762
3.96379
7.91667
3.52410
7.03704
3.17251
6.33333
38
5.42172
10.8333
4.64794
9.28556
4.0677'3
8.12500
3.61651
7.22222
3.25569
6.50000
39
5.56025
11.1111
4.76670
9.52381
4.17166
8.33333
3.70891
7.40741
3.33888
6.66667
4O
5.69878
11.3889
4.88545
9.76190
4.27559
8.54167
3.80132
7.59259
3.42206
6.83333
41
5.83731
11.6667
5.00421
10.0000
4.37953
8.75000
3.89372
7.77778
3.50525
7.00000
42
5.97584
11.9444
5.12297
10.2381
4.48346
8.95833
3.98612
7.96296
3.58843
7.16667
43
6.11437
12.2222
5.24173
10.4762
4.58739
9.1666?
4.07853
8.14815
3.67162
7.33333
44
6.25290
12.5000
5.36049
10.7143
4.69133
9.37500
4.17093
8.3&S33
3.75480
7.50000
45
6.39143
12.7778
5.47924
10.9524
4.79526
9.58333
4.26334
8.51852
3.83799
7.6666?
46
6.52995
13.05565.59800
11.1905
4.8991919.79167
4.35574
8 70370
3.92117
7.83333
47
6.66848
13. 3333 ! 5. 716 ,"6
11.4286
5.00312
10.0000
4.44814
8.88889
4.00436
8.00000
48
6.80701
13.6111 5.83552
11.6667
5.10706
10.2083
4.54055
9.07407
4.08754
8.16667
49
6.94554
13.8889
5.95428
11.9048
5.21099
10.4167
4.63295
9.25926
4.17073
8.33333
5O
7.08407
14.1667
6.07303
12.1429
5.31492
10.6250
4.72536
9.44444
4.25391
8.50000
51
7.22260
14.44446.19179
12.3810
5.41886
10.8333
4.81776
9.62963
4.33710
8.60667
52
7.36113
14.72226.31055
12.6191
5.52279
11.0417
4.91017
9.81481
4.42028
8.83333
53
7.49965
15.00006.42931
12.8571
5.62672
11.2500
5.00257
10.0000
4.5034?
9.00000
54
7.64296
15.27786.55216
13.0952
5.73424
11.4583
5.09816
10.1852
4.58952
9.1066?
55
7.78627
15.55566.67501
13.3333
5.S417'611.666?
5.19375
10.3704
4. 67557
9.33333
56
7.92479
15. 8333 '6. 79377
13.5714
5.9456911.8750
5.28615
10.5556
4.75876
9.50000
57
8. 06&321 16. 1111:6. 91253
13.8095
6.04962 12.0833
5.37856
10.7407
4.84194
9.66067
58
8.20185 16.3889:7.03129
14.0476
6.15356 12. 291715. 47096
10.9259
4.92513
9.83333,
59
TABLE XIV. — ACTUAL TANGEKTS, ETC.
1°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
50.0000
Tan.
Arc.
Tan.
Arc.
25.0000
Tan.
Arc.
O
50.0198 100.00025.0108
16.6750
33.3333
12.5074
10.0070
20.0000
1
50.8500 101.667
25.4263
50.8333
16.9520! 33. 8889
12.7151
25.4167
10.173220.3333
2
51.6814 103.333
25.8417
51.6667
17.2289134.4444
12.9229
2.'). 8333 10. 3394
20.6667
3
52.5122105.000'26.2571
52.5000
17.5059:35.0000
13.1306
26.2500 10.5057
21.0000
4
53.3130
106.667
26.6725
53.3333
17.782835.5556
13.3383
26.666710.6719
21.3333
5
54.1738
108.333
27.0879
54.1667
18.059836.1111
13.5461
27.0833 10.83S1
21.6667
6
55.0046illO.000
27.50:33
55.0000
18.3368
36.6667
13.7538
27.5000 11.0013
22.0000
7
55.8354111.667
27.9187
55.8333
18.613737.2222
13.9616
27.9167
11.1705
22.3333
8
56.6662 113.333
28.3342
56.6667
18.8907
37.7778
14.1693
28.3333 11.3367
22.6667
9
57.4970
115.000
28.7496
57.5000
19.1677
38.3333
14.3770
28.7500 11.5029
23.0000
10
58.3278
116.667
29.1650
58.3333
19.4446
38.8889
14.584829.1667
11.6691 23 3333
11
59.1586
118.333
29.5804
59.1667
19.7216
39.4444
14.792529.5S33
11.835323.6667
18
59 . 9894 i 1 20 . 000 29 . 9958
60.0000
19.9985
40.0000
15.000330.0000
12.0016! 24. 0000
13
60.8202
121.667
30.4112
60.8333
20.2755
40.5556
15.2080
80.4167
12.167824.3333
14
61.6510
123.33330.8266
61.6667
20.5525
41.1111
15.4157
30.8333
12.3340
24.6667
15
62.4818
125.000
31.2421
62.5000
20.8294
41.6667
15.6235
31.2500
12.5002
25.0000
16
63.3126
1 26. 667 ! 31. 6575
63.3333
21.1064
42.2222
15.8312
31.6667
12.6664
25.3333
17
64.1721
128.333
32.0872
64.1667
21.3929
42.7778
16.0461
32.0833 12.8383
25.6667
18
65.0315
130.000
32.5170
65.00JO
21.6794
43.3333
16.2610
32.5000
13.0103
26.0000
19
65.8623
131.667
32.9324
65.8333
21.9564
43.8889
16.4688
32.9167
13.1765
26.3333
30
66.6931
133.333
33.3478
66.6667
22.2333
44.4444
16.6765
33.3333
13.3427
26.6667
21
67.5239
135.000
33.7632
67.5000
22.5103
45.0000
16.884--J
33.7500
13.5089
27.0000
22
68.3547
136. 667134.1786
68.3333
22.7873
45.5556
17.0920
34.1667
13.6751
27.3333
23
69.1855
138. 333 '34. 59 10
69.1667
23.0642
46.1111
17.2997
34.5833
13.8413
27.6667
24
70.0163
140.00035.0094
70.0000
23.3412
46.6667
17.5075
35.0000
14.0075
28.0000
25
70.8471
141'. 667
3.-). 4249
70.8333
23.6181
47.2222
17.7152
35.4167
14.1738
«8. 3333
36
71.6779
143.33335.8403
71.6667
23.8951
47.7778
17.9230
35.8333
14.3400
28.6667
21
72.5087
145.00036.2557
72.5000
24.1721
48.3333
18.1307
36.2500
14.5062
29.00CO
28
73.3395
146.667
36.6711
73.3333
24.4490
48.8889
18.3384
36.6667
14.6724
29.3333
29
74.1703
148.333
37.0865
74.1667
24.7260
49.4144
18.5462
37.0833
14.8386
29.6667
30
75.0011
150.000
37.5019
75.0000
25.0029
50.0000
18.7539
37.5000
15.0048
30.0000
31
75.8319
151. 667 3 r. 91 73
75.8333
25.2799
50.5556
18.961737.9167
15.171030.8333
32
76.6627
1 53. 333 ; 33. 3328
76.6667
25.5569
51.1111
19.1694
38.3333
15.3372
30.6667
33
77.4935
155.00038.7482
77.5000
25.8338
51.6667
19.3771
38.7500
15.5034
31.0000
34
78.3243
156.667
39.1636
78.3333
26.1108
52.2222
19.5849
39 1667
15.6696
31.3333
35
36
79.1551
79.9859
158.33339.5790
160.00039.9944
79.1667
80.0000
26.3878
26.6647
52.7778
53.3333
19.7926
20.0004
39.583315.8359
40.000016.0021
31.6667
32.0000
37
80.8167
161.66740.4098
80.8333
26.9417
53.8889
20.2081
40.416716.1683
32.3333
38
81.6475
163.333
40.8253
81.6667
27.2186
54.4444
20.4158
40.8333
16.3345
32.6667
39
82.5070
165.000
41.2550
82.5000
27.5052
55.0000
20.6307
41.2500
16.5064
33.0000
4O
83.3664
166.667
41.6847
83.3333
27.7917
55.5556
20.8456
41.6667
16.6784
33.3333
41
84.1972
168.33342.1001
84.1667
28.0686
56.1111
21.0534
42.0833
16.8446
33.6667
4 a
85.0280
170.000
42.5156
85.0000
28.3456
56.6667
21.2611
42.5000
17.0108
34.0000
43
85.8588
171.667
42.9310
85.8333
28.6225
57.2222
21.4689
42.9167
17.1770
34.3333
44
86 6896
173.333
43.3464
86.6667
28.8995
57.7778
21.6766
43.3333
17.3432
34.0667
45
87.5204
175.000
43.761887.5000
29.1765
58.3333
21.8843
43.7500
17.5094
35.0000
46
88.3512
176.667
44.1772
88.3333
29.4534
58.8889
22.0921
44.1667
17.6756
35.3333
47
89.1820
178.33344.592689.1667
29.7304
59.4444
22.2998
44.5833
17.8418
35.C667
48
90.0128
180.000
45. 0081 190.0000
30.0074
60.0000
22.5076
45.0000
18.0081
36.0000
49
90.8436
181.667
45.4235:90.8333
30.2843
60.5556
22.7153
45.4167
18.174336.3333
50
91.6744
183.333
45.838991.6667
30.5613
61.1111
22.9230
45.8333
18.340536.6667
51
92.5052
185.000
46.2543
92.5000
30.8382
61.6667
23.1308
46.2500
18.506737.0000
52
93.3360
186.667
46.669793.3333
31.1152
62.2222
23.3385
46.6667
18. 6729 '37. 3333
53
94.1668
188,333
47.0851 94.1667
31.3922
62.7778
23.5463
47.0833
18.8391; 37. 6667
54
94.9976
190.000 47.5005 95.0000
31.6691
63.3333
23.754047.5000
1 9. 0053 : 38. 0000
55
95.8284
191.667
47.916095.8333
31.9461
63.8889
23.9617
47.9167
19.171538.3333
56
96.6592
193.333
48.331496.6667
32.2230
64.4444
24.1695
48.3333 19.337738.6667
57
97.4900
1 95 . 000 48 . 7468 ' 97 . 5000
32. 5000 j 65. 0000
24 . 3772 48 . 7500: 1 9 . 5040 39 . 0000
58
98.3208
196.667
49.162298.3333
33.7770
65.5556
24 . 5850 49 . 1 667 i 1 9 . 6702 39 . 33S3
59
99.1802
198.33349.591999.1667
33.0635
66.1111
24.7999 49.5833 19.8421 39.6667
48
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
1°
Tan. Arc.
Tan.
7715004
Arc.
14.2856
Tan.
6.25749
Arc.
12.5000
Tan.
Arc.
Tan. Arc.
M.
8.34038 16.6667
5.56337
11.1111
5.00831 10.0000
8.47891 16.9444
7.26880 14.5238
6.36142
12.7083
5.65577
11.2963
5.0915010.1667
1
8.61744 17.2222
7.387'56 14.7619
6.46536
12.9167
5.74818
11.4815
5.17468 10.3333
8.75597 17.5000
7.50632 15.0000
6.56929
13.1250
5.84058
11.6667
5.25787 10.5000
3
8.89449
17.7778
7.62508 15.2381
6.67322
13.3333
5.93298
11.8519
5.3410510.6667
4
9.03302
18.0556
7.743*3 15.4762
6.77715
13.5417
6.02539
12.0370
5.42424 10.8333
5
9.17155
18.3333
7.86259 15.7143
6.88109
13.7500
6.11779
12.2222
5.5074211.0000
6
9.31008
18.6111
7.98135 15.9524
6.98502
13.9583
6.21020
12.4074
5.59061 11.1667
7
9.44861
18.8889
8.10011 16.1905
7.08895
14.1667
6.30260
12.5926
5.6737911.3333
8
9.58714
19.1667
8.21887
16.4286
7.19289
14.3750
6.39500
12.7778
5.75698 11.5000
9
9.72567
19.4444
8.33762
16.6667
7.29682
14.5833
6.48741
12.9630
5.8401611.6667
1O
9.86420
19.7222
8.45638 16.9048
7.40075
14.7917
6.57981
13.1482
5.92335 11.8333
11
10.0027
20.0000
8.57514 17.1429
7.50469
15.0000
6.67222
13.3333
6.00653
12.0000
13
10.141320.2778
8.69390
17.3810
7.60862
15.2083
6.76462
13.5185
6.08972
12.1667
13
10. 2798 120.5556
8.81266 17.6191
7.71255
15.4167
6.85703
13.7037
6.17290
12.3333
14
10.4183120.8333
8.93141 17.8571
7.81649
15.6250
6.94943
13.8889
6.25609
12.5000
15
10.5568
21.1111
9.05017118.0952
7.92042
15.8333
7.04183
14.0741
6.33927
12.6667
16
10.7001
21.3889
9.1730218.3333
8.02794
16.0417
7.13742
14.2593
6.42533
12.8333
17
10.8434
21.6667
9.29588J18.5714
8.13545
16.2500
7.23301
14.4444
6.51138
13.0000
18
10.9820
21.9444
9.41463
18.8095
8.23939
16.4583
7.32542
14.6296
6.59457
13.1667
19
11.1205
22.2222
9.53339 19.0476
8.34332
16.6667
7.41782
14.8148
6.67775
13.3S33
2O
11.2590
22.5000
9.65215 19.2856
8.44725
16.8750
7.51023
15.0000
6.76094
13.5000
21
11.3976
22.7778
9.77091119.5238
8.55119
17.0833
7.60263
15.1852
6.84412
13.6667
22
11.5361
23.0556
9.88967119.7619
8.65512
17.2917
7.69504
15.3704
6.92731
13.8333
23
11.6746
23.3833
10.008420.0000
8.75905
17.5000
7.78744
15.5556
7.01049
14.0000
24
11.8132
23.6111
10.1272
20.2381
8.86298
17.7083
7.87984
15.7407
7.09368
14.1667
25
11.9517
23.8889
10.2459
20.4762
8.96692
17.9167
7.97225
15.9259
7.17686
14.3333
26
12.0902
24.1667
10.3647
20.7143
9.07X185
18.1250
8.06465
16.1111
7.26005
14.5000
27
12.2287
24.4444
10.4835
20.9524
9.17478
18.3333
8.15706
16.2963
7.34323
14.6667
28
12.3673
24.7222
10.6022
21.1905
9.27872
18.5417
8.24946
16.4815
7.42642
14.8333
29
12.5058
25.0000
10.7210
21.4286
9.38265
18.7500
8.34186
16.6667
7.50960
15.0000
30
12.6443
25.2778
10.8397
21.6667
9.48658
18.9583
8.43427
16.8519
7.59279
15.1667
31
12.7829
25.5556
10.9585
21.9048
9.59052
19.1667
8.52667
17.0370
7.67597
15.3333
32
12.9214
25.8383
11.0772
22.1429
9.69445
19.3750
8.61908
17.2222
7.75916
15.5000
33
13.0599
26.1111
11.1960
22.3810
9.79838
19.5833
8.71148
17.4074
7.84234
15.6667
34
13.1984
26.3889
11.3148
22.6191
9.90232
19.7917
8.80389
17.5926
7.92553
15.8333
35
13.3370
26.6667
11.4335
22.8571
10.0062
20.0000
8.89629
17.7778
8.00871
16.0000
36
13.4755
26.9444
11.552323.0952
10.1102
20.2083
8.98869
17.9630
8.09190
16.1667
37
13.6140
27.2222
11.671023.3383
10.2141
20.4167
9.08110
IS. 1482
8.17508
16.3333
38
13.7573
27.5000
11.793923.5714
10.3216
20.6250
9.17669
18.3338
8.26114
16.5000
39
13.9006
27.7778
11.916723.8095
10.4291
20.8333
9.27228
18.5185
8.34719
16.6667
4O
14.0392
28.0556
12.035524.0476
10.5331
21.0417
9.36468
18.7037
8.43037
16.8333
41
14.1777
28.3333
12.154324.2856
10.6370
21.2500
9.45709
18.8889
8.51356
17.0000
42
14.3162
28.6111
12. 2730 124.5238
10.7409
21.4583
9.54949
19.0741
8.59674
17.1667
43
14.4547
28.8889
12.391824.7619
10.8449
21.6667
9.64190
19.2593
8.67993
17.3333
44
14.5983
29.1667
12.510525.000<>
10.9488
21.8750
9.73430
19.4444
8.76311
17.5000
45
14.7318
29.4444
12.629325.2381
11.0527
22.0833
9.82670
19.6296
8.84630
17.6667
46
14. 8703:29.7222
12.748025.4762
11.1567
22.2917
9.91911
19.8148
8.92948
17.8333
47
15.008930.0000
12.866825.7143
11.2606
22.5000
10.0115
20.0000
9.01267
18.0000
48
15.1474j30.2778
12.985625.9524
11.3645
22.7083
10.1039
20.1852
9.09585
18.1667
49
15. 2859 '30. 5556
13.104326.1905
11.4685
22.9167
10.1963
20.3704
9.17904
18.3333
5O
15.4244130.8333
13.2231
26.4286
11.5724
23.1250
10.2887
20.5556
9.26223
18.5000
51
15.563031.1111
13.341826.6667
11.676323.3333
10.3811
20.7407
9.34541
18.6667
52
15.701531.3889
13.460626.9048
11.780323.5417
10.4735
20.9259
9.42860
18.8333
53
15.840031.6667
13.579427.1429
11.8842s23.7'500
10.5659
21.1111
9.51178
19.0000
54
15.978631.9444
13.6981 27.3810
11.9881123.9583
10.6583
21.2963
9.59497
19.1667
55
16.1171 32. 2222J13. 81 69 27. 6191
12.0921 24.1667
10.7507
21.4815
9.67815
19.3333
56
16. 2556 ! 32. 5000
13.935627.8571
12.196024.3750
10.8431
21.6667
9.76134
19.5000
57
16.3941 32.7778
14.0544 28.0952
12.299924.5833
10.9356
21.8519
9.84452
19 6667
58
16.537533.0556
14.177228.3333
12.407524.7917
11.0311
22.0370
9.93057
19.8333
59
49
TABLE XIV. — ACTUAL TANGENTS, ETC.
2°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. Arc.
Tan.
Arc.
~1F
l6o~7040
200.000
50.0217
100.000
33.350066.6667
25.014850.0000
20.0140
40.0000
i
100.870
201 . 667
50.4371
100.833
33 627067.2222
25.222550.4167
20.1803
40.3333
3
101.701
203.333
50.8525
101.667
33.903967.7778
25.430250.8333
20.3405
40.0067
3
103.53-2
205.000
51.2679
102.500
34. 180968.3333
25.638051.2500
20.5127
41.0000
4
103.363
206.667
51.6833
103.333
•34.457808.8889
25.8457
51.6667
20.6789
41.3333
5
101.194
208.333
52.0988
104.107
34.734869.4444
26.0535
52.0833
20.8451
41.6667
6
105.021
210.000
52.5142
105.000
35.0118:70.0000
20.2012
52.5000
21.0113
42.0000
7
105.855
211.667
52.9296
105.833
35. 2887 70. 5556
26.4089
52.9107
21.1775
42.3333
8
100. G8G
213.333
53.8450
106.G-.i7
r>. 5657 71.1 111
20.6767
53.3333
21.3437
42.6667
9
107.517
215.000
53.7604
107.500
35.8427
71.6667
20.8844
53.75UU
21.5099
43.0000
1O
108.348
216.667
54.1758
108.333
36.119672.2222
27.0922
54.1667
21.6762
43.3333
11
109.178
218.333
54.5912
109.167
3(3.3960 72.7778
tf.aMKJ
54.5833
21.842443.0007
12
110 009
220.000
•)5.0067
110.000
36.07:35
73.3333
27.5070
55.0000
22.0080
44.0000
13
110.810
221.667
55.4221
110.833
36.9505
7.3.8889
27.7154
55.4167
22.1748
44.3333
14
111.671
223.333
>5.8'375
111.667
37.2275
7'4.4444
27.9231
55.8333
22.341044.6667
15
112.502
225.000
56.2529
112.500
37.50H
75.0000
28.1309
56.2500
•22.5072
45.0000
16
113.332
226.667
56.6633
113.333
37.7814
75.5550
28.3380
56.6007
22.673445.3333
17
114.163
228.333
57.0837
114. 107
38.0583
76.1111
28.5403
57.0833
22.8396
45.0007
18
114.994
230.000
57.4991
115.000
33.3353
76.GOG7
28.7'541
57.5-000
38.006846.0UOO
19
115.825
231.667
57.9146
115.833
38.6123
7? 222';
28.9018
57.9167
23.1721
40.3333
20
116.656
233 333
58.3300
116.887
38.8892
77.7778
29.1696
58.3333
23.3383
46.6667
31
117.515
235.000
58 . 7597
117.500
39.1757
78.3333
29.3345
53.7 500
23.5102
47.0000
22
118.375
236 667
59.1895
118.333
39.4623
78.8839
29.5994
59.1667
23. G821 47.3333
23
119.205
238.333
59.6049
119.167
39.7392
79.4414
29.8071
59.5833
23.8484
47.0667
24
120.036
240.000
60.0203
120.000
40.0102
80.0000
30.0119
60.0000
24.014048.0000
25
120.867
241.667
60.4357
120.833
40.2931
80.5556
•30.2226
60.4167
24.1808
48.3333
26
121.698
243.333
60.8511
121.667
40.5701
81.1111
30.4303
60.8333
24.347048.0007
27
122.529
245.000
61.2665
122.500
40 8471
81.6667
30.6381
61.2500
24.5132
49.0000
28
123.359
246.667
61.6819
123.333
41.1240
82. 22, '2
30.8158
61.6667
24.0794
49.3333
39
124.190
248.333
62.0974
124.167
41.4010
82.7778
•31.0536
62.0833
24.8456
49.6067
30
125.021
250.000
62.5128
125.000
41.6779
83.3333
31.2613
62.5000
25 0118
50.0000
31
125.852
251.667
62.9282
125.833
41.9549
83.8889
31.4690
62.9107
25.1780
50.3333
32
126.683
253.333
63.3436
126.667
42.2319
84.4444
'31.6768
63.3333
25.3443
50.6607
33
127.513
255.000
63.7590
127.500
42.5088
85.0000
31.8845
63.7500
25.510551.0000
34
1 28.344
256.667
64.1744
128.&33
42.7858
85.5556
32.0923
64.1667
25.G7'67
51.3333
35
129.175
258.333
64.5898
129.167
43.0628
86.1111
32.3000
64.5833
25.8429
51 . 6667
36
130.006
260.000
65.0053
130.000
43.3397
86.6607
32.5077
65.0000
•20.0091 52.0000
37
130.837
261.667
65.4207
130.833
43.6167
87.2222
32.7155
65.4107
20.1753
52.3333
38
131.667
263.333
65.8361
131.667
43.8936
87.7778
32.9232
65.8333
•26.3415
52.0(567
39
132.527
265.000
66.2658
132.500
44.1802
88.3333
33.1381
66.2500
26.5135
53.0000
40
133.386
266.667
66.6956
133.333
44.466788.8889
33.3530
06.6667
26.6854
53.3333
41
134.217
268.333
67.1110
131.167
44.7436:89.4444
33.5608
67.08:33
26.8516
53. (5007
42
135.048
270.000
67.5264
135.000
45.020G 90.0000
33.7085
67.5000
27.0178
54.0000
43
135.879
271.667
67.9418
135.833
45.29:590.5550
33.9702
67.9167
27.184054.3333
44
136.709
273.333
68.3572
13;>. 667
45.574591.1111
34.1840
68.3333
27.3502
54 . 6(567
45
137.510
275.000
68.7726
137.500
45.851591.6607
34.3917
68.7500
27.5165
55 0000
46
138.371
276.667
69.1881
138.333
46.128492.2222
34.5995
09.1667
'27.082755.3333
47
139.202
278.333
69.6035
139.167
16.4054 92.7778
34.8072
69.5833
27.8489
55.0067
48
140.033
280.000
70.0189
140.000
46.082493.3333
35-0149
70.0000
28.0151
56.0000
49
140.863
281.667
70.4313
140.833
16 959393.H889
35.2227
70.4167
28.1813
56.3333
5O
141.694283.333
70.8497141.007
17.2363
94.4444
35.4304
70.8333
28.3475
56.6667
51
142.525285.000
71.2651 142.500
47.5132
95.0000
85.638-2
71.250028.5187
57 0000
52
143.356286.667
71.6805 143.333
47.7902
95.5556
35.8459
71.66K7
28. (5799 57. 3333
53
144.18728S.333
72.0960 144.167
48.0672
96.1111
36.0536
72.0833
28.8461
57.6667
54
145.017290.000
72.5114 145.000
4H.3441
96.6667
36.2614
72.5000
29. 01 23 ! 58. 0000
55
145. 84 8 201.007
72. 9268 H 5. 833
48.6211
07.2222
36.4691
72.916729.1780
58.3333
56
146.679293.333
73.3422 146.067
48.8980
97.7778
36.6709
73.3333 29.3448 58.6607
57
147. 510 S95. 000
73.7576 147.500
49.1750
98 3333
36.8846
73.750029.5110
59.0000
58
148.341 296.6'V?
74.1730 148.383
49 . 4520 ! 98 . 8889 37 . 0923 74 . 1 667 29 . 6772
59.3383
59
149.200298.333
74.6028 149.167
49. 73^5 199.4444 137. 3072 > 74. 5833 29.8491 59.6667
50
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
2°
Tan. Arc.
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
16.080888.3333
14.3001 28.5714
12.5150
25.0000
11.1207
22.2222
10.0100
20.0000
(f
16.81 93 33 .6111 14.416838. 8095
1:3.0189
25.2083
11.2191
22.4074
10. QMS
20.1607
i
It). 95: 8 33.8889 14.5370 29.0470
12.7228
#3.4107
11.3115
22.5926
10.1830
20.8333
1 7 . 0963 34 . 1 607 j 14 . 0504 ^9 . 2850
12.8208
25.0250
11.4039
22.7778
10.2002
20.5000
3
17. 8349.34. 44441 14. 7T51 89.5:338
12.9307
25.8333
11.4904
88.9030
10.3494
20.6607
4
17.373484.7222
14.893929.7019
13.0340
20.041*;
11.5888
23.1482
10.4326
20.8333
5
17.511935.0000
15.012030.0000
13.1380
20.2500
11.0812
23.8333
10.5157
21.0000
G
17.65U5;85.8778
15.131430.2381
13.2425
20.4583
11.7736
23.5185
10.5989
21.16G7
7
17.789035.5550
15.XJ50230.4702
13.3404
20.0607
11.8600
23.7037
10.6821
21.3333
£
17.9275
35.8333
15.308930.7143
13.4504
20.8750
11.9584
23.8889
10.7653
21.5000
i)
18.0600
36.1111
15.487730.9524
13.5543
27.0833
12.0508
24.0741
10.8485
21.6667
10
18.SJ046l36.S889
15.600431.1905
13.6582
27.2917
12.1432
24.2593
10.9317
21.83:33
11
18.3431 30.0007
15.725231.4280
13.7622
27.5000
12.2356
24.4444
11.0148
22.0CCO
12
18.481030.9444
15.843931.6067
13.8061
27.7083
12.328024.6290
11.0980
22.1607
13
18.020237.2222
15.902731.9048
13.9700
27.9167
12.4204 24.8148
11.1812
22.3333
14
18.7587
37.5000
10.081532.1429
14.0740
28.1250
12.5128
25.0000
11.2644
22 5000
15
18.8972
37 . 7778
16.200232.3810
14.177'9
28.3333
12.6052
25.1852
11.3470
22.6667
16
19.035738.0550
10.319032.6190
14.2818
28.5417
12.6976
25.37'04
11.4308
22.8333
17
19.174338.3333
16.437732.8571
14.3858
28.7500
12.7900
25.5556
11.5140
23.00CO
18
19.3128
38.6111
16.556533.0952
14.4897
28.9583
12.8824
25.7407
11.5971
23.1067
19
19.4513
38.8889
16.675233.3333
14.5930
29.1667
12.9748
25.9259
11.6803
23.3333
20
19.5940
39.1607
16.7981 33.5714
14.7012
29.3750
13.0704
26.1111
11.7004
23.5000
21
19.7379
39.4444
16.921033.8095
14.8087
29.5833
13.1660
26.2963
11.8524
23.6667
22
19.8705
39.7222
17.039734.0470
14.9126
29.7917
13.2584
26.4815
11.9356
23.8333
23
20.0150
40.0000
17.158534.2856
15.0165
30.0000
13.3508
20.6667
12.0188
24.0000
24
20.1535
40.2778
17.277234.5238
15.1205;30.2083
13.4432
26.8519
12.1020
24.1667
25
20.2921
40.5550
17.396034.7619
15. 2244130. 4167
13.5356
27.0370
12.1852
24.3333
26
20.4300
40.8333
17.514735.0000
15. 3283 130.6250
13.6280
27.222-;
12.2684
84.5000
27
20.5091
41.1111
17.033535.2381
15.4323
30.8333
13.7204
27.4074
12.3515
24.6667
28
20.7070
41.3889
17.752335.4762
15.5362
31.0417
13.8128
27.5926
12.4347
24.8333
29
20.8-162
41.6667
17.871035.7143
15.6401
31.2500
13.9052
27 . 7778
12.5179
•25.0000
80
20.98-17
41.9444
17.989835.9524
15.7441
31.4583
13.9976
27.9030
12.0011
•J5.1GG7
31
21.1232
42.2222
18.108536.1905
15.8480
31.6667
14.0900
28.1482
12.6843
85.8333
32
21.2618
42.5000
18.227330.4280
15.9519
31.8750
14.1824
28.3333
12.7675
25.5000
33
21.4003
42.7778
18.346036.6667
16.0559
32.0833
14.2748
28.5185
12.8507
25.6667
34
21.5388
43.0556
18.464836.9048
16.1598
32.2917
14.3673
28.7C37
12.9338
25.8333
35
21.6773
43.3333
18.583637.1429
16.2037
32.5000
14.4597
28.8880
18.0170
26.0000
36
21.8159
43.6111
18.702337.3810
16.3077
3-'. 7083
14.5521
89.0741
13.1002
26.1667
37
21.9544
43.8889
18.8211 37.6190
16.4710
32.9167
14.6445
29.2593
13.1F34
26.3333
88
22.0977
44.1667
18.943937.8C71
16.5791
33.1250
14.7401
29.4444
13.2694
26.5000
39
22.2410
44.4444
19.0668 38.' 0952
16.0866
33.3333
14.8356
29.6296
13.3555
26.6G67
40
22. 3795| 44. 7222
19.185538.3333
16.7906
33.5417
14.9280
29. 814 e;
13.4387
26.8333
41
22.5181:45.0000
19.304338.5714
16.8945
33.7500
15.0205
30.0000
13.5219
27.0000
42
22.6566:45.2778
19.4231 38.8095
16.9984
33.9583
15.1129
30.1S52
13.6051
27.1G67
43
22.7951 45.5556
19.541839.0476
17.1024
34.1667
15.2053
30.8704
13.6882
27.3333
44
22 933745.8333
19.660639.2856
17.2063
34.3750
15.2977
30.5556
13.7714
27.5000
45
23.072246.1111
19.779339.5228
7.3102
31.5833
15.3901
30.7407
13.8546
27.6G67
46
23.210746.3880
19.8981 39.7619
7.4142
31.7917
15.4825
30.9259
13.937'8
27.F333
47
23.319246.0067
20.016840.0000
7.5181
35.0000
15.5749
31.1111
14.0210
28.0000
48
23.487840.9444
20.135640.2381
7.6220
35.2083
15.6673
31.2963
14.1042
28.1C67
49
23.6263
47.2222
20.254440.4762
7.72f>0
35.4167
15.7597
31.4815
14.? 874
88.3333
50
28.764$
47.5000
20.3731 40.7143
7.8299
35.6250
15.8521
31.C667
14.2705
28.5000
51
23.9031
47.7778
20.491940.9524
7.9338
35.8333
15.9445
31.8519
14.3537
28.6667
52
24.0419
-18.0556
20.610641.1005
18.0378
36.0417
16.036932.0370
14.4369
28.8333
53
24. ISO-!
48.3333
20.729441.4286
IS. 1417
36 2500
16.1293
32 2222
14.5201
29.0000
54
24. 31 SO
48.6111
20.848241.0667
18.2456
36.4583
16.2217
32 .'4074
14.6033
29.1G67
55
24.4575
48.8889
20.966941.9048
18.3406
30.6067
16.3141
32.5926
14.6865
29.3333
56
24.5900 49.1667
21.085742.1429
18.4535
36.8750
16.4065
32.7778
14.7696
29.5000
57
24.7315
49.444-1
21.204442.3810
18.5574
37.0833
16.4989
32.9630
14.8598
29.6667
58
24.8778
49.7222
21.327342.6190
18.0650
37.2917
16.5945
33.1482
14.9389
29.8333
59
51
TABLE XIV. — ACTUAL TANGENTS, ETC.
3°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tail. I Arc.
Tan. Arc.
Tan.
Arc.
O
50.060
oo.uoo
75.0325
150.000
0.0250 100. 000 ,37. 5222; 75. 0000 30.0211
60.0000
1
50.890
01.667
75.4479
150.8:33
0.3020 1UO. 556; 37. 7299 75.4167 30.187:-)
60.3333
2
51.721
03.33375.8633
151.667
0.5789
10 1 . 1 1 1 37 . 9376 ; 7 o . 833:3 30 . 8535
60.6667
3
52.552
05.000
6.2788
52.500
0.8559
101.667 38.1454 76.2500 30.5197
61.0000
4
53.383
06.667
6.6942
153.333
1.1328
102.22238 3531
76.666730.6859
61.3333
5
51.214
08.333
7.1090
154.167
ol.4098
102.778
38.5609
77.083330.8521
61 6607
6
55.044
10.000
7.5250
155.000
ol.6868
103.333
38.7686
77.500031.0183
62.0000
i
55.875
11.667
"7.9404
155.833
ol.9637
103.889
38.9763
77.916731.1845
62.3332
8
56.706
13.333
"8.3558
156.667
o2.2407
104.444
39.1841
78.3:33331.3508
62.6667
9
57.537
315.000
"8.7713
157.500
o2.5176
105.000
39.3918
78.750031.5170
63.0000
1O
58.368
316.667
79.1867
158.333
52.7946
105.556
39.5996
79.166731.6832
63.3333
11
59.198
318.333
"9.6021
159.167
53.0716
106.111
39.8073
79. 5833 '31. 8494
03.6667
12
60.029
320.000
80.0175
160.000
53.3485
106.667
40.0150
80.000032.0156
04.0000
13
60.860
321.667
80.4329
160.833
>3.6255
107.222
40.2228
80.410732.1818
64.3333
14
161.691
323.333
80.8483
161.667
53.9025
107.778
40.4305
80.8333:32.3480
64.6667
15
162.522
325.000
81.2637
162.500
54.1794
108.333
40.6383
81.250083.5142
65.0000
16
163.352
326.667
81.6792
163.333
54.4564
108.889
40.846081.666732.6804
65.3333
17
164.212
328.333
82.1089
164.167
54.7429
109.444
41.0609
82. 0833 ^2.8524
65.6667
18
165.071
330.000
82.5386
165.000
55.0294
110.000
41.2758
82.500033.0243
06.0000
19
165.902
331.667
82.9540
165.833
55.3064
110.556
41.4835
82.9167
33.1905
66.3333
2O
166.733
333.333
83.3695
166.667
55.5833
111.111
41.6913
83.3333
33.3567
66.6667
21
167.564
335.000
83.7849
167.500
55.8603
111.667
41.8990
83.7500
33.5230
67.0000
22
168.394
336.667
84.2003
168.333
56.1373
112.222
42.1068
84.1667
33.6892
67.3333
23
169.225
338.333
84.6157
169.167
56.4142
112.778
42.3145
84.5833
33.8554
67.6667
24
170.056
340.000
85.0311
170.000
56.6912
113.333
42.5222
85.0000
34.0216
68.0000
25
170.887
341.667
85.4465
170.833
56.9681
113.889
42.7300
85.4167
34.1878
68.3333
26
27
171.718
172.548
343.333
345.000
85.8620
86.2774
171.667
172.500
57.2451
57.5221
114.444
115.000
42.9377
43.1455
85.833334.354068.6667
86.250034.520269.0000
28
173.379
346.667
86.6928
173.333
57.7990
115.556
43.3532
86.6667
34.6864 69.3333
29
174.210
348.333
87.1082
174.167
58.0760
116.111
43.5609
87.0833
34.8526
69.6667
3O
175.041
350.000
87.5236
175.000
58.3529
116.667
43.7687
87.500035.0189
70.0000
31
175.872
351.667
87.9-390
175.833
58.6299
117.222
43.9764
87. 9 167 ,35.1851 j 70. 3333
32
176.702
353.333
88.3544
176.667
58. 9069! 117. 778
44.1842
88.333335.351370.6667
33
177.562
355.000
88.7842
177.500
59.1934 118.333
44.3991
88 . 7500 35 . 5232 71 . 0000
34
178.421
356.667
89.2139
178.333
59.4799 118.889
44.6140
89.166735.6952
71.33:33
35
179.252
358.333
89. 6293 1179.1 67
59.7569 119.444
44.8217
89.583335.8614
71 . 6667
36
180.083
360.000
90.0447
180.000
60.0338120.000
45.0294
90.000036.0276
72.0000
37
180.914
361.667
90.4602
180.833
60.3108
120.556
45.2372
90.416736.1938
72.3333
38
181.744
363.333
90.8756
181.66"
60.5877
121 .111
45.4449
90.833336.3600
72.6667
39
182.575
365.000
91.2910
182.500
60.8647
121.667
45.6527
91 . 2500
36.5262
73.0000
4O
183.406
366.667
91.7064
183.3a3
61.1417
122.222
45.8604
91 . 6667
36.6924
73.3333
41
184.23"
368.333
92 1218
184.16"
61.4186
122.778
46.0681
92.0833
36.8588
73.6667
42
185.068
370.000
92.5372
185.000
61.6956
123.333
46.2759
92.5000
37.0248
74.0000
43
185.898
371.667
92.9527
185.83.'
61.9725
123.889
46.4836
92.9167
37.1911
74.3333
44
186.729
373.333
93.3681
186.66~
62.2495
124.444
46.691493.3333
37.3573
74.6667
45
187.560
375.000
93.7835
187.500
62.5265
125.000
46.8991 93.7500
37.5235
75.0000
46
188.39
376.667
94.1989
188.333
62.8034
125.556
47.106894.1667
37.6897
75.3333
47
189.222
378. as:
94.6143
189.16"
63.0804 126.111
47.3146 94.5833
37.8559
75.6667
48
190.05'.
380.000
95.0297
190.00
63.3574 126.667
47.5223
95.0000
38.0221
76.0000
49
190.883
831. .66?
95. 4451 | 190. 833
63.63431127.222
47.7301
95.4167
38.1883
76.3333
50
191.714
383.333
95.8606
191. 66r
63.9113
127.77?
47.937895.833338.3545
76 .6667
51
192.574
38=). 000
96.2903
192.50C
64.1978
128.333
18.152796.250038.5265
77.0000
52
193.43:
386.66"
96.7200 193.33'
64.484:-]
128.88S
48 . 3676 96 . 6667 38 . 698 4
77.3333
53
194.264
388.333
97.1355 194.16~
64.7613
129.444
48.575497.083338.8646
77.6667
54
195.095
390.000
97.5509195.000
65.0382
130.000
48.7831 97.5000,39.0308
78.0000
55
185.935
391.667
97.96^3
195.83:
65.3152
130.556
48.990897.9167 39.1970
78.3333
56
196.756
393.333
98.3817 196.66"
65.5921
131.111
4 9 . 1 986 98 . 3333 39 . 3(533 78 . 6667
rj *
197.587
395.000
98.7971
197.500
65.8691
131.667
49 . 4063 98 . 7500 39 . 5295 1 79 . 0000
5£
198.418
396 667
99.2125 198.333
66.1461
132.222
49 . 61 41 i 99 . 1 667 39 . 6957 79 . 3333
59
199.249
398.333
99.6279,199.16'
6(5.4230
132.778 49.8218 99.5833 39.8619|79.6667
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve,
1O° Curve.
3°
Tan.
Arc.
Tan.
Arc.
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
M.
25.0211,50.0000
21.4501
42.8571
18.7725:37.5000
16.0901
33.3333
15.0249
W.Ot'OO
O
25.159750.2778
21.568943.0952
18.876437.7083
16.7825
33.5185
15.1081
30.1667
1
25.298250.5556
21.087043.3333
18'. 9803 37 9107
16.8749
33.7037
15.1913
30.3333
2
25.4367,50.8333
-21.800443.5714
19.084338.1250
16.9673
33.8889
15.2745
30.5000
3
25 575351.1111
-21.925243.8095
19.188238.3333
17.0597
34.0741
15.3577
30.6667
4
25.713851.3889
22.043944.0170
19. 2921! 38. 5417
17.1521
34.2593
15.4409
30.8333
5
25.852351.6667
22.162744.2850
19.396138.7500
17.2445
34.4444
15.5241
31.0000
6
25.990851.9444
22.2814
44.5238
19.500038.9583
17.3369
34.6296
15.0072
31.1007
7
26.129452.2222
22.4002
44.7619
19.603939 1667
17.4293
34.8148
15.6904
31.3333
8
26.2679
52 5000
22.5190
45.0000
19.7079
39.3750
17.5217
35.0000
15.7736
31.5000
9
26.4064
52.7778
22.6377
45.2381
19.8118
39.5833
17.6141
35.1852
15.8568
31.6667
1O
26.5450
53.0556
22.7565
45.4762
19.915739.7917
17.7065
35.3704
15.9400
31.8333
11
26.6835
53.3333
22.8752
45.7143
20. 0197 140.0000
17.7990
35.5550
16.0232
32.0000
12
26.8220
53.6111
2-2.9940
45.9524
20.123640.2083
17.8914
35.7407
16.1063
32.1007
13
26.9605
53.8889
23.1127
46.1905
20.2275
40.4107
17.9838
35.9259
16.1895
32.3333
14
27.0991
54.1667
23.2315
46.4286
20.3315
40.0250
18.0762
36.1111
16.27'27
32.5000
15
27 237'6
54.4444
23.3503
46.6607
20.4354
40.8333
18.1080
36.2963
16.3559
32.0007
16
27^3809
54.7222
23.4731
46.9048
20.5429
41.0417
18.2642
30.4815
16.4420
32.8333
17
27.5242
55.0000
23.5960
47.1429
20.6504
41.25CO
18.3597
36.6667
10.5280
33.0000
18
27.6627
55.277*
23.7147
47.3810
20.7544
41.4583
18.4522
36.8519
16.6112
33.1667
19
27.8013
55.5556
23.8335
47.6190
20.8583
41.6667
18.5446
37.0370
16.6944
33.3333
2O
27.9398
55.8333
23.9522
47.8571
•20.9622
41.8750
18.6370
37.2222
16.777'6
33.5000
21
28.0783
56.1111
24.0710
48.0952
21.0662
42.0833
18.7294
37.4074
10.8007
83.0007
22
28.2169
56.3889
24.1898
48.3323
21.1701
42.2917
18.8218
37.5926
16.9439
33>3£3
23
28.3554
56.0667
•24.3085
48.5714
21.2740
42.5000
18.9142
37.7778
".0271
34.0000
24
28.4939
56.9444
24.4273
48.8095
21.3780
42.7083
19.0066
37.9630
1".1103
34.1007
25
28.6324
57.2222
24 5460
49.0476
21.4819
42.9167
19.0990
38.1482
17.1935
34.3333
26
28.7710
57.5000
24.0648
49.2850
21.5858
43.1250
19.1914
38.3333
" 2707
34.5000
27
28.9095
57.7778
24.7835
49.5238
21.6898
43.3333
19.2838
38.5185
"^3599
34.G6C7
28
29.0480
58.0556
24.9023
49.7619
21.7937
43.5417
19.3762
38.7037
17.4430
34.8333
29
29.1866
58.3333
25.0211
50.0COO
21.8976
43.7500
19.4686
38.8889
".5262
35.0000
30
29.3-251
58.0111
25.1398
50.2381
22.0016
43.9583
19.5610
39.0741
".6094
35.1667
31
29.4630
58.8889
25.2586
50.47'62
22.1055
44.1667
19.6534
39.2593
".6920
35.3333
32
29.0069
59.1667
25.3814
50.7143
22.2130
44.3750
19.7490
39.4444
".7787
35.5000
33
29.7502
59.4444
25:5043
50.9524
22.3205
44.5833
19.8446
39.6296
".8047
35.6607
34
29.8888
59.7222
25.6230
51.1905
22.4245
44.7917
19.9370
39.8148
".9479
35.8333
35
30.0273
00.0000
25.7418
51.4286
22.5?84
45.0000
20.0294
40.0000
18.0311
30.0000
36
30.1658
60.2778
25.8006
51.6667
22.6323
45.2083
20.1218
40.1852
18.1143
30.1007
37
30.3043
60.5556
25.9793
51.9048
22.7363
45.4167
20.2142
40.3704
18.1974
30.3333
38
30.4429
60.8333
26.0981
52.1429
22.8402
45.6250
20.3066
40.5556
18.2806
36.5000
39
30.5814
61.1111
26.2168
5-2.3810
22.9441
45.8333
20.3990
40.7407
18.3638
36.6667
40
30.7199
61.3889
26.3356
52.6190
23.0481
46.0417
20.4914
40.9259
18.4470
36.8333
41
30.8585
61.6667
•26.4543
52.8571
23.1520
46.2500
20.5838
41.1111
18.5302
37.0000
42
30.9970
61.9444
26.5731
53.0952
23.2559
46.4583
20.6762
41.2963
18.6134
37.1007
43
31.1355
62.2222
26.6919
53.3333
23.3599
46.6667
20.7686
41.4815
18.6966
37.3333
44
31.2740
62.5000
26.8106
53.5714
23.4638
46.8750
20.8610
41.6667
18.7797
37.5000
45
31.4126
62.7778
26.9294
53.8095
23.5677
47.0833
20.9534
41.8519
18.8629
37.0007
46
31.5511
03.0556
•27.0481
54.0476
23.6717
47.2917
21.0458
42.0370
18.9461
37.8333
47
31.6896
63.3333
27.1669
54.2856
23.7756
47.5000
21.1382
42.2222
19.0293
38.0000
48
31.8282
63.6111
27.2857
54.5238
23.8795
47.7083
21.2307
42.4074
19.1125
38.1067
49
31.9667
63.8889
27.4044
54.7619
23.9835
47.9167
21.3231
42.5926
19.1957
38.3333
50
32.1100
64.1667
27.527'3
55.0000
24.0910
48.1-250
21.4186
42.7778
19.2817
38.5000
51
32.253304.4444
27.6501
55.2381
24.1985
48.3333
21.5142
42.9630
19.3678
38.6607
52
32.3018 04.7222
27.7089
55.4762
24.3024
48.5417
21.6066
43.1482
19.4510
38.8S33
53
32.530305.0000
27.8870
55.7143
24.4064
48.7500
21.6990
43.3333
19.5341
39.0000
54
32.00S9G5.2778
•28.0004
55.9524
24.5103
48.95H3
21.7914
43.5185
19.0173
39.1607 55
3-3. 8074,65. 555fi
•28.1251
50.1905
24.6142
49.1667
21.8839
43.7037
19.7005
39.333* 56
3-2.9)59 05.8333
•28.2-139
56.4280
24.7182
49.3750
21.9763
43.8889
19.7837
39.5000 57
38.0845l66.llll
28.36-27
50.00(57
24.8221
49.5833
22.0087
44.0741
19.8069
39.0007 58
33.223066.3889
28.4814
56.9048
24.9260
49.7917
22.1611
44.2593
19.9501
39.8333, 59
53
TABLE XIV. — ACTUAL TANGENTS, ETC.
40
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Are.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
200.079400.000
100.043200.000
66.7000 133.3:33
50.0295
100.00040.0281
80.0000
1
200.910401.667
100.459200.833
66.9770 133.889
50.2373
100.41740.1943
80.3333
3
201. 741' 403. 333
100.874
201.667
67.2539 134.444 50.4450 100. 833! 40. 3605
80.0007
3
302.572405.000
101.290
202.500
67 . 5309 1 35 . 000 50 . 6528
101.25040.5207
81.0000
4
203.403406.667
101 .705
203.333
67 8078
135.556 50.8605 101 .667140.6929
81.3333
5
204.233408.333
102.120
204.167
08.0848
136. 11 1)51. 0682
102.083
40.8592
81.6667
G
205.064410.000
102.536
205.000
68.3618
136 667:51.2760102.500
41.025482.0000
7
205.924411.667
102.966
205.833
08.6483
137.222!51.4909
102 917
41.1073
82.3333
8
206 783413 333
103 395
206.667
68 9348
137. 778! 51. 7 058
103.333
41.3692
82.0007
9
207.614
415.000
1U3.811
207.500
69.2117
138.333
51.9135
103.750
41.535583.0000
1O
208.445
416.667
104.226
208.333
69.4887
138.889
52.1213
104.167
41.7017
83 3333
11
209.275418 333
104.612
209.167
69.1657
139.444
52.3290
104.583
41.8679
83 6667
13
210.106420.000
105.057
210.000
70.0426
140000
52.5307
105.000
42.0341 84 0000
13
210.937
421.667
105 472
210.833
70.3196
140.556
52.7445
105 417
42.2003
84.3333
14
211.768423.333
105.888
211.667
70.5960
141.111
53.9522
105.833
42.36455
84.0007
15
212.599425.000
1 00.303
212.500
70 8735
141.667
53. 1600! 106. 250
42.532785.0000
16
213. 4291426. 667
106.719
213 333
71.1505
142.222
53 3077
106.667
42.698985.3333
17
214.260428.333
107.134
214.167
71.4274
142 778
53.5754
107.083
42.8051
85.0007
18
10
215.091 430.000
215.922431.667
107.549
107.965
215.000
215.833
71.7044
71.9814
143.333
143.889
53.7832
53.9909
107.500
107.917
43.0314
43.1976
86.0000
86.3333
30
216 753
433.333
108.380
216.667
72.2583
144.444
54.1987
108.333
43.3038
86.6607
31
217.583435.000
108.796
217.500
72.5353
145.000
54.4064
108.750
43.5300
87.0000
33
218. 4141430.6*57
109.211
218.333
72.8122
145.556
54.6141
109.107
43.690287.3333
33
219.274 438.333
109.641
219.167
73.09SS
140 111
54. 82901 109. 583
43 8681
87.0007
34
220.133
440.000
110.071
220.000
73.3853
146.667
55.0439
110.000
44.0401
88 00(50
35
36
220.1)64
221.795
441.667
443. 333
110.486
110.901
220. 833
221.667
73.6022
73.9392
147.222
147.778
55.2517 110.417
55.4594 110.833
44.2003
44.3725
88.3333
83.6667
37
222.626
445.000
111.317
222.500
74.2162
148.333
55.6672,111.250
44.5387
89.0000
38
223.456
446.067
111.732
223.313
74.4931
148.889
55.8749
111.667
44.7019
89.3333
39
224.287
448.3-13
112.148
224.167
74.7701
149.444
56.0827
112.083
44.8711
89.0007
30
225.118
450.000
112.563
225.000
75.0470
150 000
56.2904
112.500
45.0373
90.0000
31
225.949
451.667
112.979
225.883
75.3240
150.556
56.4981
112 917
45.2036
90.3333
33
226.780
453.333
113 394
226.667
75.6010
151.111
56.7059
113.333
45.3698
90.0007
33
227.610
455.000
113.809
227.500
75.8779
151.667
56.9136
113.750
45.5360
91.0000
34
228.441
456.667
114.225
228.333
76.1549
152.222
57.1214
114.167
45.7022
91.3333
35
2-29.272
458.333
114.640
229.167
76.4319
152.778
57.3291
114.583
45. 8684 1 91. 660 /
36
230.103
4GO.OOO
115.056
230.000
76.7088
153.333
57.5308
115.000
46 0346
92.0000
37
230.962461.667
115.485
230.833
76 9953
153.889
57.7517
115.417
46.2065
92.3333
38
23 1.822 '463. 333
115.915
231.667
77.2818
154.444
57.9006
115.833
46.3785
92.6067
39
232.652
465.000
116.330
232.500
77.5588
155.000
58.1744
116.250
46.5447
93.0000
4O
233.483
466.667
116.746
233.333
77.8358
155.556
58.3821
116.667
46.7109
93.3333
41
234.314468.333
117.161
234.167
78.1127
156.111
58.5899 117.083
46.8771
93.6007
43
43
235.145470.000
235.976| 471. 667
117.577
117.992
235.000
2a5. 833
78.3897
78.6666
156.667
157.222
58.7976117.500
59. 0053! 117. 917
47.043394.0000
47.2095194.3333
44
236.806473.333
118.408
236.667
78.9436
157.778
59.2131
118.333
47.3758
94.0007
45
237. 637 i 475. 000
118.823
237.500
79.2206
158.333
59. 4208| 118. 750
47.5420:95.0000
46
238.468476.667
119.233
238.333
79 4975
158.889
59.6286
119.167
47.7082
95.3333
47
239.299478.333
119.654
239.167
79.7745
159.444
59.8363119.583
47. 8744 195.6607
48
240.130480.000
120.069
240.000
80.0515
160.000
60.0440
120.000
48.0406
96.0000
49
240. 960 481. C67
120.485
240. 833
80.3284
100.556
60.2518
120.417
48.2068j96.3333
50
241.791
483.333
120.900
241.667
80 6054
161.111
60.4595
120.833
48.3730 96 6007
51
242.651
485.000
121.330
242.500
80.8019
101.6(37
60. 6744 1121.250
48.545097.0000
53
•343.510
486.667
121.760
243.333
81.1784
102.222
60.8893
121.667
48.7109
1)7.3333
53
.'44.341
488.333
122.175
244.107
HI. 4651
162.778
61 .0971
122.083
48.8831 [97.6667
54
215.172
490.000
122.590
245.000
81.7323
163.333
61.3048 122.500
49.045)398.0000
55
246.003
491 .667
123.006
215.833
S2.00U3
163.889
61.5125
122.917
49.2155
98.3333
r^/r»
346.833
493.333
123.421
246.607
82.2802
164.444
61.7203128.333
49.3817
98.6007
57
217.664
495.000
123.837
247.500
82.5632
165.00061.9280
128.750
49.5480
99.0000
58
218.495
496.667
124.252
248.333
82.8402
lG5.55602.ia58
124.167
49 7142
99.3333
59 249.326
498.333
124.607
249.107
83.1171
166.111 62.3435)124.583
49.8804 99.6067
54
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
4°
Tan.
Arc.
Tan.
Arc.
Tan.
25 0300
Arc.
50.0000
Tan.
2272535
Arc.
44.4444
Tan.
2070332
Arc.
M.
33.3615
66.6667
28.6002
57.1429
40.0000
O
33.5000
66.9444
28.7189
57.3810
25.1339
50.2083
22.3459
44.6296
20.1164
40.1667
1
88.6386
67.2222
28.8377
57.6190
^5 2378
M).4167
.'2.4383
44.8148
20.1996
40.3333
2
33.7771
67.5000
28.9564
57.8571
25.3418
50.6250
22.5307
45.0000
20.2828
40.5000
3
33.9156
67.7778
29.0752
58.0952
25.4457
50.8333
22.6231
45.1852
20.3660
40.6667
4
34.0542
68.0556
29.1940
58.3333
25.5496
51.0417
22.7155
45.3704
•20.4492
40.8333
5
34.1927
68.3883
29.3127
58.5714
26 6536
51.2500
22.8079
45.5556
20.5324
41.0000
6
34.3360
68.6111
29.4356
58.8095
25.7611
51.4583
22.9035
45.7407
20.6184
41.1667
7
31.4793
68.8889
29.5584
59.0476
25.8686
51 . 6667
22.9991
45.9259
20.7045
41.3333
8
34.6178
69.1667
29.6772
59.2856
25.9725
51.8750
23.0915
46.1111
20.7877
41.5000
9
34.7564
69.4444
29.7959
59.5238
26.0765
52.0833
23.1&39
46.2963
20.8708
41.6667
10
34.8049
69.7222
29.914759.7619
26.1804
52.2917
23.276346.4815
20.954041.8333
11
35.0334
70.0000
30.0335
60.0000
26.2843
52.5000
23.368746.6667
21.037242.0000
12
35.1719
70.277830.1522
60.2381
26.3883
52.7083
23.4611 46.8519
21.120442.1667
13
35.3105
70.555630.2710
60.4762
26.4922
52.9167
23. 5535! 47. 0370
21.2036 42.3333
14
35.4490
70.83:53:30.3897
60.7143
26.5961
53.1250
23.6459I47 2222
21.2868;42.5000
15
35.5875
71.1111 30. 5085| 60. 9524
26.7000
53.3333
23.7383
47.4074
21.369942.6667
16
35.7261
71.3889
30. 6272! 61. 1905
26.8040
53.5417
23.8307
47 5926
21. 4531 J42. 8333
17
35.8646
71.6667
30.7460
61.4286
26.9079
53.7500
23.9231
47.7778
21. 5363 '43.0000
18
30.0031
71.9444
30.8648
61.6667
27.0118
53.9583
24.0155
47.9630
21.6195
43.1667
19
36.1416
72.2222
30.9835
61.9048
27.1158
54.1667
24.1079
48.1482
21.7027
43.3333
20
36.2802
72.5000
31.1023
62.1429
27.2197
54.3750
24.2003
48.3333
21.7859
43...000
21
86.4187
72.7778
31.2210
62.3810
27.3236
54.5833
24.2927
48.5185
21.8691
43.6667
22
36.5620
73.0556
31.3439
62.6190
27 4312
54.7917
24.38^3
48.7037
21.9551
43.8333
23
36.7053
73.3333
31.4667
62.8571
27.5387
55.0000
24.4839
48.8889
22.0412
44.0000
24
36.8438
73.6111
31.5855
63 095:.
27.6426
55.2083
24.5763
49.0741
22.1243
44.1667
25
36.982-1
73.8889
31.7043
63 3333
27.7465
55.4167
24.6687
49.2593
22.2075
44.3333
26
37.1209
74.1667
31.8230
63.5714
27.8505
55.6250
24.7611
49.4444
22.2907
44.5000
27
37.2594
74 4444
31.9418
63.8095
27.9544
55.8333
24.8535
49.6296
22.3739
44.6667
28
37.3380
74.7222
32.0605
64.0470
28.0583
56.0417
24.9459
49.8148
22.4571
44.8333
29
37.5365
75.0000
32.1793
64.2R5T
28.1623
56.2500
25.0383
50.0000
22.5403
45 0000
30
37.675C
75 2778
32.2980
64.5238
28.2662
56.4583
25 1307
50.1852
22.6235
45.1667
31
37 8135
75.5556
32.4168
64.7619
28.3701
56.6667
25.2231
50.3704
22.7066
45.3333
32
37.9521
75.8333
32 5356
65.0000
28.4741
56.8750
25.3155
50.5556
22.7898
45.5000
33
38.0906
76.1111
32.6543
65.2381
28.5780
57.0833
25.4079
50.7407
22.8730
45.6667
34
38.2291
70.3889
32.7731
65.4762
28 68T9
57.2917
25.5004
50.9259
22.9562
45.8833
35
3S 367?
76 6667
32.8918
65.7143
28.7859
57.5000
25 5928
51.1111
23.0394
46.0000
36
38.5110
76 9444
33.0147
65 9524
28.8934
57.7083
25.6883
51.2963
23.1254
46.1667
37
38.6513
77.2222
88.1875
66.1905
29.0009
57.9167
25.7839
51 4815
23.2115
46.3333
38
38.7928
77.5000
33 2563
66.4286
29.1048
58.1250
25.8763
51.6667
23.2947
46.500U
39
38.9313
77.7778
33.3751
66.6667
29.2088
58.3333
25.9687
51.8519
?3.3779
46.6667
40
39.0699
78.0556
33.4938
66.9048
29.3127
58 5417
26.0612
52.0370
23.4610
46.83^3
41
39.2084
78.8388
33 6126,67.1429
29.4166
58.7500
26.1536
52.2222
23.5442
47.0000
42
39.3469
78.6111
88.781367.8810
29.5206
58.9583
26.2460152.4074
23.6274
47.1667
43
39.4854
78.8889
33. 8501 j 67. 61 90
29.6245
59.1667
26.338452.5926
23.7106
47.3333
44
39.6240
79.1667
33. 9088 «7. 8571
29.7284
59.3750
26. 4308! 52. 7778
23.7938
47.5000 45
39 7625
79.4444
34.087668.0952
29.8324
59.5838
26. 5232 ! 52. 9630
23. 877047.66C7 4G
39.9010
79.7222
34 2064 68.8333
29.9363
59.7917
26.6156J 53. 1482
23 960247.83:i3 47
40.0396
80.0000
34.3251 68.5714
30.0402
60.0000
26.7080 £3.8383
24.043348.0000
48
40 1781
80 2778
34.4439
68.8095
30.1442
60.2083
26.8004.53.5185
24.1265
48.1667
49
40.3166
80.5556
34.5626
69.0476
30.2481
60.4167
26.892853.7037
24.2097
48.3333
5O
40.4580
80.833331.685569.2856
80.3556
60.62.M)
26.988453.8889
24.2958 48 5000
51
40 6032
85.1111
34.808369.5238
30.4631
60.8333
27.084054 0741
24.381848.6667
52
40.7418
81.3889
31.9271 69.7619
30.5671
61.0417
27.176454.2593
24.465048.8333
53
40.8803
81. 6667! 35 045970.0000
30 6710
61.2500
27.2688 54.4444
24.548249.0000
54
41.0188
81. 9444 35. 1646 70. 23S1
30.7749
61.4583
27. 361 2 54.629*
24.6314 49 1667
55
41.1573
82. 2222 35. 2834 70. 47(5-.
30.8789
61 .66(57
27.4536 54.8148
24.714649.3333
50
41.2959
82.500035.4021 70. 7H3
30.9828
61.8750
27.546055.0000
24.797749.5000
57
41.4344
82 7778 35.5209 70.9524
31.0867
62 0833
27.638455.1852
24.880949.6667
58
4 1 . 5?<J$83 . 0556!35 . 6396 71 . 1 905 31 . 1 907
62.2917
27.7308 55.3704
24.9641 49.8233
59
55
TABLE XIV. — ACTUAL TANGENTS, ETC.
5°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
o
Tau.
2~50.157
Arc.
sooTooo
Tan.
125^083
Arc.
2507UOO
Tan.
88.3941
Arc.
feliTtiij?
Tan .
04.5512
Arc.
1257000
Tan.
50.0466
Arc.
iooTooo
1
250.987
501.667 125.498
250.833
83.6711
1(17.222
02.7590
125.417150.2128
100.333
2
251.818
503.333125.914
251.667
83.94HO
Hi?. 778
62.9667
125.83350.3790
100.667
3
252.649
505.000126.329
252.500
84.2250
16H.333
03.1745
126.25050.5452
101.000
4
258.480
506.667
126.745
253.333
84 5019
168.889
U3.8S22
126 66750.7114
101.333
5
254.339
508.333
127.174
254.167
84.7885
J 69. 444
63.5971
127.083
50.8834
101.667
6
255. 1W
510.000
127.604
255.000
85.0750
17U.OOO
63.8120
127.500
51.0553
102.000
7
256.029
511.667J128.019
255.833
05.3519
170.556
64.0198
127.91?
51.2215
102.333
8
256.860
513. 333! 128. 435
256.66?
85.6289
171.111
64.2275
128.333
51.3877
102.667
9
257.691
515.000
128.850
257.500
85.9058
171.667
64.4352
128.750
51.5539
103.000
10
258.522
516.667
129.266
258.333
86.1828
172.222
64.6430
129.167
51.7202
103 333
11
259.353
518.333
129.681
259.167
86.4598
172.778
64.8507
129.583
51.8864
103.667
12
260 183
520.000
130.096
260.000
86 7'367
173.333
65.0585
130.000
52.0526
104.000
13
261 .014
521.667
130.512
260.833
87.013?
173.889
65.2662
130.417
52.2188
104.333
14
261.845
523 333,130 927
261.66;
87.290?
174.444
65.4739
130.833
52.3850
104.667
15
262.676
525.000 131.343
262.500
87.5676
75.000
65.6817
131.250
52.5512
105.000
16
263.507
526.667
131.758
263.333
87.8446
75.556
65.8894
131.667
52.7174
105.333
17
26 4. &37
528.333
132.174
264.16?
88.1215
76.111
66.0972
132.083
52.8836
105.667
18
265.168
530.000
132.589
265 000
88.3985
76.66',
66 . 3049
132.500
53.0498
106.000
19
266.028
531.667
133.019
265.833
88 6850
77.222
66.5198
132.91?
53.2218
106.333
20
266.887
533.333
133.448
266.66?
88.9715
177.778
66.7347
133.333
53.3937
106.667
21
267.718
535.000
133.864
267.500
89.2485
78.333
66.9421
133.750
53.5599
107.000
22
268.549
536.667
131.279
268.333
89.5254
178.889
67.1502
134.16?
53.7261
107.333
23
269.379
538. 333
134.695
269.167
89.8024
179.444
67.3579
134.583
53.8924
107.667
21
270.210
540.000
135.110
270.000
90.0794
180.000
67.5657
135.00054.0586
108.000
25
271.041
541 667
135.526
270 833
90.3563
180.556
67.7734
135.417
54.2248
108.333
2G
271.872
543.333
135.941
271.667
90.6:333
181.111
67.9811
135 833
54.3910
108.667
27
272.703
545.000
136.356
272.500
90.9103
181 . 667
68.1889
136 250
54.5572
109.000
28
273! 533
546.667
136.772
273.333
91.1872
182 222
68.3966
136.667
54.72-34
109.333
29
274.364
548.333
137.18?
274.16?
91.4642
182.778
68.6044
137.083
54.8896
109.667
30
275.195
550.000
137.603
275.000
91.7411
183.333
68.8121
137.500
55.0558
110.000
31
276.055
551.667
138.032
275.833
92.0277
183.889
69.0270
137.917
55.2278
110.333
32
276.914
553.333
138.462
276.667
92.3142
184.444
69.2419
138.333
55.3997
110.667
33
277.745
555.000
138.877
277.500
92.5911
185.000
69.4496
138.750
55.5659
111.000
34
278.576
556.667
139.293
278.333
92.8681
185.556
69.6574
139.167
55.7321
111.333
35
279.406
558.333
139.708
279.167
93.1451
186.111
G9.8651
139.583
55.8983
111.667
36
280.237
560.000
140.124
280.000
93.4220
186.66?
70.0729
140.000
56.0646
112.000
37
281.068
561.667
140.539
280.833
93.6990
187.222
70.2806
140.417
56.2308
112.333
38
281.899
563.333
140.955
281.667
93.9759
187.778
70.4883
140.833
56.3970
112.667
39
282.730
565.000
141.370
282.500
94.2529
188.333
70.6961
141.250
56.5632
113.000
40
283.560
566.667
141.785
283.333
94.5299
188.889
70.9038
141.667
56.7294
113.333
41
284.391
568.333
142.201
284.16?
94.8068
189.444
71.1116
142.083
56.8956
113.667
42
285.222
570.000
142.616
285.000
95.0838
190.000
71.3193
142.500
57.0618
114.000
43
286.053
571.667
143.032
285.833
95.360?
190.556
71.5270
142.917
57.2280
114.333
44
286.884
573.333
143.447
286.667
95.63?7
191.111
71.7348
143.333
57.3942
114.667
45
287.743
575.000
143.877
287.500
95.9242
191.66?
71.9497
143.750
57.5662
115.000
46
288.602
576.667
144.307
288.333
96.2107
192.222
72.1646
144.167
57.7381
115.333
47
289.433
578.333
144.722
289.167
96.4877
192.778
72.3723
144.583
57.9043
115.607
48
290.264
580.0001 145. 137 290. 000
96.7647
193.333
72.5801
145.000
58.0705
116.000
49
291.095
581.667
145.553
290.833
97.0416
193.889
72.7878
145.417
58.2368
116.333
5O
291.926
583.333
145.968
291.667
97.3186
194.444
72.9956
145.833
58.1030
116.66?
51
292.756
585.000(146.384
292.500
97.5955
195.000
73.203-3
146.250:58.5092
117.000
52
293.587
586.667 146.799
293.333
97.8725
195.556
73.4110
146.667 58.7354
117.333
53
294.418
588.333147.214294.167
98.1495
196.111
73. (5 188 147.0S358.9016
117.607
54
295.219
590 . 000 147 . 630 295 . 000
98.4264
196.667
73.S265 147.50059.0678
118.000
55
296.080
591.667 148.045295.833
98.7034
197.222
74.0343 147. 917:59. 2340
118.333
56
296.910
593.333 148.461 296.607
98.9803
11)7.778
74.2420il48.H33 59.4002
118.66?
57
297.770
595 . 000 1 48 . 890 297 . 500
99.2669; 98.333
74. 4569 i 148. 75059. 5722
119.000
58
298.629
596.667 149.320,298.333
99.5534 198.889
74. 671 S' 149. 107 59. 7441
119.333
59
299.460
598.333149.736299.167
99. 8303! 199. 444
74.8795; 149.583 59.9103 119.067
56
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
5°
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
M.
41.711483.3333
!5.7584
71.4286
31.294662.5000
27.8232
55.5556
25.047350.0000
O
41.850083.6111
15 . 8?7'2
71.6667
1.398562.7083
27.915655.7407
25. 1305 ;50. 1667
1
41.988583.8889
35.995971.9048
31.502562.9167
28.008055.9259
25. 2137 EO. 3333
42.127084.1667
36.1147
72.1429
31.606463.1250
28.1004
56.1111
25.296950.5000
3
42 265684 4444
36.233472.3810
31.710363.3333
28. 1 928 '' 56. 2963
25.380050.666?
4
42.408984.7222
36.3563
72.6190
31.817963.541?
28.288456.4815
25.4661
50.8333
5
42.552285.0000
36.4791
72.8571
31.925463.7500
28.384056.666?
25.5521
51.0000
6
42.690785.2778
36.5979
73.0952
32.029363.9583
28.476456.8519
25.6353
51.1667
7
42.8292
85.5556
36.716773.3333
32.133264.166?
28.5688
57.0370
25.7185
51-. 3333
8
42.9678
85.8333
36.8354
73.5714
32.2372
64.3750
28.6612
57.2222
25.8017
51.5000
9
43.1063
86.1111
36.9542
73.8095
32.3411
64.5833
28.7536
57.4074
25.8849
51.6667
1O
43. 2448 i 86. 3889
37.0729
74.0476
32.4450
64.7917
28.8460
57.5926
25.9681
51.8333
11
43. 3833 1 86. 6667
37.1917
74.2856
32 5490
65.0000
28.9384
57.7778
26.0513
52.0000
13
43.5219
86.9444
37.3105
74.5238
32.652965.2083
29.0308
57.9630
26.1344
52 166?
13
43.6604
87.22-22
3". 4292
74.7619
32.7568
65.4167
29.1232
58.1482
26.2176
52.3333
14
43 7989
87.5000
3". 5480
75.0000
32.8608
65.6250
29.2156
58.3333
26.3008
o2.5000
15
43.D375
87.7778
3". 6667
75.2381
32.9647
65.8333
29.3080
58.5185
26.3840
52.6667
16
44.0760
88 0556
3 -.7855
75.4762
33.0686
66.041?
29.4004
58.7037
26.4672
52.8333
17
44.2145
88.3333
3~.9042
75.7143
33.1726
66.2500
29.4928
58.8889
26.5504
53.0000
18
44.3578
88.6111
38.0271
75.9524
33.2801
66.4583
29.5884
59.0741
26.6364
53.1667
19
44.5011
88.8889
38.1499
76.1905
33.3876
66.6667
29.6840
59.2593
26.7225
53.3333
2O
44.639?
89.166?
38.2687
76.4286
33.4915
66.8750
29.7764
59.4444
26.8057
53.5000
21
44.7782
89.4444
38.3875
76.666?
33.5955
67.0833
29.8688
59.0296
26.8888
53.0667
22
44.9167
89.7222
38.5062
76.9048
33.6994
67.291?
29.9612
59.8148
26.97'20
53.8333
23
45.0552
90.0000
38.6250
77.1429
33.8033
67.5000
30.0536
60.0000
27.0552
54.0000
24
45.1938
90.2778
38.7437
77.3810
33.90?3i67.708b
30.1461
60.1852
27.1384
54.1667
25
45 3323
90.5556
38. 8625 ! 77. 61 90
31.0112
67.9167
30.2385
60.3704
27.2216
54.3333
26
45.4708
90.8333
38.9813
77.8571
34.1151
68.1250
30.3309
60.5556
27.3048
54.5000
27
45.6094
91.1111
39 100078.0952
34.2191 68.3333
30.4233
60.7407
27.3880
54.666?
28
45.7479
91.3889
39.2188 78.3333
34.3230
68.541?
30.515?
60.9259
27.4711
54.8333
29
45.8864
91.666?
39.337578.5714
34.4269
68.7500
30.6081
61.1111
27.5543
55.0000
30
46.029?
91.9444
39.4604
78.8095
34.5345
68.9583
30.7037
61.2963
27.6404
55.166?
31
46.1730
92.2222
39.5832
79.0476
34.6420
69.1667
30.7993
61 .4815
27.7264
^5.3333
32
46.3116
92.5000
39.7020
79.2856
34.7459
69.3750
30.8917
61.6667
27.8096
55.5000
33
46.4501
92.7778
39.820779.5238
34.8498
69.5833
30.9841
61.8519
•27.8928
55.6667
34
46.5886
93.0556
39.9395
79.7619
34.9538
69.7917
31.0765
62.0370
27.9760
55.8333
35
46.7271
93.3333
40.058380.0000
35.057?
70.0000
31.1689
62.22-22
28.0592
56.0000
36
46.865?
93.6111
40.1770
80.2381
35.1616
70.2083
31.2613
62.4074
28.1424
56.1667
37
47.0042
93.8889
40.295880.4762
35.2656
70.416?
31.3537
62.5926
28.2255
56.3333
38
47.142?
94.166?
40.4145
80.7143
35.3695
70.6250
31.4461
62.7778
28.308?
56.5000
39
47.2813
94.4444
40.5333
80.9524
35.4734
70.8333
31.5385
62.9630
28.3919
56.6667
40
47.4198
94.7222
40.6521
81.1905
35.5774
71.0417
31.6309
63.1482
28.4751
56.8333
41
47.5583
95.0000
40.770881.4286
35.6813
71.2500
31.7233
63 . 333-'
28.5583
57.0000
42
47.6968
95.2778
40.8896
81.666?
35.7852
71.4583
31.8157
63.5185
28.6415
57.166?
43
47.8354
95.5556
41.008381.9048
35.8892
71.6667
31.9081
63.703?
28.7247
57.3333
44
47.978?
95.8333
41.1312
82.1429
35.9967
71.8750
32.0037
63.8889
28.8107
57.5000
45
48.1220196.1111
41.2540
82.3810
36.1042
72.0833
32.0993
64.0741
28.8968
57.6667
46
48.2605| 96. 3889
41.372882.6190
36.2081
72.291?
32.191764.2593
28.9799
57.8333
47
48.3990,96.666?
41.4915
82.8571
36.3121
72.5000
32.2841 64.4444
29.0631
58.000(
48
48.5376 96.9444
41.6103
83.0952
36.4160
72.7083
32.376564.6296
29.1463
58.1667
49
48.6761
97.2222
41.7291
83.3333
36.5199
72.916?
32.4689
64.8148
29.2295
58.3333
50
48.8146:97.5000
41.8478
83.5714
36.6239
73.1250
32.561365.0000
29.3127
58.5000
51
48.953297.7778
41.966683.8095
36.7278
73.3333
32.6537
65.1852
29.3959
58.666?
52
49.0917^98.0556
42.0853
84.0476
36.8317
73.5417
32.7461
65.3704
29.4791
58.8333
53
49.230298.3333
42.2041
84.28H6
36.9357
73.7500
32.8385
65.5556
29.562259.000f
54
49.368798.6111
42.322984.5238
37.0396
73.9583
32.930965.740"
29.645459.1667
55
49.507398.8889
42.4416
84.7619
37.1435
74.166"
33.023365.9259
29.728659.333S
56
49.650699.166?
42.504585.0000
37.2511
74.3750
33.1189 66.111
29.814759.500C
> 57
49.793999.4444
49.932499.7222
42.687385.2381
42.8061 85.4762
37.358674.5833
37.4625l74.791"
33.214566.296
33. 3069 166.481
29.900759.666r
29.983959.833^
' 58
\ 59
57
TAT5LE XIV. — ACTUAL TANGENTS, ETC
6°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~O~
300.291
600 . 000 1 50 . 1 5 1 300 . 000
100.107
200.000
75.0873
150.000
00.0705
120.000
1
301.122
601.667 150.56(5 300.883
100.3S4 200.556
75 2950
150.417
60.2427
120.3:>3
3
301.953
(303.333 lf>0. 982 30 1.607
100 661 201.111
75.5028
150.833
60 4090
120.007
3
302.783
605 . 000 151 . 397 302 . 500
100.938201.667
75.7105
151.250
60.5752
121 000
4
303.614
606. 6671151.813 303. 333
101.215
202.222
75.9182
151.667
60 7414
121 333
5
304.445
608. 333 ! 152. 228 j 304. 167
101.492
202.778
76.1260
152.083
60.9070
121.007
6
305.276
610.000 152. 643 '305. 000
101.769
203.333
76.3337
152 500
01.0738
122 000
7
306.107
611.667
153.059305.833
102.046
203.889
76.5415
152.917
01.2400
122 333
8
306.937
613.333 153. 474 1306.667
102.323
204.444
76.7492
153.333
61.4062
122.007
9
307.797
615.000
153.904
307.500
102.609
205.000
76.9641
153.750
61.5782
123.000
10
308.656
616.667
154.334
308.333
102.896
205.556
77.1790
154.167
61.7501
123.333
11
309 487
618.333 154. 749!309. 167
103.173
206.111
77.3808
154.583
01.9163
123.007
13
310.318
620.000
155. 1651310. 000
103.450
206.667
77.5945
155.000
02.0825
124.000
13
311.149
621.667
155.580310.833
103.727
207.222
77.8022
155.417
02.2487
124.333
14
311.979
623.333
155.995311.667
104.004
207.77878.0100
155.833
02.4149
124 007
15
312.810
625 000
156.411
312.500
104.281
2J8.333 78.2177
156 250
02 5812
125 000
16
313.641
626.667
156.826
313 333
104.558
208.889
78.4255
150.007
02.7474
125.333
17
314.472
628.333
157.242
314.167
104.835
209.444
78.6332
157.083
02.9136
125.007
18
315.303
630.000
157.657
315.000
105.112
210.000
78.8409
157.500
63.0798
126.000
19
316.162
631.667
158.087
315.833
105.398
210.556
79.0558
157.917
63.2517
120.333
30
317.022
633 333
158.517
316.667
105.685
211.111
79.2707
158.333
63.4237
126.607
31
317.852
635.000
158.932
317.500
105.962
211.667
79.4785
15S.750
03.5899
127.000
33
318 683
636 667
159.347
318 333
106.239
212.222
79.0862
159.107
63.7501
127.333
33
319.514
638.333
159 763
319.167
106.516
212 778
79 8940
159 583
03.9223
127.667
34
320.345
640.000
160.178
320.000
106.793
213.333
80.1017
160.000
04.0885
128.000
35
321.176
641.667
160.594
320 833
107.070
213.889
80 3094
160.417
64 2547
128.333
36
322.006
643.333
161.009
321.667
107.341'.
214.414
80.5172
160.833
64.4209
128.007
37
322.837
645.000
161.424
322.500
107.623
215.000
80.7249
161.250
64.5871
129.000
38
323.668
646.667
161.840
323.333
107.900
215.556
80.9327
161.667
04.7534
129.333
39
324.499
648.333
162.255
324.167
108.177
216.111
81.1401
162.083
64.9196
129.607
30
325.330
650.000
162.671
325.000
108 454
216.607
81.3181
162 500
65.0858
130.000
31
326 189651.667
163.100
325.833
108.741
217.222
81.5630
102.917
05.2577
130.333
33
327.048
653. 333 163. 530
326.667
109.027
217.778
81.7779
103.333
65.4297
130.607
33
327.879
655.000 163.946
327.500
109.304
218.333
81.9857
103 750
65.5959
131.000
34
328.710
656.667164.361
328.333
109 581
218.889
82.1934
164.167
65.7621
131.333
35
329.541
658.333 164.776
329.167
109 858
219.444
82.4012
164.583
65.9283
131.667
36
330.372
660.000165.192
330.000
110.135
220.000
82.0089
165.000
66 0945
132 000
37
331 202
66 1 . 667 1 65 . 607 1 330 . 833
110.412
220.556
82.8166
165.417
66.2607
132.383
38
39
332.033
332.864
663.333
665.000
166.023
166.438
331.667
332.500
110.689
110.966
221.111
221.667
83.0244
83.2321
105.833
166.250
66.4269
66.5931
132.607
133.000
40
333.695
666.667
166.854
333.333
111.243
222.222
83.4399
166.667
66.7593
133.333
41
334.554
668.333
167.283334.167
111.530222 778
83.0548
167.083
66.9313
133.607
43
335.414
670.000
167.713335.000
111.816223.333
83.8697
167.500
67.1032
134.000
43
336.245
671.667
168.128
335.833
112.093223.889
84.0774
167.917
67.2694
131.333
44
337.075
673.333
168.544
336.667
112.370
224.444
84.2852
168.333
67.4357
134.667
45
337.906
67o.OOO
168.959
337.500
112.647
225.000
84 4929
168.750
67.6019
135.000
46
338 737
676.667
169.3751338.3:53
112.924225.556
84.7006
169.167
67.7081
135.333
47
339.568
678.333
169.7901339.167
113.201 226. 11 1184.9084
169.583
07. 9343 1 135. 607
48
340.399
680.000
170.205
340.000
113.478
226.667
85.1161
170.000
68.1005
130.000
49
341.229
681.667
170.621
340.833
113.755
227.222
85.3239
170.417
68.2667
136.333
50
342.060
683.333
171.036
341.667
114.032
227.778
85.5316
170.833
08.4329
136.607
51
342.891
685.000
171.452342.500
114.309
228.333
85.7393
171.250
08.5991
137.000
53
343.722
686.667
171.867J343.333
114.586
228.889
85.9471
171.667
68.7(553
137.383
53
344.581
688.333
172.297
344.167
114.872
229.444
86.1620
172.083
08.9373
137 0(i7
54
345.441
690.000
172.727
345.000
115.159
230.000
86.3709
172.500
09.1092
13H.OOO
55
346.271
691.667
173.142345.833
115.436
230.556
86.5846
172.917
09.2754
138.383
56
347.102
693.333 173.557346.667
115.713
231.111
HO. 792 4
173.333
09.4410
188.007
57 347.033I695.000I178.973J347.500
115.990
231.667
87.0001
173.750
09.0079
139.0'H)
58 1 348. 704 696.667 174.388 318.333
116.267
232.222
87.207'8
174.107
09 7741
139 383
59 349.595 698.333; 174. 804 349.167
116.544
232.778
87.4156 174.58309.9403
139.007
58
TABLE XIV. — ACTUAL TANGENTS, ETC.
G° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
G°
Tan.
Arc.
Tan Arc.
Tan. [ Arc.
Tan.
Arc.
Tan.
Arc.
M.
f,0. 0709! 100 00042 924885.7143
37. 5664! 75 0000 33.3093 66.6667
30.0671
60.0000
o
50. 2095 (100.278 43 0480 85.9524
37. 6704 175.2083 33.4917
66.8519
30.1503
60.1067
1
50.3480 100.556J43.HB8
86 1905
37.774375 4167 33.5841
07.037(
30.2335
60.3333
2
50 4865
100.833,43.2811
86.42.S6
37 8782175.6250
33 6765
67.2222
30.3166
60.5000
3
50.0251
101.111
43.3999
86.6667
37 9822
75.8333
33.7689
67.4074
30.399?
60.6667
4
50.7636
101.389
43.5186
86.9048
38.0801
76 0417
33.8013
67.5926
30.4830
60.8333
5
50.9021
101.66743.6374
87.1429
38 1900
76.2500
33.9537
67.7778
30.5662
61.000(
6
51.0406
101.94443.7561
87.3810
38.2940
76.4583
34.0461
67.9630
30.6494
61.1667
7
51.1792
102.222
43.8749
87.6190
38.3070
70.6(167
34.1385
68.1482
30.7326
61.3333
8
51.8225
102.500
43.9977
87.8571
38.5054
76.8750
34.2341
68.3333
30.8186
01.5000
9
51.4658
102.778
44.1206
88.0952
38.6129
77.0833
34.3297
68.5185
30.9047
61.6667
10
5 1.6043 11 03. 056 44. 2394
88.33:33
38.710977.2917
34.4221
68.7037
30.987961.8333
11
51.7428
103.333
44.3581
88.5714
38.820877.5000
34.5145
68.8889
31.071062.0000
12
51 8814
103.611
44.4769
88.8095
38.924777.7083
34.6069
69.0741
31.154262.1667
13
52. 01 991 103. 8«8
44.5956
89.0476
39.028777.9167
34.6993
69.2593
31.2374
62.3333
14
52 15841104.167
44-7144
89 2856
39 1326 78.1250
34.7917
69 4444
31.3206
62.5000
15
52.2009 104.444
52. 4 355; 104. 722
44.8331
44.9519
89.5238
89.7619
39.2365 78.3333
39.340578.5417
34.8842
34.9766
69.6296
69.8148
31.4038
31 4870
62.6667
62.83:33
16
17
52.5740 105.000
45.0707
90.0000
30.4444 78.7500
35.0690
70.0000
31.5702
63.0000
18
52.7173
105.278
45.1935
90.2381
39.5519
78.9583
35.1640
70.1852
31.6562
63.1667
19
52.8606
105.556
45.3164
90.4762
39.6594
79.1667
35.2601
70.3704
31.7423
63.3333
2O
52.9991
105.833
45.4351
00.7143
39. 7634 179.3750
35.3525
70.5556
31.8254
63.5000
21
53.1377
106 111
45.5539
90.9524
30 8673 79.5833
35.4450
70.7407
31.9080
63.6007
22
53.2762
1 06.389
45.0726
91.1905
30.9712
79.7917
35.5374
70.9250
31.9918
63.8333
23
53.414?
106.667
45 7914
91.4286
40.0752
80.0000
35.6298
71.1111
32.0750
64.0000
24
53.5533
106.944
45.9102
91.6667
40. 1791 180. 2083
35.7222
71.2963
32.1582
64.1667
25
53.6918
107.222
46.0289
91.9048
40.2830180.4107
•35.8146
71.4815
32.2414
64.3333
26
53.8303
107.500
46.1477
92.1429
40.3870
80.6250
35.9070
71.6667
32.3246
04.5000
27
53.9688
107.778
46.2664
92.3810
40.4909
80.8333
35.9994
71.8519
32.4077
64.6667
28
54.1074
108.056
46.3852
02.6190
40.5948
81.0417
36.0918
72.0370
32.4909
04.8333
29
54.2459
108.333
46.5030
92.8571
40.6988
81.2500
36.1842
72.2222
32.5741
05.0000
30
54.3892
108.611
46.6268
93.0952
40.8063
81 .4583
36.2798
72.4074
32.6602
05.1667
31
54.5325
108.889
46.7497
93.3333
40.9138
81.6667
36.3754
72.5926
32.7462
65.3333
'32
54.6710
109.16?
46.8684
93.5714
41 0177
81.8750
36.4678
72.7778
32.8294
65.5000
33
54.8096
109.444
46.9872
93 8095
41.1217
82.0833
36.5602
72.9630
32.9126
65.6667
34
54.9481
109.722
47.1059
U.0476
41.2256
82.2917
36.6526
73.1482
32.9958
05.8333
35
55.0866
110.000
47.2247
94.2856
41.3205
82.5000
36.7450
73.3333
33.0790
66.0000
3G
55.2252
110.278
47.3434
94.5238
41.4335
82.7083
36.8374
73.5185
33.1621
66.1667
37
55.3637
110.55647.4622
94.7019
41.5374
82.9167
30.9298
73.7037
33 2453
66.3333
38
55.5022
110. 833|47. 5810
95.0000
41.6413
83.1250
37.0222
73.8889
33.3285
66.5000
39
55.6407
111.111147.6997
95.2381
41.7453
83.3333
37.1146
74.0741
33.4117
66.6667
4O
55.7840
111.3S947.8226
95.4762
41.8528
83.5417
37.2102
74.2593
33.4978
66.8333
41
55.9274
111. (567 4 7. 9454
95.7143
41.9603
83.7500
37.3058
74.4444
33.5838
67.0000
42
56.0659
111.94448.0642
95.9524
42.0642
83.9583
37.3982
74.6296
33.667067.1667
43
56 2044
112 222:48 1829
96.1905
42.1682
84.1667
37.490G
74.8148
33.7502
67.3333
44
56.3429
112.50048.3017
96.4286
42.2721
84.3750
37.5830
75.0000
33.8S34
67.5000
45
56.4815
112.778 48.4205
96.6667
42.37GO
84.5833
37.6754
75.1852
33.9165
67.6667
46
56.6200
113.05648.5392
96.9048
42.4800
84.7917
37.7678
75.3704
33.9997
67.8333
47
56.7585
113.333 48.6580
97.1429
42.583985.0000
37.8602
75.5556
34.0829
08.0000
48
56.8971
113.611:48.7767
97.3810
42.6878
85.2083
37.9526
75.7407
34.1661
68.1667
49
57.0356
113. 880!48. 8955
97.6190
42.7918
85.4167
38.0450
75.9259
34.2493
68.3333
no
57.1741
114.16749.0142
97.8571
42.8957 85. 6250 138. 1374
76.1111
34.3325
68 50CO
61
57.3126
114.44449.1330
08.0952
42.9996
85.8333
38.2298
76.2963
34.4157
68.6667
52
57.4559
114.72249.2559
98.3333
43.1071
86.0417
38.3254
76.4815
34.5017
08.8333
53
57.5993
115.000:49.8787
98.5714
43.2147
86.2500
38.4210
76.6667
34.587869.0000
54
57.7378
115.27849.4975
98.8095
43. 31 86 86. 4583 38.5134
76.8519
34.670969.1667
55
57.8763
115.55649.6162
99.0476
48.4225 86.6667 38.6058
77.0370
34.7541
09.3333
56
58.0148
115.83349.7350
99.2856
3 . 5265 i 86 . 8750 1 38 . 6982
77.2222
34.8373
69.5000
57
58.1534
116.111 49.8537
09.5238
43.6304 87.0833 38.7906
77.4074
34.9205
69.6067
58
58.2919
116.38949.9725
99.7619
3. 7343 87. 2917 38. 8830
77.5920
35.003769.8333
59
59
TABLE XIV.— ACTUAL TANGENTS, ETC.
7°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
3.-)0.425
700.000
175.219
350.000
1 1 6 . 820 233 . 333 87 . 6233
175.000
70.1065 140.000
1
351.25(5
701.667
175.635
350.833
117.097233.88987.8311
175.417
7D.2727 140.333
3
352.087
703.333
1 76.050J351 667
1 1 7 . 374 23 4 . 444 88 . 0388 1 75 . 833
70.4389 140.667
3
352.946
705.000
176.480352.500
117.661 235.00088.2537
176.250
70. 6108:141. 000
4
353.806
706 667
176.909
353.333
117.947 235 . 556 88 . 4686 1 76 . 667
70.7828 141.333
5
354.637
708.333
177.325354.167
118 224 ! 236. 111188. 6763 177.083
70.9490141.0(57
6
355.467
710.000
177.740355 000
118.501236.66788.8841
177.500
71. 1152! 142. 000
7
356.298
711.667
178.156
355.833
118.778237.222:89.0918
177.917
71.2814
142.333
8
357.129
713.333
178 571
356.667
119.055237.77889.2996
178.333
71.4476
142.667
9
357.960
715.000
178.987
357.500
119. 332 238. 333,89. 5073
178.750
71.6138
143.000
1O
358.791
716.667
179.402
358.333
119.609
238.889
89.7150
179.167
71.7801
143.333
11
359.621
718.333
179. 8171359. 167
119.886 239.444 89.9228 179.583
71.9463
143.667
13
360.452
720.000
180.233360.000
120.163240.00090.1305
180.000
72.1125
144.000
13
361.312
721.667
180.662360.833
120.450240.556:90.3454 180.417
72.2844
144.333
14
362.171
723.333
181.092361.667
120.736241.111
90.5603
180.833
72.4564
144.667
15
363.002
725.000
181.508362.500
121.013241.66790.7681
181.250
72.6226
145.000
16
363.833
726.667
181.923,363.333
121.290
242.22290.9758 181.667
72.7888
145.333
17
364.664
728.333
182.338364.167
121.567
242.77891.1836
182.083
72.9550
145.667
18
365.494
730.000
182. 754 ;365.000
121.844
243.33391.3913
182.500
73.1212
146.000
19
366.325
731.667
183.169365.833
122.121
243.889
91.5990
182.917
13.2874
146.333
30
367.156
733.333183.585366.667
122.398
244.444
91.8068
183.333
73.4536
146.667
31
367.987
735.000184.000367.500
122.675245.00092.0145
183.750
73.6198
147.000
33
368.818
736.667
184.4163(58.333
122.952 245.556 92.2223
184.167
73.7860
147.333
33
369.677
738.333184.845
369.167
123.238
246.111
92.4372
184.583
73.9580
147.6(57
34
370.536
740.000 185.275
370.000
123.525
246.66792.6521
185.000
74.1299
148.000
35
371.367
741.667185.6901370.833
123.802
247.22292.8598185.417
74.2961
148.333
3<J
372.198
743.333 186. 1061371. 667
124.079
247.77893.0675
185.833
T4.4623
148.667
37
373 029
745.000186.521 372.500
124.356
248. 333 93. 2753 186. 250
74.62«6|149.000
38
373.860
746.667 186.937
373.333
124.633
24 8. S89 93. 4830 186.667
74.7948
149.333
39
374.690
748.833 1ST. 852
374.167
124.910
249.444:93.6908
187.083
74.9610
149.667
30
375.521
750.000,187.768
375.000
125.187
250.00093.8985
187.500
75.1272
150.000
31
376.381
751.667,188.197
375.833
125.473
250. 556| 94.113t
187.917
75.2091
150.333
33
377.240
753.333 188.627
376.667
125.760
251.111 94.3283
188.333
75.4711
1 50.607
33
378.071
755.000; 189. 042
377.500
126.037
251.667
94.5360 188.750
75.6373
151.000
34
378.902
756.667,189.458
378.333
126.314
252.222
94.7438
189.167
75.8035 151.333
35
36
379.733
380.563
758. 333; 189. 873
760.000:190.289
379.167
380.000
126.591
126.868
252.778
253 333
94.9515
95.1593
189.583
190.000
75. 9697 .151.667
76.1359152.000
37
381.394
761.6671190.704
380.833
127.144
253.889
95.3670 190.417
76. 302l! 152. 333
38
382.225
768.333101.119
381.667
127.421
254.445
95.5747
190.833
76. 4683 '152.667
39
333.056
765.000
191.535
382.500
127.698
255.000
95.7825
191.250
76.6345 153.000
4O
383.887
766.667191.950
383.333
127.975
255.556
95.9902
191.667
76.8008
153.333
41
384.746
768.333192.380
384.167
128.262
256.111
96.2051
192.083
76.9727 153.667
43
385.605
770.000; 192. 810
385.000
128.548
256.667
96.4200
192.500
77.1446 154.000
43
3S6.436
771.667)193.225
385.833
128.825
257.222
96.6278 192.917
77.3109 154.333
44
387.267
773.333 193.641
386.667
129.102
257.778
96.8355
193.333
77.4771 154. 6G7
45
388.098
775.000 194.056
387.500
129.379
258.333
97.0433
193.750
77.6433155.000
46
388.929
776.667194.471
388.333
129.656
258.889
97.2510
194.167
77.8095 155.333
47
3S9.759
778.333 194.887
389.167
129.933
259.444
97.4587
194.583
77.97'57155 667
48
390.590
780,000 195.302
390.000
130.210
260.000
97.6665
195.000
78.1419 15(5.000
49
391.450
781.667
195.732
390.833
130.497
260.556
97.8814
195.417
78.3138 156.333
50
302.309
783. 333 196.162
391.667
130.783
261.111
98.0963
195.833
78.4858 156.667
51
393.140
785 000,196.577
392.500
131.060
261.667
98.3040
19(5.250
78.6520 157.000
53
393.971
786.667^96.993
393.333
131.337
262.222
98.5118196.667
78.8182157.333
53
394.802
788.333 197.408
394.167
131.614
262.778
98.7195
197.083
78.9844 157.667
54
395.632
790.000 197.823
395.000
131.891
263.333
98.9272197.500
70.1506158.000
55
396 463
791.607198.239
395.833
132.168
263.889
99.1350
197.917
79.3168158.333
56
397.294
793.333 198.654
396.667
132.445
264.444
99.3427198.333
79.4831 158.667
57
398.125
795.000 199.070397 500
132.722
265000
99.5505
108.750
70.6403 150.000
58
398.956
796 . 667 1 99 . 485 1 308 333
132 999
265 556
99.7582
199.167
79. 8155! 159. 333
59
399.815
798. 3:33 199. 915i399. 167
133.285
266.111
99.9731
190.583
79. 9874! 159. 667
60
TABLE XIV. — ACTUAL TANGENTS, ETC.
6C Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
7°
Tan.
Arc.
116.667
Tan. Arc.
Tail.
43.8383
Arc.
Tan.
38.9754
Arc.
Tan.
Arc.
M.
~O
68.4304
50.0913 100.000
87.5000
77.7778
35.0869
70.0000
58.5(190
116.944
50.2100100.238
43.9422
87.7083
39.0678
77.9630
35.1701
70.1GG7
I
58.7075
117.222
50.3288100.476
44.0461
87.9167
39.1602
78.1482
35.2532
70.3333
2
58.8508
117.500
50.4516 100.714
44.1536
88.1250
39.2558
78.3333
35.3393
70.500(
3
58. 9941 1117.778
50.5745 100.952
44.2612
88.3333
39.3514
78.5185
35.4254
70.6667
4
89.1326
118.056
50.6932101.190
44.3651
88.5417
39.4438
78.7037
35.5085
70.83S8
5
59.2711
118.333
50.8120101.429
44.4690
88.7500
39.5362
78.8889
35.5917
71.000(
6
59.4097
118.611
50.9308101.667
44.5730
88.9583
39.6286
79.0741
35.6749
71.1667
7
59.5482
118.889
51.0495101.905
44.6769
89.1667
39.7210
79.2593
35.7581
71.3333
8
59.0807
119.16'!
51.1683
102.143
44.7808
89.3750
39.8134
79.4444
35.8413
71.5000
9
59.8253
119.444
51.2870
102.381
44.8848
89.5833
39.9058
79.6296
35.9245
71.6667
1O
59.9638
119.722
51.4058102.619
44.9887
89.7917
39.9982
79.8148
36.0076
71.8333
11
00.1023
120.000
51.5245102.857
45.0926
90.0000
40.0906
80.0000
36.0908
72.0000
12
GO 245(5
120.278
51.6474
103.095
45.2001
90.2083
40.1862
80.1852
36.1769
72.1667
13
00.3889 120.556
51.7702
103.333
45.3077
90.4167
40 2818
80.3704
36.2629
72.3333
14
00.5275 120.833
51.8890
103 571
45.4116
90.6250
40.3742
80.5556
36.3461
72.5000
15
60.6600 121.111
52.0078
103.810
45.5155
90.8333
40.4666
80.7407
36.4293
72.6667
1G
60. 8045 I 12 1.389
52.1265
104.048
45.6195
91.0417
40.5590
80.9259
36 5125
72.8333
17
60.9430
121.66?
52.2453
104.286
45.7234
91.2500
40.6514
81.1111
36.5957
73.0000
18
61. 081 G
121.944
52.3640
104.524
45.8273
91.4583
40.7439
81.2963
36.6789
73.1667
19
61.2201
122.222
52.4828
104.762
45.9313
91.6667
40.8363
81.4815
36.7620
73.3333
20
61.3586
122.500
52 6016
105.000
46.0352
91.8750
40.9287
81.6667
36.8452
73.5000
21
61.4972
122.778
52.7203
105.238
46.1391
92.0833
41 0211
81.8519
36.9284
73.666?
22
61.6405
123.056
52.8432
105.476
46.2466
92.2917
41.1167
82.0370
37.0145
73.8333
23
61.7838
123.333
52.9660
105.714
46.3542
92.5000
41.2122
82.2222
37.1005
74.0000
24
61 . 9223
123.611
53.0848
105.952
46.4581
92.7083
41.3046
82.4074
37.1837
74.166,
25
62.0608
123.889
53.2035
106.190
46. 5620 j 92 9167
41.3971
82.5926
37.2669
74.3333
26
62.1994
124.167
53. 3223 1106.429
46.6660
93.1250
41.4895
82.777'8
37.3501
74.5000
27
62.3379
124.444
53.4410
106.667
46.7699
93 . 3333
41.5819
82.9630
37.4333
74.6667
28
62.4764
121.722
53.5598
106.905
46.8738
93.5417
41.6743
83.1482
37.5165
74.8333
29
62.6149
125.000
53.6786
107.143
46.9778
93.7500
41.7667
83.3333
37.5996
75.0000
3O
62.7582
125.278
53.8014
107.381
47.0853
93.9583
41.8623
83.5185
37.6857
75.1667
31
62.9016
125.556
53.9243
107.619
47.1928
94.1667
41.9579
83.7037
37.7717
75.3333
32
63.0401
125.833
54.0430
107.857
47,2967
94.3750
42.0503
83.8889
37.8549
75.5000
33
63.1786
126.111
54.1618
108.095
47.4007
94.5833
42.1427
84.0741
37.9381
75.6667
34
63.3171
126.389
54.2805
108.333
47.5046
94.7917
42.2351
84.2593
38.0213
75.8333
35
63.4557
126.667
54 3993
108.571
47.6085
95.0000
42.3275
84.4444
38.1045
76.0000
36
63.5942
126.944
54.5181
108.810
47.7125
95.2083
42.4199
84.6296
38.1877
76.1667
37
63.7327
127.222
54.6368
109.048
47.8164
95.4167
42.5123
84.8148
38.2709
76 . 3333
38
63.8713
127.500
54.7556
109.286
47.9203
95.6250
42.6047
85.0000
38.3540
76.5000
39
64.0098
127.778
54.8743
109.524
48.0243
95.8333
42.6971
85.1852
38.4372
76.6667
40
64.1531
128.056
54.9972
109.762
48.1318
96.0417
42.7927
85.3704
38.5233
76.8333
41
64 2964
128.333
55.1200
110.000
48.2393
96.2500
42.8883
85.5556
38.6093
77.0000
42
64.4349
128.611
55.2388
110.238
48.3432
96.4583
42.9807
85.7407
38.6925
77.1667
43
64.5735
128.889
55.3576
110.476
48.4472
96.6667
43.0731
85.9259
38.7757
77.3333
44
64.7120
129.167
55.4763
110.714
48.5511
96.8750
43.1655
86.1111
38.8589
77.5000
45
64.8505
129.444
55.5951
110.952
48.6550
97.0833
43.2579
86.2963
38.9421
77.6667
4G
64 9890
129.722
55.7188111.190
48.7590
97.2917
43.3503
86.4815
39.0253
77.8333
47
65.1276
130.000
55.8326
111.429
48.8629
97.5000
43.4427
86.6667
39.1084
78.0000
48
65.2709
130.278
55.9554
111.667
48.9704
97.7083
43.5383
86.8519
39.1945
78.1667
49
65.4142
130.556
56.0783
111.905
49.0779
97.9167
43 6339
87.0370
39.2805
78.3333
50
65.5527
130.833
56.1971 112.143
49.1819
98.1250
43.7263
87.2222
39.3637
78.5000
51
65.6912
131.111
56.3158 112.381
49.2858
98.3333
43.8187
87.4074
39.4469
78.6667
52
65. 829S: 131.389
56.4346
112.61!)
49.3897
98.5417
43.9111
87.5926
39.5301
78.8333
53
65. 9683i 131. 667
56.5533
112.857
49 4937
98.7500
44.0035
87.7778
39.6133
79.0000
54
66. 1068' 131. 944
66. 2453^1 32. 222
56.6721
56.790H
113.095
113.3*3
49.5976
49.7015
OS. 0583
99.1667
44.0959
44.1883
87.9630
88.1482
39.6965
39.7797
79.1667
79.3,333
55
56
66.3839 132.500
56.9096:113.571
49.8055
99.3750
44.2807
88.3333
39.8628
79.5000
57
66.5224 132.778
57.0284
113.810
49.9094
99.5833
44.3731
88.5185
39.9460
79.6667
58
66. 6657 1133.056
57.1512
114.048
50.0169! 99. 791 7| 44. 4687
88.7037
40.0321
79.8333
59
Gl
TABLE XIV.— ACTUAL TANGENTS, ETC.
8°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~~0~
Tan.
Arc.
Tan.
Arc.
400.000
Tan.
Arc.
266.667
Tan.
100.188
Arc.
Tan.
Arc.
400.674
800.000
200.345
133.572
200.000
80.1594
160.000
1
401.505
801.667
200.760
400.833
133.849
267.222
100.396
200.417
80.3256
160.333
2
403.336
803.333
201.175
401.667
134.126
267.778
100.603
200.833
80.4918
160.667
3
403.167
805.000
201.591
402.500
134.403
268.333
100.811
201.250
80.6580
161.000
4
403.998
806.667
202.006
403.333
134.680
268.889
101.019
201.667
80.8242
161.333
5
404.828
808.333
202.422
404.167
134.957
269.444
101.227
202.083
80.9904
161.667
6
405.659
810.000
202.837
405.000
135.234
270.000
101.4:34
202.500
81.1566
162.000
7
406.519
811.667
203.267
405.833
135.520
270.556
101.649
202.917
81.3286
162.333
8
407.378
813.333
203.697
406.667
135.807
271.111
101.864
203.3:33
81.5005
162.667
9
408.209
815.000
204.112
407.500
136.084
271.667
102.072
203.750
81.6667
163.000
10
409.040
816.667
204.527
408.333
136.361
272.222
102.280
204.167
81.8329
163.333
11
409.871
818.333
204.943
409.167
136.63S
272.778
102.487
204.583
81.9991
163.667
12
410.701
820.000
205.358
410.000
136.915
2 -'3. 333
102.695205.000
82.1654
164.000
13
411.532
821.667
205.774
410.833
137.191
273.889
102.903205.417
82.3316
164. 333
14
412.363
823.333
206.189
411.667
137.468
274.444
103.111 205.833
82.4978
164.667
15
413.222
8>5.000
206.619
412.500
137.755
275.000
103.326206.250
82.6697
165.000
16
414.082
826.667
207.048
413.3:33
138.041
275.556
103.541 206.667
82.8417
165.333
17
414.913
828.333
207.464
414.167
138.318
276.111
103.748i20r.083
83.0079
165.667
18
415.743
830.000
207.879
415.000
138.595
276.667
103.956207.500
83.1741
166.000
19
416.574
831.667
208.295
415.833
138.872
277.222
104.164
207.917
83.3403
166.333
20
417.405
833.333
208.710
416.667
139.149
277.778
104.371
208.333
83.5065
166.667
21
418.236
835.000
209.126
417.500
139.426
278.333
104.5791208.750
83.6727
167.000
22
419.067
836.667
209.541
418.333
139.703
278.889
104. 787|209. 167
83.8389
167.333
23
419.926
838.333
209.971
419.167
139.990
279.444
105. 002! 209. 583
84.0109
167.667
24
420.785
840.000
210.400
420.000
140.276
280.000
105.217
210.000
84.1828
168.000
25
421.616
841.667
210.816
420.833
140.553
280.556
105.424
210.417
84.3490
168.333
2(>
422.417
843.333
211.231
421.667
140.830
281.111
105.632
210.833
84.5152
168 667
27
423.278
845.000
211.647
422.500
141.107
281.667
105.840
211.25084.6814
169.000
28
424.109
846.667
212.062
423.333
141.384
282.222
106.048
211.66784.8476
169.333
29
424.939
848.3:33
212.478
424.167
141.661
282.778
106.255
212.083
85.0139
169.667
3O
425.770
850.000
212. 8Q3
425.000
141.938
283.333
106.463
212.500
85.1801
170.000
31
426.630
85 1.667
213.323
425.833
142.225
283.889
106.678 212. 9! 7185. 8520
170.333
32
427.489
853.333
213.752
426.667
142.511
284.444
106.893
213.33385.5240
170.667
33
428.320
855.000
214.168
427.500
142.788
285.000
107.101
2 13. 750 '85. 6902
171.000
34
429 151 856.667
214.583
428.333
143.065
285.556
107.308
214.167,85.8564
171.333
35
429.982858.333
214.999
429.167
143.342
286.111
107.516
214.58386.0226 171.667
36
430. 812 ! 860. 000
215.414
430.000
143.619
286.667
107.724
215. 000|86. 1888 172. 000
37
431.643 861.667
215.830
430.833
143.896
287.222
107.932
21 5 . 41 7 i 86 . 3550 1 72 . 333
38
432.474863.333
216.245
431.667
144.173
287.778
108.139
215. 633 86. £3121172.667
39
433.333
865.000
216.675
432.500
144.459
288.833
108.354
216.250
86.6932
173.000
4O
434.193
866.667
217.104
133.333
144.746
288.889
108.569
216.667
86.8651
173.333
41
435.024
868.333
217.520
434.167
145.023
289.444
108.777
217.083 87.0313 173.667
42
435.854
870.000
217.935
435.000
145.300
290.000
108.985
217.50087.1975 174.000
43
436.685
871.667
218.351
43>. 833
145.577
290.556
109.192
217.91787.3637174.333
44
437.516
873.333
218.766
136.667
145.854
291.111
109.400
218.33387.5299174.667
45
43 S. 3 47
875.000
219.181
437.500
146.131
291.867
109.608
218.750 87.6962 175.000
46
439.178
876.667
219.597
438.333
146.408
292.222
109.816
219.16787.8624 175.333
47
440.037
878.333
2-20.027
439.167
146.694
292.778
110.031
219. 583 ' 88 . 0343 1 75 . 667
48
49
410.897
441.727
880.000
881.667
220.456
220.872
440.000
440.833
146.981
147.258
293.333
293.889
110.245
110.453
220.000
220.417
88.2062 176.000
88.3725,176.333
50
412.558
883.333
221.287
441.667
147.535
294.444
110.661
220.833
88. 538?! 176. 667
51
443.389
885.000
221.703
442.500
147.812
295.000
110.869
221 . 250 88 . 7049 1 1 77. 0(10
52
444.220
886.667
222.118
443.333
148.089
295.556
111.076
221. 667 88. 8711 j 177.333
53
415.051
888.333
222.533
444.167
148.365
296.111
111.284
22 .' . 083 89 . 0373 1 77 . 667
54
445.881
890.000
222.949
445.000
148.642
296.667
111.492
222 . 500 89 . 2035 1 1 78 . 000
55
116.741
891.667
223.379
445.833
148.929
297.222
111.707
222 . 91 7 89 . 3755, 178 . 333
5(1
447.600
893.333
223.808
446.667
149.215
297.778
111.922
223 . 333 89 . 5474 1 178 . 667
57
148.431
895.000
224.224
447.500
149.492
298.333
112.129
223.75089.7136
179.000
58
449.262
896.667
224.639
448.333
149.769
298.889
112.337
224.16789.8798
17'9.333
59
450.093
898.333
225.055
449.167
150.046
299.444
112.545
224.58390.0460179.667
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
8°
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
66.8090
133.333
57.2741
114.286
50.1244
100.000
44.5643
88.8889
40.1181
80.0000
~O
66.9475
133.611
57.3928
114.524
50.228-1
100.208
44 . 6567
89.0741
40.2013
80.1667
1
67.0861
133.889
57.5116
114.762
50.3323
100.417
44.7491
89.2593
40.2845
80.3333
2
67.2246
134.167
57.6303
115.000
50.4362
100.625
44.8415
89.4444
40.367780.5000
3
67.3631
134.444
57.7491
115.238
50.5402
100.833
44.9339
89.6296
40.4509
80.6667
4
67.5017
134.722
57.8679
115.476
50.6441
101.042
45.0263
89.8148
40.5341
80.8333
5
67.6402
135.000
57.9866
115.714
50.7480
101.250
45.1187
90.0000
40.6172
81.0000
6
87.7835
ia5.278
58.1095
115.952
50.8555
101.458
45.2143
90.1852
40.7033
81.1667
7
67.9268
135.556
58.2323
116.190
50.9631
101.667
45.3099
90.3704
40.7894
81.3333
8
68.0653
135.8:33
58 3511
116.429
51.0670
101.875
45.4023
90.5556
40.8725
81.5000
9
68.2039
136.111
58.4698
116.667
51.1709
102.083
45.4947
90.7407
40.9557
81.6667
1O
68.3424
136.389
58.5886
116.905
51.2749
102.292
45.5871
90 9259
41.0389
81.8333
11
68.4809
136.667
58.7073
117.143
51.3788
102.500
45.6795
91.1111
41.1221
82.0000
13
68.6194
136.944
58.8261
117.381
51.4827
102.708
45.7719
91.2963
41.2053
82.1667
13
68.7580
137.222
58.9449
117.619
51.5867
102.917
45.8643
91.4815
41.2885
82.3333
14
68.9013
137.500
59.0677
117.857
51.6942
103.125
45.9599
91.6667
41.3745
82.5000
15
69.0446
137.778
59.1906
118.095
51.8017
103.333
46.0555
91.8519
41.4606
82 6667
16
69.1831
138.050
59.3093
118.333
51.9056
103.542
46.1479
92.0370
41.5438
82.8333
17
69.3216
138.333
59.4281
118.571
52.0096
103.750
46.2403
92.2222
41.6269
83.0000
18
69.4602
138.631
59.5468
118.810
52.1135
103.958
46.3327
92.4074
41.7101
83.1667
19
69.5987
138.889
59.6656
119.048
52.2174
104.167
46.4251
92.5926
41.7933
83.3333
20
69.7372
139.167
59.7844
119.286
52.3214
104.375
46.5175
92.7778
41.8765
83.5000
21
69.8758
139.444
59.9031
119.524
52.4253
104.583
46.6099
92.9630
41.9597
83.6667
22
70.0191
139.722
60.0260
119.762
52.5328
104.792
46.7055
93.1482
42.0457
83.8333
23
70.1624
140.000
60.1488
120.000
52.6403
105.000
46.8011
93.3333
42.1318
84.0000
24
70.3009
140,278
60.2676
120.238
52.7443
105.208
46.8935
93.5185
42.2150
84.1667
25
70.4394
140.556
00.3863
120.476
52.8482
105.417
46.9859
93.7037
42.2982
84.3333
26
70.5780
140.833
60.5051
120.714
52.9521
105.625
47.0783
93.8889
42.3813
84.5000
27
70.7165
141.111
60.6239
120.952
53.0560
105.833
47.1707
94.0741
42.4645
84.6667
28
70.8550
141.389
60.7426
121.190
53.1600
106.042
47.2631
94.2593
42.5477
84.8333
29
70.9935
141.667
60.8614
121.429
53.2639
106.250
47.3555
94.4444
42.6309
85.0000
30
71.1368
141.944
60.9842
121.667
53.3714
106.458
47.4511
94.6296
42.7170
85.1667
31
71.2801
142.222
61.1071
121.905
53.4790
106.667
47.5467
94.8148
42.8030
85.3333
32
71.4187
142.500
61.2258
122.143
53.5829
106.875
47.6391
95.0000
42.8862
85.5000
33
71.5572
142.778
61.3446
122.381
53.6868
107.083
47.7315
95.ia52
42.9694
85.6667
34
71 . 6957
143.056
61.4634
122.619
53.7908
107.292
47.8239
95.3704
43.0526
85.8333
35
71.8343
143.333
61.5821
122.857
53.8947
107.500
47.9163
95.5556
43.1357
86.0000
36
71.9728
143.611
61.7009
123.095
53.9986
107.708
48.0087
95.740?
43.2189
86.1667
37
72.1113
143.889
61.8196
123.333
54.1025
107.917
48.1011
95.9259
43.3021
86.3333
38
72.2546
144. 1G7
61.9425
123.571
54.2101
108.125
48.1967
96.1111
43.3882
86.5000
39
72.3979
144.444
62.0653
123.810
54.3176
108.333
48.2923
96.2963
43.4742
86.6667
4O
72.5365
144.72-'
62.1841
124.048
54.4215
108.542
48.3847
96.4815
43.5574
86.8333
41
72.6750
145.000
62.3028
124.286
54.5254
108.750
48.4771
96.6667
43.6406
87.0000
42
72.8185
145.278
62.4216
124.524
54.6294
108.958
48.5695
96.8519
43.7238
87.1667
43
72.9520
145.55G
62.5404124.762
54.7333
109.167
48.6619
97.0370
43.8070
87.3333
44
73.0906
145.833
62.a591|125.000
54.8372
109.375
48.7543
97.2222
43.8901
87.5000
45
73.2291
146.111
62.7779125.238
54.9412
109.583
48.8467
97.4074
43.9733
87.6667
46
73.3721
146.389
62.9007125.476
55.0487
109.792
48.9423
97.5926
44.0594
87.8333
47
73.5157
146.667
63.0236125.714
55.1562
110.000
49.0379
97.7778
44.1454
88.0000
48
73.6542
146.944
63.1423125.952
55.2601
110 208
49.1303
97.9630
44.2286
88.1667
49
|
73.7928
147.222
63.2611 126.190
55.3641
110.417
49.2227
98.1482
44.3118
F8.3333
50
73.9313
147.500
63.3799
126.429
55.4680
110.625
49.3151
98.3333
44 . 3950
88.5000
51
74.0698
147.778
63.4986
126.667
55.5719
110.833
49.4075
98.5185
44.4782
88.6667
52
74.2084
148.056
63.6174
126.905
55.6759
111.042
49.4999
98.7037
44.5614
88.8333
53
74.3469
148.333
63.7361
127.143
55.7798
111.250
49.5923
98.8889
44.6446
89.0000
54
74.4902
148.611
63.a590
127.381
55.8873
111.458
49.6879
99.0741
44.7306
89.1667
55
74.6335
148.889
63.9818
127.619
55.9948
111.667
49.7835
99.2593
44.8167
89. 3383
56
74.7720
149.167
64.1006
127.857
56.0988
111.875
49.8759
99.4444
44.8998
89.5000
57
74.9106
149.444
64.2194
128.095
56.2027
112. 083
49.9683
99.6296
44.9830
89.6667
58
75.0491
149.722
64.3381
128.333
56.3066
112.292
50.0607
99.8148
45.0662
89.8333
59
63
TABLE XIV. — ACTUAL TANGENTS, ETC.
9°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
150.323
Arc.
Tan.
Arc.
Tan.
Arc.
0
450.9:>3
900.000
225.47'0
450.000
300. 000
112.753
225.000
90.2122
180.000
1
451.754
901.667
225.885
450.833
150.600
300.556
112.960
225.417
90.3784
180.333
2
452.585
903.333
226.301
451.667
150.877
301.111
113.168
225.833
90.5447
180.667
3
453.445
905.000
226.731
452.500
151.164
301.667
113.383
226.250
90.7l6b
181.000
4
454.304
906.667
227.160
453.333
151.450
302.222
113.598
226.667
90.8885
181.333
5
455.135
908.333
227.576
454.167
151.727
302.778
113.806
227.083
91.0548
181.667
6
455.966
910.000
227.991
455.000
152.004
303.333
114.013
227.500
91.2210
182.000
7
456.796
911.667
228.407
455.833
152.281
303.889
114.221
227.917
91.3872
182.333
8
457.627
913.333
228.822
456.667
152.558
304.444
114.429
228.333
91.5534
182.667
9
458.487
915.000
229.252
457.500
152.845
305.000
114.644
228.750
91.7253
183.000
10
459.340
916.667
229.681
458.333
153.131
305.556
114 859
229.167
91.8973
183.333
11
460.17J
918.333
230.097
459.167
153.408
306.111
115.066
229.583
Q2.0635
183.667
13
461.008
920.000
230.512
460.000
153.685
306.667
115.274
230.000
92.2297
184.000
13
461.838
921.667
230.928
460.833
153.962
307.222
115.482
230.417
92.3959
184.333
14
462.669
923.333
231.343
461.667
154.239
307.778
115.690
230.833
92.5621
184.667
15
463.500
925.000
231.759
462.500
154.516
308.333
115.897
231.250
92.7283
185.000
16
464.331
926.667
232.174
463.333
154.793
308.889
116.105
231.667
92.8945
185.333
17
465.190
928.333
232.604
464.167
155.079
309.444
116.320
232.083
93.0665
185.667
18
466.050
930.000
233.033
465.000
155.366
310.000
116.535
232.500
93.2384
186.000
19
466.881
931.667
233.449
465.833
155.643
310.556
116.743
232.917
93.4046
186.333
20
467.711
933.333
233.864
466.667
155.920
311.111
116.950
233.333
93.5708
186.667
21
468.542
935.000
234.280
467.500
156.197
311.667
117.158
233.750
93.7370
187.000
22
469.373
936.667
234.695
468.333
156.474
312.222
117.366
234.167
93.9033
187.333
23
470.204
938.333
235.110
469.167
156.751
312.778
117.574
234.583
94.0695
187.667
24
471.035
940.000
235.526
470.000
157.028
313.333
117.781
235.000
94.2357
188.000
25
471.894
941.667
235.956
470.833
157.314
313.889
117.996
235.417
94.4076
188.3:33
26
472.753
943.333
236.385
471.667
157.601
314.444
118.211
235.833
94.5796
188.667
27
473.584
945.000
•236.801
472.500
157.878
315.000
118.419
236.250
94.7458
189.000
28
474.415
946.667
237.216
473.333
158.155
315.556
118.627
236.667
94.9120
189.333
29
475.246
948.333
237.632
474.167
158.432
316.111
118.834
237.083
95.0782
189.667
30
476.077
950.000
238.047
475.000
158.709
316.667
119.042
237.500
95.2444
190.000
31
476.936
951.667
£38.477
475.833
158.995
317.222
119.257
237.917
95.4163
190.333
32
477.796
953.333
238.907
476.667
159.282
317.778
119.472
238.333
95.5883
190.667
33
478.627
955.000
i39.322
477.500
159.559
318.333
119.680
238.750
95.7545
191.000
34
479.457
956.667
239.737
478.333
159.835
318.889
119.887
239.167
95.9207
191.333
35
480.289
958.333
240.153
479.167
160.112
319.444
120.095
239.583
96.0869
191.667
36
481.119
960,000
240.568
480.000
160.389
320.000
120.303
240.000
96.2531
192.000
37
481.978
961.667
240.998
480.833
160.676
320.556
120.518
240.417
96.4251
192.333
38
482.838
963.333
241.428
481.667
160.962
321.111
120.733
240.833
96.5970
192.667
39
483.668
965.000
241.843
482.500
161.239
321.667
120.941
241.250
96.7632
193.000
4O
484.499
966.667
242.258
483.333
161.516
322.222
121.148
241.667
96.9294
193.333
41
485.330
968.333
242.674
484.167
161.793
322.778
121.356
242.083
07.0956
193.667
42
486.161
970.000
243.089
485.000
162.070
323.333
121.564
242.500
97.2619
194.000
43
486.992
971.667
243.505
485.833
162.347
323.889
121.771
242.917
97.4281
194.333
44
487.822
973.333
243.920
486.667
162.624
324.444
121.979
243.3:33
J7.5943
194.667
45
488.682
975.000
244.350
487.500
162.911
325.000
122.194
2-13.750
97.7662
195.000
46
189.541
976.667
244.780
488.333
163.197
325.556
122.409
244.167
97.9382
195.333
47
490.372
978.333
245.195
489.167
163.474
326.111
122.617
244.583
98.1044
195.667
48
491.203
980.000
245.610
490.000
163.751
326.667
122.825
245.000
98.2706
196.000
49
492.034
981.667
246.026
490.833
164.028
327.222
123.032
245.417
98.4368
196.333
50
492.864
983.333
246.441
491.667
164.305
327.778
123.240
245.833
98.6030
196.667
51
493.724
985.000
246.871
492.500
164.592
328.333
123.455
246.250
98.7749
97.000
52
494.583
986.667
247.301
493.333
164.878
328.889
123.670
246.667
98.9469
197.333
53
495.414
988.333
247.716
494.167
65.155
329.444
123.878
247.083
99.1131
197.667
54
496.245
990.000
248.132
495.000
165.432
330.000
24.085
247.500
99.2793
198.000
55
497.076991.667
248.547
495.833
65.709
330.556
124.293
247.917
99.4455
198.333
56
497.907
993.333
248.962
496.667
65.986
331.111
124.501
248.333
99.6117
198.667
57
498.766
995.000
249.392
497.500
66.272
331.667
124.716
248.750
99.7837
199.000
58
499.625996.667
249.822
498. 333
166.559
332.222
124.931
249.167
99.9556
99.333
59
500.456:998.333
250.2371499.167
166.836
332.778
125.138
249.583
00.122
99.667
64
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
9°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
112.500
Tan.
50.1531
Arc.
Tan.
45.14~94
Arc.
90.0000
M.
75.1876
150.000
64.4569
128.571
56.4106
100.000
0
75.3261
150.278
64.5756
128.810
56.5145
112.70850.2455
100.185
45.2326
90.1667
1
75.4647
150.556
64.6944
129.048
56.6184
112.91750.3380
100.370
45.3158
90.3333
2
75.6080
150.833
64.8172
129.286
56.7260
113.12550.4335
100.556
45.4018
90.5000
3
75.7513
151.111
64.9401
129.524
56.8335
113.33350.5291
100.741
45.4879
90.6667
4
75.8898
151.389
65.0588
129.762
56.9374
113.542(50.6215
100.926
45.5711
90.8333
5
76.0283
151.667
65 1776
130.000
57.0413
113.750
50.7139
101.111
45.6542
91.0000
6
76.1669
151.944
65.2964
130.238
57.1453
113.958
50.8063
101.296
45.7374
91.1667
7
76.3054
152.222
65.4151
130.476
57 2492
114.167
50.8987
101.481
45.8206
91.3333
8
76.4487
152.500
65.5380
130.714
57.3567
114.375
50.9943
101.667
45.9067
91.5000
9
76.5920
152.778
65.6608
130.952
57.4642
114.583
51.0899
101.852
45.9927
91.6667
10
76.7305
153.056
65.7796
131.190
57.5682
114.792
51.1823
102.037
46.0759
91.8333
11
76.8691
153.333
65.8983
131.429
57.6721
115.000
51.2747
102.222
46.1591
92.0000
12
77.0076
153.611
66 0171
131.667
57.7760
115.208
51.3671
102.407
46.2423
92.1667
13
77.1461
153.889
66.1359
131.905
57.8800
115.417
51.4595
102.593
46.3255
92.3333
14
77.2847
154.167
66.2546
132.143
57.9839
115.625
51.5520
102.778
46.4086
92.5000
15
77.4232
154.444
66.3734
132.381
58.0878
115.833
51.6444
102.963
46. 4918 192.6667
16
77.5665
154.722
66.4962
132.619
58.1954
116.042
51.7399
103.148
46.5779
92.a333
17
77.7098
155.000
66.6191
132.857
58.3029
116.250
51.8355
103.333
46.6639
93.0000
18
77.8483
155.278
66.7378
133.095
58.4068
116.458
51.9279
103.519
46.7471
93.1667
19
77.9868
155.556
66.8566
133.333
58.5107
116.667
52.0203
103.704
46.8303
93.3a33
20
78.1254
155. 833
66.9754
133.571
58.6147
116.875
52.1127
103.889
46.9135
93.5000
21
78.2639
156.111
67.0941
133.810
58.7186
117.083
52.2052
104.074
46.9967
93.6667
22
78.4024
156.389
67.2129
134.048
58.8225
117.292
52.2976
104.259
47.0799
93.8333
23
78.5410
156.667
67.3316
134.286
58.9265
117.500
52.3900
104.444
47.1630
94.0000
24
78.6843
156.944
67.4545
134.524
59.0340
117.708
52.4856
104.630
47.2491
94.1667
25
78.8276
157.222
67.5773
134.762
59.1415
117.917
52.5811
104.815
47.3352
94.3333
26
78.9661
157.500
f 7. 6961
135.000
59.2454
118.125
52.6735
105.000
47.4183
94.5000
27
79.1046
157.778
67.8149
135.238
59.3494
118.333
52.7660
105.185
47.5015
94.6667
28
79.2432
158.056
67.9336
135.476
59.4533
118.542
52.8584
105.370
47.5847
94.8333
29
79.3817
158.333
68.0524
135.714
59.5572
118.750
52.9508
105.556
47.6679
95.0000
SO
79.5250
158.611
68.1752
135.952
59.6648
118.958
53.0463
105.741
47.7540
95.1667
31
79.6683
158.889
68.2981
136.190
59.7723
119.167
53.1419
105.926
47.8400
95.3333
32
79.8068
159.167
68.4168
136.429
59.8762
119.375
53.2343
106.111
47.9232
95.5000
33
79.9454
159.444
68.5356
136.667
59.9801
119.583
53.3267
106.296
48.0064
95.6667
34
80.0839
159.722
68.6543
136.905
60.0841
119.792
53.4192
106.481
48.0896
95.8333
35
80.2224
160.000
68.7731
137.143
60.1880
120.000
53.5116
106.667
48.1727
96.0000
36
80.3657
160.278
68.8960
137.381
60.2955
120.208
53.6071
106.852
48.2588
96.1667
37
80.5090
160.556
69.0188
137.619
60.4030
120.417
53.7027
107.037
48.3449
96.3333
38
80.6476
160.833
69.1376
137.857
60.5070
120.625
53.7951
107.222
48.4280
96.5000
39
80.7861
161.111
69.2563
138.095
60.6109
120.833
53.8875
107.407
48.5112
96.6667
40
80.9246
161.389
69.3751
138.333
60.7148
121.042
53.9799
107.593
48.5944
96.8333
41
81.0631
161.667
69.4938
138.571
60.8188
121.250
54.0724
107.778
48.6776
97.0000
42
81.2017
161.944
69.6126
138.810
60.9227
121.458
54.1648
107.963
48.7608
97.1667
43
81.3402
162.222
69.7314
139.048
61.0266
121.667
54.2572
108.148
48.8440
97.3333
44
81.4835
162.500
69.8542
139.286
61.1342
121.875
54.3528
108.333
48.9300
97.5000
45
81.6268
162.778
69.9771
139.524
61.2417
122.083
54.4483
108.519
49.0161
97.6667
46
81.7053
IGS.Oofi
70.0958
139.762
61.3456
122.292
54.5407
108.7'04
49.0993
97.8333
47
81.9039 103.333
70.2146
140.000
61.4495
122.500
54.6332
108.889
49.1824
98.0000
48
82.0424
163.611
70.3333
140.238
61.5535
122.708
54.7256
109.074
49.2656
98.1667
49
82.1809
163.889
70.4521
140.476
61.6574
122.917
54.8180
109.259
49.3488
98.3333
50
82.3242
164.167
70.5749
140.714
61.7649
123.125
54.9136
109.444
49.4349
98.5000
51
82.4675
164.444
70.6978
140.952
61.8724
123.333
55.0091
109.630
49.5209
98.6667
52
82.6061
164.722
70.8166 141.190
61.9764
123.542
55.1015
109.815
49.6041
98.8333
53
82.7446
165.000
70.9353 141.429
62.0803
123.750
55.1939
110.000
49.6873
99.0000
54
82.8831
165.278
71.054lil41.667
62.1842
123.958
55.2864
110.185
49.7705
99.1667
55
83.0216
165.556
71. 1728' 141. 905
62.2882
124.167
55.3788
110.37049.8537
99.3333
56
83.1650
165.833
71.2957
142.143
62.3957
124.37'5
55.4743
110.55649.9397
99.5000
57
83.3083
166.111
71.4185
142.381
62.5032
124.583
55.5699
110.741 50.0258
99.6667
58
83.4468
166.389
71.5373
142.619
62.6071
124.792
55.6623
110.92650.1089199.8333
59
65
TABLE XIV,— ACTUAL TANGENTS, ETC.
10°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~~O
Tan.
501.287
Arc.
Tan. Arc.
Tan.
Arc.
Tan.
125.346
Arc.
Tan. Arc.
1000.00
250.653500.000
167.113
333.333
250.000
100.288200.000
1
502.118
1001.67
251.068500.833
167.390
333.889
1 25. 554 i 250. 41 7
100.454 200.333
2
50:3.949
1003.33
251.484501.667
167.667
384.444
125.762
250.833
100.620200.607
3
503.77'.)
1005.00
251.899502.500
167.944
335.000
125.969
251.250
100.787201.000
4
504.610
1006.67
252.314503.333
168.221
335.556
126.177
251.667
100.953201.333
5
505.470
1008.33
252.744 504.167
168.507
336.111
126.392
252.083
101.125201.607
6
500.329
1010.00
253.174 505.000
168.794
336.667
126.607
252.500
101.297202.000
7
507.160
1011.67
253.589505.833
169.071
337.222
126.815
252.917
101.403202.333
8
507.991
1013.33
254.005j506. 667
169.348
337.778
127.022
253.333
101.629202.667
9
508.822
1015.00
254.420
507.500
169.625
338.333
127.230
253.750
101.795
203.000
1O
509.652
1016.67
254.836
508.333
169.902
338.889
127.438
254.167
101.962
203.333
11
5lO.5l2i10l8.33
255.265509.167
170.188
339.444
127.653
254.583
102.134
203.667
13
511.371 1020.00
255.695510.000
170.475
340.000
127.808
255.000
102.305
204.000
13
512.a02l021.67
256.110510.83-3
170.752
340.556
128.075
255.417
102.472
204.333
14
513.0331023.33
256. 526 ! 51 1.667
171.029
341.111
128.283
255.833
102.638
204.667
15
513.8641025.00
856.941512.500
171.306
341.667
128.491
256.250
102.804
205.000
16
514. 094:1026. 67
257.357513.333
171.582
342.222
128.699
256.667
102.970
205.333
17
515.554 1028.33
257.786!514.167
171.869
342.778
128.913
257.083
103.142
205.667
18
516.41311030.00
258. 216 : 515. 000
172.156
343.333
129.128
257.500
103.314
206.000
19
517.244
1031.67
258.632
515.833
172.432
343.889
129.336
257.917
103.480
206.333
2O
518.075
1033.33
259.047
516.667
172.709
344.444
129.544
258.333
103.647
206.667
21
51 8. 906! 1035. 00
259 462 '51 7. 500
172.986
345.000
129. 752(258.750
103.813
207.000
33
519.737
1036.67
259. 878 1518.333
173.263
345 . 556
129.959
259.167
103.979
207.333
33
520.596
1038.33
260.308519.167
173.550
346 111
130.174
259.583
104.151
207.667
34
521.455
1040.00
260.737520.000
173.83C.
346.667
130.389
260. OUO
104.323
208.000
35
522.286
1041.67
26 1.1 53 1520. 833
174.113
347.222
130.597
260.417
104.489
208.333
36
523.117
1043.33
261.568521.667
174 390
347.778
130.805
260.833
104.655
208.667
3 7
523.948
1045.00
261.9841522.500
174.607
348.333
131.012
261.250
104.822
209.000
38
524.779)1046.67
262.399
523.333
174.944
348.889
131.220
2(51 . 667
104.988
209.333
39
525.638
1048.33
262.829
524.167
175.231
319:444
131.435
262.083
105.160
209.667
30
526.498
1050.00
263.258
525 000
75.517
350.000
131.650
262.500
105.332
210.000
31
527. 328! 1051. 67
263.674
525.833
75.794
350.556
131.858
262.917
105.498
210.333
528.159
1053.33
264.089
526.667
76.071
351.111
132.065
263.333
105.664
210.607
33
528.990
1055.00
264.505
527.500
76.348
351.607
132.273
263.750
105.830
211.000
34
529.821
1056.67
264.920
528.333
76.625
352.222
132.481
264.167
105.997
211.333
35
530.680
1058.33
265.350
529.167
76.912
352.778
132.696
264.583
106.168
211.667
36
531.540
1060.00
265.780
530.000
77.198
353 333
132.911
265 . OCO
106.340
212.000
37
532.370
1061 67
266.195
530.833
77.475
353.889
133.118
205.417
106.507
212.333
38
533.201
1063.33
266.610
531.667
77.752
354.444
133.326
265.833
106.673
212.607
39
534.032
1065.00
267.026
532.500
ITS. 029
355.000
133.534
266.250
106.839
213.000
4O
534.863
1066.67
267.441
533.333
178.306
355.556
133.742
266.667
107.005
213 333
41
535.722
1068.33
267.871
534.167
178.592
356.111
133.957
267.083
107.177
213 667
43
536.582
1070.00
268.301
535.000
178.879
356.667
134.171
267.500
107 349
214.000
43
537.413
1071.67
268.716
535.833
179.15(5
357.222
134.379
267". 91 7
107.515
214.383
44
538.243
1073.33
269.132
536.667
179.433
357.778
134.587
208.333
107.682
214.667
45
539.074
1075.00
269.547
537.500
179.710
358.333
134.795
268.750
107.848
215.000
46
539.905
1076.67
269.962
538.333
179.987
358.889
135.002
269.107
108. 014 1215.333
47
48
540.764
541.624
1078.33
1080.00
270.392
270.822
539.167
540.000
180.273
180.560
359.444
300.000
135.217
135.432
209.583
27'0.000
108.18fi215.007
108.358216.0(0
49
542.455
1081.67
271.237
540.833
1 80. 837 j 360. 556
135.640
270.417
108.524216.333
5O
543.285
1083.33
271.653
541.667
181.114361.111
135.848
270.833
108.690
216.067
51
544.116
1085.00
272.068
542.500
181.391 361.667
136.055271.250
108.856
217.000
53
544 947
1086.67
272.483
543.333
181.668362.222
136.263271.667
109.023
217.333
53
54
545 806
546.666
1088.33
1090.00
272.913
273.343
544.167
545.000
181.954362.778
182.241 363.333
136.478 272.083
136.693272.500
109.195
109.367
217.667
218.000
55
547.497
1091.67
273.758
545.833
182.518363.889
136.901 272.917
109. 533 1 21 8. 333
56
548.328
1093.33
274.174
546.667
182.795364.444
137.10S273.333
109 699218.667
57
549.187
1095.00
274.604
547.500
183.081 365.000
137.323273.750
109.871 219.000
58
550.046 1096 67
275.033
548.333
183. 368; 365. 556
137.5-J8274.107
110 0431219.333
59
550.87711098 33
275.449
549.167
183.645366.111
137. 74 6 2 74. 583
110.209219.667
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
10.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
83.5853
166.667
71.6561! 142. 857
62.7111
125.000
55.7547
111.111
50.1921
100.000
O
83.7238
166.944
71.7748143.095
(52.8150
125.208
55.8472
111.29650.2753
100.167
1
83.8624
167.222
71.8936 143.333
62.9189
125.417
55.9396
111.481
50.3585
100. ass
2
84.0009
167.500
72.0123 143.571
63.0229
125.625
56.0320
111.6G7
50.4417
100.500
3
84.1394
167.778
72.1311 143.810
63.1268
125.833
56.1244
111.852
50.5249
100.667
4
84.2827
168.056
72.2539 144.048
63.2343
126.042
56.2200
112.037
50.6109
100.833
5
84.4260
168.333
72.3768 144.286
63.3418
126.250
56.3155
112.222
50.6970
101.000
6
84.5646
168.611
72.4956 144.524
63.4458
126.458
56.4080
112.407
50.7802
101.167
7
84.7031
168.889
72.6143 144.762
63.5497
126.667
56.5004
112.593
50.8(534
101.333
8
84.8416
169.167
72.7331
145.000
63.6536
126.875
56.5928
112.778
50.9465
101.500
9
84.9802
169.444
72.8518
145.238
63.7576
127.083
56.6852
112.963
51.0297
101.667
10
85.1235
169.722
72. 9747 1 145. 476
63.8651
127.292
56.7808
113.148
51.1158
101. 833
11
85.2668
170.000
73.0975 145.714
63.9726
127.500
56.8763
113.333
51.2018
102.000
12
85.4053
170.278
73.2163 145.952
64.0765
127.708
56.9687
113.519
51.2850
102.167
13
85.5438
170.556
73.3350146.190
(54.1805
127.917
57.0612
113.704
51.3682
102.333
14
85.6824
170.833
73.4538146.429
64.2844
128.125
57.1536
113.889
51.4514
102.500
15
85.8209
171.111
73.5726
146.667
64.3883
128.333
57.2460
114.074
51.5346
102.667
16
85.9642
171.389
73.6954
146.905
64.4959
128.542
57.3415
114.259
51.6206
102.833
17
86.1075
171.667
73.8183
147.143
64. (503-1
128.750
57.4371
114.444
51.7067
103.000
18
86.2460
171.944
73.9370
147.381
64.7073
128.958
57.5295
114.630
51.7899
103.167
19
86.3845
172.222
74.0558
147.619
64.8112
129.167
57.6219
114.815
51.8730
103.333
20
86.5231
172.500
74.1745
147.857
64.9152
129.375
57.7144
115.000
51.9562
103.500
21
86.6616
172.778
74.2933
148.095
(55.0191
129.583
57.8068
115.185
52.0394
103.667
86.8049
173.056
74.4162 148.333
65.1266
129.792
57.9023
115.370
52.1255
103.833
23
86.9482
173.333
74.53901148.571
65.2341
130.000
57.9979
115.556
52.2115
104.000
24
87.0867
173.611
74.6578
148.810
65.3381
130.208
58.0903
115.741
52.2947
104.167
25
87.2253
173.889
74.7765
149.048
65.4420
130.417
58.1827
115.926
52.3779
104.333
26
87.3638
174.167
74.8953
149.286
65.5459
130.625
58.2751
116.111
52.4611
104.500
27
87.5023
174.444
75.0140
149.524
65.6499
130.833
58.3676
116.296
52.5443
104.667
28
87.6456
174.722
75.1369
149.762
65.7574
131.042
58.4631
116.481
52.6303
104.833
29
87.7889
175.000
75.2597
150.000
65.8649
131.250
58.5587
116.667
52.7164
105.000
30
87.9275
175.278
75.3785
150.238
65.9688
131.458
58.6511
116.852
52.7996
105.167
31
88.0660
175.556
75.4973
150.476
66.0728
131.667
58.7435
117.037
52.8827
105.333
32
88.2045
175.833
75.6160
150.714
66.1767
131.875
58.8359
117.222
52.9659
105.500
33
88.3431
176.111
75.7348
150.952
66.2806.
132.083
58.9284
117.407
53.0491
105.667
34
88.4864
176.389
75.8576
151.190
66.3882
132.292
59.0239
117.593
53.1352
105.833
35
88.6297
176.667
75.9805
151.429
66.4957
132.500
59.1195
117.778
53.2212
106.000
36
88.7682
176.944
76.0992
151 .667
66.5996
132.708
59.2119
117.963
53.3044
106.167
37
88.9067
177.222
76.2180
151.905
66.7035
132.917
59.3043
118.148! 53. 3876
106.333
38
89.0453
177.500
76.3368
152.143
66.8075
133.125
59.3967
118.333
53.4708
106.500
39
89.1838
177.778
76.4555
152.381
66.9114
133.333
59.4891
118.519
53.5540
106.667
4O
89.3271
178.056
76.5784 152.619
67.0189
133.542
59.5847
118.704
53.6400
106.833
41
89.4704
178.333
76.7012!l52.a57
67.1264
133.750
59.6803
118.889
53.7261
107.000
42
89.6089
89.7475
178.611
178.889
76.8200 153. 095
76.93871153.333
67.2304
67.3343
133.958
134.167
59.7727
59.8651
119.07'4
119.259
53.8092
53.8924
107.167
107.333
43
44
89.8860
179.167
77.0575
153.571
67.4382
134.375
59.9575
119.444
53.9756
107.500
45
90.0245
179.444
77.1762
153.810
67.5422
134.583
60.0499
119.630
54.0588
107.667
46
90.1678
179.722
77.2991
154.048
67.6497
134.792
60.1455
119.815
54.1449
107.833
47
90.3111
180.000
77.4220
154.286
67.7572
135. 0(K
60.2411
120.000
54.2309
108. OCX
48
90.4496
180.278
77.5407
154.524
67.8611
135.208
60.3335
120.185
64.3141
108.167
49
90.5882
180.556
77.6595
154.762
67.9651
135.417
60.4259
120.370
54.3973
108.333
50
90.7267
180.833
77. 7782 i 155. 000
68.0690
135.625
60.5183
120.556
54.4805
108.500
51
90.8652
181.111
77.8970
155. 238
68.1729
135.833
60.6107
120,741 54.5637
108.667
52
91.0085
181.389
78.0198
155.476
68.2805
136.042
60.7063
120.92654.6497
108.833
53
91.1518
181.66?
78.1427155.714
68.3880
136.250
60.8019
121.111 54.7358
109.000
54
91.2904
181.944
78 2615; 155. 952
68.4919
136.458
60.8943
121.29654.8189
109.167
55
91.4289
182.222
78.3802156.190
68.5958
136.667
60.9867
121. 481 154.9021
109.333
56
91.5722
182.500
78.5031 156.429
68.7034
136.875
61.0823
121.66754.9882
109.500
57
91.7155
182.778
7'8. 6259 156. 667
68.8109
137.083
61.1779
121 .852
55.0742
109.667
58
91.8540
183 056
78.7447156.905
68.9148
137.292
61.2703
122.037
55.1574
109.833
59
67
TABLE XIV. — ACTUAL TANGENTS, ETC.
11°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° C irve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
551.708
1100.00
275.864
550.000
183.922
366.667
137.954
275.000
110.375
240.000
1
552.539
1101.67
276.280
550.833
184.199
367.242
138.161
475.417
110.542
240.333
2
553.370
1103.33
276.695
551.667
184.476
367.778
138.369
275.833
110.708
220.667
3
554.229
1105.00
277.125
552.500
184.764
368.333
138.584(276.250
110.880
241.000
4
555.088
1106.67
277.554
553.333
185.049
368.889
138.799
276.667
111.054
241.333
5
555.919
1108.33
477.97'0
554.167
185.346
369.444
139.007
477.083111.218
441.667
6
556.750
1110.00
278.385
555.000
185. 60^
370.000
139.214
277.5001111.384
244.000
- 7
557.581
1111.67
278.801
555.833
185.879
370.556
139.424
477.917
111.550
222.333
8
558.412
1113.33
479.216
556.667
186.156
37 1 .111
139.630
478.333
111.716
222.667
9
559.271
1115.00
279.646
557.500
186.443
371.66";
139.845
478.750
111.888
243.000
1O
560.131
1116.67
280.076
558.333
186.729
372.244
140.060
279.167
112.060
223.333
11
560.961
1118.33
280.491
559.167
187.006
372.778
140.268
279.583
112.247
423.667
12
561.792
1120.00
280.906
560.000
187.283
373.333
140.475
480.000
112.393
224.000
13
562.623
1121.67
281.322
560.833
187.560
373.889
140.683
480.417
112.559
224.333
14
563.454
1123.33
281.737
561.667
187.837
374.444
140.891
480.833
112.725
224.667
15
564.313
1125.00
282.167
562.500
188.124
375.000
141.10(3
281.250
112.897
425.000
16
565.173
1126.67
282.597
563.333
188.410
375.556
(41.321
281.667
113.069
225.333
17
566.003
1128.33
483.014
564.167
188.687
376.111
141.548
482.083
113.235
425.667
18
566.834
1130.00
283.428
565.000
188.964
376.667
141.736
484.500
113.401
446.000
19
567.694
1131.67
283.857
565.833
189.251
377.224
141.951
482.917
113.573
226.333
20
568.553
1133.33
284.287
566. 667
189.537
377.778
142.166
483.333
113.745
226.667
21
569.384
1135.00
284.702
567.500
189.814
378.333
144.381
483.750
113.912
247.000
22
570.215
1136.67
285.118
568.333
190.091
378.889
142.596
284.167
114.078
247.333
23
571.046
1138.33
385.683
569.167
190.368
379.444
144.796
284.583
114.244
247.667
24
571.876
1140.00
285.949
570.000
190.645
380.000
142.997
285.000
114.410
448.000
25
572.736
1141.67
286.378
570.833
190.932
380.556
143.212
285.417
114.582
448.333
2G
573.595
1143.33
286.808
571.667
191.218
381.111
143.447
285.833
114.754
448.667
21
574.426
1145.00
287.224
572.500
191.495
381.667
143.634
486.250
114.920
249.000
28
575.257
1146.67
287.639
573.333
191.772
382.222
143.842
286.667
115.087
249.333
29
576.088
1148.33
288.054
574.167
194.049
382.778
144.050
287.083
115.253
229.667
30
576.918
1150.00
288.470
575.000
192.326
383.333
144.258
287.500
115.419
230.000
31
577.778
1151.67
288.900
575.833
192.612
383.889
144.472
287.917
115.591
230.333
32
578.637
1153.33
289.329
576.667
192.899
384.444
144.687
288.333
115.763
230.667
33
579.468
1155.00
289.745
577.500
193. 176
385.000
144.895
488.750
115.929
231.000
34
580.299
1156.67
290.160
578.333
193.453
385.556
145.103
289.167
116.095
231.333
35
581.158
1158.33
290.590
579.167
193.739
386.111
145.318
289.583
116.267
231.667
36
582.018
1160.00
291.020
580.000
194.026
386.667
145.533
490.000
116.439
434.000
37
582.849
1161.67
291.435
580.833
194.303
387.224
145.740
290.417
116.605
232.333
38
583.679
1163.33
291.850
581.667
194.580
387.778
145.948
290.833
116.772
234.667
39
584.510
1165.00
292.266
582.500
194.857
388.333
146.156
291.250
116.938
233.000
40
585.341
1166.67
292.681
583.333
195.134
388.889
146.364
291.667
117.104
233.333
41
586.200
1168.33
293.111
584.167
195.420
389.444
146.579
294.083
117.276
233.667
42
587.060
1170.00
293.541
585.000
195.707
390.000
146.793
294.500
117.448
434.000
43
587.891
1171.67
293.956
585.833
195.984
390.556
147.001
294.917
117.614
234.333
44
588.722
1173.33
294.372
586.667
196.261
391.111
147.209
293.333
117.780
234.667
45
589.581
1175.00
294.801
587.500
196.547
391.667
147.424
493.750
117.954
235.000
46
590.440
1176.67
295.231
588.333
196.834
392.222
147.639
494.167
118.124
235.333
47
591.271
1178.33
495.646
589.167
197.111
392.778
147. 846 j 494. 583
118.290
235.667
48
592.102
1180.00
496.062
590.000
197.388
393.333
148.054
295.000
118.457
236.000
49
592.933
1181.67
296.477
590.833
197.665
393.889
148.262
295.417
118.623
236.333
50
593.764
1183.33
296.893
591.667
197.942
394.444
148.470
295.833
118.789
236.667
51
594.623
1185.00
297.322
592.500
198.228
395.000
148.685
296. 2501118. 961
437.000
52
595.483
1186.67
297.752
593.333
198 515
395.556
148 899
296.6671119 133
237.333
53
596.313
1188.33
298. 168 1594.167
198.792396.111
149.107
297.083; 119. 299
237.667
54
597.144
1190.00
498.583595.000
199. 069 1396.667
149.315
297.500 11 9. 465 1238. 000
55
598.004
1191.67
299.013595.833
199.355397.222
149.530
297.917 119. 6371238.833
56
598.863
1193.33
299.442596.667
199.642397.778
149.745
298.333 119.809i238.667
57
599.694
1195.00
299.858597.500
199.919398.333
149.952
498.750 119.975239.000
58
600.525
1196.67
300.273598.333
400.195398.889
150.160
499.167 140.144239.333
59
601.355
1198.33
300.6891599.167
400.472399.444
150.368
499.583140.308239.667
68
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve,
1O° Curve.
11°
"iST
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
91.9926
183.333
78.8634
157.143
69.0187 137.500
61.3627122.222
55.2406
110.000
~o~
92.1311
183.611
78.9822
157.381
69.1227137.708
61.4551 122.407
55.3238
110.167
i
92.2696
183.889
79.1009
157.619
69.2266 137.917
61.5475
122.593
55.4070
110.333
2
92.4129
184.167
79.2238
157.857
69.3341 138.125
61.6431
122.778
55.4930
110.500
3
92.5562
184.444
79.3467
158.095
69.4416 138.333
61.7387
122.963
55.5791
1 10.607
4
92.6948
184.722
79 4654
158.333
69.5456 138.542
61.8311
123.148
55.6623
110 833
5
92.8333
185.000
79.5842
158.571
69.6405 13P..750
61.9235
123.333
55.7455
111.000
6
92.9718
185.278
79.7029
158.810
69.7534138.958
62.0159 123.519
55.8286
111.1(57
7
93.1104
185.556
79.8217
159.048
69.8574 139.167
62.10831123.704
55.9118
111.333
8
93.2537
185.833
79.9445
159.286
69.9649
139.375
62.2039
123.889
55.9979
111.500
9
93.3970
186.111
80.0674
159.524
70.0724
139.583
62.2995
124.074
56.0839
111 667
1O
93.5355
186.389
80.1861
159.762
70.1763
139 792
62.3919
124.259
56.1671
111.833
11
93.6740
186.667
80.3049
160.000
70.2803
140000
62.4843
124.444
56.2503
112.000
12
93.8126
186.944
80.4237
160.238
70.3842
140.208
62.5767
124.630
56.3335
112.167
13
93.9511
187.222
80.5424
160.476
70.4881
140.417
62.6691
124.815
56.4167
112.333
14
94.0944
187.500
80.6653
160.714
70.5957
140.625
62.7647
125.000
56.5027
112.500
15
94.2377
187.778
80.7881
160.952
70.7032
140.833
62.8603
125.185
56.5888
112.667
16
94.3762
188.056
80.9069
161.190
70.8071
141.042
62.9527
125.370
56.6720
112.833
17
94.5147
188.333
81.0256
161.429
70.9110
141.250
63.0451
125.556
56.7551
113.000
18
94.6581
188.611
81 . 1485
161.667
71.0186
141.458
63.1407
125.741
56.8412
113.167
19
94.8014
188.889
81.2713
161.905
71.1261
141.667
63.2363
125.926
56.9273
113.333
20
94.9399
189.167
81.3901
162.143
71.2300
141.875
63.3287
126.111
57.0104
113.500
21
95.0784
189.444
81.5089
162.381
71.3339
142.083
63.4211
126.296
57.0936
113.667
22
95.2169
189.722
81.6276
162.619
71.4879
142.292
63.5135
126.481
57.1768
113.833
23
95.3555
190.000
81.7464
162.857
71.5418
142.500
63.6059
126.667
57.2600
114.000
24
95:4988
190.278
81.8692
163.09?
71.6493
142.708
63.7015
126.852
57.3460
114.167
25
95.6421
190.556
81.9921
163.333
71.7568
142.917
63.7971
127.037
57.4321
114.333
26
95.7806
190.833
82.1108
163.571
71.8608
143.125
63.8895
127.222
57.5153
114.500
27
95.9191
191.111
82.2296
163.810
71.9647
143.333
63.9819
127.407
57.5985
114.667
28
96.0577
191.389
82.3484
164.048
72.0686
143.542
64.0743
127.593
57.6817
114.833
29
96.1962
191.667
82.4671
164.286
72.1726
143.750
64.1667
127.778
57.7648
115.000
30
96.3395
191.944
82.5900
164.524
72.2801
143.958
64.2623
127.963
57.8509
115.167
31
96.4828
192.222
82.7128
164.762
72.3876
144.167
64.3579
128.148
57.9369
115.333
32
96.6213
192.500
82.8316
165.000
72.4915
144.375
64.4503
128.333
58.0201
115.500
33
96.7599
192.778
82.9503
165.238
72.5955
144.583
64.5427
128.519
58.1033
115.667
34
96.9032
193.056
83.0732
165.476
72.7030
144.792
64.6383
128.704
58.1894
115.833
35
97.0465
193.333
83.1960
165.714
72.8105
145.000
64.7339
128.889
58.2754
116.000
36
97.1850
193.611
83.3148
165.952
72.9144
145.208
64.8263
129.074
58.3586
116.167
37
97.3235
193.889
83.4336
166.190
73.0184
145.417
64.9187
129.259
58.4418
116.333
38
97.4621
194.167
83.5523
1-66.429
73.1223
145.625
65.0111
129.444
58.5250
116.500
39
97.6006
194.444
83.6711
166.667
73.2262
145.833
65.1035
129.630
58.6082
116.66V
40
97.7439
194.722
83.7939
166.905
73.3338
146.042
65.1991
129.815
58.6942
116.833
41
97.8872
195.000
83.9168
167.143
73.4413
146.250
65.2947
130.000
58.7803
117.000
43
98.0257
195.278
84.0355
167.381
73.5452
146.458
65.3871
130.185
58.8635
117.167
43
98.1643
195.556
84.1543
167.619
73.6491
146.667
65.4795
130.370
58.9466
117.333
44
98.3076
195.833
84.2772
167.857
73.7567
146.875
65.5751
130.556
59.0327
117.500
45
98.4509
196.111
84 . 4000
168.095
73.8642
147.083
65.6707
130.741
59.1187
117.667
46
98.5894
196.389
84.5188
168.333
73.9681
147.292
65.7631
130.926
59.2019
117.833
47
98.7279
196.667
84.6375
168.571
74.0720
147.500
65.8555
131.111
59.2851
118.000
48
98.8665
196.944
84.7563
168.810
74.1760
147.708
65.9479
131.296
59.3683
118.167
49
99.0050
197.222
84.8750
169.048
74.2799
147.917
66.0403
131.481
59.4515
118.333
50
99.1483
197.500
84.9979
169.286
74.3874
148.125
66.1359
131.667
59.5375
118.500
51
99.2916
197.778
85.1207
169 524
74.4949
148.333
66.2315
131.852
59.6236
118.667
52
99.4301
198.056
S5.2395
169.762
74.5989
148.542
66.3239
132.037
59.7068
118.833
53
99.5687
198.333
85.3583
170.000
74,7028
148.750
66.4163
132.222
59.79*00
119.000
54
99.7120
198.611
85.4811
170.238
74.8103
148.958
66.5119
132.407
59.8760
119.167
55
99.8553
198.889
85.6040
170 476
74.9178
149.167
66.6075
132.593
59.9621
119.333
56
99.9938
199.167
85.7227
170.714
75.0218
149.375
66.6999
132.778
60.0453
119.500
57
100.132
199.444
85.8415
170.952
75.1257
149.583
66.7923
132.963
60.1284
119.667
58
100.271
199.722
85.9602
171.190
75.2296
149.792
66.8847
133.148
60.2116
119.833
59
69
TABLE XIV. — ACTUAL TANGENTS, ETC.
12°
liiT
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° C
Tan.
urve.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
o
eoOre
1200.oO
301.104
600.000
200 749
400 . 001
150.576
300.000
120.474
240.000
i
603.046
1201 .67
301,531
600.833
201.030
400.556
150.791
300.417
120.646
240.333
2
603.90o
1203.33
301,964
601.667
201 322
401.111
151.006
300.833
120.818
240.667
3
604.788
1205.00
302.379
602.500
201.599
401 . 667
151.213
301.250
120.984
241.000
4
505.567
1206.67
302 79 J
603.333
201.876
402.222
151.421
301.667
121.150
241.333
5 600.4-26
1208.33
303.224
604.167
202.163
402.778
151.636
302.083
121.322
241 667
G
607 286
1210.00
3)3 654
o05.000
202.449
403.333
151.851
302.500
121.494
242.000
7
60S. 116
1211.67
3 J 4. 069
•505.833
202. 72(
403.889
152.059
302.917
121.660
242.333
8
608.917
1213.33
304.485
606 . 667
203.003
404.444
152.266
303.333
121.827
242.667
9
60 J. 778
1215.00
304.900
607.500
203.230
405.000
152.474
303.750
121.993
243.000
10
610.609
1216.67
305.316
603.333
203 . 557
405.556
152.682
304.167
122.159
243.333
11
611.468
1218.33
3)5.745
509.167
203 . 844
406.111
152.897
304.583
122.331
243.667
13
612.328
1220.00
306.175
510.000
201.13)
4015.667
153.112
305.000
122.503
244.000
13
613.158
1221.67
306.590
610 833
204.407
407.222
153.319
305.417
122.669
244.333
14
513.989
1223.33
30r.006611.66r
201.684
407.778
153.527 305.833
122.835
244.667
15
614.849
1225.00
307 436612.500
204.971
408.333
153. 742 1306. 250
1-23.007
245.000
16
615.708
1226.67
30 7. 865
613.333
2 35 . 257
408.889
153. 957 1306.667
123.179
245.333
17
616.539
1228.33
303.281
611.167
205.534
409.444
154.165 307.083
123.345
245.667
18
617.370
1230.00
503.696 615.000
3*5.811
410.000
54.372307.500
1-23.512
246.000
19
618.229
1231.67
309.126
615.833
208. 09 >
410.556
154.587
307.917
123.684
246.333
30
619.089
1233.33
309.556
616.667
206.381
411.111
54.802
308.333
123.856
246.667
21
619.919
1235.00
309.971
617.500
206.661
411.667
55.010
308.750
124.022
247.000
22
620.750
1236.67
310.33?
618.333
206.938
412.222
55.218
309.167
124.188
217.333
23
621.581
1238.35
310.802
619.167
207.215
112.778
55.4ft
309.583
124.354
247.667
34
622.412
1240.00
311.217
620.000
207.492
413.333
55.633
310.000
124.520
248.000
35
625.271
1241.67
311.647
620.833
207.779
413.889
55.848
310.417
121.692
248.333
36
624.131
1243.33
312.077
621.667
203.065
414.444
56.003
310.833
24.864
248.607
37
521.962
1245.00
312.492
622.500
208.342
415.000
56.271
311.250
125.030
219.000
28
625.792
1246.67
312 908
623.333
208.619
415.556
56.478
311.667
125.197
249.333
39
626.652
1248.33
313.337
624.167
208.905
416.111
56.693
312.083
125.369
249.667
30
627.511
1250.00
313.767
625.000
209.192
416.667
58.908
312.500
25.541
250.000
31
628.342
1251.67
314.183
625.833
209.469
417.222
57.116
312.917
25 . 7i i7
250.333
33
629.173
1253.33
314.598
626.667
209.746
417.778
57.324
313.333
145.878
250.667
33
630.032
1255.00
315.028
627.500
210.032
418.333
57.539
313.750
126.045
251.000
34
630.892
1256.67
315.457
623.333
210.319
418.889
57.753
314.167
126.217
251.333
35
6H.723
125S.33
315.873
629.167
210.596
419.444
57.961
314.583
126.3S3
251.667
36
632.553
1260.00
316.288
630.000
210.873
420 000
58.169
315.000
126.549
252.000
37
633.413
1261.67
316.718
630.833
211.159
420.556
58.384
315.417
126.721
252.333
38
634.272
1263.33
317.148
631.667
211.446
421.111
58.59'.)
315.833
126.893
252.607
39
635.103
1265.00
317.563
632.500
211.723
421.667
158.807
316.250
127.059
253.000
4O
635.931
1266.67
317.979
633.333
212.000
422.222
159.014
316.667
127.226
253.333
41
636.765
1268.33
318 394
634.167
212.2771422.778
159.222
317.083
127.392
253.607
43
137.595
1270.0D
318.809635.000
212.554423.333
159.430
317.500
127.558
254.000
43
638.455
1271.67
319.239615.833
212.840423.889
159.645
317.917
127.730
254.333
44
639.31411273.33
319.669
636.667
213.127424.444
159.860
318.333
127.902
254.667
45
610.145
1275.00
320.08}
637.500
213.404425.000
160.067
318.750
128.068
•255.000
46
610.976
1276.67
320.500638.333
213.681425.556
160.275
319.167
128.231
255.333
47
541.835
1278.33
320.929639.167
213.967426.111
160.490
319.583
128.40(5
255.667
48
612.695
1280.00
32 1.359 6 to. 000
214.251426.667
160.705
320.000
128.578
256.000
49
643.526
1281.67
321.775
610.833
214.531427.222
160.913
320.417
12H.744
256.333
1
5O
644.356
1283.33
322.190
641.667
214.808427.778
161.120
320.833
128.911
256.607
51
645.216
1285.00
322.620642.500
215.094428.333
161.335
321.250
129.033
257.000
53
646.075
1286.67
323.050:643.333
215.381 428.889
161.550
321.667
129.255
257.333
53
616 906
12,88.33
323. 465; 644. 167
215.658429.444
161.758
322.083
129.421
257.667
54
647.737
1290.00
323.880645.000
215.935430.000
161.966
322.500
129.587
258.000
55
648.596
1291.67
32 1. 310645. 833
216.221 430.556
162.181
322.917
129.759
258.333
56
649.456
1293.33
324.740646.607
216.508431.111
162.395
323.333
129.931
•258.667
57
650.287
1295.00
325.155647.500
216.785431.667
162.603
323.750
130. 097 1259.000
58
651.117
1296.67
895.871648.888
217.061 432.222
162.811
324.167
130. 263 1 259. 333
59 651.977
1298.33
326. 000 1649.1 67
217.348432.778
163 026
324 583
130. 435 1 259. 667
70
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
12°
M.
Tan.
Arc.
Tan.
Arc. 1 Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
100.409
200.000
86.0790
17 1.429 175.3336
150.000
66.9771
133.333
60.2948
120. 000
~o"
100.553
100.696
200.278
200.556
86.2019
86.3247
171. 667)75. 4411 150.208
171.90575.5486 150.417
67.0727
67.1683
133.519
133.704
60.3809
60.4669
120.167
120.333
1
2
100.834
200.833
86.4435
172.143
75.6525
150.625
67.2607
133.889
60.5501
120.500
3
100.973
201.111
86.5622
172.381
75.7565
150.833
67.3531
134.074
60.6333
120.667
4
101.116
201.389
86.6851
172.619
75.8640
151.042
67.4487
134.259
60.7193
120.833
5
101.260
201.667
86.8079
172.857
75.9715
151.250
67.5442
134.444
60.8054
121.000
G
101.398
201.944
86.9267
173.095
76.0754
151.458
67.6366
134.630
60.8886
121.167
7
101.537
202.222
87.0454
173.333
76.1794
151.667
67.7291
134.815
60.9718
121.333
8
101.675
202.500
87.1642
173.571
76.2833
151.875
67.8215
135.000
61.0550
121.500
9
101.814
202.778
87.2830
173.810
76.3872
152.083
67.9139
135.185
61.1381
121.667
1O
101.957
203.056
87.4058
174.048
76.4948
152.292
68.0094
135.370
61.2242
121.833
11
105.100
203.333
87.5287
174.286
76.6023
152.500
68.1050135.556
61.3102
122.000
1 2
102.239
203.611
87.6474
174.524
76.7062
152.708
68.1974135.741
61.3934
122.167
13
102.377
203.889
87.7662
174.762
76.8101
152.917
68.2898135.926
61.4766
122.333
14
102.521
204.167
87.8890
175.000
76.9177
153.125
68.3854136.111
61.5627
122.500
15
102.664
204.444
88.0119
175.238
77.0252
153.333
68.4810 136.296
61.6487
122.667
16
102.803
204.722
88.1306
17'5.476
77.1291
153.542
68. 5734 1136.481
61.7319
122.833
17
102.941
205.000
88.2494
175.714
77.2330153.750
68.6658136.667
61.8151
123.000
18
103.084
205.278
88.3723
175.952
77.3406
153.958
68.7614
136.852
61.9011
123.167
19
103.228
205.556
88.4951
176.190
77.4481
154.167
68.8570
137.037
61.9872
123.333
20
103.366
205.833
88.6139
176.429
77.5520 154.375
68.9494
137.222
62.0704
123.500
21
103.505
206.111
88.7326
176.667
77.6559154.583
69.0418
137.407
62.1536
123.667
22
103.643
206.384
88.8514
176.905
77.7599 154.792
69.1342
137.593
62.2368
123.833 23
103.782
206.667
88.9701
177.143
77. 8638 1155. 000
69.2266
137.778
62.3199
124.000
24
103. 925 1206.944
89.0930
177.381
77.9713J155.208
69.3222
137.963
62.4060
124.167
25
104. 068! 207. 222
89.2158
177.619
78.07881155.417
69.4178
138.148
62.4920
124.333
26
104.207
207.500
89.3346
177.857
78.1828
155.625
69.5102
138.333
62.5752
124.500
27
104.345
207.778
89.4534
178.095
78.2867
155.833
69.6026
138.519
62.6584
124.667
28
104.489
208.056
89.5762
178.333
78.3942
156.042
69.6982
138.704
62.7445
124.833
29
104.632
208.333
89.6991
178.571
78.5017
156.250
69.7938
138.889
62.8305
125.000
30
104.771
208.611
89.8178
178.810
78.6057
156.458
69.8862
139.074
62.9137
125.167
31
104.909
208.889
89.9366
179.048
78.7096
156.667
69.9786
139.259
62.9969
125.333
32
105. 052 1209.167
90.0594
179.286
78.8171
156.875
70.0742
139.444
63.0829
125.500
33
105.196:209.444
90.1823
179.524
78.9246
157.083
70.1698
139.630
63.1690
125.667
34
105. 334 1209. 722
90.3010
179.762
79.0286
157.292
70.2622
139.815
63.2522
125.833
35
105.473 210.000
90.4198
180.000
79.1325
157.500
70'. 3546
140.000
63.3354
126.000
36
105.616J210.278
90.5427
180.238
79.2400
157.708
70.4502
140.185
63.4214
126.167
37
105.759i210.556
90.6655
180.476
79.3475
157.917
70.5458
140.370
63.5075
126.333
38
105.898
210.833
90.7843
180.714
79.4515
158.125
70.6382
140.556
63.5907
126.500
39
106.036
211:111
90.9030
180.952
79.5554
158.333
70.7306
140.741
63.6738
126.667
40
106.175
211.389
91.0218
181.190
79.6593
158.542
70.8230
140.926
63.7570
126.833
41
106.314211.667
91.1405
181.429
79. 7633 '158. 750
70.9154
141.111
63.8402
127.000
42
106.459211.944
91.2634
181.667
79.8708 158.958
71.0110
141.296
63.9263127.167
43
106.600212.222
91.3862
181.905
79.9783159.167
71.1066
141.481
64.0123 127.333
44
106.739212.500
91.5050
182.143
80.0822 159.375
71.1990
141.667
64. 0955 ; 127. 500
45
106.877
212.778
91.6238
182.381
80.1862
159.583
71.2914
141.852
64.1787127.607
46
107.020
213.056
91.7466
182.619
80.2937
159.792
71.3870
142.037
64.2647127.833 47
107.164
213.333
91.8695
182.857
80.4012
160.000
71.4826
142.222
64.3508 128.000 48
107-302
213.611
91.9882
183.095
80.5051
160.208
71.5750
142.407
64.4340
128.167,49
107.441
213.889
92.1070
183.333
80.6091
160.417
71.6674
142.593
64.5172
1 28.333 50
107.584
214.167
92.209H
183.571
80.7166
160.625
71.7630
142.778
64.6032128.500 51
107.727
214.444
92.3527
183.810
80.8241
160.833
71.8586
142.96?,
64.6893 128.667: 52
107. 866
214 722
92.4714
184.048
80.9280
161.042
71.9510
143.148
64. 7725! 128. 833 53
108.005
21 o! 000
92.5902
184.286
81.0320
161.250
72.0434 143.333
64.8556 129.000 54
108.148
215.278
92.7131
184.524
SI. 1395
161.458
72.1390143.519
64.9417:129.167 55
108-291
215.556
92.8359
184.762
SI. 2470
161.667
72.2345143.704
65.0278 129.333 56
108.430
215.833
92.9547
185.000
81.3509
161.875
'2.3270143.889
65.1109 129.500
57
108.568
216.111 93.0734
185.238
81.4549
162.083
"2.4194 144.074
65.1941 129.667
58
108.712
21 6. 389 193.1 963
185. 476181. 5624
162.292
"-2.5149 144.259
65. 28021 129. 833
59
71
TABLE XIV. — ACTUAL TANGENTS, ETC-
13°
1° Curve.
2° Carve.
3° Curve.
4° Curve.
5° Curve.
M.
Tau.
Are.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
652.8:3(3 1300.00
326.430
650.000217.632
433.333
163.241 325.000
130.60?
260.000
1
653.667
1301.67
326.846
650.833217.911
433. 889 163. 448 325. 4 r
130.77:3 260.8:3:3
2
654.498
1303.3
327.261
651.667.218.188
434.444 163.656325.83:
130.940260.607
3
655.329
1305.00
327.676
652.500218.465
435.000 163.864326.250
131.106261.000
4
656.164
1308.6?
328.092
653. 333 '218. 7452
435.556
164. 072 326. 66~
181. 27S
261.333
5
657.011
1308.33
328.522
654.167219.029
436.111
164.287327.08:
131.444
261.667
6
657.878
1310.00
328.951
655.000219.315
436.667
164.501
327.500
131.616
262.000
7
658. 70J
1311.67
329.367
655.833219.592
437.222
164.709
327.917
131.782
262.333
8
659.510
1313.33
329.782
656.6671219.869
437.778
164.917
328. 33?
131.948
262.667
9
660.399
1315.00
330.212
657.500
220.156
438.333
165.132
328.750
132.120
263.000
10
661.259
1316.67
330.642
658.333
220.442
438.889
165.347
329.167
132.292
263.333
11
662.090
1318.33
331.057
659.167220.719
439.444
165.554
329.583
132.458
263.667
13
662.921
1320.00
331.472
660.000220.996
440.000
165.762
330.000
132.625
264.00)
13
663.780
1321.67
331.902
660.833221.283
440.556
165.977
330.417
132.797
264.333
14
664.639
1323.33
332.332
661.667221.569
441.111
166.192
330.833
132.968
264.667
15
665.470
1325.00
332.747
662.500i221.846
441.66?
166.400
331.250
133.135
265.000
16
666.301
1326.67
533.163
663.333222.123
442.222
166.608
331.667
133.301
265.333
17
667.160
1328. ,33
333.592
664.167222.410
442.778
166.822
332.08:3
133.473
265.667
18
668.020
1330.00
334.022
665.OOiV222.696
443.333
167.037
332.500
133.645
266.000
19
668.851
1331.67
334.438
665.833
222.973
443.889
167.245
332.917
133.811
266.333
30
669.681
1333.33
194.858
666.667
223.250
444.444
167.453
333.333
133.977
266.667
21
670.541
1335.00
335.283
667.500
223 537
445.000
167.668
333.750
134.149
267.000
22
671.400
1336.67
335.712
668.333
223.823
445.556
167.883
334.167
134. 32 1(267. 333
23
672.231
1338.33
336.128
669.167
224.100
446.111
168.090
334.583
134.487
267.667
34
673.062
1340.00
336.543
670.000
224.377
446.667
1 68. 298
335.000
34.654
268.000
35
673.921
1341.67
336.973
670.833
224.664
447.222
168.513
335.417
34.825
268.303
36
674.781
1343.33
3:37.403
671.667
224.950
447.778
168.728
335.833
34.997
268.667
37
675.612
1345.00
337.818
672.500
225.227
448.333
168.936
336.250
35.164
269.000
38
676.442
1346.67
338.234
673.333
225.504
448.889
169.143
336 667
35.330
269.333
39
677.302
1348.33
338.663
674.167
225.791
449.444
169.358
337.083
135.502
269.667
30
678.161
1350.00
339.093
675.000
226.077
450.000
169.573
337.500
35.674
270.000
31
678.992
1351.67
339.509
675.833
226.354
450.556
169.781
337.917
35.840
270.333
33
679.823
1353.33
339.924
676.667
226.631
451.111
169.989
338.3:33
36.006
270.667
33
680.682
1355.00
340.354
677.500
226.918
451.667
170.204
338.750
36.178
271.000
34
681.542
1356.67
340.783
678.333
227.204
452.222
170.418
339.167
36.350
271.333
35
682.373
1358.33
341.199
679.167
227.481
452.778
70.626
339.583
36.516
271.667
36
683.203
1360.00
341.614
680.000
227.758
453.333
70.834
340.000
36.682
272.000
37
684.063
1361.67
342.044
680.833
228.044
453.889
171.049
340.417
36.854
272.333
38
684.922
1363.33
542.474
681.667
228.331
454.444
71 .264
340.833
37.026
272.667
39
685.753
1365.00
342.889
682.500
228.608
455.000
71.472
341.250
37.193
273.000
4O
686.584
1366.67
343.305
683.333
228.885
455.556
71.679
341.667
37,359
273.333
41
687.443
1368.33
343.734
684.167
229.171
456 111
171.894
342 083
37.531
273.667
43
688.303
1370.00
344.164
685.000
229.453
456 . 667
172.109
342.500
37.703
274.000
43
689 134
1371 67
344.579
685.833
229.735
457.222
172.317
342.917
37.869274.333
44
689.964
1373.33
344.995
686.667
230.012
457.778172.525
343.333
38.035
274 . 667
45
690.824
1375.00
345.425
687.500
230 29S
458.333 172.739
343 750
38.207
275.000
46
691.683
1376.67
345.854
688.333
230.585
458.889 172.954
344.167
38.379
275.333
47
692.514
1378.33
346.270
689.167
330.862
459.444 173.102
344.583
38.545
275.667
48
49
693.345
694.204
1380.00
1381.67
346.685
347.115
690.000
690.833
231.139
231.425
460.000
460.556
173.370
173.585
345.000
345.417
38.711
38.883
276.000
276.333
5O
695.064
1383.33
347.545
691.667
231.712
461.111
173.800
345.833
39.055
276.667
51
695.895
1385 00
347.960
692.500231.989
461. 667 1174.007
346.250
39.221
277.000
53
696.725
1386.67
348.375
693.333232.266
462.222 174.215
346.667
39.388
277.333
53
697.585
1388.33
348.805
604.167:232.552
462.778:174.430
347.083
39.560
277.667
54
698.444
390.00
349.235
695.000232.839
463.333 174. 645 i 347. 500
39.732
278.000
55
599.275
1391.67
349.650
695.833233.116
463.889 174.853347.917
39.898
278.333
56
700.106
1393.33
350.066
696.667233.393
464.444 175.060348.333
40.064
278.607
57
700.965
395.00
350.496
697.500233.679
465.000 175.275|348.750
40.236
279.000
.58
701.895
1396.67
50.925
698.333233.966
465.556 175.490:349.167
40.408
279.333
59
702.656
1398.33
51.341
699.167,234.243
466. Ill 1175.698:349. 583
40.574
279.667
TABLE XIV. — ACTUAL TANGENTS, ETC
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
13°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan
Arc.
M.
103.855:216.607
93.3191
185.714
81.0699162.500
72.6105
144.444
65.3662
130.000
()
106. 993 216. 944
93.4379
185.952
81.7738162.708
72.7029
144.630
65.4494
130.167
1
109. 132 217. 22£
93.5566
186.190
81.8778162.917
72 7 953
144.815
65.5326
130.333
2
109.2701217.500
93.6754
186.429
81.9817 163.125
72.8878
145.000
65.6158
130.500
3
109.409
217.778
93.7942186.667
82.0856 163.333
72.9802
145. 185
65.6990
130.667
4
109.552
218.056
93.9170
186.905
82.1932163.542
73.0757
145.370
65.7850
130.833
5
109.696
218.333
94. 0399 187. 143
82. 3007)163. 750
73.1713
145.556
65.8711
131.000
6
109.834
218.611
94.1586
187.381
82.4046:163.958
73.2637
145.741
65.9543
131.167
7
109.973
218.889
94.2774
187.619
82. 5085 1164.167
73.3561
145.926
66.0374
131.333
8
110.116
219.167
94.4002
187.857
82.6161
164.375
73.4517
146.111
66.1235
131.500
9
110.259
219.444
94.5231
188.095
82.7236
164.583
73.5473
146.296
66.2096
131.667
1O
110.398
219.722
94.6419 188.333
82.8275
164.792
73.6397
146.481
66.2927
131.833
11
110.53(3
220.000
94.7606
188.571
82.9314
165.000
73.7321
146.667
66.3759
132.000
12
110.680
220.278
94.8835 188.810
83.0390
165.208
73.8277
146.852
66.4620
132.167
13
110.823
220.556
95.0063
189.048
83.1465
165.417
73 9233
147.037
66.5480
132.333
14
110.961
220.833
95.1251
189.286
83.2504
165.625
74.0157
147.222
66.6312
132.500
15
111.100
221.111
95.2438
189.524
83.3543
165.8:33
74.1081
147.407
66.7144
132.667
16
111.243
221.389
95.3667
189.762
83.4619
166.042
74.2037
147.593
66.8005
132.833
17
111.387
221.667
95. 4895 1190.000
83.5694
166.250
74.2993
147.778
66.8865
133.000
18
111.525
221.944
95.6083
190.238
83.6733
166.458
74.3917
147.963
66.9697
133.167
19
111.664
222.222
95.7271
190.476
83.7772
166.667
74.4841
148.148
67.0529
133 333
20
111.807
222.500
95.8499
190.714
83.8848
166.875
74.5797
148.333
67.1389
133.500
21
111.950
222.778
95.9728
190.952
as. 99243
167.083
74.6753
148.519
67.2250
133.667
22
112.089
223.056
96. 0915' 191. 190
84.0962
167.292
74.7677
148.704
67.3082
133.833
23
112.227
223.338
96.2103ll91.429
84.200!
167.500
74.8601
148.889
67.3914
134.000
24
112.371
223.611
96.3331
191.667
84.3077
167.708
74.9557
149.074
67.4774
134.167
25
112.514
223.889
96.4560
191.905
84.4152
167.917
75.0513
149.259
67.5635
1:34.333
26
112.652
224.167
96.5747
192.143
84.5191
168.125
75.1437
149.444
67.6467
134.500
27
112.791
224.444
96.6935
192.381
84.623U
168.333
75.2361
149.630
67.7298
134.667
28
112.934
224.722
96.8163
192.619
84.7306
168.542
75.3317
149.815
67.8159
134.833
29
113.078
225.000
96.9392
192.857
84 8381
168.750
75.4273
150.000
67.9019
135.000
3O
113.216
225.278
97.0580
193.095
84.9450
168.958
75.5197
150.185
G7.9851
135.167
31
113.356
225.556
97.1767
193.333
85.0459
169.167
75.6121
150.370
68.0683
135.3:33
32
113.498
225.833
97.2996
193.571
85.1535
169.375
75.7077
150.556
68.1544
135.500
33
113.641
226.111
97.4224
193.810
85.2610
169.583
75.8033
150.741
68.2404
135.667
34
113.780
226.389
97.5412
194.048
85 3649
169.792
75.8957
150.926
68.3236
135 833
35
113.918
226.667
97.6599
194.2<86
85.4688
170.000
75. -9881
151.111
68.4068
136.000
36
114.062
226.944
97.7828
194.524
85.5764
170.208
76.0837
151.296
68.4928
136.167
37
114.205
227.222
97.9056
194.762
R5.6839
170.417
76.1793
151.481
68.5789
136.333
38
114.343
227.500
08.0244
195.000
85.7878
170.625
76.2717
151.667
68.6621
136.500
39
114.482
227.778
98.1432
195.238
85.8917
170.833
76.3641
151.852
68.7453
136.667
40
114.625
228.056
98.2660
195.476
85.9993
171.042
76.4596
152.037
68.8313
136.833
41
114.769
228.333
98.3889 195.714
86.1068
171.250
76.5552
152.222
68.9174
137.000
42
114.907
228.611
98.5076
195.952
86.2107
171 .458
76.6476
152.407
69.0006
137.167
43
115.046
228.889
98.6264
196.190
86.3146
171.667
76.7400
152.593
69.0837
137.333
44
115.189
229.167
98. 7492 i 196. 429
86.4222
171.875
76.8356
152.778
69.1698
137.500
45
115.332
229.444
98.8721
196 667
86.5297
172.083
76.9312
152.963
69.2559
137.607
46
115.471
229.722
98.9908196.905
86.6336
172.292
77.0236
153.148
69.3390
137.833
47
115.609
230. (00
99.1096
197.143
86.7375
172.500
77.1160
153.333
69.4222
138.000
48
115.7'53
230.278
99.2325 197.381
86.8451
172.708
77.2116
153.519
69.5083
138.167
49
115.896
230 556
09.3553 197.619
86.9526
172.917
77.3072
153.704
69.5943
138.3:33
5O
116.034
230.833
99.4741
197.857
87.0565
173.125
77.3996
153.889
69.6775
138.500
51
116.173231.111
99.5928198.095
87.1604
173 333
77.4920
154.074
69.7607
138.667
52
116.316
231.389
99.7157
198.333
87.2680
173.542
77.5876
154.25969.8468
1:38.833
53
116.460
231.667
99 8385
198.571
87.3755
173.750
77.6832
154 44469.9328139000
54
116 5981281.944
99 9573 198.810
87.4794
173.958
77.7756
154.630170 0160
139.167
55
116.737232 222
100.07'6
199 048
87.5833
174 167
77 8680
154. 81 5 ; 70. 0992
139.333
56
116.880232.500
100.199 199.286
87.6909
174.375
77.9636
155.00070.1852
139.500
57
117.023232.778
100.322
199 524
87.7984
174.583
78.0592
155.1&5J70.2713
139.667
58
117.162233.056
100.440 199.762
87.9023
174.792
78.1516
155.370170.3545
139.833
59
73
TABLE XIV. — ACTUAL, TANGENTS, ETC.
140
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
IviT
Tan.
Arc.
Tan.
Arc.
Tan.
2347520
Arc.
Tan.
Arc.
Tan.
Arc.
o
703.480
1400.00
851.756
7UO.OOO
406.667
175.906
350.000
140. 740 280. 000
i
04 346 1401.67
S53.186
700.833
J34.806
467.222
176.121
350.417
140.912
280.3*3
2
705. 205 403.33
352.616
701.667
235.093
467.778
176.335
350.833
141.084
V80.007
3
"06.065
405.00
353.045
702.500
235.379
468.333
176.550
'351.250
141.2561281.000
4
"06.924
406.67
353.475
703.333
.>35.606
408.889
176.765
•351.607
141.428
281.333
5
"07.755
408.133
353.890
704.107
235.943
469.444
176.973
352.083
141.594
281 607
0
708.586
410.00
354.306
705.000
236.220
470.000
177.181
352.500
141.760
282.000
7
"09.445
411.67
354.736
705.833
236.506
470.556
177.396
352.917
141.932
282.333
8
"10 305
1413.33
355.165
706.667
236.793
471.111
177.611
353.3:33
142.104
282.607
9
"11.136
1415.00
355.581
707.500
237.070
471.667
177.818
353.750
142.271
283.000
10
"11.966
1416.67
355.996
708.333
237.347
472.222
178.026
354.167
142.437
283. a33
11
"12.826
1418.33
356.426709.167
237.633
472 7i'8
178.241 354.583
142.609
283.667
12
713.685
1420.00
356.856
710.000
237.920
473 '.333
178.456355.000
142.781
284.000
13
714.516
1421.67
357.271
710.833
238.197
473.889
178. 664 a55. 41 7
142.947
284.333
14
715.347
1423.33
357.687711.667
238.473
474.444
178.871
355.833
143.113
284.667
15
716.206
1425.00
358.116
712.500
238.760
475.000
179.086,356.250
143.285
285.000
10
717.066
1426.67
358.546
713.333
239.047
475.556
179.301
356.667
143.457
285.333
17
717.896
1428.33
358.961
714.167
239.323
476.111
179.509
357.083
143.623
285.667
18
718.727
1430.00
359.377
715.000
239.600
476.667
179.717
357.500
143.789
286.000
19
719.587
1431.67
359.807
715.833
239.887
477 . 222
179.932
357.917
143.961
286.333
2O
720.446
1433.33
360.236
716.667
240.173
477.778
180.146
358.333
144.133
286.667
21
721.277
14&5.00
360.652
717.500
240.45:
478.333
180.354
358.750
144.299
287.000
22
722.108
1436.67
361.067
718.333
240.727
478.889
180.502
359.167
144.466
287.333
23
722.967
1438.33
301.497
719.167
241.014
479.444
180.777
359.583
144.638
287.007
24
723.827
1440.00
361.927
720.000
241. 300
480.000
180.992
300.000
144. 810 1288.000
25
724.657
1441.67
362.342
720.833
241.577
480.556
181.199
360.417
144.976
288.333
26
725.488
1443.33
362.757
721.667
241.854
481.111
181.407
360.8313
145.142288.607
27
726.348
1445.00
363.187
722.500
242.141
481.667
181.622
361.250
145.314
289.000
28
727.207
1446.67
363.617
723,333
242.427
4S2.222
181.837
361.607
145.486289.333
29
728.067
1448.33
364.047
724,167
242.714
482.778
182.052
362.083
145.658289 607
SO
728.926
1450.00
364.476
725.000
243.000
483.333
182.267
362.500
145.8:30290.000
31
729.757
1451.67
364.892
725.833
243.277
483.889
182.475
362.917
145.996290.333
32
730.588
1453.33
365.307
726.667
243.554
484.444
182.682
363.333
146.162
290.607
33
731 .447
1455.00
365.737
727.500
243.841
485.000
182.897
303.750
146. 334 291. 000
34
732.307
1456.67
366.167
728.333
244.127
485.556
183.112
304.167
146.506
291.333
35
733.137
1458.33
366.582
729.167
244.404
486.111
183.320
364.583
146.672
201.607
36
733.968
1460.00
366.998
730.000
244.681
486.667
183.528
365.000
146. 838 : 292. 000
37
734.828
1461.67
367.427
7:30.833
244.968
487.222
183.742
365.417
147.010
292.333
38
735.687
1463.33
367.857
731.667
245.254
487.778
183.957
305.83:
147. 182 292. Of 7
39
736.518
1465.00
368.272
732.500
245.531
488.333
i 84. 165
306.250
147.349
293.000
4O
737.349
1466.67
368.688
7:33.333
245.808
488.889
184.373
366.66"
147.515
293.333
41
738.208
1468.33
369,118
734.167
216.095
489.444
184.588
307.083
147.687
293.667
42
739.068
1470.00
369.547
735. 000
246.381
490.000
184.803
307.500
147.859
294.000
43
739.927
1471.67
369.977
735.833
246.668
490.556
185.018
307.91"
148.031'294.333
44
740.786
1473.33
370.407
736.667
246.954
491.111
185.232
308. ass
148.203
294.007
45
741.617
1475.00
370.822
737.500
247.231
491.66"
185.440
368.750
148.369295.000
46
742.448
1476.67
371.233
738.333
247.508
492.22'.
185.648
369.16"
148.535
295.333
47
743.307
1478.33
371.667
739.167
247.795
492.778
185.803
369.583
148.7W
205.007
48
744.167
1480.00
372.097
740. (XX
248.081
403.33:
186.078
370.000
148.879
296.000
49
744.998
1481.67
372.513
740.833
248.358
493.889
186.286
370.417
149.045,296.333
1
50
745.829
1483. a
372.928
741.667
248.635494.444
186.493
370 83:
149.211
206.667
51
7'46.688
1485.00
373.358
742.500
248.922495.000
186.708
371.250
149.383297.000
52
747.547
1486 67
373.787
743.333
249.208495 5U
186.923
371.60"
149.555
297.333
53
748.378
1488.33
374.203
744.167
249 4&5406.111
187.131
372.08:
149.721
2»7.f>07
54
749.209
1490.00
374.618
745.000
249.762496.66"
187.339
372.500
149. 888 298. Of 0
55
750.068
1491.6"
375.048
745.833
250. 049 497. 22x
187.553372.91"
150.060
208.333
56
750.928
1493.3:
375.478
746.66"
250.335497.778
187.768373.33:
150.231
208.007
57
751.787
1495.00
375.907
747.500
250.622498.333
187.983373.750
150.403
209.000
58
752. 647 1496.6"
376.337
748.33:
250.908498.881)
188.198374.16*
150.575
200.333
59
753.47811498.3:
376.753
749.16"
251.185499.444
188.406
374.58:
1 50. 742 299. Of, 7
74
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
14°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
117.300
233.333
100.559
200.000
88.0062
175.000
78.2440
155.556
70.4377
140.000
0
117.444
233.611
100.682
200.238
88.1138
175.208
78.3396
155.741
70.5237
140.167
1
117.587
233.889
100.805
200.476
88.2213
175.417
78.4352
155.926
70.6098
140.333
2
117.730
234.167
100.928
200.714
88.3288
175.625
78.5308
156.111
70.6958
140.500
3
117.874
234.444
101.051
200.952
88.4363
175.833
78.6264
156.296
70.7819
140.667
4
118.012
234 722
101.169201.190
88.5402
176.042
78.7188
156.481
70.8651
140.833
5
118.151
235.000
101.288201.429
88.6442
176.250
78.8112
156 667
70.9482
141.000
6
118.294
118.437
235.278
'35.556
101.411 201.667
101. 534 1201. 905
88.7517
88.8592
176.458
176.667
78.9068
79.0024
156.852
157.037
71.0343
71.1203
141.167
141.333
7
8
118.576
235.833
101.653
202.143
88.9631
176.875
79.0948
157.222
71.2035
141.500
9
118.714
236.111
101.771 202.381
89.0671
177.083
79.1872
157.407
71.2867
141.667
10
118.858
236.389
101.894 202.619
89.1746
177.292
79.2828
157 593
71.3728
141.833
11
119.001
•,»36 667
102.017202.857
89.2821
177.500
79.3783 157.778
71.4588
142.000
12
119.139J236.944
102.130203.095
89.3860
177.708
79.4708
157.963
71.5420
142.167
13
119.278237.222
102.255203.333
89.4900
177.917
79.5632158.148
71.6252
142.333
14
119.421i237.500
102.377203.571
89.5975
178.125
79.6587
158.333
71.7112
142.500
15
119 565237.778
102.500203.810
89.7050
178.333
79.7543158.519
71.7973 142.667
16
119.703238.056
102.619204.048
89.8089
178.542
79.8467
158.704
71.8805142.833
17
H9. 842 238.383
102.738204.286
89.9129
178.750
79 9391
158.889
71 9637 143.000
18
119.985
238.611
102.861
204.524
90.0204
178 958
80.0347
159.074
72.0497
143.167
19
120.128
238.889
102.984
204.762
90.1279
179.167
80.1303
159.259
72.1358
143.333
20
120.267
239.167
103.102
205.000
90.2318
179 375
80.2227
159.444
72.2190
143.500
21
120.405
239.444
103.221
205.238
90.3358
179.583
80.3151
159 630
72.3021
143.667
22
12.). 549
239.722
103.344
205.476
90.4433
179.792
80.4107 159.815
72.3882
143.833
23
120.692
240.000
103.467
205.714
90.5508
180.000
80.5063
160.000
72.4743
144.000
24:
120.830
240.278
103.585
205.952
90.6547
180.208
80.5987
160.185
72.5574
144.167
2r>
120.969
240.556
103.704
206 190
90.7587
180.417
80.69llil(.;0.370
72.6106
144.333
26
121.112
240.833
103.827
206.429
90 8662
180.625
80.7867
160.550
72 . 7267
144.500
27
121.256
241.111
103.950
206.667
90.9737
180.833
80.8823
160.741
72.8127
144.667
28
121.399
241.3-9
104.073
206.905
91.0812
181.042
80.9779
160. 92€
72.8988
144.833
29
121.542
241.667
104.196
207.143
91.1887
181.250
81.0735
161.111
72.9848
145.000
30
121.681
241.944
104.314
207.381
91.2927
181.458
8l.1659il61.296
73.0680
145.167
31
121.819
242.222
104.433
207.619
91.3966
181.667
81.2583
161.481
73.1512
145.333
32
121.962
242.500
104.556
207.857
91. 5041 '181. 875
81.3539161.667
73.2373
145.500
33
122.106
242.778
104.679
208.095
91.61161182 083
81.4486
161.852
73.3233
145.667
34
122.244
243.056
104.798
208.333
91.7156
182.292
81.5419
162.037
73.4065
145.838
35
122.383
243 333
104.916
208.571
91.8195
182.500
81.6343
162.222
73.4897
146.000
36
122.526
243.611
105.039
208.810
91.9270
182.708
81.7299162.407
73 . 5757
146.167
37
122.669
243.889
105.162
209.048
92.0345
182.917
81.8255
162.593
7'3. 66 18
146.333
38
122.808
244.167
105.281
209.286
92.1385
183.125
81.9179
162.778
73.7450il46.50u
39
122.947
244.444
105.400
209.524
92.2424
183.333
82.0103
162.963
73.8282
146. 6G7
40
123.090
244.722
105.522
209.762
92.3499
183.542
82.1059 163.148
73 9142
146.833
41
123.233
245.000
105.645
210.000
92.4574
183.750
82.2015
163.333
74.0003
147.000
42
123.376
245.278
105.768
210.23S
92.5650
183.958
82.2970
163.519
74.0863
147.167
43
123.520
245.556
105.891
210.476
92.6725
184.167
82 3926 163.704
74.1724
147.333
44
123.658
245.833
106.010
210.714
92.7764 184.375
82.4850
163.889
74.2556
147.500
45
123.797
246.111
106.129
210.952
92.8S03 184.583
82 5774
164.074
74.3387
147.667
46
123.940
246.389
106.251 211.190
92. 9879 1 184. 792
82.6730 164.259
74.4248
147.833
47
124.083
246.667
106. 374 1211. 429
93.0954
185.000
82.7686164.444
74.5109
148.000
48
124.222
246.944
106.493
211.667
93.1993
185.208
82.8610
164.630
74.5940
148.167
49
124.360
247.22?
106.612211.905
93.3032
185.417
82.9534
164.815
74.6772
148.333
5O
124.504
247.500
106.735212.143
93.4108
185.625
83.0490165.000
74.7633148.500
51
124.647
247.778
106.857212.381
93.5183
185.833
83.1446
1 («5.185
74. 84 93 1148. 667
52
124.786
848.036
106.976212.619
93.6222
186. 042 83. 23701 65. 37'0
74.9325148.833
53
124.924
248.333
107.095212.857
93.721.1
186. 250 I 83. 3294
165.556
75.0157 149.000
54
125.067
248.611
107.218213.095
93.8337
1 86 . 4 58 1 S3 . 4250 1 65 . 741
75.1018
149.167
55
125.211
248.889
107.341 213.333
93.9412
186. 667 183.5206
165.926
75.1878 149.333
5fi
125.354
249.167 107.464 213.571
94.0487
186. 875; 83. 61 62 166.111
75.2739 149 500
57
125.497
249.444 107.586 213.810
94.1562
187.083
83.7118
166.296
75.3599 149.667
58
125. 6361249. 7221107. 705 214.048
94.2601
187.292
83.8042 166.481
75.4431 149.833
59
75
TABLE XIV. — ACTUAL TANGENTS, ETC.
15°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
377.168
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
150.908
Arc.
0
754.3081500.00
750.000
251.402
500.000
188.614
375.000
300.000
1
755.1681501.07
377.598
750.833
251 . 740
500.550
188.828
375.417
151.080300.333
2
756.027 1503.33
378.028
751.607
252.035
501.111
180.043
375.833
151.252300.007
3
756.8581505.00
378.443
752.500
252.312
501.007
180.251
376.250
151.418301.000
4
757.689 1506.67
378.858
753.333252.589
502.222
189.459
370.607
151.584,301.333
5
758.5481508.33
379.288
754.167i252.875
502.778
189.674
377 . 083
151.756301.607
6
759.408 1510.00
379.718
755.000253.162
503.333
189.889
377.500
151. 928 1302. 000
7
700.2671511.67
380.148
755.833253.449
503.880
190.104377.917
152.100302.333
8
761. 1271513. 33
380.577
756.667
253.735
504.444
100.319378.333
152.272
302.607
9
761.9581515.00
380.993
757.500
254.012
505.000
190. 526] 378. 750
152.438
303.000
1
10
762 788 1516.67
381.408
758.333
254.289
505.556
190.734379.167
152.604
303.333
11
703.648 1518.33
381.838
759.167
254.575
506.111
190.949379.583
152.776
303.007
12
764.5071520.00
382.268
760.000
254.862
506.607
101.1041380.000
152.948
304.000
13
765.338 1521.67
382.683
760.833
255.139
507.222
191.372380.417
153.114
304.333
14
706.169 1523.33
383.098
761.667
255.416
507.778
191.579380.833
153.281
304.607
15
767.0281525.00
383.528
762.500
255.702
508.333
191.794
381.250
153.453
305.000
16
767.888 1526.67
383.958
763.333
255.989
508.889
192.009
381.667
153.624
305.333
17
768.7471528.33
384.388
764.167
256.275
509.444
192.224
382.083
153. 796! 305. 607
18
769.6071530.00
384.817
705.000
256.562
510.000
192.439
382.500
153.968306.000
19
770.437
1531.67
385.233
765.833
256.839
510.556
192.647
382.917
154.135300.333
20
771.268
1533.33
385.648
766.667
257.116
511.111
192.854
383.333
154.301
306.667
21
772.1281535.00
380.078
767.500
257.402
511.607
193.009
383.750
154.473307.000
22
772. 987 i 1536. 67
386.508
768.333
257.680
512.222
193.284
384.107
154.645307.333
23
773.8471538.33
386.937
769.167
257 . 975
512 778
193.499
384.583
154.817
307.007
24
774.706 1540.00
387.367
770.000
258.202
513.333
103.714
385.000
154.089:308.000
25
775.5371541.67
387.783
770.833
258.539
513.880
103.922
385.417
155.155
308.333
26
776.368 1543.33
3<88.198
771.607
258.810
514.444
104.120
385.833
155.321
308.607
27
777.227J 1545. 00
388.628
772. 500 259.1 02
515.000
194.344
380.250
155.403300.000
28
778.086 1546.07
389.057
773.333259.389
515.550
194.550
386.067
155.605
309.333
29
778.917
1548.33
389.473
774.167
059.666
516.111
104.767
387.083
155.831
300.007
30
779.748
1550.00
389.888
775.000
259.943
516.667
194.975
387.500
155.997
310.000
31
780.6081551.67
390.318
775.833
260.229
517.222
195.100
387.917
156.169,810.383
32
781. 467 i 1553. 33
300.748
776.667
260.510
517.778
195.405
388.333
156. 341 1310.667
33
782.326 1555 00
301.178
777.500
200.802
518.333
195.619
388.750
156.513311.000
34
783.186
1556.07
301.607
778.333
261.080
518.889
195.834
389.167
156.685 311.333
35
784.017 1558.33
392.023
779.167
261.366
519.444
196.042
389.583
156.851 311.667
36
784. 84711560. 00
392.438
780.000
261.643
520.000
196.250
300.000
157.017
312.000
37
38
785.707
786.566
1561.67
1563.33
302.868
303.298
780.833
781.667
261.929520.556
202.216521.111
196.465
196.680
300.417
390.833
157.189 312.333
157 3611312.667
39
787.426
1565.00
393.727
782.500
262.502521.667
196.895
301.250
157.533313.000
40
788.285
1566.67
394.157
783.333
262.789
522.222
197.109
391.667
157.705
313.333
41
789.116
1568.33
394.572
784.167
203.066
522.778
157.317
302.083
157.871 313.667
42
789.947
1570.00
394.988
785.000
203.343
523.333
197.525
302.500
158.038 314.000
43
790.806
1571.67
395.418
785.833
263.029
523.889
107.740
392.917
158. 210; 31 4. 333
44
791.666
1573.33
395.847
786.007
263.910
524.444
107.055303.333
158.382314.667
45
792.497
1575.00
396.263
787.500
264.193
525.000
198. 103 1 303. 750
158. 548! 315. 000
46
793.327 1576.67
396.078
188.333264.470
525.556
198.370304.107
158.714315.333
47
794.187
1578.33
397.108
789.167
204.750
526.111
198,585894.583
158.886 315.667
48
795.046
1580.00
397.538
700.000205.043
526.607
108.800!305.000
159 058316.000
49
795.906
1581.67
397.967
790.833 205.329
527.222
199.015
395.417
159.230316.333
50
796.765
1583.33
308.397
791.667
205.610
527.778
199.230
305.833
159. 402 '310 007
51
797.596
1585.00
308.813 792.500 205.893 528.333
100.438306.250
159.568317.000
52
798.427
1586.67
399 . 228 703 . 333 ' 206 . 1 70 1 528 . 880
109.645306.667
159.734317.333
53
799.286
1588.33
399 . 658 794 . 1 07 j 266 . 450 520 . 444 1 99 . 860 307 . 083
150.006
317.607
54
800.146
1590.00
400.087
705.000 200.743 530.000 200.075 307.500
100.078
318.000
55
801.005
1591.67
400.517 705.833 207.020 53 >.556 200.200 307.017
100.250
318.333
56
801.865
1593.33
400 . 947 706 . 007 207 . 31(5 j 53 1 . 1 1 1 ' 200 . 505 308 . 333
160.42-2
318.667
57
802.605
1595.00
401 . 302 707 . 500 i 207 . 503 53 1 . 607 200 .713 308 . 750
100.588
310.000
58
803.526
1596.67
401 . 778 i 708 . 333 207 . 870 53-2 . 22:2 200 . 920 300 . 1 67
100.754
310.333
59
804.386 1598.33
402.208 799.167 208.156 532.77.8 1201 .135 399,583 160.926
319.607
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve. 1O° Curve.
15°
Tail.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc. i Tan.
Arc.
M.
1*5.774
250.000
107.824
214.286
94.3641
187.50083.8966
166.06775.5*63
150.000
0
125.918
250.278
107.947
214.524
94.4716
187.708 83.9922
166.85275.6123
150.167
1
126.061
250.556
108.070
214.762
94.5791
187.91784.0878
167.03775.6984
150.333
2
126.200
250.833
108.188
215.000
94.6830
188.12584.180^
1U7. 222 75. 7816
150.500
3
126.338
251.111
108.307
215.238
94.7870
188.33384.2726
167.40775.8648
150.667
4
126.481
251.389
108.430
215.476
94.8945
188.54284.3682
167.59375.9508
150.833
5
126.625
251.667
108.553
215.714
95.U02U
188.75084.4638
167. 778 7'6. 0369
151.000
6
126.768
251.944
108.67'6
215.952
95.1095
188.95884.5594
167. 9C3 76.1229
151.167
7
126.911
252.222
108.799
216.190
95.2171
189.167:84.6549
108. 148 '76. 2090
151.333
8
127.050
252.500
108.917
216.429
95.3210
189. 37584. 747 3
168.33376.2922
151.500
9
127.188
252.778
109.036
216.667
95.4249
189.58384.8398
168.51976.3753
151.667
1O
127.332
253.056 109.159
216.905
95.5324
189.79284.9353
168.70476.46i4
151.833
11
127.475
253.333
109.282
217.143
95.6400
190.000 85.0309
168.8897'(i.5i75
152.000
12
127.613
253.611
109.401
217.381
95.7439
190.20885.12:33
169.07470.6300
152.167
13
127.752
253.889
109.519
217.619
95.8478
190.41785.2157
169.25976.7138
152.333
14
127.895
254. 1G7
109.642
217.857
95.9553
190.62585.3113
169.44476.7999
152.500
15
128.039
254.444
109.765
218.095
96.0629
190.88885.4069
169.63076.8859
152.667
16
128.182
254.722
109.888
218.333
96.1104
191. 042 '85. 5025
169.815 76.9720
152.833
17
128.325
255.000
110.011
218.571
96 2779
191. 250185.5981
170.00077.0580
153.000
18
128.464
255.278
110.129
218.810
96.3818
191 ,458'85. 6905
170.18577.1412
153.167
19
128.602
255.556
110.248
219.048
96.4858
191.667
85.7829
170.37077.2244
153.333
2O
128.746
255.833
110.371
219.286
96.5933
191. 875 185. 87 85
170.556 77.3105
153.500
21
128.889
256.111
110.494
219.524
96.7008
192.083 85.9741
17 0.741; 77. 3965
153.667
22
129.032
256.389
110.617
219.762
96.8063
192. 292 '86. 0697
17'0.92677.4826
153.833
23
129.176
256.667
110.740
220.000
96.9158
192. 500 '86.1653
171.111 77.5686
154.000
24
129.314
256.944
110.856
220.238
97.0198
192.70886.2577
171.29677.6518
154.167
25
129.453
257.222
110.977
220. 47 (J
97.1237
192.917
86.3501
171.481 77.7'350
154.333
26
129.596
257.500
111.100
220.714
97.2312
I U3. 125 86. 4457
171. 667I77. 8210
154.500
27
129.739
257.778
111.223
220.952
97.3387
193.333 # i. 5413
171.85277.9071
154.667
28
129.878
258. C56
111.342
.'21.190
97.4427
1 93. 542 : 86. 6337
172. 037 i 7 7. 9903
154.833
29
130.016
258.333
111.460
221.429
97'. 5466
193.750
86.7261
172.222 78.07'35
155.000
3O
130.160
258.611
111.583
221.667
97.6541
193.95886.8217
172.4077'8.1595
155.167
31
130.303
258.889
111.706
221.905
97.7616
194.167
86.9173
172.59378.2456
155.333
32
130.446
259.167
111.829
222.143
97.8691
194.375
87.0128
172. 77'8:7'8. 3316
155.500
33
130.589
259.444
111.952
222.381
97.9767
194.58387.1084
172.96378.4177
155.667
34
130.728
259.722
112.071
222.619
98.0806
194.79287.2008
173.14878.5009
155.833
35
130.867
260.000
112.189
222.857
98.1845
195.000! 87. 2932
173.33378.5841
156.000
36
131.010
260.278
112.312
223.095
98.2920
195.20887.3888
173.51978.6701
156.167
37
131.153
260.556
112.435
223.333
98.3996
195.41787.4844
173.704 7'8.75<32
156.333
38
131.296
260.833
112.558
2^3.571
98.5071
195.625
87.5800
173. 889 7'8. 8422
156.500
39
131.440
261.111
112.681
223.810
98.6146
195.833
87.6756
17'4.07478.9283
156.667
4O
131.578261.389
112.799
224.048
98.7185
196.042
87.7680
174.25979.0115
156.833
41
131.717261.667
112.918
224.286
98.8225
196.250
87.8604
174.44479.0946
157.000
42
131. 860J261.944
113.041
224.524
98.9300
196.458
87.9560
174.63079.1807
157.107
43
132.003262.222
113.164
224.762
99.0375
196.667 88.0516
174.81579.2667
157.3S3
44
132. 142 1262.500
113.283
225.000
99.1414
196.87588.1440
175.00079.3499
157.500
45
132.280J262.778
113.401
225.238
99.2454
197.083 88.2364
175.18579.4331
157.667
46
132.424263.056
113.524
225.476
99.3529
197. 292 188.3320
175.37079.5192
157.833
47
132.567263.333
113.647
225.714
99.4604
197.500
88.4276
175.55679.6052
158.000
48
132.710
263.611
113.770
225.952
99.5679
197.708
88.5232
175.741 79.6913
158. 167'
49
132.854
263.889
113.893
226.190
99.6754
197.917
88.6188
175.92679.7773
158.3-33
50
132.992264.167
114.012
226.429
99.7794
198.125
88.7112
176.111 79.8605
158.500
51
133.131 264.444
114.130
226.667
99.8833
198.333
88.8036
176.29679.9437
158.607
52
133.274264.722
114.253
226 905
99.9908
198.542
88.8992
176.481 80.0298
158.833
53
133.417265.000
114.376
227.143
100.098
198.750
88.9948
176.66780.1158
159.000
54
133.561 265.278
114.499
227.381
100.206
198.958
89.0903
176.85280.2019
159.167
55
133.704 Of -5. 550
114.622
227.619
100.313
199.167
89.1859
177.03780.2879
159.333
56
133.H43-2fi5.83:-!
114 741 227.857
100.417
199.375
89.2783
177.22280.3711
159.500
57
133.981 266.111
114.859228.095
100.521
199.583
89.3707
177.40780.4543
159.667
58
134.124 266.389
1 t4.882J228.333jlOO.629
199.792
89.4663
177.59380.5403
159.833
59
77
TABLE XIV. — ACTUAL TAKGENTS, ETC.
16°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
A re.
~~O~
805.245
1600.00
402.1537
800.000
268.443
533.333ia01.350
400.000
161.098
320.000
1
806.104
1601.67
403.067
800.833
268.729
533. 889i201.565
400.417
101.270
320.333
3
806.964
1603.33
403.497
80 1.607'! 269. 01 6
534.444201.780
400.833
161.442
320.667
3
807.795
1605.00
403.912
802. 500)269. 293
535 .000! 201. 988
401.250
161.608
321.000
4
808.626
1606.6?
404.328
803. 33-1209. 570
535.556
202.190
401.667
161.774
321.333
5
809.485
1608.33
404.757
bO 4. 107 269 856
536.111
202.410
402.083
161.946
321 . 667
6
810.344
1610.00
405.187
805.000270.143
536.667
202.625
402.500
162. 118 322. 000
7
811.204
1611.67
405.617
805 833270.429
537.222
202.840
402.917
162.290322 333
8
812.063
1613. 33
406.047
306. 667|270. 716
537.778
203. 055 403. 333
162.462322.007
9
812.894
1615.00
406.462
807.500
270.993
538.333
203.263
403.750
162.628323.000
10
813.725
1616.67
406 877
808.333
271.270
538.889
203.471
404.167
162.795323.333
11
814.584
1618. as
407.307
809.167
271 .556
539.444
203.686404.583
162.967|323.067
12
815.444
1620.00
407.737
810.000
271.843
540.000
203.900405.000
163. 131) '324 000
13
816.303
1621.67
408.167
810.833
272.129
540.556
204.115405.417
163.311 o24.3:%3
14
817.163
1623. 33
408.596
811.667
272.416
541.111
d04.SJ040o.833
163.482324.667
15
817 993
1625.00
409.012
812.500
272.693
541.667
204. 538! 406. 250
103.649,325 000
16
818.824
1626.67
409.4-37
813.333
272.970
542.222
204 746
406.667
103.8151325.333
17
819.684
1628.33
409.857
814.16.
273.256
542.778
204.961
407.083
163.987325.667
18
820.543
1630.00
410.287
815.000
273.543
543.333
205.176
407.500
164.159326.000
19
821.403
1631.67
410.716
815.833
273.829
543.889
205.390
407.917
104.331 320.333
2O
822.262
1633 33
411. 14G
816.667
274.116
544.414
205 605
408.333
164.503 326 667
31
823.122
1035 00
411.576
817.500
274.402
545.000
205.820
40S.750
164. 675| 327 000
23
823.981
1636 67
412.00(5
818333
274.639
545.556
206.035
409.16;
164 847
327 333
23
824.812
1638.33
412.421
819.167
274.966
546.111
206.243
40!) 583
165.013
327 667
24
825.643
1640.00
412.836
820.000
275.243
516.667'
206.451
410.000
105.179
328.000
25
826.502
1641.67
413.260
820.8-33
275.529
547.222
-.'06.606
410 417
165.351
328.333
26
827.361
1643.33
413.696
821.667
275.816
547.778
206.880
410.833
165.523
328.607
27
828.221
1645.00
414.126
822.500
276.102
548.333
207.095
411.250
165.695
329.000
28
829.080
1616.67
414.555
823.333
278.898
548.889
207.310
411.667
165.867
329.333
29
829.911
1648. 33
414.971
824.167
276.666
549.444
207.518
412.063
166.033
329.667
30
830.742
1650.00
415.386
825.000
276.912
550.000
207.726
412 500
166.199
330.000
31
831.601
1651 . 67
415 816
825.833
277.229
550.556
207.941
412.917
166.371
330,333
32
832 461
1653 33
416.246
826.667
277 516
551.111
208.156
413.333
166.543
330.667
33
833.320
1655.00
410.675
827.500
277.802
5M.667
208.370
413.750
166 715
331.000
34
834.180
1656.67
417.105
828.333
278.089
552.222
208. 5S5
414.167
166.887
331.333
35
835.011
1658.33
417.521
829.167
278.366
5?>2 778
208.793
414.583
107.053
331.667
36
835.841
1660.00
417.936
830.000
278.642
553.333
309.001
415.000
167.219
332 000
37
836.701
1661.67
418.366
830.833
278.929
553.889
209.216
415.417
167.391
332.833
38
837.560
1663.33
418.795
831.667
279.215
554.444
209.421
415.833
167.563
332.667
39
838.420
1665.00
419.225
832.500
279.502
555.000
209.646
416.250
167.735
333.000
40
839.279
1666.67
419.655
833.333
279.789
555.556
209.860
416.667
167.907
333.333
41
840.139
1668.33
420.085
834.167
280.075
556.111
210.075
417.083
168 079
333.667
42
840.998
1670.00
420.514
835 000
280.362
556.667
210.290
417.500
168.251
334.000
43
841.829
1671.67
420.930
835.833
280.639
557.222
210.498
417.917
168.417
334.333
44
842.660
1673.33
421.345
836 667
280.915
557.778
310.706
418.333
168. 583! 334. 667
45
843.519
1675.00
421.775
837.500
281.202
5.58.333
210 921
418.750
168 755335.000
46
844.379
1676.67
422.205
838.333
281. 48S
558.889
211.136
416.167
168.927 335. ,333
47
845.238
1678.33
422.634
839.167
281.775
V>9.444
211.350
419.583
169.099335.667
48
846.097
1680.00
423. 06 4
840.000
282 062
560.000
211.565
420.000
169.271 336.000
49
846.928
1681.67
423 480
840.833
282.338
500.556
211.773, 420. 417
169.437 336.333
50
847.759
1683.33
423.895
841.667
282.615
561. 111
211.981 420.833
169.604 336.667
51
848.618
1685.00
424.325
842.500
2S2.902
•)(•>]. 607
21 2. 19(5; 42 1.250
169.776337.000
53
849.478
1686.67
424.755
843.333
283.188
562.222
212.411 421.667
169.947 337.333
53
850.337
1688.33
125.184
844.167
2S3 . 475 "62 . 778 i 2 1 2 . 626 4 22 . 083
170.119:337.007
54
851.197
1690.00
425.614 845.000
283 . 7 u i 5< J:J . 330 ! 21 2 . 840 422 . 500 1 1 70 . 291 i 338 . 000
55
852.056
1691.67
426.044 845. 83:5
28LOJ8 5(i:] SS^ •.'!:-. 055 422.0171170.463 338.3*3'
56
852.916
1693 33
426.473 846.667 284.335 ;754 444 213.270 423. 333' 170. 635 .348. 667
57
853.746
1695.00
426.889 847.500 284.011 <5 5.0:M> 213.478 423. 750,170.8111 339.000
58
854.577
1696.67
427 . 304 818. 333 , 284 . 888 ! 5< 15 f,r,6 2 ! 3 . 686 424 . 1 (57 1 70 . 968 389 . 333
59
855.437
1698.33
427.734 849.167 285.175i566.lHhJ13.90I 424. 583 J 7 1.1 40 3:39.067
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° C
Tan.
iirve.
Arc.
9° Curve.
1O° Curve.
16°
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
1 34.208
266.667
115.105
228.571 100.736
200.00089.5619
177.778
80.6264
160.000
o
134.411
266.944
115.228
228.810100.844
200.20889.6575
177.963
80.7124
160.167
1
134.554
267.222
115 351
229.048100.951
200.41789.7531
17B.148
80.7985
160.333
2
134.693
267.500
115.469
229.286101.055
200.62589.8455
178.333
80.8817
160.500
3
134.831
267.778
115.588
229.524 101.159
200.83389.9379
178.519
80.9649
160.667
4
184.975
268.056
115.711
229.762101.267
201.04290.0335
178.704
81.0509
160.833
5
135.118
268 333
115.834
230.000! 101. 374
201.250:90.1291
178.889
81.1370
161.000
6
135.261
268.611
115.957
230.238 101 482
201. 458!90. 2247
179.074
81.2230
161.167
7
1,35.405
268.889
116.080
230.476 101.589
201.667
90.3203
179 259
81.3091
161.333
8
135.543
269.167
116.198
230.714
101.693
201.875
90.4127
179.444
81.3923
161.500
9
135.682
269.444
116.317
230.952
101 . 7 97
202.083
90.5051
179.630
81.4754
161.667
10
135.825
269.722
116 4401231.190
101.905
202. 292 190.6007
179.815
81.5615
161.833
11
135.968! 270. 000
11 6. 563^ 231. 429
102.012
202.500
90.6903
180.000
81.6476
162.000
12
136.112
270.278
116.686J231.667
102.120
202.708
90.7919
180.185
81.7336
162.167
13
136.255
270.556
116 809231.905
102.227
202.917
90.8874
180.370
81.8197
162.333
14
136.393
270.833
116.927
232.143
102.331
203.125
90 9798
180.556
81.9028
162.500
15
136.532
271.111
117.046
232 381
102.435
203 333
91.07'*3
180.741
81.9860
162.667
16
136.675
271.389
117.169
232.619
102.542
203.542
91.1078
180.936
82.0721
162.833
17
136.818
271.667
117.292
232.857
102.650
203.750
91.2634
181.11]
82.1581
163.000
18
136.902
271.944
117.415
233.095
102.758
203.958
91.3590
181.290
82.2442
163.167
19
137.105
272.222
117.538
233.333
102 865
204.167
91 .4546
181.481
82.3302
163.333
2O
137.248
272.500
117.600
233.571
102.973
204.375
91.5502
181.667
82.4163
163.500
21
137.302
272.778
117.783
233.810
103.080
204.583
91.64.-8
181.852
82.50^4
163.667
22
137.530
273.056
117.902
234.048
103.184
204.792
91.7382
182.037
82. sans
163.833
23
137.669
273.333
118.021
234.286
103 288
205.000
91.8300
182.222
82.6087
164.00U
24
137.812
273.011
118.144
234.524
103.395
205.208
91.9262
182.407
82.7548
104.167
25
137.955
273.889
118.266
234.762
103.503
205.417
92.0218
182.593
82.8408
164.333
26
138.099
274.167
118.389
235.000
103.610
205.625
92.1174
182.778
82.9269
1(54.500
27
138.242
274.444
118.512
235.238
103.718
205.833
92.2130
182.963
83.0120
164.667
28
138.381
274.722
118.631
235.476
103.822
206.042
92.3054
183.148
83.0961
164.833
29
138 519
275-. 000
118.750
235.714
103.926
206.250
92.3978
183.333
S3 1793
165.000
30
138.662
275.278
118.873
235.952
104.033
206.458
92.4934
183.519
b3 2(554
105.167
31
188.800
275.556
118.995
236.190
104.141
206.667
92.5890
183.704
83.3514
165.333
32
183.949
275.833
119.118
236.429
104.248
206 875
92.6845
183.889
83.4375
105.500
33
139.092
276.111
119.241
236.667
104.356
207.083
92.7801
184.074
83.5285
165.607
34
139.231
276.389
119.360
236.905
104.460
207 292
92.(S725
184.259
83.6007
105.833
35
139.309
276.667
119.479
237.143
104.564
207.500
92.9649
184.444
83.0809
106.000
36
139 513
276.944
119.601
237.381
104.671
207.708
93.0605
184.630
83.7750
166.107
37
139 656
277 222
119.724
237.619
104.779
207.917
D3.1561
184.815
83.8620
106.333
38
139.799
277! 500
119 847
237.857
104.886
208.125
93.2517
185.000
83.9481
166.500
39
139.943
277.778
119.970
238 095
104.994
208.333
93.3473
185.185
84.0341
166.C67
4O
140.086
278.050
120.093
238. S33
105.101
208.542
93.4429
185.370
84.1202
166.833
41
140.229
278.333
120.216
238.571
105 209
208.750
93.5385
185.556
84.2062
167.000
42
140.308
278.611
120.334
238.810
105.313
208.958
93.6309
185.741
84.2804
167.107
43
140.500
278.889
120.453
239.048
105.417
209.167
93.7233
185.926
84.3726
167.334
44
140.050
279 107
120.576
239.286
105.524
209.375
93.H189
186.111
84.4586
167.500
45
140.793
2T9.444
120.699
239.524
105.632
209.583
03.9145
186.296
84.5447
167.667
46
140.930
279.722
120.822
239.762
105.739
209.792
94.0101
186.481
84.6307
167 833
47
141.079
280.000
120.945
240.000
105.847
210. OM 194. 1057
186.667
84.7168
168.000
48
141.218
280.278
121.063
240 238
105.951
210.208
94.1981
18G.852
84.8000
168.167
49
141.356
280.550
121.182
240.476
10fi.0'.5
210.417
04.2905
187.C37
84.8832
168.333
50
141.500280 833
121.305240.714 106.162
210.625
94.3861
187.222
84.9692
168.500
51
141. 6431281. 111
121. 4281240. 952 106 270
210.833
94.4810
187.407
85.05*8
168.667
52
141 . 786 281 . 38!) j 1 21 . 55 1 1 241 . 1 90i 1 00 . 3T7
211.042
94.5772
187.503
85.1413
168.833
53
141.930! 281. 667
121.074
241.429 100.485
211.25094.6728
187.778
85.2274
169.000
54
142.073:281.944
121.796
241.067(106.592
211.458 94.7684
1S7.903
85.3134
169.167
55
142.216
282.222
121.919!241.905100.700
211.167 94. 80401 18-'. 148
85.3905
169.333
56
142.355
282.500
1 22 . 038 242 . 1 43 1 06 . 804
211.87594 9504: 188.3: ;H
85.4827
169.500
57
142.493 282.778
122.157242.381 106.908
212. C83 95.0488J188.519
85.5050
109 007
58
142 6371283.056
122.280 242.619 107.015 212.292 96. 1444} 188. 704
85.6519
109.833
59
79
TABLE XIV. — ACTUAL TANGENTS, ETC.
17°
1S7
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~o"
850.296
1700.00
428.164
85'). 000
285.461
5H6.667
214.116
425.000
171.312
340.000
1
857.156
1701.67
428.594
850.833
285.748
567.222
214.330
425.417
171.483
340.333
2
858.015
1703.33
429.023
851.667
286.034
567.778
214.545
425.833
171.655
340.667
3
858.875
1705.00
429.453
852.500
286.321
568.333
214.760
426.250
171.827
341.00(3
4
859.734
1706 67-
429.883
853.333
286.608
568.889
214.975
426.667
171.999
341.333
5
860.565
1708.33
430.298
854.167
286.884
569.444
215.183
427.083
172.166
341.667
6
861.396
1710.00
430.714
855.000
5287.161
570.000
215.391
427.500
172.332
342.000
7
86-2.255
1711.67
431.143
855.833
287.448
570.556
215.606
427.917
172.504
342.3:53
8
863.114
1713.33
431.573
856.667
287.734
571.111
215.820
428.333
172.676
342.667
9
863.974
1715.00
432.003
857.500
288.021
571.667
216.035
428.750
172.848
343.000
10
864 833
1716.67
432.433
858.333
288.307
572.222
216.250
429.167
173.020
343.333
11
865.693
1718.33
432.862
859.167
288.594
572.778
216.465
429.583
178.191
343.667
12
866.552
1720.00
433.292
860.000
288.880
573.888
216.680
430.000
173.363
344.000
13
867.383
1721.67
433.707
860.833
289.157
573.889
210.888
430.417
173.530
344.333
14
868.214
1723.33
434 123
861.667
289.434
574.444
217.096
430.833
173.696
344.667
15
869.073
1725.00
434.553
862. 5rO
289 721
575.000
217.310
431.250
173.868
345.000
16
869.933
1726.67
434.982
863.333
290.007
575.556
•217.5-tf
431.667
174.040
345.333
17
870.792
1728.33
435.412
864.167
290.294
576.111
217.740
432.083
174.212
345.667
18
871.652
1730.00
435.842
865.000
290.580
576.607
217.955
432.500
174.384
346.000
19
872.511
1731.67
436.272
865.833
290.867
577.222
218 170
432.917
174.556
346.333
20
873.371
1733.33
436.701
866.667
291.153
577.778
218 385
433.333
174.727
346.667
21
874.201
1735.00
437.117
867.500
291.430
578.333
218 593
433.750
174.894
347.000
22
875.032
1736.67
437.532
868.333
291.707
578. S89
218.800
434.167
175.060
347.333
23
875.892
1738.33
437.962
869.167
291.994
579.444
219.015
434.583
175.232
347.667
24=
876.751
1740.00
438.392
870.000
292.280
580.000
219.230
435.000
175.404
348.000
25
877.610
1741.67
438.821
870.833
292.567
580.556
219 445
435.417
175.576
348.333
26
878.470
1743.33
439.251
871.667
202.853
581.111
219.660
43'».833
175.748
348.667
27
879.329
1745.00
439.681
872.500
293.140
581.667
219.875
436.250
175.920
349.000
28
880.189
1746.67
440.111
873.333
293.426
582.222
220.090
436.667
176.092
349.333
29
881.020
1748.33
440.526
874.167
293.703
582.778
220.298
437.083
176.258
349.667
30
881.850
1750.00
440.941
875.000
-?93.980
583 333
220.505
437. 5HO
176.424
350.000
31
882.710
1751.67
441.371
875.833
294.267
583.889
220.720
437.917
176.596
350.333
32
883.569
1753.33
441.801
876.667
294.553
584.445
220.935
438.333
176.768
350.667
33
884.429
1755.00
442.231
877.500
294.840
585.000
221.150
438.750
176.940
351.000
34
885.288
1756.67
442.660
878.333
295.126
585.556
221.365
439.167
177.112
351.333
35
886.148
1758.33
443.090
879.167
295.413
586.111
221.580
439.583
177.284
351.667
36
887.007
1760.00
443.520
880.000
295.699
586.667
221.795
440.000
177.450
352.000
37
887.867
1761.67
443.950
880.833
295.986
587.222
222.010
440.417
177.628
352.333
38
888.726
1763.33
444.379
881.667
296.273
587.778
222.225
440.833
177.799
352.607
39
889.557
1765.00
444.795
882.500
296.549
588.333
222.432
441.250
177.966
353.000
40
890.388
1766.67
445.210
883.333
296 826
588.889
222.640
441.667
178.132
353.333
41
891.247
1768.33
445.640
884.167
297.113
589.444
222.855
442.083
178 304
353.667
42
892.107
1770.00
446.070
885.000
297.399
590.000
223.070
442.500
178.476
354.000
43
892.966
1771.67
446.499
885.833
297 686
590.556
223. 2S5
442.917
178.648
354.333
44
893.825
1773.33
446.929
886.667
297.972
591.111
223.500
443.333
178.820
354.667
45
894.685
1775.00
447.359
887.500
298.259
591.667
223.715
443.750
178.992
355.000
46
895.544
1776.67
447.789
888.333
298.546
592.222
223.929444.167
179.164
355.333
47
896.404
1778.33
448.218
889.167
298.832
592.778
224.144444.583
179.336
355.667
48
897.263
1780.00
448.648
890.000
299.119
593.333
224. 359 ! 4 45. 000
179.507
356.000
49
898.094
1781.67
449.063
890.833
299.395
593.889
224.567
445.417
179.674
356.333
50
898.925
1783.33
449.479
891.667
299.672
594.444
-.'24.775
445.833
179.840
356.067
51
899.784
1785.00
449.909
892.500
299.959
595 000
224.W044ti.250
180.012357.000
53
900.644
1786.67
450 338
893.333
300.245
595 556
225 . 2( )5 416 . f U57 ! 1 80 1 84 357 . 333
53
901.503
1788.33
450.7(58
894.167
300.532
596 1 1 1 1 225 . 4 1 9 4 4 7 . 083 1 80 . 3M5 357 . 667
54
902.363
1790.00
451.198
895.000
300.818
596. 667 J225.63 4 4-17.500 180.528 358. 000
55
903 222
1791.67
451 628
895.833
301.105
597 . 222 225 849 447 . 9 1 7 1 80 . 700 358 . 333
56
904.081
1793.33
452.057
896.667
301.302
597 . 778 i 226 . 064 448 . 333 1 1 80 872 35S . 6H7
57
904.941
1795.00
452.487
897.500
301.67S
598.333 226.279 448.750 1 SI .043 359.000
58
905.800
1796.67
452.917
898.333
301.965
598. 889 1 226. 494 449.167 181 .215 359.333
59
906.631
1798 ..33
453.332
899.1671302 242
599. 444 1226.702 449. 583 11 81. 382 359.007
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
17°
Tan.
Arc.
2837333
Tan.
122.402
Arc.
Tan.
Arc.
212.500
Tan.
Arc.
Tan.
Arc.
M.
142.780
242.857
107.123
95.2400
188.889
85.7380
170.000
0
142.923
283.611
122.525
243.095
107.230
212.708
% 3356
1 89. 074 j 85. 8240
170.107
1
143.007
283.889
122.648
243.333
107.338
212.917
95.4312
189.259
85.9101
170.333
2
143.210
284.167
122.771
243.571
107.445
213.125
95.5268
189.444
85.9961
170.500
3
143.353
284.444
122.894
243.810
107.553
213.333
95.6224
189.630
86.0822
170.667
4
143.492
284.722
123.013
244.048
107.657
213.542
95.7148
189.815
86.1654
170.833
5
143.630
285.000
123.131
244.286
107.761
213.750
95.8072
190.000
86.2486
171.000
6
143.774
285.278
123.254
244.524
107.868
213.958
95.9028
190.185
86.3346
171.167
7
143.917
285.556
123.377
244.762
107.976
214.167
95 9983
190.370
86.4207
171.333
8
144.060
285.833
123.500
245.000
108.083
214.375
96.0939
190.556
86.5067
171.500
9
144.203
286.111
123.623
245.238
108.191
214.583
96.1895
190.741
86.5928
171.667
10
144.347
286.389
123.746245.476
108.298
214.792
96.2851! 190. 926
86.6788
171.833
11
144.490
286.667
123.869i245.7l4
108.406
215 000
96. 3807J191.111
86.7649
172.000
13
144.629
286.944
123.987245.952
108 510
215.208
96.4731
191.296
86.8481
172.167
13
144.767
287.222
124. 106! 246. 190
108.614
215.417
96.5655
191.481
86.9312
172.333
14
144.910
287.500
124. 229 1246. 429
108.721
215 625
96.6611
191.667
87.0173
172.500
15
145.054
287.778
124.352246.667
108.829
215.833
96.7567
191.852
87.1033
172.667
16
145.197
288.056
124.4751246.905
108.936
216 042
96.8523
192.037
87.1894
172.833
17
145.340
288.333
124.5971247.143
109.044
216.250
96.9479
192.222
87.2755
173.000
18
145.484
288.611
124.720
247.381
109.151
216.458
97.0435
192.407
87.3615
173.167
19
145.627
288.889
124.843
247.619
109.259
216.667
97.1391
192.593
87.4476
173.333
3O
145.766
289.167
124.9621247.857
109.363
216.875
97.2315
192.778
87.5307
173.500
31
145.904
146.047
289.444
289.722
125.081
125 204
248.095
248.333
109.467
109.574
217.083
217.292
97.3239
97.4195
192.963
193.148
87.6139
87.7000
173.667
173.833
33
146.191
290.000
125.326
248.571
109.682
217.500
97.5151
193.333
87.7860
174.000
34
146.334
290.278
125.449
248.810
109.789
217.708
97.6106
193.519
87.8721
174.167
35
146.477
290.556
125.572
249.048
109.897
217.917
97.7062
193.704
87.9581
174.333
36
146.621
290.833
125.695
249.286
110.004
218.125
97.8018
193.889
88.0442
174.500
37
146.764
291.111
125 818
249.524
110.112
218.333
97.8974
194.074
88.1303
174.667
38
146.902
291.389
125.937
249.762
110.216
218.542
97.9898
194.259
88.2134
174.833
39
147.041
291.667
126.055
250.000
110.320
218.750
98.0822
194.444
88.2966
175.000
30
147.184
291.944
126.178
250.238
110.427
218.958
98.1778
194.630
88.3827
175.167
31
147.328
292.222
126.301
250.476
110.535
219.167
98.2734
194.815
88.4687
175.333
33
147.471
292.500
126.424
250.714
110.642
219.375
98.3690
195.000
88.5548
175.500
33
147.614
292.778
126.547
250.952
110.750
219.583
98.4646
1P5.185
88.6408
175.667
34
147.757
293.056
126.670
251.190
110.857
219.792
98.5602
195.370
88.7269
175.833
35
147.901
293.333
126.792
251.429
110.965
220.000
98.6558
195.556
88.8129
176.000
36
148.044
293.611
126.915
251.667
111.072
220.208
98.7514
195.741
88.8990
176.167
37
148.187
293.889
127.038
251.905
111.180
220.417
98.8469
195.926
88.9850
176.333
38
148.326
294.167
127.157
252.143
111.284
220.625
98.9393
196.111
89.0682
176.500
39
148.464
294.444
127.276
252.381
111.388
220.833
99.0318
196.296
89.1514
176.667
4O
148.608
294 722
127.399
252.619
111.495
221.042
99.1273
196.481
89.2375
176.833
41
148.751
295.000
127.521
252.857
111.603
221.250
99.2229
196.667
89.3235
177.000
43
148.894
295.278
127.644
253.095
111.710
221.458
99.3185
196.852
89.4096
177.167
43
149.038
295.556
127.767
253.333
111.818
221.667
99.4141
197.037
89.4956
177.333
44
149.181
295.833
127.890
253.571
111.925
221.875
99.5097
197.222
89.5817
177.500
45
149.324
296.111
128.013
253.810
112.033
222.083
99.6053
197.407
89.6677
177.667
46
149.468
296.389
128.136254.048
112.140
222.292
99.7009
197.593
89.7538
177.833
47
149.611
296.667
128.258
254.286
112.248
222.500
99.7965
197.778
89.8398
178.000
48
149.749
296.944
128.377
254.524
112.352
222.708
99.8889
197.963
89.9230
178.167
49
149.888
297.222
128.496
254.762
112.456
222.917
99.9813
198.148
90.0062
178.333
5O
150.031
297 500
128.619 255.000
112.563223.125
100.077
198.333
90.0923
178.500
51
150.175
297.778
128.742
255.238
112.671 223.333
100.172
198.519
90.1783
178.607
53
150. 31 81298.056
128.865
255.476
112.778223.542
100.208
198.704
90.2644
178.833
53
150. 461 J298.333
128. 9871255. 714
112.886223.750
100.364
198.889
90.3504
179.000
54
150.604 298.611
129.110:255.952
112.993223.958
100. 459:199. 074
90.4365
179.107
55
150. 748i 298. 889
129.233256.190
113.101 224.167
100.555199.259
90.5225
179.33:'
56
150.891 299.167
129.356256.429
113.208224.375
100.650199.444
90.6086
179.500
57
1 5 1. 03 4 ' 299. 444
129.479256.667
113.316224.583
100.746 199.630
90.6946
179.007
58
151. 173 1299.722
1 29 . 598 ; 256 . 905 1 1 13 . 420 224 . 792
100.838^99^
aO.TTTb
179.833
59
81
TABLE XIV. — ACTUAL TANGENTS, ETC.
18°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan. 1 Arc.
Tan.
Arc.
Tan.
Arc.
O
907^462
1800.00
453 748
900.000
302 51S 600. 000
226.909
450.000
181.548
360.000
1
908. 321
1801.67
454.177
900.K33
302.805600.556
227.124
450.417
181.720
360.333
2
909.181
1803.33
454.60?
901.6157
303. 091 '601. Ill
227.339
450.833
181.892
360.007
3
910.040
1805.00
455.037
902.500
303.378601.667
227 554
451.250
188.064
361.000
4
910.900
1806.67
455.467
903.333
303. 665 1 602. 222
227.709
451 . 667
182.236
361.333
5
911.759
1808.33
455.896
904.167
303. 951 1602.778
227.984
452.083
182.408
361 . 007
6
912.619
1810.00
456.326
905.000
304. 238 1603.333
228.199
452.500
182.579
302.000
7
913.478
1811.67
456.756
905.833
304.524
603.889
228.414
452.917
182.751
362.333
8
914.338
1813.33
457.186
906.667
304.811
604.444
228.629
453.333
182.923
362.007
9
915.197
1815.00
157.615
907.500
305.097
605.000
228.844
453.750
183.095
363.000
10
916.056
1816.67
15S.045
908.333
305.384
605.556
229.058
454.167
183.267
363 333
11
91(5.887
1818.35
458.4HO
<)< 19.167
305.661
606.111
229.206
454.583
183.433
303 007
13
917.718
1820.00
458.876
910.000
305.938
606.667
229.474
455.000
183.600
304.000
13
918.577
1821.67
459.806
910.833
306.224
607.222
229.689
455.417
183.772
304.333
14
919.437
1823 33
459.73o
911.667
306.511
607.778
229.904
455.833
183.944
364.667
15
920.296
1825.00
460.165
912.500
306.797
(508.333
230.119
456.250
184.115
305.000
16
921.156
1826.67
460.595
013.333
307.084
608.889
230 334
456.607
184.287
365.333
17
922.015
1828.33
461.025
914.167
307.370
609.444
230.548
457.083
184.459
365.667
18
922.875
1830.00
461.454
915 000
307.657
610.000
230.763
457.500
184.631
366.000
19
923.734
1831.67
461.884
915.833
307.943
610.550
230.978
457.917
184.803
366.333
20
924.594
1833.33
462.314
916.667
308.230
611.111
231.193
458.333
184.975
366.667
21
925.453
1835.00
462.743
917.500
308.516
611.067
231.408
458.750
185.147
367.000
22
926.313
1836.67
463.173
918.333
308 803
612 222
231 . 623
459.167
185.319
367.333
23
927.143
1838.33
463.589
919.167
309.080
612 778
231.831
459.583
185.485
367.607
34
927.974
1840.00
464.004
920.000
309.357
613.333
232.038
460.000
185.652
368.000
25
928.834
1841 67
464.434
920 833
309.643
613.889
232.253
460.417
185.823
368.333
26
929.693
1843 33
464.864
921.667
309.930
614.444
232.408
460 833
185.995
368.067
21
930.552
1845.00
465.293
922.500
310.216
615.000
232.683
461 250
186.167
369.000
28
931.412
1846.67
465.723
923.333
310.503
015. 550
232.898
461.067
186.339
369.333
29
932.271
1848.33
460.153
924.167
310.789
616.111
233.113
462.083
186.511
369. G67
3O
933.131
1850.00
466.582
925.000
311.076
616.667
233.328
462.500
186.683
370.000
31
933.990
1851.67
467.012
925.833
311.362
6! 7. 222
233.543
462.917
186.855
370.333
33
934.850
1853.33
4157.442
926.667
311.049
617.778
233.758
463.3-33
187.027
370. G67
33
935.709
1855.00
467.872
927.500
311.93o
018.333
233.973
463.750
187.199
371.000
34
936.569
1856.67
468 301
928.333
312.222
618.889
234. 1S8
464.167
187.371
371.333
35
937.428
1858.33
468.731
929.167
312.508
619.444
234.402
464.583
187.543
171.607
36
938.287
1860.00
469.161
930.000
312.795
620.000
234.617
465.000
187.715
372.000
37
939.118
1861.67
469.576
930.833
313.072
020.550
234.825
465.417
187.881
372.333
38
939.949
1863.33
469.992
981.667
313.319
621.111
235.033
465.833
188.047
372.667
39
940.809
1865.00
470.422
932.500
313.635
621.667
235.248
466.250
188.219
373.000
4O
941.668
1866.67
470.851
933.333
313.922
622.222
235.463
466.667
188.391
373.333
41
942.527
1868.33
471.281
934.167
314.208
622.778
235.678
167.083
188.563
373.667
43
943.387
1870.00
471.711
935.000
314.495
023.333
235.892
467.500
188.735
374.000
43
944.246
1871.67
472.140
935.833
314.781
623.889
236.107
467.917
188.907
374.333
44
945.106
1873.33
472.570
936.667
315.008
624.444
236.322
468.333
189.079
374.067
45
945.965
1875.00
473.000937.500
315.354
625.000
236.537
468.750
189.251
375.000
46
946.825
1876.67
473.430938.333
31^.641
625.556
236.752469.167
189.423
375.383
47
947.684
1878.33
473.859939.167
315.927
626.111
236. 967 1 469. 583
189.595
375.607
48
948.544
1880.00
474.289940.000
316.214
626.667
237.182:470.000
189.767
376.000
49
949.403
1881.67
474.719
940.833
316.500
627.222
237.397
470.417
189.939
376.333
50
950.262
1883.33
475.149
941.667
316.787627.778
237.612
470.833
190.111
376.607
51
951.122
1885.00
475.578:942.500
317.073628.333
237.827
471.250
190.282
377.000
53
951.981
1886.67
476.008:943.333
317.360628.889
238.041
471.667
190.454
377.333
53
952.841
1888.33
476. 438 1 944. 167
317.646629.444
238.256
472.083
190.626
377.667
54
953.700
1890.00
476.868945.000
317.933630.000
238.471
472.500
190.798
378.000
55
954.531
1891.67
477.283945.833
318.210 6:30.556
238.679
472.917
190.965
378.333
56
955.362
1893.33
477.698946.607
318.487631.111 238.887
473.333
191.131
378.667
57
956.321
1895.00
478.128947.500
31 8. 773 631. 667
239.102
478.750
191.303379.000
58
957.081
1896.67
478.558948.333
319.060632.222239.317
474.167
191.475379.333
59
957.940
1898.33
478.988949.167
319.346632.778:239.531
474.583 1 91.6471379. 667
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9C Curve.
1O° Curve,
18°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc,
Tan.
Arc.
Tan.
Arc. "
M.
151.311
300 000
129.716257.143 113.524
225.000
100.931
200.000
90.8610
180.000
o
151.455
151.598
300.278
300.556
129.839257.381H13.631
129.962257.619 113 739
225 208
225.417
101.026
101.122
200.185
200.370
90.9471
91.0331
180.167
180.333
1
2
151.741
300.833
130.085j257.857
113.846
2-,'5.625
101.218
200.556
91.1192
180.500
3
151.885
301.111
130.208258.095
113.954
225.833
101.313
•J00.741
91.2052
180.667
4
158.088
301.389
130.331 258.333
114.061
226.042
101.409
200.926
91.2913
180.833
5
152.171
301.667
130.4531258.571
114.169
226.250
101.504
201.111
91.3773
181.000
6
15*. 315
301.944
130.576
258.810
114.276
226.458
101.600
201.296
91 .4634
181.167
7
152.458
30 .5. 222
130.699
259.048
114.384
226.667
101.695
201.481
91.5494
181.333
8
152.601
302.500
130.822
259.286
114.491
226.875
101.791
201.667
91.6355
181.500
9
152.745
302.778
130.945
259.524
114.599
227.083
101.887
201.852
91.7216
181 667
1O
158.888
303.056
131.064
259.762
114.703
227.292
101.979
202.037
91 8047
181.833
11
153.022
303.333
131.182
260.000
114.807
227.500
102.071
202.222
91.8879
182.000
13
153.165
303.611
131.305
260.238
114.914
227.708
102.167
202.407
91.9740
182.167
13
153.308
303.889
131.428
260.476
115.022
227.917
102.263
202.593
92.0600
182.333
14
153.451
304.167
131.551
260.714
115.129
228.125
102.358
202.778
92.1461
182.500
15
153.595
304.444
131.674
260.952
115.237
228.333
102.454
202.963
92.2321
182 667
16
153.738
304.722
131.797
261.190
115.344
228.542
102.549
203.148
92.3182
182.833
17
153.881
305.000
131.920
261.429
115.452
228.750
102.645
203.333
92.4042
183.000
18
154.025
305.27'8
132.042
261.667
115.559
228.958
102.741
203.519
92.4903
183.167
19
154.168
305.556
132.165
261.905
115 667
229.167
102.836
203.704
92.5764
183.333
20
154.311
305.833
132 288
262.143
115.774
229.375
102.932
203.889
92.6624
183.500
21
154.455
306.111
132.411
262.381
115.882
229.583
103.027
204.074
92.7485
183.667
22
154.593
306.389
132.530
262.619
115.986
229.792
103.120
204.259
92.8316
183.833
23
154.732
306.667
132.648
268.857
116.090
230.000
103.212
204.444
92.9148
184.000
34
154.875
306.944
132.771
263.095
116.197
230.208
103.308
204.630
93.0009
184.167
25
155.018
307.222
132.894
263 333
116 305
230.417
103.403
204.815
93.0869
184.333
26
155.162
307.500
133.017
263.571
116.412
230.625
103.499
205.000
93.1730
184.500
21
155.30n
307.778
133.140
263.810
116.520
230.833
103.595
205.185
93.2590
184.667
28
155.448
308.056
133.263
264.048
116.627
231.042
103.690
205.370
93.3451
184.833
29
155.592
308.333
1 as. 386
264.286
116.735
231.250
103.786
205.556
93.4311
185.000
3O
155.735
308.611
133.508
264.524
116.842
231 458
103.881
205.741
93.5172
185.167
31
155.878
308.889
133.631
264.762
116.950
231.667
103.977
205.926
93.6033
185.333
32
156.021
309.167
133.754
265.000
117.057
231.875
104.073
«06.111
93.6893
185.500
33
156.165
309.444
133.877
265.238
117.165
232.083
104.168
206.296
93.7754
185.667
34
156.308
309.722
134.000
265.476
117.272
232.292
104.264
206.481
93.8614
185.833
35
156.451
310.000
134.123
*'65.714
117.380
232.500
104.359
206.667
93.9475
186.000
36
156.590
310.278
134.241
265.952
117.484
232.708
104.452
206.852
94.0307
186.167
37
156.728
310.556
134.360
266.190
117.588
232.917
104.544
207.037
94.1138
186.333
38
156.872
310.833
134.483
206.429
117.695
233.125
104.640
207.222
94.1999
186.500
39
157.015
311.111
134.606
266.667
117.803
233.333
104.735
207.407
94.2859
186.667
40
157.158
311.389
134.729
266.905
117.910
233.542
104.831
207.593
94.3720
186.833
41
157.302
311.677
134.852
267.143
118.018
233.750
104.926
207.778
94.4581
187.000
43
157.445
311.944
134.974
267.381
118.125
233 958
105.022
207.963
94.5441
187.167
43
157.588
312.222
135.097
267.619
118.233
234.167
105.118
208.148
94.6302
187.333
44
157.732
312.500
135.220
267.857
118.340
234.375
105.213
208.333
94.7162
187.500
45
157.875
312.778
135.343
268.095
118.448
234.583
105.309
208.519
94.8023
187.667
46
158.018
313.056
135.466
268.333
118.555
234 792
105.404
208.704
94.8883
187.833
47
158.1(51
313.333
135.589
268.571
118.663
235.000
105.500
208.889
94.9744
188.000
48
158.305
313.611
135.712
268.810
118.770
235.208
105.596
209.074
95.0604
188.167
49
158.448
313.889
135.834
269.048
118.878
235.417
105.691
209.259
95.1465
188.333
5O
158.591
314.167
135.957
269.286'll8.985
235.625
105 787
209.444
95.2325
188.500
51
158.735
314.444
136 080 1 269. 524 119.093
235.833
105.882
209.630
95.3186
188.667
53
158.878
314.722
136.203269.762 119.200
236.042
105.978
209.815
95.4046
188.833
53
159.021
315.000
136.326
270.000119.308
236.250
106.074
210.000
95.4907
189 000
54
159.160
315.278
136.445
270.238119.412
236.458
106.166
210.185
95.5739
189.167
55
159.298
315.556
136.563
270.476119.516
236.667
106.258
210.370
95.6571
189.333
5<>
159.442
315.833
136.686
270.714 119.623
236.875
106.354
210.556
95.7431
189.500
57
159.585
316.111
136.809
270.952 119.731
237.083
106.450
210.741
95.8292
189.667
58
159.728316.389
136.932
271.190119.838
237.292
106. 5451210. 926
95.9152
189.833
59
83
TABLE XTV.— ACTUAL TANGENTS, ETC.
10=
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O 958.800
1900.00
479.417
950.000
319.633 (533.333
239.746,475.000
191.818
380.000
1 959.659
1901.67
479.847
950.833
319.9196:33.889
239.961 475.417
191.990
380.333
2 960. £19
1903.33
480.277
951.667
320.206 634.444
240.176
475.833
192.162
380.607
3 961.378
1905.00
480.707
952.500
320.49-2.635.000
240.391
476.250
192.334
381.000
4
962.237
1906.67
481.136
953.3-33
320.779 035. 556
240.606
476.667
192.506
381.333
r>
968.097
1908. as
481.566
954.167
321.065636.111
240.821
477.083
192.678
381.667
G
903.956
1910.00
481.996
955.000
321.352
636.667
241.036
477.500
192.850
382.000
7
964.816
1911.67
482.426
955.833
321.638
637.222
241.251
477.917
193.022
382.333
8
905.675
1913.33
482.855
956.667
321.925
637.778
241.466
478.333
193.194
382.667
9
966.535
1915.00
483.285
957.500
322.211
638.333
241.680
478.750
193.366
383.000
1O
967.394
1916.67
483.715
958.333
322.498
638.889
241.895
479.167
193.538
383.333
11
968.254
1918.33
484.145
959.167
322.784
639.444
242.110
479.583
193.710
383.667
12
969.113
1920.00
484.574
960.000
323.071
640.000
242.325 480.000
193.882
384.000
13
969.972
1921.67
485.004
960.833
323.357
640.556
242.540480.417
194.054
384.333
14
970.832
1923.33
485.434
961.667
323.644
641.111
242.755;480.833
194.228
384.667
15
971.691
1925.00
485.863
962.500
323.930
641.667
242. 970 '481. 250
194.398
385.000
16
972.551
1926.67
486.293
963.333
324.217
642.222
243.1851481.667
194.570
385.333
17
973.410
1928.33
486.723
964.167
324.503
642.778
243.400
482.083
194.742
385.667
18
974.270
1930.00
487.153
965. Ottii
324.790
643.333
243.615
482.500
194.913
386.000
19
975,100
1931.67
487.568
965.833
325.067
643.889
243.822
482.917
195.080
386.333
20
975.931
1933.33
487.984
966.667
325.344
644.444
244.030
483.333
195.246
386.667
21
976.791
1935.00
488.413
967.500
325.630
645.000
244.245
483.750
195.418
387.000
22
977.650
1936.67
488.843
968.333
325.917
645.556
244.460
484.167
195.590
387.333
23
978.510
19:38.33
489.273
969.167
326.203
646.111
244.675
484.583
195.762
387.667
24
979.369
1940.00
489.702
970.000
326.490
646.667
244.890
485.000
195.934
388.000
25
980.229
1941.67
490.132
970.833
326.776
647.222
245.105
485.417
196.106
388.333
26
981.088
1943.33
490.562
971.667
327.063
647.778
245.320
485.833
196.278
388.667
27
981.947
1945.00
490.992
972.500
327.350
648. 3m
245.534
486.250
196.449
389.000
28
982.807
1946.67
491.421
973.333
327.636
648.889
245.749
486.007
196.621
389.333
29
983.666
1948.33
491.851
974.167
327.923
649.444
245.964
487.083
196.793
389.667
30
984.526
1950.00
492.281
975.000
328.209
650.000
246.119
487.500
196.965
390.000
31
985.385
1951.67
492.711
975.833
328.496
050.556
246.394
487.917
197.137
390.333
32
986.245
1953.33
493.140
976.667
328.782
651.111
246.609
488.333
197.309
390.667
33
987.104
1955.00
493.570
977.500
329.069
651.667
246.824
488.750
197.481
391.000
34
987.964
1956.67
494.000
978.333
329.355
652.222
247.039
489.167
197.653
391.333
35
988.823
1958.33
494.430
979.167
329.642
652.778
247.254
489.583
197.825
391.667
36
989.682
1960.00
494.859
980.000
329.928
653.3:33
247.469
490.000
197.997
392.000
37
990.542
1961.67
495.289
980.833
330.215
653.889
247.683
490.417
198.169
392.3133
38
991.401
1963.33
495.719
981.607
330.501
654.444
247.898
490.833
198.341
392.667
39
992.261
1965.00
496.149
982.500
330.788
655.000
248.113
491.250
198.513
393.000
40
993.120
1966.67
496.578
983.333
331.074
655.556
248.328
491.667
198.685
393.333
41
993.980
1968.33
497.008
984.167
331.361
656.111
248.543
492.083
198.857393.667
42
994.839
1970.00
497.438
985.000
331.647
656.667
248.758
492.500
199.029 394.000
43
995.699
1971.6?
497.868
985.833
331.934
657.222
248.973
492.917
199.201 394.333
44
996.558
1973.33
498.297
986.667
332.220
657.778
249.. 188
493.333
199.372394.667
45
997.417
1975.00
498.727
987.500
332.507
658.333
249.403
493.750
199.544395.000
46
998.277
1976.67
499.157
988.333
£32.793
658.889
249.618
494.167
199.716395.333
47
999.136
1978.33
499.586
989.167
333.080
659.444
249.832
494.583
199.888395.067
48
999.996
1980.00
500.016
990.000
333.366
660.000
250.047
495.000
200.060:396.000
49
1000.86
1981.67
500.446
990.833
333.653
600.556
250.262
495.417
200.232
396.333
50
1001.71
1983.33
500.876
991.667
333.939
661.111
250.477
495.8:33
200.404
396.667
51
1002.57
1985.00
501.305
992.500
334.226
661.667
250.692
496.250
200. 576 ! 397. 000
52
1003.43
1986.67
501.735
993.333
334.512
662.222
250.907
496.667
200.748397.333
53
1004.29
1988.33
502.165
994.167
334.799
66 2. 778 1251. 122
497.083
200.920397.667
54
1005.15
1990.00
502.595
995.000
335.085
663 . 333 251 . 337 497 . 500
201.092398.000
55
1006.01
1991.67
503.024
995.833
335.372
003. 889 251. 552 '497. 91 7
2dl.264398.333
56
1006.87
1993.33
503.454
996.667
335.658
664.444251.767498.333
201.436398.667
57
1007.73
1995.00
503.884
997.500
335.945
665.000,251.982498.750
201.608399.000
58
1008.59
1996.67
504.314
998.333
336.231
665 . 556 252 . 1 96 '499 . 1 67
201.780
399.333
59
1009.45
1998.33
504.743
999.167
336.518
666.111:252.411499.583
201.952
399.667
84
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
19°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
159. 8721310. OUT
137.055 271 .429 119.946
237.500
106. 641)211. Ill
96.0013
190.000
~~O~
160.015 316.944
137.178271.667
120.053
237.708
106.736211.296
96.0873
190.16?
1
160.158 317.222
137.300271.905
120.161
237.917
106.8*2
211.481
96.1734
190.333
o
160. 301 1317.500
137.423272.143
120.268
238.125
106.927
211.667
96.2594
190.500
3
160.445317.778
137.546272.381
120.376
238.333
107.023
211.852
96.3455
190.667
4
160.588318.056
137. 669; 272. 619
120.484
538.542
107.119
212.037
96.4315
190.833
5
160.731
318.333
187. 7921272. 857
120.591
238.750
107.214
212.222
96.5176
191.000
6
160.875
318.611
137.915;273.095
120.699
238.958
107.310
212.407
96.6037
191.167
7
161.018
318.889
138.038273.333
120.806
239.16?
107.405
212.593
96.6897
191.333
8
161.161
319.167
138.160
273.571
120.914
239.375
107.501
212.778
96.7758
191.500
9
161.305
319.444
138.283
273.810
121.021
239.583
107.597
212.963
96.8618
191.66?
10
161.448
319.722
138.406
274.048
121.129
239.792
107.692
213.148
96.9479
191.833
11
161.591
320.000
138.529
274.286
121.236
240.000
107.788
213.333
97.0339
192.000
12
161.735
320.278
138.652
274.524
121.344
240.208
107.883
213.519
97.1200
192.167
13
161.878
320.556
1:38.775
274.762
121.451
240.41?
107.979
213.704
97.2060
192.333
14
162.021
320.833
138.898
275.000
121.559
240.625
108.075
213.889
97.2921
192.500
15
162.164
321.111
139.020
275.238
121.666
240.833
108.170
214 074
97.3781
192.667
16
162.308
321.389
139.143
275.476
121.774
241.042
108.266
214.259
97.4642
192.833
17
162.451
321.667
139.266
275.714
121.881
241.250
108.361
214.444
97.5502
193.000
18
162.590
321.944
139.385
275.952
121.985
241.458
108.454
214.630
97.6334
193.167
19
162.728
322.222
139.504
276.190
122.089
241.667
108.546
214.815
97.7166
193.333
20
162.871
322.500
139.626
276.429
122.197
241.875
108.642
215.000
97.802?
193.500
21
163.015
322.778
139.749
276.667
122.304
242.083
108.737
215.185
97.8887
193.66?
22
163.158
323.056
139.872
276.905
122.412
242.292
108.833
215.370
97.9748
193.833
23
163.301
323.333
139.995
277.143
122.519
242.500
108.929
215.556
98.0608
194.000
24
163.445
323.611
140.118
277.381
122.627
242.708
109.024
215.741
98.1469
194.167
25
163.588
323.889
140.241
277.619
122.734
242.91?
109.120
215.926
98.2329
194.333
20
163.731
324.167
140.364
277.857
122.842
243.125
109.215
216.111
98.3190
194.500
27
163.875
324.444
140.486
278.095
122.949
243.333
109.311
216.296
98.4050
194.667
28
164.018
324.722
140.609
278.333
123.057
243.542
109.406
216.481
98.4911
194.833
29
164.161
325.000
140.732
278.571
123.164
243.750
109.502
216.667
98.5771
195.000
30
164.304
325.278
140.855
27'8.810
123.272
243.958
109.598
216.852
98.6632
195.16?
31
164.448
325.556
140.978
279.048
123.379
244.16?
109.693
217.037
98.7493
195.333
32
164.591
325.833
141.101
279.286
123.487
244.375
109.789
217.222
98.8353
195.500
33
164.734
326.111
141.224
279.524
123.594
244.583
109.884
217.407
98.9214
195.667
34
164.878
326.389
141.346
279.762
123. 702
244.792
109.980
217.593
99.0074
195.833
35
165.021
326.667
141.469
280.000
123.809
245.000
110.076
217.778
99.0935
196.000
30
165.164
326.944
141.592
280.238
123.917
245.208
110.171
217.963
09.1795
196.167
37
165.308
327.222
141.715
280.476
124.024
245". 417
110.267
218.148
99.2656
196.333
38
165.451
327.500
141.838
280.714
124.132
245. G25
110.362
218.333
99.3516
196.500
39
165.594
327.778
141.961
280.952
124.239
245.833
110.458
218.519
99.4377
196.667
4O
165.738
328.056
142.084
281.190
124.347
246.042
110.554
218.704
99.5287
196.833
41
165.881
328.3:33
142.206
281 .429
124.454
246.250
110.649
218.889
99.6098
197.000
42
166.024
328.611
142.329
281.667
124.562
246.458
110.745
219.074
99.6958
197.167
43
166.167
328.889
142.452
281.905
124.669
246.667
110.840
219.259
99.7819
197.333
44
166.311
329.167
142.575
282.143
124.777
246.875
110.936
219.444
99.8680
197.500
45
166.454
329.444
142.698
282.381
124.885
247.083
111.032
219.630
99.9540
197.667
46
166.597
329.722
142.821
282.619
124.992
247.292
111.12?
219.815
100.040
197.833
47
166.741
330.000
142.944
282 857
125.100
247.500
111.223
220.000
100.126
198.000
48
166.884
330.278
143.066
283.095
125.207
247.708
111.318
220.185
100.212
198.167
49
167.027
330.556
143.189
2a3.333
125.315
247.917
111.414
220.370
100.298
198.333
50
167.171
330.833
143.312
283.571
125.422
248.125
111.509
220.556
100.384
198.500
51
167.314
331.111
143.435
283.810
125.530
248.333
111.605
220.741
100.470
198.667
52
167.457
331.389
143.558
284.048
125.637
248.542
111.701
220.926
100.556
198.833
53
167.601
331.667
143.681
284.286
125.745
248.750
111.796
221.111
100.642
199.000
54
107.744
331.944
143.803
284.524
125.852
248.958
111.892
221.296
100.728
199.167
55
167. 887 1332,222
143.9261284.762
125.960
249.167
111.987
221.481
100.814
199.333
56
168.030332.500
144.049:285.000
126.067
249.375
112.083
221.667
100.901
199.500
57
168.174
332.778
144.172
285.238
126.175
249.583
112.179
221.852
100.987
199.667
58
168.317
333.056
144.295
285.476
126.282249.792
112.274
222.03?
101.073199.833
59
85
TABLE XTV. — ACTUAL TANGENTS, ETC.
20°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
1010.31
2000.01
505. 173! 1000. (X
336.804
666.667
252.626500.000
202.124
400.000
1
1011.10
2001.67
505. 603 i 1000. 83
337.091 667.222
252 841:500.417
202.295
400.333
2
1012.03
2003.33
506.033
1001.67
337.377 667.778
253.056 500.833
202.467
400.667
3
1012.89
2005.00
506.462
1002. 5(
337.664
668.333
253.271
501.250
202.639
401.000
4
1013.75
2006.67
506.892
1003.33
337.950
668.889
253.486
501 . 667
202.811
401 . 333
5
1014.61
2008.33
507 322
1004.17
338.237
669.444
253.701
502.083
202.983
401.667
0
1015.47
2010.00
507.752
1005. OU
338.523
670.000
253.9l6i502.500
203.155402.000
7
1016.33
2011.67
508.181
1005.83
338.810
670.556
254.131 502.917
203.327
402.333
8
1017.18
2013.33
508.611 1006.67
339.097
671.111
254.345503.333
203.499
402.667
9
1018.04
2015.00
509.041
1007.5C
339.383
671.667
254.560
503.750
203.671
403.000
1O
1018.90
2016.67
509.471
1008.33
339.670
672 222
254.775
504.167
203.843
403.333
11
1019.76
2018.33
509.900
1009.17
389'. 956
672.778
254.990504.583
204.015
403.667
13
1030.65
2020.00
510.3301010.00
340.243
673.333
255.205 505.000
204.187
404.000
13
1021.48
2021.67
510.760 1010.83
340.529
673.889
255. 420 i 505. 41 7
204.359
404.333
14
1022.34
2023.33
511.1891011.67
340.816
674.444
255.635
505.833
204.531
404.667
15
1023.20
2025.00
511.61911012.50
341.102
675.000
255.850
506.250
204.703
405.000
16
1024.06
2026.67
512.049 1013.33
341.389
675.556
256.065
506.667
204.875
405.333
17
1024.92
2028.33
512.479 1014.17
o41.675
676.111
256.280
507.083
205.047
405.667
18
1025.78
2030.00
512.908:1015.00
341.962
676.667
256.494
507.500
205.219
406.000
19
1026.6-1
2031.67
513.338
1015.83
342.248
677.222
256.709
507.917
205.390
406.333
20
1027.50
2033.33
513.768
1016.67
342.535
677.778
256.924
508.333
205.562
406.667
31
1028.36
2035.00
514.198
1017.50
342.821
678.333
257.139
508.750
205.734
407.000
22
10-29.22
2036.67
514.627
1018.33
343.108
678.889
257.354
509.167
205.906
407.333
23
1030.08
2038.33
515.057
1019.17
343.394
679.444
257.569
509.583
206.078
407.667
24
1030.94
2040.00
515.48711020.00
313.681
680.000
257.784
510.000
206.250
408.000
25
1031.80
2041.67
515.91711020.83
343.967
680.556
257.999
510.417
206.422
408.333
26
1032.65
2043.33
516 346 1021.67
344.254
681.111
258.214
510.833
206.594
408 667
37
1033.51
2045.00
516.7761022.50
344.510
681.667
258.429
511.250
206.766
409.000
38
1034.37
2046.67
517.206 1023.33
•344 827
682.222
258.644
511.667
206.938
409.333
39
1035.23
2048.33
517.63(5
1024.17
345.113
682.778
258.858
512.083
207.110
409.667
3O
1036.09
2050.00
518.065
1025.00
345.400
683.333
259.073
512.500
207.282
410.000
31
1036.95
2051.67
518.495
1025.83
345 686
683.889
259.288
512.917
207.454
410.333
33
1037.81
2053.33
518.925
1026.67
345.973
684.444
259.503
513.333
207.626
410.667
33
1038.67
2055.00
519.355
1027.50
346.259
685.000
259.718
513.750
207.798
411.000
34
1039.53
2056.67
519.784
1028.33
346.546
685.556
259.933
514.167
207.970
411.333
35
1040.39
2058.33
>20.214
1029.17
346.832
686.111
260.148
514.583
208.142
411.667
36
1041.25
2060.00
520.644
1030.00
347.119
686.667
260.363
515.000
208.313
412.000
37
1042.11
2061.67
521.073
1030.83
347.405
687.222
260.578
515.417
208.485
412.333
38
1042.97
2063.33
521 . 503
1031.67
347.692
687.778
260.793
515.833
208.657
412.667
39
1043.83
2065.00
521.933
1032.50
347.978
688.333
261.007
516.250
208.829
413.000
40
1044.69
2066.67
522.363
1033.33
348.265
688.889
261.222
516.667
209.001
413.333
41
1045.55
2068.33
522.792
1034.17
348.551
689.444
261.437517.083
209.173
413.667
43
046.41
2070.00
523.222
1035.00
548.388
690.000
261. 652 1517.500
209.345
414.000
43
047.27
2071.67
523.652
1035.83
349.124
690.556
261.867517.917
209.517
414.333
44
048.12
2073.33
524.082
1036.67
349.411
691.111
262.082518.333
209.689
414.667
45
1048.98
2075.00
524.511
1037.50
349.697
691.867
262.297518.750
209.861
415.000
46
049.84
2076.67
524.941
1038.33
349.984
692.222
262.512519.167
210.033
415.333
47
050.70
2078.33
525.371
1039.17
350.270
692.778
262.727519.583
210.205
415.667
48
051.56
2080.00
525.801
1040.00
350.557 693.333
262.942520.000
210.377
416.000
49
052.45
2081.67
526.245
1040.83
350.853 693.889
263.164520.417
210.554
416.333
|
5O
053.34
2083.33
526.689
1041.67
351.149694.444
263.386
520.833
210.732
416.667
51
054.20
2085.00
•327.118
1042.50
351.436695.000
263.601 521.250
210.904
417.000
53
055.06
2086.67
-27.548
1043.33
351.722695.556
263.816521.667
211.076417.333
53
055.92
2088.33
527.978 1044.17
152 i )09 696 . 1 1 1 ! 264 . 030 52'.' . 083
211.248417.667
54
056.78
2090.00
528 . 408 i 1 045 . 00 352 . 295 696 . 667 264 . 245 522 . 500
211.420418.000
55
057.64
2091.67
528 . 837 1 1 045 . S3 352 . 582 697 . 222 264 . 460 522 .917
21 1. 592 1 41 8. 333
56
058.502093.33
529.267 1046.67
352.868 697.778
264.675523.333
211.764 418.667
57
059. &5
2095.00
529 . 697 1 047 . 50 353 . 1 55 698 . 333 264 . H90 523 . 750
211.936419.000
58
060.21
2096.67
530 . 1 27 1 048 . 33 353 .441 698 . 889 265 . 1 05 524 . 1 67
212.108
419.3:33
59
1061.07
2098.33
>30. 556J 1049. 17 353.728 699.444 265.320 524.583
212.280
419.667
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
20°
Tan.
Arc.
333.333
Tan.
Arc.
Tan.
Arc.
Tan.
112.370
Arc.
Tan.
Arc.
200.000
M.
168.460
144.418
285.714
126.390
250.000
222.222
101.159
0
168.604
333.611
144.541
285.952
126.497
250.208
112.465
222.407
101.245
200.167
1
168.747
333.889
144.663
286.190
126.605
250.417
112.561
222.593
101.331
200.333
2
168. 890(334. 167
169.034 334.444
144.786
144.909
286 429
286.667
126.712
126.820
250.625
250 833
112.657
112.752
222.778
222.963
101.417
101.503
200.500
200.667
3
4
169.177
334.722
145.032
286.905
126.927
251.042
112.848
223.148
101.589
200.833
5
169.320
335.000
145.155
287.143
127.035
251.250
112.943
223.333
101.675
201.000
6
169.463
335.278
145.278
287.381
127.142
251.458
113.039
223.519
101.761
201.167
7
169.607
335.556
145.401
287.619
127.250
251.667
113.134
223.704
101.847
201.333
8
169.750
335.833
145.523
287.857
127.357
251.875
113.230
223.889
101.933
201.500
9
169.893
336.111
145.646
288.095
127.465
252.083
113.326
224.074
102.019
201.667
10
170.037
336.389
145. 7691288. 333
127.572
252.292
113.421
224.259
102.105
201.833
11
170.180
336.667
145.892
288.571
127.680
252.500
113.517
224.444
102. 191 1202. 000
12
170.323
336.944
146.015
288.810
127.787
252.708
113.612
224.630
102.277202.167
13
170.467
337.222
146.138
289.048
127.895
252.917
113.708224.815
102.363202.333
14
170.610
337.500
146.261
289.286
128.003
253.125
113.804
225.000
102.450202.500
15
170.753
337.778
146.383
289.524
128.110
253.333
113.899
225.185
102.5361202 667
16
170.897
338.056
146.506
289.762
128.218
253.542
113.995
225.370
102.622202.833
17
171.040
338.333
146.629
290.000
128.325
253.750
114.090
225.556
102.708203.000
18
171.183
338.611
146.752
290.238
128.433
253.958
114.186
225.741
102.794
203.167
19
171.326
338.889
146.875
290.476
128.540
254.167
114.282
225.926
102.880
203. 3S3
20
171.470
339.167
146.998
290.714
128.648
254.375
114.377
226.111
102.966203.500
21
171.613
339.444
147.121
290.952
128.755
254.583
114.473
226.296
103.052203.667
22
171.756
339.722
147.243
291.190
128.863
254.792
114.568
226.481
103.138
203.833
23
171.900
340.000
147.366
291.429
128.970
255.000
114.664
226.667
103.224
204.000
24
172.043
340.278
147.489
291.661
129.078
255.208
114.760
226.852
103.310
204.107
25
172.186
340. 55G
147.612
291.905
129.185
255.417
114.855
227.037
103.396
204.333
26
172.330
340.833
147.786
292.143
129.293
255.625
114.951
227.222
103.482
204.500
27
172.473
341.111
147.858
292.381
129.400
255.833
115.046
227.407
103.568
204.667
28
172.616
341.389
147.980
292.619
129.508
256.042
115.142
227.593
103.654
204.833
29
172.760
341.667
148.103
292.857
129/615
256.250
115.237
227.778
103.740
205.000
30
172.903
341.944
148.226
293.095
129.723
256.458
115.333
227.963
103.826
205.167
31
173.046
342.222
148.349
293.333
129.830
256.667
115.429
228.148
103.912
205.333
32
173.189
342.500
148 472
293.571
129.938
256.875
115.524 228.333
103.998
205.500
33
173.333
342.778
148.595
293.810
130.045
257.083
115.620228.519
104.085
205.667
34
173.476
343.056
148.718
294.048
130.153
257.292
115.715228.704
104.171
205.833
35
173.619
343.333
148.840
294.286
130.260
257.500
115.811'i228.889
104.257
206.000
36
173.763
343.611
148.963
294.524
130.368
257.708
115.907229.074
104.343i206.167
37
173.906
343.889
149.086
294.762
130.475
257.917
116.002229.259
104.429206.333
38
174.049
344.167
149.209
295.000
130.583
258.125
116.098
229.444
104.515
206.500
39
174.193
344.444
149.332
295.238
130.690
258.333
116 193 229.630
104.601
206.667
40
174.336
344.722
149.455
295.476
130.798
258.542
116.289229.815
104.6871206 833
41
174.479
345.000
149.578
295.714
130.905
258.750
116.385230.000
104 773J207.000
42
174.622
345.278
149.700
295.952
131.013
258 958
116.480230.185
104.859
207.167
43
174.766
345.556
149.823
296.190
131.121
259.167
116.576230.370
104.945
207.333
44
174.909
345.833
149.946
296.429
131.228
259.375
116.671 230 556
105.031
207.500
45
175.052
346.111
150.069
296.667
131.336
259.583
116.767230.741
105.117207.667
46
175.196
346.389
150.192
296.905
131.443
259.792
116.863230.926
105.203207.833
47
175.339
346.667
150.315
297.143
131.551
260.000
116.958231.111
105.289208.000
48
175.487
346.944
150.442
297.381
131.662
260.208
117.057
231.296
105.378
208.167
49
175.635
347.222
150.569
297.619
131.773
260.417
117.156
231.481
105.467
208.333
50
175.778
347.500
150.691 297.857
131.880
260.625
117.251 231.667
105.553208.500
51
175.922
347.778
150.814298.095
131.988
260.833
117.347231.852
105.639208 667
52
176.065
348.056
150.937298.333
132.095
261.042
117.442232.037
105. 725; 208. 833
53
176.208
348.333
151.060298.571
132.203
261.250
117.538232.222
105.811i209.000
54
176.352348.611
151.183298.810
132.310
261.458
117.634232.407
105.897209.167
55
176.495348.889
151.306299.048
132 418
261.667
117.729232.593
105.983209.333
56
176.638J349.167
151.429299.286
132.525
261.875
117.825232.778
106.069209.500
57
176.782349.444
151.551 299.524
132.633
262.083
117.920232.963
106.156209.667
58
176.925349.722
151.674299.762
132.740
262.292
118.016233.148
106.242209.833
59
87
TABLE XIV. — ACTUAL TANGENTS, ETC/
81°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~o"
1061.93
2100.00
530.986
1050.00
354.014
? 00. 000
265.535
525.000
212.452
420.000
1
IOCS. 79
2101.67
531.416
1050.83
354.301
700.556
265.750
525.417
212.623
420.333
2
1063.65
2103.33
531.846
1051.67
354.587
701.111
265.965
525.833
212.795
420. 6G7
3
1064.51
2105.00
532.275
1052.50
354.874
701.66?
266.179
526.250
212.967
421. COO
4
1065.37
2106.67
532.705
3053.33
355.1 GO
702.222
266.39-1
526.66?
213.139
421.333
5
106£.23
2108.33
533.135
1054.17
355.447
702.778
266.609
527.083
213.311
421.067
6
1067.09
2110.00
533.565
1055.00
355.733
703.333
266.824
527.500
213.483
422.000
7
1067.95
2111.6?
533.994
1055.83
356.020
703.889
267.039
527.917
213.655
422.333
8
1068.81
2113.33
534.424
1056.67
356. SOU
704.444
267.254
528.333
213.827
422.667
9
1069.67
2115.00
534.854
1057.50
356.593
705.000
267.469
528.750
213.999
423.000
10
1070.53
2116.67
535.284
1058.33
356.879
705.556
267.684
529.167
214.171
423. a33
11
1071.39
2118.33
535.713
1059.17
357.1(56
706.111
267.899
529.583
214.343
423.667
12
1072.25
2120.00
536.143
1060.00
357.452
706.667
268.114
530.000
214.515
424.000
13
1073.13
2121.67
536.587
1060.83
357.748
707.222
268.336
530.417
214.693
424.333
14
1074.02
2123.33
537.031
1061.67
358.044
707.778
268.558
530.833
214.870
424.667
15
1074.88
2125.00
537.461
1062.50
358.331
708.333
268.773
531.250
215.042
425.000
10
1075.74
2126.67
537.891
1063.33
358.618
708.889
268.988
531.667
215.214
425.333
17
1076.60
2128.33
538.320
1064.17
358.904
709.444
269.202
532.083
215.386
425.667
18
1077.46
2130.00
538.750
1065.00
359.191
710.000
269.417
532.500
215.558
426.000
19
1078.32
2131.67
539.180
1065.83
359.477
710.556
269.632
532.917
215.730
426.333
20
1079.18
2133.33
539.610
1066.67
359.764
711.111
269.847
533.333
215.902
426.667
21
1080.04
2135.00
540.039
1067.50
360.050
711.667
270.062
533.? 50
216.074
427.000
22
1080.90
2136.67
540.469
1068.33
360.337
712.222
270.277
534.167
216.246
427.333
23
1081.76
2138.33
540.899
1069.17
360.623
712.778
270.492
534.583
216.418
427.667
24
1082.6-3
2140.00
541.329
1070.00
360.910
713.333
270.707
535.000
216.590
428.000
25
1083.48
2141.67
541.758
1070.83
361.196
713.889
270.922
535.417
216.762
428.333
26
1084.34
2143.33
542.188
1071.67
361.483
714.444
271.137
535.833
216.933
428.667
27
1085.20
2145.00
542.618
1072.50
361.769
715.000
271.351
536.250
217.105
429.000
28
1086.06
2146.67
543 047
1073.33
362.056
715.556
271.566
536.667
217.277
429.333
29
1086.94
2148.33
543.492
1074.17
362.352
716.111
271.788
537.083
217.455
429.667
30
1087.83
2150.00
543.930
1075.00
362.648
716.667
2?'2.011
537.500
217.633
430.000
31
1088.69
2151.67
544.365
1075.83
362.934
717.222
272.225
537.917
217.805
430.333
32
1089.55
2153.33
544.795
1076.67
363.221
717.778
2? 2. 440
538.333
217.977
430.667
33
1090.41
2155.00
545.225
1077.50
363.507
718.333
272.655
538.750
218.149
431.000
34
1091.27
2156.67
545.655
1078.33
363.794
718.889
272.870
539.167
218.320
431.333
35
1092.13
2158.33
546.084
1079.17
364.080
719.444
273.085
539.583
218.492
431.667
30
1092.99
2160.00
546.514
1080.00
364.367
720.000
273.300
540.000
218.664
432.000
37
1093.85
2161.67
546.944
1080.83
364.653
720.556
273.515
540.417
218.836
432.333
38
1094.71
2163.33
547.374
1081.67
364.910
721.111
273.730
510.833
219.008
432.667
39
1095.57
2165.00
547.803
1082.50
365.226
721.667
273.945
541.250
219.180
433.000
40
1096.43
2166.67
548.233
1083.33
365.513
722.222
274.160
541.667
219.352
433.333
41
1097.29
2168.33
548.663
1084.17
365.799
722.778
274.374
542.083
219.524
433.667
42
1098.14
2170.00
549.092
1085.00
366.086
723.333
274.589
542.500
219.696
434.000
43
1099.03
2171.67
549.537
1085.83
366.382
723.889
274.811
542.917
219.874
434.333
44
1099.92
2173.33
549.981
1086.67
366.678
724.444
275.033
543.333
220.051
434.607
45
1100.78
2175.00
550.410
1087.50
366.965
725.000
2?5.248
543.750
220.2-23
435.000
46
1101.64
2176.6?
550.840
1088.33
367.251
725.556
275.463
544.167
220.395
435.333
47
1102.50
2178.33
551.270
1089.17
367.538
726.111
275.678
5I4.5S3
220.567
435.667
48
1103.36
2180.00
551.7001090.00
367.824
726.667
275.803545.000
220.739
436.000
49
1104.22
2181.67
552.129
1090.83
368.111
727.222
276.108
545.417
220.911
436.333
50
1105.08
2183.33
552.559
1091.67
368.397
727.778
276.323
545.833
221.083
436.667
51
1105.94
8185.00
552. 9S9
1092. 50' 308.68 1
728.333
276 53S
546.250
221.255
437.000
52
1106.80
2186.67
553.419
1093.33 3H8.9TO
728. 8S9
276.753
546.667
221.427
437.333
53
1107.66
2188.33
553.848
1004.17369.257
729.444
276.968
547.083
221.599
437.667
54
1108.52
2190.00
554.278
1095.00369.543
730.000
277.183
547.500
221.771
438.000
55
56
1109.402191.67
1110.292193.33
554.722
555.166
1095.83369.839
1096.67370.135
730.556
731.111
277.405
277.627
547.917
548.333
221.948
222.126
438.333
438.667
57
1111.152195.00
555.596
1097.50 370.422
731.667
277.842
548.750
222.298 439.000
58
1112.01
2196.67
556.026
1098.33370.708
732.222
278.056
549.167
222.470439.333
59
1112.87
2198.33
556.455
1099.17370.995
732.778
278.271
549.583
222.642 439.667
88
TABLE XIV. — ACTUAL TANGENTS, ETC.V
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
31°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
M.
177.008
350.000151.797
300.000
132.848
*!G2.500
118.112^33.333
1UG.3~28
ZioTcoo
~O"
177.212
350.278
151.920
300.238
132.955
262.708
118.207
233.519
100.414
.'10.167
1
177.355
350.556
152.043|300.476
133.063
262.917
118.303
233.704
106.500
210.333
2
177.498
350.833
152. 106
300.714
133.171
263.125
118.398
233.889
106.586
210.500
3
177.641
351.111
152.289
300.952
133.278
263.333
118.494
234.074
106.672
,210. CG7
4
177.785
351.389
152.411
301.190
133.386
263.542
118.590
234.259
106.758
210.833
5
177.928
351.667
152.534
301.429
133.493
263.750
118.685
234.444
106.844
211.000
6
178.071
351.944
152.657
301.667
133.601
263.958
118.781
234.630
106.930
211.167
7
178.215
352.222
152.780
301.905
133.708
264.167
118.876
234.815
107.016
211.333
8
178.358 352.500
152.903
302.143
133.816
264.375
118.972
235.000
107.102
211.500
9
178.501352.778
153.026
302.381
133.923
264.583
119.067
235.185
107.188
211 667
10
178.645 353. 05G
153.148
302.619
134.031
264 792
119.163
235.370
107.274
211.833
11
178.788858.333
153.271 302.857
134.138
265.000
119.259
235.556
107.360
212.000
13
178.936353.611
153.398
303. 09?
134.249
265.208
119.357
235.741
107.449
212.167
13
179.084:353.889
153.525,303.333
134.360
265.417
119.456
235.926
107.538
212.333
14
179.227354.167
153.648
303.571
134.468
265.625
119.552
236.111
107.624
212.500
15
179.371
354.444
153.771
303.810
134.575
265.833
119.647
236.296
107.710
212.667
16
179.514
354.722
153.894:304.048
134.683
266.042
119.743
236.481
107.796
212.833
17
179.657
355.000
154.017
304.280
134.790
266.250
119.839
236.667
107.882
213.000
18
179.801
355.278
154.140
304.524
134.898
266.458
119.934
236.852
107.968
213.167
19
179.944
355.556
154.262
304.762
135.005
266.667
120.030
237.037
108.054
213.333
20
180.087
355.833
154. 385! 305. 000
135.113
266.875
120.125
IL'37.222
108.141
213.500
31
180.231
356.111
154.508
305.238
135.220
267.083
120.221
237.407
108.227
213.667
22
180.374
356.389
154.631 305.476
135.328
267.292
120.317
237.593
108.313
213.833
23
180.517
356.067
154.754
305.714
135.436
267.500
120.412
237.778
108.399
214.000
24
180.660
356.944
154.877!305.952
135.548
267.708
120.508
237.963
108.485
214.167
25
180.804
357.222
154.999
306.190
185.651
267.917
120.603
238.148
108.571
214.333
26
180.947
357.500
155.122306.429
135.758
268.125
120.699
538.333
108.657
214.500
37
181.090
357.778
155.245
306.667
135.866
268.333
120.794
238.519
108.743
214.667
38
181.238
358.056
155/372
306.905
135.977
268.542
120.893
238.704
108.832
214.833
39
181.386
358.333
155.499
307.143
136.088
268.750
120.992
238.889
108.921
215.000
30
181.530
358.611
155.622
307.381
136.195
2G8.958
121.088
239.074
109.007
215.167
31
181.673
358.889
155.745j307.619
136.303
269.167
121.183
239.259
109.093
215.333
33
181.816
359.167
155.868
307.857
136.410
269.375
121.279
239.444
109.179
215.500
33
181.960
359.444
155.990308.095
136.518
269.583
121.374
239.630
109.265
215.667
34
182.103
359.722
156.113
308.333
136.625
269.792
121.470
239.815
109.351
215.833
35
182.246
360.000
156.236
308.571
136.733
270.000
121.566
240.000
109.437
216.000
36
182.390
360.278
156.359^308.810
136.840
270.208
121.661
240.185
109.523
216.167
37
182.533
360.556
156.482:309.048
136.948
270.417
121.757
240.370
109.609
216.333
38
182.676
360.833
156.605
309.286
137.055
270.625
121.852
240.556
109.695
216.500
39
182.820
361.111
156.728
309.524
137.163
270.833
121.948
240.741
109.781
216.667
40
182 963
361.389
156.850
309.762
137.270
271.042
122.044
240.926
109.867
216.833
41
183.106
361.667
156.973310.000
137.378
271.250
122.139
241.111
109.953
217.000
43
183.254
361.944
157.100
310.238
137.489
271.458
122.238
241.296
110.042
217.107
43
183.402
362.222
157. 227 i 310. 476
137.600
271.667
122.337
241.481
110.131
217.333
44
183.546
362.500
157.350
310.714
137.708
271.875
122.432
241.667
110.217
217.500
45
183.689
362.778
I57.473l310.952
137.815
272.083
122.528
241.852
110.303
217.667
46
1 S3. 832
363.056
157.596
311.190
137.923
272.292
122.623
242.037
110.389
217.833
47
183.976
363.333
157.719
311.429
138.030
272.500
122.719
242.222
110.475
218.000
48
184.119
363.611
157.841
311.667
138.138
272.708
122.815
242.407
110.561
218.167
49
184.262
363.889
157.964311.905
138.245
272.917
122.910
242.593
110.648
218.333
50
184.405
364.167
158.087312.143
1 38. 353 i 273. 125
123.006
242.778
110.734
218.500
51
184 549364.444
158.210312.381
138. 4 60 J273.333
123.101
242.963
110.820
218.607
53
184. 692 ; 364. 722
158.333
312.619
138.568J273.542
123.197
243.148
110.906
218.833
53
184. 835 1365.000
158.456
312.857
138.675i273.750
123.293
243.333
110.992
219.000
54
184.983365.278
158.583313.095
188.786273.958
123.391
243.519
111.081
219.167
55
185.132365.556
158.710
313.333
188.898274.167
123.490
243.704
111.170
219.333
56
185 275365.833
158.832
813. f. 71
139.005274.375
123.586
243 889
111.256
219.500
57
185.418366.111
158.955
313.810139.113274.583
123.681
244.074
111.342
219.667
58
185.561 366.389
1 59 . C78 3 1 4 . 048 i 1 31) . 220 274 . 792
123.777
244.259
111.428
219.833
59
89
TABLE XIV. — ACTUAL TANGENTS, ETC.
83°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
MT
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
733.333
Tan.
Arc.
Tan.
Arc.
O
1113.73
2200.00
556.885
1100.00
371.281
278.486 550.000 222.814 440.000
1
1114.59
2:201.67
557.315
1100.83
371.568
733.889
278 . 658 550 .417 222 . 986 440 . 333
3
1115.45
2203.33
557.745
1101.67
371.854
734.444
278.916 550.833 223.158 440.667
3
111(5.31
2205.00
558.174
1102.50
372.141
735.000
279.088551.250223.330441.000
4
1117.17
2206.67
558.604
1103.33
372.427
735.556
279. 346 55t 667
223.502441.333
5
1118.06
2208.33
559.048
1104.17
372.723
736.111
279.568552.083
223.079441.667
6
1118.94
2210.00
559.492
1105.00
373.020
736.667
279.790552.500
223.857
442.000
7
1119.80
2211.67
559.922
1105.83
373.306
737.222
280.005552.917
224.029
442.333
S
1120.66
2213.33
560.352
1106.67
373.593
737.778
280. 220 1553.333
224.201
442.667
9
1131.62
2215.00
560.781
1107.50
373.879
738.333
280.435
553.750
224.373
443.000
10
1123.38
2216.67
561.211
1108.33
374.166
738.889
280.650
554.167
224.545
443.333
11
1123.24
2218.33
561.641
1109.17
374.452
739.444
280.865
554.583
224.717
443.667
12
ii2i.io
2220.00
562.071
1110.00
374.739
740.000
281.079
555.000
224.889444.000
13
1124.96
2221.67
562.500
1110.83
375.025
740.556
281.294
555.417
225. 061 1444.333
14
1125.82
2223.33
562.930
1111.67
375.312
741.111
281.509
555.833
225.233444.667
15
1126.71
2225.00
563.374
1112.50
375.608
741.667
281.731
556.250
2-,'5.410445.000
16
1127.60
2226.67
563.818
1113.33
375.904
742.222
281.953
556.667
22.5. 588 '445. 333
17
1128.45
2228.33
564.248
1114.17
376.190
742.778
282.168557.083
225.760l445.667
18
1129.31
2230.00
564.678
1115.00
376 . 477
743., 333
282.383 557.500
225.932
446.000
19
1130.17
2231.67
565.107
1115.83
376.763
743.889
282.598
557.917
226.104
446.333
20
1131.03
2233.33
565.537
1116.67
377.050
744.444
282.813
558.333
226.276
446.667
21
1131.89
2235.00
565.967
1117.50
377.336
745.000
283.028558.750
226.448
447.000
22
1132.75
2236.67
566.397
1118.33
377.623
745.556
283. 243 '559. 167
226.620
447.333
23
1133.64
2238.33
566.841
1119.17
377.919
746.111
283.465
559. 5S3
226.797
447.667
24
1134.53
2240.00
567.285
1120.00
378.215
746.667
283.687
560.000
226.975
448.000
35
1135.39
2241.67
567.715
1120.83
•578.501
747.222
283.902
560.417
227.147
448.333
20
1136.25
2243.33
568.144
1121.67
378.788
747.778
284.117
560.833
227.319
448.667
27
1137.11
2245.00
5(58.574
112<?.50
379.074
748.333
284.332
561.250
227.491
449.000
28
1137.97
2246.67
5(59.004
1123.33
379.361
748.889
284.54?
561.667
227.663
449.333
29
1138.83
2248.33
569.433
1124.17
379.648
749.444
284.761
562.083
227.835
449.667
30
1139.68
2250.00
569.863
1125.00
379.934
750.000
284.976
562.500
228.007
450.000
31
1140.54
2251.67
570.293
1125.83
380.221
750.556
285.191
562.917
228.178
450.333
33
1141.40
2253.33
570.723
1126.67
380.507
751 .111
285.406
563.333
228.350
450.667
33
1142.29
2255.00
571.167
1127.50
380.803
751.667
285.628
563.750
228.528
451.000
34
1143.18
2256.67
571.611
1128.33
381.099
752.222
285.850
564.167
228.706
451.333
35
1144.04
2258.33
572.041
1129.17
381.386
752.778
286.065
564.583
228.878
451.667
3G
1144.90
2260.00
572.470
1130.00
881.672
753.333
286.280
505.000
229.050
452.000
37
1145.76
2261.67
572.900
1130.83
381.959
753.889
286.495
565.417
229.222
452.333
38
1146.62
2263.33
573 330
1131.67
382.245
754.444
286.710
565.833
229.394
452.667
39
1147.48
2265.00
573.760
1132.50
382.532
755.000
286.925
566.250
229.565
453.000
40
1148.34
2266.67
574.189
1133.33
382.818
755.556
287.140
566.667
229.737
453.333
41
1149.22
2268.33
574.633
1134.17
383.114
756.111
287.362567.083
229.915
453.667
43
1150.11
2270.00
575.077
1135.00
383 410
756.667
287.584567.500
230.093
454.000
43
1150.97
2271.67
575.507
1135.83
383.697
757.222
287.799,567.917
280.265
454.3:33
44
1151.83
2273.33
575.937
1136.67
383.983
757.778
288.014568.333
230.437
454.667
45
1152.69
2275.00
576.367
1137.50
384.270
758.333
288.229568.750
230 609
455.000
40
1153.55
2276.67
576.796
1138.33
384.556
758.889
288.443
569.167
230.781
455. 333
47
1154.44
2278.33
577.240
1139.17
384.852
759.444
288.666
569.583
230.958
455.667
48
1155.33
2280.00
577.684
1140.00
385.149
760.000
288.888
570.000
231 . 136
456.000
49
1156.19
2281.67
578.114
1140.83
385.435
760.556
289.103
570.417
231.308
456.333
50
1157.05
2283.33
578.544
1141.67
385.722
761.111
289.317
570.833
231.480
456.667
51
1157.90
2285.00
578.974
1142.50
386.008
761.667
289.532
571.250231.652
457.000
52
53
1158.76
1159.62
2286.67
2288.33
579.403
579.833
1143.33
1144.17
386.295
386.581
762.222289.747
762. 778 '289. 962
571.667231.824
572. 083 ! 231. 996
457.333
457.667
54
1160.48
2290.00
580.263
1145.00
386.868
763.333 290 177
572.500' 232. 168
458.000
55
1161.37
2291.67
580.707
1145.83
387.164
763.889^90.399
572.917|232 345
458.333
50
1162.26
2293.33
581.151
1146.67
387.4(50
764.444j290.62l
573.333232.523
458.667
57
1163.12
2295.00
581.581
1147.50
387.746
765. 000 1290.836
573.750232.695
459.000
58
1163.98
2296.67
582.011
1148.33
388.033
765.556291.051
574.167232.867
459.333
59
1164.84
2298.33
582.440
1149.17
388.319
766. Ill 1291. 266
574-583233.039459.667
90
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve,
10° Curve.
33°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
185.705
366.667
159.201
314.286
139.328
275.000
123.872
244.444
111. 514 220. OuO
~~o~
185.848
306.944
159.324
314.524
139.435
275.208
123.968
244.630
111.600220.167
1
185.991
307.222
159.447
314.762
139.543
275.417
124.064
244.815
111.686220.333
3
18(3.135
367.500
159.570
315.000
139.650
275.625
124.159
245.000
111.772
220.500
3
180.278
367.778
159.692
315.238
139.758
275.833
124.255
245.185
111.858
220.607
4
180.420
368.050
159.819
315.476
139.869
276.042
124.354
245.370
111.947
220.833
5
180.574
308.333
159.940
315.714
139.980
276.250
124.452
245.556
112.030
221.000
6
186.717
308.611
100.009
315.952
140.087
276.458
124.548
245.741
112.122
221.107
7
180.801
368.889
100.192
316.190
140.195
276.667
124.644
245.926
112.208
221.333
8
187.004
309.167
160.315
316.429
140.302276.875
124.739
246.111
112.294
221.500
9
|
187.147
369.444
160.438
316.667
140.410277.083
124.835
246.296
112.380
221.667
1O
187.291
309.722
160.561
316.905
140.518277.292
124.930
246.481
112.466
221.833
11
187.484
370.000
160.683
317.143
140.625277.500
125.026
246.667
112.552
222.000
12
187.577
370.278
160.806
317.381
140. 733 1277. 708
125.122
246.852
112.638
222.167
13
187.721
370.550
160.929
317.619
140.840
277.917
125.217
247.037
112.724
222.333
14
187.869
370.833
161.050
317.857
140.951
278.125
125.316
247.222
112.813
222.500
15
188.017
371.111
101.183
318.095
141.062
278.333
125.415
247.407
112.902
222.667
16
188.100
371.389
101.300
318.333
141.170
278.542
125.510
247.593
112.988
222.833
17
188.303
371.067
101.429
318.571
141.277
278.750
125.600
247.778
113.074
223.000
18
188.447
371.944
161.552
318.810
141.385
278.958
125.701
247.963
113.160
223.167
19
188.590
372.222
161.674
319.048
141.492
279.167
125.797
248.148
113.246
223.333
30
188.733
372.500
161.797
319.286
141.600
279.375
125.893
248.333
113.332
223.500
31
188.877
372.778
161.920
319.524
141.707
279.583
125.988
248.519
113.418
223.667
33
189.025
373.056
102.047
319.762
141.818
279.792
126.087
248.704
113.507
223.833
33
189.173
373.333
102.174
320.000
141.930
280.000
126.186
248.889
113.596
224.000
34
189.310
373.611
162.297
320.238
142.037
280.208
126.281
249.074
113.682
221.167
35
189.459
373.889
162.420.
320.476
142.145
280.417
126.377
249.259
113.768
224.333
36
189. 003
374.167
162.543
320.714
142.252
280.625
126.473
249.444
113.854
224.500
37
189.740
374.444
102.060
320.952
142.300
280.833
126.568
249.630
113.941
224.667
38
189.889
374.722
102.788
321.190
142.467
281.042
126.664
249.815
114.027
224.833
39
190.033
375.000
162.911
321.429
142.575
281.250
126.759
250.000
114.113
225.000
3O
190.170
3:5.278
163.034
321.667
142.682
281.458
126.855
250.185
114.199
225.167
31
190.319
375.550
163.157
321.905
142.790
281.607
126.951
250.370
114.285
225.333
33
190.467
375.833
163.284
322.143
142.901
281.875
127.049
250.556
114.374
225.500
33
190.615
376.111
163.411
322.381
143.012
282.083
127.148
250.741
114.463
225.667
34
190.759
376.389
103.534
322.619
343.119
282.292
127.244
250.926
114.549
225.833
35
190.902
376.667
163.657
322.857
143.227
282.500
127.339
251.111
114.635
226.000
36
191.045
376.944
163.779
323.095
143.334
282.708
127.4:35
251.296
114.721
226.167
37
191.189
377.222
103.902
323.333
143.442
282.917
127.530
251.481
114.807
226.333
38
191.332
377.500
164.025
323.571
143.549
283.125
127.626
251.667
114.893
226.500
39
191.475
377.778
164.148
323.810
143.657
283.333
127.722
251.852
114.979
226.667
4O
191.623
378.056
164.275
324.048
143.768
283.542
127.820
252.037
115.068
226.833
41
191.771
37'8.333
164.402
324.286
143.879
283.750
127.919
252.222
115.157
227.000
43
191.915
378.611
164.525
324.524
143.987
283.958
128.015
252.407
115.243
227.167
43
192.058
378.889
1 64. 648 : 324. 702
144.094
284.107
128.110
252.593
115.329
227.333
44
192.201
379.167
164.7703,55.000
144.202
284.375
128.206
252.778
115.415
227.500
45
192.345
379.444
164.893325.938
144.309
284.583
128.302
252.963
115.501
227.667
46
192.493
379.722
105.020325.476
144.420
284.792
128.400
253.148
115.590
227.833
47
192.641
380.000
105.147325.714
144.531
285.000
128.499
253.3-33
115.679
228.000
48
192.784
380.278
165.270
325.952
144.639
285.208
128.595
253.519
115.765
228.167
49
192.927
380.556
165.393
326.190
144.747
285.417
128.690
253.704
115.851
228.333
50
193.071 880.833
165.516326.429
144.854
285.625
128.786
253.889
115.937
228.500
51
193.214381.111
165.639326.667
144.962
285.833
128.881
254.074
116 023
228.667
53
193.357381.389
165.761 326.905
145.069
286.042
128.977
254.259
116.109
228.833
53
193.501:381.667
165.884327.143
145.177
286.250
129.073
254.444
116.195
229.000
54
193. 649 i 38 1.944
166.011 327.381
145.288
286.458
129.171
254.630
116.284
229.167
55
193.797382.222
166.138327.619
145.399
286.667
129.270
254.815
116.373
229.333
56
193.940382.500
166.261 327.857
145.506
286.875
129.306
255.000
116.459
229.500
57
194. 083; 382. 778
166.384 328.095
145.614
287.083
129.461
255.185
116.545
229.667
58
194.227383.056
166.507,328.333
145.721
287.292
129.557
255.370
116.631
229.833
59
91
TABLE XIV. — ACTUAL TANGEKTS, ETC.
33°
M.
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~o"
1165770
2300.00
582.870
1150.00
388.606766.667
291.481
575.000
233.211
460.000
1
1166.59
2301.67
583.314
1150.83
388.902767.22-3
291.703
575.417
233.388
460.333
g
1167.47
2303.33
683.758
1151.67
389.198767.778
291.925
575.833
233.566
460.667
3
1168.33
2305.00
584.188
1152.50
389.484768.333
•392.140
576.250
2:33.738
461.000
4
1169.19
2303.67
584.618
1153.33
389.771 768.889
293.355
576.667
233.910
461.333
5
1170.05
2308. 33
585.047
1154.17
390.057769.414
292.570
577.083
234.082
461.667
6
1170.91
2310.00
585.477
1155.00
390.344770.000
292.785
577.500
234.254
462.000
7
1171.77
2311.67
585.907
1155.83
390.630770.556
292.999
577.917
234.426
462.333
8
1172.63
2313.33
586.337
1156.67
390.917,771.111
•393.214
578.333
234.598
463.667
9
1173.52
2315.00
586.781
1157.50
391.213
771.667
293.436
578.750
234.775
463.000
1O
1174.41
2316.67
587.225
1158.33
391.509
772.222
293.658
579.167
234.953
463.333
11
1175.27
2318.33
587.654
1159.17
391.796
772.778
293.873
579.583
235.1 25 403. 067
13
1176.13
2320.00
58S.084
1160.00
393.082
773.333
294.088
580.000
235.297464.000
13
1176.98
2321.67
588.514
1160.83
392.369
773.889
294.303
580.417
235.469
464.333
14
1177.84
2323.33:588.944
1161.67
392.655
774.444
294.518
580.833
235.641
464.667
15
1178.73
2325.00
589.388
1162.50
392.951
775.000
294.740
581.250
235.818
465.000
16
1179.6v>
2326.67
589.832
1163.33
393.247
775.556
294.962
581.667
235.996
465.333
17
1180.48
2328.33
590.262
1164.17
393.534
7:6.111
,395.177
582.083
236.168
465. 6G7
18
1181.31
2330.00
590.691
1165.00
393.820
776. 66 1'
295.392
582.500
226.340
466.000
19
1182.20
,'331.67
591.121
1165.83
394.107
777.222
295.607
582.917
236.512
466.333
20
1183.06
2333.33
591 . 551
1166.67
394.393
777.778
295.822
583.333
236.684
466.667
21
1183.95
2335.00
591.995
1167.50
394.689
778.333
2UG.044
583.750
336.862
467.000
22
1184.83
2336.67
592.439
1168.33
394.985
778.889
296.266
584.167
337.039
467.333
23
118.5.69
2338.33
592.869
1169.17
395.272
779.444
296.481
584.583
237.211
467.667
34
1186.55
2340.00
593.298
1170.00
395.558
780.000
,'96.696
585.000
237. 3S3
168.000
25
1187.41
2341.67
593.728
1170.83
395.845
780.556
296.911
585.417
'337 555
468.3.33
36
1188.27
2343.33
594.158
1171.67
396.131
781.111
297.126
585.833
337 727
468.667
37
1189.10
3345.00
594.602
1172.50
396.428
781.667
297.348
586.250
337.905
469.000
38
1190.05
234<>.G7
595 046
1173.33
396.724
782.222
297.570
586 667
338.082
469.333
39
1190.91
2348.33
595 476
1174.17
397.010
782.778
297.785
587.083
238.254
469.667
3O
1191.77
2350.00
595.905
1175.00
397.297
783.333
?38.000
587.500
238.426
470.000
31
1192.63
2351.67
596 335
1175.83
397.583
783.889
298.214
587.917
238 598
470.333
33
1193.49
#53.33
598.765
1176.67
397.870
784.444
298.429
588.333
238.770
470.667
33
1194.37
2355.00
597.209
1177.50
398.166
785.000
298.651
588.750
238.948
471.000
34
1195.26
2356.67
597.653
1178.33
39S.462
785.556
298.873
589.167
239.125
471.333
35
1196.12
2358.33
598.083
1179.17
398.748
786.111
299.088
589.583
339.297
471.667
36
1196.98
2360.00
598.513
1180.00
399.035
786.667
299.303
590.000
239.469
472.000
37
1197.84
3351.67
598.942
1180.83
399.321
787.222
299.518
590.417
339.641
472.333
38
1198.70
2363.33
599.37-3
1181.67
399.603
787.778
299.733
590.833
339.813
472.667
39
1199.59
3365.00
599.816
1182.50
399.904
788.333
299.955
591.250
239.991
473.000
4O
1200.48
2366.67
600.260
1183.33
(00.200
788.889
300 177
591.667
240.169
473.333
41
1201.34
2368.33
6)0.690 1184.17
100.486
789. 44 <
300. 3£8
592.083
240.341
473.667
43
1202.20
2370.00
601.120
1185.00
+00.773
790 000
300.607
592.500
240.512
474.000
43
1203.08
2371 67
601.561
1185.83
401.069
790.556
300.829
592.917
240.690
474.333
44
1203.97
2373.33
602.008
1186.67
401.365
791.111
301.051
593 333
340.868
474.667
45
1204.83
2375.00
602.437
1187.50
101.652
791.667
301.266
593.750
241.010
475.000
46
1205.69
2376.67602.867
1188.33
401.938
792.222
301.481
594.167
241.212
475.333
47
1206.55
2378.33603.297
1189.17
402.225
792. 77S
301.696
594.583
241.384
475.667
48
1207.41
2380.00
603.727
1190.00
402.511
793.333
301.911
595.000
241.556
476.000
49
1208.30
2381.67
604.171
1190.83
402.807
793.889
302.133
595.417
241.733
476.333
5O
1209 19
2383.33
604.615
1191.67
403.103
794.444
302.355
595.833
241.911
476.667
51
1210.04
2385 00
605.045
1192.50
403.390
795.000
302.570
596.250
242.083
477.000
53
1210.90
2386.67
605.474
1193.33
403.676
795.556
302.785
596.667
242.255
477.333
53
1211.76
2388.33
605.904
1194.1:
403.963
796.111
303.000
597.083
342.427
477.667
54
1212.62
2390.00
606.3341195.00
404.249
796.667
303.215
597 500
342.599
478.000
55
1213.51
2391.67
606.778 1195.83
404.545
797.223
303.437
597.917
342.776
478.3:33
56
1214.40
2393.33
607.222 1196.67
404.841
797.778
303.659
598.333
242. 954 1 478. 667
57
1215.26
2395.00
607.6521197.50
405.128
798.333
303.874
598.750
243.126479.000
58
1216.12
2396.67
608.081 1198.33
405.414
798.889
304.088
599.167
243.298479.333
59
1217.01
2398.33608.525:1199 17
405.7111799.444
304.311
599.583
243. 476 J479.667
92
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve,
9° Curve,
1O° Curve.
23°
M?
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. Arc.
194.370383.333
166.630
328.571
145.829
287.500
129.653
255.556
116.717230.000
O
194.518383.011
166.757
328.810
145.940
287.708
129.751
255.741
116.806230.167
1
194.660383.889
166.883
329.048
146.051
287.917
129.850
255.926
116.895230.333
2
194.809384.107
167.000
329.280
146.159
288.125
129.946
256.111
116.981 230.500
3
194. 953; 384. 444
167.129
329.524
146.206
288.3:33
130.041
256.296
117.067230.667
4
195.096,384.722
167.252
329.762
146.374
288.542
130.137
256.481
117.153230.833
5
195. 239 385. 000
167.375
330.000
140.4cSl
288.750
130.232
256.667
117.239231.000
6
195.383385.278
167.498
330.238
146.589
288.958
130.328
256.852
117.325231.167
7
195.526385.556
167.621
330.476
146.696
289.167
130.424
257.037
117.41li231.333
8
195.674
385.833
167.748
330.714
146.807
289.375
130.522
257.222
117.500
231.500
9
195.822
386.111
167.874
330.952
146.918
289.583
130.621
257.407
117.589
231 .667
10
195.965386.389
107.997
331.190
147.026
289.792
130.717
257.593
117.675
231.833
11
196.109386.667
168.120331.429
147.138
290.000
130.812
257.778
117.761
232.000
13
196.252380.944
168.243331.667
147.241
290.208
130.908
257.963
117. 847j232.167
13
196.395:387.222
108.366
331.905
147.348
290.417
131.004
258.148
117.933232.333
14
196. 543 '387. 500
168.493
332.143
147.460
290.625
131.102
258.333
118. 022 ' 232. 500
15
196.692
387.778
168.620
332.381
147.571
290.833
131.201
258.519
118. Ill 1232.667
16
196.835
388.056
168.743
332.619
147.678
291.042
131.297
258.704
118.197
232.833
17
196.978
388.333
168.866
332.857
147.780
291.250
131.392
258.889
118.283
233.000
18
197.121
388.611
168.988
333.095
147.893
291.458
131.488
259.074
118.369
233.167
19
197.265
388.889
169.111
333.333
148.001
291.667
131.583
259.259
118.455
233.333
30
197.413
389.167
169.238
333.571
148.112
291.875
131.682
259.444
118.544
233.500
31
197.561
389.444
169.365
333.810
148.223
292.083
131.781
259.630
118.633
233.667
33
197.704
389.722
169.488
•334.048
148.330
292.292
131.877I259.815
118.719
233.833
33
197.848
390.000
169.611
334.286
148.438
292.500
131.97'2!260.000
118.805
234.000
24
197.991
390.278
169.734
334.524
148.545
292.708
132.068
200.185
118.891
234.167
25
198.134
390.556
169.857
334.76->
148.653
292.917
132.163
260.370
118.978
234. a33
36
198.282
390.833
169.983
335.000
148.7'64
293.125
132.262
260.556
119.066
234.500
37
198.430
391.111
170.110
335.238
148.875
293.333
132.361
260.741
119.155
234.667
28
198.574
391.389
170.233
335.476
148.983
293.542
132.457
260.926
119.241
234.833
29
198.717
391.667
170.356
335.714
149.090
293.750
132.552
261.111
119.327
235.000
30
198.860
391.944
170.479
335.952
149.198
293.958
132.648
261.296
119.414
235.167
31
199.004
392.222
170.602
336.190
149.305
294.167
132.743
261.481
119.500
235.333
32
199.152
392.500
170.729
336.429
149.416
294.375
132.842
261.667
119.589
235.500
33
199.300
392.778
170.856
336.667
149.527
294.583
132.941
261 .852
119.677
235.667
34
199.443
393.056
170.979
336.905
149.635
294.792
133.036
262,037
119.763
235. a33
35
199.586
393.333
171.101
337.143
149.742
295.000
133.132
262.222
119.850
236.000
36
199.730
393.611
171.224
337.381
149.850
295.208
133.228
262.407
119.936
236.167
37
199.873
393.889
171.347
337.619
149.957
295.417
133.323
262.593
120.022
236.333
38
200.021
394.167
171.474
337.857
150.069
295.625
133.422
262.778
120.111
236.500
39
200.169
394.444
171.601
338.095
150.180
295.833
i as. 521
262.963
120.199
236.667
4O
200.312
394. 782
171.724
338.333
150.287
296.042
133.616
263.148
120.286
236.833
41
; 200.456
395.000
171.847
338.571
150.395
296.250
133.712
263.333
120.372
237.000
43
200. 604 1 395. 278
171.974
S38.810
150.506
296.458
133.811
263519
120.461
237.167
43
200.752
395.556
172.101
339.048
150.617
296.667
133.909
263.704
120.549
237.333
44
200.895
895.833
172.223
339.286
150.724
296.875
134.005
263.889
120.636
237.500
45
201.038396.111
172.346
339.524
150.832
297.083
134.101
264.074
120.722
237.667
46
201.182396.389
172.469
339.762
150.939
297.292
134.196
264.259
120.808
237.833
47
201.325396.667
172.592
340.000
151.047
297.500
134.292
264.444
120.894
238.000
48
201.473
396.944
172.719
340.238
151.158
297.708
134.391
264.630
120.983
238.167
49
201.621
397.222
172.846
340.476
151.269
297.917
134.489
264.815
121.071
238.333
50
201.765
397.500
172.969
340.714
151.377
298.125
134.585
265.000
121.158
238.500
51
201.908397.778
173.092
MO. 952
151.484
298.333
134.681
265.185
121.244
238.667
53
202.051 398.056
173.2141341. 190
151.592
298.542
134.776
265.37'0
121.330
238.833
53
202.194398.333
173.337
341.429
151.699
298.750
134.872
265.556
121.416
239.000
54
202.343398.611
173.461
341.667
151.810
298.958 134.971
265.741
121.505
239.167
55
202.491 398.889
173.591
341 .905
151.921
299.167135.069
265.926
121.594
239.3:33
56
202.634399.167
173.714342.143
152.029
299.375135.165266.111
121.680
239.500
57
202.777399.444
173. 837 342. 381
152.137
299.583 135.261 266.296
121.766
239.667
58
202.925399.722
173.964 342.619
152.248
299.7921135.359266.481
121.855
239.833
59
TABLE XIV.— ACTUAL TANGENTS, ETC.
24°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5* Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
1217.89
2400.00
608. 97011200. 00'406. 007
800.000
304.533
600.000
243.053
480.000
1
1218.75
2401.67
609 . 399 1200 . 83 : 406 . 293
800.556
304.747
600.417
243.825
480.333
2
1219.61
2403 33
609 . 829 i 1201 . 67 406 . 580 HO 1 . 1 1 1
304.9(8
600.833
243 5)97
480.007
3
1220.4V
2405.00
310.259 1202.50406.866
801.66?
305 . 1 77
601.250
244.109
481.000
4
1221.33
2406.67
610.688
1203.33
407.153
802.222
305.31)2
601 . 607
244.341
481.333
5
1222.22
2408.33
611.133
1204.17
407.449
802. 7, "8
-505.614
002 . 083
244 519
481.007
6
1223.11
2410.00
611.577 1205.00
407.745
803.333
DU5.M38
002.500
244.690
482.KX)
7
12-23.97
2411.67
612.0061205.83
408.031
803.88!)
306.051
00-2.917
244.868
482.333
8
1224.83
2413 33
612.436 1206.67
408.318
804.444
306.260
t)03.333
245.040
482.007
9
1225.72
2415.00
612.880
1207 50
408.614
805.000
306.488
003.750
245.218
483.000
1O
1226.60
2416.67
613.324
1208.33
408.910
805.556
306.710
604.167
245.396
483.333
11
I227.4G
2418.33
613.754
1209.17
409.196
806.111
"306.925
604.583
245.508
483.067
12
1228.32
2420.00
614.184
1210.00
409.483
806.667
307.140
605.000
245.740
484.000
13
1229.21
2421.67
614.628
1210.83
409.779
807.222
307.363
605.417
245.917
484.333
14
1230.10
2423.33
615.072
1211.67
410.075
807.778
307.584
605.833
246.095
484.667
15
1230.96
2425.00
615.502
1212.50
410.365
808.333
'307.799
606.250
246.267
485.000
16
1231.82
2426.67
615.931
1213.33
410.618
808.889
308.014
606.667
246.439
485.333
17
1232.68
2428.33
616.361
1214.17410.935
809.444
308.229
607.083
246.611
485.667
18
1233.54
2430.00
616.791
1215.00
411.221
810.000
308.444
607.500
246.783
480.000
19
1234.42
2431.67
617.235
1215.83
411.517
810.550
308.666
607.917
246.960
486.333
2O
1235.31
2433.33
617.679
1216.67
411.813
811.111
308.888
608.333
247.138
486.667
21
1236.17
2435.00
618.109
1217.50
412.100
811.667
109.108
608.750
247.310
487.000
22
1237.03
24:}6.67
618.538
1218.33
412.386
812.222
309.318
009.167
247.482
487. 333
23
1237.92
2438.33
618.982
1219.17
412.682
812.778
'309.540
609.583
247.660
487.667
24
1238.81
2440.00
619.427
12-20.00
412.978
813.333
309.762
610.000
247.837
488.000
25
1259.67
2441.67
619.856
1220.85
413.265
813.889
309.977
610.417
248.009
488.333
26
1240.53
2443.33
620.286
1221.67
413.551
814.444
310.192
610.833
248.181
488.667
27
1241.41
2445.00
620.730
1322.50
413.847
815.000
310.414
611.250
248.359
489.000
28
1242.30
2446.67
621.174
1223.33
414.144
815.556
310.636
611.667
248.536
489.333
29
1243.16
2448.33
621.604
1224.17
414.430
816.111
310.851
612.083
248.708
489.667
30
1244.02
2450.00
622.034
1225.00
414.717
816.667
311.066
612.500
248.880
490.000
31
1244.91
2451.67
022.478
1225.83
415.013
817.222
311.288
612.917
249.058
490.333
32
1245.80
2453.33
622.922
1226.67
415.309
817.778
311.510
613.333
249.236
490.667
33
1246.66
2455.00
623.351
1227.50
415.595
818.333
311.725
613.750
249.408
491.000
34
1247.52
2456.67
623.781
12-28.33
415.882
818.889
311.940
614.167
249.580
491.333
35
1248.40
2458.33
624.225
1229.17
416.178
819.444
312.162
614.583
249.757
491.667
36
1249.29
2460.00
624.669
1230.00
416.474
820.000
312.384
615.000
249.935
492.000
37
1250.15
2461.67
625.099
1230.83
416.760
820.556
312.599
615.417
250.107
492.333
38
1251.01
2463.33
625.529
1231.67
417.047
821.111
312.814
615.833
250.279
492.667
39
1251.87
2465.00
625.959
1232.50
417.333
821.667
313.028
616.250
250.451
493.000
40
1252.73
2466.67
626.388
1233.33
417.620
822 222
313.243
616.667
250.623
493.333
41
1253.622468.33
626.832
1234.17
417.916
822 '.178
313.465
617.083
250.800
493.607
42
1-J54. 51 2470.00
627.276
1235.00
418.212
823.333
313.687
617.50T
250.978
494.000
43
1255.3712471.67
627.706| 1235. 83
418.499
823.889
313.902
617.917
251.150
494.333
44
1256. 23 '24? 3. 33
628.136
1236.67
418.785
824.444
314.117
618.333
251.322
494.007
45
1257.11 2175.00
628.580
1237.50
419.081
825.000
314.339
618.7-50
251.500
495.000
46
1258.002476.67
629.021
1238.33
419.377
825 . 5oC
314.561
019.167
251.677
495. S33
47
1258.86 2478. as
629.454
1239.17
419.664)826. Ill
314.776
619.583
251.849
495.607
48
1259. 72 '2480. 00
629.884
1240.00
419.950l826.667
314.991
620.000
252.021
496.000
49
1260.61:2481.67
630.328
1240.83
420. 246 j 827. 222
315.213
620.417
252.199
496.333
50
1261.502483.33
630.772
1241 67
420.542
827.778
315.435
620.833
•252.376
496.667
51
1262.362185.00
631.201
1242.50
420.829
828.333
315.650
621.250
252.548
497.000
52
1263.222486.67
631.631
1243.33
421.115
828.889
315. R65
621.667
252.720
497.333
53
1264.102488.33
632.075
1244.17
421.411
829.444
316.087
622.083
252.898
497.667
54
1204. 99 2490. 00
632.519
1245.00
421.707
830.000
316.309
622.500
253.076
498.000
55
1265. 85 12491. 67
632.949
1245.83
421.994
830.556
316.524
622.917
253.248
498.333
56
1266.71 2493.33
633.379
1246.67
422.280
831.111
316.739
623.333
253.420
498.667
57
1267.602495.00
633.823
1247.50
422.577
831.667
316.961
023.750
253.597
499 000
58
1268.492496.67
634.267
1248.33
422.873
832.222
317.183
624.167
253.775
499.333
59
1269. 35 2 198. 33
634.697
1249.17
423.159
832.778
317.398
624.583
253.947
499.667
94
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
24°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
203.073
00. 000 174. OK I 34'-'. 857
52.359
300.000
35.458)266.667
21.943
240.000
"~o~
80S. 21 7
00.278
174.214343.095
52.466
300.208
35.554
266.852
22.030
240.167
i
203.360
00.556
174.337 343.333
52.574
300.417
35.649
267.037
22.116
240.333
2
203.503
00.833
174.459343.571
52.681
300.625
35.745
-267.222
22.202
240.500
3
203.647
01.111
174. 5S2
43.810
52.789
300.833
35.840
267.407
122.288
240.667
4
203.795
01.389
174.709
£44.048
52.900
301.042
35.939
267.593
122.377
240.8:33
5
203.943
401.667
174.836
344.286
53.011
301.250
36.038
267.77'8
122.466
241.000
6
204.086
401.944
174.959
344.524
53.118
301.458
36.134
267.963
122.552
241.167
7
204.229
402.222
175.082
344.762
53.226
301.667
36.229
268.148
122.638
241. 333
8
204.377
02.500
175.209
345.000
53.337
301.875
36.328
,268.333
122.727
241.500
9
204.526
402.778
175.336
345.238
53.448
302.083
36.427
268.519
122.816
241.667
10
204.669
403. 056
175.459
345.476
53.55(5
302.29s!
36.522
268.704
122.902
241.833
11
204.81:2
03.333
175.581
345.714
53.663
302.500
136.618
268.889
122.988
242.000
12
204.960
03.611
175.708
345.952
53.774
302.708
36.717
269.074
123.077
242.167
13
205.108
403.889
175.835
346.190
53.885
302.917
36.815
269.259
123.165
242.333
14
205.252
404.167
175.958
346.429
153.993
303.125
136.911
269.444
123.252
242.500
15
205.395
404.444
176.081
346.667
154.100
303.333
137.007
269.630
123.338
24-2.667
16
205. 538
404.722
176.204
346.905
154.208
303.542
137. 102
269.815
123.424
242.833
17
205.682
405.000
176.327
347.143
54.316
303.750
137.198
270.000
123.510
243.000
18
205.830
405.278
176.454
347.381
154.427
303.958
137.297
270.185
123.599
243.167
19
205.978
405.556
176.581
347.619
154.538
304.167
137.395
270.370
123.688
243.333
20
206.121
405.833
176.704
347.857
154.645
304.375
137.491
270.556
123.774
243.500
21
206.264
406.111
176.826
348.095
154.753
304.583
137.587
270.741
123.860
243.667
22
206.412
406.389
176.953
348.333
154.864
304.79:2
137.685
270.926
1*23.949
243.833
23
206.561
406.667
177.080
348.571
154.975
305.000
137.784
271.111
124.037
244.000
24
206 704
406.944
177.203
348.810
155.082
305.208
187.880
271,296
124.124
244.167
25
206 .347
407.222
177.326
349.048
155.190
305.417
137 975
271.481
124.210
244.333
26
206.995
407.500
177.453
349.280
155.301
305.625
138.074
271.667
124.298
244.500
27
207.143
407.778
177.580
349.524
155.412
305.833
138.173
•271.852
124.387
244.667
28
207.287
408.056
177.703
349. 70S
155.520
306.042
138.268
272.037
124.473
244.833
29
207.430
408. 333
177.826
a50.00f
155.627
306.250
138.364
272.222
124.560
245.000
30
207.578
408.611
177.953
350.238
155.738
306.458
138.463
272.407
124.648
245.167
31
207.726
408.889
178.079
350.476
155.849
306.667
138.502
272.593
124.737
245.333
32
207.869
409.167
178.202
&50.714
155.957
306.875
138.657
272.778
124.823
245.500
33
208.013
409.444
178.325
350.952
156.064
307 083
138.753
272.963
124.909
245.667
34
208.161
409.722
178.452
351.190
156.176
307.292
138. a52
273.148
124.998
245.833
35
208.309
410.000
178 579
351 .429
156.287
307.500
138.950
•273.333
125.087
246.000
36
208.452
410.278
178.702
351.667
156.394
307.708
139.046
273.519
125.173
246.167
37
208.595
410.556
178.825
351.905
156.502
307.91"
139.141
273.704
125.259
246.333
38
208.739
410.833
178.948
352.143
156.609
308.125
139.237
273.889
125.345
246.500
39
208.882
411.111
179.070
352.381
156.717
308.333
139.333
274.074
125.432
246.667
40
209.030
411.389
179.197
352.619
156.828
308.542
139.431
274.259
125.520
246.833
41
209.178
411.667
179.324
352.85"
156.939
308.750
139.530
274.444
125.609
247.000
42
209. 32!^
411.944
179.447
353. 095
157.046
308.958
139.626
274.630
125.695
247.16"
43
209.465
412.22V
179.570
353.333
157.154
309.16"
139.721
274.81F
125.781
247.333
44
209.613
412.500
179.697
353.57
157.265
309.375
139.820
275.000
125.870
247.500
45
209.761
412.778
179.824
353.810
157.376
309.583
139.919
275.18.
125.959
247.66"
46
209.904
413.056
179.947
354.048
157.484
309.792
140.015
275. 37C
126.045
247.833
47
210.048
413.333
180.070
354. 28C
157.59
310.000
140.110
275.55
126.13
248.000
48
210.196
413.611
180.197
354.524
157.702
310.208
140.209
275.74
126.220
248.16"
49
210.344
413.889
180.324
354.762
157.813
310.41"
140.308
275.926
126.309
248.333
50
210.48"
414.167
180.446
355.000
157.921
310.62.
140.403
276.11
126.395
248.500
51
210.630
414.444
180.569
355.238
158. 02F
310. as,
140.499
276.296
126.48
248.66'
52
210.77
414.722
180 69f
355.47
158.140
311.042
140.598
276.48
126.570
248.833
53
210.92
415.000
180.82:
,355.714
158.25
311.250
140.696
276.66
126.65S
249.00(1
54
211.070
415.27*
180. 94<
355.952
158.35
311.45
140.792
276. &5
126.745
249 16"
55
211.21
415.556
ISl.Oflfl
356.19
158.466
311.66
140.888
277.03
126.83
249.333
56
211.36
415.833
181.106
356.42<1
158.5r
311 .87.
140.986
277.22*
126. 9&
249.500
57
211.50
416.111
181.323
356.66
158. 68?
312.08.
141.085
277.40
127.009
249.66"
58
811.663
416.889 181.446
356.90
158.79
312.29
141.181
277. 5&
127.095
249.833
59
95
TABLE XIV.— ACTUAL TANGENTS, ETC.
25°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
BiT
~~o~
Tan.
1270.21
Arc.
Tan.
Arc.
Tan.
Arc.
83^333
Tun.
317.613
Arc.
G25.000
Tan.
Arc.
2500.00
635.126
1250.00
423.446
254.119
500.000
i
1271.09
2501.67
635.570
1250.83
423.742
833.889
sir. 835
(525.417
254.296
500.333
2
1271.98
2503.33
636.014
1251.67
424.038
834.444
318.057
625.833
254.474
500.667
3
1272.87
2505.00
636.459
1252.50
424. a34
835.000
318.279
626.250
254.652
501.000
4
1273.76
2506.67
636.903
1253.33
424.630
835.556
318.501
626.667
254.830
501.333
5
1274.62
2508.33
637.332
1254.17
424.916
836.111
318.716
627.083
255.001
501 . 6(57
6
1275.48
2510.00
637.762
1255.00
425.203
836.667
318.931
627.500
255.173
502.000
7
1276.37
2511.67
638.206
1255.83
425.499
837.222
319.153
627.917
255.351
502.333
8
1277.25
2513.33
638.650
1256.67
425.795
837.778
319.375
628.333
255.529
502.667
9
1278.11
.2515.00
639.080
1257.50
426.082
838.333
319.590
628.750
255.701
503.000
10
1278.97
2516.67
639.510
1258.33
426.368
838.889
319.805
629.167
255.873
503.333
11
1279.86
2518.33
639.954
1259.17
426.664
839.444
320.027
629.583
256.050
503.667
12
1280.75
2520.00
640.398
1260.00
426.960
840.000
320.249
630.000
256.228
504.000
13
1281.61
2521.67
640.828
1260.83
427.247
840.556
320.464
630.417
256.400
504.333
14
1282.47
2533.33
641.257
1261.67
427.533
841.111
320.679
630.833
256.572
504.667
15
1283.86
2525.00
641.701
1262.50
427.829
841.667
320.901
631.250
256.750
505.000
16
1284.24
2526.67
642.145
1263 33
428.125
842.222
321.123
631.667
256.927
505.333
17
1285.10
2528.33
642.575
1264.17
428.412
842.778
321.338
632.083
257.099
505.667
18
1285.96
2530.00
643.005
1265.00
428.698
843.333
321.553
632.500
257.271
506.000
19
1286.85
2531.6?
643.449
1265.83
428.994
843.889
321.775
632.917
257.449
506.333
2O
1287.74
2533.33
643.893
1266.67
429.290
844.444
321.997
633.333
257.626
506.667
21
1288.60
2535.00
644.323
1267.50
429.577
845.000
322.212
633.750
257.798
507.000
22
1289.46
2533.67
644.752
1268.33
429.864
845.556
322.427
634.167
257.970
507.333
23
1290.35
2538.33
645.197
1269.17
430.160
846.111
32-2.040
634.583
258.148
507.667
24
1291.23
2540.00
645.641
1270.00
430.456
846.667
322.871
635.000
258.326
508.000
25
1292.12
2541.67
646.085
1270.83
430.752
847.222
323.093
635.417
258.503
508.333
26
1293.01
2543.33
646.529
1271.67
431.048
847.778
323.315
635.833
258.681
508.667
27
1293.87
2545.00
646.958
1272.50
431 .334
848.333
323.530
636.250
258.853
509.000
28
1294.73
2546.67
647.388
1273.33
431.621
848.889
323.745
636.667
259.025
509.333
29
1295.62
2548.33
647.832
1274.17
431.917
849.444
323.967
637.083
259.203
509.667
3O
1296.51
2550.00
648.276
1275.00
432.213
850.000
324.189
637.500
259.380
510.000
31
1297.36
2551.67
648.706
1275.83
432.499
850.556
324.404
637.917
259.552
510.333
32
1298.22
2553.33
649.136
1276.67
432.786
851.111
324.619
638.333
259.724
510.667
33
1299.11
2555.00
649.580
1277.50
433.082
851.667
324.841
638.750
259.902
511.000
34
1300.00
2556.67
650.024
1278.33
433.378
852.222
325.063
639.167
260.079
511.333
35
1300.86
2558.33
650.454
1279.17
433.665
852.778
325.278
639.583
260.251
511.667
36
1301.72
2560.00
650.883
1280 00
433.951
853.333
325.493
640.000
260.423
512.000
37
1302.61
2561.67
651.328
1280. 83
434.247
853.889
325.715
640.417
260.601
512.333
38
1303.50
2563.33
651.772
1281.67
434 543
a54.444
325 937
640.833
260.779
512.667
39
1304.38
2565.00
652.216
1282.50
434.839
855.000
326.159
641.250
260.956
513.000
40
1305.27
2566.67
652.660
1283.33
435.135
855.556
326 381
641.667
261.134
513.333
41
1300.13
2568 33
653.089
1284.17
435.422
856.111
326.596
642.083
261.306
513.667
42
1306.99
2570.00
653.519
1285.00
435.708
856 667
326.811
642.500
261.478
514.000
43
1307.88
2571.67
053.963
1285.83
436.004
857.222
327.033
642.917
261.656
514.333
44
1308.77
•2573.33
654.407
1286.67
436.300
857.778
327.255
643.333
261.833
514.667
45
1309.63
2575.00
654.837
1287.50
436.587
&78.3S3
327.470
643.750
262.005
515.000
46
1310.49
2576.67
655.267
1288.33
436.873
858.889
327.685
644.167
262.177
515.383
47
1311.37
2578.33
655.711
1289.17
437.170
859.444
327.907
644.583
202.355
515.667
48
1312.26
2580.00
656.155
1290.00
437.466
S60.000
328.129
645.000
262.533
516.000
49
1313.15
2581.67
656.599
1290.83
437.762
860.556
328.351
645.417
262.710
516.333
5O
1314.04
2583.33
657.043
1291.67
438.058
8(51.111
328.573
645.833
262.888
516 667
51
1314.90
2585.00
657.473
1292.50
438.344
^61.007
328.788
646.250
263.060
517.000
52
1315.76
2586.67
657.903
1293.33
438.631
862.222
329.003
646.667
203.232
517.333
53
1316.64
2588.33
658.347
1294.17
438.927
802.778
329.225
647.083
263.409
517.607
54
1317.53
2590.00
658.791
1295.00
439.223
863.333
329.447
647.500
263.587
518.000
55
1318.4-2
2591.67
659.235
1295.83
439.519
863.889
329.669
647.917
263.765
518.383
56
1319.31
2593.33
659.679
1296.67
439.815
864.444
3-29.891
648.833
263.942
518.007
57
1320.17
2595.00
660.1 OS
1297 50
440.102
865.000
380.106
648.750
204.114
519.000
58
1321.03
2596.67
660.538
1298.33
440.388
865.556
330.321
649.167
264.286
519.333
59
1321.92
2598.33
660.982
1299.17
440.684
866.111
33). 543
649.583
264.464
519. 667 -
96
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9* Curve.
1O° Curve.
25°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
211.796
416.667
181.568
357.143 158.903
312.500
141.27(3
277.778
127.181
250.000
O
211.944
416.944
181.695
357.381
159.014
312.708
141.375
277.903
127.270
250.167
1
212.092
417.222
181.822
357.619159.125
312.917
141.474
278.148
127.359
250.333
2
212.240
417.500
181.949
357.857
159.236
313.125
141.573
278.333
127.448
250.500
3
212.388
417.778
182.076
358.095
159.347
313.333
141.671
278.519
127.537
250.667
4
212.532
418.056
182.199
358.333
159.455
313.542
141 767
278.704
127.623
250.833
5
212.675
418.333
182.322
358.571
159.562
313.750
141.863
278.889
127 709
251.000
6
212.823
418.611
182.449
358.810
159.673
313.958
141.961
279.074
127.798
251.167
7
212.971
418.889
182.576
359.048
159.785
314.167
142.060
279.259
127.887
251.333
8
213.114
419.167
182.699
359.286
159.892
314.375
142.156
279.444
127.973
251.500
9
213.258
419.444
182.822
359.524
160.000
314.583
142.251
279.630
128.059
251.667
1O
213.40(5
419.722
182.949359.762
160.111
314.792
142.350
279.815
128.148
251.833
11
213.554
420.000
183.075360.000
160.222
315.000
142.449
280.000
128.237
252.000
12
213.697
420.278
183.198360.238
160.329
315.208
142.545
280.185
128.323
252.167
13
213.840
420.556
183.321 360.476
160.437
315.417
142.640
280.370
128.409
252.333
14
213.988
420.833
183.448360.714
160.548
315.625
142.739
280.556
128.498
252.500
15
214.137
421.111
183.575360.952
160.659
315.833
142.838
280.741
128.587
252.667
16
214.280
421.389
183.698361.190
160.767
316.042
142.933
280.926
128.673
252.833
17
214.423
421.667
183. 821 '361. 429
160.874
316.250
143.029
281.111
128.759
253.000
18
214.571
421.944
183.948
361.667
160.985
316.458
143.128
281.296
128.848
253.167
19
214.719
422.222
184.075
361.905
161.096
316.667
143.226
281.481
128.937
253.333
20
214.863
422.500
184.198362.143
161.204
316.875
143.322
281.667
129.023
253.500
21
215.006
4522.778
184.320362.381
161.311
317.083
143.418
281.852
129.109
253.667
22
215.154
423.056
184.4471 362. 619
161.422
317.292
143.516
282.037
129.198
253.833
23
215.302
423.333
184.574362.857
161.533
317.500
143.615
282.222
129.287
254.000
24
215.450
423.611
184.701363.095
161.645
317.708
143.714
282.407
129.376
254.167
25
215.598
423.889
184. 828 1363.333
161.756
317.917
143.813
282.593
129.465
254.333
26
215.742
424.167
184.951 363.571
161.863
318.125
143.908
282.778
129.551
254.500
27
215.885
424.444
185.074
363.810
161.971
318.333
144.004
282.963
129.637
254.667
28
216.033
424.722
185.201
364.048
162.082
318.542
144.103
283.148
129.726
254.833
29
216.181
425.000
185.328
364.286
162.193
318.750
144.201
283.333
129.815
255.000
30
216.324
425.278
185.451
364.524
162.300
318.958
144.297
283.519
129.901
255.167
31
216.468
425.556
185.574
364.762
162.408
319.167
144.393
283.704
129.987
255.333
32
216.616
425.833
185.700
365.000
162.519
319.375
144.491
283.889
130.076
255.500
33
216.764
426.111
185.827
365.238
162.630
319.583
144.590
284.074
130.164
255.667
34
216.907
426.389
185.950
365.470
162.738
319.792
144.686
284.259
130.251
255.833
35
217.050
426.667
186.073
365.714
162.845
320.000
144.781
284.444
130.337
256.000
36
217.199
426.944
186 200
365.952
162.956
320.208
144.880
284.630
130.426
256.167
37
217.347
427.222
186.327
366.190
163 067
320.417
144.979
284.815
130.514
256.333
38
217.495
427.500
186.454
366.429
163.179
320.625
145.078
285.000
130.603
256.500
39
217.643
427.778
186.581
366.667
163.290
320.833
145.176
285.185
130.692
256.667
4O
217.786
428.056
186.704
366 905
163.397
321.042
145.272
285.370
130.778
256.833
41
217.929
428.333
186.827
367.143
163.505
321.250
145.368
285.556
130.864
257.000
42
218.077
428.611
186.954
367.381
163.616
321.458
145.466
285.741
130.953
257.167
43
218.226
428.889
187.080
367.619
163 727
321.667
145.565
285.926
131.042
257.333
44
218.369
429.167
187.203
367.857
163.834
321.875
145.661
286.111
131.128
257.500! 45
218.512
429.444
187.326
368.095
163.942
322.083
145.756
286.296
131.214
257. 667 ' 46
218.660l429.72:>
187.4531368.333
164.053
322.292
145.855
286.481
131.303
257.833 47
218.808430.000
187.580368.571
164.164
322.500
145.954
286.667
131.392
258.000 48
218.956
430.278
187.707
368.810
164.275
322.708
146.053
286.852
131.481
258. 1G7 49
219.105
430.556
187.834
369.048
164.386
322.917
146.151
287.037
131.570
258.3.°3 50
219.248
430.833
187.957309.286
1 64. 494 ! 323. 125
146.247
287.222
131.656
258.500 51
219.391
431.111
188.080369.524
164. 601 1323. 333
146.343
287.407
131.742
258.6(57 52
219.539
431.389
188.2078fi9.762
164.712323.542
146.441
287.593
131.831
258.833 53
219.687
431.667
188.33* 370.000
164.824323.750
146.540
287.778
131.920
259.000 54
219.835
431.944
188.4(Jl 370.238
164.935323.958
146.639
287.963
132.009
259.167 55
219.983
482.222
1S8.5K7-370.476
165.046324.167
146.738
288.148
132.098
259.333 56
220.127
432.500
188. 710:370. 714
165.153324.375
146.833
288.333
132.184
259.500 57
220.270
432.778
188. 8153 370. 952
165.261 324 583
146.929
288.519
132.270
259.667 58
220.418
433.056
188.9601371.190
165.372324.792ll47.028
288.704
132.359
259.833 59
97
TABLE XIV.— ACTUAL TANGENTS, ETC.
26°
1° Carve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~0~
1322.802600.00
661.426
1300.00
440.980
866.667
330.765
650.000
264.642
520.000
1
1 323. 66 ( 2601. 67
661.856
1300.83
441.267
867.222
330. 9SO| 650. 41 7
2(54.814
520.333
2
1324.522603.33
662.286
1301.67
441.553
867.778
33 1.1 95650. 833
264.986
520.667
3
1325.41 2605.00
662.7:30
1302.50
441.849
868.333
331.417
651.250
265 163
521.000
4
1326.30J2606.6?
663.174
1303.33
442.145
868.889
881.889
651.667
265.341
521.333
5
1327.19
2608.33
663.618
1304.17
442.441
869.444
331.861
652.083
265.519
521.66?
6
1328.08
2610.00
(564.062
1305.00
442.737
870.000
332.083
652.500
2(55.696
522.000
7
1328.94
2611.67
664.492
1305.83
443.024
870.556
332.298
652.917
265.868
522 333
8
1329.79
2613.33
664.922
1306.67
443.310
871.111
332.513
653.333
266.040
522.667
9
1330.68
2615.00
665.366
1307.50
443.607
871.66?
332.735
653.750
266.218
523.000
10
1331.57
2616.67
665.810
1308.33
443.903
872.222
332.957
654.16?
266.395
523.333
11
1332.46
2618.33
666.254
1309.17
444.199
872.778
333.179
654.583
266.573
523.667
12
1333.352620.00
666.698
1310.00
444.495
873.333
333.401 655.000
2(56.751
524.000
13
1334.21
2621.67
667.128
1310.83
444.781
873.889
333.616I655. 417
266.923
524.3:33
14
1335.07
2623.33
667.557
1311.67
445.068
874.444
333.831 655.833
267.095
524.667
15
1335.95
2625 00
668.001
1312.50
445.364
875.000
334.053656.250
267.272
525 000
16
1336.84
2626.67
668.445
1313. as
445.660
875.556
334.2751656.667
267.450
525.333
17
1337.73
2628.33
568.890
1314.17
445.956
876.111
334.497
657.083
267.628
525.667
18
1338.62
2630.00
(569.334
1315.00
446.252
876.667
334.719
657.500
267.805
526.000
19
1339.48
2631.67
669.763
1315.83
446.539
877.222
334.934
657.917
267.977
526.333
20
1340.34
2633 33
670.193
1316.67
446.825
877.778
335.149
658.333
268.149
526.667
21
1341.23
2635.00
670.637
1317.50
447.121
878.333
335.371
658.750
268.32?
527.000
22
1342.11
2636 67
671.081
1318 33
447.417
878.889
335.593
659.167
268.505
527.333
23
1343.00
2638.33
671.525
1319.17
447.713
879.444
335.815
659.583
268.682
527.667
24
1343.89
2640.00
671.969
1320.00
448.009
880.000
336.037
660.000
268.860
528.000
25
1344.75
2641.67
672.399
1320.83
448.296
880.556
336.252
660.417
269.032
528.333
26
1345.61
2643.33
672.829
1321.67
448.582
881.111
336.467
660.833
269.204
528.667
27
1346.50
2645.00
673.273
1322.50
448.878
881.667
336.689
661.250
269.382
529.000
28
1347.38
2646.67
673.717
1323.33
449.174
882.222
336.911
661.66?
269.559
529.333
29
1348.27
2648.33
674.161
1324.17
449.47'0
882.778
337.133
662.083
269.73?
529.667
30
1349.16
2650.00
674.605
1325.00
449.767
^83.333
337.356
662.500
•269.915
530.000
31
1350.05
2651.67
675.049
1325. a3
450.063
^83.889
337 578
662.917
270.092
530.333
32
1350.94
2653.33
675.493
1326.67
450.359
884.444
337.800
663.333
•270.270
530.667
33
1351.80
2655.00
675.923
1327.50
450.645
885.000
338.015
663.750
270.442
531.000
34
1352.66
2656.67
676.353
1328.33
450.932
885.556
338.229
664.167
270.614
531.333
35
1353.54
2658.33
676 797
1329.17
451 . 228
886.111
338.452
664.583
270.791
531.667
36
1354.43
2660.00
677.241
1330.00
451.524
886.667
338.674
665.000
270.969
532000
37
1355.32
2661.67
677.685
1330.83
451.820
887.222
338.896
665.417
271.147
532.333
38
1356.21
9688.81
678.189
1331.67
452.116
887.778
339.118
665.833
271.324
532.667
39
1357.07
2665.00
678.559
1332.50
452.402
888.333
339.3:33
666.250
271.496
533.000
4O
1357.93
2666.67
678.988
1333.33
452.689
888.889
339.548
666.667
271.668
533.333
41
1358.82
2668.33
679.432
1334.17
452.985
S89.444
339.770
667.083
271.846
533.667
42
1359.70
2670.00
679.877
1335 00
453.281
S90.000
339.992
667.500
272.024 534.000
43
1360.59
2671.67
080.321
1335.83
453.577
^90.556
340.214
667.917
272.201 534.333
44
1361.48
2673.33
680.765
1336 67
453.873
891.111
340.436
668.333
272.379
534.667
45
1362.37
2675.00
681.209
ia37.50
454.169
891.66?
340.658
668.750
272.557
535.000
46
1363.26
2676.67
681.653
1338.33
454.465
892.222
340.880
660.167
272.734
535.333
;47
1364.12
2678.33
682.083
1339.17
454 752
892.778
341.095
669.583
272.906:535.667
48
1364.97
2680.00
682.512
1340.00
455.038
893.333
341.310
670.000
273.078536.000
49
1365.86
2681.67
682.956
1340.83
455.334
893.889
341 532
670.417
273.256
536.333
50
1366.75
2683.33
683.400
1341.67
455.630
804.444
341.754
670.833
273.434
536.667
51
1367.64
2685.00
683.844
1342.50
455.927
895.000
341.976
671.250
273.611 537.000
52
1368.53
2686.67
684.289 1343.33
456.223
H95 556
342.198
671.667
273.789537.333
53
1369.41
2688 33
684.733 1314.17
456.519
896.111
3 42. 420 672. OR3
273.967537.667
54
1370.30
2690.00
685.1771345.00
456.815
896.667
342.642672.500
274.144538.000
55
1371.16
2691.67
685.6061345.83
457.101
897.222
34-2. 857 072. 91 7
274.316538.333
56
1372.02
2693 . 33; 686 . 03fi 1 346 . 67
457.388
897.778
343. 072! 673. &33
274.488588.667
57
1372 91
2695 . 00 . 686 . 480 1 347 . 50
457.6,84
^98.333
243.294673.750
274.666539.000
58
1373.80
2696. 67 686. 924 11348. 33
457.980
898.889
343.516674.167
274.844539.333
59
1374.69
2698. 33: 687. 368 '1349. 17
458.276
899.444
343.738674.583
275.021 539.667
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
36°
Tan.
220.5(56
Arc.
433 333
Tan.
18-J.087
Arc.
371.429
Tan.
Arc.
Tail.
Arc.
Tan.
132T448
Arc.
260.000
M7
O
165.483
325.000
147.126
288.889
&J0.710
433.611
189.210371.667
165.590325.208
147.222
289.074
132.534
260.167
1
220.853
433.889
189.333371.905
165.698
325.417
147.318
289 259
132.620
260.333
3
221.001
434.167
189.460,372.143
165.809
325. 62£
147.416
289 444
132.709
260.500
3
221. 149
431.444
189.587
372.381
1*55.920
325.833
147.515
289.630
132.798
260.667
4
221.297
434.722
189.714
372.619
166.031
326.042
14-7.614
289.815
132.887
260.833
5
221.445
435.000
189.841
372.857
166.142
326.250
147.713
290.000
132.976
261.000
6
221.588
435.278
189.963
373.095
166.250
326.458
147.808
290.185
133.062
261.167
7
221.732
435.556
190 086
373.333
166.357
326.667
147.904
290.370
133.148
261.333
8
221.880
4:35.833
190.213
373.571
166.469
326.875
148.003
290.556
133.237
261.500
9
222.028
436.111
190.340
373.810
166.580
327.083
148.101
290.741
133.326
261.667
10
222.170
436.389
190.467
374.048
166.691
327.292
148.200
290.926
133.414
261.833
] 1
222.324
436.667
190.594
374.286
166.802
327. 500
148.299
291.111
133.503
262.000
12
222.467
436.944
190.717
374.524
166.909
327.708
148.395
291.296
133. 5S9
262.167
13
222.611
437.222
190.840
374.762
167.017
327.917
148.490
291 .481
133.675
262.333
14
222.759
437.500
190.967
375.000
167.128
328.125
148.589
291.667
133.764
262.500
15
222.907
437.778
191.094
375.238
167.239
328 333
148.688
291.852
133.853
262.667
16
223.055
438.056
191.221
375.476
167.350
328.542
148.787
292.037
133.942
262.833
17
223.203
4:38.333
191.348
375.714
167.461
328.750
148.8R5
292.222
134.031
263.000
18
223.340
438. Gil
191.470
375.952
167.569
328.958
148.981
292.407
134.117
263.167
19
223.490
438.889
191.593
376.190
167 676
329.167
149.077
292.593
134.203
263.33:3
2O
223.6:38
439.167
191.720
376.429
167.787
329.375
149.175
292.778
134.292
263.500
21
223.786
439.444
191.847
376.667
167.898
329.583
149.274
292.963
K34.381
263.667
22
223.934
439.722
191.974
376.905
168.010
329.792
149.373
293.148
134.470
263.833
23
224.082
440.000
192.101
377.143
168.121
330.000
149.472
293.3:33
134.559
264.000
24
224.225
440.27'8
192 224
377.381
168.228
330.208
149.567
293.519
134.645
264.167
25
224.369
440.556
19.5.347
377.619
168.336
330.417
149.603
293.704
134 731
264.333
26
224.517
440.833
192.474
377.857
168.447
330.625
149.762
293.889
134.820
264.500
21
224.665
441.111
192.601
378.095
168.558
330.833
149.8(50
294.074
134.909
264.667
28
224.813
441.389
192.728
378.333
168.669
331.042
149.959
294.259
134.998
264.833
29
224.961
441.667
192.855
378.571
168.780
331.250
150.058
294.444
135.087
265.000
30
225.109
441.944
192.982
378.810
168 891
1331.458
150.157
294.630
135.176
265.167
31
225.257
442.222
193.108
379.048
169.002
33 1.667
150.255
294.815
135 265
265.333
32
225.400
442.500
193.231
379.286
169.110
331.875
150.351
295.000
135.351
265.500
33
225.544
442.778
193.354
379.524
169.217
332.083
150.447
295.185
135.437
265.667
34
225.692
443.056
193.481
379.762
169.328
332 292
150.545
295.370
1,35.526
265.833
35
225.840
443.333
193.608
380.000
169.440
332.500
150.644
295.556
135.615
266.000
36
225.988
443.611
193.735
380 238
169.551
332.708
150.743
295.741
ia5.703
066.167
37
226.136
443.889
193.862
380.476
169.662
332.917
150.842
295.926
1:35.790
266. 3a3
38
226.279
444.167
193.985
380.714
169.769
333.125
150.937
296.111
135.878
266.500
39
226.423
444.444
194.108
380.952
169.877
333.338
151.033
296.296
135.964
266.667
40
226.571
444.722
194.235
381.190
169.988
333.542
151.132
296.481
136.053
266.833
41
226.719
445.000
194 362
381.429
170.099
333.750
151.230
296.667
136.142
267.000
4=2
226.867
445.278
194.489
381.667
170.210
333.958
151.329
296.852
136.231
267.167
43
227.015
445.556
194.615
381.905
170.321
334.167
151 428
297.037
136.320
267.333
44
227.163
445. 833
194.742
•382.143
170.432
334.375
151 .527
297.222
136.409
267.500
45
227 311
446.111
194.869j382.38l
170.543
334.583
151.626
297.407
136.498
067.667
46
227.454
446.389
194.992382.619
170.651
3:34.792
151.721
297.593
136.584
267 833
47
227.598
446.667
195.115382.857
170.758
335.000
151.817
297.778
136.670
268.000
48
227.746
446.944
195.242
383.095
170.870
335.208
151.916
297.963
136.759
268.167
49
227.894
417.222
195.3M
383.333
170.981
335.417
152.014
29^.148
136.848
268.333
50
228.042
447.500
195. 49(1383. 571
171.092
335.625
152.113
298.333
136.9-37
268.500
51
228.190
447.778
195.623383.810
171 203
335.833
152.212
298.519
137 026
268.667
52
228.338
418.056
195.7f)03K4.048
171 314
33(5.042
152.311
298.704
137.115
068 833
53
228.486
448. 333 195. 87 7 3S4. 280
171.42:.
336.250
152.405)
298.889
137.204
269.000
54
208. (>:>,<)
228 77 3
4 J 8. 611 196.000384.524
4 18. 889' 196. 122 38 4. 762
171.533
171.640
336.458
336. f ,67
152.505
152.601
299.074
299.259
137.290
137.376
269.167
269.333
55
56
228.901 449.167)196.249 3S5.000
171.751
336.875
152.699
099.444
137.465
269.500
57
229 069 449.444 19(5.376 3S5.238
171 862
337.083
152.798
299.630
137.554
069 667
r>8
229.2l7i4l9 722 190.503 385.476
171.973
337.292
152.897
299.815
137.643
269. 833
59
99
TABLE XIV.— ACTUAL TANGENTS, ETC.
37°
M.
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tail.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~cT
1375.57
2700.00
687.812
1:350.00
458.572
900.000
3437960
(3?5.000
275.199
540.000
1
1376.46
2701.67
688.256
1350.83
458. H6H
900.556
344.182
675.417
275.377
540. ai3
2
1377.35
2703.33
688.701
1351 67
459.161
901.111
344.404
675.833
275.5M
540.607
3
1378.21
2705.00
689.130
1352.50
459.451
U01.0G7
344.619
676.250
275.726
541.000
4
1379.0?
2706 67
689.560
1353.33
459.737
9U2.222
344.834
370 . 667
275.898
541.333
5
1379.96
2708.33
690.004
1354.17
460.033
U02.778
345.050
077.083
276.070
541.607
6
1380.85
2710.00
690.448
1355.00
460.329
903. sas
345.278
677.500
276.253
542.000
7
1381.73
2711.67
690.892
1:355.83
4(50.625
903.889
345.500
677.91?
276.431
542.333
8
1382.62
2713.33
691.336
1356.67
460.921
904.444
345.722
078.33:3
<J?'O.C09
542.007
9
1383.51
2715.00
691.780
1357.50
461.217
9U5.000
345.914
678.750
276.787
543.000
1O
1384.40
2716.67
692.224
ia58.33
461.514
905.556
34G.16?
679.107
27-6.964
543.333
11
1385.29
2718. as
692.608
^359.1?
461.810
906.111
S46.389
679.583
277.142
543.007
12
1386.17
2720.00
693.113
1:360.00
462.106
906.667
S46.611
680.000
277.320
544.000
13
1387.03
2721.67
69-]. 542
1360.83
462.392
907.222
S46.826
680.417
277.491
544.333
14
1387.89
2723.33
693.972
1361.67
462.679
907.778
347.040
080.833
277.003
544.667
15
1388.78
2725.00
694.416
1362.50
462.975
908. 333
S47.263
681.250
277.841
545.000
16
1389.67
2726.67
694 860
1363.33
463.271
908. h89
347.485
681.06?
278.019
545.333
17
1390.56
2728.33
695.304
1364.17
463.567
909.444
347.707
682.083
278.196
545.66?
18
1391.45
27:30.00
695.748
1365.00
463.863
910.000
S47.929
682.500
278.374
546.000
19
1392.33
2731.67
696.192
1365.83
464.159
910.556
S48.151
682.917
278.552
546.333
20
1393.22
2733.33
696.636
1366.67
464.455
911.111
348.373
683.333
278.729
546.667
21
1394.11
2735.00
697.080
1367.50
464.751
911.667
348.595
683.750
278.90?'
547.000
22
1395.00
2736.67
697.525
1368.a3
465.047
912.222
S48.817
084.107
279.085
547.333
23
1395.86
2738.33
697.954
1369.17
465.334
912.778
349.032
684.583
279.257
547.607
24
1396.72
2740.00
698.384
1370.00
465.620
913. 3:3:3
S49.24?
685.000
2? 9. 429
548.000
25
1397.60
2741.67
698.828
1370.83
465.916
913.889
349.469
685.417
279.006
548.333
26
1395.49
2743. 33
699.272
1371.67
466 212
914.444
'349.691
685.833
279.784
548.667
27
1399.38
2745.00
699.716
1372.50
466.508
915.000
349.913
086.250
279.902
549.000
28
1400.27
2746.67
700.160
1373.33
466.804
915.556
350.135
086.00?
280.139
549.333
29
1401.16
2748.33
700.604
1374.17
467.101
916.111
350.35?
687.083
2^0.317
549.667
3O
1402.05
2750.00
701.048
1375.00
467 397
916.66?
350.579
687. 5PO
280.495
550.000
31
1402.93
2751.67
701.492
1375.83
467.693
917.222
350.801
687.917
280.072
550.333
32
1403.82
2753.33
701.936
1376.67
467.989
917.778
351.023
088.3:33
280.850
550.607
33
1404.71
2755.00
702.381
1377.50
468.285
918.333
351.245
688.750
281.028
551.000
34
1405.60
2756.67
702.825
1378.33
468.581
918.889
351.468
689.167
281.205
551.333
35
1406.46
2758. a3
703.254
1379.17
468.867
919.444
a(31.G82
089.583
281.377
551.667
36
1407.32
2760.00
703 684
1380.00
469.154
920.000
351.897
690.000
281.549
552.000
37
1408.20
2761.67
704.128
1380.83
469.450
920.556
352.119
690.417
281.727
552. 333
38
1409.09
2763.33
704.572
1381.67
469.746
921.111
352.341
690.833
281.905
552.667
39
1409.98
2765.00
705.016
1382.50
470.042
921.667
352.564
691.250
282.082
553.000
40
1410.87
2766.67
705.460
1383. as
470.338
922.22v>
352.786
691.667
282.260
553.333
41
1411.76
2768.33
705.904
1384.17
470.634
922.778
353.008
092.083
282.438
553.667
42
1412.65
2770.00
706.348
1385.00
470.930
923.3:33
353.230
692.500
282.615
554.000
43
1413.53
2771.67
706.793
1385.83
471.226
923.889
353.452
692.917
282.793
554.333
44
1414.42
2773. as
707.237
1386.67
471.522
924.444
353.674
693.333
282.971
554.667
45
1415.31
2775.00
707.681
1387.50
471.818
925.000
353.896
693.750
283.148
555.000
46
1416.20
2776.67
708.125
1388.33
472.114
925.556
354.118
694.16?
283.326
555. a33
47
1417.06
2778.33
708.554
1389.17
472.401
926.111
354. .333
694.583
283.498
555.667
48
1417.92
2780.00
708.984
1390.00
472.687
9*6.667
354.548
695.000
283.670
556.000
49
1418.80
2781.67
709.428
1390.83
472.984
927.222
354.770
695.417
283.848
556.333
50
1419.69
2783.33
709 872
1391.67
473.280
927.778
354.992
695.833
284.025
556.667
51
1120.58
2785.00
710.316
1392.50
473.576
928.333
355.214
096.250
284.2(3
557.000
52
1121.47
2786.67
710.760
1393.33
473.872
928.889
355.436
696.607
284.381
557.33;3
53
1422.36
2788.33
711.205
1394.17
474.168
929.444
355.658
697.083
284.558
557.667
54
1423.25
2790.00
711.649
1395.00
474.464
930.000
355.880
697.500
284.730
558.000
55
1424 13
2791.67
712.093
1395.83
474.760
930.556
356.102
097.917
284.914
558.333
56
1425.02
2793.33
712.537
1396.67
475. 050
931.111
356.324
698. 333
285.091
558.667
57
1425.91
2795.00
712.981
1397.50
475.352
931.667
356.546
098.750
285.269
559.000
58
1426.80
2796.67
713.425
1398. as
475.648
932.222
356.768
699.167
285.44?
559.333
59
1427.69
2798.33
713.869
1399.17
475.914
932. 7781356. 9'J1
099.583
2a5.624
559.667
100
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
27°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
337 500
Tan.
Arc.
300.000
Tan.
137.731
Arc.
M.
&J9.365
450.000
196.630
385.714
172.084
152.996
270.000
a
229.513
450.278
196.757
385.952
172.196
337.708
153.095
300.185
137.820270.167
i
229.661
450.556
196.884
386.190
172.307
337.917
153.193
300.370
137.909 ^70.333
2
229.805
450.833
197.007
386.429
172.414
338.125
153.289
300.556
137.995270.500
3
229.948
451.111
197.130
386.667
172.522
338.333
153.384
300.741
138.081
270.607
4
230.096
451.389
197.257
386.905
172.633
338.542
153.483
300.926
138.170
27'0.833
5
230.244
-151.667
197.384
387.143
172.744
338.750
153.582
301.111
138.259271.000
G
230.392
451.944
197.511
387.381
172.855
338.958
153.681
301.296
138.348
271.167
7
230.540
452.222
197.638
387.619
172.966
339.167
153.780
•301.481
138.437
271.333
8
230.688
452.500
197.765
387.857
173.077
339.375
153.878
301.667
138.526
271.500
9
230.836
452.778
197.892
388.095
173.188
339.583
153.977
301.852
138.615
271.667
10
230.985
453.056
198 019
388.333
173.299
339.792
154.076
302.037
138.704
271 833
11
231.133
453.333
198.145
388.571
173.411
340.000
154.175
302.222
138.793
272.000
12
231.276
453.611
198.268
888.810
173.518
340.208
154.270
302.407
138.879
272 167
13
231.419
453.889
198.391
389.048
173.626
340.417
154.366
302.593
138.965
272.3:33
14
231.567
454.167
198.518
389.286
173.737
340 625
154.465
302.778
139.054
272.500
15
231.715
454.444
198.645
389.524
173.848
340.833
154.563
302.963
139.143
272 667
16
231.863
454.722
198.772
389.762
173.959
341.042
154.662
303.148
139.232
272.833
17
232.012
455.000
198.899
390.000
174.070
341.250
154.761
303.333 139.321
273.000
18
232.160
455.278
199.026
390.238
174.181
341.458
154.860
303.519
139.409
273.167
19
232.308
455.556
199.153
390.476
174.292
341.667
154.959
303.704
139.498
273.333
20
232.456
455.833
199.280
390.714
174.403
341.875
155.057
303.889
139.587
273.500
21
232.004
456.111
199.407
390.952
174.514
342.083
155.156
304.074
139.676
273.667
22
232.747
456,389
199.530
391.190
174.622
342.292
155.252
304.259
139.762
273.833
23
232. b90
456.667
199.652
391.429
174.729
342.500
155 347
304.444
139.848
274.000
24
233.039
456.944
199.779
391.667
174.841
342.708
155.446
304.630
139.937
274.167
25
233.197
457.222
199.906
391.905
174.952
342 917
155.545
304.815
140.026
274.333
26
233.335
457.500
200.033
392.143
175.063
343.125
155.644
305.000
140.115
274.500
27
233.483
457.778
200.160
392.381
175.174
343.333
155.742
305.185
140.204
274.667
28
233.631
458.056
200.287
392.619
175.285
343.542
155.841
305.370
140.293
274.833
29
233.779
458.333
200.414
392.857
175.396
343.750
155.940
305.556
140.382
275.000
30
233.927
458.611
200.541 393.095
175.507
343.958
156.039
305.741
140.471
275.167
31
234.075
458.889
200. 668 j 393. 333
175.618
344.167
156.137
305.926
140.560
275.333
32
234.223
459.167
200.795 393.571
175.729
344.375
156.236306.111
140.649
275.500
33
234.371
459.444
200.922393.810
175.840
344.583
156.335306.296
140.738
275.667
34
894.515
459.722
201.045:394.048
175.948
344.792
156.431 306.481
140 824
275.833
35
384.658
460.000
201.168394.286
176.055
345.000
156.526306.667
140.910
276.000
36
234. 806 '400. 27 8
201.295394.524
176.167
345.208
156.6251306.852
140.999
276.167
37
234. 954 1460. 556
201.422394.762
176.278
345.417
156.724
307.037
141.088
276.333
38
235.102J460.833
201.548395.000
1
176.389
345.625
156.823
307.222
141.176
276.500
39
235.250461.111
201.675395.238
176.500
345.833
156.921
307.407
HI. 265
276.667
40
235.398461.389
201.802395.476
176.611
346.04?
157.020
307.593
141.354
276. 8S3
41
235.546461.667
201.929395.714
176.722
346.250
157.119307.778
141.443
277.000
42
235.695461.944
202.056395.952
176.833
346.458
157.2181307.963
141.532
277.167
43
235 843462.222
202.183396/190
176.944
346.667
157. 316*308. 148
141.621
277.333
44
235.991 462.500
202.310396.429
17 .055
346.875
157.415308.333
141.710
277.500
45
23(5.139
462.778
202.437396.667
17 .166
347.083
157.514308.519
141.799
277.007
46
236.282
463.056
202.560396.905
17 .274
347.292
157.610
308.704
141.885
277.833
47
236.425
463.333
202.683397.143
17 .381
347.500
157.705
308.889
141.971 278.000
48
236.573
463.611
202.810
397.381
177.493
347.708
157.804
309.074
142.060
278.167
49
236.722
463.889
202.937
397.619
17~.604
347.917
157.903
309.259
142.149
278.333
50
230.870
464.167
203.064397.857
17^.715
348.125
158.001
309.444
142.23F 278.500
51
237.018
464.444
203.191 398.095
17 .826
348.333
158.100
309.630
142.3-.7278.667
52
237.166
464.722
203.3183D8.333
177.937
348.542
158.199
309.815
142.410 278.833
53
237.314
465.000
203.445 398 571
178.048
348.750
158.298
310.000
142.505 27'9.000
54
237.462
465.278
203.571
398.810
178.159
348.958
158.397
310.185
142.593279.167
55
237.610
4R5.556
203.698
399.048
178.270
349.167
158.495
310.370
142.682:279.333
56
237.758
465.833
203.825
399.286
178.381
149.375
158.594
310.556
142.771,27'9.500
57
237.906
166.111
203.952
399.524
178.493
349.583
158.693
310.741
142. 860 1279. 607
58
238.054
466.389
204.079
399.762
178.604
349.792
158.792
310.926
142. 949 |279. 833
59
101
TABLE XIV. — ACTUAL TANGENTS, ETC.
28°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tau.
Arc.
Tan.
Arc.
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
0
1428.57
2800.00
714.313
1400.00
476.240933.333
357.213
700.000
285.802
560.000
1
14-29.46
2801.67
714.757
1400.83
476.536933.889
357.435
700.417
285.980
500.333
2
1430.35
2803.33715.201
1401.67
476.832934.444
357.057
700.833
286.157
560.607
3
1431.24
2805.00
715.645
1402.50
477.128935.000
357.879
701.250
286 335
5(11.000
4
1432.13
2806.67
716.089
1403.33
477.424 935.556
358.101
701.607
286.513
561.333
5
1433.01
2808.33
716.533
1404.17
477.721 936.111
358.323
702.083
286.690
501.667
6
1433.90
2810.00
716.977
1405.00
478.017936.667
358.545
702.500
286.868
562.000
7
1434.76
2811.67
717 407
1405.83
478.303937.222
358.760
702.917
287.040
562.333
8
1435.62
2813.33
717.837
1406.67
478.590937.778
358.975
703.333
287.212
562.667
9
1436.51
2815.00
718.281
1407.50
478.886938.333
359.197
703.750
287.390
563.000
10
1437.40
2816.67
713.725
1408.33
479 182938.889
359.419
704.167
287.567
563 333
11
1438.29
2818.33,719.169
1409.17
479.478939.444
359.641
704.583
287.745
563 667
13
1439,17
2820.00 719 613
1410.00
479.774940.000
359.863
705.000
287.923
564.000
13
1440.06
5821.67
720.057
1410.83
480.070940.556
360.085
705.417
288.100
564.333
14
1410.05
2823 33
720.501
1411.67
480 366 941.1 11
360.307
705.833
288.278
564.667
15
1441.84
2825.00
720.94')
1412.50
480 662941.667
360.529
706.250
288.456
565.000
16.
144-2. 73
2826.67
721.389
1413.33
480.958942.222
360.751
706.667
288.633
565.333
17 1443.61
2828,33
721.833
1414.17
481.254942.778
360.973
707.083
288.811
565.667
18
1444.50
2830.00
722.278
1415.00
481.550943.333
361.195
707.500
288.989
566 000
19
1445.39
2831.67
722.722
1415.83
481.846:943.889
361.418
707.917
289.160
566.333
20
1446.28
2833.33
723.166
1416.67
482.142944.444
361.640
708.333
289.344
566.667
21
1447.17
2835.00
723.610
1417.50
482.438945.000
361.802
708.750
289.522
567.000
22
1448.05
2836.67
724.054
1418 33
482.735945.556
362.084
709.167
289.699
567.333
23
1448.94
2838.33
724.498
1419.17
483.031 946.111
362.306
709.583
289.877
567.667
24:
1449.83
2840.00
724.942
14-20.00
483.327946.667
36-2.528
710.000
290.055
508.00!)
25
1450.72
2841 67
725.186
1420 83
483. 6. >:{ 947. 222
362.750
710.41?
290.232
568.333
26
1451.61
3843 .33
725.830
14-21.67
483.919947.778
362.972
710.833
290.410
568.667
27
1452 49
2845.00
726.274
1422.50
484.215948.333
363.194
711 250
290.588
5(59.000
28
1453.38
2846.67
726.718
1423.33
484.511 948.889
363.416
711.667
290.765
569.333
29
1454.2?
2848.33
727.162
1424.17
484,807949.444
363.638
712.083
290.943
569. C67
30
1455, 16
2850.00
727.606
1425.00
485.103950.000
363.860
712.500
291.121
570.000
31
1456.05
2851 ,67
728 050
1425.83
485.399950.556
364.082
712.917
291.298
570.333
32
1456.94
2853.33
728.494
14-26.67
485. 695951. Ill
304.304
713.333
291.470
570.667
33
1457.82
2855.00
728.938
1427.50
485.991:951.667
364.526
713.750
291 654
571.000
34
1458.71
2856.67
729.383
1428.33
486.287952.222
364 749
714.167
291.831
571.333
35
1459.60
2858.33
729 827
1429.17
486. 583 952. 77H
364.971
714.583
292.009
571.667
36
1460.49
2860.00
730.271
1430.00
486.879953.333
365.193
715.000
292.187
572.000
37
1461.38
2861.67
730.715
1430.83
487.175-953.889
365.415
715.417
292.364
572.333
38
1462.26
2803.33
731.159
14-51.67
487.472i'954.444
305.637
715.838
292.542
572.667
39
1463. 15
2865.00
731.603
1432.50
487.768955.000
365.859
716.250
292.720
573.000
40
1464,04
2866.67
732.017
1433.33
488.064:955.556
366.081
716.667
292 897
573.333
41
14(54.93
2868,33
732.491
1434.17
488.360556.111
366.303
717.083
293.075
573.667
42
1465. 8:>
2870,00
732.9%
1435.00
488.656956.667
366.525
717.500
293.253
574.000
43
1466.70
2871.67
733.379
1435.83
488 952-957.222
366'. 747
717.917
293.430
574.333
44
1467.59
•2873.33
733.8231436.67
489.248957.778
366.969
718.333
293.608
574.667
45
1468.48
2875.00
734. 2(37(1437.50
489.544 958.333
367.191
718.750
295.786
575.000
46
1469.57
•2876.67
734.71111438.33
489.840958.889
367.413
719.167
293.964
575.333
47
1470.26
2878.33
735.155J1439.17
490.136959.444
367.635
719.583
294.141
575.667
48
1471,14
2880.00
735. 599! 1440. 00
190. 432 '960. 000
367.857
720.000
294.319
576.000
49
1472.03
2881.67
736.043
1440.83
490.728.960.556
368.080
720.417
294.497
576.333
50
1472.92
2883.33
736. 4H8
1441.67
491.624961.111
368.302
720.833
294.674
576.667
51
1473.81
2385.00
736.932
1442.50
491. 320% 1.66?
368.524
721.250
294.852
577.000
52
1474.70
2886.67
737.376
1443.33
491 .-61 6 962. 222
368.746
721.667
295.030
577.333
53
1475.59
2888.33
737.820
1444.17
491J912962.778
308.968
722.083
295.207
577.607
54
1476.47
2890.00
738.264
H45.00
492 .209 -963.333
309.190
722.500
295.385
578.000
35
1477.36
2891. .67
788.708
1445.83
492.505963.889
369.412
722.917
295 563
578.333
56
1478.25
2893.33
739.152
1446.67
492. flOl 964,444
369.634
723.333
295.740
578.667
57
1479..14
2895.00
739.596
1447.50
493.097965.000
369.856
723.750
295.918
579.000
58
1480.03
2896.07
740.040
1418.33
4 03. 393 965.550
370 078
724.167
290.096
579.333
59
1480.91
2898.33
740.484
1449.17
4D3.6S9 906.1 11
370.300
724. 5831 296. 273
579.667
102
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
28°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
288.202
466.667
204.206
400.000
178.715
350.000
158.890
311.111
143.038
280.000
O
238.350
466.944
204.333
400.238
178.826:350 208
158.989
311.296
143.127
280.167
1
238.499
467.222
204.460
400.476
178.937
350.417
159.088
311.481
143.216
280.333
2
238. 64T
467.500
204.587
400.714
179.048
350.625
159 187
311.667
143.305
280.500
3
238.795
467.778
204.714
400.952
179.159
350.833
159.286
311.852
143.394
280.667
4
238.943
468.056
204.841
401.190
179.270
351.042
159.384
312.037
143.483
280.833
5
239.091
4(58. 333
204.968
401.429
179.381
351.250
159.483
312.222
143.572
281.000
6
239.234
468.611
205.091
401.667
179.489
351.458
159.579
312.407
143.658
281.167
7
239.377
468.889
205.214
401.905
179.596
351.667
159.674
312.593
143.744
281.333
8
239.526
469.167
205.341
402.143
179.707
351.875
159.773
312.778
143.833
281.500
9
239.674
469.444
205.467
402.381
179.819
352.083
159.872
312.963
143.922
281.667
1O
239.822
469.722
205.594
402.619
179.930
352.292
159.971
313.148
144.010
281.833
11
239.970
470.000
205.721
402.857
180.041
352.500
160.069
313.333
144.099
282.000
12
240.118
470.278
205.848
403.095
180.152
353.708
160.168
313.519
144.188
282 167
13
240.266
470.556
205.975
403 333
180.263
352.917
160.267
313.704
144.277
282.333
14
240.414
470.833
206.102
403.571
180.374
353.125
160.366
313.889
144.366
282.500
15
240.562
471.111
206.229
403.810
180.485
353.333
160.465
314.074
144.455
282.667
16
240.710
471.389
206.356
404.048
180.596
353.542
160.563
314.259
144.544
282.833
17
240.858
471.667
206.483
404.286
180.707
353.750
160.662
314.444
144.633
283.000
18
241.006
471.944
206.610
404.524
180.818
353.958
160.761
314.630
144.722
283.167
19
241.154
472.222
206.737
404.762
180.930
354.167
160.860
314.815
144.811
283.333
2O
241.303
472.500
206.864
405.000
181.041
354.375
160.958
315.000
144.900
283.500
21
241.451
472.778
206.991
405.238
181.152
354.583
161.057
315.185
144.989
283.667
22
241.59:>
473.056
207.118
405.476
181.263
354.792
161.156
315.370
145.078
283.833
23
241.747
473.333
207.245
405.714
181.374
355.000
161.255
315.556
145.166
284.000
24
241.895
473.611
207.372
405.952
181.485
355.208
161.354
315.741
145.255
284.167
25
242.043
473.889
207.499
406.190
181.596
355.417
161.45-2
315.926
145.344
284.333
26
242.191
474.167
207.626
406.429
181.707
355.625
161.551
316.111
145.433
284.500
27
242.339
474.444
207.753
406.667
181.818
355.833
161.650
316.296
145.522
284.667
28
242.487
474.722
207.880
400.905
181.929
356.042
161.749
316.481
145.611
284.883
29
242.635
475.000
208.006
407.143
182.041
356.250
161.847
316 667
145.700
285.000
30
242.783
475.278
208.133
407.381
182.152
356 458
161.946
31 G. 852
145.789
285.167
31
242.931
475.556
208.260
407.619
182.263
356.667
162.045
317.037
145.878
285.333
32
243.080
475.833
208.387
407.857
182.374
356.875
162.144
317.222
145.967
285.500
33
243.228
476.111
208.514
408.095
182.485
357.083
162.243
317.407
146.056
285.667
34
243.376
476.389
208.641
408.333
182.596
357.292
162.341
317.593
146.145
•285.833
35
243.524
476.667
208.768
408.571
182.707
357.500
162.440
317.778
146.234
286.000
36
243.672
476.944
208.895
408.810
182.818
357.708
162.539
317.963
146.322
286.167
37
243.820
477.222
209.022
409.048
182.929
357.917
162.638
318.148
146.411
286.333
38
243.968
477.500
209.149
409.286
183.040
358.125
162.736
318.333
146.500
286.500
39
244.116
477.778
209.276
409.524
183.152
358.333
162.835
318.519
146.589
286.667
40
244.264
478.056
209.403
409.762
183.263
358.542
162.934
318.704
146.678
286.833
41
244.412
478.333
209.530
410.000
183.374
358.750
163.033
318.889
146.767
287.000
42
244.560
478.611
209.657
410.238183.485
358 958
163.132
319.074
146.856
287.167
43
244.708
478.889
209.784
410.476 183.596
359.167
163.'230
319.259
146.945
287.333
44
244.857
479.167
209.911
410.714183.707
359.375
163.329
319.444
147.034
287.500
45
245.005
479.444
210.038
410.952 183.818
a^9.583
163.428
319.630
147.123
287.667
46
245.153
479.722
210.165
411.190183.929
359.792
163.527
319.815
147.212
287.833
47
245.301
480.000
210.292
411. 429 j 184. 040
360.000
163.625
320.000
147.301
288.000
48
245.449
480.278
210.418
411.667
184.151
360.208
163.724
320.185
147.390
288.167
49
245.597
480.556
210.545
411.905
184.263
360 417
163.823
320.370
147.478
288.333
50
245 . 745
480.833
210.672
412.143
184.374
360.625
163.92-2
320.556
147.567
288.500
51
245.893
481.111
210.799
412.381
184 4a5
360.833
164.0-21
320.741
147 656
288 667
52
246.041
481.389
210.926
412.619184.596
8(51.042
164.119
320.926
147.745
288.833
53
246.189
481.667
•211.053
412.857184.707
361.250
164.218
321 111
147.834
•289.000
54
246.337
481.944
•211.180
413.095184.818
361.458
164.317321.296
147.9-23
289.107
55
246.485
482.222
211.307
4 13. 333 184. 929 '361.667
164 416321 481
148.012
289.333
56
246.633
482.500
•211.434
413.571 185. 040i361.875
164.514
321.667
148.101
289.500
57
246.782
482.778
211.561
413.810185.151
362.083
164.613
321.852
148.190
289.667
58
246.930
483.056
211.688
414.048 185.262
362.292
164.71-2
3-22.037
148.279
289.833
59
103
TABLE XIV. — ACTUAL TANGENTS, ETC.
3<>°
~M^
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Are.
Tan.
Arc.
Tan.
Arc.
0
1481.80
2900 . 00
740. 92b
1450.00
493.985
966.667
370.522
725.000
296.451
580.000
i
1482 69
2901.67
741.372
1450.8)
494.281
967.222
370.744
725.417
296.629
580. 3.«
2
1483.58
2903.33
741.816
1451.67
494.577
967.778
370.966
725.833
296.806
580.007
3
1484.47
2905.00
742.260
1452.50
494.873
968.333
371.188
726.250
296.984
581.000
4
1485.35
2906.67
742.704
1453.33
495.169
968.889
371.411
726.667
297.162
581.3:33
5
1486.24
2008.33
743.149
1454.17
495.465
969.444
371.633
727.083
297.339
581.667
6
1487.13
2910.00
743.593
1455.00
495.761
970.000
371.855
727.500
297.517
582.000
7
1488. OJ
2911.67
744.037
1455.83
496.057
970.556
372.077
727.917
S97.695
582.3:33
8
1488.91
2913.33
744.481
1456.67
496.353
971.111
372.299
728.333
297.872
582.667
9
1489.79
2915.00
744.925
1457.50
496.649
971.667
372.521
728.750
298.050
583.000
10
1490.68
2916 67
745.369
1458.33
496.946
972.222
372.743
729.167
298.228
583.333
11
1491.57
2918.33
745.813
1459.17
497.242
972.778
372.965
729.583
298.405
583.667
13
1492.46
2920.00
746.257
1460.00
497.538
973.333
373.187
730.000
298.583
584.000
13
1493.35
2921.67
746.701
1460.83
497.834
973.889
373.409
730.417
298.761
584.333
14
1494.24
2923.33
747.145
1461.67
498.130
974.444
373.631
730.8313
298.938
584.667
15
1495.12
2925.00
747.589
1462.50
498.426
975.000
373.853
731.250
299.116
585.000
16
1496.01
2926.67
748.033
1463.33
498.722
975.556
374.075
731.667
299.294
585.333
17
1496.90
2928.33
748.477
1464.17
499.018
976.111
374.297
732.083
299. 471 1 585. 667
18
1497.79
2930.00
748.921
1465.00
199.314
976.667
374. 51 9 ^32. 500
299.649
586.000
19
1498.68
2931.67
749.305
1465.83
499.610
977.222
374.742
732.917
299.827
586,333
20
1499.56
2933.33
749.809
1466.67
499.906
977.778
374.964
733.333
300.004
586.667
31
1500.45
2935.00
750.254
1467.50
500.202
978.333
375.186
733.750
300.182
587.000
22
1501.34
2936.67
750.698
1468.33
500.498
978.889
375.408
734.167
300.360
587.333
23
1502.26
2938.33
751.156
1469.17
500.801
979.444
375 . 637
734.583
300.543
587.667
34
1503.17
2940.00
751.614
1470.00
501.109
980.000
375.866
735.000
300.727
588.000
35
1504.06
2941.67
752.058
1470.83
501.406
980.556
376.088
735.417
300.904
588.333
36
1504.95
2913.33
752.503
1471.67
501.702
981.111
376.310
735.833
301.082
588.667
37
1505.84
2945.00
752.947
1472.50
501.998
981.667
376.532
736.250
301.260
589.000
38
1506.73
2946.67
753.391
1473.33
502.294
982.222
376.754
730.667
301.437
589.333
39
1507.61
2948.33
753.835
1474.17
502.590
982.778
376.977
737.083
301.615
589.667
30
1508.50
2950.00
754.279
1475.00
502.886
983.333
377.199
737.500
301 793
590.000
31
1509.39
2951.67
754.723
1475.83
503.182
983.889
377.421
737.917
301.970
590.333
33
1510.28
2953.33
755.167
1476.67
503.478
984.444
377.643
738.333
302.148
590.667
33
1511.17
2955.00
755.611
1477.50
503.774
985.000
377.865
738.750
302.326
591.000
34
1512.05
2956.67
756.055
1478.33
504.070
985.556
378.087
739.167
302.503
591.333
35
1512.94
2958.33
756.499
1479.17
504.366
986.111
378.309
739.583
302.681
591 . 6(57
36
1513. as
2960.00
756.943
1480.00
504.662
986.667
378.531
740.000
302.859
592.000
37
1514.72
2961.67
757.387
1480.83
504.958
987.222
378.753
740.417
303.036
592.333
38
1515.61
2963.33
757.831
1481.67
505.254
987.778
378.975
740.8:33
303.214
592.667
39
1516.50
2965.00
758.275
1482.50
505.550
988.333
379.197
741.250
303.392
593 000
40
1517.38
2966.67
758.719
1483.33
505.846
988.889
379 419
741.667
303.569
593.333
41
1518.30
2968.33
759.178
1484.17
506.152
989.444
379.649
742.083
303.753
593.607
43
1519.22
2970.00
759.636
1485.00
506.458
990.000
379.878
742.500
303.930
594.000
43
1520.10
2971.67
760.080
1485.83
506.754
990.556
380.100
742.917
304.114
594.333
44
1520.99
2973.33
760.524
1486.67
507.050
991.111
380.322
743.333
304.291
594.607
45
1521.88
2975.00
760.968
1487.50
507.346
991.667
380.544
743.750
304.469
595.000
46
1522.77
2976.67
761.412
1488.33
507.642
992.222
380 766
744.167
304.647
595.333
47
1523.66
2978.33
761.857
1489.17
507.938
992.778
380.988
744.583
304.825
595.667
48
1524.55
2980.00
762.301
1490.00
508.234
993. a33
381.210
745.000
305.002
596.000
49
1525.43
2981.67
762.745
1490.83
508.530
993.889
381.432
745.417
305.180
596.333
50
1526.32
2983.33
763.189
1491.67
508.826
994.444
381.054
745.833
305.358
596.667
51
1527.21
2985.00
763.633
1492.50
509 122
995.000
381.876
746.250
305.535
507.000
53
1528.10
2986.67
764.077
1493.33
509.418
995.556
382.098
746.667
305.713
597.33:3
53
1528.99
2988.33
764.521
1494.17
509.714
996.111
382.320
747.083
305.891
59r.6'i7
54
1529.87
2990.00
764.965
1495.00
510.010
996.667
382. 543 ! 747. 500
306.068
598.000
55
1530.79
2991 . 67
765.4231495.83
510.316
997.222
382.772
747.917
806.253
598.333
50
1531.71
2993.33
765.882
1496.67
510.622
997.778
388.001
748.333
306.43559S.Gf,7
57
1532.60
2995.00
766.326
1497.50
510.918
998.333
383.223
748.750
306.613509.000
58
1533.48
2996.67
766.77'0
1498.33
511 214
998.889
383.445
749.167
306 790 590 . 333
59
153 4. 371-2998. 33
767. 21411499. 17
511.510
999.444
383.667749.583
306.968599.007
104
TABLE XTV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
29°
Tan.
2477078
Arc.
483.333
Tan.
Arc.
Tan.
Arc.
Tan.
161.811
Arc.
322.222
Tan.
1487368
Arc.
M7
211.815
414.286
185.374
302.500
•390.00(i
o
247.226
483.611
211.942
414.524
185.485
362. 70S
164.909
322.407
148.457
290.107
1
247.374
483.889
212.069
414.762
185.596
362.917
165.008
322.593
148.546
•390.333
2
247.522
484.167
212.196
415.000
185.707
303.125
165.107
322.778
148.634
•390.500
3
247.670
484.444
212.323
415.238
185.818
363.333
165.206
322.963
148.723
290.607
4
247.818
484.722
212.450
415.476
185.929
363 542
165.305
323.148
148.812
-390.833
5
247.966
485.000
212.577
415.714
186.040
363.750
165.403
323.333
148.901
291.000
6
248.114
485.278
212.704
415.952
186.151
363.958
165.502
3-33.519
148.990
291.167
7
248.262
485.556
212.830
416.190
186.202
364.167
165.601
323.704
149.079
291.333
8
248.410
485.833
212.957
416.429
186.374
364.375
165.700
323.889
149.168
291.500
9
248.559
486.111
213.084
416.667
186.485
364.583
165.798
324 074
149.257
291.667
10
248.707
486.389
213.211
416.905
186.590
364.792
165.897
324.259
149.346
291.833
11
248.855
486.667
213.338
417.143
186.707
365.000
165.996
324.444
149.435
292.000
13
249.003
486.944
213.465
417.381
186.818
365.208
166.095
3-34.630
149.524
292.167
13
249.151
487.222
213.592
417.619
186.929
365.417
166.194
824.815
149.613
292.333
14
249.299
487.500
•313.719
417.857
187.040
365.625
166.292
325.000
149.701
292.500
15
249.447
487.778
213.846
418.095
187.151
365.833
166.391
325.185
149.790
292.667
16
249.595
488.056
213.973
418.333
187.262
366.042
166.490
325.370
149.879
292.833
17
249.743
488.333
214.100
418.571
187.373
306.250
166.589
325.556
149.968
293.000
18
249.891
488.611
•314.227
418.810
187.485
366.458
166.687
325.741
150.057
293.167
19
250.030
488.889
214.354
419.048
187.596
366.667
166.780
325.926
150.146
293 333
20
250.187
489.167
214.481
419.286
187.707
366 875
166.885
326.111
150.235
293.500
21
1350.336
489.444
214.608
419.524
187.818
367.083
166.984
326.296
150.324
293.667
22'
250.488
489.722
214.739
419.762
187.93-3
367.292
167.086
3-36.481
150.416
293.833
23
250.641
490.000
214.870
420.000
188.047
367.500
167.188
326.667
150.508
294.000
24
250.789
490. 27S
214.997
420.238
188.158
367.708
167.287
3-36.852
150.596
294.167
25
2£0.937
490.556
215.124
420.476
188.269
307.917
167.385
327.037
150.685
294.333
26
251. C80
490.833
215.251
420.714
188.380
368.125
167.484
327.222
150.774
294.500
27
251.2J34
491.111
215.378
420.952
188.492
368.333
167.583
327.407
150.863
294.667
28
251.382
491.389
215.505
421.190
188.603
368.542
167.682
327.593
150.952
294.633
29
251.530
491.667
215.63-3
421.429
188.714
368.750
167.780
327.778
151.041
295.000
3O
251.678
491.944
215.758
421.667
188.825
368.958
167.879
327.963
151.130
295.167
31
251.826
492.222
215.885
421.905
188.936
369.167
167.978
328.148
151.219
295.333
33
251.974
492.500
216.012
422.143
189.047
369.375
168.077
328.333
151.308
295.500
33
252.1-32
492.778
216.139
422.381
189.158
369.583
168.176
3-38.519
151.397
295.667
34
252.270
493.056
216.266
422.619
189.269
369.792
168.274
328.704
151.486
295 >33
35
252.418
493.333
216.393
422 857
189.380
370.000
168.373
328.889
151.575
296.000
36
252.506
493.611
216.520
423.095
189.491
370.208
168.472
329.074
151.664
296.167
37
25-3.714
493.889
216.647
423.333
189.603
370.417
168.571
329.259
151.752
296.333
38
252.863
494.167
216.774
423.571
189.714
370.625
168.609
329.444
151.841
296.500
39
253.011
494.444
216.901
423.810
189.825
370.833
168.768
329.630
151.930
296.667
40
253.163
494.722
217.032
424.048
189.939
371.042
168.870
329.815
152.022
296.833
41
253.316
495.000
217.163
424.286
190.054
371.250
168.972
330.000
152.114
297. COO
42
253.464
495.278
217.290
424.524
190.165
371.458
169.071
330.185
152.203
297.167
43
253.612
495.556
217.417
424.762
190.276
371.667
169.170
330.370
152.292
297.333
44
253.761
495.833
217.544
425.000
190.387
371.875
169.268
330.556
152.381
297.500
45
253.909
496.111
217.671
425.238
190.499
372.083
169.367
330.741
152.470
297.667
46
254.057
496.389
217.798
425.476
190.610
372.292
169.466
330.926
152.558
297.833
47
254.205
490 607
217.925
425.714
190.721
372.500
169.565
331.111
152.647
298.000
48
254.353
496.944
•318.052
425.952
190.832
372.708
169.664
331.296
152.736
298.167
49
254.501
497.22-3
218.179
426.190
190.943372.917
169.76-3
331.481
152.825
298.333
50
254.649
497.500
218.306
426.429
191.054373.125
169.861
331.667
152.914
298.500
51
254.797
497.778
218.433
426.667
191.165373.333
169.960
331.852
153.003
298.667
52
254.945
498.056
218.560
426.905
191.276373.542
170.059
332.037
153.092
298.833
53
255.093
498.333
218.686
427.143
191.387373.750
170.157
332.222
153.181
299.000
54
255.246
498.611
218.818
427.381
191.502373.958
170.259
33-3.407
153.273
299.167
55
255.399
498.889
218.949
427.619
191.617374.167
170.361
332.593
153.364
299.333
5(5
255.547
499.167
219.076
427.857
191.728374.375
170.460
332 778
153.453
299.500
57
255.695
499.444
219.202
428.095
191.839374.583
170. 559 1332. 963
153.542
299.607
58
255.843
499.722
219.3-39
428.333
191.950374.79-3
170.6581333.148
153. 631 1299.833| 59
105
TABLE XIV.— ACTUAL TANGENTS, ETC.
30°
1° Curve.
2° Curve.
Tan. | Arc.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Are
Tan.
Arc.
Tan.
Arc.
Tan. Arc.
O
1535.26
3000.00
767.658
1500.00
511.806
1000.00
383.889
750. 000 307. 146 (500. 000
1
1586.15
3001.67
768 . 102
1500.83
512.102
1000.5(5
884. HI
750.417:307.323000.333
2
1537.04
3003.33
7(58.546
1501.67
512.3*$
1001.11
>:8 1.333
750.833307.501 600.667
3
1587.92
3005.00
768.990
1502.50
512.091
10(11.07
384.. 555
751.250307.679601.000
4
1538.81
3006.67
769.434
1503.33
512.99(1
1 002.2, !
384.778
751.667
307.856601.333
5
1539.70
3008.33
769.878
1504.17
513.280
1002.78
385.000
752.083
308.034601.607
6
1540.59
3010.00
770.322
1505.00
513.582
1003.33
385.222
752.500
308.212602.000
7
1541 51
3011.67
770.781
1505.83
513.888
1003.89
385.451
752.917
308.395602.333
8
1542.42
3013. M
771.239
1506.67
514.194
1004.44
385 680
753.333
308.579602.067
9
1543.31
3015.00
771.683
1507.50
514.490
1005.00
385.902
753.750
308.756 603.000
|
10
1544.20
3016.67
772.127
1508.33
514.786
1005.56
386.124
754.167
308.934603.333
11
1545.09
3018.33
772.571
1509.17
515.082
1006.11
386.346
754.583
309.112603.667
12
1545.97
3020.00
773.015
1510.00
515.378
1006.67
886.568
755.000
309.289,604.000
13
1546.8(5
3021.67
773.459
1510. as
515.674
1007.22
386.790
755.417
309.467604.333
14
1547.75
3023.33
773 904
1511.67
515.970
1007.78
387.013
755.8.33
309.645604.667
15
1548.64
3025.00
774.348
1512.50
516.266
1008.33
387.235
756.250
309.822605.000
16
1549.53
3026.67
774.792
1513.33
516.562
1008.89
387.457
756.007
310.000:605.333
17
1550.44
-J028.33
775.250
1514.17
516.868
1009.44
387.686
757.083
310.183
605.667
18
1551.3(5
3030.00
775.708
1515.00
517.173
1010.00
387.915
757.500
310.307
606.000
19
1552.25
3031.67
776.153
1515.83
517.469
1010.56
388.137
757.917
310.544
606.333
20
1553.14
3033.33
776.597
1516.67
517.765
1011.11
388.359
758.333
310.722
606.667
21
1554.02
3035.00
777.041
1517.50
518.061
1011.67
388.581
758.750
310.900
607.000
22
1554.91
3036.6;
777.485
1518.33
518.358
1012.22
388.803
759.167
311.077
607.333
23
1555.80
3038.33
777.929
1519.17
518.654
1012.78
389.025
7'59.583
311.255
607.667
24
1556.69
3040.00
778.37'3
1520.00
518.950
1013 33
389.248
760.000
311.488
008.000
25
1557.61
3041. (57
778.831
1520.83
519.255
1013.89
389.477
760.417
311.616
608.333
26
1558.52
W43.33
779.290
1521.67
519.561
1014.44
389.706
760.833
311.800
608 667
27
1559.41
3045.00
779.734
1522.50
519.857
1015.00
389.928
761.250
311.977
609.000
28
1560.30
3046.67
780.178
1523.33
520.153
1015.56
390.150
761.067
312.155
609.333
29
1561.19
3048.33
780.622
1524.17
520.449
1016.11
390.372
762.083
312.333
609.607
30
1562.07
3050.00
781.066
1525.00
520.745
1016.67
390.594
762.500
312.510
010.000
31
1562.96
3051.67
781.510
1525.83
521.041
1017.22
390.816
762.917
312.688
610.333
32
1563.85
3053.33
781.954
1526.67
521.337
1017.78
391.038
763. aS3
312.866
610.667
33
1564.77
3055.00
782.412
1527.50
521.643
1018.33
391.268
763.750
313.049
611.000
34
1565.68
3056.67
782.871
1528. as
521.948
1018.89
391.497
764.167
313.232
611.333
35
1566.57
3058.33
783.315
1529.17
522.245
1019.44
391.719
764.583
313.410
611.667
36
1567.46
3060.00
783.759
1530.00
522.541
1020.00
391.941
765.000
313.588
612.000
37
1568.35
3061.67
784.203
1530.83
522.837
1020.56
392.163
765.417
313.765
612.333
38
1569.24
3063.33
784.647
1531.67
523.1 as
1021.11
392.385
765.833
313.943
612.667
39
1570.12
3065.00
785.091
1532.50
523.429
1021.87
392.607
766.250
314.121
613.000
40
1571.01
3066.67
785.535
1533.33
523.725
1022.22
392.829
766.667
314.299
613.333
41
1571.93
3068.33
785.994
1534.17
o24.030
1022.78
393.059
767.083
314.482
613.667
42
1572.85
3070.00
786.452
1535.00
524.336
1023.33
393.288
767.500
314.665
614.000
43
1573.73
3071.67
786.896
1535.83
524.632
1023.89
393.510
767.917
3M.843
614.333
44
1574.62
3073.33
787.340
1536.67
524 928
1024.44
393.73*
768.383
315.021
614.007
45
1575.51
3075.00
7'87.784
1537.50
525.224
1025.00
393.954
768.750
315.198
615.000
46
1576.40
3076.67
788.228
1538.33
525.520
1025.56
394.176
769.167
315.376,615.333
47
1577.32
3078.33
788.687
1539.17
525.826
1026.11
304.405
769.583
315.. 559: 6 15. 007
48
1578.23
3080.00
789.145
1540.00
5-26.132
1026.67
394.634
770.000
315.743 010.000
49
1579.12
3081.67
789.589
1540.83
526.428
1027.22
394.857
770.417
315.920
616.333
50
1580.01
3083.33
790.033
1541.67
526.724
1027.78
395.079
770.833
:<1 0.008
010 007
51
1580.90
3085.00
790.477
1542.50
527.020
1028.33
395.301
771.250
3H> 276
(517 000
52
1581.78
3086.67
790.921
15-13.33
527.316
1028.89
395.523
771.607
3; 6. 454
017.333
53
1582.67
30S8.33
791.365
1544.17
527.012
1029 44
305.745
77.. 083
3 Hi. 031
017.007
54
55
1583.56
1584.48
3090.00
3091.67
791.809
792.268
1545.00
1545.83
527.908
528.214
1030.00
1030.56
395.967772.500
390.196772.917
316.800
310 002
518 000
51 K. 333
56
15S5.39
3093. 33
792.726
154(5.67
528.519
J031.11
300 425 7 73. 333! 3 1 7J7<;
sis. 007
57
1586.28
3095.00
793.170
1547.50
528.815
1031.67
39(U)47 77 3. 7'.5() 3 17. 3:.:!
519.000
58
1587.17
•3096.67
793.614
1548.33
529.111
1032.22
390.869 774.1(17
317.531
>19.3:-:3
59
1588.06
3098.33
794.058 1549.17
529 407
1032.78
397.092774.583
317.709
019.067
106
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
3O°
Tan.
Arc.
Tan.
Arc.
Tan.
1 92.061
Arc.
375.000
Tan.
170.756
Arc.
333.333
Tan.
153.720
Arc.
M.
255.991
500.000
219.456
428.571
300.000
O
250.139
500.278
219.583
428.810
192.172
375.208
170.855
3:33.519
153.809
300.167
1
250.288
500.556
219.710
429.048
192.283
375.417
170.954
333.704
153.898
300.333
2
256.436
500.833
219.837
429.286
192.394
375.625
171.053
333.889
153.987
300.500
3
256.584
501.111
219.964
429.524
192.506
375.833
171.152
334.074
154.076
300.667
4
256.732
501.389
220.091
429.762
192.617
376.042
171.250
334.259
154.165
300.833
5
256.880
501.667
220.218
430.000
192.728
376.250
171.349
334.444
154.254
301.000
6
857.083
501.944
220.349
430.2138
192.842
376.458
171.451
334.630
154.346
301.167
7
257.186
502.222
220.480
430.476
192.957
376.667
171.553
334.815
154.437
301.333
8
257.334
502.500
220 ..607
430.714
193.068
376.875
171.652
335.000
154.526
301.500
9
257.482
502.778
220.734
430.952
193.179
377.083
171.751
335.185
154.615
301.667
1O
257.630
503.056
220.861
431.190
193.290
377.292
171.849
335.370
154.704
301.833
11
257.778
503.333
220.988
431.429
193.402
377.500
171.948
335.556
154.793
302.000
12
257.926
503.611
221.115
431.667
193.513
377.708
172.047
335.741
154.882
302.167
13
258.074
503.889
221.242
431 . 905
193.624
377.917
172.146
335.926
154.971
302.333
14
258.222
504.167
221.369
432.143
193.735
378.125
172.244
336.111
155.060
302.500
15
258.370
504.444
221.496
432.381
193.846
378.333
172.343
336.296
155.149
302.667
16
258.523
504.72^
221.627
432.619
193.961
378.542
172.445
336.481
155.240
302.833
17
258.676
505.000
221.758
432.857
194.075
378.750
172.547
336.667
155.332
303.000
18
258.824
505.278
221.885
433.095
194.186
378.958
172.646
336.852
155.421
303.167
19
258.972
505.556
222.012
433.333
194.298
379.167
172.745
337.037
155.510
303.333
20
259.120
505.833
222.139
433.571
194.409
379.375
172.844
337 222
155.599
-303.500
21
259.268
506.111
222.266
433.810
194.520
379.583
172.942
33?! 407
155.688
303.667
22
259.416
506.389
222 393
434.048
194.631
379.792
173.041
337.593
155.777
303.833
23
259 564
506.667
222.519
434.286
194. 742
380.000
173.140
337.778
155.866
304.000
24
259.717
506.944
222.651
434.524
194.857
380.208
173.242
337.963
155.958
304.167
25
259.870
507.222
222.782
434.762
194.971
380.417
173.344
338.148
156.049
304.333
26
260.018
507.500
222.909
435.000
195.082
380.625
173.443
338.333
156.138
304.500
27
260.166
507.778
223.035
435.238
195.193
380.833
173.541
338.519
156.227
304.667
28
260.314
508.056
223.162
435.476
195.305
381.042
173.640
338.704
156.316
304.833
29
260.462
508.333
223 289
435.714
195.416
381.250
173.739
338.889
156.405
305.000
30
260.611
508.611
223.416
435.952
195.527
381.458
173.838
339.074
156.494
305.167
31
260.759
508.889
223.543
436.190
195.638
381.667
173.936
339.259
156.583
305.333
32
260.911
509.167
223.674
436.429
195.753
381.875
174.038
339.444
156.675
305.500
33
261.064
509.444
223.805
436.667
195.867
382.083
174.140
339.630
156.766
305.667
34
261.212
509.722
223.932
436.905
195.978
382.292
174.239
339.815
156 855
305.833
35
261.361
510.000
224.059
437.143
196.089
382.500
174.338
340.000
156.944
306.000
36
261.509
510.278
224.186
437.381
196.201
382.708
174.437
340.185
157.033
306.167
37
261.657
510.556
224.313
437.619
1% 312
382.917
174.535
340.370
157.122
306.333
28
261.805
510.833
224.440
437.857
196.423
383.125
174.634
340.556
157.211
3C6.500
39
261.953
511.111
224 567
438.095
196.534
383.333
174.733
340.741
157.300
306.667
40
262.106
511.389
224.698
438. 333
196.649
383.542
174.835
340.926
157.392
306 833
41
262.259
511.667
224.829
438.571
196.763
383.750
174.937
341.111
157.484
307.000
42
262.407
511.944
224.956
438.810
196.874
383 958
175.036
341.296
157.573
307.167
43
262.5.55
512.222
225.083
439.048
196.985
384.167
175.134
341.481
157.661
307.333
44
262.703
512.500
225.210
439.286
197.097
384.375
175.233
341.667
157.750
307.500
45
262.851
512.778
225.337
439.524
197.208
384.583
175.332
341.852
157.839
307.667
46
263.004
513.056
225.468
439.762
197.322
384.792
175.434
342.037
157.931
307.833
47
263.157
513.333
225.599
440.000
197.437
385.000
175.536
342 222
158.023
308.000
48
263.305
513.611
225.726
440.238
197.548
385.208
175.635
342.407
158.112
308.167
49
263.453
513.889
225. 853
440.476
197.659
385.417
175.734
342.593
158.201
308.333
50
263.601
514.167
2:25.980
440 714
197.770
385.625
175.832
342.778
158.290
308.500
51
263.749
514.444
226.107
440.952
197.881
385.833
175.931
342.963
158.379
308.667
52
263 897
514.722
226.234
441.190
197.993
386.042
176.030
343.148
158.467
'308.833
53
264.045
515.000
226.361
441.429
198.104
386.250
176.129
343.333
158.556
309.000
54
264.198
515.278
226.492
441.667
198.218386.458
176.231
343.519
158.648
309.167
55
264.351
515.556
226.623
441.905
198. 333 1386. 667
176 333
343.704
158.740
309.333
56
264.499
515.833
226.750
442.143
198.444336.875
176.431
343.889
158.829
309.500
57
264.647
516.111
226.877
442.381
198.555387.083
176.530
344.074
158.918
309.667
58
264.795
516.389
227.004
442.619
198.666387.292
176.629
344.259
159.007
309.833
59
107
TABLE XIV. — ACTUAL TANGENTS, ETC.
31°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
1588.95
3100.00
794.502 1550.00
529.103
1033.33
397.314
715.000
317.8S6 6^U.OOO
1
1 589. 8(5
3101.67
794.961
1550.83
530.009
1033.89
397.543
775.417
318.070
020.333
2
1590.78
3103.33
795.419
1551.67
530.315
1034.44
397.772
775.833
318.253
620.667
3
1591.07
3105.00
795.863
1552.50
530.611
1035.00
397.994
776.250
318.431
621.000
4
1593.56
3106.67
796.307
1553.33
530.907
1035.56
398.216
776.667
318.609
621.333
5
1593.44
3108.33
796 751
1554.17
531.203
1036.11
398.438
777.083
318.786
021.667
6
1594.33
3110.00
797^195
1555.00
531.499
1036.67
398.600
777.500
318.964
G--22.000
7
1595.25
3111.67
797.654
1555.83
531 . 804
1037.22
398.890
777.917
319.147
622.333
8
1596.17
3113.33
798.112
1556.67
532.110
1037.78
399.119
778.333
319.331
622.607
9
1597.05
3115.00
798.556
1557.50
532.406
1038.33
399.341
778.750
319.508
623.000
1O
1597.94
3116.67
799.000
1558.33
532.702
1038.89
399.563
779.167
319.686
623.333
11
1598.86
3118.33
799.459
1559.17
533 COS
1039.41
399.792
779.583
319.869
623.667
12
1599.78
3120.00
799.91?
1560.00
533.313
1040.00
400.021
780.000
3-20.053
624.000
13
1600.66
3121.67
800.3(51
1560.83
533.609
1040.56
400.243
780.417
320.231
624.333
14
1601.55
3123.33
800.805
1561.67
533.906
1041.11
400.406
780.833
320.408
624.667
15
1602.44
3125.00
801.249
1562.50
53 1. 202
1011.67
400.688
781.250
320.586
625.000
16
1603.33
3126.67
801.693
1563.33
534.498
1012.22
400.910
781 . 667
320.764
625.333
17
1604.24
3128.33
802.152
1564.17
534.803
1042.78
401 . 139
782.083
320.947
625.667
18
1605.16
3130.00
802.610
1565.00
535.109
1043.33
401 . 368
782.500
321.130
626.000
19
1606.05
3131.67
803.054
1565.83
535.405
1013.89
401.590
; 82. 917
321.308
626.333
20
1606.91
3133.33
803.498
1566.67
535.701
1044.41
401.812
783.333
321.486
626.667
21
1607.83
3135.00
803 942
1567.50
535.997
1015.00
403.031
783.750
321.663
627.000
22
1608.71
3136.67
804.386
1568.33
536.293
1045.56
402 250
1-84.161
321.841
627.333
23
1609.63
3138.33
804.845
1569.17
536.599
1046.11
402.486
784.583
322.024
627.667
34
1610.55
3140.00
805.303
1570.00
536. 90 J
1040.07
402.715
785.000
322.208
628.000
25
1611.44
3141.67
805.747
1570.83
387.300
1047.22
402.937
785.417
322.386
628.333
26
1612.32
3143.33
806.191
1571.67
537.497
1047.78
403.159
785.833
322.563
628.667
21
1613.24
3145.00
806.650
1572.50
537.802
1048.33
103.388
786.250
322.747
629.000
28
1614.16
3146.67
807.108
1573.33
538.108
1048.89
403.617
786.667
322.930
629.333
29
1615.05
3148.33
807.552
1574.17
538.404
1049.44
403.839
787.083
323.108
629.667
3O
1615.93
3150.00
807.996
1575.00
538.700
1050.00
404.06-2
787.500
323.285
630.000
31
1616.82
3151.67
808.440
1575.83
533.996
1050.56
404.284
787.917
323 463
630.333
32
1617.71
3153.33
808.884
1576.67
539.292
1051.11
404.506
788.333
323.641
630.667
33
1618.63
3155.00
809.343
1577.50
539.598
1051.67
404.735
788.750
323.824
631.000
34
1619.54
3156.67
809.801
1578.33
539.903
1052.22
404.964
789.107
324.008
631.333
35
1620.43
3158.33
810.245
1579.17
540.199
1052.7H
405.186
789.583
324.185
631.667
36
1621.32
3160.00
810.689
1580.00
540.495
1053.33
405.408
790 000
324.363
632.000
37
1622.24
3161.67
811.148
1580.83
540.801
1053.89
405.638
790.41?
3-24.546
032.333
38
1623.15
3163.33
811.606
1581.67
541.10"7
1054.44
405.867
790.832
324.730
632.667
39
1624.04
3165.00
812.050
1582.50
541.403
1055.00
\ 06. 089
791.250
324.907
033.000
40
1624.93
3166.67
812.491
15S3.P.3
541.699
1055.56
406.311
791.667
325.085
033.333
41
1625.82
3168.33
81 2. 93 s
1584.17
541.995
1056.11
406.533 792.083
3-25.263
033.667
43
1626.70
3170.00
813.382
1585.00
542.291
1056.67
406.755792.500
325.440
034.000
43
1627.62
3171.67
813.841
1585.83
542.596
1057.22
406. 984 '792. 91 7
325.624
034.333
44
1628.54
3173.33
814.299
1586.67
542.902
1057.78
407.213:793.333
325.807
034.607
45
1629.43
3175.00
814.743
1587.50
543.198
1058.33
407.436,793.750
325.985
035.000
46
1630.31
3176.67
815.187
1588.33
543.494
1058.89
407. 058i 794. 167
326.108
035.333
47
1631.23
3178.33
815.646
1589.17
543.800
1059.44
407. 887! 794. 583
326.346
035.007
48
1632.15
3180.00
816.104
1590.00
544.105
1060.00
408. 1 16 ' 795. 000
326.529
036.000
49
1633.04
3181.67
816.548
1590.83
544.401
1060.56
408. 338:795. 417
326.707
636.333
50
1633.92
3183.33
816.992
1591.67
544.698 1061.11
408.560795.833
326.885
636.667
51
1634.84
3185.00
817.450
1592.50
545.003 1061.67
408.789
79G.250
327.068
037.000
52
1635.76
3186.67
817. 909 11593. 33
545.309 1062.22
409.019
796.607
327.251
037.333
53
1636.65
3188.33
818.35311594.17
545.605 1062.78
409.241 797.083
327.429
037.007
54
1637.53
3190.00
S18.797' 1595.00
545.901 1063.33
409. 463 5 797. 500
227.607
038.000
55
1638.45
3191.67
319.255 1595.83
546.20(5 1063.89
409.692:797.917
327.790
038.333
56
1639.37
3193.33
819.714 1596.67
546.512 1064.44
409 92 1 798 . 333 327 . 974
038.607
57
1640.26
3195.00
820.15811597.50
546.808 1065.00
410.143 T98. 750 328. 151
039.000
58
1641.14
3196.67
820.602
1598.33
547.104 1005.56
410.305 799.167
328.329039.333
59
1642.06
3198.33
821.060
1599.17
547.410 1066.11
410.595,799.583
328. 512 1039. 607
108
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
31°
Tan.
204.943
Arc.
516.667
Tan.
227.131
Arc.
Tan.
Are.
Tan.
Arc.
Tan.
15970~96
Arc.
310.000
M.
~o
442.857
198.777
387.500
176.758
344.444
265.096
516.944
227.262
443.095
198.892
387.708
176.830
344.630
159.187
310.167
i
265.249
517.222
227.393
443.333
199.007
387.917
176.932
344.815
159.279
310.333
2
265.397
517.500
227.520
443.571
199.118
388.125
177.030
345.000
159.368
310.500
3
265.545
517.778
227.647
443.810
199.229
388.333
177.129
345.185
159'. 457
310.667
4
265.693
518.056
227.774
444.048
199.340
388.542
177.228
345.370
159 546
310 833
5
965.841
518.333
227.900
444.286
199.451
388.750
177.327
345.556
159.635
311.000
6
265.994
518.611
228.031
444.524
199.566
388.958
177.429
345.741
159.727
311.167
7
266.147
518.889
228.163
444.762
199.681
389.167
177.531
345.926
159.819
311.333
8
266.295
519.167
228.289
445.000
199.792
389.375
177.629
346.111
159.907
311.500
9
266.443
266.596
519.441
519.722
228.416
228.547
445.238
445.476
199.903
200.017
389.583
389.792
177.728
177.830
346.296
346.481
159.996
160.088
311 667
311.833
10
11
266.749
520.000
228.679
445.714
200.132
390.000
177.932
346.667
160.180i312.000
12
266.89?
52 J. 278
228.805
445.952
200.243
390.208
178.031
346.852
160.269
312.167
13
267.045
520.556
228.932
446.190
200.354
390.417
178.130
347.037
160.358
312.333
14
267.193
520.833
229.059
446.429
200.465
390.625
178.228
347.222
160.447
312.500
15
267.341
521.111
229.186
446.667
200. 57(
390.833
178.327
347.407
160.536
312.667
16
267.494
521.389
229. 31 7! 446. 905
200.691
391.042
178.429
347.593
160.627
312.833
17
267.647
521.667
2^9.448
447.143
200.806
391.250
178.531
347.778
160.719
313.000
18
267.795
521.944
229.575
447.381
200.917
391.458
178.630
347.963
160.808
313.167
19
267.943
522.222
229.702
447.619
201.028
391.667
178.729
348.148
160.897
313.333
20
268.091
522.500
229.829
447.857
201.139
391.875
178.827
348.333
160.986
313.500
21
268.239
522.77'8
229.956
448.095
201.250
392.083
178.926
348.519
161.075
313.667
22
268.392
523.056
230.087
448.333
201.365
392.292
179.028
348.704
161.167
313.833
23
268.545
523.333
2:30.218
448.571
201 .480
392.500
179.130
348.889
161.258
314.000
24
268.693
523.611
230.345
448.810
201.591
392.708
179.229
349.074
161.347
314.167
25
268.841
523.889
230.472
449.048
201.702
392.917
179.328
349.259
161.436
314.333
26
268.994
524.167
230.603
449.286
201.817
393.125
179.430
349.444
161.528
314.500
27
269.147
524.444
•J30.734
449 524
201.931
393.333
179.532
349.630
161.620
314.667
28
269.295
524 722
230.861
449.762
202.042
393.542
179.630
349.815
161.709
314.833
29
269.443
525.000
230.988
450. OCO
202.153
393.750
179.729
350.000
161.798
315.000
30
269.591
525.278
231.115
450.238
202.265
393.958
179.828
350.185
161.887
315.167
31
269.739
525.556
231.242
450.476
202.376
394.167
179.927
350.370
161.976
315.333
32
269.892
525.833
231.373
450.714
202.490
394.375
180.029
350.556
162.067
315.500
33
270.045
526.111
231.504
450.952
202.605
394.583
180.131
350.741
162.159
315.667
34
270.193
526.389
881.681
451.190
202.716
394.792
180.229
350.926
162.248
315.833
35
270.341
526.667
231.758
451.429
202.827
395.000
180.328
351.111
162.337
316.000
36
270.494
526.944
231.889
451.667
202.942
395.208
180.430
351.296
162.429
316.167
37
270.647
527.222
232.020
451.905
203.057
395.417
180.532
351.481
162.521
316.333
38
270.795
527.500
232.147
452.143
203.168
395.625
180.631
351.667
162.610
316.500
39
270.943
527.778
232.274
452.381
203.279
395.833
180.730
351.852
162.698
316.667
40
271.091
528.056
332.401
452.619
203.390
396.042
180.828
352.037
162.787
316.833
41
271.239
528.333
232.5-<8
452.857
203.501
396.250
180.927
352.222
162.876
317.000
42
271.392
528.611
232.659
453.095
203.616
396.458
181.029
352.407
162.968
317.167
43
271.545
528.889
.232.790
453.333
203.730
396.667
181.131
352.593
163 060
317.333
44
271.693
529.167
232.917
453.571
203.841
396.875
181.230
352.778
163.149
317.500
45
271.841
529.444
233.044
453.810
203.953
397.083
181.329
352.963
163.238
317.667
40
271.994
529.722
233.175
454.048
204.067
397.292
181.431
353.148
163.329
317.833
47
272.147
530.000
<233.306
454.286
204.182
397.500
181.533
353.333
163.421
318.000
48
272.295
530.278
233.433
454.524
204 293
397.708
181.631
353.519
163.510
318.167
49
272 443
^30.556
233.560
454.762
204.404
397.917
181.730
353.704
163.599
318.333
5O
272 ! 696
530.833
233.691
455.000
204.519
398.125
181.832
353 889
163.691
318.500
51
272.749
531.111
233.822
455.238
204.633
398.333
181.934
354.074
163.783
318.667
52
272.897531.389
233.949
455.476
204.745
398.542
182.033
354,259
163.872
318.833
53
273.045531.667
234.076
455.714
204.856
398.750
182.132
354.444
163.9(1
319.000
54
273.1981531.944
234.207455.952
204.970
398.958
182 234
354 630
164.052
'319.167
55
273. 350 1532.222
234.338450.190
205.085
399.167
182.336
354.815
164.144
319.333
5C>
273.498532.500
234. 465'456. 429
205.196
399.375
182.434
355.000
164.233
319.500
57
273.6471532.778
234.592456.667
205.307
399.583
182.533
355. 1R5
164.322
319.667
58
273. 7 99 1533.056
234.723456.905
205.422
399.792
182.635
355.370
164.414
319.833
59
109
TABLE XIV. — ACTUAL TANGENTS, ETC.
32°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~~O"
Tun.
T642.98
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
3200. 00
821.519
1600.00
547.715
1066.67
410.824
800.000
328.696
640.000
1
1643.87
3. '01. 67
821.963
1600.83
548.012
1067.22
411.046
800.417
328.873
640.333
3
1644.75
3203.33
822.407
1601.67
548.308
1067.78411.208
800.833
329.051
640.667
3
1645.67
3205.00
822.865
1602.50
548.613
1068.33
411.497
801.250
329.235
641.000
4
1646.59
3206.67
823.324
1603. 33
548.919
1068.89
411.726
801.667
329.418
641.333
5
1647 47
3208.33
823.768
1604.17
549.215
1069.44
411.919
802.083
329.590
641.667
6
1648.315
3210.00
824.212
1605.00
549.511
1070.00
412.171
802.500
329.773
642.000
7
1649.25
3211.67
824.656
1605.83
549.807
1070.56
412.393
802.917
329.951
642.333
8
1650.1-1
3213.33
825.100
1606.67
550.103
1071.11
412.615
803.333
330.129
642.667
9
1651.06
3215.00
825.558
1607.50
550.409
1071.67
412.844
803.750
330.312
643.000
10
1651.97
3216.67
826.017
1608.33
550.714
1072.22
413.073
804.167
330.495
643.333
11
1652.89
3218.33
826.475
1609.17
551.020
1072.78
413.302
804.583
330.679
643.607
13
1653.81
3220.00
820.933
1610.00
551.325
1073.33
413.532
805.000
330.862
644.000
13
1654.69
3221.67
827.377
1610.83
551.622
1073.89
413.754
805.417
331.040
644.333
14
1655.58
3223.33
827.822
1611.67
551.918
1074.44
413.976
805.833
331.218
644.667
15
1656.50
3225.00
828.280
1612.50
552.223
1075.00
414.205
806.250
331.401
645.000
10
1657.42
3226.67
828.738
1613.33
552.529
1075.56
414.434
806.667
331.584
645.333
17
1658.30
3228.33
829.182
1614.17
552.825
1076.11
414.656
807.083
331.762
645.667
18
1659.19
3230.00
829.626
1615.00
553.121
1076.67
414.878
807.500
331.940
646.000
19
1660.11
3231.67
830.085
1615.83
553.427
1077.22
415.108
807.917
332.123
646.333
30
1661.03
3233.33
830.543
1616.67
553.732
1077.78
415.337
808.333
332.307
646.667
21
1661.91
3235.00
830.987
1617.50
554.028
1078.33
415.559
808.750
332.484
647.000
22
1662.80
3236.67
881.481
1618. as
554.324
1078.89
415.781
809.167
332.662
647.333
23
1663.72
3238.33
831.890
1619.17
554.630
1079.44
416.010
809.583
332.845
647.667
24
1664.64
3240.00
832.348
1620.00
554.936
1080.00
416.239
810.000
333.029
648.000
25
1665.52
3241.67
832.792
1620.83
555.232
1080.56
416.461
810.417
333.206
648.333
26
1666.41
3243.33
833.236
1621.67
555.528
1081.11
416.081
810.833
333.881
648.667
37
1667.33
3245.00
833.695
1622.50
555.833
1081.67
416.913
811.250
388.667
649.000
28
1668.24
3246.67
834.153
1623.33
556.139
1082.22
417.142
811.667
333.751
649.333
29
1669.13
3248.33
834.597
1624.17
556.435
1082.78
417.364
812.083
333.929
649.667
30
1670.02
3250.00
835.041
1625.00
556.731
1083.33
417.586
812.500
334.106
650.000
31
1670.94
3251.67
835.500
1625.83
557.037
1083.89
417.815
812.917
334.290
650.333
32
1671.85
3253.33
835.958
1626.67
557.342
1084.44
418.045
813.333
334.473
650.667
33
1672.74
3255.00
836.402
1627.50
557.638
1085.00
418.267
813.750
334.651
651.000
34
1673.63
3256.67
836.846
1628.33
557.934
1085.56
418.489
814.167
334.828
651.333
35
1674.55
3258.33
837.304
1629.17
558.240
1086.11
418.718
814.583
135.012
651.667
36
1675.46
3260.00
837.763
1630.00
558.546
1086.67
418.947
815.000
335.195
652.000
37
1676.38
3261.67
838.221
1630.83
558.851
1087.22
419.176
815.417
335.379
652.333
38
1677.30
3263.33
838.680
1631.67
559.157
1087.78
419.406
815.833
835.563
652.667
39
1678.19
3265.00
839.124
1632.50
559.453
1088. 33
419.628
816.250
335.740
653.000
4O
1679.07
3266.67
839.568
1633.33
559.749
1088.89
419.850
816.667
335.917
653.333
41
1679.99
3268.33
840.026
1634.17
560.055
1089.44
420.079
817.083
336.101
653.667
43
1680.91
3270.00
840.485
1635.00
560.360
1090.00
420.308
817.500
336.284
054.000
43
1681.80
3271.67
840.929
1635.83
560.656
1090.50
420.530
817.917
336.462
654. 333
44
1682.68
3273.33
841.373
1636.67
560.952
1091.11
420.752
818.333
336.640
654.667
45
1683.60
3275.00
841. as i
1637.50
561.258
1091.67
420.982
818.750
336.823
655.000
46
1684.52
3276.67
842.289
1638.33
561.564
1092.22
421.211
819.167
337.006
655.833
47
1685.43
3278.33
842.748
1639.17
561.869
1092.78421.440
'819.583
337.190
655.667
48
1686.35
3280.00
843.206
1610.00
562.175
1093.33421.669
820.000
337.373
656.000
49
1687.24
3281.67
843.650
1640.83
562.471
1093.89
421.891
820.417
337.551
656.333
5O
1688.13
3283.33
844.094
1641.67
562.767
1094.44
422.113
820.833
337.728
656.607
51
1689 04
3285.00
844.553
1642.50
563.072
1095.00422.343
821.250
337.912
657.000
53
1689.96
3286.67
845.011
1643.33 563.378
1095.56422.572
821.667
338.095
657.333
53
1690.85
3288.33
845.455
1644.17563.674
1096.lli422.794
822.083
338.273
657.667
54
1691.74
3290.00
845.899
1645.00 563.970 1096.67:423.016
822.500
338.451
658.000
55
1692 65
3291.67
846.358
1645.83 564.276 1097.22 423.245
822.917
338.634
658.333
56
1693.57
3293.33
846.816
1 646 . 67 564 . 58 1 1 1 097 . 78 423 . 475
823.333
338.817
658.667
57
1694.49
3295.00
847.274
1647.50 564.887 1098.33 423.704
823.750
339.001
659.000
58
1695.40
3296.67
847.733
1648.33 565. 193 1 1098. 89 423.933
824.167
339.184
659.333
59
1696.29
3298.33
848.177
1649.17 565.48911099.44 424.155
824 583
339.362
659.667
110
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
32°
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
273.952
533.333
234.854
457.143
205.537
400.000
182.737
355.556
10 4. 506 320.0i()
~o~
274.100
533.611
234.981
457.381
205.648
400.208
182.836
355.741
164.594320.167
1
274.218
533.889
235.108
457.619
205.759
400.417
182.935
355.926
164.683320.333
2
274.401
534.167
235.239
457.857
205.874
400.625
183.037
356.111
164.775320.500
3
274.554
534.444
235.3701458.095
205.988
400.833
183.139
356.296
164.867
320.067
4
274.702
534.722
235.497
458.333
206.099
401.042
183.237
356.481
164.956
320.833
5
274.850
535.001)
235.624
458.571
206.210
401.250
183.336
356.667
165.045
321.000
6
274.998
535.278
235.751
458.810
206.321
401.458
183.435
356.852
165.134
321 . 107
7
275.147
535.55(5
235.878
459.048
206.433
401.667
183.534
357.037
105.223
321.333
8
275.299
535.833
236.009
459.286
206.547
401.875
183.636
357.222
165.314
321.500
9
275.452
536.111
236.140
459.524
206.662
402. 083
183.738
357.407
165.406
321.667
10
275.605
536.389
236.271
459.762
206.777
402.292
183.840
357.593
165.498
321.833
11
275.758
536.667
236 402
460.000
206.891
402.500
183.942
357.778
165.590
322.000
12
275.906
536.944
236.529
460.238
207.002
402.708
184.040
357.963
165.679
322.167
13
276.054
5*7.222
236.656
460.476
207.114
402.917
184.139
358.148
165.768
322.333
14
276.207
537.500
236.787
460.714
207.228
403.125
184.241
358.333
165.859
322.500
15
276.360
537.778
236.918
460.952
207.343
403.333
184.343
358.519
165.951
322.667
16
276.508
538.056
237.045
461.190
207.454
403.542
184.442
358.704
166.040
322.833
17
276.656
538.333
237.172
461.429
207.565
403.750
184.541
358.889
166.129
323.000
18
276.809
538.611
237.303
461.667
207.680
403.958
184.643
359.074
166.221
323.167
19
276.962
538.889
237.434
461.905
207.794
404.167
184.745
359.259
166.313
323.333
2O
277.110
539.167
237.561
462.143
207.906
404.375
184.843
359.444
166.402
323.500
21
277 258
539.444
237.688
462.381
208.017
404.583
184.942
359.630
166.491
323.667
22
277.411
539.722
237.819
41)2.01!)
208.131
404.792
185.044
359.815
166.582
323.833
23
277.564
540.000
237.950
462.857
208.246
405 .DOO
185.146
360.000
166.674
324.000
24
277.712
540.278
238.077
463.095
208.357
405.208
185.245
360.185
166.763
321.167
25
277.860
540.556
238.204
463.333
208.468
405.417
185.344
300.370
166.852
324.333
26
27'8.013
540. 833
238.335
463.571
208.583
405.625
185.446
360.556
166.944
324.500
27
278.165
541.111
238.466
463.810
208.698
405.833
185.547
360.741
167.036
324.667
28
278.314
541.389
238.593
464.048
208.809
406.042
185.646
360.926
167.124
324.833
29
278.462
541.667
238 720
464.286
208.920
406.250
185.745
361.111
167.213
325.000
30
278.615
541.944
238.851
464.524
209.025
406.458
185.847
361.296
167.305
325.167
31
278.767
542.222
238.98^
464.762
209.149
406.667
185 949
361.481
167.397
325.333
32
278.915
542.500
239.109
465.000
209.260
406.875
186.048
361.667
167.486
325.500
33
279.064
542.778
239.236
465.238
209.371
407.083
186.147
361.852
167.575
325.667
34
279.216
543.056
239.367
465.476
209.486
407.292
186.248
362.037
167.667
325.833
35
279.369
543.333
239.498
465.714
209.601
407.500
186.350
362.222
167.758
326.000
36
279.522
543.611
239 629
465.952
209.715
407.708
186. 4521362. 407
167.850
326.167
37
27'9.675
543.889
239.760
466.190
209.830
407.917
186.554
362.593
167.942
326.333
38
279.823
544.167
239.887
466.429
209.941
408.125
186.653
362.778
168.031
326.500
39
279.971
544.444
240.014
466.667
210.052
408.333
186.752
362.963
168.120
326.667
4O
2H0.124
544.722
240.145
466.905
210.167
408.542
186.854
363.148
168.212
326.833
41
280,277
545.000
240.276
467.143
210.282
408.750
186.956
363.333
168.303
327.000
42
280. 425 '545. 278
240.403
467.381
210.39:J,
408.958
187.055
363.519
168.392
327.167
43
280. 57 3 '545. 550
240.530
467.619
210.504
409.167
187.153
363.704
168.481
327.333
44
280.726515.8*3
240.661
467.857
210.619
409.375
187.255
363.889
168.573
327.500
45
280.879
546.111
240.792
468.095
210.733
409.583
187.&57
364.074
168.665
327.667
46
281.032
546.389
240.923
468.333
210.848
409.792
187.459
364.259
168.757
327.833
47
281.184
546.66;
241.054
4(58.571
210 063
410.000
187.561
364.444
168.848
328.000
48
281.333
546.944
241.181
468.810
211 074
410.20,^
187.660
364.630
168.937
328.167
49
281.481
547.222
241.308
469 048
211.185
410.417
187.759
364.815
169.026
328.333
5O
281.633
547.500
241.430
4U9.286
211.300
410.625
187.861
365.000
169.118
328.500
51
281.786
547.778
241.570
469.524
211.414
410.833
187.963
365.185
169.210
328.667
52
281.934
548.056
241.697
469.762
211.525
411.042
188.062365.370
169.299
328.833
53
282.082
548.333
241.824
470.000
211.636
411.250
188.160
365.556
169.388
329.000
54
282.235
548.611
241.955
47'0.238
211.751
411.458
188.262
365.741
169.479
329.167
55
£82.388
548.889
242.086470.476
211.806
411.667
188.364
365.926
169.571
329.333
56
282.541
549.167
242.217470.714
211.980
411.875
188.466
366.111
169.663
329.500
57
282.694
549.444
242.348470.952
212.095
412.083
188.568
366.296
169.755
329.667
58
282.842
549.722
242.475471.190
212.206
412.292
188.667
366.481
169.844
329.833
59
111
TABLE XIV.— ACTUAL TANGENTS, ETC.
33
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~O~
1697.16
3300.00
848.62
1650. OC
565.785
1100.00
424.377
825.00<
339.540
660.000
1
1698.10
3301.67
849.079
1650.82
566.090
1100.56
424.606
825.417
339.723
660.333
2
1699.01
3303.33
849.538
1651.6?
566.396
1101.11
424.836
825.833
339.906
660.667
3
1699.93
3305.00
849.996
1652.50
566.702
1101.67
425.065
826.250
340.090
661.00D
4
1700.85
3306.67
850.454
1653.33
567.007
1102.22
425.294
826.667
340.273
661.333
5
1701.73
3308.33
850.899
1654.17
567.303
1102.78
425.516
827.08?
340.451
661.667
6
1702.62
3310.00
851.343
1655.00
567.599
1103.33
425.738
827.500
340.629
662.000
7
1703.54
3311.67
851.801
1655.83
567.905
1103.89
425.967
827.917
340.812
662.333
8
1704.46
3313.33
852.259
1656.67
568.211
1104.44
426.197
828.333
340.995
662.067
9
1705.37
3315.00
852.718
1657.50
568.516
1105.00
426.426
828.750
341.179
663.000
10
1706.29
3316.67
853.176
1658.33
568.822
1105.56
426.655
829.167
341.362
663.333
11
1707.18
3318.33
853 620
1659.17
569.118
1106.11
426.877
829.583
341.540
663.667
12
1708.0?
3320.00
854.064
1660.00
569.414
1106.67
427.099
830.000
341.718664.000
13
1708.98
3321.67
854.523
1660.83
569.720
1107.22
427.328
830.417
341.901 664.333
14
1709.90
3323.33
854.981
1661.67
570 025
1107.78
427.558
830.833
342.084664.667
15
1710.82
3325.00
855.439
1662.50
570.331
1108.33
427 787
831.250
342.268 665.000
1(>
1711.73
3326.67
855.898
1663.33
570.636
1108.89
428.' 01 6
831.667
342. 451 '665. 333
17
1712.62
3328.33
856.342
1664.17
570.932
1109.44
428.238
832.083
342.629'665.667
18
19
1713.51
1714.43
3330.00
3331.67
856.786
857.244
1665.00
1665.83
571.229
571.534
1110.00
1110.56
428.460
428.690
832.500
832.917
342.806
342.990
666.000
666.333
30
1715.34
3333.33
857.703
1666.67
571.840
1111.11
428.919
833.333
343.173
666.667
31
1716.26
3335.00
858.161
1667.50
572.145
1111.67
429.148
833.750
343 357667.000
22
1717.18
3336.67
858.620
1668.33
572.451
1112.22
429.377
834.167
343.540667.333
23
24
1718.06
1718.95
3338.33
3340.00
859.064
859.508
1669.17
1670.00
572.747
573.043
1112.78
1113.33
429.599
429.821
834.583
835.000
343.718607.667
343.895668.000
25
1719.87
3341.67
859.966
1670.83
573.349
1113.89
430.051
835.417
344.079668.333
3(>
1720.79
3343. 33
860.424
1671.67
573.654
1114.44
430.280
835.833
344.262
668.667
27
721.70
3345.00
860.883
1672.50
573.960
1115.00
430.509
836.250
344.446
669.000
38
722.62
3346.67
861.341
1673.33
574.266
1115.56
430.788
836 667
314.629
669.333
29
723.54
3348.33
861.800
1674.17
574.571
1116.11
430.967
837.083
344.812
669.667
30
724.45
3350.00
862.258
1675.00
574.877
1116.67
431.197
837.500
344.996
670.000
31
725.34
3351.67
862.702
1675.83
575.173
1117.22
431.419
837.917
345.174
670.333
32
726.23
3353.33
863.146
1676.67
575.469
1117.78
431.641
838.333
345.351
67'0.667
33
7*7.15
3355.00
863.604
1677.50
575.775
1118.33
431.870
838.750
345.535
671.000
34
728.06
3356.67
364.063
678.33
576.080
1118.89
432.099
839.167
345.718
671.333
35
728.98
3358.33
864.521
679.17
576.386
1119.44
432.329
839.583
345.901
671.667
36
729.90
3360.00
864.980
1680.00
576.691
1120.00
432.558
840.000
346.085
672.000
37
730.81
3331.67
865.438
680.83
576.997
1120.56
432.787
840.417
346.268
672.333
38
731.73
3i)3.33
865.896
1681.67
577.303
.121.11
433.016
810.833
34(5.452
072.667
39
732.62
365.00
866.341
1682.50
577.599
1121.67
433.238
841.250
346.629
673.000
4O
733.51
366.67
66.785
683.33
577.895
1122.22
433.460
841.667
340.807
673.333
41
731.42
368.331867.243
1684.17
578.200
1122.78
33.090
S42.083
346.990
673.667
43
735.34
370.00867.701
1685.00
578.506
1123.33
433.919
842.500
347.174
674.000
43
736. 26
371 67868.160
685.83578.812
1123.89
34.148
812.917
347.357
074.333
44
737.17
3373.33
363.618
686.67
579.117
1124.44
34.377
843.333
347.541
674.667
45
733.09
3375.00
869.077
687.50
579.423
1125.00
434.607
843.750
347.724
075.000
4 a
739.01
3376.67
809.535
688.33
579.728
1125.56
34.83(5
844.167
347.907
675.333
47
739.89
3378.33
869.979
689.17
580.024
126.11
435.058
844.583
348.085
075.607
48
740.78
3380.00
870.423
690.00
580.321
1126.67
35.280
845.000
348.2(53
676.000
49
741.70
3331.67
870.881
690.83
580.626
1127.22
435.509
845.417
343.446
676.333
50
7'42.62
33S3.33
871.340
691.67
580.932
1127.78
35.738
845.833
348.630
676.667
51
743.53
3385 00
87 1.798
692.50581.2371128.33
35.968
846.250
348.813
677.000
53
7'4 4. 45 3386. 67
872.257
693.33581.543 1128.89
36.197
846.667
348.996
677.333
53
745. 37| 3388. 33
872.715
694.17
581.8491129.44
36.426
847.083
349.180
677.607
54
740.23 3390.00 873.173 1695.00
582.1541130.00
36.655
847 500
349.3(53
078.000
55
747 . 1 7 3301 . 67 : 873 .617 1695 . 83 582 . 450 1 130 . 56
36.877
847.917
349.541
678.333
5(J
748 . 06 3393 . 33 874 . 06 1 1 696 . 67 582 . 746 11 31 . 1 1
37.099
818.333
349.719
678.607
57
748 . 98 3395 . 00 874 . 520 1 697 . 50 583 . 052 1 1 3 1 . 67
37 329
848.750
319.902
679.000
58
749.8!) 3390.67 874.978 1698.33 583.358 1132.22
37.55S
849.167
350.085 679.333
59
750.81 3398.33 875.437 1699.17 583.663 1132.78
37.787
849.583
350.269679.667
112
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
looo
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
282.990
550.000
242.602
471.429
212.317
412.500
188.766
366.667
169.933
330.000
o
283.143
550.278
242.733
471.667
212.432
412.708
188.868
366.852
170.024
330.167
1
283.296
550.556
242.861
471.905
212.547
412.917
188.970
367.037
170.116
330.333
2
283.449
550.833
242.995
472.143
212.661
413.125
189.072
367.222
170.208
330.500
3
283.602
551.111
243.126
472.381
212.776
413.333
189.174
367.407
170.300
330.667
4
283.750
551.389
243.253
472.619
212.887
413.542
189.272
367.593
170.389
330.833
5
283.898
551.667
243.380
472.857
212.998
413.750
189.371
367.778
170.478
331.000
6
284.051
551.944
243.511
473.095
213.113
413.958
189.473
367.963
170.569
331.167
7
284.203
552.222
243.642
473.333
213.228
414.167
189.575
368.148
170. 661 1331.333
8
284.356
553 r 500
243.773
473.571
213.342
414.375
189.677
368.333
170.753
331.500
9
284.509
552.778
243.904
473.810
213.457
414.583
189.779
368.519
170.845
331.667
10
284.657
553.056
244.031
474.048
213.568
414.792
189.878
368.704
170.934
331.833
11
284.805
553.333
244.158
474.286
213.679
415.000
189.977
368.889
171.023
332.000 12
284.958
553.611
244.289
474.524
213.794
415.208
190.078
369.074
171.114
332.167
13
285.111
553.889
244.420
474.762
213.909
415.417
190.180
369.259
171.206
332.333
14
285.264
554.167
244.551
475.000
214.023
415.625
190.282
369.444
171.298
332.500
15
285.417
554.444
244.682
475.238
214.138
415.833
190.384
369.630
171.390
332.667
16
285.565
554.722
244.809
475.476
214.249
416.042
190.483
369.815
171.479
332.833
17
285.713
555.000
244.936
475.714
214.360
416.250
190.582
370.000
171.568
333.000
18
285.866
555.278
245.067
475.952
214.475
416.458
190.684
370.185
171.659
333.167
19
286.019
555.556
245.198
476.190
214.590
416.667
190.786
370.370
171.751
333.333
2O
286.171
555.833
245.329
476.429
214.704
416.875
190.888
370.556
171.843
333.500
21
286.324
556.111
245.460
476.667
214.819
417.083
190.990
370.741
171.935
333.667
22
286.472556.389
245.587
476.905
214.930
417.292
191.089
370.926
172.024
333.833
23
286.621 556.667
245.714
477.143
215.041
417.500
191.187
371.111
172.113
334.000
24
286.773556.944
245.845
477.381
215.156
417.708
191.289
371.296
172.204
334.167
25
286. 92(5 i 557. 222
245.976
477. 61 !)
215.270
417.917
191.391
371.481
172.296
334.333
26
287.079
557.500
246.107
477.857
215.385
418.125
191.493
371.667
172.388
334.500
27
287.232
557.778
246.238
478.095
215.500
418.333
191.595
371.852
172.480
334.667
28
287.385
558.056
246.369
478.333
215.615
418.542
191. C97
372.037
172.572
334.833
29
287.538
558.333
246.500
478.571
215.729
418.750
91.799
372.222
172.663
335.000
30
287.686
558.611
246.627
478.810
215.840
418.958
191.898
372.407
172.752
335.167
31
287.834
558.889
246.754
479.048
215.951
419.167
191.997
372.593
172.841
335.333
32
287.987
559.167
246.885
479.286
216.066
419.375
192.099
372.778
172.933
335.500
33
288.140
559.444
247.016
479 524
216.181
419.583
192.201
372.963
173.025
335 667
34
288.292
559.722
247.147
479.762
216.295
419.792
192.303
373.148
173.117
335 833
35
288.445
560.000
247.278
480.000
216.410
420.000
192.405
373-. 333
173.208
836.000
36
288.598
560.278
247.410
480.238
216.525
420.208
192.506
373 51!)
173.300
336.167
37
288.751
560 556
247.541
480.476
216.640
420.417
192.608
373.704
173.392
336.333
38
288.899
560.833
247.668
480.714
216.751
420.625
192.707
373.889
173.481
336.500
39
289.047
561.111
247.794
480.952
216.862
420.833
192.806
374.074
173.570
336.667
4O
289.200
561.389
247.925
481.190
216.976
421.042
192.908
374.259
173.662
336 . 833
41
289.353
561.667
248.057
481.429
217. C91
421.250
193.010
374.444
173.753
337.000
42
289.506
561.944
248.188
481.667
217.206
421.458
193.112
374.630
173.845
337.167
43
289.659
562.222
248.319
481.905
217.320
421.667
193.214
374.815
173.937
337.333
44
289.811
562.500
248.450
482.143
217.435
421.875
193.316
375.000
174.029
337.500
45
289.964
562.778
248.581
482.381
217.550
422.083
193.418
375.185
174.121
337.667
46
290.1121563.056
248.708
482.619
217.661
422.292
193.517
375.370
174.210
337.833
47
290.260563.333
248.835
482.857
217.772
422.500
193.615
375.556
174.298
338.000
48
290.413
563.611
248.966
483.095
217.887
422.708
193.717
375.741
174.390
338.167
49
290.566
563.889
249.097
4a^.333
218.001
422.917
193.819
375.926
174.482
338.333
5O
290.719
564.167
249.228
483.571
218.116
423.125
193.921
376.111
174.574
338.500
51
290.872
564.444
249.359
483.810
218.231
423. 3a3
194.023
376.296
174.666
338.667
52
291.025
564.722
249.490
484.048
218.345
423.542
194.125
376.481
: 74 . 757
338.833
53
291.178
565.000
249.621
484.286
218.460
423.750
194.227
376.667
174.849
339 000 54
291.326
565.278
249.748
484.524
218.571
423.958
194.326
376.852
174.938
339.167 55
291.474
565.556
249.875
484.762
218.682
424.167
194.425
377.037
175.027
339.333 50
291.627
565.833
250.006
485.000
218.797
424.375
194.527377.222
175.119
339.500
57
291.780
566.111
250.137
485.238
218. P12
424.583
194.629377.407
175.211
339.667
58
291.932
566.389250.268
485.476
219.026424.792
194.7311377.593
175.302
339. B33 59
113
TABLE XIV. — ACTUAL TANGENTS, ETC.
34°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
1751.73
3400.00
875.895
1700.00
583.909
1133.33
488.016
850.000
350.452
080.000
1
1752.64
3401.67
876 353
1700.83
584.274
1138.80
43S.246
850.417
350.636
680.333
2
1753.56
3403 33
876.812
1701.67
584.58d
1134.44
438.475
850.833
350.819
080.607
3
1754.48
3405.00
877.270
1702.50
584.886
1135.00
438.704
851.250
351.002
681.000
4
1755.39
3406.67
877.729
1703.33
585.191
1135.56
438.933
851.667
351.186
681.333
5
1756.31
3408.33
878.187
1704.17
585.497
1136.11
439.102
852.083
351.369
081.007
6
1757.23
3410.00
878.645
1705.00
585.802
1136.67
439.392
852.500
351.553
682.000
7
1758.11
3411.67
879.089
1705.83
586.093
1137.22
439.014
852.917
351.730
682.333
8
1759.00
3413.33
879.534
1706.67
5SO . 805
1137.78
489.830
853.333
351.908
082 007
9
1759.92
3415.00
879.992
1707 50
586.700
1138.33
440.005
853.750
352.091
683.000
10
1760.84
3416 67
880.450
1708.33
587.006
1138.89
440.294
854.167
352.275
683.333
11
1761.75
3418.33
880.909
1709.17
587.311
1139.44
440.524
854.583
352.458
683.667
12
1762.67
3420.00
881.367
1710.00
587.617
1140.00
440.753855.000
352.642
684.000
13
1763.59
3421.67
881.825
1710.83
587.923
1140.56
440 982
855.417
352.825
684. 333
14
1764.50
3423.33
882.284
1711.67
588.228
1141.11
441.211
855.833
353.008
684.667
15
1765.42
3425.00
882.742
1712.50
588.534
1141.67
441.440
856.250
353.192
685.000
16
1766.34
3426.67
883. 20l! 1713. 33
588.839
1142.22
441.670856.667
353.375
685. 333
17
1767.25
3428.33
883.659J1714.17
589.145
1142.78
441.899857.086
353 559
685.667
18
1768.17
3430.00
884.117 1715 00
589.451
1143.33
442.1-8
857.500
353.742
686.000
19
1769.06
3431.67
884.561
1715.83
589.747
1143.89
442.350
857.917
353.920
686.333
30
1769.95
3433.33
885.006
1716.67
590.043
1144.44
442.572
858.333
354.097
686.667
31
1770.86
3435.00
885.464
1717.50
590.348
1145.00
442.801
858.750
854.281
687.000
22
1771.78
3436.67
885.922
1718.33
590.654
1145.56
443.03!
859.167
354.464
687.333
23
1772.70
3438.33
886.381
1719.17
590.960
1146.11
443.260
859.583
354.648
687.667
34
1773.61
3440.00
886.839
1720.00
591.265
1146.67
443.489860.000
354.831
688.000
35
1774.53
3441.67
887.297
1720.88
591 571
1147.22
443.718
860.417
355.014
688.333
36
1775.45
3443.33
887.756
1721.67
591.870
1147.78
443.948860.833
355.198
688.667
37
1776.36
3445.00
888.214
1722.50
592.182
1148.33
444.177
861 250
355.381
689.000
38
1777.28
3446.67
888.673
1723.83
592.488
1148.89
444.406
861.607
355. 565 1689.383
39
1778.20
3448.33
889.131
1724.17
592.793
1149.44
444.635
862.083
355.748
689.667
30
1779.11
3450.00
889.589
1725.00
593.099
1150.00
444.865
862.500
355.931 690.000
31
1780.03
3451.67
890.048
1725.83
593.405
1150.56
445.094 862.917
350.115690.333
33
1780.95
3453.33
890 500
1726.67
593.710
1151.11
445.323
803.333
356.298 690.667
33
1781.86
3455.00
890.965
1727.50
594.016
1151.67
445.552
803.750
356.482691.000
34
1782.78
3456.67
891.423
1728.33
594.321
1152.22
445.781
804.167
356.605091.333
35
1783.70
3458.33
891.881
1729.17
594.627
1152.78
446.011
864.583
356.848601.667
36
1784.61
3460.00
892.340
1730.00
594.933
1153.33
446.240865.000
357.032692.000
37
1785.50
3461.67
892.784
1730.83
595.220
1153.89
416.462
865.417
357.210092.333
38
1786.39
3463.33
893.228
1731.67
595.525
1154.44
446.684 865.833
357.387692.667
39
1787.31
3465.00
893.686
1732.50
595.830
1155.00
446.913866.250
357.571 693.000
40
1788.22
3466.67
894.145
1733.33
596.136
1155.56
447.143866.667
357.754003.333
41
1789.14
3468.33
894.603
1734.17
596.442
1156.11
447.372867.083
357.937693.667
43
1790.06
3470.00
895.061
1735.00
596.747
1156.67
447.601
867.500
35S.121 694.000
43
1790.97
3471.67
895.520
1735.83
597.053
1157.22
447.830807.917
358 304 004.333
44
1791.89
3473.33
895.978
1736.67
597.358
1157.78
448.059
80S. 333
358.488694.607
45
1792.81
3475.00
896.437
1737.50
597.664
1158.33
448.289
808.750
358.071 095.000
46
1793.72
3476.67
896.895
1738.33
597.970
1158.89
448.518809.167
358.854095.333
47
1794.64
3478.33
897.353
1739.17
598.275
1159.44
448.747
809.583
350.038 695.607
48
1795.56
3480.00
897.812
1740.00
598.581
1160.00
448.976870.000
350.2211696.000
49
1796.47
3481.67
898.270
1740.83
598.880
1160.56
449.206870.417
359.405696.333
5O
1797.39
3483.33
898.729
1741 67
599.192
1161.11
449.435 870.833
359. 5F8 696. 667
51
1798.31
3485.00
899.187
1742.50
599.498
1101.07
449.664
871.250
359.771 697 000
53
1799.22
3486 67
899.645
1743.33
599.803
1102.22
449.893871.667
359.955
097.383
53
1800.14
3488.33
900.104
1744.17
600.109
1102.78
450.123
872.083
360.138697.067
54
1801.06
3490.00
900.562
1745.00
600.415
1103.33
450.352
872.500
360.322698.000
55
1801.97
3491.67
901.0201745.83
000.720
1163.89
450.581
872.917
360. 505 1 698. 333
56
1802.89
3493. 33 1901. 479 1746.67
601.026
1164.44
450.810
873.333
360.688698.667
57
1803.81
3495.00 901 .937 1747.50 601 .331
1165.00
451.039873.750
360. 872| 009 000
58
1804.73
3496.67
902. 396 1748. 33! 00 1.637
1165.56
451.269
874.167
361.055609.333
59
1805.61
3498.33
902. 854; 1749. 17 1601.943
1166.11
451 . 498 874 . 583 36 1 . 239 \ 699 . 607
114
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
34°
Tan.
Arc.
566^667
Tan.
250.399
Arc.
485.714
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
~7T
292.085
219.141425.000
194.833
377.778
175.394
340.000
292.238
566.944
250.530
485.952
219.256425.208
194.934
377.963
175.486
340.167
i
292.391
567.222
250.661
486 190
219.370
425.417
195.036
378.148
175.578
340.333
2
292.544
567.500
250.792
486.429
219.485
425.625
195.138
378.333
175.670
340.500
3
292.697
567.778
250.923
486.667
219.600
425.833
195.240
378.519
175.761
340.667
4
292.850
568.056
251.054
486.905
219.715
426.042
195.342
378.704
175.853
340 833
5
293.002
568.333
251.185
487.143
2 19. 829 1426.250
195.444
378.889
175.945
341.000
6
293.150
568.611
251.312
487.381
219.940
426.458
195.543
379.074
176.034
341.167
7
293.299
568.889
251.439
487.619
•>20.051
426.667
195.642
379.259
176.123
341.333
8
293.451
569.167
251.570
487.857
220.166
426.875
195.744
379.444
176.215
341.500
9
293.604
569.444
251.701
488.095
220.281
427.083
195.846
379 630
176.306
341.667
10
293 . 757
569.722
251.832488.333
220.395
427.292
195.948
379.815
176 398
341.833
11
293 910! 570. 000
251.9(53488.571
220 510
427.500
196.050
380.000
176.490
342.000
12
294.063570.278
252.094488.810
220.625
427.708
196.152
380 185
176.582
342.167
13
294.216
570.556
252.225489.048
220.740
427.917
196.254
380 370
176.674
342.333
14
294.369
570.833
252.356489.286
220.854
428 125
196 356
380.556
17'6.765
342.500
15
294.521
571.111
252.487489.524
220 969
428.333
196.458
380.741
176 857
34-.'. 667
16
294.674
571.3*9
252.618:489.762
221.084
428.542
196.560
380.926
176.949
342.833
17
294.827
571.667
252.7501490.000
221.198
428.750
196.661
381.111
177.041
343.000
18
294.975
571.944
252.876
490.238
221.309
428 958
196.760
381.296
177.130
343.167
19
295.123
572.222
253.003
490.476
221.4-20
429.167
196.859
381.481
177.219
343.333
2O
295.276
572.500
253.134
490.714
221.535
429 375
196.961
3S1 667
177.310
343.500
21
295.429
572.778
253 268
490.952
221.650
429.583
197.063
381.852
177.402
343.667
22
295.582
573.056
253.397
491.190
221.765
429.792
197.165
382.037
177.494
343.833
23
295.735
573 333
253.528
491 .429
221.879
430.000
197 267
382.222
177.586
344.000
24:
295 888
573.611
253.659
491.667
221.994
430.208
197.369
382.407
177.677
344.167
25
296.040
573.889
253.790
491.905
222.109
430.417
197.471
382.593
177.769
344.333
26
296.193
574.167
253.921
492.143
222.223
430.625
197.573
382.778
177.861
344.500
21
296.346
574.444
254.052
492.381
222.338
430.833
197.675
382.963
177.953
344.667
28
296.499
574.722
254.183
492.619
222.453
431.042
197.777
383.148
178 045
344.833
29
296.652
575.000
254.314
492.857
222.567
431.250
197.879
383.333
178.136
345 000
30
296.805
575.278
254.445
493.095
2-22.682
431.458
197.981
383.519
178.228
345.167
31
296.958
575.556
254.576
493.333
222.797
431.667
198 083
383.704
178.320
345.333
32
297.110
575.833
254.707
493.571
222.911
431.875
198.185
383.889
178.412
345.500
33
297.263
576.111
254.838
493.810
223.026
432 083
198.287
384.074
178.504
345.667
34
297.416
576.389
254.969
494.048
223.141
432.292
198.388
3S4.259
178.595
345.833
35
297.569
576.667
255.100
494.280
223.255
432.500
198.490
384 . 444
178.687
346.000
36
297.717
576.944
255.227
494.524
223.367
432.7'08
198.589
384.630
178.776
346.167
37
297.865
577.22v
255.354
494.762
223.478
432.917
198.688
384.815
178.865
346.333
38
298.018
577.500
255.485
495.000
223.592
433.125
198.790
385.000
178.957
346.500
39
298.171
577.778
255.616
495.238
223.707
433.333
198.892
385.185
179.049
346.667
40
298.324
578.0.56
255.747
495.476
223.822
433.542
198.994
385.370
179.140
346.833
41
298.477
578.333
255.878
495.714
223 936
433.750
199.096
385.556
179.232
347.000
4:2
298.630
578.611
256.009
495.952
224.051
433 958
199.198
385.741
179.324
347.167
43
2U8. 7S2
578.889
256.140
496.190
224.166
434.167
199.300
385.926
179.416
347.333
44
298.935
579.167
256.271
496.429
224.280434.375
199.402
386.111
179.508
347.500
45
299 088
579.444
256.402
496 667
224.395434.583
199.504
386.296
179.599
347.667
46
299 241
579.722
256.533
496.905
224.510434.792
199.606
386.481
179.691
347.833
47
299 394 580.000
256.664
497.143
224.624:435.000
199.7'08
386.667
179.783
348.000
48
299.547
580.278
256 . 795
497.381
224.739435.208
199.810
386.852
179.875
348.167
49
299.700
580.556
256.927
497.619
224.854
435.417
199.912
387.037
179.967
348.333
5O
299.852580.833
257.058
497.857
'224.969
435.625
200.014
387.222
180.058 348 500
51
300 005
581.111
257.189
498.095
225.083
435.833
200.115
387.407
180.150348.667
52
300.158
581.389
257.320
498.333
225. 198 1436. 042
200.217
387.593
180.242348.833
53
300.311
581.667
257.451
498.571
225 313436.250
200.319
387.778
180.334349.000
54
300. 464 1581.944
257.582
498.810
225.427436.458
200.421
387.963
180.425 349 167
55
300.617
582.222
257.713
499.048
225.542436.667
200.523
388.148
180.517349.333
56
300.770
582.500
257.844
499.286
225.657436.875
200.625
388.333
180.609349.500
57
300.922582.778
257.975
499.524
225.771437.083
200.727
388.519
180.701 349.667
58
301. 075 1583.056
258.106
499.762
225.886437.292
200.829
388.704
180.793349.833
59
115
TABLE XIV. — ACTUAL TANGENTS, ETC.
35°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
3500.00
Tan.
903.312
Arc.
1750.00
Tan.
602 248
Arc.
1166. 67
Tan.
Arc.
Tan.
Arc.
0
1806.56
451.727
875.000
861.422
700.000
1
1807.48
3501.67
903.771
1750.83
602.554
1167.22
451.956
875.417
361.605
700.333
2
1808.3'.)
3503.33
904.229
1751.67
602.859
1167.78
452.186
875.833
361.789
700.607
3
1809.31
3505.00
904.688
1752.50
603.165
1108.3:3
452 415
876.250
361.972
701.000
4
1810.23
3506.67
905.146
1753.33
003.471
1168.89
452.644
876.667
362.156
701.333
5
1811.14
3508.33
905.604
1754.17
603.776
1169 44
452.873
877.083
362.339
701.007
6
1812.06
'3510.00
906.063
1755.00
604.082
1170.00
453.103
877.500
362.523
702.000
7
1810.98
•3511.67
906.521
1755.83
604.388
1170.56
453.332
877.917
302.700
702.333
8
1813.89
8513.88
906.980
1756.67
604.693
1171.11
453.561
878.333
302.889 702. G07
9
1814.81
3515.00
907.438
1757.50
604.999
1171.67
453.790
8?'8.750
363.073
703.000
1O
1815.7:5
3516.67
907.896
1758.33
605 304
1172.22
454 019
879.167
363 250
703 333
11
1816.64
3518 33
908.355
1759.17
605.610
1172 78
454 249
879. 583 1363. 440
703 667
13
1817.56
3520.00
908.813
1760.00
605.916
1173.33
454.478
880. 000i363. 623
704.000
13
1818.48
3521.67
909.271
1760.83
606.221
1173.81)
454.707
880.417363.806
704.333
14
1819.39
:3523.33
909.730
1761.67
606 527
1174.44
454 936
880. 833 i 363. 990
704.667
15
1820.31
3525.00
910.188
1762.50
606.832
1175.00
455.100
881.250364.173
705.000
16
1821.23
3526.67
910.647
1763.33
607.138
1175.56455.395
881.667
364.357
705.333
17
1822.14
3528.33
911.105
1764.17
607.444
1176.11
455.624
882 083
364.540
705.667
18
19
1823.06
1823.98
3530.00
3531.6?
911.563
912 022
1765.00
1765.83
607.749
608.055
1176 67
1177.22
455.853
456.083
H82.500
882.917
364.723
364.907
706.000
706.333
20
1821.89
3533 33
912.480
1766.67
608.360
1177.78
456.312
883.333
365 090
706.667
21
1825.81
3535.00
912.939
1767.50
008. 606
1178.33
456.541
883.750
365.274
707.000
22
1826.73
3536.6?
913.397
1768.33
608.972
1178.89
456.7?'0
884.167
365.457
707.333
23
1827.64
3538.33
913.855
1769.17
609.277
1179.44
456.999
884.583
305.640
707.667
34
1828.56
3540.00
914.314
1770.00
609.583
1180.00
457.229
885.000365.824
708.000
25
1829.48
3541.67
914.772
1770.83
009.889
1180.56
457.458
885.417366.007
708.333
26
1830.39
3543.33
915.231
1771.67
610.194
1181.11
457.687
885.833300.191
708.007
21
1831.31
3545.00
915.689
1772.50
610.500
1181.67
457.916
886.250306.374
709.000
28
1832.23
3546.67
916.147
1773.33
610.805
1182.22
458.146
886.00? 306.557
709.333
39
1833.14
3548.33
916.606
1774.17
611.111
1182.78
458.375
887.083300.741
709.667
30
1834.06
3550.00
917.064
1775.00
611.417
1183.33
458.604
887.500366.924
710.000
31
183 L 98
3551.67
917.522
1775.83
611.722
1183.89
458.833
887.917307.108
710.333
32
1835.89
3553.33
917.981
1776.67
612.028
1184.44
459.063
888.333367.291
710.667
33
1836.81
3555.00
918.439
1777.50
612.333
1185.00
459.292
888.750367.4?'4
711.000
34
1837.73
.'5556.67
918 898
1778.33
012.639
1185.56
459.521
889. 167 1367.658
711.333
35
1838.64
3558.33
919.356
1779.17
612.945
1186.11
459.750
889.583 367.841
711.667
36
1839.56
3560.00
919.814
1780.00
613.250
1186 67
459.979
890. 000 '308. 025
712.000
37
18-10.51
3561.67
920.287
1780.83
613.565
1187.22
460.216
890.417308.214
712.333
38
1841.45
3563.33
920.760
1781.67
013.881
1187.78
460.452
890.833 308.403
712.667
39
1842.37
3565.00
921.218
1782.50
014.180
1188.33
400.681
891.250368.586
713.000
4O
1843.29
3566.67
921.677
1783.33
614.492
1188.89
460.911
891.667308.770
713.333
41
1844.20
3568 33
1)22.135
1784.17
614.797
1189.44
401.140
892.083308.953
713.607
43
1845.12
3570.00
922.593
1785.00
615.103
1190.00
461.369
892.500369.137
714.000
43
1846.04
3571.67
1)23.052
1785.83
015.409
1190.56
461.598
892.917309.320
714.333
44
1846.95
3573.33
9-23.510
i?'86.67
615.711
1191.11
401.828
893.333309.503
714.607
45
1847.8?'
3575.00
923 969
1787.50
616.020
1191.67
462.057
893.750309.087
715.000
46
1848.79
3576.67
924.427
1788 33
616.326
1193.22
462.280
894.107309.870
7l5.3:-;3
47
1849.70
3578.33
924.885
1789.17
610.631
1192.78
402.515
894.583370.054
715.607.
48
1850.62
3580.00
925.344
1790.00
016.93?
1193.33
402.745
895.000370.237
716.000
49
1851.54
3581 . 07
925.802
1?90.S3
617.242
1193.89
462.974
895.417370.420
716.333
50
1852.45
3583.33
926.261
1701.67
017 548
1194.44
463.203
895.833370.604
716 607
51
1853.37
3585.00
926.719
1792.50
617.854
1195.00
403.432
896.250370.787
717.000
53
1854.29
3586.67
927 1? 7
1793.3:3
018.159
1195.56
463.601
896.667370.971
717.333
53
1855.23
3588.33
927.650
1?94 17
618.474
1196.11
463.898
897. 083 3? 1.1 60
717.607
54
1856.18
3590.00
928.123
1795.00618.790
1196 67464.134
897 500371.349
718.000
55
1857.09
3591.67
928.581
1795.83619.095
1197.22464.303
897.917371.532
718.333
56
1858.01
3593.33
9J !9. 040
1796 67
019.401
1197.78464.593
80S. 333 371. 71 6 718.007
57
1858.93
3595.00929.498
1797 50 619 706
1198.334(54.822
898.750371.899:719.000
58
1859.84
3596.67929.956
1798.33620.012
1198.89405.051
899.167372.082:719.333
59
1860.76
3598. 33! 930. 415 1799.17 620.318 1199.44 465.280 899.583 372.266 ?19.6G7
11(3
TABLE XTV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
35°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
301.228
583.333258.237
500.000
226.001
437.500
200.931
388.889
180.884
350.000
o
301.381
583.6111258.368
500.238
226.115437.708
201.033
389.074
180.976
350.167
1
301.534
583.880258.499
500.476
226.2301437.917
201.135
389.259
181.068
350.333
2
301.687
584.1671258.630
500.714
226.345438.125
201.237
389.444
181.160
350.500
3
301.840
584.444! 258 761
500.952
226.459438.333
201.339
389.630
181.252
350.667
4
301.992
584.722258.892
501.190
226.574 438.542
201.441
389.815
181.343
350.833
5
802.145
585.000259.023
501.429
226.689438.750
201.543
390.000
181.435
351.000
6
302.298
585.278259.154
501.667
226. 803 '438. 958
201.645
390.185
181.527
351.167
7
302.451
585.556259.285
501.905
226.918439.167
201.747
390.370
181.619
351 . 333
8
302.604
585. 833-259.416
502.143
227. 033 439.375
201.849
390.556
181,711
351.500
9
302.757
586.111 259.547
502.381
227.148
439.583
201.951
390.741
181.802
351.667
1O
302.910
586.389259.678
502.619
227.262
439.792
202.053
390.926
181.894
351.833
11
303.062
586.667
259.809
502.857
227.377
440.000
202.155
391.111
181.986
352.000
303.215
586.944
259.941
503.095
227.492
440.208
202.257
391.296
182.078
352.167
13
303.368
587.222260.072
503.333
227.606
440.417
202.359
391.481
182.169
352.333
14
303.521
587. 500 1260. 203
503.571
227.721
440.625
202.461
391.667
182.261
352.500
15
303.674
587.778260.334
503.810
227.836
440.833
202.563
391.852
182.353
352.667
16
303.827
588.056:260.465
504.048
227.950
441.042
202.665
392.037
182.445
352.833
17
303.980
588.333260.596
504.286
228.065
441.250
202.767
392.222
182.537
353.000
18
304.132
588.611 260.727
504.524
228.180
441.458
202.868
392.407
182.628
353.167
19
304.285
588.889260.858
504.762
228.294
441.667
202.970
392.593
182.720
353.333
20
304 . 438
589.167260.989
505.000
228.409
441.875
203.072
392.778
182.812
353.500
21
304.591 589.444
261.120
505.238
228.524
442.083
203.174
392.963
182.904
353.667
22
304.744
589.722261.251
505.476
228.638
442.292
203.276
393.148
182.996
353.833
23
304.897
590.000261.382
505.714
228.753
442.500
203.378
393.333
183.087
354.000
24
305.050
590.278261.513
505.952
228 868
442.708
203.480
393.519
183.179
354.167
25
305.202
590. 556 [261.644
506.190
228.982
442.917
203.582
393.704
183.271
354.3133
26
305.355
590. 833; 261. 775
506.429
229.097
443.125
203.684
393.889
183.363
354.500
27
305.508
591.111
261.906
506.667
229.212
443.333
203.786
394.074
183.455
354.667
28
305.661
591.389
262.037
506.905
229.327
443.542
203.888
394.259
183.546
354.833
29
305.814
591.667
262.168
507.143
229.441
443.750
203.990
394.444
183.638
355.000
30
305.967
591.944
262.299
507.381
229.556
443.958
204.092
394.630
i as. 730
355.167
31
306.120
592.222
262.430
507.619
229.671
444.167
204.194
394.815
183.822
355.333
32
306.272
592.500
262.561
507.857
229.785
444.375
204.296
395.000
183.913
355.500
33
306.425
592.778
262.692
508.095
229.900
444.583
204.398
395.185
184.005
355.667
34
306.578
593.056
262.823
508.333
230.015
444.792
204.500
395.370
184.097
355. a33
35
306.731
593.333
262.955
508.571
230.129445.000
204.602
395.556
184.189
356.000
36
306.889
593.611
263.090
508.810
230. 248 ! 445. 208
204.707
395.741
184.284
356.167
37
307.046
593.889
263.225
509.048
230.366445.417
204.812
395.926
184.378
356.333
38
307.199
594.167
263.356
509.286
230.481 445.625
204.914
396.111
184.470
356.500
39
307.352
594.444
263 487
509.524
230.595
445.833
205.016
396.296
184.562
356.667
4O
307.505
594.722263.618
509.762
230.710446.042
205.118
396.481
184.654
356.833
41
307.658
595.000263.749
510.000
230.825446.250
205.220
396.667
184.745
357.000
42
307.811
595.278263.880
510.238
230.939446.458
205.322
396.852
184.837
357.167
43
307.963
595.556264.011
510.476
231.054446.667
205.424
397.037
184.929
357.3^33
44
308.116
595.833264.142
514,714
231.169446.875
205.526
397.222
185.021
357.500
45
308.269
596.111
264.273
510.952
231.283447.083
205.628
397.407
185.113
357.667
46
308.422
596.389
264.404
511.190
231.398447.292
205.730
397.593
185.204
357.833
47
308.575
596 667264.535
511.429
231.513447.500
205.832397.778
185.296
358.000
48
308.728
596.944
264.666
511.667
231.627447.708
205.934
^397.963
185.388
358.167
49
308.881
597.222264.797
511.905
231.742447.917
206.036
308.148
185.480
358.333
50
309.033
597.500264.928
512.143
231.857448.125
206.138
398.333
185.571
358.500
51
309.186
597.778265.059
512.381231.971 448.333
206.240
398.519
185.663
358.667
52
309.344
598 056 265.195 512.619 232.090 448.542
206.345
398.704
ia5 758
358.8:33
53
309.502
598.333265.330512.857
232.208448.750
206.450
398.889
185.853
359.000
54
309.654
598.611 265.461
513.095
232.323 448. 958
206 552
399.074
185.944
359.167
55
309.807
598.889265.59i
513. .333 232 . 437 449 . 1 67
206 654
399.259
186.036
359.333
56
309.960
599.167265.723513.571
232.552449.375
206.756
399.444
186.128
359.500
57
310.113
310.266
599.444 265.854 513.810 232.667 449 583
599.722 265.985 5 14. 048 1232. 781 449.792
206.858399.630
206.960l399.815
186.220
186.312
•359.667
359.833
58
59
117
TABLE XIV. — ACTUAL TANGENTS, ETC.
36°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
1861.68
3600.00
930.873
1800.00
620.623
1200.00
465.510900.000
372 449
720.000
1
1862.59
3601.67
931.331
1800.83
620.929
1200.56
465 739 900.417
372.633
720.333
2
1863.51
3603.33
931.790
1801.67
621.234
1201.11
465. 968! 900. 833
372.810
720.667
3
1864.43
3605.00
932.248
1802.50
621.540
1201.67
466. 197 1901. 250
373.000
721.000
4
1865.34
3606.67
9:32.707
1803.33
621.846
1202.22
466.427,901.667
373.183
721.333
5
1866.26
3608.33
933.165
1804.17
622.151
1202.78
466.656902.083
373.366
721.067
6
1867.18
3610.00
933.623
1805.00
622.457
1203.33
466.885902.500
373 550
722.000
7
1868.12
3611.67
934.096
1805.83
622.772
1203.89
467.121 902.917
373.739
722. 333
8
1869.07
3613.33
934.569
1806.67
623.087
K'04.44
467.358|'J03.333
373. 928 1722. 607
9
1869.99
3615.00
935.027
1807.50
623.393
1205.00
467.587
903.750
374.111
723.000
10
1870.90
3616.67
935.486
1808.33
623.698
1205.56
467.816
904.167
374.295
723.333
11
1871.82
3618.33
935.944
1809.17
624.004
1206.11
468.045
904.583
374.478
723.667
12
1872.74
3620.00
936.402
1810.00
624.310
1206.67
408.275
905.000
374 662
724.000
13
1873.65
3621.67
936.861
1810.83
624.615
1207.22
468.504
905.417
374.845
724.3:33
14
1874.57
3623.33
937.319
1811.67
624.921
1207.78
468.733
905.833
375.028
724.667
15
1875 49
3625.00
937.778
1812.50
625.226
1208.33
408.962
906.250
375.212
725 000
16
1876.40
3626.67
938.236
1813.33
625.532
1208.89
469 192
906.667
375.395
725.383
17
1877.35
3628.33
938.709
1814.17
625.847
1209.44
469.428
907.083
875.584
725.667
18
1878.29
3630.00
939.181
1815.00
626.162
1210.00
469.604
907.500
375.774
726.000
19
1879.21
3631.67
939.640
1815.83
626.468
1210.56
469.894
907.917
375.957
726.333
20
1880.13
3633.33
940.098
1816.67
626.774
1211.11
470.123
908.333
376.140
726.667
21
1881.04
3635.00
940.557
1817.50
627.079
1211.67
470.352
908.750
376.324
727.000
22
1881.96
3636 67
941.015
1818,33
627.385
1212.22
470.581
909.167
376.507
727.333
23
1882.88
3638.33
941.473
1819.17
027.690
1212.78
470 811
909 583
376.691
727.667
24:
1883.79
3640.00
941.932
1820.00
627.996
1213.33
471.040
910.000
376.874
728.000
25
1884.74
3(541 . 67
942.404
1820.83
028.311
1213.89
471.270
910.41?
377.063
728.333
2G
1885.69
3643.33
942.877
1821.67
628.626
1214.44
471.513
910.833
377.252
728.607
21
1886 60
3645.00
943.336
1822.50
628.932
1215.00
471.742
911.250
877.486
729.000
28
1887.52
3646.67
943.794
1823.33
629.238
1215.56
471.971
911.667
377.619
729.333
29
1888.44
3648.33
944.252
1824.17
629.543
1216.11
472.200
912.083
377.802
729.007
30
1889.35
3650.00
944.711
1825.00
629.849
1216.67
472.430
912.500
377.986
730.000
31
1890.27
3651.67
945.169
1825.83
630.154
1217.22
472.659
912.917
378.169
730.333
32
1891.19
3653.33
945.627
1826.67
630.460
1217.78
472.888
913.333
378 353
730.607
33
1892.13
3655.00
946.100
1827.50
630.775
1218.33
473.124
913.750
•378.542
731.000
34
1893.08
3656.67
946.573
1828.33
631.090
1218.89
473.361
914.16?
378.731
731.333
35
1893.99
3658.33
947.031
18<59.17
531.396
1219.44
473.590
914.583
378. 914
731.667
36
1894.91
3660.00
947.490
1830.00
631.702
1220.00
473.819
915.000
379.098
732 000
37
1895.83
3661.67
947.948
1830.83
632.007
1220.56
474.048
915.417
379.281
732.333
38
1896.74
3663.33
948.406
1831.67
632.313
1221.11
474.278
915.833
379.465
732.607
39
1897.66
3665.00
948.865
1832.50
632.618
1221.67
474.507
916.250
:379.648
733.000
4O
1898.58
3666.67
949.323
1833.33
632.924
1222.22
474.736
916.667
•379.831
733.333
41
1899.52
3668.33
949.796
1834.17
633.239
1222.78
474.973
917.083
'380.020
733.667
42
1900.47
3670.00
950.269
1835.00
C33.554
1223.33
475.209
917.500
380.210
734.000
43
1901.38
3671.67
950.727
1835.83
633.860
1223.89
475.438
917.917
380.393
734.333
44
1902.30
3673.33
951.185
1836.67
634.166
1224.44
475.667
918.333
380.576
7:34.667
45
1903.22
3675.00
951.644
1837.50
634.471
1225.00
475.897
918.750
380.760
735.000
46
1904.13
3676.67
952.102
1838.33
634.777
1225.56
476.126
919.167
380.943
735.333
47
1905.08
3678.33
952.575
1839.17
635.092
1226.11
476.362
919.583
381.132
735.667
48
1906.03
3680.00
953.048
1840.00
635.407
1226.67
476.599
920.000
481.888
736.000
49
1906.94
3681.67
953.506
1840.83
635.713
1227.22
476.828
920.41?
381.505
736.333
50
1907.86
3683.33
953.964
1841.67
636.018
1227.78
477.057
920.833
381.688
736.667
51
1908.78
3685.00
954.423
1842.50
636.324
1228.33
477.286
921.250
381.872
? 37. 000
52
1909.69
3686.67
954.881
1843.33
636.630
1228.89
477.516
921.667
382.055
737.333
53
1910.64
3688.33
955.354
1844.17
636.945
1229.44
477.752
922.083
382.2441737.607
54
1911.58
3690.00
955.827
1845.00
637.260
1230.00
477.988
922.500
382.433:738.000
55
1912.50
3691.67
956.285
1845.83
637.566
1230.56
478.218
922.91?
$82. 61 7 788. 3*3
56
1913.42
3693 3:3
956.743
1846.67
637.871
1231.11
478.447
923.333
382. 800 : 7*8. 667
57
1914.83
3695.00
957.202
1847. 5(
038.177
1231.67
478.676
<L>:3 ?:>(
382. 984 i 739.0(0
58
1915.25
3096.67
957.660
1848.33
638.482
1232.22
478.905924.16?
383.107
739.3:;:)
59
1916.20
3698.33
958.133
1849.1?
638.798
1232.78
479. 142 1924. 583
383.356
739.007
118
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
36°
Tan.
310.419
Arc.
eooTooo
Tan.
2667lil>
Arc.
5147286
Tan.
2327896
Arc.
450TOOO
Tan.
2077062
Arc.
4007000
Tan. I Arc.
18^740313607000
M.
~O~
310. 572 GOO. 278
266.247
514.524
233.011
450.208
207.164
400.185
186.495
360.167
1
310.724 600.556
266.378
514.762
233.125
450.417
207.266
400.370
186.587
360.3:33
2
310.8771600.833
266.509
515.000
2:33.240
450.625
207.368
400.556
186.679
360.500
3
811.080601.111
266.640
515.238
233.355
450.833
207.470
400.741
186.770
360.667
4
311.183
601.389
266.771
515.476
233.470
451.042
207.572
400.926
186.862
360.833
5
311.336
601.667
266.902
515.714
233.584
451.250
207.673
401.111
186.954
361.000
6
311.494
601.944
267.037
515.952
233.702
451.458
207.779
401.296
187.049
361.167
7
311.651
602.222
267.172
516.190
233.821
451.667
207.884
401.481
187.143
361.333
8
311.804
602.500
267.304
516.429
233.935
451.875
207.986
401.667
187.235
361.500
9
311.957
602.778
267.435
M6.667
234.050
452.083
208.088
401.852
187.327
361.667
1O
312.110
603.056
267.566
:>16.905
234.165
452.292
208.190
402.037
187.419
361.833
11
312.263
603.3:33
267.697
517.143
234.279
452.500
208.292
402.222
187.511
362.000
12
312.415
603.611
267.828
517.381
234.394
452.708
208.394
402.407
187.602
362.167
13
312.568
603.889
267.959
517.619
234.509
452.917
208.496
402.593
187.694
362.333
14
312.721
604.167
268.090
517.857
234.624
453.125
208.598
402.778
187.786
362.500
15
312.874
604.444
268.221
518.095
234.738
453333
208.700
402.963
187.878
362.667
16
313.032
604.722
268.356
518.333
234.857
453.542
208.805
403.148
187.972
362.833
17
313.189
605.000
268.491
518.571
234.975
453.750
208.910
403.333
188.067
363.000
18
313.342
605.278
268.622
518.810
235.089
453.958
209.012
403.519
188.159
363.167
19
313.495
605.556
268 753
519.048
235.204
454.167
209.114
403.704
188.251
363.333
2O
313.648
605.833
268.884
519.286
235.319
454.375
209.216
403.889
188.342
363.500
21
313.801
606.111
269.015
519.524
235.434
454.583
209.318
404.074
188.434
363.667
22
313.954
606.389
269.146
519.762
235.548
454.792
209.420
404.259
188.526
363.833
23
314.106
606.667
269.277
520.000
235.663
455.000
209.522
404.444
188.618
364.000
24
314.264
606.944
269.412
520 238
235.781
455.208
209.627
404.630
188.712
364.167
25
314.422
607.222
269.548
520.476
235.899
455.417
209.732
404.815
188.807
364.333
26
314.575
007.500
269.679
520.714
236.014
455.625
209.834
405.000
188.899
364.500
27
314.727
607.778
269.810
520.952
-'36.129
455.833
209.930
405.185
188 991
364.667
28
314.880
608.056
269.941
521.190
236.243
456.042
210.038
405.370
189.082
364.833
29
315.033
608.333
270.072
521.429
236.358
456.250
210.140
405.556
189.174
365.000
30
315.186
608.611
270.203
521.667
236.473
456.458
210.242
405.741
189.266
365.167
31
315.339
608.889
270.334
521.905
236.588
456.667
210.344
405.926
189.358
365.333
32
315.497
609.167
270.469
522.143
236.706
456 875
210.441)
406.111
189.452
365.500
33
315.654
609.444
270.601
522.381
236.824
457.083
210.554
406.296
189.547
365.667
34
315.807
609.722
270.735
522.619
236.939
457.292
210.656
406.481
189.639
365.833
35
315.960
610.000
270.866
522.857
237.053
457.500
210.758
406.667
189.731
366.000
36
316.113
610.278
270.997
523.095
237.168
457.708
210.860
406.852
189.822
366.167
37
316.266
610.556
271.128
523.333
237.283
457.917
210.962
407.037
189.914
366.333
38
316.418
610.833
271.259
523.571
237.397
458.125
211.064
407.222
190.006
366.500
39
316.571
611.111
271.390
523.810
237.512
458.333
211.166
407.407
190.098
366.667
4O
316.729
611.389
271.526
524.048
237.630
458.542
211.271
407.593
190.193
366.833
41
316.887
611.667
271 661
524.286
237.749
458.750
211.376
407.778
190.287
367.000
42
317.039
611.944
271.792
524.524
237.863
458.958
211.478
407.963
190.379
367.167
43
317.192
612.222
271.923
524.762
237.978
459.167
211.580
40S.148
190.471
367.33-3
44
317.345
612.500
272.054
525.000
238.093
459.375
211.682
408.333
190.563
367.500
45
317.498
612.778
272.185
525.238
238.207
459.583
211.784
408.519
190.654
367.667
46
317.656
613.056
272.320
525.476
238.326
459.792
211.889
408.704
190.749
367.833
47
317.813
613.333
272.455
525.714
238.444
460.000
211.994
408.889
190.844
368.000
48
317.966
613.611
272.586
525.952
238.559
460.208
212.096
409.074
190.935
368.167
49
318.119
613.889
272.717
526.190
238.673
460.417
212.198
409.259
191.027
368.333
5O
318.272
614.167
272.848
526.429
238.788
460.625
212.300
409.444
191.119
368.500
51
318.425
614.444
272.979
526.667
238.903
460.833
212.402
409.630
191.211
368.667
52
318.582
614.722
273.114
526.905
239.021
461.042
212.507
409.815
191.305
368 833
53
318.740
615.000
273.250
527.143
239.139
461.250
212 612
410.000
191.400
369.000
54
318.893615.278
273. 3*1 1527. 381
239.254461.458
212.714
410. 185
191 .492
369.167
55
319.046 615.556
273.512527.619
239.369461.C-67
212.816
410 370
191.584
369.333
56
319.1!)9615.833
273.643527.857
239.483461.875
212.918
410 556
191.676
369.500
57
319.35li6l6.ni
273.774528.095
239.598462.083
213.020
410.741
191.767
369.667
58
319.509616.389
273.909528.333
239.716'462.292213.125
410.926
191.862
369.833
59
119
TABLE XIV. — ACTUAL TANGENTS, ETC.
37°
Ivi7
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
1917.14 3700.00
95H.OOO
1KW.OO
639.113
1233.33
479.378
925.000
383.545
740.000
1
1918.008701.07959 0(54
1850.83
639.418
1233.89
479.607
925.417
383.729
740 333
2
1918.973703.33
959.522
1851.67
639.724
1234.44
479.837
925.833
383.912
740.607
3
1919.893705.00
959.981
1852.50
640.030
1235.00
480.000
926.250
384.090
741.000
4
1920.81:3706 67
960.439
1853.33
640.335
1235.56
480.295
920.607
384.279
741.:J33
5
1921.758708.38
960.912
1854.17
640.650
1236.11
480.531
1(27.083
384.408
741.607
6
19*22.703710.00
961.385
1855.00
640.966
1236.67
480.768
927.500
384.657
742.000
7
1923.62
3711.67
961.843
1855.83
641.271
1237.22
480.997
927.917
384.841
742.333
8
1924.53
3713.33
962.301
1856.67
041.577
1237.78
481.226
928.333
385.024
742.007
9
1925.45 3715.00
962.760
1857.50
041.882
1238.33
481.455
928.750
385.207
743.000
10
1926.373716.67
963.218
1858.33
642.188
1238.S9
481.685
929.167
385.391
743.333
11
1927.31 3718.33
963.691
1859.17
642.503
1239.44
481.921
929.583
385.580
743.007
13
1928.263720.00
964.164
1860.00
642.818
1240.00
482.157
930.000
385.769
744.000
13
1929. 17 13721. 67
964.622
1860.83
643.124
1240.56
482.387
930.417
385.952
744.333
14
1930.093723.33
965.080
1861.67
643.430
1241.11
482.616
930.833
386.136
744.607
15
1931.013725.00
965.539
1862.50
643.735
1241.67
482.845
931.250
386.319
745.000
16
1931. 92 1 3726. 67
965.997
1863.33
644.041
1242.22
483. 074
931.667
386.503
745.333
17
1932.873728.33
966.470
1864.17
044.356
1242.78
483.311
932.083
386.692
745.607
18
1933.81 3730.00
966.943
1865.00
044.671
1243.33
483.547
932.500
386.881
746.000
19
1934.73
3731.67
967.401
1865.83
644.977
1243.89
483.776
932.917
387.064
746.333
20
1935.65
3733.33
967.859
1866.67
645.282
1244.44
484.006
933.333
387.248
746 . 667
21
1936.59
3735.00
908.332
1867.50
645.597
1245.00
484.242
933.750
387.437
747.000
22
1937.54
3736.67
968.805
1868.33
645.913
1245.50
484.478
934.107
387.020
747.333
23
1938.46 3738.33
969.263
1869.17
646.218
1240.11
484.708
934.583
387.809
747.607
34
1939.37
8740.00
909.722
1870.00
646.524
1246.67
484.937
935.000
387.993
748.000
25
1940.32
3741.67
970.194
1870.83
646.839
1247.22
485.173
935.417
388.182
748.333
2G
1941.26
3743.33
970.667
1871.67
647.154
1247.78
485.410
935.833
388.371
748.667
27
1942.18
3745.00
971.125
1872 .'50
647.460
1248.33
485.639
936.250
388.555
749.000
28
1943 10
3746.67
971.584
1873.33
647.765
1248.89
485.868
936.607
388.738
749.333
29
1944.01
3748.33
972.042
1874.17
648.071
1249.44
486.097
937.083
388.921
749.667
30
1944.93
3750.00
972.500
1875.00
648.377
1250.00
486.327
937.500
389.105
750.000
31
1945.88
3751.67
972.973
1875.83
648.692
1250.56
486.503
937.917
389.294
750.333
32
1946.82
3753. 33
973.446
1876.67
649.007
1251.11
486.799
938.333
389.483
750.607
33
1947.74
3755.00
973.904
1877.50
649.313
1251.07
487.029
938.750
389.006
751.000
34
1948.65
3756.67
974.363
1878.33
049.618
1252.22
487.258
939.167
389.850
751.333
35
1949.60
3758.33
974.835
1879.17
649.933
1252.78
487.494
939.583
390.039
751.667
36
1950.54
3760.00
975.308
1880.00
650.249
1253.33
487.731
940.000
390.228
752.000
37
1951.46
3761.67
975.767
1880.83
650.554
1253.89
487.960
940.417
390.412
752.333
38
1952 38
3763.33
976.225
1881.07
050.860
1254.44
488.189
940.833
390.595
752.667
39
1953.32
3705.00
976.698
1882.50
651.175
1255.00
488.426
941.250
390.784
753.000
40
1954.27
3766.67
977.170
1883.33
651.490
1255.56
488.662
941.667
390.973
753.333
41
1955.19
3768.33
977.629
1884.17
651.796
1256.11
488.891
942.083
391.157
753.667
42
1956.10
3770.00
978.087
1885.00
652.101
1256.67
489.120
942.500
391.340
754.000
43
1957.05
3771.67
978.560
1885.83
052.416
1257.22
489.357
942.917
391.529
754.333
44
1957.99
3773.33
979.033
1886.67
652.732
1257.78
489.593
943.333
391.718
754.607
45
1958.91
3775.00
979.491
1887.50
653.037
1258.33
489.822
943.750
391.902
755.000
46
1959.83
3776.67
979.949
1888.33
653.343
1258.89
490.052
944.167
392.085
755.333
47
1960 77
3778.33
980.422
1889.17
653.658
1259.44
490.288
944.583
392.274
755.607
48
1961.72
3780.00
980.895
1890.00
653.973
1260.00
490.524
945 000
392.463
756.000
49
1962.63
3781.67
981.353
1890.83
G54.279
1260.56
490.754
945.417
392.647
756.333
5O
1963.55
3783.33
981.812
1891.67
654.584
1261.11
490.983 945.833
392.830
756.667
51
1964.50
3785.00
982.284
1892.50
654.900
1261.67
491.219946.250
393 019
757.000
53
1965.44
3786.67
982.757
1893.33
655.215
1262.22
491.456,946.667
393.208
757.333
53
1966.30
3788.33
983.215
1S94.17
655 5:20
1262.78
491.685947.083
393.392
757.607
54
1967.28
3790.00
983.674
1895.00
655.826
1263.33
491.914:947.500
393.575
758.000
55
1968.22
3791.67
984.14611895.83
656.141
1263.89
492.15l'947.917
393.764
758.333
56
1969.17
3793.33
984.6191896.67
656.456
1264.44
492.387 948.333
393.954
758.607
57
1970.08
3795.00
985.0781897.50
656.762
1265.00
49.2.616948.750
394. 137 1759.000
58
1971.00
3796.67
985.5361898.33
657.008
1205.56
492.845949.167
394.320759.333
59
1971.94
3798.33
9^6.009 1899.17
657.383
1266.11
493.082949.583
394. 509 1759.007
120
'TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
37"
Tan.
319.667
Arc.
616.667
Tan.
274.044
Arc.
Tan.
Arc.
Tan.
Arc.
411.111
Tan.
191.957
Arc.
370.000
M.
528.571
239.835
462 500
213.230
O
3 19.8:20
616.944
274.175528.810239.949
462.708
213.332
411.296
192.048
370.167
1
319.972
617.222
274.306 529.048
240 064
462.917
213.434
411.481
192.140
370.333
2
320.125
617.500
274.437
529.286
240.179
463.125
213.536
411.667
192.232
370.500
3
320.278
617.778
274.568
529.524
240.293
463.333
213.638
411.852
192.324
370.667
4
320.436
618.056
274.703
529.762
240.412
463.542
213.743
412.037
192.418
370.833
5
320.593
618.333
274.838
530.000
240.530
463.750
213.849
412.222
192.513
371.000
6
320.746
618.611
274.970
530.238
240.644
463.958
213.951
412.407
192.605
371.167
7
320.899
618.889
275.101
530.476
240.759
464.167
214.053
412.593
192.697
371.333
8
321.052
619.167
275.232
530.714
240.874
464.375
214.155
412.778
192.788
371.500
9
321.205
619.444
275.363
530.952
240.989
464.583
214.256
412.963
192.880
371.667
10
321.363
619.722
275.498
531 . 190
241.107
464.792
214.362
413.148
192.975
371.833
11
321.520
620.000
275.633
531.429
241.225
465.000
214.467
413.333
193.070
372.000
12
321.673
620.278
275.764
531.667
241.340465.208
214.569
413.519
193.161
372.167
13
321.826
620.556
275.895
531.905
241.454
465.417
214.671
413.704
193.253
372.333
14
321.979
620.833
276.026
532.143
241.569
465 625
214.773
413.889
193.345
372.500
15
322.132
621.111
276.157
532.381
241.684
465.833
214.875
414.074
193.437
372.667
16
322.289
621.389
276.292
532.619
241.802
466.042
214.980
414.259
193.531
372.8.33
17
322.447
621.667
276.42,
532.857
241.920
466.250
215.085
414.444
193.626
373.000
18
322.600
621.944
276.558
533.095
242.035
466.458
215.187
414.630
193.718
373.167
19
322.753
622.222
276.689
533.333
242.150
466.667
215.289
414.815
193.810
373.333
20
322.910
622.500
276.825
•333.571
242.268
466.875
215.394
415.000
193.904
373.500
21
323.068
622.778
276.960
533.810
242.386
467.083
215.499
415.185
193.999
373.667
22
323.221
623.056
277.091
534.048
242.501
467.292
215.601
415.370
194.091
373.833
23
323.374
623.333
277.222
534.286
242.616
467.500
215.703
415.556
194.183
37'4.000
24
323.531
623.611
277.357
534.524
242.734
467.708
215.808
415.741
194.277
374.167
25
323.689
623.889
277.492
534.762
242.852
467 917
215.913
415.926
194.372
374.333
26
323.842
624.167
277.623
535.000
242.967
468.125
216.015
416.111
194.464
374.500
27
323.995
624.444
277.754
535.238
243.082
468.333
216.117
416.296
194.555
374.667
28
324.147
624.722
277.885
535.476
243.196
468.542
216.219
416.481
194.647
374.833
29
324.300
625.000
278.016
535.714
243.311
468.750
216.321
416.667
194.739
375.000
30
324.458
625.278
278.151
535.952
243.429
468.958
216.426
416.852
194.834
375.167
31
324.616
625.556
278.287
536.190
243.547
469.167
216.532
417.037
194.928
375.3133
32
324.768
625.833
278.418
586.429
243.662
469.375
216.634
417.222
195.020
375.500
33
324.921
626.111
278.549
536.667
243.777
469.583
216.735
417.407
195.112
375.667
34
325.079
626.389
278.684
536.905
243.895
469.792
216.841
417.593
195.207
375.833
35
325.237
626.667
278.819
537.143
244.013
470.000
216.946
417.778
195.301
376.000
36
325.389
626.944
278.950
537.381
244.128
470.208
217.048
417.963
195.393
376.167
37
325.542
627.222
279.081
537.619
244.243
470.417
217.150
418.148
195.485
376.333
38
325.700
627.500
279.216
537.857
244.361
470.625
217.255
418.333
195.579
376.500
39
325.858
627.778
279.351
538.095
244.479
470. 833
217.360
418.519
195.674
376.667
40
326.010
628.056
279.482
538.333
244.594
471.042
217.462
418.704
195.766
376.833
41
326.163
628.333
279.613
538 571
244.709
471.250
217.564
418.889
195.858
377.000
42
326.321
628.611
279.749
538.810
244.827
471.458
217.669
419.074
195.952
377.167
43
326.479
628.889
279.884
539.048
244.945
471.667
217.774
419.259
196.047
377.333
44
326.631
629.167
280.015
539.286
245.060
471.875
217.876
419.444
196.139
377.500
45
326.781
629.444
280.146
539.524
245.175
472.083
217.978
419.630
196.231
377.667
46
326.942
629.722
280.281
539.762
245.293
472.292
218.083
419.815
196.325
377.833
47
327.100
630.000
280.416
540.000
245.411
472.500
218.188
420.000
196.420
378.000
48
327.252
630.278
280.547
540.238
245.526
472.708
218.290
420.185
196.512
378.167
49
327.405
630.556
280.678
540.476
245.640
472.917
218.392
420.370
196.604
378.333
50
327.563
630.833
280.813
540.714
245.759
473.125
218.498
420.556
196.698
378.500
51
327.721
631.111
280.348
540.952
245.877
473.333
218.603
420.741
196.793
378.667
52
327.873
631.389
281.079
541.190
245.992
473.542
218.705
420.926
196.885
378.833
53
328.026
631.667
281.210
541.429
246.106
473.750
218.807
421.111
196.976
379.000
54
328.184
631.944
281.346
541.667
246.225
473.958
218.912
421.296
197.071
379.167
55
328.342
632. 22 -2
281.481
541.905
246.343
474.167
219.017
421.481
197.166
379.333
56
328.494
632.500
281.612
542.143
246.458
474.375
219.119
421.667
197.258
379.500
57
328.647
632.778
281.743
542.381
246.572
474.583
219.221
421.852
197.349
379.667
58
328.805
633.056
281.878
542.619
246.691
474.792
219.326
422.037
197.444
379.833
59
131
TABLE XIV. — ACTUAL TANGENTS, ETC.
38°
M7
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. I Arc.
~0~
1972.89
3800.00
9S6.481 1900.00
657.698
1266.67
493.318
950.000394.699760.000
1
1973.81
3801.67
986.9401900.83
658.003
1267.22
493.547
950.417394 882
760.333
2
1974.72
3803.33
987. 398 1 1901. 67
658.309
1267.78
493.777
950.833395.065
760.667
3
1975.67
3805.00
987.871 1902.50
658.624
1268.33
494.013
951.250395.255
761.000
4
1976.61
3806.67
988.344 1903.33
658.939
1268.89
494.249
951.667395.444
761.333
5
1977. 53 1 3808. 33
988.802:1904.17
659.245
1269.44
494.479
952.083395.627
761.667
6
1978.45
3810.00
989. 260 ! 1905. 00
659.551
1270.00
494.708
952.500395.810
762.000
7
1979.3!)
3811.67
989.733 1905.83
659.866
1270.56
494.944
952.9J7i396.000
762.333
8
1980.34
3813.33
990.206
1906.67
660.181
1271.11
495.181
953.333396.189
762.667
9
1981.28
3815.00
990.678
1907.50
660.496
1271.67
495.417
953.750
396.378
763.000
10
1982.23
3816.67
991.151
1908.33
660.811
1272.22
495.653
954.167
396.567
763.333
11
1983.15
3818.33
991.610
1909.17
661.117
1272.78
495.883
954.583:396.750
763 667
12
13
1934.06
1985.01
3820.00
3821.67
992.068
992.541
1910.00
1910.83
661.423
661.738
1273.33
1273.89
496.112
496.348
955.000J 396. 934
955.417397.123
764.000
764.333
14
1985.95
3823 33
993. 013 [191 1.67
662.053
1274.44
496.585
955.833:397.312
764.667
15
1986.87
3825.00
993. 472 ! 191 2. 50
662.358
1275.00
496.814
956. 250; 397.495
765.000
16
1987.79
3826.67
993.930il913.33
662.664
1275.56
497.043
956. 667 j 397. 679
765.333
17
1988.73
3828.33
994.403
1914.17
662.979
1276.11
497.280
957.083397.868
765 . 667
18
1989.68
3830.00
994.876
1915.00
663.294
1276.6?
497.516
957.500
398.057
766.000
19
1990.60
3831.67
995.334
1915.83
663.600
1277.22
497.745
957.917
398.241
766.333
20
1991.51
3833.33
995.792
1916.67
663 906
1277.78
497.974
958.333
398.424
766.667
21
1992.46
3835.00
996.265
1917.50
664.221
1278.33
498.211
958.750398.613
767.000
22
1993.40
3836.67
996.738
1918.33
664.536
1278.89
498.447
959.167
398.802
767.333
23
1994.35
3838.33
997.211
1919.17
664.851
1279.44
498.684
959.583
398.991
767.667
24
1995.29
3840.00
997.683
1920.00
665.166
1280.00
498.920
960.000
399.181
768.000
25
1996.21
3841 67
998.142
1920 83
665.472
1280.56
499.149
960.417
399.364
768.333
26
1997.13
3843 33
998.600
1921.67
665.777
1281.11
499.378
960.833
399.547
768.667
27
1998.07
3845.00
999.073
1922.50
666.093
1281.67
499.615
961 250
399.730
769.000
28
1999.02
3846.67
999.545
1923.33
666.408
1282.22
499.851
961 . 667
399.926
769.333
29
1999.96
3848.33
1000.02
1924.17
666.723
1282.78
500.088
962.083
400.115
769.667
30
2000.91
3850.00
1000.49
1925.00
667.038
1283.33
500.324
962.500
400.304
770.000
31
2001.83
3&51.67
1000.95
1925.83
667.344
1283.89
500.553
962.917
400.48?
770.333
32
2002.74
3853.33
1001.41
1926.67
667.649
1284.44
500.782
963.333
400.671
770.667
33
2003.69
3855.00
1001.88
1927.50
667.965
1285.00
501.019
963.750
400. 86(
771.000
34
2004.63
3856.67
1002.35
1928.33
668.280
1285.56
501.255
964.167
401.049
771.333
35
2005.58
3858.33
1002.83
1929.17
668.595
1286.11
501.492
964.583
401.238
771.667
36
2006.52
3860.00
1003.30
1930.00
668.910
1286.67
501.728
965.000
401.427
772.000
37
2007.44
3861.67
1003.76
1930.83
669.216
1287.22
501.957
965.417
401.611
772.333
38
2008.36
3863.33
1004.22
1931.67
669.521
1287.78
502.186965.833
401.794
772.667
39
2009.30
3865.00
1004.79
1932.50
669.836
1288.33
502.423
966.250
401.983
773.000
4O
2010.25
3866.67
1005.16
1933. as
670.152
1288.89
502.659
966.667
402.172
773.333
41
2011.19
3868.33
1005.73
1934.17
670.467
1289.44
502.896967.083
402.361
773.667
42
2012.14
3870.00
1006.11
1935.00
670.782
1290.00
503 132 967.500
402.551
774.000
43
2013.06
3871.67
1006.56
1935.83
671.088
1290.56
503.361 967.917
402.734
774.333
44
2013.97
3873.33
1007.02
1936.67
671.393 1291.11
503.591 968.333
402.917
774.667
45
2014.92
3875.00
1007.50
1937.50
671. 708 J1291. 67
503.827l96S.750
403.107
775.000
46
2015.86
3876.67
1007.97
1938.33
672. 023 '1292. 22
504.063969.167
403.296
775.333
47
2016.81
3878.33
1008.44
1939.17
672.339! 1292. 78
504.300969.583
403.485
775.667
48
2017.75
3880.00
1008.91
1940.00
672.65411293.33
504.536:970.000
403.674
776.000
49
2018.67
3881.67
1009.37
1940.83
672.959
1293.89
504.765,970.417
403.857
776.333
50
2019.59
3883.33
1009.83
1941.67
673.265
1294.44
504.995970.833
404.041
776.667
51
2020.53
3885.00
1010.30
1942.50
673.580
1295.00
505 231 971.2501404.230
777.000
52
2021.48
3886.67
1010.78
1943.33
673.895
1295.56
505.467971*667404.419
777.333
53
2022.42
3888.33
1011.25
1944.17
674.210
1296.11
505.704 972.083404.608
777.667
54
2023.37
3890.00
1011.72
1945.00
674.526
1296.67
505.940972.500:404.797
778.000
55
2024.293891.67
1012.18
1945.83
674.831
1297.22
506.169972.917404.981
778.333
56
2025. 20 3893. 33! 101 2. 64
19-16.67
673.187
1297.78
506 . 399 973 . 333 405 . 1 64
778.667
57
2026.153895.00
1013.11
1947.50
575.452
1298.33
506 . 635 973 . 750 '4 05 . 353
779.000
58
2027. 09 13896.67
1013.58
1948.33
675.767
1298.88
506.871 974.167405.542
779.333
59
2028. 0413898. 33 1014. 06
1949.1?
676.082
1299.44
507.108974.583i405.732
779.667
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
38°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
328.963
633.333
282.013542.857
246.809
475.000
219.431
422.222
197.539
380.000
O
329.115633.611
282.144543.095
246.923
475.208
219.533
422.407
197.630
380.167
' 1
329. 268 1633.889
329.426634.167
282.2751543 333
282.410543.571
247.038
247.156
475.417
475.625
219. 635
219.740
422.593
422.778
197.722
197.817
380.333
380.500
2
3
329.583
634.444
282.545:543.810
247.275
475.833
219.845
422.963
197.912
380.667
4
329.736
634.722
282.677
544.048
247.389
476.042
219.947
423.148
198.003
380.833
5
329.881)
635.000
282.808
544.286
247.504
476.250
220.049
423.333
198.095
381.000
6
330.047
635.278
282.943
544.524
247.622
476.458
220.154
423.519
198.190
381.167
7
330.204
635.556
283.078
544.762
247.741
476.667
220.260
423.704
198.284
381 .333
8
330.362
635.833
283.213
545.000
247.859
476.875
220.365
423.889
198.379
381.500
9
330.520
636.111
283.348
545.238
247.977
47". 083
220.470
424.074
198.474
381 667
10
330.673
636.389
283.479
545.476
248.092
47". 292
220.572
424.259
198.566
381.833
11
330 825
636.667
283.610
545.714
248.207
47". 500
220.674
424.444
198.657
382.000
12
330.983
636.944
883,746
545.952
248.325
47". 708
220.779
424.630
198.752
382 167
13
331.141
637.222
283.880
546.190
24».443
47". 917
220.884
424.815
198.847
382.333
14
331.294
637.500
284.012
546.429
248.558
478.125
220.986
425.000
198.938
382.:.00
15
881.446
637.778
284.143
546.667
248.672
478.333
221.088
425.185
199.030
382 667
16
331.604
638.056
284.278
546.905
248.791
478.542
221.193
425.370
199.125
382.833
17
331.762
638.333
284.413
547.143
248.909
478.750
221.298
425.556
199.220
383.000
18
331.915
638.611
284.544
547.381
249.024
478.958
221.400
425.741
199.311
383.167
19
332.067
638.889
284.675
547.619
249.138
479.167
221.502
425.926
199.403
383.333
2O
332.225
639.167
284.810
547.857
249.257
479.375
221.607
426.111
199.498
383.500
21
332.383
6:39.444
284.945
548.095
249.375
479.583
221.713
426.296
199.592
383. C67
2 2
332.540
639.722
285.080
548.333
249.493
479.792
221.818
426.481
199.687
383.833
23
332. 60S
640.000
285.215
548.571
249.611
480.000
221.923
426.667
199.782
384.000
24
332.851
640.278
285.347
548.810
249.726
480.208
222.025
426.852
199.874
384 107
25
383.004
640.556
285.478
549.048
249.841
480.417
222.127
427.037
199.965
384.333
26
333.161
640.833
285.613
549.286
249.959
480.625
222.232
427.222
209.060
384.500
27
333.319
641.111
285.748
549.524
250.077
480.833
222.337
427.407
200.155
384.667
28
333.477
641.389
285.883
549.762
250.196
481.042
222.442
427.593
200.249
384.833
29
333.634
641.667
286.018
550.000
250.314
481.250
222.547
427.778
200.344
385.000
30
3:33.787
641.944
289 149
550.238
250.429
481 458
222.649
427.963
200.436
385.167
31
333.940
642. 22*
286.280
550.476
250 543
481.667
222.751
428.148
200.528
385.333
32
834.098
642.500
286.415
550.714
250.661
481.875
222.856
428.333
200.622
385.500
33
334.255
642.778
286.550
550.952
250.780
482.083
222.962
428.519
200.717
385.667
34
334.413
643.056
286.686
551.190
250.898
482.292
223.067
428.704
200.812
385.833
35
334.571
643.333
286.821
551.429
251.016
482.500
223.172
428.889
200.906
386.000
36
334.723
643.611
286.952
551.667
251.131
482.708
223.274
429.074
200.998
386.167
37
3:34.876
643.889
287.083
551.905
251.246
482.917
223.376
429.259
201.090
386.333
38
335.034
644.167
287.218
552.143
251.364
483.125
223.481
429.444
201.184
386.500
39
335.192
644.444
287.353
552.381
251.482
483.333
223.586
429.630
201.279
386.667
4O
335.349
644.722
287.488
552.619
251.600
483.542
223.691
429.815
201.374
386.833
41
335.507
645.000
287.623
552.857
251.719
483.750
223.796
430.000
201.468
387.000
42
335.660
645.278
287.754
553.095
251.833
483 958
223.898
430.185
201.560
387.167
43
3:35.813
645.556
287.885
553.333
251.948
484.167
224.000
430.370
.201.652
387.3:33
44
335.970
645.833
288.021
553.571
252.066
484.375
224.106
430.556
201.747
387.500
45
336.128
646.111
288.156
553.810
252.185
484.583
224.211
430.741
201.841
387.607
46
336.285
646.389
288.291
554.048252.303
484.792
224.316
430.926
201.936
387.833
47
336 443
646.667
288.426
554.286
252.421
485.000
224.421
431.111
208.031
388.000
48
336.596
646.944
288.557554.524
252.536
485.208
224 523
431.296
202.122
388.167
49
336.749
647.222
288.688554.762
252.651
485.417
224.625
431.481
202.214
388.333
5O
336 906
647.500
288.823555.000252 769
485.625
224.730
431.667
202.309
388. £00
51
3:37.064
647 . 77'8 288 . 958 555 . 23S 252 . 887
485.833
224.835
431.852
202.404
388. 007
52
337.222
648.056 280.094 555.476 253.005
486.042
224.940
432.037
202.498
388. K33
53
337.370
64S 3331289 . 220 555 . 714 253 .124
486.250
225.045
432.222
202.59.3
389.000
54
337.532
648.611 289.30D 555.952 2ft3 238
48(5.458
225.147
432.407
202.685
389.167
55
337 . OH5 64H . 889 289 . 491 556 . 1 90 253 . 353
486.667
225.249
432.593
202.776
389.333
56
337.843 6-19. 107 289. (26 556.429 253.471
486.875
225.355
432.778
202.871
389.500
57
338.000 649.444 289 761 556.667 253.590
487.083
225.460
432.963
202.966
389.607
58
338 . 158^ 649 . 702 289 . 896 556 . 905 253 . 708
487.292
225.565
433.148
203.060
389.833
59
TABLE XIV. — ACTUAL TANGENTS, ETC.
39°
1° Curve.
3° Curve.
3° Curve,
4° Curve.
5° Curve.
M.
Tan.
2028798
Arc.
Tan.
A re.
Tan.
Arc.
Tan.
Arc.
975.000
Tan.
Arc.
780. UOO
O
3900.00
1014.53
1950.00
676.398
1300.00
507.344
405.921
1
2029.93
3901.67
1015.00
1950.83
676.713
1300.56
507.581
975.417
406.110
780. 333
2
2030.87
3903.33
1015.47
1951.67
677.028
1301.11
507.817
975.833
406.299
780.607
3
2031.79
3905.00
1015.93
1952.50
077.333
1301.67
508.046
976.250
406.482
781.000
4
2032.71
3906.67
1016.39
1953.33
077 . G3(J
1302.22
508.275
976.667
406.660
781.333
5
2033 65
3908.33
1016.86
1954.17
077. 95^
1302.78
508.512
977.083
406.855
781.667
6
203 t. GO
3910.00
1017.34
1955.00
078.269
1303.33
508.748
977.500
407.044
182.000
7
2035.54
3911.67
1017.81
1955.83
078.585
1303.89
508.985
977.917
407.233
782.333
8
2033.49
3913.33
1018.28
1956.67
678.900
1304.44
509.221
978.333
407.422
782.607
9
2037.43
3915.00
1018.75
1957.50
679.215
1305.00
509.457
978.750
407.611
783.000
1O
2038.38
3916.67
1019.23
1958.33
679.530
1305.56
509.694
979.167
407.801
; 83. 333
11
2039.30
3918.33
1019.69
1959.17
679.836
1306.11
509.923
979.583
407.984
783. G07
12
2040.21
3920.00
1020.14
1960.00
680.141
1306.07
510.152
980.000
408.107
784.000
13
2041.16
3921.67
1020.62
1960.83
680.456
1307.22
510.389
9S0.417
408.357
784.333
14
2042.10
3923.33
1021.09
1961.67
680.772
1307.78
510.625
980.833
408.546
784.067
15
2043.05
3925.00
1021.56
1962.50
681.087
1308.33
510.861
981.250
408.735
785.000
16
2044.00
3926.67
1022.04
1963.33
681.402
1308.89
511.098
981.667
408.924
785.333
17
2044.94
3928.33
1022.51
1904.17
681.717
1309.44
511.334
982.083
409.113
785.607
18
2045.89
3930.00
1022.98
1965.01
68.2.03.'
1310.00
511.571
982.500
409.302
786.000
19
2046.83
3931.67
1023.45
1965.83
682.347
1310.56
511.807
982.917
409.491
786.333
20
2047.78
3933.33
1023.93
1966.67
682.663
1311.11
512.043
983.333
409.680
786.667
21
2048.69
3935.00
1024.38
1967.50
682.968
1311.67
512.273
983.750
409.804
787.000
22
2049.61
3936.67
1024.84
1968.33
683.274
1312.22
512.502
984.167
410.047
787.333
23
2050.56
3938.33
1025.32
1909.17
683.589
1312.78
512.738
984.583
410.236
787.007
34
2051.50
39 JO. 00
1025.79
1970.00
683.904
1313.33
512.975
985.000
410.426
788.000
35
2052.45
3941.67
1026.26
1970.83
684.219
1313.89
513.211
985.417
410.615
788.333
36
2053 39
3913.33
1026.73
1971.67
084.534
1314.44
513.447
985.833
410.804
788.607
37
2054.34
3945.00
1027.21
1972.50
684.850
1315. CO
513.084
986.250
410.993
789.000
38
2055.28
3946.67
1027.68
HI73.33
685.165
1315.50
513.920
986.667
411.182
789.333
39
2056.23
3948.33
1028. 15
1974.17
085.480
1316.11
514.157
987.083
411.371
789.007
30
2057.17
3950.00
1028 62
1975.00
685.795
1316.67
514.393
987.500
411.560
790.000
31
2058.12
3951.67
1029.10
1975.83
086.110
1317.22
514.629
987.917
411.750
790.333
33
2059.06
3953.33
1029.57
1976.67
086.425
1317.78
514.800
988.333
411.939
790.067
33
2059.98
3955.00
1030 03
1977.50
686.731
1318.33
515.095
888.750
412.122
791.000
34
2060.90
3956.67
1030.49
1978.33
087.037
1318.89
515.324
989.167
412.305
791.333
35
2061.84
3958.33
1030.96
1979.17
687.352
1319.44
515.561
989.583
412.495
791. G07
36
2062.79
3960.00
1031.43
1980.00
687.667
1320.00
515.797
990.000
412.684
792.000
37
^063.73
3961.67
1' :31.90
1980.83
687.982
1320.56
516.033
990.417
412.873
792.333
38
2064.68
3963.33
1032.38
1981.67
688.297
1321.11
516.270
990.833
413.062
792.007
39
2065.62
3965.00
1032.85
1982.50
688.612
1321.67
516.506
991.250
413.251
793 000
40
2066.57
3966.67
1033.32
1983.33
688.928
1322.22
516.743
991.667
413.440
793.333
41
2067.52
3968.33
1033.80
1984.17
689.243
1322.78
516.979
992.083
413.629
793.667
43
2068.46
3970.00
1031.27
19a5.00
089.558
1323.33
517.215
992.500
413.819
794.000
43
2069.41
3971.67
1034.74
1985.83
689.873
1323.89
517.452
992.917
414 008
794.333
44
2070.35
3973.33
1035.21
1986.67
690.188
1324.44
517.088
993.3,'33
414.197
794.607
45
2071.30
3975.00
1035.69
1987.50
690.503
1325.00
517.925
993.750
414.386
795.000
46
.W2.243976.67
1036.16
1988.33
690.819
1325.56
•518.161
994.167
414.575
795.333
47
2073.163978.33
1036.62
1989.17
691.124
1320.11
518.390
994.583
414.758
795. G67
48
2074.083980.00
1037.08
1990.00
691.430
1&6.67
5l8.€19i995.000
414.942
796.000
49
2075.023981.67
1037.55
1990.83
091.745
1327.22
518.856 995.417
415.131
796.333
50
2075.973983.33
1038.02
1991.67
692.060
1327.78
519.C9.;
995.833
415.320
796.667
51
2076.91 3985.00
1038.49
1992.50
692.375
1328.33
519.3-29
996.250
41 5. 509 j 797. 000
53
2077. 80 3986. 67
1038.97
1993.33
692.691
1328.89:519.505
996.667
415 G98
797.333
53
2078. 80 13988. 33
1039.44
1994.17
093.006
1329. 44!519. 801
997.083
415.888
797.007
54
2079. 75 13990. 00 11039. 91
1995.00
693.321
1330.00520.038
997.500
416.077
798.000
55
2080.603991.671040.39
1995.83
693 636
1330.50520.274
997.917
416.260
798.333
56
2081.643993.831048.86
1996.67
093.951
1331.11 520.511
998.833
416.455
798.667
57
2082.583995.001041.33
1997.50
694.266
1331.67520.747
998.750
416.644
799.000
58
J083. 53 3996. 07 104 1.80
1998.33
694.581
1332.22520.983
999.167
416.833
799.333
59 12081. 4813998. 33; 1045. 28
1999.17694.897
1332.78521.220
999.583
417.022
799.667
124
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
30°
Tan.
Arc.
Tan.
Arc.
Tan.
253.826
Arc.
Tan.
Arc.
Tan.
Arc.
390".000
M.
O
338.310
650. OUO
290.031
557.143
487.500
225.670
433.333
203.155
838.473
050.278
2<J0.166
557.381
253.944
487.708
225.775
433.519
203.250
390.167
1
338.63!
050 . 550
290.302
557.619
254.003
487.917
225.880
433.704
203 344
390.333
2
338. 78-1
050.833
290.433
557.857
254.177
488.125
225.982
433.889
203.436
390.500
3
338.937
051.111
290.564
558.095
254.292
488.333
226.084
434 074
203.528
390.607
4
339.094
051.389
290.699
558.333
254.410
488.542
226.189
434.259
203.623
390.833
5
339.25'J
051.667
290.834
558.571
254.529
488.750
220.295
434.444
203.717
391.000
6
339.409
051.944
290.969
558.810
254.64?
488.958
226.400
434.630
203.812
391.167
7
339.507
652.222
291.104
559.048
254.705
489.107
226.505
434.815
203.907
391.333
8
339.725
652.500
291.239
559.286
254.883
489.375
226.610
435.000
204.001
391.500
9
339.882
652.778
291.375
559.524
255.002
489.583
226.715
435.185
204.096
391.667
10
340.035
653.056
291.500
559.762
255.110
489.792
226.817
435.370
204.188
391.833
11
340.188
653.333
291.637
560.000
255.231
4'JO.OOO
220.919
435.556
204.279
392.000
13
340.346
053.611
291.772
560.238
255.349
490.208
227.024
435.741
^04.374
392.167
13
340.503
653.889
291.907
560.476
255.408
490.417
227.129
435.926
204.469
392.333
14
340.661
054.167
292.042
560.714
255.580
490.625
227.235
436.111
204.563
392.500
15
3-10.819
654.444
292.177
560.952
255.704
490.833
227.340
436.296
204.658
392.66?
16
310.976
654.722
292/312
501.190
255.822
491.042
227.445
436.481
204.753
392.833
17
341.134
655.000
292.447
561 .429
255.941
491.250
227.550
436.607
204.847
393.000
18
341.292
655.278
292.583
561.667
256.059
491.458
227.655
436.852
204.942
393.16?
19
341.449
655.556
292.718
561.905
256.177
491.667
227.760
437.037
205.037
393.333
20
341.602
655.833
292.849
562.143
256.292
491.875
227.862
437.222
^05.129
393.500
21
341.755
650.111
292.980
562.381
256.406
492.083
227.964
437.407
205.220
393.66?
22
341.913
050 . 389
293.115
562.619
256.525
492.292
228.009
437.593
205.315
393.833
23
342.070
056.607
293.250
562 857
256.043
492.500
228.174
437.778
205.410
394.000
24
342.228
056.944
293.385
563.095
256.761
492.708
228.280
437.903
205.504
394.167
25
342.385
657.222
293.520
503.333
256.880 492.917
228.385
438.148
205.599
394.333
26
342.543
657.500
293.655
563.571
256.998
493.125
228.490
438.333
205.694
394.500
27
342.701
657.778
293.791
563.810
257.116
45)3.333
228.595
438.519
-^05.788
394.667
28
342.858
658.050
293.926
564.048
257.234
493.542
228.700
438.704
205.883
394.833
29
343.016
658.333
294.061
564.286
257.353
493.750
228.805
438.889
205.978
395.000
3O
343.174
058.011
294.196
564.524
257.471
493.958
228.911
439.074
206.072
395.167
31
343.331
658.889
294.331
564.762
257.589
494.167
229.016
439.251)
206.167
395.333
32
343.484
659.167
294.462
565.000
257.704
494.375
229.118
439.444
200.259
395.500
33
343.637
659.444
294.593
565.238
257.819
494.583
229.220
439.630
206.351
395.607
34
343.795
059.722
294.728
565.47'6
257.937
494.792
229.325
439.815
206.445
395. £83
35
343.952
660.000
294.864
565.714
258.055
495.000
229.430
440.000
206.540
396.000
36
344.110
660.278
294.999
565.952
258.173
495.208
229.535
4-'0.l85
206.634
396.167
31*
344.268
660.556
295.134
566.190
258.292
495.417
229.640
•140.370
206.729
396.333
38
344.425
660.833
295.269
566.429
258.410
495.625
229.745
440.556
206.824
396.500
39
314.583
661.111
295.404
566.667
258.528
495.833
229.850
440.741
206.918
396.667
40
344.740
661.389
295.539
560.905
258. 646 |496. 042
229.956
440.926
207.013
396.833
41
344.898
661.667
295.674
507.143
258. 765 1 496. 250
230.061
441.111
207.108
397.000
42
345.056
661.944
295.809
567.381
258.883496.458
230.166
441.290
207.202
397.167
43
345.213
662.222
295.945
567.619
259.001 496.667
230.271
441.481
-,'07.297
397.338
44
345.371
662.500
296.080
567.857
259. 120 : 496. 875
230.376
441.667
207.392
397.500
45
345.529
062.778
296.215
568.095
259.238
497.083
230.481
441 852
207.486
397.667
40
345.681
603.056
296.346
568.333
•,'59.352
497.292
230.583
442.03?
207.578
397.83*
47
345.834
063.333
296.477
568.571 259.467
497.500
230.685
442 222
207.670
398.000
48
345.992
063.611
296.612
568.810
259.585
497.708
230.790
442.407
207.765
398.167
49
346.150
063.889
296.747
569.048
259.704
497.917
230.896
442.593
207.859
398.333
50
340.307
004.167
296.882
569. 286 '• 259. 822
498.125
231.001
442.778
207.954
398.500
51
340.40'*
064.444
297.018
569.524
259.940
498.333
231.100
442.963
208.049
398.667
52
846.033
•M4.7-32
297.153
569.762
260.058
498.542
231.211
443.148
208.143
398.833
53
340.780
0(55.000
297.288
570.000260.177
498.750
231.316
443.333
208.238
399.000
54
340.938
005. 2T8
297.423
570.238260.295
498.958
231.421
443.519
208.333
399.167
55
347. 095
005.550
297.558
570.476 260.413499.167
231.527
443.704
208.427
399.333
56
347.263
C05. 833
297.693
570.714260.532499.375
231.632
443.889
208.522
399.500
57
347.411 IGOG. in
297.828
570. 952! 260. 650 499. 583
231.737
444.074
208.617
399.607
58
347.5081660.389
297.964
571.190i28Q.768 499.792
231.842
444.259
208.711
399.833
59
135
TABLE XIV. — ACTUAL TANGENTS, ETC.
40°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~~O~
Tan.
Arc.
Tan. j Arc.
Tan. Arc.
6957212 1333.33
Tan.
521.456
Arc.
TbooToo
Tan. | Arc.
417.212800.000
.3085.424000.00
1042.75:2000.00
1
J086.874001.67
043.222000.83
695.527 1333.89
521.693
1000.42
417.401 800.333
2
2087.31 4003.33
1043.692001.67
695.8421334.44
521.929
1000.83
417.590800.007
3
2088.264005.00
1044.17
2002.50
696.157 1335.00
522.165
1001.25
417.779801.000
4
3089.204006.67
1044.64
2003.33
690.472 1335.56
522.402
1001.67
417.908801.333
5
20U0.154008.33
1045.11
2004.17
696.788 1336.11
522.038
1002.08
418.157801.607
6
2091.094010.00
1045.58
2005.00
697.103 1336.67
523.875
1002.50
418.346 802.000
7
2092.0414011.67
1046.06
2005.83
697 418 1337.22
523.111
1002.92
418.535802.333
8
2092.984013.33
1046 53
2006.67
697.733 1337.78
523.347
1003.33
418.725802.067
9
3093.93
4015.00
1047.00
2007.50
098.048
1338.33
523.584
1003.75
418.914803.000
1O
2094.87
4016.67
1047.48
2008.33
698.363
1338.89
523.820
1004.17
419.103803.333
11
3095.82
4018.33
W47.95
2009.17
698.679
1339.44
524.057
1004.58
419.292803.067
12
3096.77
4020.00
1048.42
2010.00
698.994
1340.00
524.293
1005.00
419.481 804.000
13
3097.71
4031.67
1048.89
3010.83
699.309
1340.56
524.529
1005.42
419.670804.333
14
30!)8.66
4023.33
1049.37
3011.67
699.624
1341.11
524.766
1005.83
419.859804.667
15
3099.60
4025.00
1049.84
2012.50
699.939
1341.67
525.002
1006.25
420.049805.000
16
'100.55
4026.67
1050.31
2013.33
700.254
1342.22
525. 23S
1006.67
420.238805.333
17
3101.49
4028.33
1050.78
2014.17
700.570
1348.78
525.475
1007.08
420.427805.667
IS
310-3.44
4030.00
1051.26
2015.00
700.885
1343.33
525.711
1007.50
420.616806.000
19
3103.3S
4031.67
1051.73
3015.83
701.200
1343.89
525.948
1007.92
490.806 806.888
2O
3104.33
4033.33
1052.20
2016.67
701.515
1344.44
526.184
1008.33
420.994806.667
21
2105.27
4035.00
1052.68
2017.50
701.830
1345.00
526.420
1008.75
421.183807.000
22
3106.22
403(3.6;
1053.15
2018.33
702.145
1345.56
526.657
1009.17
421.373
807.333
23
3107.16
4038.33
1053.62
3019.17
702.401
1346.11
526.893
1009.58
421.562
807.607
24
3108.11
4040.00
1054.09
2020.00
703.776
1346.67
527.130
1010.00
421.751
808.000
25
3109.06
4041.67
1054.57
3030.83
703.091
1347.22
527.866
1010.42
421.940
808.333
26
3110 00
4043.33
1055.04
2021.67
703.406
1347.78
527.602
1010.83
422.129
808 667
27
3110.95
4045.00
I0».5l
2022.50
703.721
1348.33
527.839
1011.25
422.318
809.000
28
2111.89
4046.67
1055.98
2023.33
704.036
1348.89
528.075
1011.67
422.507
809.333
29
3112.84
4048.33
1056.46
2024.17
704.352
1349.44
528.312
1012.08
422.690
809.667
30
2113.78
4050.00
1056.93
2025.00
704.667
1350.00
528.548
1012.50
422.886
810.000
31
2114.73
4051.67
1057.40
2025.83
704.982
1350.56
528.784
101 2. 9-,
423.075
810.333
32
2115.67
4053. 3 3
1057.88
2026.67
705.297
1351.11
529 021
1013.3°
423.264
810.667
33
2116.62
4055.00
1058.35
2037.50
705.612
13)1.87
529.257
1013.75
423.453
811:000
34
2117.56
4056.6;
1058.82
2028.33
705.927
1352.22
529.494
1014.17
423.642
811.333
35
2118.51
4058.33
1059.29
2029.17
706.243
1352.78
529.730
1014.58
423.831
811.667
36
2119.45
4060.00
1059.77
203). 00
706.558
1353.33
529.960
1015.00
424 020
812.000
37
2120.40
4061.6;
1060.24
2030.83
706.873
1353.89
530.203
1015.42
424.210
P. 12. 333
38
2121.35
4063.33
1060.71
2031.67
707.188
1354.44
530.439
1015.83
424.399
812.667
39
2122.29
4065.00
1061.18
2032.50
707.503
1355.00
530.676
1016.25
424.588
813.000
4O
2123.24
4066.67
1061.66
2033.33
707.818
1355.56
530.912
1016.67
424.777
813.333
41
2124.18
4068.33
1062.13
2034.17
708.134
1356.11
531.148
1017.08
424.966
813.667
42
2125.13
4070.00
10*32.60
2035.00
708.449
1356.67
531.385
1017.50
425.155
814.000
43
3126.07
4071.6;
1063.08
20,35.83
708.764
1357.2-3
531.621
1017.92
425.344
814.333
44
2127.02
4073.3
tO"3.55
2036.67
709.079
1357.78
531.858
1018.33
425.534
814.607
45
2127.99
4075. 0(
1064.04
2037.50
709.404
1358.33
532.101
1018.75
425.728815.000
46
2128.97
4076.67
1064.52
2038.33
709.728
1358.89
532.345
1019.17
425.923815.333
47
2129.91
4078.3-1
1064.99
2039.17
710. 044(1359. 44
532.581
1019.58
426.112815.667
48
3130.86
4080.01
1065.47
2040.00
71 0.359; 1360. 0(
532.817
1020.00
426. 302! 81 6. 000
49
2131.80
4081.67
1065.94
2040.83
710.674 1360.56
533.054
1020.42
426.491
816.333
50
2132.75
4083.. 33
1066.41
2011.67
710.989 1361.11
533.290
1020.83
426.680
816 667
51
2133.69
4085. 0(
1066.89
2012.50
711.304
13(31.67
533 527
1021.25
426.809817.000
52
2134.64
4086.67
1067.36
2043.33
711 619
1862.22
533.763
1021.67
427. 058 SI 7. 333
53
2135.58
4088.33
1067.83
2044.17
711.935
1363.78
533.999
1023.08
427.247
817.007
54
2136.53
4090. 0(
1068.302045.00
712.250
1363.33
534.236
1022.50
427.430
818.000
55
3137 47
4091.67
1068.782045.83
712.565
1303.89
534.472(1022 9-3
427.625
818.333
5(>
2138.42
4093.33
1069.252040.67
712.880
1304.44
534.709
1023.33427.815
818.607
57
2139.37
4095.00
1069.722047.50
713 195
1305.00
534.945
1023.754-38.004
819.000
58
2140.31
4096.67
1070.19,2048.33
713.510
1305.56
535.181
1024.174-38.193
819.333
59
2141.26
4098.33
1070. 67 j 2049. 17
713.8261366.11
535.418 1024.58.428.382
819.667
126
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
4O°
3l7
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
347.726
666.667298.099
571.429
260 . 886 500 . 000 '231 . 947
444 . 444 208 - 806 400 . 000
o
347.884
666. 944 298. 234s 57 1.667
261.005 500. 208 '232. 052
444.630120* 901|400.167
1
348.041
667.222 298.869 571. 905
261.123500.417232.157
444. 815! 20^ 995400.333
2
348.199
667. 500 298. 504 1 572. 143
261.241 500.625232.263
445.000 20£ .090 400.500
3
348.357
667.778298.639
572.381
261.359500 833:232.368
445.185j20lM85400.667
4
348.514
668.056298.774
572.619
261.478 501.042
232.473
445 . 370 20S . 279 400 . 833
5
348.672
668.333298.909
572.857
261.596501.250
232.578
445.556
209.374401.000
6
348.829
668.611:299.045
573.095
261.714501.458
232.683
445.741
209. 4691401. 167
7
348.987
668.889299.180573.333
261.833501.667
232.788
445.926
209.563
401.333
8
349.145
669.167
299.315
573.571
261.951
501.875
232.893
446.111
209.658
401.500
9
349.302
669.444
299.450
573.810
262.069
502.083
232.999
446.296
209.752
401.667
10
349.460
669. 722 299. 5&5
574.048
262.187502.292
233.104
446. 481 1209. 847
401.833
11
349.618
670.000299.720
574 286
262.306 502.500
233.209
446.667
209.942
402.000
13
349.775
670. 278 i 299. 855
574.524
262.424 502.708
233. 31 4 1446.852
210.036
402.167
13
349.933
670.556299.991
574.762
262 542 502.917
233.419
447.037
210.131
402.333
14
350.091
670. 833 1 300. 126
575.000
262.660503.125
233.524
447.222
210.226
402.500
15
350.248
671.1 Hi 300. 261
575.238
262.779:503.333
233.630
447.407
210.320
402.667
16
350.406
671.389300.396
575.476
262. 897 |503.542
233.735
447.593
210.415
402.833
17
350.563
671.667300.531
575.714
263.015 503.750
233.840
447.778
210.510
403.000
18
350.721
671.944
300.666
575.952
263.133
503.958
233.945
447.963
210.604
403.167
19
350.879
672.222
300.801
576.190
263.252
504.167
234.050
448.148
210.699
403.333
2O
351.036
672.500
300.937
576.429
263.3;OJ504.375
234.155
448.333
210.794
403.500
31
351.194
672.778
301.072
576.667
263.488
504.583
234.260
448.519
210.888
403.667
22
351.. 352
673.056
301.207
576.905
263.607
504.792
234.366
448.704
210.983
403.833
23
351. 509
673.333
301.342
577.143
263.725
505.000
234.471
448.889
211.078
404.000
24
351.667
673.611
301.477
577.381
263.843
'505.208
234.57'6
449.074
211.172
404.167
25
351.825
673.889
301.612
577.619
263.961
505.417
234.681
449.259
211.267
404.333
26
351.982
674.167
301.747
577.857
264.080
505.625
234.786
449.444
211.362
404.500
21
352.140
674.444
301.883
578.095
264.198
505.833
234.891
449.630
211.456
404.667
28
352.297
674.722
302.018
578.333
264.316
506.042
234.996
449.815
211.551
404.833
29
352.455
675.000
302.153
578.571
264.434
506.250
235.102
450.000
211.646
405.000
3O
862.613
675.278
302.288
578.810
264.553
506.458
2a5.207
450.185
211.740
405.167
31
352.770
675.556
302.423
579.048
264.671
506.667
235.312
450.370
211.835
405.333
32
852.928
675.833
302.558
579.286
264.789
506.875
235.417
450.556
211.930
405.500
33
b53.086
676.111
302.693
579.524
264.908
507.083
235.522
450.741
212.024
405.667
34
353.243
676.389
302.828
579.762
265.026
507.292
235.627
450.926
212.119
405.833
35
353.401
676.667
302 964
580.000
265.144
507.500
235.732
451.111
212.214
406.000
36
863.559
676.944
303.099
580.238
265.262
507.708
235.838
451.296
212.308
406.167
37
353.716
677.222
303.234
580.476
265.381
507.917
235.943
451.481
212.403
406.333
38
353.874
677.500
303.369
580.714
265.499
508.125
236.048
451.667
212.498
406.500
39
354.031
677.778
303 504
580.952
265.617
508.333
236.153
451.852
212.592
406.667
40
354.189(678.056
303.639
581.190
265.735
508.542
236.258
452.037
212.687
406.833
41
354.347
678.333
303.774
581.429
265.854
508.750
236.363
452 222
212.782
407.000
42
354.504
678.611
303.910
581.667
265.972
508.958
236.469
452.407
212.876
407.167
43
354.662678.889
304 045
581.905
266.090
509.167
236.574
452.593
212.971
407.333
44
354.824679.167304.184
582.143
266.212
509.375
236.682
452.778
213.068
407.500
45
354.987679.444304 323
582.381
266.334
509. 5&3
236.790
452.963
213.168
407.667
46
355. 144 ! 679. 722 304. 458
582 619
266.452509.792
236.896
453.148
213.261
407.833
47
355 . 302 680 . 000 304 . 593
582.857
266. 570 !510. 000
237.001
453.333
213.355
408.000
48
355.460
680.278
304.729
583.095
266.689
510.208
237.106
453.519
213.450
408.167
49
355.617
680.556
304.864
583.333
266.807
510.417
237.211
453.704
213.545
408.333
50
355 . 775 680 . 833 304 . 909
583.571
266.925510.625
237.316
453.889
213.639408.500
51
355.933681.111
805.134:583.810
267.044510.883
237.421
454.074
21 3. 734 '408. 667
52
356.090681.389305.269
584.048
267.162
511.042
237.526
454.259
213.829408.833
53
356. 248 681. 6671305. 404
584.286
267.280
511.250
237.632
454.444
213 923409.000
54
356.406681.944305.53!)
584.524
267.398
511.458
•-'37.737
454.630
214.018 409.167
55
356 . 563 682 . 222 305 . (>75
584.762
267.517
511.667
237.842
454.815
214.113409.333
56
356.721 682. 500 305. H 10
585.000
267.635
511.875
237.947
155.000
214.207409.500
57
356 . 878 682 . 778 305 . 945
5S5.238
267.753
512.083
238.052
455.185
214.302409.667
58
357.036:683.056306.080
585.476
267.871
512.292
238.157
455.370
214.397409.833
59
127
TABLE XIV. — ACTUAL TANGENTS, ETC.
41°
1ST
1° Curve.
2° Carve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O [2142.20
4100.00
10n. 14 2050.00; 714. 141
1366.67
535.654
1025.00
428.571
820.000
1 12143.18
4101.671071.632050.83
714.465
1367. 22
535 . 898 i 1 025 . 42 428 . 766
820.333
2 2144.15
4103.331072.11
2051.67
714.790
1367.78
536.141
1025.83
428.961
820.667
3
2145.10
4105.00
1072.59
-,'052.50
715.105
1368.33
536.378
1026.25
429.150
821.000
4
2146.04
4106.67
1073.06
2053.33
715.420
1368.89
536.614
1026.67
429.339
821.333
5
2146.99
4108.33
10?3.53
2054.1?
715.736
1369.44
536.850
1027.08
429.528
821.6(57
6
2147.93
4110.00
1074.00
2055.00
716.051
1370.00
537.087
1027.50
429.71?
8-J2.000
7
2148.88
4111.6?
1074.48
2055.83
716.366
1370.56
537.323
1027.92
429.907
822.333
8
2149.82
4113.33
1074.95
2056.67
716.681
1371.11
537.560
1028.33
430.0%
822.667
9
2150.7?
4115.00
1075.42
2057.50
716.996
1371.6?
537.796
1028. 7'5
430.285
823.000
10
2151.71
1116.6?
1075.90
2058.33
717.311
1372.22
538.032
1029.17
430.474
823.333
11
2152.69
4118.33
1076.38
2059.17
717.636
1372.78
538.276
1029.58
130.669
823.667
13
2153 66
4120.00
1076.87
•-'060.00
717.961
1373.33
538.520
1030.00
4:10.864
824 000
13
2154.61
4121.67
1077.34
2060.83
718.276
1373.89
538.756
1030.4:3
331.053
824.333
14
2155.55
4123.33
1077.8-'
2061. 6 r
718.591
1374.41
538.992
1030.83
431.242
824.667
15
2156.50
4125.00
1078.29
2062.50
718.906
1375.00
539.22!)
1031.25
431.431
825.000
16
2157.44
412(5.67
1078.76
2063.33
719.222
1375.56
539.465
1031.6?
431.620
825.333
17
2158.3',)
4128.33
1079.23
2064.1?
719.53?
1376.11
539.701
1032.08
431.809
825.667
18
2159.33
4130.00
1079.71
2065.00
719.852
1376.67
539 938
1032.50
431.999
826.000
19
2160.28
1131.67
1080.18
^065.83
720.167
1377.22
540.17'4
1032.92
432.188
826.333
20
2161.22
4133.33
1080.65
2066.67
720.482
1377.78
540.411
1033.33
432.37?
826.667
81
2162.20
4135.00
1081.14
2067.50
720.80?
1378 33
510.654
1033.75
432.572
8-,'7.000
22
2163.17
4136.6?
1081.63
2068.33
721.132
1378.89
540. 80S
1034.1?
432.767
827. 333
23
2164.12
4138.33
1082.10
2069.1?
721.44?
1379.44
541.134
1031.58
432.956
827.667
24
2165.06
4140.00
1082.5?
2070.00
721.762
1380.00
541.371
1035.00
433.145
828.000
25
2166.01
4141.67
1083.04
2070.83
722.077
1380.56
541.607
1035.42
433.334
828.333
26
2166.95
4143.33
1083.52
2071.67
722.392
1381.11
541.843
1035.83
433.523
828.667
2V
2167.90
4145.00
1083.99
2072.50
722.707
1381.6?
542.080
1036.25
433.712
829.000
28
2168.84
4146.6?
1084.46
2073.33
723.0:>3
1382.22
542.316
1036.6?
433.901
829.333
29
2169.82
4148.33
1084.95
2074.17
723.347
1382.78
542.560
1037.08
434.096
829.667
30
2170.79
4150.00
1085.44
2075.00
723 672
1383.33
542.803
1037.50
434.291
830.000
31
2171.74
4151.67
1085.91
2075.83
723.987
1383.89
543 010
1037.92
434.480
830.333
32 12172.68
4153.33
1086.38
2076.67
724.302
1384.44
543.276
1038.33
434.669
830.667
33 2173.63
4155.00
1086 85
2077.50
724.617
1385.00
543.512
1038.75
434.859
831.000
34
2174.57
4156.67
IU87.33
2078.33
724.933
1385.56
543.749
1039.17
435.048
831.333
35
2175.52
4158.33
1087.80
2079.17
725.248
1386.11
543.985
1039.58
435.237
831 . 667
36
2176.46
4160.00
1088.27
2080.00
725.563
1386.67
544.222
1040.00
435.426
832.000
37
2177.44
4161.67
1088.76
2080.83
725.888
1387.22
544.465
1040.42
435.621
832.333
38
2178.41
4163.33
1089.25
2081.6?
726.212
1387.78
544.709
1040.83
435.816
832.667
39
2179.36
4165.00
1089.72
2082.50
726.528
1388.33
544.945
1041.25
436.005
833.000
40
2180.30
4166.67
1090.19
2083.33
726.843
1388.89
545.182
104L67
436.194
833.333
41
2181.25
4168.33
1090.66
2084.17
727.158
1389.44
545.418
1042.08
436.383
833.667
43
2182.19
4170.00
1091.14
2085.00
727.473
1390.00
545.654
1042.50
436.572
834.000
43
2183.17
4171.67
1091.62
2085.83
727.798
1390.56
545.898
1042.92
436 767
834.333
44
2184.14
4173.33
1092.11
2086.67
728.122
1391.11
546.141
1043.33
436.962
834.667
45
2185.09
4175.00
1092.58
2087.50
728.438
1391.6?
546.378
1043.75
437.151
835.000
46
2186.03
4176.67
1093.062088.33
728.753
1392.22
546.614
1044.17
437.340
835.333
47
2186.98
4178.33
1093.53
2089.17
729.068
1392.78
546.851
1044.58
437.529
835.667
48
2187.92
4180.00
1094.00
2090.00729.383
1393.33
547.08?
1045.00
437.718
836.000
49
2188.90
4181.67
1094.49
2090.83
729.708
1393.89
547.331
1045.42
437.913
836.333
50
2189.87
4183.33
1094.98
2091.67
730.033
1394.44
547.574
1045.83
438.108
836.667
51
2190.82
4185.00
1095.45
2092.50730.348
1395.00
547.811
1046.25438.297
837.000
52
2191.76
4186.67
1095.92
2093.33730.663
1395.56
548.047
1046. 6?! 438. 486
837.333
53
2192.71
4188.33
1096.39
2094.17730.978
1396.11
548 283
1047.081438.676
837.667
54
2193.65
4190.00
1096.87
2095.00731.293
1396.67
548.520
1047.50438.865
838.000
55
2194.63
4191.67
1097.35
2095.83731.618
1397.22
548.763
1047. 921439. 060
a38.333
56
2195.60
4193.33
1097.84
2096.67731.943
1397.78
549 00711048.33 439.254
838.667
57
2196.55
4195.00
1098.31
2097.50732.258
1398.33
549 . 243 1 048 . 75 439 . 444
839.000
58
59
2197.49
2198.44
4196.67
4198.33
1098.79
1099.26
2098.33 732.573
2099.17732.888
1398.89
1399.44
549. 480 1049. 17|439. 633
549. 71 6l 1049. 58! 439. 822
839. 333
839.667
128
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
41°
Tan.
Arc.
Tail.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
357.194
6837338
306.215
585.714
267. 990 1512.500
238^262
455.556
214.491
410.000
0
357.356
683.611
306.354
585.952
268.112
512.708
238.371
455.741
214.589
410.167
1
357.519
683.889
306.494
586.190
268.233
512.917
238.479
455.926
214.686
410.333
2
357.676
684.167
306.629
586.429
268.352
513.125
238.584
456.111
214.781
410.500
3
357.834
684.444
306.764
586.667
268 470
513.333
238.689
456.296
214.876
410.667
4
357.991
684.722
306.899
586.905
268.588
513.542
238.795
456.481
214.970
410.833
5
358.149
685.000
307.034
587.143
268.706
518:750
238.900
456.667
215.065
411.000
6
358.307
685.278
307.169
587.381
268.825
513.958
239.005
456.852
215.160
411.167
7
358.464
685.556
307.304
587.619
268.943
514.167
239.110
457.037
215.254
411.333
8
358.622
685.833
307.440
587.857
269.061
514.375
239.215
457.222
215.349
411.500
9
358.780
686.111
307.575
588.095
269.180
514.583
239.320
457.407
215.443
411.667
10
358.942
686.389
307.714
588.338
269.301
514.7'J2
239.429
457.593
215.541
411.833
11
359.104
686.667
307.853
588.571
269.423
515 000
239.537
457.778
215.639
412.000
12
359.262
686.944
307.988
588.810
269.541
515.208
239.642
457.963
215.733
412.167
13
359.420
687.222
308.123
589.048
269.660
515.417
239.747
458.148
215.828
412.333
14
359.577
687.500
308.259
589.286
269.778
515.625
239.852
458.333
215.923
412.500
15
359.735
687.778
308.394
589 524
269.89(5
515.833
239.958
458.519
216.017
412.667
16
359.893
688.056
308.529
589.762
270.015
516.042
240.063
458.704
216.112
412.833
17
360.050
688.333
308.664
590.000
270.133
516.250
240.168
45*. 889
216.207
413.000
18
360.208
688.611
308.799
590.238
270.251
516.458
240.273
459.074
216.301
413.167
19
360. 36G
688.889
308.934
590.476
270.369
516.667
240.378
459.259
216.396
413.338
2O
360.528
689.167
309.074
590.714
270.491
516.875
240.487
459.444
216.493
413.500
21
360.690
689.444
309.213
590.95*
270.613
517.083
240.595
459.630
216.591
413.667
22
360.848
689.722
309.348
591.190
270.731
517.292
240.700
459.815
216.686
413.838
23
361.006
690.000
309.483
591.429
270.850
517.5HO
240.805
460.000
216.780
414.000
24
361.163
690.278
309.618
591.667
270.968
517.708
240.910
460.185
216.875
414.167
25
361.321
690.556
309.753
591.905
271.086
517.917
241.015
460.370
216.970
414.333
2G
361.479
690.833
309-888
592.143
271.204
518.125
241.121
460.556
217.064
414.500
27
361.636
691.111
310.024
592.381
271 323
518.333
241.226
460.741
217.159
414.667
28
361.799
691.389
310.163
592.619
271.445
518.542
241.334
460.926
217.256
414 833
29
361.961
691.667
310.302
592.857
271.566
518.750
241.442
461.111
217.354
415.000
3O
362.119
691.944
310.437
593.095
271.685
518.958
241.548
461.296
217.449
415.167
31
362.276
692.222
310.572
593.338
271.803
519.167
241.653
461.481
217.543
415.333
32
362.434
692.500
310.707
593..'. 71
271.921
519.375
241.758
461.667
217.638
415.500
33
362.592
692.778
310 843
593.810
•272.039
519.583
241.863
461.852
217.733
415.667
34
362.749
693.056
310.978
594.048
272.158
519.792
241.968
462.037
217.827
415.833
35
362.907
693.333
311.113
594.286
272.276
520.000
242.073
402.222
217.922
416.000
36
363.069
693.611
311.252
594.524
272.398
520.208
242.182
462.407
218.019
416.167
37
363.232
693.889
311.391
594.762
272.520
520.417
242.290
462.593
218.117
416.383
38
363.389
694.167
311.526
595.000
272.638
520.625
242.395
462.778
218.212
416.500
39
363.547
694.444
311.662
595.238
272.756
520.833
242.500
462.963
218.306
416.667
40
363.705
694.722
311.797
595.476
272.876
521.042
242.605
463.148
218.401
416.833
41
363.862
695.000
311.932
595.714
272.993
521.250
24-2.711
463.333
218.496
417.000
42
364.025
695.278
312.071
595.952
273.115
521.458
242.819
463.519
218.593
417.167
43
364.187
695.556
312.210
596.190
273.236
5-21.667
242 927
463.704
218.691
417.338
44
364.345
695.833
312.346
596.429
273.355
521.875
243.032
463 889
218.785
417.500
45
364.502
696.111
312.481
596.667
5*78.473
522.083
243.138
464.074
218 880
417.667
46
364.660
696.389
312.616
596.905
273.591
522. V92
243 243
464.259
218.975
4 17. 880
47
364 818
696.667
312.751
597.148
273.710
52-2.500
243.348
464.444
219.069
418.000
48
364.980
696.944
312.890
597.381
273.831
522.708
243.456
464.630
219.167
418.167
49
365.142
697.222
313.029
597.619
273.953
522.917
243.565
464.815
219.264
418.333
50
365.300
(597.500
813.165
597.857
274.072
5-23.125
243.670
465.000
•219.359
418.500
51
365.458
697.778
313.300
508.09?
274.190
523.333
243.775
4(55.185
219.454
418.667
52
365.615
698.05(5
313.435
598.333
274.308
523.542
243.880
465.370
219.548
418.838
53
365.778
698.333
313.570
598.571
274.426
523.750
243.985
465.556
219.643
419.000
54
365.935
698.611
813.709
598.810
374.548
523.958
244.093
465.741
219.740
419.167
55
866.098
698.889
313. 84K
599.048
274.670
524 . 1 67
244.202
465.926
219.888
419.338
56
366.255
699.167
318.984
599.286
274.788
524.375
244.307
466.111
219.933
419.500
57
366.413
699.444
314.119
599.524
274.907
524.583
244 412
466.296
220.027
419.667
58
366.571
699.722
314.254
599.762
275.025
524 792244.517
466.481
220.122
419.833
59
'139
TABLE XIV. — ACTUAL TANGENTS, ETC.
43°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tail.
Arc.
Tan.
Arc.
Tan.
Arc.
~0~
2199.38
4200.1.0
1099.73
2100.00
733.203
1400.00
549 952
10:0.00
440.011
840.000
1
2200.36
4-201.67
1100.2-2
2100.83
733.528
1400.50
550.196
1050.4-2
440.200
840.333
3
2201.33
4203.33
1100.71
V101.67
733.8f,3
1401.11
550.439
1050.83
440.401
840.607
3
2-202.28
4205.00
1101.18
2102.50
734.108
1401.07
550.670
1051.25
440.590
841.000
4
2203.22
4206.67
1101.65
2103.33
734.483
1402.22
550.912
1051.67
440.779
841.333
5
2-204.20
4208.33
1102.14
2104.1?
734.808
1402. 7b
551.150
1052.08
440.974
841.667
6
2205.1?
4210.00
1102.63
2105.00
735.132
1403.33
551.399
1052.50
441.169
842.000
7
2206.12
4211.67
1103.10
2105.83
735.448
1403.89
551.630
1052.92
441. 3E8
842.333
8
2207.06
4213.33
1103.57
2106.67
535.763
14'»4.44
551.872
1053.33
441.547
842.667
9
2208.01
4215.00
1104.04
2107.50
736.078
1405.00
552.109
1053.75
441.736
843.000
1O
2208.95
4216.67
1104.52
2108.33
736.393
1405.56
552.345
1054.1?
441.925
843.333
11
2209.93
4218.33
1105.00
2109.1?
730.7181406.11
552.589
1054.58
442.120
843.667
13
2210.90
4220.00
1105.49
2110.00
737.0431406.67
552.832
1055.00
442.315
844.000
13
2211.85
4221.6?
1105.96
2110.83
i 37.3581407. 22
553.068
1055.42
442.504
844.333
14
2212.79
4223.33
1106.44
2111.67
737.6731407.78
553.305
1055.83
442.693
844.607
15
2213.76
4225.00
1106.92
2112.50
737.998 1408.33
553.548
1056.25
142.888
845.000
16
2214.74
4226.67
1107.41
2113.33
738.322:1408.89
553.792
1056.67
4 43. (.83
845.333
17
2215.68
4228.33
1107.88
2114.17
738.03? 1409.44
554.028
1057.08
443.272
845.607
18
2216.63
4230.00
1108.36
2115.00
733 9531410.00
554.205
1057.50
443.461
846.000
19
2217.60
4231.67
1108.84
2115.83
739.277
1410.50
554.508
1057.92
443.656
846.333
20
2218.58
4233.33
1109.33
2116.6?
739 602
1411.11
554.752
1058.33
443.851
846.667
21
2219.52
4235.00
1109.80
2117.50
739.9171411.6?
554.988
1058.75
444.040
847.000
22
2220.47
4236.67
1110.27
2118.33
740.2321412.22
555.225
1059.1?
444.229
847.333
23
2221.41
4238.33
1110.75
2119.17
740.548
1412.78
555.461
1059.58
444.418
847.667
24
2222.36
4240.00
1111.22
2120.00
740.803
1413.33
555.697
1060.00
444.608
848.000
25
2223.33
4241.6?
1111.71
2120.83
741.187
1413.89
555.941
1000.42
444.802
848.333
36
2224 31
4243.33
1112.19
2121.67
741.512
1414.44
556.185
1060.83
444.997
848.667
37
2225.25
4245.00
1112.6?
2122.50
741.827
1415.00
556.421
1061.25
445.186
849.000
38
2226.20
4246.6?
1113.14
2123.33
742.142
1415.56
556.657
1061.67
445.376
849.333
39
2227.1?
4248.33
1113.63
2124.17
742.467
1416.11
556.901
1062.08
445.570
849.667
30
2228.15
4250.00
1114.11
2125.00
742.792
1416.67
557.144
1062.50
445.765
850.000
31
2229.09
4251.6?
1114.59
2125.83
743.107
1417.22
557.381
1062.92
445.955
850.333
33
2230.04
4253.33
1115.06
2126.6?
7'43.422
1417.78
557.617
1063.33
446.144
850.667
33
2231.01
4255.00
1115.55
2127.50
743.747
1418.33
557.861
1063.75
446.339
851.000
34
2231.99
4256.67
1116. as
2128.33
744.072
1418.89
558.104
1064.17
446 533
851.333
35
2232.93
4258.33
1116.51
2129.17
744 387
1419.44
558.341
1064.58
446.723
851.667
36
2233.88
4200.00
1116.98
2130.00
744.702
1420.00
558.577
1065.00
446.912
852.000
37
2234.85
4261.6?
1117.4?
•2130.83
745.027
1420.56
558.821
1065.4-2
447.107
852.333
38
2235.82
4263.33
1117.95
2131.6?
745.351
1421.11
559.064
1065.83
447.301
852.667
39
2236.7?
4265.00
1118.43
•213-2.50
745.667
1421.67
559.301
1066.25
447.491
853.000
40
2237.71
4266.67
1118.90
2133.33
745.982
1422.22
559.537
1066.67
447.680
853.333
41
2-238.69
4268.33
1119.39
2134.17
746.306
1422.78
559.781
1067.08
447.875
853.667
43
2239.66
4270.00
1119.87
2135.00
746.631
1423. 33
500.024
1067.50
448.069
854.000
43
2240.61
4271.67
1120.35
2135.83
746.946
1423.89
560.261
1067.92
448.259
854.333
44 -2241.55
4273.33
1120.82
2136.67
747.261
1424.44
560.49?
1068.33
448.448
854.667
45
2242.53
4-275.00
1121.30
•2137.50
747.586
1425.00
560.741
1068.75
448.643
855.000
46
2243.50
4276. G7
1121.79
2138.33
747.911
1425.56
560.984
1069.17
448.837
855.333
47
2244 48
4278.33
1122 28
2139.17
748.236
1426.11
561.228
1069.58
449.032
855.667
48
2-245. 4r>
4280.00
1122 77
2140.00
748.560
1426.6?
561.471
1070.00
449.227
856.000
49
•2246.40
4281.67
1123^24
•2140.83
748.876
1427.22
561.708
1070.42
449.416
856.333
5O
2247.34
4283.33
1123.71
2141.67
749.191
1427.78
561.944
1070.83
449.605
856.667
51
2248.31
4285.00
11-24.20
2142.50
749.515
1428.33
562.188
1071.25
449.800
857.000
53 2249.2*
4286.07
1124.69
•2143.33
749.840
1428.89
562.431
1071.67
449.995
857.333
53 .2250.23
4288.33
1125.1(1
2144.17
750.155
14-29.44
562 OOS
1072.08
450.184
857.667
54 ' -2-251. 18
4290.00
1125.63
•2145.00
750.470
1430.00
50-2.904
107-2.50
450.373
£58.000
55 ;y25:2.i5
4291.67
1126.12
2145.83
750.795
1430.50
503.1 47
107-2.92
450 51 '8
858.333
56 2. '53. 13
4293.33
1126.61
2146.67
751.120
1431.11
503.391
1073.33
450.7H3
858.667
57 2-254.07
4295.00
1127.08
2147.50
7 5 1.435 '143 1.0?
5C3.0-2?
1073.75
450.95-2
859.00)
58 2 .'55. 0:2
4296:67
1127.55
2148.33
751.7501432.22
503.801
1074.1?
451.141
859.333
59 2-255.99
4298.33
1128.04
2149.1?
752. 075 11432. 78
564. It--?
1074 58
451.336
859.007
130
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
42°
Tail. Arc.
Tan.
Arc. Tan.
Arc.
Tan .
Arc.
Tan.
Arc.
M.
366.728700.000
614 . 389 600 . 000 275 . 143 525 . 000
244. 622 j 466. 667
220.217
420.000
0
366.891 700.27'H
31 4 528 600 . 238 275 . 265 : 525 . 208
244.731
466.852
220.314
420.167
1
367.053
700.556
314.667600.476275.387
525.417
244.839
467.037
220.412
420.333
2
367. an
700.833
314. 8031600. 714 275. 505
525.625
244.944
467.222
220.506
420.500
3
367.368
701.111
314.938
600.952275.623
525.833
245.049
467.407
220.601
420.667
4
367.531
701.389
315.077
601.190275.745
526.042
245.158
467.593
220.698
420.833
5
367.693
701.667
315.216
601.429275.867
526.250
245.266
467.778
220.796
421.000
6
367.851
701.944
315.351
601.667! 275. 985
526.458
245.371
467.963
220.891
421.167
7
368.008
702.222
315.486
601.905
276.104
526.667
245.476
468.148
220.985
421.333
8
368.166
7'02.500
315.622
602.143
276.222
526.875
245.582
468.333
221.080
421.500
9
368.324
702.778
315.757
602.381
276.340
527.083
245.687
468.519
221.175
421.667
10
368.486
703.056
315.896
602.619
276.462
527.292
245.795
468.704
221.272
421.833
11
368.649
703.333
316.035
602.857
276.584
527.500
245.903
468.889
221 .370
422.000
12
368.806
703.611
316.170
603.095
276.702
527.708
246.008
469.074
221.464
422.167
13
368.964
703.889
316.305
603.333
276.820
527.917
246.114
469.259
221.559
422. 333
14
369.126
704.167
316.445
603.571
276.942
528.125
246.222
469.444
221.657
422.500
15
369.289
704.444
316.584
603.810
277.064
528.333
246.330
469.630
221.754
422.667
16
369.446
704.722
316.719
604.048
277.182
528.542
246.435
469.815
221.849
422.833
17
369.604
705.000
316.854
604.286
277.301
528.750
246.541
470.000
221.943
423.000
18
369.766
705.278
316.993
604.524
277.422
528.958
246.649
470.185
222.041
423.167
19
369.929
705.556
317.133
604.762
277.544
529.167
246.757
470.370
222.138
423.333
2O
370.086
705.833
317.268
605.000
277.663
529.375
246.862
470.556
222.233
423.500
21
370.244
706.111
317.403
605.238
277.781
529.583
246.968
470.741
222.328
423.667
22
370.402
706.389
317.538
605.476
277.899
529.792
247.073
470.926
222.422
423.833
23
370.559
706.667
317.673
605.714
278.017
530.000
247.178
471.111
222.517
424.000
24
370.722
7'06.944
317.812
605.952
278.139
530.208
247.286
471.296
222.615
421.167
25
370.884
707.222
317.952
606.190
278.261
530.417
247.395
471.481
222.712
424.333
26
371.042
707.500
318.087
606.429
278.379
530.625
247.500
471.667
222.807
424.500
27
871.199
707.778
318.222
606.667
278.498
530.833
247.605
471.852
222.901
424.667
28
371.362
708.056
318.361
606.905
278.620
531.042
247.713
472.037
222.999
424.833
29
371.524
708.333
318.500
607.143
278.741
531.250
247.822
472.222
223.097
425.000
3O
371.682
708.611
318.636
607.381
278.860
531.458
247.927
4V2.407
223.191
425.167
31
371.840
708.889
318.771
607.619
278.978
531.667
248.032
472.593
223.286
425.333
32
372.002
709.167
318.910
607.857
279.100
531.875
248.140
472.778
223.383
425.500
33
372.164
709.444
319.049
608.095
279.222
532.083
248.248
472.963
223.481
425.667
34
372.322
709.722
319.184
608.333
279.340
532.292
248.354
473.148
223.576
425.833
35
372.480
710.000
319.319
608.571
279.458
532.500
248.459
473.333
223.670
426.000
36
372.642
710.278
319.459
608.810
279.580
532.708
248.567
473.519
223.768
426.167
37
372.804
710.556
3 i 9. 598
609 048
279.702
532.917
248.675
473.7'04
•223.865
426.333
38
372.962
710.833
319.733
609.286
279.820
533.125
248.781
473.889
223.960
426.500
39
373.120
711.111
319.868
609.524
279.938
533.333
248 886
474.074
224.055
426.667
40
373.282
711.389
320.007
609.762
280.060
533.542
248.994
474.259
2-.M.152
426. 833
41
373.445
711.66;
320.147
610.000
280.182
533.750
249.102
474.444
224.250
427.000
42
373.602
711.944
320.282
610.238
280.300
533.958
249.208
474.630
224.344
427.167
43
373.760
712.222
320.417
610.476
280.419
534.167
249.313
474.815
224. 43S
427.333
44
373.922
712.500
320.556
610.714
280.540
534,375
249.421
475.000
224.536
427.500
45
374.085
712.778
320.695
610.952
280.662
534.583
249.529
475.185
224.634
427.667
46
374.247
713.056
320.835
611.190280.784
534.792
249.638
475.370
224.732
427.833
47
374.409
713.333
320.974
611.429280.906
535.000
249.746
475.556
224.829
428.000
48
374.567
713.611
321.109
611.667
281.024
535.208
249.851
475.741
224.924
428.167
49
374.725
713.889
321.244
611.905
281.143
535.417
249.956
475.926
225.018
428.333
50
374.887
714.167
321.383612.143281.264
535.625
250.065
476.111
225.116
428.500
51
375.050
714.444
321.523
612.38li281.386
535.833
250.173
476.296
225.213
428.667
52
o75.207
714.722
321.658
612.619281.505
536.042
250.278
476.481
225.308
428.833
53
375.365
715.0 0
321.793
612.857281.623
536.250
250.383
476.667
225.403
429.000
54
375.527715.278
321 932
613.095281.745
536.458
250.492
476.852
225.500
429.167
55
375. 090
715. ?56
322.071
613.333281.867
536.667
250.600
477.037
225.598
429.333
56
375.847
715.833
322.207
613.571 281.985
536.875
250.705
477.222
225.692
429.500
57
376.005
716.111
322.342
613.810282.103
537.083
250.810
477.407
225.787
429.667
58
376.167
716.389
322.481
614.048282.225
537.292
250.919
477.593
225.885
429. K33: .r;l>
131
TABLE XIV. — ACTUAL TANGENTS, ETC.
43°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
— f
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
2256.97
4300.00
1128.52
2150.00
"52.400
1433.33
364.351
1075.00
451.531
860.000
1
2257.94
4301.67
129.0!
2150.K3
"52.724
1433.89
564.594
1075.42
451.726
860.333
3
2258.91
4303.33
129 50
2151.67
753.049
1434.44
564.838
1075.83
451.921
860.667
3
2259.80
4305.00
129.97
2152.50
"53.364
1435.00
565.074
1076.25
452.110
861.000
4
2260.81
4306.67
130.44
2153.33
'53.679
1435.56
565.311
076.67
452.299
861.333
5
2261.78
4308.33
130.93
2154.17
754.004 1436.11
565.554
1077.08
452.494
861.667
6
22(52.75
4310.00
131.42
2155.00
"54.329 1436.67
565.798
1077.50
452.689
862.000
7
2263.73
4311.67
131.91
2155.83
"54.654 1437.22
566.041
1077.92
452.884
862.333
$
2264.70
4313.33
132.39
2156.67
"54.9781437.78
566.285
1078. &3
453.079
862.667
9
2265.65
4315.00
1132.86
2157.50
755.293
1438.33
566.521
1078.75
453.268
863.000
10
2266.59
4316.67
1133.34
2158.33
"55.609
1438.89
566.758
1079.17
453.457
863.333
11
2267.57
4318.33
1133.82
2159.17
"55.933 1439.44
567.001
1079.58
453.652
863.667
12
2268.54
1320.00
134.31
2160.00
56.258 1440.00
567.245
1080.00
453.847
864.000
13
2269.49
4321.67
1134.78
2160.83
756.573 1440.56
567.481
1080.42
454.036
864.333
14
2270.43
4323.33
135.26
2161.67
"56.8881441.11
567.718
1080.83
454.225
864.667
15
2271.4!
4325.00
1135.74
2162.50
"57.213 1441.67
367.965
1081.25
454.420
865.000
16
2272.38
4326.67
1136.23
21 63. ;33
57.538 1442.22
568.205
1081.67
454.615
865.333
17
2273.35
4328.33
1136.72
2164.17
"57.862
1442.78
368.448
1082.08
454.810
865.667
18
2274.33
4330.00
1137.21
2165.00
"58.187
1443.33
568.692
1082. 50 J455.004! 866. 000
19
2275.27
4331.67
1137.68
2165.83
'58.502
1443.89
568.928
1082.92
455.194
866.333
2O
2276.22
4333.33
138.15
2166.67
"58.817
1444.44
569.165
1083.33
455.383
866.667
31
2277.19
4335.00
1138.64
2167.50
"59.142 1445.00
569.408
1083.75
455.578
867.000
83
2278.17
4336.67
1139.12
2168.33
"59.46711445.56
569.652
1084.17
455.772
867.333
83
2279.14
4338.33
1139.61
2169.17
"59.792 1446 11
569.895
1084.58
455.967
867.667
34
2280.11
4310.00
1140.10
2170.00
760.116 1446.67
570.139
1085.00
456.162
868.000
35
2281.09
4341.67
1140.59
2170.83
"60.441 1447 22
570.383
1085.42
456.357
868.333
36
2282.06
4343.33
1141.07
2171.67
760.766 1447.78
570.626
1085.83
456.552
868.667
37
2283.01
4345.00
1141.55
2172.50
761.081 1448.33
570.862
1086.25
456.741
869.000
38
2283.95
4346.67
1142.02
2173.33
761.3961448.89
571.099
1086 67
456.930
869.333
39
2284.93
4348.33
1142.51
2174.17
761.721
1449.44
371.342
1087.08
457.125
869.667
30
2285.90
4350.00
1142.99
2175.00
762.046
1450 00
571.586
1087.50
457.320
870 000
31
2286.88
4351.67
1143.48
2175.83
762.370
1450.56
571.830
1087.92
457.515
870.333
33
2287.85
4353.33
1143.97
2176.67
762.695
1451.11
572.073
1088.33
457.710
870.667
33
2288.79
4355.00
1144.44
2177.50
763.010
1451.67
572.310
1088.75
457.899
871.000
34
2289 74
4356.67
1144.91
2178.33
763.325
1452.22
572.546
1089.17
458.088871.333
35
2290.71
4358.33
1145.40
2179.17
763.650
1452.78
572.789
1089.58
458.283
871.667
36
2291.69
4360.00
1145.89
2180.00
703.975
1453.33
573.033
1090.00
458.478
87'2.000
37
2292.66
4361.67
1146.37
2180.83
764.299
1453.89
573.277
1090.42
458 672
872.333
38
2293.64
4363.33
1146.86
•2181.67
764.624
1454.44
573.520
1090.83
458.867
872.667
39
2294.61
4365.00
1147.35
•2182.50
764.949
1455.00
573.764
1091.25
459.062
873.000
4O
2295.58
4366.67
1147.83
2183.33
765.274
1455.56
574.007
1091.67
459.257
873.333
41
2296.53
4368.33
1148.31
2184.17
765.589
1456.11
.374.244
1092. 08] 459. 446
873.667
48
2297.48
4370.00
1148.78
2185.00
765.904
1456.67
574.481
1092.50
459.635
874.000
43
2298.45
4371 67
1149.27
^185.83
766.229
1457.22
574.724
1092.92
459.830
87'4.333
44
2299.42
4373.33
1149.75
2186.67
766.553
1457.78
574.967
1093.33
460 025
874.667
45
2300.40
4375.00
1150.24
2187.50
766.878
1458.33
575 211
1093.75
460.220
875.000
46
2301.37
4376.67
1150.73
2188.33
767.203
1458.89
575.454
1094.17
460.415
875.333
47
2302.35
4378.33
1151.21
2189.17
767.527
1459.44
575.698
1094.58
460.610
875.667
48
2303.32
4380.00
1151.70
2190.00
767. &52 11460.00
575.941
1095.00
460.805
876.000
49
2304.29
4381.67
1152.19
2190.83
768.177
1460.56
576.185
1095.42
460.999
876.333
5O
2305.27
4383.33
1152.68
2191.67
768.502
1461.11
576.428
1095.83
461.194
876.667
51
2306.21
4385 00
1153.15
2192.50
768.817
1461.67
576.665
1096.25
461.383
877.000
2307.16
4386.67
1153.62
2193.33
769.132
1462.22
576.901
1096.67
461.573
877.333
53
2308.134388.3*3
1154.11
2194.17
769.457
1462.78
577.145
1097.08
461.767
877.667
54
2309.11 4390.00
1154.60
2195.00
769.781
1463.33
577.388
1097 50
461.962
878.000
55
231J.084391.67
1155.08
2195.83
770.106
1463.89
577.632
1097.92
462.157
878.333
56
2311.054393.33
1155.57
2196.67
770.431
1464.44
577.876
1098.?3
462.352
878.667
57
2312.034395.00
1156.06
2197.50
770.755
1465.00
57'8.119
1098.75
462.547
879.000
58
2313.004396.67
1156.54
2198.33
771.080
1465.56
578.363
1099.17
462.742
879.333
59
2313.984398.3;
1157.03
2199.17
771.4051 1466. 11 1578. 606
1099.58
462.937
879.667
132
TATVLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
43°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
870.330716.667
322.620614.286
282. 347 i 537. 500
251.027
477.778
225.982
430.000
0
376.492716.944
W2. 759 614. 524
282. 469 i 537. 708
251.135
477.963
226.080
430.167
1
376.655
717.222
322.899614.762
282.51)0537.917
251.244
478.148
226.177
430.333
2
376.812
717.500
J23.034 615.000
282. 709 1538.1 25
251.349
478.333
226.272
430.500
3
376.970
717.778
323. 169 61 5. 238
282.8271538.3:33
251.454
478.519
226.367
430.667
4
377.132
718.056
323.308
615.476
282.949538.542
251.562
478.704
226.464
430. sas
5
377.295
718.333
323.447
615.714
283.071
538.750
251.671
478.889
226.562
431.000
6
377.457
718.611
323.587
615.952
283.193
538.958
251.77'9
479.074
226.659
431.167
7
377.619
718.889
323.726
616.190
283 314
539.167
251.887
479.259
226.757
431.333
8
377.777
719.167
323.861
616.429
283.433
539.375
251.992
479.444
226.851
431.500
9
377.935
719.444
323.996
616.667
283.551
539.583
252.098
479.630
226.946
431.667
10
378.097
719.722
324.135
616.905
283.673
539.792
252.206
479.815
227.044
431.833
11
378.260
720.000
324.275
617.143
283.795
540.000
252 314
480.000
227.141
432.000
12
378.417
720.278
324.410
617.381
283. 91 3
540.208
252.419
480.185
227.236
432.167
13
378.575
720.556
S24.545
617.619
284.031
540.417
252.525
480.370
227.330
432.333
14
378.737
720.833
324.684
617.857
284.153
540.625
252.633
480.556
227.428
432.500
15
378.900
721.111
324.823
618.095
284.275
540.833
252.741
480.741
227.525
432.667
16
379.062
721 . 389
'324.963
618.333
284.397
541.042
252.850
480.926
227.623
432.833
17
379.225
721.667
325.102
618.571
284.519
541.250
252.958
481.111
227.720
433.000
18
379.382
721.944
325.237
618.810
284.637
541.458
253.063
481.296
227.815
433.167
19
379.540
722 222
325.372
619.048
284.755
541.667
253.168
481.481
227.910
433.333
20
379.702
722 .'500
•325.511
619.286
284.877
541.875
253.277
481.667
228.007
433.500
21
379.865
722.778
325.650
619 524
284.999
542.083
253.385
481.852
228.105
433.667
22
380.027
723.056
325.790
619.762
285.121
5.42.292
253.493
482.037
228.202
433.833
23
380.189
723.333
325.929
620.000
285.243
542.500
253.602
482.222
228.300
434.000
24
380.352
723.611
326.068
620.238
285.364
542.708
253.710
482.407
228.397
434.167
25
380.514
723.889
326.207
620.476
285.486
542.017
253.818
482.593
228.495
434.333
2G
380.672
724.167
326.343
620.714
285.605
543.125
253.923
482.778
228.590
434.500
27
380.830
724.444
326.478
620.952
285.723
543.333
254.029
482.963
228.684
434.667
28
380.992
724.722
326.617
621.190
285.845
543.542
254.137
483.148
228.782
434.833
29
381.154
725.000
326.756
621.429
285.966
543.750
254.245
483.333
228.879
435.000
30
381.317
725.278
326.895
621.667
286. Oh8
543.958
254.354
483 519
228.977
435.167
31
381.479
725 556
327.035
621.905
286.210
544.167
254.462
483.704
229.074
435.333
32
381.637
725.833
327.170
622.143
286.328
544.375
254.567
483.889
229.169
435.500
33
381.794
726.111
327.305
622.381
286.447
544.583
254.672
484.074
229.264
435.667
34
381.957
726.389
327.444
622.619
286.569
544.792
254.780
484.259
229.361
435.833
35
883.119
726.667
327.583
622.857
286.690
545.000
254.889
484.444
229 459
436.000
36
382.282
726.944
327.723
623.095
286.812
545.208
254.997
484.630
229.556
436.167
37
382.444
727.222
327.862
623.333
286.9:34
545.417
255.106
484.815
229.654
436.333
38
382.607
727.500
328.001
623.571
287.056
545.625
255.214
485.000
229.751
436.500
39
382.769
727.778
328.140
623.810
287.178
545.833
255.322
485.185
229.849
436.667
4O
382.927
728.056
328.275
624.048
287.296
546.042
255.427
485.370
229.944
436.833
41
383.084
728.333
328.411
624.286
287.414
546.250
255.532
485.556
230.038
437.000
42
383.247
728.611
328.550
624.524
287.536
546.458
255.641
485.741
230.136
437.167
43
383.409
728.889
328 689
624.762
287.658
546.667
255.749
485.926
230.233
437.333
44
383.571
729.167
328.828
625.000
287.780
546.875
255.857
486.111
230.331
437.500
45
383.734
729.444
328.968
625.238
287.902
547.083
255.966
486.296
230.428
437.667
46
383.896
729.72v>
329.107
625.476
288.024
547.292
256.074
486.481
230. P26
437.833
47
384.059
730.000
329.246
625.714
288.146
547.500
256.182
486.667
230.623
438.000
48
384.221
730.278
329.385
625.952
288.267
547.708
256.291
486.852
230.721
438.167
49
384.384
730.556
329.524
626.190
288. 3S9
547.917
256.399
487.037
230.818
438.333
5O
384. 541 1730. 833
329.660
626.429
288.507
548.125
256.504
487.222
230.913
438.500
51
384.699731.111
329.795
626.667
288.626
548 333
256.609
487.407
231 .008
438.667
52
384.861
731.389
329.934
626.905
288.748
548.542
256.718
487.593
231.105
438.833
53
385.001
731.667
330.073
627.143
288.869
548.750
256.826
487.778
231.203
439.000
54
385.186
731.944
330.212
627.381
288.991
548.958
256.934
487.963
231.300
439.167
55
385.848
732.222
330.352
627.619
289.113
549.167
257.043
488.148
231.398
439.383
56
385.511
732.500
330.491
627.857
289.235
549.375
257.151
488.333
231.495
439.500
57
385.673
732.778
330.630
628.095
289.357549.583
257.259
488.519
231.593
439.667
58
385.836
733.056
330.769
628.333
289.479549.792
257.368
488.704
231.690
439.833
59
133
TABLE XIV. — ACTUAL TANGENTS, ETC.
440
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve-
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc. Tan.
Arc.
<)
2314.95
4400.00
1157.52
2200.00771.730
1466.67
578.850
1100.00463.132880.000
1
•>315.90
4401.67
1157.992200.83772.045
1467.22
579.086
1100.42463.321 880.333
2
2316.84
4403.33
1158.46
2201. 671772. 360
1467.78
579.323
1100.63463.510880.667
3
2317.82
4405.00
1158.95
2202.50772.685
1468. 33
579.566
1101.25463.705881.000
4
2318.79
4406.67
1159.44
2203.33
773.009
1468.89
579.810
1101. 67 ; 463. 900
881.333
5
2319.76
4408.33
1159.92
2204.17
773.334
1469.44580.053
1102.08:464.094
881.667
0
2320.74
4410.00
1160.41
2205.00
773.659
1470.00,580.297
1102. 50|464. 289
882.000
7
2321.71
4411.67
1160.90
2205.83
773.984
1470.56
580.540
1102.92,464.484
882.333
8
2322.60
4413.33
1161.39
2206. 67J 774. 308
1471.11
580.784
1103.33
464.679
882.667
9
•2323.66
4415.00
1161.87
2207.50
774.633
1471.67
581.027
1103.75
464.874
883.000
10
2324.63
4416.67
1162.36
2208.33
774.958
1472.22
581.271
1104.17
465.069
883.333
11
2325.61
4418.33
1162.85
2209.17
775.282
1472.78
581.515
1104.58
465.264
883.667
12
2326.58
4420.00
1163.33
2210.00
775.607
1473.33
581.758
1105.00
465.458
884.000
13
2327.56
4421.67
1163.82
2210.83
775.932
1473.89
582.002
1105.42
465.653
884.3:53
14
2328.53
4423.33
1164.31
2211.67
776.257
1474.44
582.245
1105.83465.848
884.667
15
2329.50
4425.00
1164.79
2212.50
776.581
1475.00
582.489
1106.25
466.043
885.000
16
2330.48
4426.67
1165.28
2213.33
776.906
1475.56
582.732
1106.67
466.238
885.333
17
3331.42
4428.33
1165.75
2214.17
777.221
1476.11
582.969
1107.08
466.427
885.667
18
2332.37
4430.00
1166.23
2215.00
777.536
1476.67
583.205
1107.50
466.616
886.000
19
2333.34
4431.67
1166.71
2215.83
777.861
1477.22
583.449
1107.92
466.811
886.333
20
2334.32
4433.33
1167.20
2216.67
778.186
1477.78
583.692
1108.33
467.006
886.667
21
2:335.29
4435.00
1167.69
2217.50
778.510
1478.33
583.936
1108.75
467.201
887.000
22
2336.26
4436.67
1168.18
2218.33
778.835
1478.89
584.179
1109.17
467.396
887.333
23
2337.24
4438.33
1168.66
2219.17
779.160
1479.44
584.423
1109.58
467.591
887.667
24
23:38.21
4440.00
1169.15
2220.00
779.485
1480.00
584.666
1110.00
467.785
888.000
25
2339.19
4441.67
1169.64
2220.83
779.809
1480.56
584.910
1110.42
467.980
888.333
26
2340.16
4443.33
1170.12
2221.67
780.134
1481.11
585.154
1110.83
468,175
888.667
27
2341.13
4445.00
1170.61
2222.50
780.459
1481.67
585.397
1111 25
468.370
889.000
28
2342.11
4446.67
1171.10
2223.33
780.783
1482.22
585.641
1111.67
468.565
889.333
29
2343.08
4448.33
1171.58
2224.17
781.108
1482.78
585.884
1112.08
468.760
889.667
3O
2344.06
4450.00
1172.07
2225.00
781.433
1483.33
586.128
1112.50
468.955
890.000
31
2345.03
4451.67
1172.56
2225.83
781.758
1483.89
586.371
1112.92
469.149
890.333
32
2346.01
4453.33
1173.05
2226.67
782.082
1484.44
586.615
1113.33
469.344
890.667
33
2346.98
4455.00
1173.53
2227.50
782.407
1485.00
586.858
1113.75
469.539
891.000
34
2347.95
4456.67
1174.02
2228.33
782.732
1485.56
587.102
1114.17
469.734
891.333
35
2348.93
4458.33
1174.51
2229.17
783.056
1486.11
587.346
1114.58
469.929
891.667
36
2319.90
4460.00
1174.99
2230.00
783.381
1486.67
587.589
1115.00
470.124
892.000
37
2350.88
4461.67
1175.48
2230.83
783.706
1487.22
587 833
1115.42
470.319
892.333
38
2351.85
4463.33
1175.97
2231.67
784.031
1487.78
588.076
1115.83
470.514
892.667
39
2352.82
4465.00
1176.45
2232.50
784.355
1488.33
588.320
1116.25
470.708
893.000
40
2353.80
4466.67
1176.94
2233.33
784.680
1488.89
588.563
1116.67
470.903
893.333
41
23o4.77
4468.33
1177.43
2234.17
785.005
1489.44
588.807
1117.08
471.098
893.667
42
2355.75
4470.00
1177.92
2235.00
785.329
1490.00
589.050
1117.50
471.293
894.000
43
2856.78
4471.67
1178.40
2235.83
785.654
1490.56
589.294
1117.92
471.488
894.333
44
2357.69
4473.33
1178.89
2236.67
785.979
1491.11
589.538
1118. as
471.683
894.667
45
2358.67
4475.00
1179.38
2237.50
786.304
1491.67
589.781
1118.75
471.878
895.000
46
2359.64
4476.67
1179.86
2238.35
786.628
1492.22
590.025
1119.17
472.072
895.333
47
2360.62
4478.33
1180.35
2239.17
786.953
1492.78
590.268
1119.58
472.267
895.667
48
23>>1.59
4480.00
1180.84
2240.00
787.278
1493.33
590.512
1120.00
472.462
896.000
49
2362.56
4481.67
1181.33
2240.83
787.602
1493.89
590.755
1120.42
472.657
896.333
50
2363.54
4483.33
1181.81
2241.67
787.927
1494.44
590.999
1120.83
472.852
896.667
51
2364.51
4485.00
1182.30
2242.50
788.252
1495.00
591.243
1121.25
473.047
897.000
52
2365.49
4486 67
1182.79
2243.33
788.577
1495.56
591.486
1121.67
473.242
897.333
53
2366.46
4488. 33
nas. 27
2244.17
788.901
1496.11
591.730
1122.08
473.437
897.667
54
2367.43
4490.00
1183.76
2245.00
789.226
1496.67
591.973
1122.50
473.631
898.000
55
2368.41
4491.67
1184.25
2245.83
789.551
1497.22
592.217
1122.92
473.826
898.333
56
2369.38
4493.33
1184.73
2246.67
789.875
1497.78
592.460
1123.33
474.021
S98.667
57
2370.36
4495.00
11&5.22
2247.50
790.200
1498.33
592.704
1123.75
474.216
899.000
58
2371.33
4496.67
1185.71
2248.33
790.525
1498.89
592.947
1124.17
474.411
899. aS3
59
2372.30
4498. a3
1186.20
2249.17
790.850
1499.44
593.191
1124.58
474.606
899.667
131
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
440
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
385.998
733.838
330.909
628.571
289.601
550.000
257.476
488.889
231.788
440.000
~o"
386.156
733. 611 1331.044
628.810
289.719550.208
257.581s 489. 074
281.888
440.10?
i
386.313
783.889
331.179
629.048
289.837
550.417
257. 686 1 489. 259
231.97?
440.338
<j
386.476
734.107
331.318
629.286
289.959
550.625
257.795489.444
232.075
440.500
3
386.638
734.444
331.457
629.524
290.081
550.833
257. 903 1 489. 630
232.172
440.667
4
386.801
734.722
331.59?
629.762
290.203
551.042
258.011
489.815
232.270
440.833
5
386.963
735.000
331.736
630.000
290.325
551.250
258.120
490.000
232 367
441.000
6
387.125
735.278
331.875
630.238
290.446
551.458
258.228
490.185
23:3.465
441.167
7
387.288
735.556
332.014
630.476
290.568
551.667
258.336
490.370
232.562
441.333
8
387.450
735.833
332.154
630.714
290.690
551.875
258.445
490.556
232.660
441.500
9
387.613
736.111
332.293
630.952
290.812
552.083
258.553
490.741
232.757
441.667
1O
387.775
736.389
332.432
631.190
290.934
552.292
258.661
490.926
232.855
441.833
11
387.937
736.667
332.571
631.429
291.056
552.500
258.770
491.111
232.953
442.000
13
388.100
736.944
332.710
631.667
291.177
552.708
258.878
491.296
233.050
442.167
13
388.262
7*7.2-22
332.850
631.905
291.299
552.917
258.986
491.481
233.148
442.3:33
14
388.425
737.500
332.989
632.143
291.421
553 125
259.095
491 667
233.245
442.500
15
388.587
737.778
333.128
632.381
291.543
553.333
259.203
491.852
233.343
442.667
16
388.745
738.056
333.263
632.619
291.661
553.542
259.308
492.037
233.437
442.833
17
388.902
738.333
333.398
632.857
291.780
553.750
259.413
492.222
233.532
443.000
18
389.065
738.611
333.538
633.095
291.901
553 958
259.522
492.407
233.629
443.167
19
389.227
738.889
333.677
633.333
292.023
554.167
259.630
492.593
233.727
443.333
2O
389.390
739.167
333.816
633.571
292.145
554 375
259.738
492.778
233.825
443.500
31
389.552
739.444
333.955
633.810
292.267
554.583
259.847
492.963
233.922
443.66?
22
389.714
739.722
334.095
634.048
292.389
554.792
259.955
493.148
£34.020
443.833
23
389.877
740.000
334.234
634.280
292.511
555.000
260.063
493.333
234.117
444.000
24
390.039
740.278
334.373
634.524
292.633
555.208
260.172
493.519
234.215
444.167
25
390.202
740.556
334.512
634.762
292 754
555.417
260.280
493.704
234.312
444.333
2G
390.364
740.833
334.652
635.000
292.876
555.625
260.388
493.889
2:34.410
444.500
37
390.527
741.111
334.791
635.238
292.998
555.833
260.497
494.074
234.507
444.66?
38
390.689
741.389
334.930
635.476
293.120
556.042
260.605
494.259
2^34.605
444.833
29
390 851
741.667
335.069
635.714
293.242
556.250
260.713
494.444
234.702
445.000
30
391.014
741.944
335.208
635.952
293.364
556.458
260.822
494.630
234.800
445.16?
31
391.176
742.22V
335.348
636.190
293.486
556.667
260.930
494.815
234.897
445.333
33
391.339
742.500
335.487
636.429
293.607
556.875
261 038
495.000
234.995
445.500
33
391.501
742.778
335.626
636 667
293.729
557 083
261.147
495.185
235.092
445.667
34
391.663
743.056
335.765
636.905
293.851
557.292
261.255
495.370
235.190
445.833
35
391.826
743.333
335.905
637.143
293.973
557.500
261.363
495.556
235.287
446.000
36
391. 9S8
743.611
336.044
637.381
294.095
557.708
261.472
495.741
235.385
446.167
37
392.151
743.889
336.183
637.619
294.217
558.917
261.580
495.926
235.482
446.333
38
392.313
744.167
336.322
637.857
294.338
558.125
261.688
496.111
235.580
446.500
39
392.475
744.444
336.462
638 095
294.460
558. 333
261.797
496.296
235.678
446.667
40
392.638
744.722
336.601
638.333
294.582
558.542
261.905
496.481
235.775
446.833
41
392.800
745.000
336.740
638.571
294.704
558.750
262.014
496.667
235.873
447.000
43
392.963
745.278
336.879
638.810
294.826
558 958
262.122
496.852
235.970
447.167
43
393.125
393.288
745.550
715.833
337.018
337.158
639.048
639.286
294.948
295.070
559.167
559.375
262.230
262.339
497.037
497.222
236.068
236.165
447.333
447.500
44
45
393.450
746.111
337.297
639 524
295.191
5.MK583
262.447
497.40?
236.263
447.667
46
393.612
7-16.389
337.436
639.762
295.313
559.792
262.555
497.593
236.360
447.833
47
393.775
746.667
347.575
640.000
295.435
500.000
262.664
497.778
236.458
448.000
48
393.937
746.944
337.715
640.238
295.557
560.208
262.772
497.963
236.555
448.167
49
394.100
747.222
337.854
640.476
295.679
560.417
262.880
498.148
236.653
448.333
50
394.262
747.500
337.993
640.714
295.80!
560.625
202.989
498.333
236.750
448 500
51
394.424
747.778
338.13.
640.952
295.923
500.833
203.097
498.519
236.848
448.667
53
394.587
748.056
338.272
641 190
296.044
501.042
203.205
498 704
236.945
448.833
53
394.749
748333
338.411
641.429
296.166
561.250
263.314
498.889
237.043
449.000
54
394.912
748.611
338.550
641.667
296.288
561.458
263.422
499.074
237.140
449 167
55
39.-,. 074
748.889
.338.6*9
641 . 905
296.410
561.667
263.530
499.259
237.238
449.333
56
395.237
749.167
338.8-29
642.143
296.532
561.875
263.639
499.444
237.336
449.500
57
395.399
749.444
338.968
642.381
296.654562.083
263.747
499.630
837.433
449.667
58
395.561
749.722
339.107
G42.619
296. 776 1562. 292
263.855
499.815
237.531
449.833
59
TABLE XIV.— ACTUAL TANGENTS, ETC.
45°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
o~
2373728
4500.00
1186.68
2250.00
791.174
1500.00
593.43o
1125.00
474.801
900.000
1
2374.25
4501.67
1187.17
2250.83
791.499
1500.56
593.678
1125.42
474.996
900.333
2
2375.23
4503.33
1187.66
2251.67
791.824
1501.11
593.922
1125.83
475.190
900.667
3
2376.23
4505.00
1188.16
2252.50
792.158
1501.67
594.172
1126.25
475.391
901.000
4
2377.23
4506.67
1188.66
2253.33
792.492
1502.22
594.423
1126.67
475.592
901.333
5
2378.21
4508.33
1189.15
2254.17
792.817
1502 78
594.667
1127.08
475.786901.667
6
2379.18
4510.00
1189.63
2255.00
793.142
1503.33
594.910
1127.50
475.981
902.000
7
2380.15
4511.67
1190.12
2255. 83
793.466 1503.89
595.154
1127.92
476.176902.333
8
2381.13
4513.33
1190.61
2256.67
793.791 1504.44
595.397
1128.33
476.371
902.667
9
2382.10
4515.00
1191.09
2257.50
794.116 1505.00
595.641
1128.75
476.566903.000
10
2383.08
4516.67
1191.58
2258.33
794.440
1505.56
595.884
1129.17
476.761 903 333
11
2384.05
4518.33
1192.07
2259.17
794.765
1506.11
596.128
1129.58
476.956903 667
12
2385.02
4520.00
1192.56
2260.00
795.090
1506.67
596.372
1130.00
477.151
904 . 000
13
2386.00
4521.67
1193.04
2260.83
795.415
1507.22
596.615
1130.42
477.345904.333
14
2386.97
4523.33
1193.53
2261.67
795.739
1507.78
596.859
1130.83
477.540
904.667
15
2387.95
4525.00
1194.02
2262.50
796.064
1508.33
597.102
1131.25
477.735905.000
16
2388.92
4526.67
1194.50
2263 33
796.389
1508.89
597.346
1131.67
477.930
905.333
17
2389.89
4528.33
1194.99
2264.17
796.713
1509.44
597.589
1132.08
478.125905.667
18
2390.87
4530.00
1195.48
2265.00
797.038
1510.00
597.833
1132.50
478.320
906.000
19
2391.87
4531.67
1195.98
2265.83
797.372
1510.56
598.084
1132.92
478.520
906.333
20
2392.87
4533 33
1196.48
2266.67
797.707
1511.11
598.334
1133.33
478.721
906.667
21
2393.85
4535.00
1196.97
2267.50
798.031
1511.67
598.578
1133.75
478.916
907.000
22
2394.82
4536.67
1197.45
2268.33
798.356
1512.22
598.821
1134.17
479.111
907.333
23
2395.80
4538.33
1197.94
2269.17
798.681
1512.78
599.065
1134.58
479.306907.667
24
2396.77
4510.00
1198.43
2270.00
799.006
1513.33
599.309
1135.00
479.500
908.000
25
2397.74
4541.67
1198 92
2270.83
799.330
1513.89
599.552
1135.42
479. 695 : 908. 333
26
2398.72
4543.33
1199.40
2271.67
799.655
1514.44
599.796
1135.83
479.890
908.667
27
2399.69
4545.00
1199.89
2272.50
799.980
1515.00
600.039
1136.25
480.0851909.000
28
2400.67
4546.67
1200.38
2273.33
800.304
1515.56
600.283
1136.67
480.280!909.333
29
2401.64
4548.33
1200.86
2274.17
800.629
1516.11
600.526
1137.08
480.475
909.667
30
2402.61
4550.00
1201.35
2275.00
800.954
1516.67
600.770
1137.50
480 670
910.000
31
2403.62
4551.67
1201.85
2275.83
801.288
1517.22
601.021
1137 92
480. 870^910. 333
32
2404.62
4553.33
1202.35
2276.67
801.622
1517.78
601.271
1138.33
481.071
910.667
33
2405.59
4555.00
1202.84
2277.50
801.947
1518.33
601.515
1138.75
481.2661911.000
34
2406.57
4556.67
1203.33
2278. a3
802.272
1518.89
601 . 758
1139.17
481.461
911.333
35
2407.54
4558.33
1203.81
2279.17
802.597
1519.44
602.002
1139.58
481.655
911.667
36
2108.52
4560.00
1204.30
2280.00
802.921
1520.00
602.246
1140.00
481.850912.000
37
2409.19
4561.67
1204.79
2280. as
803 246
1520.56
602.489
1140.42
482.045
912.333
38
2410.46
4563.33
1205.28
2281.67
803.571
1521.11
602.733
1140.83
482.240
912.667
39
2411.47
4565.00
1205.78
2282.50
803.905
1521.67
602.983
1141.25
482.441
913.000
40
2412.47
4566.67
1206.28
2283.33
804.239
1522.22
603.234
1141.67
4S2.641
913.333
41
2413.44
4568.33
1206.77
2284.17
H04.564
1522.78
603.478
1142.08
482.836
913.667
42
2414.42
4570.00
1207.25
2285.00
804.889
1523.33
603.721
1142.50
483.031
914.000
43
2415.39
4571.67
1207.74
2285.83
805 213
1523.89
603.965
1142.92
483.226
914.333
44
2416.37
4573.33
1208.23
2286.67
805.53S
1524.44
604.208
1143.33
483.421
914.667
45
2417.34
4575.00
1208.71
2287.50
805 863
1525.00
604.452
1143.75
483.616
915.000
46
2418.31
4576.67
1209.20
2288.33
806.187
1525.56
604.695
1144.17
483.810915.333
47
2119.32
4578.33
1209.70
2289.17
806.522
1526.11
604.946
1144.58
484.011
915.667
48
2120.32
4580.00
1210.20
2290.00
806.856
1526.67
605.197
1145.00
484.2121916.000
49
2421.29
4581.67
1210.69
2290.83
807.181
1527.22
605.440
1145.42
484.406
916.333
50
2422.27
4583.33
1211.18
2291.67
807.505
1527.78
605.684
1145.83
484.601
916 6G7
51
2423.24
4585.00
1211.66
2292.50
807.830
1528.33
605.928
1146.25
484.796
917.000
52
2424.21
4586.67
1212.15
2293.33
808.155
1528.89
606.171
1146.67
484.991
917.333
53
2425.22
4588.33
1212.65
2294.17
808.489
1529.44
606.422
1147.08
485.192917.667
54
2426.22
4590.00
1213.15
2295.00
808.823
1530 00
606.673
1147.50
485.392918.000
55
2427.19
4591.67
1213.64
2295.83
809.148
1530.56
606.916
1147.92
485.587
918. 333
56
2428.17
4593.33
1214.13
2296.67
809.473
1531 . 1 1
607.160
1148.33
485.782
918.667
57
2429.14
4595.00
1214.62
2297.50
809.798
1531.67
607.403
1148.75
485.977
919.000
58
2430.12
4596.67
1215.10
2298.33
810.122
1532.22
607.647
1149.17
486.172
919.333
59
2431.09
4598.33
1215.59
2299.17
810.447
1532.78
607.890
1149.58
486.367,919.667
136
TABLE XIV.— ACTUAL TANGENTS, ETC.
6* Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
45°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
M.
395.724
750.000
339.246
642.857
296.897
562.500 263.964 500.000
237.628
450.000
O
395.886
750.278
339.385
643.095
297.019
562.708264.072500.185
237.726
450.167
1
396.049
750.556
339.525
643.333
297.141
562.917
264.180
500.370
237.823
450.333
2
396.216
750.833
339.668
643.571
297.267
563.125
264.292
500.556
237.924
450.500
3
396.383
751.111
339.811
643.810
297.392
563.333
264.403
500.741
238.0, '4
450.667
4
396.545
751.389
339.951
644.048
297.514563.542
264.512
500.926
238.121
450.833
5
396.708
751.667
340 090644.286
297.636563.750
264.620
501.111
238.219
451.000
6
896.870
751.944
340.229644.524
297.758563.958
264.728
501.2%
238 317
451.167
7
397.033
752.222
340.368|644.762
297.879564.167
264.837
501.481
238.414
451.333
8
397.195
752.500
340.508
645.000
298.001
564.375
264.945
501.667
238.512
451.500
9
397.357
752.778
340.647
645.238
298.123
564.583
265.053
501.852
238.609
451.667
10
397.520
753.056
340.786
645.476
298. 245 1564.792
265.162
502.037
238.707
451.833
11
397.682
753.333
340.925
645.714
298. 367 i 565. tOO
265.270
502.222
238.804
452.000
12
397.845
753.611
341.064
645.952
298.489
565.208
265.378
502.407
238.902
452.167
13
398.007
753.889
341.204
646. 19U
298.610
565.417
265 487
502.593
238.999
452.333
14
398 170
754.167
341.343
646.429
298.732
565.625
265.595
502.778
239.097
452.500
15
398.332
754.444
341.482
646.667
298.854
565 833
265.703
502.963
239.194
452.667
16
398.494
754.722
341.621
646 905
298.976
566.042
265.812
503.148
239.29-2
452.833
17
398 . 657
755.000
341.761
647.143
299 098
566.250
265.920
503.333
•239.389
453.000
18
398.824
755.278
341.904
647.381
299.223
566.458
266.031
503.519
239.490
453.167
19
398.991
755.556
342.047
647.619
299.349
566. G67
266.143
503.704
239.590
453.333
20
399.154
755.833
342.186
647.857
299.471
566.875
266.251
503.889
239.688
453.500
21
399.316
756.111
342.326
648.095
299.592
567.083
266 360
504.074
239.785
453.667
22
399.478
756.389
342.465
648.333
299.714
567.292
266.468
504.259
239.883
453.833
23
399.641
756.667
342.604
648.571
299.836
567.500
266.576
504.444
239.980
454.000
24
399.803
756.944
342.743
648.810
299.958
567.708
266.685
504.630
240.078
454.167
25
399.966
757.222
342.883
649.048
300.080
567.917
266.793
504.815
240.175
454.333
26
400.128
757.500
343.022
649.286
300.202
568.125
266.901
505.000
240.273
454.500
37
400.290
757.778
343.161
049.524
300.324
568.333
267.010
505.185
240.370
454.667
38
400.453
758.056
343.300
649.762
300.445
568.542
267.118
505.370
240.468
454.833
29
400.615
758.333
343.440
650.000
300.567
568.750
267.226
505.556
240.565
455.000
SO
400.782
758.611
343.583
650.238
300.693
568.958
267.338
505.741
240.666
455.167
31
400.950
758.889
343.726
650.476
300.818
569.167
267.449
505.926
240.766
455.333
32
401.112
759.167
343.865
650.714
300.940
569.375
267.558
506. Ill
240.864
455.500
33
401.274
759.444
344.005
650.952
301.062
569.583
267.666
506.296
240.961
455.667
34
401.437
759.722
344.144
651.190
301.184
569.792
267.774
506.481
241.059
455.833
35
401.599
760.000
344 283
651.429
301.306
570.000
267.883
506.667
241.156
456.000
36
401.762
760.278
344.422
651.667
301.427
570.208
267.991
506.852
241.254
456.167
37
401.924
760.556
344.562
651.905
301.549
570.417
268.099
507.037
241.351
456.333
38
402.091
760.833
344.705
652.143
301.675
570.625
268.211
507.222
241.452
456.500
39
402.258
761.111
344.848
652.381
301.800
570.833
268.3'22
507.407
241.552
456.667
40
402.421
761.389
344.988
652.619
301.922
571.042
268.431
507.593
241.650
456.833
41
402.583
761 667
345.127
652.857
302.044
571.250
268.539
507.77'8
241.747
457.000
43
402.746
761.944
345.266
653.095
302.166
571.458
268.647
507.963
241.845
457.167
43
402.908
762.222
345.405
653.333
302.288
571.667
268 756
508.148
241.942
457.333
44
403.071
762.500
345.544
653.571
302.409
571.875
268.864
508.333
242.040
457.500
45
403. 233 ! 762. 778
345.684
653.810
302.531
572.083
268.972
508.519
242.137
457.667
46
403.400! 763 056
•345.827
654.048
302.657
572.292
2C9.084
508.704
242.238
457.833
47
403 567763.333
345.970
654. 28G
302.782
572.500
269.196
508.889
242.338
458.000
48
403.730
763.611
346.110
654.524
302.904
572.708
269.304
509.074
242.436
458.107
49
403.892
763.889
346.249
654.762
303.026
572.917
269.412
509.259
242.533
458.333
50
404.055764.167
346. 38S
655.000
303. 148 !573. 125
269.521
509.444
242.631
458.500
51
404.217764.444
346 . 527
655.238
303.270573.333
269.629
509.630
242.7'28
458.607
53
404.384
764.722346.671
655.476
303. 395 : 573. 542
269.740
509.815
242.829
458.833
53
404.551
765.000
346.814
655.714
303.520573.750
269.852
510.000
242.929
459.000
54
404.714
765.278
346.953
655.952
303.642573.958
269.960
510.185
243.026
459.167
55
404.876 765.556
347.092
656.190
303.764574.167
270.069
510.370
243.124
459.333 56
405.039 765.83^3
347.232
656.429
303.886574.375
270.177
510.556
243.222
459.500 57
405.201
766.111
347.371
656.667
304.008574 583
270.285
510.741
243.319
459.667 58
405.363
766.389
347.510
656.905
304.130574.792
270.394
510.926243.417
459.833| 59
137
TABLE XIV. — ACTUAL TANGENTS, ETC.
46°
1° Curve.
3° Curve.
3° Cvirve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
A re.
Tan.
Arc.
Tan.
Arc.
O
2433.06
4GOO.OO
1216.08
2300.00810.772 1533.33
608.134
1150.00
486.561
920.000
1
2433.07
4601.67
1216.58
2300.83811.106:1533.89
008.385
1150.42
486.762
920.333
2
2434.07
4603.33
1217.08
2301.67811.440
1534.44
608.635
1150.83
486.963
920.667
3
2435.04
4605.00
1217.57
2302.50811.765
1535.00
608.879
1151.25
487.158
921.000
4
2436.02
4606.67
1218.05
2303.33812.090
1535.56
609.122
1151.67
487.352
921.333
5
2437.02
4608.33
1218.56
2304.17
812.424
1536.11
609.373
1152.08
487.553
921.607
0
2438.02
4610.00
1219.06
2305.00
812.758
1536.67
009 . 624
1152.50
487.754
922.000
7
2439.00
4611.67
1219.54
2305.83
813.083
1537.22
00'.). 867
1152.92
487.948922.333
8
2439.97
4613.33
1220.03
2306.67
813.408
1537.78
(JlO.lll
1153.33
488.143922.607
9
2440.95
4615.00
1220.52
2307.50
813.732
1538.33
010.355
1153.75
488.338
923.000
1O
2441.92
4616.67
1221.00
2308.33
814 057
1538.89
610.598
1154.17
488.533
923.333
11
2442.92
4618.33
1221.51
2309.17
814.391
1539.44
010.849
1154.58
488.734
923.607
12
2443.92
4620.00
1222.01
2310.00
814.726
1540.00
611.100
1155.00
488.934
924.000
13
2444.90
4621.67
1222.49
2310.83
815.050
1540.56
611.343
1155.42
489.129
924.333
14
2445.87
4623.33
1222.98
2311.67
815.375
1541.11
611.587
1155.83
489 324
924.607
15
2446.85
4625.00
1223.47
2312.50
815.100
1541.67
611.830
1156.25
489.519
925.000
16
2447.82
4626.67
1223.96
2313.33
816.024
1542.22
612.074
1156.67
489.714
925.333
17
2448.82
4628.33
1224.46
2314.17
816.359
1542 78
612.325
1157.08
489.914
925.667
18
2449.83
4630.00
1224.96
2315.00
816.693
1543.33
612.575
1157.50
490.115
926.000
19
2450.80
4631.67
1225.45
2315.83
817.018
1543.89
612.819
1157.92
490.310
926.333
3O
2451.77
4633 33
1225.93
2316.67
817.342
1544.44
613.062
1158.33
490.505
926.667
31
2452.78
4635.00
1226.43
2317.50
817.677
1545.00
013.313
1158.75
490.705
927.000
22
2453.78
4636 67
1226.93
2318.33
818.011
1545.56
613.564
1159.17
490.906
927.333
23
2454.75
4638.33
1227.42
2319.17
818.336
1546.11
613.807
1159.58
491.101
927 . 007
34
2455.73
4640.00
1227.91
2320.00
818.660
1546.67
614.051
1160.00
491.296
928.000
35
2456.70
4641.67
1228.40
2320.83
818.985
1547.22
614.294
1160.42
491.490
928.333
36
2457.68
4643.33
1228.88
2321.67
819.310
1547.78
614.538
1100.83
491.685
928.607
37
2458.68
4645.00
1229.38
2322.50
819.644
1548.33
614.789
1161.25
491 . 880
929.000
38
2459.68
4646.67
1229.89
2323.33
819.978
1548.89
615.039
1161.67
492.081
929.333
39
2460.66
4648.33
1230.37
2324.17
820.303
1549.44
615.283
1162.08
492.281
929.667
30
2461.63
4650.00
1230.86
2325.00
820.628
1550.00
615.527
1162 50
492.476
930.000
31
2462 63
4651.67
1231.36
2325.83
820.962
1550.56
615. 777
1162.92
492.671
930.333
33
2463.63
4653.33
1231.86
2326.67
821.296
1551.11
616.028
11 03. 33
492.877
930.667
33
2464.61
4655.00
1232.35
2327.50
821.621
1551.67
616.272
1163.75
493.072
931.000
34
2465.58
4656.67
1232.84
2328.33
821.946
1552.22
616.515
1164.11
493.267
931.333
35
2466.59
4658.33
1233.34
23J9.17
822.280
1552.78
616.766
1164.58
493.468
931.667
36
2467.59
4660.00
1233.84
2330.00
822.614
1553.33
617.017
1165.00
493.668
932 000
37
2468.56
4661.67
1234.33
2330.83
822.939
1553.89
617.260
1165.42
493.863
932.333
38
2469.54
4663.33
1234.81
2331.67
823.264
1554.44
617.504
1165.83
494.058
932.007
39
2470.54
4665.00
1235.31
2332.50
823.598
1555.00
617.754
1166.25
494.259
933.000
40
2471.54
4666.67
1235.82
2333.33
823 932
1555.56
618.005
1166.67
494.459
933.333
41
2472.52
4668.33
1-^36.30
2334.17
824.257
1556.11
618.249
1167.08
494.654
933.667
43
24^8.49
4670.00
1236.79
2335.00
824.582
1556.61
618.492
1167.50
494.849
934.000
43
2474.49
4671.67
1237.29
2335. 83
824.916
1557.22
618.743
1167.92
495.050
934.333
44
2475.50
4673.33
1237.79
2336 67
825.250
1557. 7H
618.994
1168.33
495.250
934.667
45
2476.47
4675.00
1238.28
2337.50
825.575
1558.33
619.237
1168.75
495.445
935.000
46
2477.44
4676.67
1238.77
2338.33825.899
1558.89
619.481
1169.17
495.640
935.333
47
2478.45
4678.33
1239.27
2339. 1?| 826. 234
1559.44
619.732
1169.58
495.841
935.607
48
2479.45
4680.00
1239.77
2340.00826.568
1560.0(
619.982
1170.00
496.041
936.000
49
2480.42
4681.67
1240.26
2340.83
826.893
1560.56
620.226
1170.42
496.236
936.333
50
2481.40
4683.33
1240.74
2341.67
827.217
1561.11
620.469
1170.83
496.431
936.607
51
2482.40
4685.00
1241.25
2342.50
827.552
1561.67
620.720
1171.25
496.632
937.000
53
2483.40
4686.67
1241.75
2343.33 827.886
1562.22
620.971
1171.67
496.832
937.333
53
2484.40
4688.33
1242.25
3344. 17 '828.220
1562.78
621.222
1172.06
497.033
937.607
54
2485.41
4690.00
1242.75
2345.00828.555
1503.33
621.412
1172.50
497.233
938.000
55
2486.38
4691.67
1243.24
2345.83828.879
1563.89
621.716
1172.92
497.428
938. 3*3
56
2487.36
4693.33
1243.72
2346.67829.204
1564.44
621.959
1173.33
497 623
9.-S8.007
57
2488.36
4695.00
1244.22
2347. 50 1829.538
1565.00
622.210
1173.75
497.824
939.000
58
2489.36
4696.67
1244.73
2348.33829.872
1565.56
622.461
1174.11
498.024
939.333
59
2490.34
4698.33
1245 21
2349.17830.197
1566.11
622.704
1174.58
498.219
939.607
138
TABLE XIV. — ACTUAL, TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
46°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
IviT
405.526
766.667
347.649
657.143
304.252
575.000
270.502511,111
243.514
460.000
o
405.693
766.944
347.793
657.381
304.377
575.208
270.613511.296
243.615
460.167
i
405.860
767.222
•347.930
657.619
304.502
575.417
270.725511.481
243.715
460.333
2
406.023
767.500
348.075
657.857
304.624
575.625
270.833511.667
243.812
460.500
3
406.185
767.778
348.214
658.095
304.746
575.833
270. 942! 51 1.852
243.910
460.667
4
406.352
768.056
348.358
658.333
304.872
576.042
271.053512.037
244.010
460.833
5
406.519
768.333
348.501
658.571
304.997
576.250
271.165
512.222
244.111
461.000
6
406. G82
768.611
348.640
658.810
305.119
576.458
271.273
512.407
244.208
461.167
7
406.844
768.889
348.780
659.048
305.241
576.667
271.381
512.593
244.306
461.333
8
407.007
769.167
348.919
659.286
305.363
576.875
271.490
512.778
244.403
461.500
9
407.169
769.444
349.058
659.524
•305.484
577.083
271.598
512.963
244.501
461.667
10
407. ase
769.722
349.201
659.762
305 610 577.292
271.710
513.148
244.601
461.833
11
407.503
770.000
349.345
660.000
305.735
577.500
271.821
513.3:33
244.702
462.000
12
407.666
770.278
349.484
660.238
305.857
577.708
271.929
513.519
244.799
462.167
13
407.828
770.556
349.623
660.476
1305.979
577.917
272.038 513.704
244.897
462.333
14
407.991
770.833
349 762
660.714
306.101
578.125
272.146
513.889
244.994
462.500
15
408.153
771.111
349.902
660.952
306.223
578.333
272.254
514.074
245.092
462.667
16
408.320
771.389
350.045
661.190
306.348
578.542
272.366
514.259
245.192
462.8:33
17
408.488
771.667
350.188
661.429
306.474
578.750
272.477
514.444
245.293
463.000
18
408.650
771.944
350.328
661.667
306.595
578.958
272.586
514.630
245.390
463.167
19
408.812
772.222
350.467
661.905
306.717
579.167
272.694
514.815
245.488
463.333
20
408.980
772.500
350.610
662.143
306. 842 579 ."375
272.806
515.000
245.588
463.500
21
409.147
772.778
350.753
662.381
306. 968 579.583
272 917
515.185
245.688
463.667
22
409.309
409.472
773.056
773.333
350.893
351.032
(562.619
662.857
307.090579.792
307 212i580.000
273.026
273.134
515.370
515.556
245.786
245.883
463.833
464.000
23
24
409.634
773.611
351.171
663 095
307.334
580.208
273.242
515.741
245.981
464.167
25
409.796
773.889
351.310
663.333
307.456
580.417
273.351
515.926
246.079
464.333
26
409.964
774.167
351.454
663.571
307.581
580.625
273.462
516.111
246.179
464.500
27
410.131
774.444
351.597
663.810
307.706
580.833
273.574
516.296
246.279
464.667
28
410.293
774.722
351.730
664.048
307.828
581.042
273.682
516.481
246.377
464.833
29
410.456
775.000
351.876
664.286
307.950
581 .250
273.790
516.667
246.474
465.000
30
410.623
775.278
352.019
664.524
308.076
581.458
273 '.902
516.852
246.575
465.167
31
410.790
775.556
352.162
664.702
308.201
581.667
274.013
517.037
246.675
465.333
32
410.952
775.833
352.301
665.000
308.323
581 875
274.122
517.222
246.773
465.500
33
411.115
776.111
352.441
665.238
308.445
582.083
274.230
517.407
246.870
465.667
34
411.282
776.389
352.584
665.476
308.570
582 292
274.341
517.593
246 971
465.833
35
411.449
776.667
352.727
665.714
308 696
582.500
274.453
517.778
247.071
466.000
36
411.612
776.944
352.867
665.952
308.817
582.708
27'4.561
517.963
247,169
466.167
37
411.774
777.222
353.006
666.190
308.939
582.917
274.670
518.148
247.266
466.333
38
411.941
777.500
353.149
666.429
309.065
583.125
274.781
518.333
247.366
466.500
39
412.108
777.778
353.292
666.667
309.190
583.333
274.893
518.519
247.467
466.C67
40
412.271
778.056
353.432
666.905
309.312
583.542
275.001
518.704
247.564
466.8-33
41
412.433
778.333
453.571
667.143
309.434
583.750
27'5 109
518.889
247.662
467.000
42
412.600
778.611
353.714
667.381
309.559
583.958
^75.221
519.074
247.762
467.167
43
412.768
778.889
353. 858
667.619
309.685
584.167
275.332
519.259
247.863
467.333
44
412.930
779.167
353.997
667.857
309.807
584.375
275.441
519.444
247.960
467.500
45
413.092
779.444
354.136
668.095
309.928
584.583
275.549
519.630
248.058
467.667
46
413.260
779.722
354.279
668. 333
310.054
584.792
275.661
519.815
248.158
467.833
47
413.427
780.000
354.423
668.571
310.179
585.000
275.772
520.000
248.259
468.000
48
413.589
780.278
354.562
668.810
310.301
585.208
275.881
520.185
248.356
468.167
49
413.752
780.556
354.701
669.048
310.423
585.417
275.989
520 370
248.454
468.333
50
413.919
780.833
354.844
669.286
310.548
585. 62f
276.100
520.556
248.554
468.500
51
414 086
781.111
354.988
669.524
310.674
585.833
276.212
520.741
248.654
468.667
52
414.253
781.389
355.131
069.762
310.799586.042
276.323
520. 92f
248.755
468.833
53
414.420
781 667
355.274
070.000
310.925586.250
276.435
521.111
248.855
469.000
54
414.583
781.944
355.414
670.238
311.047586.458
276. 543 521. 29C
248.953
469.167
55
414.745
782.222
355.553
670.476
311.168586.667
276. 652 521. 4M
249.050
469.333
56
414 912
782.500
355.690
670.714
311.294586.875
276.763521.667
249.151
469.500
57
415.080
782. 778 1355. 840
670.952
311. 419 587. C&3
276.875521.852
249.251
469 667
58
415.242
783. 0561355. 979
671.190
311.541587.292
276.988522.087
249.349
469.833
59
TABLE XIV. — ACTUAL TANGENTS, ETC.
47°
1° Carve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Are.
Tan.
Arc.
Tan. Arc.
~~O"
249T731
4700.00
1245.70
2350.00
830.522
1566.67
622.948
1175.00
498.414940.000
1
2492.31
4701.67
1246.20
2350.83
830.856 1567.22
623.199
1175.42
498.615 940.333
2
2493.31
4703.33
1246.70
2351.67
831.190 1567.78
623.449
1175.83
498.815940.667
3
2494.29
4705.00
1247.19
2352.50
831.515 3568.33
623.693
1176.25
499.010941.000
4
2495.26
4706.67
1247.68
2353.33
831.840
1568.S9
623.935
1176.67
499.205941.333
5
2496.27
4708.33
1248.18
2354.17
832.174
1569.44
624.187
1177.08
499.406941.667
6
2497.27
4710.00
1248.68
2355.00
832.508
1570.00
6<!4.438
1177.50
499.606942.000
7
2498.27
4711.67
1249.18
2355.83
832.843
1570.56
624.689
1177.92
499.807942.333
8
2499.27
4713.33
1249.68
J356.67
833.177
1571.11
624.939
1178.33
500.007942.667
9
2500.25
4715.00
1250.17
2357.50
833.502
1571.67
625.183
1178.75
500.202
943.000
10
2501.22
4716.67
1250.66
2358.33
833.826
1572.22
625.426
1179.17
500.397
943.333
J 1
2.502.22
4718.33
1251.16
2359.17
834.161
1572.78
625.677
1179.58
500.598
943.667
12
2503.23
4720.00
1251.66
2360.00
834.495
1573.33
625.928
1180.00
500.798
944.000
13
2504.23
4721.67
1252.16
2360.83
834.829
1573.89
626.179
1180.42
500.999
944.333
14
2505.23
4723.33
1252.66
2361.67
8-35.103
1574.44
626.429
1180.83
501.199
944.667
15
2506.21
4725.00
1253.15
2362.50
835.488
1575.00
026.673
1181.25
501.394
945.000
16
2507 18
4726.67
1253.64
2363.33
835.813
1575.50
626.916
1181.67
501.589
945.333
17
2508.18
4728.33
1254.14
2364.1?
836.147
157d.ll
627.167
1182.08
501.790
945.667
18
2509.19
4730.00
1254.64
2365.00
836.481
1576.67
627.418
1182.50
501.990
946.000
19
2510.19
4731.67
1255.14
2365.83
836.816
1577.22
627.669
1182.92
502.191
946.333
20
2511.19
47'33.33
1255.64
2366.67
837.150
1577.78
627.919
1183.33
502.392
946.667
2 1
2512.17
4735.00
1256.13
2367.50
837.475
1578.33
628.163
1183.75
502.586
947.000
22
2513.14
4736.67
1256.62
2368.33
837.799
1578.89
628. 40(5
1184.17
502.781
947.333
23
2514.14
4738.33
1257.12
2369.17
838.134
1579.44
628.657
1184.58
:>02.982
947.667
24
2515.14
4740.00
1257.62
2370.00
838. 46S
1580.00
628.908
1185.00
503.183
948.000
25
2516.15
4741.67
1258.12
2370.83
838.802
1580.56
629.159
1185.42
503.383
948.333
26
2517.15
4743.33
1258.62
2371.67
839.136
1581.11
629.409
1185.83
503.584
948.667
27
2518.12
4745.00
1259.11
2372.50
839.461
1581.67
629.653
1186.25
503.779
949.000
28
2519.10
4746.67
1259.60
2373.33
839.78(5
1582.2:3
629.896
1186.67
503.973
949.333
29
2520.10
4748.33
1260.10
2374.17
840.120
1582.78
630.147
1187.08
504.174
949.667
30
2521.10
4750.00
1260.60
2375.00
840.454
1583.33
630.398
1187.50
504.375
950.000
31
2522.11
4751.67
1261.10
2375.83
840.789
1583.89
(530.649
1187.92
504.575
950.333
32
3523.11
4753.33
1261.60
2376.67
841.123
1584.44
630.899
1188.33
504.776
950.667
33
2524.11
4755.00
1262.10
2377.50
841.457
1585.00
631.150
1188.75
504.97(5
951.000
34
2525.11
4756.67
1262.60
2378.33
841.791
1585.56
631.401
1189.17
505.177
951.333
35
2526.09
4758.33
1263.09
2379.17
842.116
1586.11
631.644
1189.58
505.372
951.667
36
2527.06
4760.00
1263.58
2380.00
842.441
1586.67
631.888
1190.00
505.567
952.000
37
2528.06
4761.67
1264.08
2380.83
842.775
1587.22
632.139
1190.42
505.707
952.333
38
2529.07
4763.33
1264.58
2381.67
843.109
1587.78
632.389
1190.83
505.9(58
952.667
39
2530.07
4765.00
1265.08
2382.50
843.444
1588.33
632.640
1191.25
506.160
953.000
4O
2531.07
4766.67
1265.58
2383.33
843.778
1588.89
632.891
1191.67
506.369
953.333
41
2532.08
4768.33
1-256.08
2384.17
844.112
1589.44
633.142
1192.08
506.570
1)53.667
42
2533.08
4770.00J12G6 59
2385.00
844.446
1590.00
033.392
1192.50
506.770
954.000
43
2534.05
4771.67
1267.07
2385.83
844.771
1590.56
633.636
1192.92
506.965
954.333
44
2535.03
4773.33
1267.56
2386.67
845.096
1591.11
633.879
1193.33
507.160
954.0(57
45
2536.03
4775.00
1268.06
2387.50
845.430
1591.67
634.130
1193.75
507.361
955.000
46
&37.08
4776.67|1268.56
2388.33
845.764
1592.22
634. 881 11 194.1?
507.561
955.333
47
4538.03
4778.33H269.06
2389.17
846.099
1592.78
634.6321194.58
507.762
055.6(57
48
2539.04
4780.00 1269.57
2-390.00
846.433
1593.33
634.882 1195.00
507.963
956.000
49
2540.04
4781.67
1270.07
2390.83
846.767
1593.89
635.133
1195.42
508.163
J56.333
5O
2541.04
4783.33
1270.57
2391.67
847.101
1594.44
635.384
1195.83
508.364
956.667
51
2542.05
4785.00 1271.07
2392.50
847.436
1595.00
635.6341196.25
508 564
957.000
52
2543 . 05 4786 . 67 i 1 271 . 57 2393 . 33
847.770
1595.56
635.885 1196.67
508.765
)57.333
53
2544.02 4788.33 1272.06 2394.17
848. 095)1596. 11
036.129 1197.08
508. 9CO
957.667
54 sJ545.004790.00 1272.542395.00
848 419 '1596. 67
636.3721197.50
509.155
958.000
55
2546 . 00 ' 4791 . 67 1 273 . 05 2395 . 83
848.754 1597.22
636.6231197.92
509.355
958.333
56
53547.004793.33 1273.55 2396.67
849.0881597.78
636.8741198.33
509.556
958.667
57 ! 2548. 00 4795. 00 '1274 052397.50
849.422 1598.33
637.124 1198.75
509.756
K59.000
58 25 4 9 . 0 1 4796 . 67 1 274 . 55 2398 33
84 9. 75(5 1598.89
537.375 1199.17
509.957
959.333
59 2550. 01 14:98.33 1275.05 2399.17
850.091 1599.44
637.626 1199.58
510.158
J59.607
140
TABLE XIV. — ACTUAL TANGENTS, ETC.
G° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
47"
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
470.000
M.
~O~
415.404
783.333
356.118671.429
311.663
587.500
277.091
522.222
249.446
415.572
783.611
356.261 671.667
311.788
587.708
277.203
522.407
249.546
470.167
1
415.739
783.889
356.405671.905
311.914
587.917
277.314
522.593
249.647
470.333
2
415.901
784.167
356.544 672.143
312.036
588.125
277.423
522.778
249.744
470.500
3
416.004
784.444
356.683672.381
312.158
588.333
277.531
522.963
249.842
470.607
4
416.2-31
784.722
356.826672.619
312.283
588.542
277.643
523.148
249.942
470.833
5
416.398
785.000
356.970 672.857
312.409
588.750
277.754
523.333
250.043
471.000
0
416.565
785.278
357.113673.095
312.534
588.958
277.866
523.519
250.143
471.167
7
416.732
785.556
357.256 673.333
312.659
589.167
277.977
523.704
250.244
471.333
8
416.895
785.833
357.396
673.571
312.781
589.375
278.085
523.889
250.341
471.500
9
417.057
786.111
357.535
673.810
312.903
589.583
278.194
524.074
250.439
471 . 667
1O
417.224
786.389
357.678:674.048
313.029589.792
5578.306
524.259
250.539
471.833
11
417.392
786.667
357.822 674. 286
313.154590.000
278.417
524.444
250.639
472.000
1 2
417.559
786.944
357.965674.524
313.279590.208
278.528
524.630
250.740
472.167
13
417.726
787.222
358.108674.762
313.405590.417
278.640
524.815
250.840
472.333
14
417 888
787.500
358.247 675.000
3 1 3. 527 i 590 625
278.748
525.000
250.938
472.500
15
418.051
787.778
358.387 675.238
313.649590.833
278.857
525.185
251.035
472.667
10
418.218
788.056
358.5301675.476
313.774591.042
278.968
525.370
251.136
472.833
17
418.385
788.333
358.673
675.714
313.899591.250
279.080
525.556
251.230
473.000
18
418.552
788.611
358.817
675.952
314.025
591.458
279.191
525.741
251.336
473.167
19
418.720
788.889
358.960
676.190
314.150
591.667
279.303
525.926
251.437
473.333
2O
418.882
789.107
359 099
076.429
314.272
591.875
279.411
526.111
251.534
473.500
21
419.044
789.444
359.239
676.667
314.394
592.083
279.519
526.290
251.632
473.667
22
419.212
789 722
359.382
676.905
314.519
592.292
279.631
526.481
251.732
473.833
23
419.379
;9o ! ooo
359.525
677.143
314.645
592.500
279.742
526.667
251.833
474.000
24
419.546
790.278
359.668
677.381
314.770
592.708
27D.854
526.852
251.933
474.167
25
419.713
790.556
359.812
677.619
314.896i592 917
279.965
527.037
252.033
474.333
26
419.87(5
790.833
359.951
677.857
315.018
593.125
280.074
527.222
252.131
474.500
37
420.038
791.111
300.090
678.095
315.139
593.333
280.182
527.40;
252.228
474.667
28
420.205
791.389
360.234
678.333
315.265
593.542
280.294
527.593
252.329
474.833
29
420.372
791.667
360.377
678 571
315.390
593.750
280.405
527.778
252.429
475.000
30
420.539
791.944
360.520
678.810
315.516
593.958
280.517
527.963
252.530
475.167
31
420.707
792.222
360.664
679.048
315.641
594.167
280.628
528.148
252.630
475.333
32
420.874
792.500
360.807
679.286
315.767
594.375
280.740
528.333
252.730
475.500
33
421.011
792.778
360.950
679.524
315.892
594.583
280.851
528.519
252.831
475.667
34
421.203
793.056
361.089
679.762
316.014
594.792
280.960
528.704
252.928
475.833
35
421.300
793.333
361.229
680.000
316.136
595.000
281.068
528.889
253.020
476.000
36
421 . 533
793.611
361.372
680.238
316.261
595.208
281.179
529.074
253.126
476.167
37
421 . 700
793.889
361.515
680.476
316.387
595.417
281.291
529.259
253.227
476.333
38
421.867
794.167
361.659
680.714
316.512
595.625
281.402
529.444
253.327
476.500
39
422.035
794.444
361.802
680.952
316.638
595.833
281.514
529. 63P
253.428
476. 6G7
40
422.202
794.722
361.945
681.190
316.763
596.042
281.625
529.815
253.528
476.833
41
432.369
795.000
302.089
681.429
316.888
596.250
281.737
530.000
253.628
477.000
48
422.531
795.278
362.228
681.667
317.010
596.458
281.845
530.185
253.726
477.167
43
422.091
795.556
362.367
681.905
317.132
596.667
281.954
530.370
253.823
477.333
44
422.8611795.833
362.510
682.143
317.258
596.875
282.065
530.556
253.924
477.500
45
423.028 1 796. Ill
362.654
682.381
317.383
597.083
282.177
530.741
254.024
477.667
46
423. 195 796. 3S9
362.797
682.619
317.508597.292
282.288
530.926
254.125
477.833
47
423.363796.667
362.940
682 857
317.634597.500
282.400
531 111
254.225
478.000
48
423.530
796.944
363.084
683.095
317.759
597.708
282.511
531.296
254.325
478.167
49
423.097
797.222
363.227
683.333
317.885
597.917
282.623
531.481
254.426
478.333
50
423.861
797.500
363. 370 6K3. 571
318.010598.125
282.734
531.667
254.526
478.500
51
424.031
797.778363.514
683.810
318.136598.333
282.846
531.852254.627
478.667
53
424.194
798.050303.653684.048
318.257598.542
282.954
532.037
254.724
478.833
53
424.350
798 333363.7921684.286
318 379598.750
283.063
532.222
254.822
479.000
54
424.523
798 .611 363 936 684 . 524
318.505598.958
283.174
532.407
254.922
479.167
55
424.691
798. 889 364. 07 9 084. 7'02
318.630599.167
283.286
532.593
255.022
479.333
56
434.858
799.167364.222685.000
318.756599.375
283.397
532.778
255.123
479.500 57
425.025
799 444364.366685.238
318.881 599.588288.609
532.963
255.223
479.667 58
425.192
799.722364.509685.476
3 1 9 . 006 599 . 792 1 283 . 620
533.148
255.324
479.833' 59
141
TABLE XIV.— ACTUAL TANGENTS, ETC.
48°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
o
y.V>l Ul' 4800. 00
1275.55
2400.00
850 425
1600. 00 637. 877 ; 1200. 00
510.358
960.000
1
&53.01
4801.67
1276 05
2400.83
850.759
1600.50638.1271200.42
510.559
960.333
53
2553 02
4803.33
1276.56
2401.67
851.093
1001.11
038 378
1200.83
510.759
960.607
3
2554.02
4805.00
1277.06
2402.50
851.428
1001.67
638.029
1201.25
510.960
961.000
4
2555.02
4806.67
1277.56
2403.33
851.762
1002.22
038.879
1201.67
511.161
961.333
5
2556.00
4808.33
1278.05
2404.17
852.087
1602.78639.123
1202.08
511.356
961.607
(>
3556.97
4810.00
1278.53
•2405.00
852.411
1003.33
03'J.367
1202.50
511.550
962.000
7
•2557.97
4811.67
1279.03
2405.83
fe52.740
16H3.89
639.617
1202.92
511.751
962.333
8
2558.98
4813.33
1279.54
2406.67
853.080
1604.44
639.868
1203.33
511.952
962.607
9
2559.98
4815.00
1280.04
2407.50
853.414
1605.00
640.119
1203.75
512.152
963.000
10
2560.98
4816.67
1280.54
2408.33
853.748
1605.56
640.369
1204.17
512.353
963.333
11
2561 98
4818.33
1281.04
2409.17
854.083
1600 11
640.620
1204.58
512.553
963 007
13
3562.99
4820.00
1281.54
2410.00
854.417
1606.67
640.871
1205.00
512.754
904.000
13
3563.99
4821.67
1282.04
2410.83
854.751
1007.22
641 . 122
1205.42
512.955
964.333
14
2564.99
4823 33
1282.54
2411.67
855.086
1607.78
641.372
1205.83
513.155
964.607
15
2566.00
4825.00
1283.04
2412.50
855.420
1008.33641.623
1206.25
513.356
965.000
1.6
2567.00
4826.67
1283.55
2413.33
855.754
1008.89
641.874
1206.67
513.556
965.333
17
2568.00
4828.33
1284.05
2414.17
856.088
1609. 441642. 124
1207.08
513.757
905.067
18
2569.00
4830 00
1284.55
2415 00
856.423
1610.00
642.375
1207.50
513.958
906 000
19
2570.01
4831.67
1285.05
2415.83
856.757
1610.50
642.620
1207.92
514.158
966.333
30
2571.01
4833.33
1285.55
2416.67
857.091
1611.11
642.877
1208.33
514.359
966.667
21
2572.01
4835.00
1286.05
2417.50
857.425
1611.67
643.127
1208.75
514.559
967.000
33
2573.01
4836.67
1286.55
2418 33
857.760
1612.22643.378
1209.17
514.760
967.333
33
2574.02
4838.33
1287.06
2419.17
858.094
1612.78
643.629
1-209.58
514.961
907.0(57
34
2575.02
4840.00
1287.56
2420.00
858.428
1613.33
643.880
1210.00
515.101
968.000
35
2576.02
4841 67
1288.06
2420 83
858.762
1613.89
644.130
1210.42
515.302
908.333
36
2577.02
4843.33
1288.56
•2421.67
859.097
1614.44!044.381
1210.83
515.562
968.667
37
5278.03
4845.00
1289.06
2422.50
859.431
1615.00
044.632
1211.25
515.763
909.000
38
2579.03
4846.67
1289.56
2423.33
859.765
1615. 561044. 882il211. 67
515.904
969.333
39
2580.03
4848.33
1290.06
2424.17
860.099
1616.11
645.133
1212.08
516.164
969.667
30
2581.04
4850.00
1290.57
2425.00
860.434
1616.67
645.384
1212.50
516.365
970.000
31
2582.04
4851.67
1291.07
2425.83
860.768
1617.22
645.635
1212.92
516.565
970.333
33
2583.04
4853.33
1291.57
2426.67
861.102
1617. 78:645. 885
1213.33
516.766
970.667
33
2584.04
4855.00
1292.07
2427.50
8517437
1618.33
646.130
1213.75
516.967
971.000
34
2585.05
4856.67
1292.57
2428.33
861.771
1618.89646.387
1214.17
517.167
971.333
35
2586.05
4858.33
1293.07
2429.17
862.105
1619.44
646.637
1214.58
517.368
971.667
36
2587.05
4860.00
1293.57
2430.00
862.439
1620.00646.888
1215.00
517.568
972.000
37
2588.05
4861.67
1294.07
2430.83
862 774
1620.56
647.139
1215.42
517.709
972.333
38
2589.06
4863.33
1294.58
2431.67
863.108
1621.11
647.390
1215.83
517.970
972.667
39
2590.06
4865.00
1295.08
2432.50
863.442
1621.67
647.640
1216.25
518.170
973.000
4O
2591.06
4866.67
1295.58
2433.33
863 . 776
1622.22
647.891
1216.67
518.371
973.333
41
2592.07
4868.33
1296.08
2434.17
864.111
1622.78648.142
1217.08
518.571
973.667
43
2593.07
4870.00
1296.58
2435.00
864.445
1623.33
648.393
1217.50
518.772
974.000
43
2594.07
4871.67
1297.08
2435.83
864.779
1623.89
648.643
1217.92
518.973
974.333
44
2595.07
4873.33
1297.58
2436.67
865.113
1624.44
648.894
1218.33
519.173
974.667
45
2596.08
4875.00
1298.09
2437.50
865.448
1625.00649.145
1218.75
519.374
975.000
46
2597.08
4876.67
1298.59
2438. 33
865.782
1625.56
649.395
1219.17
519.574
975.333
47
2598.08
4878. 33
1299.09
2439.17
866.116
1626.11
649.646
1219.58
519.775
975.607
48
2599.08
4880.00
1299.59
2440.00
866.450
1626.67
649.897
1220.00
519.970
976.000.
49
2600.09
4881.67
1300.09
2440.83
866.785
1627.22,650.148
1220.42
520.176
976.333
5O
2601.09
4883.33
1300.59
2441.67
867.119
16-27.78650.398
1220.83
520.377
976.667
51
2602.09
4885.00
1301.09
2442.50
867.458
1628.33
050.049
1221.25
520.577
977.000
53
2603.09
4886.67
1301.59
2443.33
867.788
1628.89650.900
1221.07
520.778
977.333
53
2004.10
4888.33
1302.10
2444.17
868.122
1629.44
651.150
1222.08
520.979
977.607
54
2605.10
4890.00
1302.60
2445.00
868.456
1030.00
651.401
1222.50
521.179
978.000
55
2606.10
4891.67
1303.10
•?445.83
868.790
1630.56651.652
1222.92
521.380
978.333
56
2607.11
4893.33
1303.60
2446.67
869.125
1631.11
651. 90S
12-23.33
521.580
978.667
57
2608.14
4895.00
1304.12
2447.50
869.468
1631.67
652.160
1223.75
521.787
979.000
58
2609.17
4896.67
1304.63
2448.33
S69.812 1632.22
652.4181224.17
521 . 993
979.333
59
2610.17
4898.33
1305.13
2449.K
870.146 1632.78 652. 66911224. 58
522.194 979.667
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
48°
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
Tan .
Arc.
M.
425.859800.000
364.652685.714
319.132
600.000283.732
533.333
255.424480.000
O
425.527j800.278
364. 796 6S5. 952
319.257
600. 208 '283. 843
533.519
255.524
480.167
1
425. 694*800. 566
364.939686.190
319.383
600.417283.955
533.704
255.625
480.333
2
425.b6l|800.S83
365.082686.429
319.508
600.625284.066
533.889
255.725
480.500
3
426.028801.111
365.226686.667
319.634
600.833
284.178
534.074
255.826
480.667
4
4-26.191
801.389
365.365
686.905
319.756601.042
284.286534.259
255.923
480.833
5
426.353
801.667
365.504
687.143
319.877:601.250
284.394 534.444
256.021
481.000
6
426.520
801.944
365.647
687.381
320.003601.458
284.506534.630
256.121
481.167
7
426.687
802.222
365.791
687.619
320.128601.667
284.617534.815
256. 2S1
481 .333
8
426 854
802.500
365.934
687.857
320.254
601.875
284.729
535.000
256.322
481.500
0
427.022
802.778
366.077
688.095
320.379
602 083
284.841
535.185
256.422
481.667
10
427.181)803.056
366.221
688.333
320.505
602.292
284.952 535.370
256.523
481.833
11
427 356 803.333
366.364
688.571
320.630
602.500
285.064
535.556
256.623
482.000
12
427.523803.611
366.507
688.810
320.755
602.708
285.175
535.741
256.723
482.167
13
427.690803.889
366.651
689.048
320.881
602.917
285.287
535.926
256.824
482.333
14
427.858804.167
366.794
689.286
321.006
603.125
285.398
536.111
256.924
482.500
15
428.025804.444
366.937
689.524
321 132
603.333
285.510
536.296
257.025
482.667
1(J
428. 192 ;804. 722
367.081
689.762
321.257
603.542
285.621
536.481
257.125
482.833
17
428. 359 1805.000
367.224
690.000
321.383
603.750
285.733
536.667
257.225
483.000
18
428.526
805.278
367.367
690.238
321.508
603.958
285.844
536.852
257.326
483.167
19
428.694
805.556
367.511
690.476
321.633
604.167
285.956
537.037
257.426
483.333
2O
428.861 805.833
367.654
690.714
321.759
604.375
286.067
537.222
257.527
483.500
21
429.028806.111
367.797
690.952
321.884
604.583
286.179
537.407
257.627
483.667
22
429.195806.389
367 941
691.190
322.010
604.792
286.290
537.593
257.727
483.833
23
429.362800.667
368.084
691.429
322.135
605.000
286.402
537.778
257.828
484.000
24
429.530806.944
368.227
691.667
322.261
605.208
286.513
537.963
257.928
484.167
25
429.697 807. 22<
368.371
691.905
322.386
605.417
286.625
538.148
258.029
484.333
26
429.864 807. 500
368.514
692.143
322.512
605.625
286.736
538.333
258.129
484.500
27
430.031 807.778
368.657
692.381
322 637
605.833
286.848
538.519
258.229
484.667
28
430.198
808.056
368.801
692.619
322.762
606.042
286.959
538.704
258.330
484.833
29
430.365
808.333
368.944
692.857
322 888
606.250
287.071
538.889
258.430
485.000
3O
430.533808.611
369.087
693.095
323.013
606.458
287.182
539.074
258.530
485.167
31
430.700808.889
369.231
693.333
323.139
606.667
287.294
539.259
258.631
485.333
32
430.867809.167
369.374
693.571
323.264
606.875
287.406
539.444
258.731
485.500
33
431.034 809.444
369.517
693.810
323.390
607.083
287.517
539.630
258.832
485.667
34
431.201 809.722
369.661
694.048
323.515
607.292
287.629
539.815
258.932
485.833
35
431.369810.000
369.804
694.286
323.640
607.500
287.740
540.000
259.032
486.000
3G
431.536
810.278
369.947
694.524
323.766
607.708
287.852
540.185
259.133
486.167
37
431.703
810.556
370.091
694.762
323.891
607.917
287.963
540.370
259.233
486.333
38
431.870
810.833
370.234
695.000
324.017
608.125
288.075
540.556
259.334
486.500
39
432.037
811.111
370.377
695.238
324.142
608.333
288.186
540.741
259.434
486.667
4O
432.205
811.389
370.521
695.476
324.268
608.542
288.298
540.920
259.534
486.833
41
432.372
811.667
370.664
695.714
324.393
608.750
288 409
541.111
259.635
487.000
42
432.539
811.944
370 807
695.952
324.519
608 958
288.521
541.296
259.735
487.167
43
432.706
812.222
370.950
696.190
324.644
609.167
288.632
541.481
259.83(i
J 87. 333
44
432.873
812.500
371.094
696.429
324.769
609.375
288.744
541.667
259 936
487.500
45
433.041
812.778
371.237
696.667
324.895
609.583
288.855
541.852
260 036
487.667
4G
433.208
813.056
371.380
696.905
325.020
609.792
288.967
542.037
260.137
487.833
47
433.375
813.333
371.524
697.143
325.146
610.000
289.078
542.222
260.237
488.000
48
433.542
813.611
371.667
697.381
325.271
610.208
289.190
542.407
260.338
488.167
49
433.709
813.889
371.810
697. fil 9
325.397
610.417
289.301
542.593
260.438
488.333
50
433.876
814.167
371.954
697.857
325.522
610.625
289. 41 3 1542.778
260.538
488.500
51
434.041
814.444
372.097
698.095
325.647
610.833
289.524:542.96?
260 639
488.667
52
434.211
814. 722J372.240
698.333
325.773
611.042
289.636543.148
260.739
488.833
53
434.378
81 5.000' 372. 3841 698. 571
325.898
611.250
289.747543.333
260.840
489.000; 54
434.545
81 5. 278 372. 5271 698. 810
326.024
611.458
289. 859 543. 51 <
260.940
489.167; 55
434.712
815.556 372.670 699.048
326.149
611.667
289.971 543.704
261.040
489.333 r>(>
484.884
815.833372.818699.286
326.278
611.875
290.085543.889
261.144
489.500j 57
435.056 816.111 372.965 699.524
435 . 224 ! 8 1 6 . 389 373 . 1 09 ' 699 . 762
326.407
326.533
612.083
612.292
290.200544.074
290.311:544 259
261.247
261.347
489.667 58
489.833 59
143
TABLE XIV.— ACTUAL TANGENTS, ETC.
49°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
2611.17
4900.00
1305.632450.00
870.481
1633.33
652.920
1225.00
522.394
980.000
1
2612.18
4901.67
1306.14
2450.83
870.815
1633.89
653.171
1225.42
522.595
980.333
2
2613.18
4903.33
1306.64
2451.67
871.149
1634.44
653.421
1225.83
52-2.795
980.667
3
2614.18
4905.00
1307.14
2452.50
871.484
16:35.00
653.672
1226.25
522.996
981.000
4
2615.18
4906.67
1307.64
2453.33
871.818
1635.56
653. 923 11'226. 67
523.197
981.333
5
2616.19
4908.33
1308.14
2454.17
872.152
1636.11
654.173
1227.08
523.397981.667
6
2617.19
4910.00
1308.64
2455.00
872.486
1636.67
654.424
1227.50
523.598982.000
7
2618.19
4911.67
1309.14
2455.83
872.821
1637.22
654.675
1227.92
523.798982.333
8
2619.19
4913.33
1309.65
2456.67
873.1551637.78
654.926
1228.33
523.999982.667
9
2620.20
4915.00
1310.15
2457.50
873.489,1638.33
655.176
1228.75
524.200983.000
10
2621.20
4916.67
1310.65
2458.33
873.8231638.89
655.427
1229.17
524.400983.333
11
2622.23
4918.33
1311.16
2459.17
874.167
1639.44
655.685
1229.58
524.607983.667
12
2623.26
4920.00
1311.68
2460.00
874.511
1640.00
655.943
1230.00
524.813984.000
13
2624.27
4921.67
1312.18
2460.83
874.845
1640.56
656.194
1230.42
525.013984.333
14
2625.27
4923.33
1312.68
2461.67
875.180
1641.11
656.444
1230.83
525.214984.667
15
2626.27
4925.00
1313.18
2462.50
875.514
1641.67
656.695
1231.25
525.415985.000
16
2627.27
4926.67
1313.69
2463.33
875.848
1642.22
656.946
1231.67
525.615985.333
17
2628.28
4928.33
1314.19
2464.17
876.182
1642.78
657.196
1232.08
525.816985.667
18
2629.28
4930.00
1314.69
2465. OJ
876.517
1643.33
657.447
1232.50
526. 01 6 : 986. 000
19
2630.28
4931.67
1315.19
2465.83
876.851
1643.89
657.698
1232.92
526.217
986.333
20
2631.28
4933.33
1315.69
2466.67
877.185
1644.44
657.949
1233.33
526.418
986.667
21
2632.32
4935.00
1316.21
2467.50
877.529
1645.00
658.206
1233.75
526. 624 1987. 000
22
2633.35
4936.67
1316.72
2468.33
877.873
1645.56
658.464
1234.17
526. 830 i 987. 3:33
23
2634.35
4938.33
1317.22
2469.17
878.207
1646.11
658.715
1234.58
527.031 987.667
24
2635.35
4940.00
1317.72
2470.00
878.541
1646.67
658.966
1235.00
527 2311988.000
25
2636.36
4941.67
1318.23
2470.83
878.876
1647.22
659.216
1235.42
527.432988.333
26
2637.36
4913.33
1318.73
2471.67
879.210
1647.78
659.467
1235.83
527.633988.667
27
2638.36
4945.00
1319.23
2472.50
879.544
1648.33
659.718
1236.25
527.8331989.000
28
2639.36
4946.67
1319.73
2473.33
879.878
1648.89
659.969
1236.67
528.034
989.333
29
2640.39
4948.33
1320.25
2474.17
880.222
1649.44
660.227
1237.08
528.240
989.667
30
2641.43
4950.00
1320.76
2475.00
880.566
1650.00
660.484
1237.50
528.447
990.000
31
2642.43
4951.67
1321.26
2475.83
880.900
1650.56
660.735
1237.92
528.647
990.333
32
2643.43
4953.33
1321.76
2476.67
881.235
1651.11
660.986
1238.33
528.848
990.607
33
2644.43
4955.00
1332.27
2477.50
881.569
1651.67
661.237
1-238.75
5-29.048
991.000
34
2645.44
4956.67
1322.77
2478.33
881.903
1652.22
661.487
1239.17
529.249
991.333
35
2646.44
4958.33
1323 27
2479.17
882.237
1652.78
661,738
1239.58
5-29.450
991.667
36
2647.44
4960.00
1323.77
2480.00
882.572
1653.33
661.989
1240.00
529.650
992.000
37
2648.47
4961.67
1324.29
2480.83
882.915
1653.89
062.247
1240.42
529.856
992.333
38
2649.50
4963.33
1324.80
2481.67
883.259
1654.44
662.505
1240.83
530.063
992.607
39
2650.51
4965.00
1345.30
2482.50
883.593
1655.00
662.755
1241.25
530.203
993.000
4O
2651.51
4966.67
1335 80
2483.33
883.928
1655.56
663.006
1241.67
530.464
993.333
41
2652.51
4968.33
1326.31
2484.17
884.262
1656.11
663.257
1242.08
530.665
993.607
42
2653.52
497'0.00
1326.81
2485.00
884.596
1656.67
063.507
1242.50
530.865
994.000
43
2654.55
4971.67
1327.32
2485.83
884.940
1657.22
063.765
1242.9-2
531.072
994.333
44
2655.58
4973.33
1327.84
•2486.67
885.284
1657.78
664.023
1243.33
531.278
994.607
45
2656.58
4975.00
1328.34
2487.50
8S5.618
1658.33
664.274
1243.75
531.478
995.000
46
2657.58
4976.67
13-28 84
2488.33
8S5.952
1658.89
664.525
1244.17
531.679
995.333
47
2658.59
4978.33
1329.34
2489.17
886.287
1659.44
664.775
1244.58
531.880
995.067
48
2659.59
4980.00
1329.84
2490.00
886.621
1660.00
065.026
1245.00
532.080
996.000
49
2(360.62
4981.67
1330.36
2490.83
886.905
1660.56
665.284
1245.42
532.287
996.333
5O
2661.65
4983.33
1330.87
2491.67
887.309
1601.11
665.542
1245.83
53-2.493
996.607
51
2662.65
4985.00
1331.38
241)2.50
887.643
1661.67
665.793
1246.25
582.694997.000
52
2603.664986.67
1331.88
2493.33
887.977
1662.22
666.043
1246.67
532.894 997.333
53
2664.694988.33
1332.39
2494.17
S88.321
1662.78
666.301
1247.08
533.100997.607
54
2665.724990.00
1332.91
2495.00
888.665
1663.33
666.559
1247.50
533.307998.000
55
2666.724991.67
1333.41
2495.83
888.999
1603.89
606.810
1247.92
533.507998.333
56
2667.734993.33
1333.91
2496.67
889.3331664.44
667.060
1248.33
533.708998.667
57
2668.7:14995.00
1334.41 2107.50
889.66816(55.00
667.311
1248.75
533.909 999.000
58
2669.734996.67
1334.91 2498.33
890.002 1665.56
667.562
1249.17
534.109999.333
59
2670.764998.33
1335.432499.17
890.346 1666.11
667.820
1249.58
534.315999.667
144
TABLE XIV. — ACTUAL TANGENTS, ETC.
G° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
49°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
A re.
544.444
Tan.
Arc.
M.
435.391
816.667
373.252
700.000
326.658
612.500
290.423
261.448
490.000
0
435.558
816.944
373.395
700.238
326.784
612.708
290.535
544.630
261.548
490.167
1
435.725
817.222
373.539
700.476
326.909
612.917
290.646
544.815
261.648
490.333
2
435.892
817.500
373.682
700.714
327.034
613.125
290.758
545.000
261.749
490.500
3
436.059
817.778
373.825
700.952
327.160
613.333
290.869
545.185
261.849
490.667
4
436.227
818.056
373.969
701.190
327.285
613 542
290.981
545.370
261.950
490.833
5
436.394
818.333
374.112
701.429
327.411
613.750
291.092
545.556
262.050
491.000
0
436.561
818.611
374.255
701.667
327.536
613.958
291.204
545.741
262.150
491.167
7
436.728
818.889
37'4.399
701.905
327.662
614.167
291.315
545.926
262.251
491.333
8
436.895
819.167
374.542
702.143
327.787
614.375
291.427
546.111
262.351
491.500
9
437.063
819.444
374.685
702.381
327.912
614.583
291.538
546.296
262.452
491.667
10
437.235
819.722
374.833
702.619
328.041
614.792
291.653
546.481
262.555
491.833
11
437.407
820.000
374.980
702 857
328.171
615.000
291.768
546.667
262.658
44)2.000
12
437. 57 i
820.278
375.123
703.095
328.296
615.208
291.879
546.852
262.759
492.167
13
437.741
820.556
375.267
703.333
328.421
615.417
291.991
547.037
262.859
492.333
14
437.908
820.833
375.410
703.571
328.547
615.625
292.102
547.222
262.959
492.500
15
438.075
821.111
375.553
703.810
328.672
615.833
292.214
547.407
263.060
492.667
16
438.242
821.389
375.697
704. 048
328.798
616.042
292.325
547.593
263.160
492.833
17
438.410
821.667
375.840
704.286
328.923
616.250
292.437
547.778
263.261
493.000
18
438.577
821.944
375.983
704.524
329.049
616.458
292.548
547.963
263.361
493.167
19
438.744
822.222
376.127
704.762
329.174
616.667
292.660
548.148
263.461
493.333
2O
438.916
822.500
376.274
705.000
329.303
616.875
292.775
548.333
263.565
493.500
21
439.088
822.778
376.422
705.238
329.432
617.083
292.889
548.519
263.668
493.667
22
439.255
823.05*.
376.565
705.47T,
329.557
617.292
293.001
548.704
263.768
493.833
23
439.42','
823.333
376.708
705.714
329.683
617. 500
293.112
548.889
263.869
494.000
24
439. 590
823.611
376.852
705.952
329.808
617.708
293.224
549.074
263.969
494.167
25
439.757
823.889
376.995
706.190
3-J9.934
617.917
293.335
549.251)
264.069
494.333
2G
439.924
824.16?
377. 138
706.429
330 059
618.125
293.447
549.444
264.170
494.500
27
440.091
S>4.444
477.282
706.667
330.185
618.333
293.558
549.630
264.270
494.667
28
440.263
824.722
377.429
706.905
330.314
618.542
293.673
549.815
264.374
494.833
29
440.435
825.000
377.576
707.143
330.443
618.750
293.788
550.000
264.477
495.000
30
440.602
825.278
377 720
707.381
330.568
618.958
293.899
550.185
264 . 577
495.167
31
440.769
825.556
377.863
707.619
330.694
619.167
294.011
550.370
264.678
495.333
32
440.937
825.833
378.006
707. 857
330.819
619.37'5
294.122
550.556
264.778
495.500
33
441.104
826.111
378.150
708.095
330.944
619.583
294.234
550.741
264.878
495.667
34
441.271
826.389
378.293
708. 333
331.070
619.792
294.345
550.926
264.979
495.833
35
441.438
826.667
37'8.436
708.571
331.195
620.000
294.457
551.111
265.079
496.000
36
441.610
826.944
378.584
708.810
331.324
620.208
294.572
551.296
265.182
496.167
37
441.782
827.222
378 731
709.048
331.453
620.417
294.680
551.481
265.286
496.333
38
441.949
827.500
378.875
709.286
331.579
620.625
294.798
551.667
265.386
496.500
39
442.117
827.778
379.018
709.524
331.704
620.833
294.909
551.852
265.486
496.667
40
442.284
828.056
379.161
709.762
331.830
621.042
295.021
552.037
265.587
496.833
41
442.451
828.333
379.304
710.000
331.955
621.250
295.132
552.222
265.687
497.000
42
442.623
828.611
379.452
710.238
332.084
621.458
295.247
552.407
265.791
497.167
43
442.795
828.889
379.599
710.476
332.213
621.667
295.362
552.593
265.894
497.333
44
442.962
829.167
379.743
710.714
a3 2. 339
621.875
295.473
552.778
265.994
497.500
45
443.129
829.444
379.886
710.952
332.464
622.083
295.585
552.963
266.095
497.667
46
443.296
829.722
380.029
711.190
332. 5S9
622.292
295.696
553.148
266.195
497.838
47
443 464
830.000
380.173
711.429
332.715
622.500
295.808
553.333
266.295
498.000
48
443.636
830.278
380.320
711.667
332.844
622.708
295.923
553.519
266.399
498.167
49
443.808
830.556
380.468
711.905
332.973
622.917
296.037
553.704
266.502
498.333
50
443.975
830.833
380.611
712.143
333.098
623.125
296.149
553.889
266.602
498.500
51
444.142
831.111
380.754
712.381
333.224
623.3.33
296.260
554.074
266.703
498.667
52
444.314
831.38!)
380.902
712.619
333 353
623.542
296.375
554.259,266.806
498.833
53
444.486
831.667
381.049
712.857
333.482
623.7'50
296.490
554.444266.909
499.000
54
444.653
831.944
381.192
713.095
333.607
623.958
2J6.601
554.630267.010
499.167
55
444.8201832.222
381.336
713.333
333.S 33
624.167
2156.713
554.815267.110
499.333
56
444.987
832.500
381.479
713.571
333.858
621.375
296.824
555.000267.210
499.500
57
445.155
832.778
381.622
713.810
333.984
624.583
296.936
555.185267.311
499.667
58
445.327833.056
381.770
714.048
334.113
624.792
297.051
555.370 267.414
499.833
59
145
TABLE XIV. — ACTUAL TANGENTS, ETC.
5O°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
5000.00
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
2671.79
13^5.95
2500.00
890.689
1666.07
068.078
1250.00
5:34.522
1000.00
1
3672.80
5001.67
1336.45
2500.83
891 024
1667.22
668.328
1250.42
534.722
1000.33
3
2(573.80
5003.33
1336.95
2501.67
891.358
1667.78
668.579
1250.83
534.923
1000.67
3
2074.83
5005.00
1337.46
2502.50
891.702
1668.33
668.837
1251.25
535.129
1001.00
4
2675.86
501)6.67
1337.98
2503.33
892.046
1668.89
669.095
1251.67
535.336
1001. 33
5
2676.86
5008.33
1338.48
2504.17
892.380
1669.44
669.346
1252.08
535.536
1001.67
6
2677.87
5010.00
13:38.98
2505.00
892.714
1670.00
669.596
1252.50
535.737
1002.00
7
2678.87
5011.67
1339.48
2505.83
893.048
1670.56
669.847
1252.92
535.937
1002.33
8
2679.87
5013.33
1339.99
2506.67
893.383
1671.11
670.098
1253.33
536.138
1002.67
9
2680.90
5015.00
1340.50
2507.50
893.726
1671.67
670.356
1253.75
536.344
1003.00
10
2681.93
5016.67
1341.02
2508. as
894.070
1672.22
670.614
1254.17
536.551
1003. as
11
2682.94
5018.33
1341.52
2509.17
894. 405' 1672. 78
670.864
1254.58
536.751
1003.67
13
2683.94
5020.00
1342.02
2510.00
894.739 1673 33
671.115
1255.00
536,952
1004.00
13
2684.97
5021.67
1342.53
2510.83
895.083:1673.89
671.373
1255.42
537.158
1004. as
14
2686.00
5023.33
1343.05
2511.67
895. 426; 1674. 44
671.631
1255.83
537.365
1004.67
15
2687.01
5025.00
1343.55
2512.50
895.761 1675.00
671.881
1256.25
537.565
1005.00
16
2688.01
5026.67
1344.05
2513.33
896.095
1675.56
672.132
1256.67
537.766
1005.33
17
2689.04
5028.33
1344.57
2514.17
896.439
1676.11
672.390
1257.08
537.972
1005.67
18
2690.07
5030.00
1345.08
2515.00
896.783
1676.67
672.648
1257.50
538.178
1006.00
19
2691.07
5031.67
1345.59
2515.83
897.117
1677.22
672.899
1257.92
538.379
1006.33
20
2692.08
soas.as
1346.09
2516.67
897.451
1677.78
673.149
1258.33
538.580
1006.67
21
2693.11
5035.00
1346.60
2517.50
897.795
1678. as
673.407
1258.75
538.786
1007.00
22
2694.14
5036.67
1347.12
2518.33
898.139
1678.89
673.665
1259.17
538.992
1007.33
23
2695.14
5038. as
1347.62
2519.17
898.473
1679.44
673.916
1259.58
539.193
1007.67
24
2696.14
5040.00
1348.12
2520.00
898.807
1680.00
674.167
1260.00
539.394
1008.00
25
2697.18
5041.67
1348.64
2520.83
899.151
1680.56
674 424
1260.42
539.600
1008.33
26
2698.21
5043.33
1349.15
2521.67
899.495
1681.11
074.682
1260.83
539.806
1008.67
27
2699.24
5045.00
1349.67
2522.50
899.839
1681.87
674.940
1261.25
540.013
1009.00
28
2700.27
5046.67
1350.18
2523.33
900.183
1682.22
675.198
1261.67
540.219
1009.33
29
2701 .27
5048.33
1350.69
2524.17
900.517
1682.78
675.449
1262.08
540.419
1009.67
30
2702.27
5050.00
1351.19
2525.00
900.851
1683.33
675.700
1262.50
540.620
1010.00
31
2703.31
5051.67
ia51.70
2525.83
901.195
1683.89
075.957
1262.92
540.826
1010.33
32
2704.34
5053. as
1352.22
2526.67
901.539
1684.44
676.215
1263.33
541.033
1010.67
33
2705.34
5055.00
ia52.72
2527.50
901.873
1685.00
676.466
1263.75
541.2:33
1011.00
34
2706.34
5056.67
1353.22
2528. 33
902.207
1685.56
676.717
1264.17
541.434
1011.33
35
2707.37
5058. as
1353.74
2529.17
902.551
1686.11
676.975
1264.58
541.640
1011.67
36
2708.41
5060.00
1354.25
2530.00
902 895
1686.67
677.233
1265.00
541.847
1012.00
37
2709.41
5061.67
1354.75
2530.83
903.229
1687.22
677.483
1265.42
542.047
1012.33
38
2710.41
5063. as
1355.26
2531.67
903.563
1687.78
077.734
1265.83
542.248
1012.67
39
2711.44
5065.00
1355.77
2532.50
903.907
1688.3S
677.992
1266.25
542.454
1013.00
4O
2712.47
5066.67
1356.29
2533.33
904.251
1688.89
678.250
1266.67
542.660
1013.33
41
2713.50
5068.33
1:356 80
2534.17
904.595
1689.44
078.508
1267.08
542.867
1013.67
42
2714.54
5070.00
1357.32
2535.00
904.939
1690.00
678.766
1267.50
543.073
1014.00
43
44
2715.54
2716.54
5071.67
5073.33
1357.82
ia58.32
2535.83
2536.67
905.2731690.56
905.6071091.11
679.016
679.267
1267.92
1268.33
543.274
543.474
1014.33
1014.67
45
2717.57
5075.00
1358.84
2537.50
905.951
1691.67
079.525
1268.75
543.681
1015.00
46
2718.60
5076.67
1359. a5
2538.33
906.295
1692.22
679.783
1269.17
543.887
1015. as
47
2719.61
5078.33
1359.85
2539.17
906.629
1692.78
680.033
1269.58
544.088
1015.67
48
2720.61
5080.00
1360.35
2540.00
906.963
1693.33
680.284
1270.00
544.288
1016.00
49
2721.64
5081.67
1360.87
2540.83
907.307
1693.89
680.542
1270.42
544.494
1016.33
5O
2722.67
5083.33
1361,39
2541.67
907.651
1694.44
680.800
1270.83
544.701
1016.67
51
2723.70
5085.00
1361.90
2542.50
907.995
1695.00
681.058
1271.25
544.907
1017.00
52
2724.74
5086.67
1362.42
2543. as
908.339
1695.56
681.316
1271.67
545.113
1017.33
53
2725.74
5088. a3
1362.92
2544.17
908.6731696.11
681.566
1272.08
545.314
1017.67
54
2726.74
5090.00
1363.42
2545.00
909.00711696.67
681.817
1272.50
545.515
1018.00
55
2727.77
5091.67
1:363.94
2545.83
909. 351 ! 1697. 22
082.075
1-J72.92
545.721)1018.33
56
2728.80
5093. as
1364.45
2546. #?
909.6951697.78
682.3:33
1273. as
545. 927 [101 8. 67
57
2729.83
5095.00
1364.97
2547.50
910.039 1698. as
082.591
1273.75
540.1:34 1019. 00
58
2730.87
5096.67
1365.48
2548.33
910.382 1698.89
682.849
1274.17
M6.340J1019.33
59
2731.90
5098.33
1366.00
2549.17
910.726 1699.44
683.107
1274.58
516.546il019.67
146
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
5O°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
445.499
833.333
381.917
714 286
334 242625.000
297.165555.556267.517
500.000
0
445.666
833.6111382.060
714.524
334.367625.208
297. 27? 1555. 741 267.618
500.16?
1
445.883
833.8891382 204
714.762
334.493625.417
297. 388 555. 920267.71 8
500.333
2
446.005
S34.167
382.351
715.000
334.622625.625
297.503556.111 207.821
500.500
3
446.17?
834.444
382.499
715.238
334.751
625 833
297.618
556.296267.925
500.66?
4
446.344
446 511
834.722
835.000
382.642
382.785
715.476
715.714
334.876 626.042
335.001 626 250
297.729
297.841
556.481
556.667
208.025
268.125
500.833
501.000
5
6
446.678
835.278
382.929
715.952
335.127
626.458
297.952
556.852
268.226
501.167
7
446.846
835.556
383.072
716.190
335.252
626.667
298.064
557.037
268.326
501.333
8
447.018
835.833
383.219
716.429
335.381
626-875
298.179
557.222
268.430
501.500
9
447.190
836.111
383.367
716.667
335. 510 |627.083
298.293
557.407
268.533
501 . 667
10
447.35?
836.359
383.510
716.905
335.636627.292
298.405
557.593
268.633
501.833
11
447.524
447.696
836.667
836.944
383.653
383.801
717.143
717.381
335. 761 S627.500
335.890627.708
298.516
298.631
557.778
557.963
268.734 502.000
268.837502.167
12
13
447.868
837.222
383.948
717.619
986.019
627.917
298.746
558.118
268.940502.333
14
448.035
837.500
384.092
717.85?
336.145
628.125
298.857
558.333
209.040502.500
15
448.202
837.778
384.235
718.095
336.270
628.333
298.969
558.519
269.141 502 667
16
448.374
838.056
384.382
718.333
886.899
628.542
299 084
558.704
269.244 502.833
17
448.546
838.333
384.530
718.571
336.528
628.750
299.198
558.889
269.347
503.000
18
448.713
838.611
384.673
718.810
336.654
628.958
299.310
559.074
269.448
503.167
19
448.881
838.889
384.816
719.048
336.779
629.167
299.421
559.259
269.548
503.333
2O
449.053
839.167
284.964
719.286
336.908629.375
299.536
559.444
269.651
503.500
21
449.224
839.444
385.111
719.524
337. 037 1629.583
299.651
559.630
269.755
503.667
22
449.392
839.722
385.255
719.762
337.1631629.792
299.762
559.815
269.855
5Q3.833
23
449.559
840.000
385.398
720.000
337. 288; 630. 000
299.874
560.000
269.956
504.000
24
449.731
840.278
385.545
720.238
337.417630.208
299.988
560.185
270.059
504.167
25
449.903
840.556
385.693
720.476
337.546
630.417
300.103
560.370
270.162
504.333
26
450.075
840.833
385.840
720.714
337.675630.625
300.218
560.556
270.265
504.500
27
450.247
841.111
385.988
720.952
337.804 630 833
300.333
560.741
270.369
504.667
28
450.414
841.389
386.131
721.190
337.929631.042
300.444
560.926
270.469
504.833
29
450.581
841.667
386.274
721.429
338.055
631.250
300.556
561.111
270.569
505.000
30
450.753
841.944
386.422
721.667
338.184631.458
800.670
561.290
270.673
505.167
31
450.925
842.222
386.569
721.905
338.313631.667
300.785
561.481
270.776
505.333
32
451.092
842.500
386.713
722.143
338.438631.875
300 897
561 667
270.876
505.500
33
451.259
842.778
386.856
722.381
338.564 632.083
301.008
561.852
270 977
505.667
34
451.431
843.056
387.003
722 619
338.693632.292
301.123
562.037
271.080
505.833
35
451.603
843.333
387.151
722.857
338.822 632.500
301.237
562 222
271.183
506.000
36
451.771
P43.611
3S7.294
723.095
338.947 632 708
301.349
562.407
271.284
506.167
37
451.938
843.889
387.437
723.033
339.073632.91?
301.461
562.593
271 384
506.333
38
452.110
844.167
387.585
723.571
339.202
633.125
301.575
562.778
271.487
5C6.500
39
452.282
844.444
387.732
723.810
339.331
633.333
301.690
562.963
271.591
506.667
40
452.454
844.722
387.880
724.048
339. 460:633. 542
301.805
563.148
271.694
506.833
41
452.626
452.793
845.000
845.278
388.027
388.170
724.286
724.524
339.589033.750
339.714 633 958
301.919503.333271.797
302. 031 1 563. 51 9 271. 897
507.000
507.167
42
43
452.960
845.556
388.314
724.762
339.840634.167
302.142563.704 271.998
507.333
44
453.132
845.833
388.461
725.000
339.969 634 375
302.257563.889272.101
507.500
45
453,304
846.111
388.609
725.238
340.098
634.583
302 . 372 564 074 272 . 204
507.667
46
453.471
846.389
388.752
725.476
340.223
634.792
302.483564.259272 305
507.838
47
453.638
846.66?
388.895
725.714
340.349
635.000
302 . 595 j 564 . 444 272 . 405
508.000
48
453.810
846.944
389.043
725.952
340.478
635.208
302. 710 564. 630 1 272. 518
508.167
49
453.982
847.222
389.190
726.190
340 607
635.417
302.8.24564.815
272.612
508.333
50
454.154
847.500
389.337
726.429
340.73(>
635.625
302 . 939 505 . 000 272 .715
508.500
51
454.326
847.778
389.485
726.667
340.865
035.833
303 . 054 565 . 1 85 27 2 . S 18 508 . 667
52
454.498848.056
389.628
726.905
340.990636.042
303 . 1 65 565 . 370 272 . 9 1 9 508 . 833
53
454.661848.888
389.772
727.143
341.116036.250
303 . 277 565 . 556 273 .019 509 . 000
54
454.832848.611
389.919
727.381
341.245636.458
3,'»3 . 391 565 . 741 273 . 1 22 50!) . 1 67
55
455.004848.889
390.066
727. (i 19
341.374636.607
303.506 505.926 273.226 509.333
56
455.176849.167
390.214 727.85?
341.503636.875
303.1.21 566.111 273.329 509.500
57
455.348849.444
390.361
728.095
341. 632 1637. 083
303.736 566.296 273.432 509.067
r>8
455.520849.722
390.509 728.333
341 . 761 i 637 . 292 303 . 850 566 . 481 273 . 535 509 . K-J3 59
147
TABLE XIV. — ACTUAL TANGENTS, ETC.
51°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~0
273:2.93
5100. 00 11366. 51
2550.00
911.070
1700.00
683.364
1275.00
546.753 1020.00
1
2733.93
5101.67
1367.02
2550.83
911.404
1700.56
683.615
1275.42
546.9531020.33
3
2734.93
5103.33
1367.52
2551.67
1)11.738
1701.11
683.866
1275.8:1
547.154 1020.6;'
3
2735.97
5105.00
1368.03
2552.50
912.08-3
1701.67
684.124
1276.25
547. 300 10-21.03
4
2737.00
5106.67
1368.55
2553.33
912.426
1702.22
684.382
1-376.6:
547.566
1021.33
5
2738.03
5108.33
1369.06
2554.17
912.770
1702.78
684.640
1277.08
547.773
1021.67
6 2739.06
5110.00
1369.58,2555.00
913.114
1703.33
684.897
1277.50
547.979
1022.0J
7 2740.06
5111.67
1370.08
2555.83
913.448
1703.89
685.148
1277.9-3
548.180
1022.33
8 2741.06
5113.33
1370.58
2556.67
913.782
1704.44
685.399
1278.33
548.380
1022.67
9
2742.10
5115.00
1371.10
2557.50
914.126
1705.00
685.657
1278.75
548.587
1023.00
10
2743.13
5116.67
1371.61
2558.33
914.470
1705.56
685.915
1279.17
548.793
1023.33
11
2744.16
5118.33
1372.13
2559.17
914.814
1706.11
686.173
1279.58
518.999 1023.67
13
2745.19
5120.00
1372.65
2560.00
915.158
1706.67
686.430
1280.00
549.2061024.00
13
2746.22
5121.67
1373.16
2560.83
915.501
1707.22
686.688
1280.42
549.412 1024.33
14
2747.25
5123.33
1373.68
2561.67
915.845
1707.78
686.946
1280.83
549.018 1024.67
15
2748.28
5125.00
1374.19
2562.50
916.189
1708.33
687.204
1281.25
549.825 1025.00
16
2749.32
5126.67
1374.71
2563.33
916.533
1708.89
687.462
1281.67
550.031 1025.33
17
2750.32
5128.33
1375.21
2564.17
916 867
1709.44
687.713
1282.08
550.232 1025.67
18
2751.32
5130.00
1375.71
2565.00
917.201
1710.00
687.963
1282.50
550.432 1026.00
19
2752.35
5131.67
1376.23
•2565.83
917.545
1710.56
688.221
1282.92
550.639
1026.33
20
2753.38
5133.33
1376.74
2566.67
917.889
1711.11
688.479
1283.33
550.845
1026.67
21
2754.41
5135.00
1377.26
2567.50
918.233
1711.67
688.737
1283.75
551.051 10-37.00
*8
2755.45
5136.67
1377.77
25158.33
91 S. 577
1712.22
688 99:>
1284.17
551.258 1027.33
33
2756-. 48
5138.33
1378.29
2569.17
918 920
1712.78
689.253
1284.58
551.4641027.67
34
2757.51
5140.00
1378.80
2570.00
919.264
1713.33
t>89.51'
1285.00
551.6701028.00
35
2758.54
5141.67
1379.32
2570.83
919.608
1713.89
689.769
1285.42
55 1.877 [10-38. 33
36
2759.57
5143.33
1379.84
2571.67
919.952
1714.44
690.026
1285.83
552.0831028.67
37
2760.57
5145.00
1380.34
2572.50
920.286
1715.00
690.277
1286.25
552.283:1029.00
38
2761.58
5146.67
138 J. 84
2573.33
920.620
1715.56
690.528
1286.67
552.484! 1029. 33
39
2762.61
5148.33
1381.35
2574.17
920.964
1716.11
690.786
1287.08
552.690
1029.67
30
2763.64
5150.00
1381.87
2575.00
9-21.308
1716.67
691.044
1287.50
552.897
1030.00
31
2764.67
5151.67
138-3.39
2575.83
931.652
1717.22
691.302
1287.92
553.103
1030.33
33
2765.70
5153.33
1382.90
2576.67
921.996
1717.78
691.559
1288.33
553.309
1030.67
33
2766.73
5155.00
1383 42
2577.50
93-3. 339
1718.33
691.817
1288.75
553.516
1031.00
34
2767.76
5156.67
1383.93
2578.33
922.683
1718.89
(592.075
1289.17
553.722
1031.33
35
2768.80
5158.33
1384.45
2579.17
923.027
1719.44
692.333
1289.58
553.928
1031.67
36
2769 83
5160.00
1384.96
2580.00
923.371
1720.00
692.591
1290.00
554.135
1032.00
37
2770.86
5161.67
1385.48
2580.83
933.715
1720.56
692.849
1290.42
554.341
1032.33
38
2771.89
5163.33
1386.00
2581.67
924.059
1721.11
693.107
1290.83
554.547
1032.67
39
2772.92
511J5.00
1385.51
2582.50
924.402
1721.67
693.365
1291.25
554.754
1033.00
40
2773.95
5166.67
1387.03
2583.33
924.746
1722.22
693.623
1291.67
554.960
1033.33
41
2774.98
5168.33
1387.54
2584.17
925.090
1722.78
693.880
1292.08
555.166
1033.67
43
2776.02
5170.00
1388.06
2585.00
935.434
1723.33
694.138
1292.50
555.373
1034.00
43
27J7.05
5171.67
1388.57
2585.83
925.778
1723.89
694.396
1292.92
555.579
1034.33
44
2778.08
5173.33
1389.09
2586.67
926.121
1724.44
694.654
1293.33
555.785
1034.67
45
2779.08
5175.00
1389.59
2587.50
926.456
1725.00
694.905
1293.75
555.986
1035 00
46
2780.08
5176.67
1390.09
2588.33
926.790
1725.56
695.156
1294.17
556.187
1035.33
47
2781.11
5178.33
1390 61
2589.17
927.134
1726.11
695.413
1294.58
556.393
1035.67
48
2782.15
5180.00
1391.12
2590.00
927.478
1726.67
695.671
1295.00
556.599
1036.00
49
2783.18
5181.67
1391.64
2590.83
927.821
1727.22
695.929
1295.42
556.806
1036.33
50
2784.21
5183.33
1392.16
2591.67
928.165
1727.78
696.187
1295.83
557.012
10-36.67
51
2785.24
5185.00
1392.67
2592.50
928.509
1728.33
696.445
1296.25
557.218
1037.00
53
278(5.27
5186.67
1393.19
2593.33
928.853
1728.89
696.703
1296.67
557.425
1037.33
53
2787.30
5188.33
1393.702594.17
929.197
1729.44
696.961
1297. 08 1 557. 631
1037.67
54
55
2788.33
2789. 37
5190.00
5191.67
1394.222595.00
1394. 73 12595. 83
929 . 540
929.881
1730.01*
1730.56
697.219
697.476
1297.50
1297.92
557.837
558.043
1038.00
1038.33
56
57
2790.40
2791.43
5193.33
5195.00
1395. 25 j 2596. 67
1395.772597.50
930.228
930.57-3
1731.11
1731.67
697 734
697.992
1298.33558.250
1298.75558.456
1038.67
1039.00
58
2792.46
5196.67
1396.282598.33
930.916
1732.22
698.2501299.17558.662
1039.33
59
2793.49
5198.33
1396.8012599.17
931.260
173-3.78
698. .r;08l 1299. 58:558. 8(39
1039.67
148
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
51°
Tan.
Arc.
Tan.
Arc.
Tail.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
455.69:;
tso.coo
390.656
728.571
341.890
637.500
303.965
566.6671273.639
510.000
O
455. 860
850.278
390.799
728.810
342.015
637.708
304.077566.852
273.739
510.167
1
456.02?
850.556
390.913
729.048
342.141
637.917
304.188
567.037
273.839
510.333
2
456.199
850.833
391.090
729.286
342.270
638.125
304.303
567.222
273.943
510.500
3
456.371
8r>i.ni
391.238
729.524
3 1 2. 399
G38.333
304.417
567.407
274.046
.110.667
4
456.543
851.389
391.385
729.762
342.528
638.542
304.532
567.593
274.149
510.833
5
456.715
851.667
391.532
730.000
342.657
638.750
•304.647
567.778
274.252
511.000
6
456.882
851.944
391.676
730.238
S42.782
638.958
304.758
567.963
274.353
511.167
7
457. 049
852.222
391.819
730.476
342.908
639.167
304.870
568.148
274.453
511.333
8
457.221
S52.500
391.967
730 714
•343.037
639.375
304.985
568.333
274.557
511.500
9
457.393
852.77'S
392.114
730.952
343.166
639.583
305.099
568.519
274.660
511 667
1O
457.565
853.056
'392.261
731 . 190
343 295
639.792
305.214
568.704
274.763
511.833
11
457.737
853.333
392.409
731.429
343.424
640 000
305.329
56*. 889
274.866
512.000
12
457.909
853.611
392.556
731.667
343.553
640.208
305.443
569.074
274.970
512.167
13
458.081
853.889
392.704
731.905
343.682
640.417
305.558
569.259
275.073
512.333
14
458.253
854.167
392 851
732.143
343.811
640.625
305.673
569.444
275.176
512.500
15
458.425
854.444
392.999
732.381
343.940
640.833
305.788
569.630
275.279
512.667
16
458.592
854.722
393.142
732.619
314.065
641.042
305.899
569.815
275.380|512.833
17
458.759
855.000
393.285
732.857
344.191
641.250
306.011
570.000
275.480513.000
18
458.931
855.278
393.433
733.095
344.320
641.458
306.125
570.185
275.583
513.167
19
459.103
855.556
393.580
73-3.333
344.449
641.667
306.240
570.370
275.687
513.333
20
459.275
855.833
393.727
733.571
344.578
641.875
306.355
570.556
275.790513.500
21
459.447
856.111
393.875
733.810
344.707
642. 083
306.469
570.741
275.893
513.667
22
459.619
«56.389
394. (22
734.048
344.836
642.292
306.584
570.926
275.996
513.833
23
459.791
856.667
394.170
734.286
344.965
642. 5ul
306.699
571.111
276. 100
514.00C
24
459.963
856.944
394.317
734.524
345.094
642.708
306.814
571.296
276.203
514.167
25
460.135
857.222
394.465
734. 76L
345.223
642.917
306.928
571.481
276.3d6
514.333
26
460.302
857.500
394.608
735.000
345.348
643.125
307.040
571.667
276.407
514.500
21
460.469
857.778
394.751
735. 23b
345.474
643.333
307.151
571.852
276.507
514.667
28
460. 641
858.056
394.899
735.476
345.603
643.542
307.266
572.037
276.610
514.833
29
460.813
858.333
395.046
735.714
345.732
643.750
307.381
572.222
276.714
515.000
3O
460.985
858.611
395.193
735.952
345.861
643.958
307.495
572.407
276.817
515.167
31
461.157
858.889
395.341
736.190
345.990
644.167
307.610
572.593
276.920
515.333
32
461.329
859.167
395.488
736.429
346.119
644. 37f
307.725
572.778277.023
515.500
33
461.501
859.444
395.636
736.6(57
346.248
644. 583
307.840
572.963
277.127
515.667
34
461.673
859.722
395.783
736.905
346.377
644.792
307.954
573.148
277.230
515.833
35
461.845
860.000
395.931
737.143
346.506
645.000
308.069
573.333
277.333
516.000
36
462.017
860.278
396.078
737.381
346.635
645.208
308.184
573.519
277.436
516.167
37
462.189
860.556
396.225
737.619
340.764
645.417
308.298
573.704
277.540
516,333
38
462.361
860.833
396.373
737.857
346.893
645.625
308.413
573.889
277.643
516.500
39
462.533
861.111
396.520
738.09?
347.022
645.833
308 528
574.074
277.746
516.667
40
462.705
861.389
396.668
738.333
347.151
646.042
308.643
574.259
277.849
516.833
41
462.877
861.667
396.815
738.571
347.280
646.250
308.757
574.444
277.953
517.000
42
463.049
861.944
396.963
738.810
347.409
646.458
308.872
574.630
278.056
517.167
43
463.221
862.222
397.110
739.048
347.538
646.667
308.987
574.815
278.159
517.333
44
463.388
862.500
397.253
739.286
347.663
646.875
309.098
575.000
278.260
517.5CK
45
463.555
862.778
397.397
7'39.524
347.789
647.083
309.210
575. 185
278.360
517.667
46
463.727
863.056
397.544
739.762
347.918
647.292
309.324
575.370
278.463
517.833
47
463.899
863.333
397.691
740. (XX
348.047
647.500
309.439
575.556
278.567
518.000
48
464.071
863.61J
397.839
740.238
348.170
647.708
309.554
575.741
278.670
518.167
49
464.243
863.889
397.986
740.476
348.305
647.917
309.669
575.926
278.773
518.333
50
464.415
864.16;
398.134
740.714
348.434
648.125
309.783
576.111i278. 876
518.500
51
464.587
864.444 398 281
740.952
348.563
648.333
309.898
576. 296 '278. 980
518.667
52
464.759
864.722
398.429
741.190
348.692
648.542
310.013
576. 481 i279.083
518.833
53
464 931
865. 00! i
398.576
741.429
348.821
648.750
310.127
576.667279.186
519,000
54
465.103
865.278
398.723
741.667
348.950
648.958
310.242
576.852279.289
519.167
55
465.275
865.556
398.871
741.905
349.079
649.167
310.357
577.037279.393
519.333
56
465.447
865.833
399.018
742.143
349.208
649.375
310.472
577.222279.490
519.500
57
465.619
866.111
399.166
742.381
349.837
649.583
310.586
577.407279.599
519.667
58
465. 791 1866.389
399.313
742.619
349.466
649.792
310.701
577.593279.703
519.833
59
149
TABLE XIV. — ACTUAL TANGENTS, ETC.
53°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~O~
,2794. 52
5200.00
1397.31
.'000.00,931.603
1733.33
698.706
1300.00
5.59.075
1040.00
1
2795.55
5-201.67
1397.83
2600.83
931.947
1733.89
699.024
1300.4-2
559.281
1040.33
2
2796.58
5203.33
1398.34
'601.67
932.291
1734.44
699.282
1300.83
559 488
1040.67
3
2797.62
5205.00
1398.86
2602.50
932.635
1785.00699.540
1301.25
559.694
1041.00
4
2798.65
5206.67
1399.158
2603.33
932.971)
1735.56699.797
1301.67
559.900
1041.33
5
2799.68
5208.33
1399.89
26i)4.17
933.322
1736.lli700.055
1302.08
560.107
1041.67
6
2800.71
5210.00
1400.41
2605.00
933.666
1736. 67(700. 31 3
1302.50
560.313
1042.00
7
2801.74
5211.67
1400.92
2605.83
934.010
1737. 22!700. 571
1302.92
500.519
1042.33
8
2802.77
5213.33
1401.44
2606.67
9-34.354
1737.78
700 829
1303. 33
560.726
1042.67
9
2803.80
5215.00
1401.95
2607.50
934.698
1738.33
701.087
1303.75
560.932
1043.00
1O
2804.84
5216.67
1402.47
2608.33
9a5.041
1738.89
701.345
1304.17
561.138
1043.33
11
2805.87
5218.33
1402.98
2609.17
935.385
1739.44
701.603
1304.58
561.345
1043.67
13
2806.90
5220.00
1403.50
2610.00
935.729
1740.00
701.861
1305.00
561.551
1044.00
13
2807.96
5221.67
1404.03
2610.83
936.082
1740.56
702.126
1305.42
561.763
1044. as
14
2809.02
5223.33
1404.56
2611.67
936.436
1741.11
702.391
1305.83
501.1)75
1044.67
15
2810.05
5225.00
1405.08
2612.50
936.780
1741.67
702.648
1306.25
502.182
1045.00
16
2811.08
5226.67
1405.59
2613.33
937.123
1742.22
702.906
1306.67
562.388
1045.33
17
2812.11
5228.33
1406.11
2614.17
937.467
1742.78
703.164
1307.08
562.594
1045.07
18
2813.14
5230.00
140(5.62
2615.00
937.811
1743.33
703.422
1307.50
562. 81 1
1046.00
19
2814.1?
5231.67
1407.14
2615.83
938.155
1743.89
703.680
1307.92
563.007
1046.33
20
2815.21
5233.33
1407.65
2616.67
938.499
1744.44
703.9.38
1308. as
563.213
1046.67
21
2816.24
5235.00
1408.17
2617.50
938.843
1745.00
704.196
1308.75
563.420
1047.00
22
2817.2?
5236.67
1408.69
2618.33
9-59.186
1745.56
704.454
1301). 17
563.620
1047.33
23
2818.30
5238.33
1409.20
2619.17
939.530
1746.11
704.712
1309.58
503.832
1047.67
34
2819.33
5240.00
1409.72
2620.00
939.874
1746.67
704.969
1310.00
564.039
1048.00
35
2820.36
5241.67
1410.23
2620.83
940.218
1747.22
705.227
1310.42
564.245
1048.33
36
28-21.39
5243.33
1410.75
2621.67
940.562
1747.78
705.485
1310.83
564 451
1048.67
37
2822.43
5245.00
1411.26
262-2.50
910.905
1748.33
705.743
1311.25
564.658
1049.00
28
2823.46
5246.67
1411.78
2623.3'}
941.249
1718.89
700.001
1311.67
564.864
10-19. 33
39
2824.52
5248.33
141.2.31
2024. i;
U41.603
1749.44
70t5.260
1312.08
50.5. 071
1049.67
30
2825.58
5250.00
1412.84
2625.00
941.056
1750.00
706.531
1312.50
565.288
1050.00
31
2826.61
5251 . 67
1413 36
2625.83
942.300
1750.50
700.789
1312.92
50.5.494
1050.33
33
2827.64
5253.33
1413.87
2626.67
942.644
1751.11
707.047
1313.33
56c.701
1050.67
33
2828.67
5255.00
1414.39
2627.50
942.987
1751.67
707.305
1313.75
565.907
1051.00
34
2829.70
5256.67
1414.90
2628.33
943.331
1752.22
707. 563
1314.17
566.113
1051.33
35
2830.73
5258.33
1415.42
<J629.17
943.675
1752.78
707.820
131 4. 58
566.320
1051.67
36
2831.76
5260.00
1415.93
2630.00
944.019
1753. as
708.078
1315.00
566.526
1052.00
37
2832.80
5261.67
1416.45
2630.83
944.303
1753.89
708. 336
1315.45
566.732
1052.33
38
2833.83
5263.33
1416.97
2631.67
1)44.706
1754.44
708.594
1315.83
566.939
1052.67
39
2834.86
5265.00
1417.48
2632.50
945.050
1755.00
708.852
1316. '25
567.145
1053.00
40
2835.89
5266.67
1418.00
2633.33
945.394
1755.56
709.110
1316.67
567.351
1053.33
41
2830.95
5268.33
1418.53
2634.17
945.747
1756.11
709.375
1317.08
567.563
1053.67
43
2838.01
5270.00
1419.06
2635.00
946.101
1756.67
709.640
1317.50
567.775
1054.00
43
2839.04
5271.67
1419.57
2685.83
946.445
1757.22
709.898
1317.92
567.982
1054.33
44
2840.07
5273.33
1420.09
2636.67
946.788
1757.78
710.150
1318.33
568.188
1054.67
45
2841.10
5275.00
1420.60
2637.50
947.132
1758.33
710.414
1318.75
568.394
1055.00
46
2842.14
5276.67
1421.12
2638.33
947.476
1758.89
710.672
1319.17
568.601
1055.33
47
2843.17
5278. as
1421.64
2639.17
947.820
1759.44
710.929
1319.58
568.807
1055.67
48
2844.20
5280.00
1422.15
2640.00
948.164
1760.00
711.187
1320.00
569.013
1056.00
49
•2845.26
5281.67
1422.68
2640.83
948.517
1760.56
711.452
1320.42
569.225
1056.33
5O
2846.32
5283.33
1423.21
2641.67
948.870
1761.11
711.717
1320.83
569.438
1056.67
51
2847.35
5285.00
1423.73
2642.50
949/214
1761.67
711.975
1321.25
563.644
1057.00
53
2848.38
5286.67
1424.24
2643.33
949.558
1762.22
712.233
1321.67
569.850
1057.33
53
2849.41
5288.33
1424.76
2644.17
949.902
1762.78
712.491
1322.08
570.057
1057.67
54
•2850.44
5290.00
1425 27 j 2645. 00
950.240
1703.33
712.749
1322.50
570.263
1058.00
55
2851.50
5291.67
1425.80:26-45.83 950.591) 1763.89
713.014 1 1322. 92
570.475
1058.33
50
2852.56
5293.33
1426.33,2646.67 950.95-2 1764.44 713.279
1323.ai
570.687
1058.67
57
2853.59
5295.00
1426.85 2647.50 951.296 1765.00 713.537
1323.75
570.893
1059.00
58
2854. 63
5296.67
1427.37 2648.33 9M.640 1765.50
713.795
1324.17
571.100
1059.33
59
2855.66
5298.33
1427.88,2649.17,951.98411766.11
714 053
1324 58
571.306
1059.67
150
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve. 9° Curve.
10° Curve. \52°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. 1 Arc.
Tan.
Arc.
M.
405.963
866.667
399.461
742.857
349.595
650. 000 310. 816)577. 778
279. 8C6
520.0UO
O
466.135
866.944
399.608
743*. 095
349.724
650.208310.930
577.963
279.909
520.167
1
466.306
867.222
399.755
743.333
349.853
650.417311.045
578.148
280.012
520.333
2
466.478
867.500
399.903
743.571
349.982
650.625311.160
578.333
280.116
520.500
3
466.650
867.778
400.050
743.810
350.111
650.833311.274
578.519
280.219
520.667
4
466.822
868.056
400.198
744.048
350.240
651.042311.389
578.704
280.322
520.833
5
466.994
8(18.333
400.345
744.286
350.369
651.250311.504
578.889
280.425
521.000
6
467.166
868.611
400.493
744.524
350.498
651.458:311.619
579.074
280.529
521.167
7
467.3:38
868.889
400.640
744.7C2
350.627
651. 667 131 1.733
579.259
280.632
521.333
8
467.510
869.167
400.787
7'45.000
350.756
651.875311.848
579.444
280.735
521.500
9
467.682
869.444
400.935
745.238
350. 885
652.083
311.963
579.630
280.838
521.667
10
467.854
869.722
401.082
745.476
351.014 652.292312 077 1 579. 81 5
280.942
521.833
11
468.026
870.000
401.230
745.714
351.143
652.500312.192
580.000
281.045
522.000
12
468.203
870.278
401.381
745.952
351.276
652.708312.310
580.185
281.151
522.167
13
468.380
870.556
401.533
746.190
351.409
652.917|312.428
580.370
281.257
522.333
14
468.552
870.833
401.G80
746.429
351.538
653.125312.543
580.556
281.360
522.500
15
468.724
871.111
401.828
746.667
351.667
653.333312.657
580.741
281.464
522.667
16
468.896
871.389
401.975
746.905
351.796
653.542312.772
580.926
281.567
522.833
17
469.068
871.667
402.122
747.143
351.925
653.750312.887
581.111
281.670
523.000
18
469.239
871.944
402.270
747.381
352.051
653.958
313.001
581.296
281.774
523.167
19
469.411
872.222
402.417
747.619
352.183
654.167
313.116
581.481
281.877
523.333
20
469.583
872.500
402.565
747.857
352.312
654.375313.231
581.667
281.980
523.500
21
469.755
872.778
402.712
748.095
352.441
654.583313.346
581.852
282.083
523.667
22
469.927
873.056
402.860
748.333
352.570
654.792313.460
582.037
282.187
523.833
2*3
470.099
873.333
403.007
748.571
358.699
655. 0001313. 57 5
582.222
282.290
524.000
24:
470.271
873.611
403.154
748.810
352.828
655.208J313.690
582.407
282.398
524.167
25
470.443
873.889
403.302
749 048
352.957
655.417313.804
582.593
282.4%
524.333
26
470.615
874.167
403.449
749.286
353.086
655.625
313.919
582.778
282.600
524.500
27
470.787
874.444
403.597
749.524
353.215
655.833314.034
582.963
282.703
524.667
28
470.964
874. i&>
403.748
749.762
353.347
656.042314.152
583.148
282.809
524.833
29
471.141
875.000
403.900
750.000
353.480
056.250
314.270
583.333
282.915
525.000
3O
471.313
875.278
404.047
750.238
353.609
H56.458
314.384
583.519
283.018
525.167
31
471.485
875.550
404.195
750.476
353.738
656.667314.499
583.704
•^3.U'2
525.333
32
471.657
875.833
404.342
750.714
353.867
666.875814.614
583.889
283.225
525. 5CO
33
471.829
876.111
404.489
750.952
353.996
657. 083! 31 4. 728
584.074
283.328
525.667
34
472.000
876.389
404 637
751.190
354.125
657.2921314.843
584.259
283.431
525.833
35
472.172
876.667
404.784
751.429
354.254
657.500314.958
584.444
283.535
526.000
36
472.344
876.944
404 932
751.667
854.888
657.708
315.073
584.630
283.638
526.167
37
472.516
877.222
405.079
751.905
354.512
657.917
315.187
584. 815
283.741
526.333
38
472.688
877.500
405.226
752.143
354.641
658.125
315.302
585.000
283.845
526.500
39
472.860
877.778
405.374
752.381
354.770
658.333315.417
585.185
283.948
526.667
40
473.037
878.056
405.525
752.619
354.903
658. 5421815. 535
585.370
284.054
526.833
41
473 214
878.333
405.677
752.857
355.035
658.750315.653
585.556
284.160
527.000
42
473.386
878.611
405.824
753.095
355.164
658.958
315.767
585.741
284.263
527.167
43
473.558
87'8.8S9
405.972
753.333
355.293
659.167
315.882
585.926
284 367
527.333
44
473.730
879.167
406.119
753.571
355.422
659.375
315.997
586.111
284.470
527.500
45
473.902
879.444
406.267
753.810
955.652
659.583
316.111
586.296
284.573
527.667
46
474.074
879.722
406 414
754.048
355.681
659.792
316.226
586.481
284.676
527.833
47
474.246
880. OTO
406.561
754.286
355.810
660.000
316.341
586.667
284.780
528.000
48
474.422
880.278
406.713
754.524
355.942
660.208
316.459
586.852
284.886
528.167
49
474 599
880. r 56
406.865
754.762
356.075
660.417
316.577
587.037
284.992
528.333
50
474.771
880.833
407.012
755.000
356.204
6(50.625
316.691
587.222
285.095
528.500
51
474.943
881.111
407.159
755.238
356.383
660.833
316.806
587.407
285.198
528.667
52
475.115
881.389
407.307
755.476 3515.462
661.042
316.921
587.593285.302
528.833
53
475.287
881.667
407.454
755.714 356.591
661.250
317.035
587.778*85.405
52!). 000
54
475.464
8S 1.1)44
407.606
755.902856 723
(561.458
317.153
587. 9b3 285. 5 11
5-/9.167
55
475. 640 1 882. 222
407.757
756.190356.856
661.667
317.271
588.148285.617
529.333
56
475.812882.500
407.905
756.429
356.985
661.875
317.386
588.333285.721
529 . f>00
57
475.984 8H2.778
408.052
756.667
357.114
662.083
317.501
588.519285.824
529.6(57
58
476.156883.056
408.200
756.905
357.243
662.292317.615
588.704 285.927 529.833
59
151
TABLE XIV. — ACTUAL TANGENTS, ETC.
53°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
5300.00
Tan.
Arc.
Tau.
952.328
Arc.
Tan.
Arc.
Tan.
Arc.
0
2856.69
1428.40
2650.00
176H.07
714.311
1325.00
571.512
1000.00
1
2857.72
5301.07
1428.91
2050.83
1)52.672
1707.22
714.568
1325.42
571.719
1000.33
3
2858.75
5303.33
1429.43
2051.07
953.015
1707.78
714.820
1325.83
571.925
1060.67
3 | 2859.81
5305.00
1429.96
2652.50
953.309
1768.33
715.091
1326.25
572.137
1001.00
4 2800.87
5308.67
1430.49
2653.33
953.722
1708.89
715.350
1326.67
572.349
1001.33
5 2801.90
5308. 33
1431.00
2054.17
954.006
1709.44
715.014
1327.08
572.555
1061.07
G
2802.93
5310.00
1431.52
2655.00
9.54.410
1770.00
715.872
1327.50
572.702
1062.00
7
2803.99
5311.67
1432.05
2655.83
954.703
1770.56
710.137
1327.92
572.974
1002.33
8
2805.05
5313.33
1432.58
2056.07
955.110
1771.11
710.402
1328.33
573.180
1002.07
9
2800.09
5315.00
1433.10
2657.50
955.400
1771.67
710.660
1328.75
573.392
1003.00
1O
2867.12
5316.67
14-33.61
2658.33
955.804
1772.22
716.918
1329.17
573.599
1003.33
11
2868.15
5318.33
1434.13
2659.17
956.148
1772.78
717.176
1329.58
573.805
1003.07
12
2809.18
5320.00
1434.64
2660.00
956.492
1773.33
717.434
1330700
574.011
1004.00
13
2870.24
5321.07
1435.17
2600.83
956.845
1773.89
717.699
1330.42
574.2231004.33
14
2871.30
5323.33
1435.70
2661.67
957.198
1774.44
717.964
1330.83
574.435 1004.67
15
2872.33
5325.00
1436.22
2662.50
957.542
1775.00
718.222
1331.25
574.6421065.00
16
2873.30
5320.07
1436.73
2663.33
957.886
1775.56
718.480
1331.67
574.848 1065.33
17
2874.39
5328.33
1437.25
2604.17
958.230
1776.11
718.738
1332.08
575.0541065.67
18
2875.42
5330.00
1437.77
2665.00
958.574
1776.67
718.995
1332.50
575.201 1006.00
19
2876.48
5331.67
1438.30
2665.83
958.927
1777.22
719.261
1332.92
575.473
1066.33
20
2877.54
5333.33
1438.83
2666.67
959.280
1777.78
719.526
1333.33
575.085
1066.67
21
2878.58
5335.00
1439 34
2667.50
959.024
1778.33
719.783
1 333.75
575.891 1007.00
22
2879.61
5336.67
1439.86
2668.33
959.908
1778.89
720.041
1334.17
.170.097(1007.33
23
2880.07
5338.33
1440.39
2669.17
900.321
1779.44
72^.306
1334.58
576.309 1067.67
21
2881.73
5340.00
1440.92
2670.00
900.675
1780.00
720.571
1335.00
576.522 1068.00
25
2882.70
5341.67
1441.43
2670.83
961.019
1780.56
720.829
1335.42
576.7281068.33
2G
2883.79
5343.33
1441.95
2671.67
1)61.888
1781.11
721.087
1335.83
576.934 1068.67
21
2884.85
5345.00
1442.48
2072.50
961.710
1781.67
721.352
1336.25
577.140 1069.00
2$
2885.91
5346.67
1443.01
2673.33
903.069
1782.22
721.017
1336 07
577.358
1009.33
29
288(5.94
5348.33
1443.52
2674.17
962.413
1782.78
721.875
1337.08
577.565
1069.67
30
2887.97
5350.00
1444.04
2675.00
962.757
1783.33
722.133
1337.50
577.771
1070.00
31
2889.03
5351.67
1444.57
2075.83
903.110
1783.89
722.398
1337.92
577.983
1070.33
32
2890.09
5353.33
1445.10
2076.67
963.463
1784.44
722.063
1338.33
578.195
1070.07
33
2891.12
5355.00
1445.62
2677.50
963.807
1785.00
722.921
1338.75
578.401
1071.00
34
2892.10
5356.67
1446.13
2078.33
964.151
1785.56
723.179
1339.17
578.608
1071.33
35
2893.22
5358.33
1446.66
2679.17
964.504
1786.11
723.444
1339.58
578.814
1071.67
36
2894. 2S
5360.00
1447.19
2680.00
964.858
1786.07
723.709
1340.00
579.020 1072.00
37
2895.31
5361.67
1447.71
2080.83
965.202
1787.22
723.967
1340.42
579.23211072.33
38
2896.34
5363.33
1448.22
2681.67
965.545
'787.78
724.225
1340.83
579.415 1072.67
39
2897.40
5365.00
1448.75
2682.50
905.899
788.33
724.490
1341.25
579.657
1073.00
40
2898.46
5366.67
1449.28
2683.33
963.252
788.89
724.755
1341.67
579.809
1073.33
41
2899.49
5368.33
1449.80
2084.17
906.596
789.44
725.013
1342.08
580.075
1073.07
42
29:>0.52
5370.00
1450.31
2085.00
960.940
790.00
725.271
1342.50
580.281
1074.00
43
2901.58
5371.67
1450.84
2085.83
9(57.293
1790.56
725.530
1342.92
580.493 1074.33
44 2902.64
5373.33
1451.37
2086.67
967.617
1791.11
725.801
1313 33
580. 705 '1074. 07
45 2903.07
5375.00
1451.89
2687.50
967.990
1791.67
726.059
1343 75
580.9121075.00
46 2904.70
5376.67
1452.40
2688.33
968.334
1792.22
726.317
1344.17
581. 11 8! 1075. 33
47 [2905.76
5378.33
1452.93
2689.17
968.088
1792.78
726.582
1344.58
581. 330; 1075. 07
48 '2006.82
5380.00
1453.46
2690.00
969.041
1793.33
726.847
1345.00
581.542 1076.00
49
2907.85
5381.67
1453.98
2690.83
969.385
1793.89
727.105
1345.42
581.749
1076.33
50
2908.89
5383.33
1454.50
2691.67
969.729
1794.44
727.362
1345.83
581.955
1076.67
51
2909.95
5385.00
1455.03
2692.50
970.082
1795.00
727.627
1316.25
58 J.I 07; 1077. 00
52
2911.01
5386.67
1455.56
2693.33
970.435
1795.56
727.892
1346.07
582.379 1077.33
53
2912.07
5388.33
1456.09
2694.17
970.789 1790.11
728. 15S
1347.08
582.591 1077.07
54
2913.13
5390.00
1456.62
2695.00
971.1421796.07
728 423
1317 50
582. S03 1078.00
55
2914.16
5391.67
1457.13
2095.83
971.486 1797.22
728.080 1347.92
583.009 1078.33
56
2915.19
5393.33
1457.65
2096.67
971.8301797.78
728.938 13l8.:J,3i583.216 1078.07
57
2916.25
5395.00
1458.18
2097.50
972.183 1798.33
729 . 203 1 3 48 . 75 5«3 . 428 1 079 . 00
58
2917.31
5396.67
1458.71
2698.33
972.530 1798.89
729 . 408 1 3 10.1 7 583 .(3401 01 9 . 33
59
2918.37
5398.33
1459.24
2099 17
972.890 1799.44
729.733 1319.58!583.852 1079.07
152
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
53-
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
476.328
8837333
408.347
757.143
357.372
662.500
317.730588.889
286.030
530.000
O
476.500
883.611
408.494
757.381
357.501
662.7081317.845589.074
286.134
530.167
1
476.672
883.889
408.642
757.619
357.630
662.917
317.959589.259
286.247
530.333
2
476.849
884.167
408.793
757.857
357.763
663.125
318.077
589.444
286.343
530.500
3
477.026
884.444
408.945
758.095
357.895
663.333
318.195
589.630
286.449
530.667
4
477.198
884.722
409.092
758.333
358.024
663.542
318.310
589.815
286.552
530.833
5
477.370
885.000
409.240
758.571
358.153
663.750
318.425
590.000
286.656
531.000
6
477.546
885.278
409.391
758.810
358.286
063.958
318.543
590.185
286.762
531.167
7
477.723
885.556
409.543
759.048
358.419
664.167
318.660
590.370
286.868
531.333
3
477.895
885.833
409.690
759.286
358.548
664.375
318.775
590.556
286.971
531.500
9
478.067
886.111
409.838
759.524
358.677
664.583
318.890
590.741
287.074
531.667
10
478.239
886.389
409.985
759.762
358.806664.792
319.005
590.926
287.178
531.833
11
478.411
886.667
410.132
760.000
358.935665.000
319.119
591.111
287.281
532.000
12
478.588
886.944
410.284
760.238
359.0671665.208
319.237
591.296
287.387
532.167
13
478.765
887.222
410.435
760.476
359. 200 1665.417
319.355
591.481
287.493
532.333
14
478.936
887.500
410.583
760.714
359.329:665.625
319.470
591.667
287.596
532. f,00
15
479.1 Ob
887.778
410.730
760.952
359. 458 1665.833
319.584
591.852
287.700
532.667
16
479.280
888.056
410.878
761.190
359.587
666.042
319.699
592.037
287.803
532.833
17
479.452
888.333
411.025
761.429
359.716
666.250
319.814
592.222
287.906
533. OOC
18
479.629
888.611
411.177
761.667
359.849
666.458
319.932
592.407
288.012
533.167
19
479.806
888.889
411.328
761.905
359.981
666.667
320.050
592.593
288.119
533.333
20
479.978
889.167
411.476
762.143
360.110
666.875
320.164
592.778
288.222
533.500
21
480.150
889.444
411.623
762.381
360.239
667.083
320.279
592.963
288.325
533.667
22
480.327
889.722
411.775
762.619
360.372
667.292
320.397
593.148
288.431
533.833
23
480.503
890. ('00
411.926
762.857
360.504
667.500
320.515
593.333
288.537
534.001
24
480.675
890.278
412.073
763.095
360.633
667.708
320.630
593 519
288.641
534.167
25
480.847
890.556
412.221
763.333
360.762
667.917
320.744
593.704
288.744
534.333
26
481.024
890.833
412.372
763.571
360.895
668.125
320.862
593.889
288.850
534. 50(
27
481.201
891.111
412.524
763.810
361.028
668.333
320.980
594.074
288.956
534.667
28
481.373
891.389
412.671
764.048
361.157
668.542
321.095
594.259
289.059
534.833
29
481.545
891.667
412.819
764.286
361.286
668.750
321.210
594.444
289.163
535. 00(
30
481.721
891.944
412.970
764.524
361.418
668.958
321.327
594.630
289.269
535.167
31
481.898
892.222
413.122
764.762
361.551
669.167
321.445
594.815
289.375
535.333
32
482.070
892.500
413.269
765. 0()(
361.680
669.375
321.560
595.000
289.478
535.500
33
482.242
892.778
413.417
765.238
361.809
669.583
321.675
595.185
289.581
535.667
34
482.419
893.056
413.568
765.476
361.942
669.792
321.793
595.370
289.688
535.833
35
482.596
893.333
413.720
765.714
362.074
670.000
321.911
595.556
289.794
536.000
36
482.768
893.611
413.867
765.952
362.203
670.208
322.025
595.741
289.897
536.167
37
482.939
893.889
414.015
766.190
362.332
670.417
322.140
595.926
290.000
536.333
38
483.116
894.167
414.166
766.429
362.465
670.625
322.258
596.111
290.106
536.500
39
483.293
894.444
414.318
766.667
362.597
670.833
322.376
596.296
290.213
536.667
40
4&3.46S
894.722
414.465
766.905
362.726
671.042
322.490
596.481
290.316
536.833
41
483.637
895.000
414.612
767.143
362.855
671.250
322.605
596.667
290.419
537.000
42
483.814
895.278
414.764
767.381
362.988
671.458
322.723
596.852
290.525
537.167
43
483.990
895.556
414.915
767.619
363.121
671.667
322.841
597.037
290.631
537.333
44
484 162
895.833
415.063
767.857
363.250
671.875
322.956
597.222
290.735
537.500
45
484.334
896.111
415.210
768.095
363.379
672.083
323.070
597.407
290.838
537.667
46
484.511
896.389
415.362
768.333
363.511
672.292
323.188
597.593
290.944
537.833
47
484.688
896.667415.513
768.571
363.644
672.500
323.306
597.778
291.050
538.000
48
484.860
896.944
415.661
768.810
363.773
672.708
323.421
597.963
291.153
538.167
49
485.032
897.222
415.808
769.048
363.902
672.91?
323.536
598.148
291.257
538.333
50
485.208
897.500
415.960
769.286
364.035
673.125
323.653
598.333
291.363
538.500
51
485.385
897.778
416.111
769.524
364.167
673.333
323.771
598.519
291.469
538.667
52
485.562
898.056
416.263
769.762
364.300
673.542
323.889
598.704
291.575
538.833
53
485.739
898.333
416.414
770.000
364.432
673.750
324.007
598.889
291.681
539.000
54
485.911
486.083
898.611
898.889
416.562
416.709
770.238
770.476
364.561 673.958
364.690674.167
324.122
324.237
599.074
599.259
291.784
291.888
539.167
539.333
55
56
486.2591899.167
416.861
770.714 364.823 674.375
324.354
599.444
291.994
539.500
57
486.436899.444
417.012
770.952
364.956674.583
324.472
599.630
292.100
539.667
58
486.613i899.722417.164
771 . 190
365.088674.792
324.590
599.815 292.206
539.833
59
153
TABLE XIV.— ACTUAL TANGENTS, ETC.
54°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M[7
~o~
Tan.
2919743
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
584.004
Arc.
5400.00
1459.77
2 -00.00
973.243
1SOO.OO
729.999
1350.00
1080.00
1
2920.46
5401.6?
14i;0.2,s
2? 00. &i
913.587
IKK). 50
730.250
1350.42
584.270
1080.33
3
2921.49
5403 33
1400.80
2?01.6:
9 Hi. 931
1801.11
730.514
1350.83
584.477
1080.07
3
2922.55
5405 . 00
1461.33
2702.50
J74.384
1801.67.
730.779
1351.25
584.089
1081.00
4
2923.61
5406.6?
1461.86
2703.33
•J74.G37
1802.22
731.044
1351.67
584.901
1081.33
5
2924.67
5408.33
1462 39
2704.1?
974.991
1802.78
731.309
1352.08
585.113 1(81.67
6
2925.73
5410.00
1462.92
2705.0.1
975.344
1803.33
731.574
1352.50
585.325
1082.00
7
2926.76
5411.6?
1463.43
2705.83
975.688
1803.89
731.832
1352.92
585.531
1083.33
8
2927.79
5413.33
1463.95
2706.67
976.032
1804.44
732.090
1353.33
585.738
1082 67
9
2928.85
5415.00
1464.48
2707.50
976.385
1805.00
732.355
1353.75
585.950
1083.00
1O
2929.91
5416.67
1465.01
2708.33
i)76.739
1805.56
732.620
1354.17
586.162
1083.33
11
2930.97
5418.33
1465.54
2709.1?
977.092
1806.11
732.885
1354.58
586.374 1083.67
12
2932.03
5420.00
1466.07
2710.00
977.445
1806.67
733.150
1355.00
586.580:1084.00
13
2933.07
5421.6?
1466.5'J
2710.83
977.789
1807.22
733.408
1355.42
580.792 1084.33
14
2934.10
5423.33
1467 10
2711.6?
978.133
1807.78
733.666
1355.83
580.999 1084.67
15
2935.16
5425.00
1467.63
2712.50
978.486
1808.33
733.931
1356.25
587.211 1085.00
16
2936.22
5426.67
1468.16
2713.83
978.840
1808.89
734.190
1356.6?
587.4231085.33
17
2937.28
5428 33
1468.69
2714.17
979.193
1809.44
734.461
1357.08
587.635 1085.67
18
2938 34
3 430. 00
1469.22
2715.00
979.546
1810.00
734.726
1357.50
587.847 1086.00
19
2939.37
5431.6?
1469.74
2715.83
979.890
1810.56
734.984
1357.92
588.053
1086.33
30
2940.40
5433.33
1470.25
2716.67
980.234
1811.11
735.242
1358.33
588.259
1086.67
31
2941.46
5435.00
1470.78
2717.50
980.587
1811.67
735.50?
1358.75
588. 4? 1(1087.00
33
2942.52
5436.67
1471.31
2718.33
980.941
1812.22
735.772
1359.17
588.684J1087.33
33
2943.58
54138.33
1471.84
2719.1?
981.294
1812.78
736.037
1359.58
588.896
1087.67
34
2944.64
5440.00
1472.37
2720.00
981.647
1813.33
736.302
1360.00
589.108
1088.00
35
2945.70
5441.6?
1472.90
2720.83
982.001
1813.89
736.567
1360.42
589.320
1088.33
36
2946.76
5443.33
1473.43
2721.67
982.354
1814.44
736.832
1360.83
589.532
1088.67
37
2947.82
5445.00
1473.96
2722.50
982.708
1815.00
737.098
1361 25
589.744
1089.00
38
2948.88
5446.6?
1474.49
2723.33
983.061
1815.56
737.303
1301.67
589.950
1089.33
39
2949.91
5448.33
1475.01
2724.1?
983.405
1816.11
737.620
1362.08
590.162
1089.67
30
2950.94
5450.00
1475.52
2725.00
983.749
1816.67
737.878
1362.50
590.309
1090.00
31
2952.00
5451.6?
1476.05
2725.83
984.102
1817.22
738.143
1362.92
590.581
1090.33
33
2953.06
5453.33
1476.58
2726.67
984.455
1817.78
738.408
1363.33
590.793
1090.67
33
2954.12
5455.00
1477.11
2727.50
984.809
1818.33
738.673
1363.75
591.005
1091.00
34
2955.18
5456.67
1477.64
2728.33
1)85.162
1818.89
738.939
1364.17
591.217
1091.33
35
2956.24
5458.33
1478.17
2729.17
985.516
1819.44
739.204
1364.58
591.429
1091.67
36
2957.30
5460.00
1478.70
2730.00
985.869
1820.00
739 469
1365.00
591.641
1092.00
37
2958.36
5461.6?
1479.23
2730.83
986.222
1820.56
739.734
1365.42
591.853! 1092. 33
38
2959.42
5463.33
1479.76
2131.6?
986.575
1821.11
739.999
1365.83
592.065 1092.67
39
2960.48
5465.00
1480.30
2732.50
986.929
1821.67
740.264
1366.25
592.277
1093.00
40
2961.54
5466.67
1480.83
2733.33
987.282
1822.22
740.529
1366.6?
592.489
1093.33
41
2962.57
5468.33
1481.34
2734.17
987.626
1822.78
740.78?
1367.08
592.696 1093.67
43
2963.60
5470.00
1481.86
2735.00
987.970
1823.33
741.045
1367.50
592.902 1094.00
43
2964.66
5471.67
1482.39
2735.83
988.323
1823.89741.310
1367.92
593.114 1 094.3 S
44
2965.72
5473.33
1482.92
2736.67
988.677
1824.441741.575
1368.331593.320
1094.67
45
2966.78
5475.00
1483.45
2737.50
989.030
1825.00:741.840
1368. 75 1 593. 538
1095.00
46
2967.84
5476.67
1483.98
2738.33
989.383
1825.56
742.105
1369.17
593.750 1095.33
47
2968.90
5478.33
1484.51
2739.17
989.737
1826.11
742.370
1369.58
593.962 1095.07
48
2969.96
5480.00
1485 04
2740.00
990.090
1826.6?
742.635
1370. 00 594.1741 1096. 00
49
2971.02
5481.67
1485.57
2740.83
990.443
1827.22
742.900
1370.42
594.386
1096.33
5O
2972.08
5483.33
1486.10
2741.67
990.797
1827.78
743.165
1370.83
594.598
1096.67
51
2973.14
5485.00
1486.63
2742.50
991.150
1828.33743.430
1371.25:594.810
1097.00
53
2974.20
5486 67
1487.16
2743.33
991.503
1828.89743.695
1371.67595.022
1097.33
53
2975.26
5488.33
1487.69
2744.17
991.857
1829.44743.960
1372.08595.235
1097.07
54
2976.32
5490.00
1488.22
2745.00
992.210
1830.00744.225
1 372. 50 : 595. 447
1098.00
55 2977.385491.67
1488.752745.83
992.564
1830.56 744.490 1372.92 595. 659! 1098. 33
5612978.445493.33
1489. 28 [2746. 67
992.917
1 83 1 . 1 1 744 . 755 ! 1 373 . 33 595 . 871 1 098 . 67
57 3979.505495.00
1489.81
2747.50
993 . 270 1 83 1 . 67 74 1 . 020 1 1 373 . 75 596 . 083 1 099 00
58 2980.565496.67
1490.34
2748.33
993 . 624 1832 . 22 745 . 285 j 1374 . 1 ? 5. -6 . 295 1 099 . 33
5912981.625498.33
1490.8?
2749 1 7
993 . 9771 1 832 . 78 745 . 550! 1374 . 58 59(1 . 507 1 099 . 67
154
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
54°
Tan.
Arc.
Tan.
417.315
Arc.
771 .429
Tau.
365.221
Arc.
Tan.
Arc.
Tan.
Arc.
540.000
M7
~o"
486.790
JOO.OOO
675.000
324.708
600.000
292.312
486.962
900. 27S
417.463
771.667
365.350
675.208:324.823
600.185
292.415
540.167
i
487.134
900.550
417.610
771.905
365.479
675. 41 7 j 324. 938
600.370
292.519
540.333
2
487.310
900.833
417.762
772.143
365 612
675.625325.055
600.556
292.625
540.500
3
487.487
901.111
417.913
772.381
365.744
675.833
325.173
600.741
292.731
540.667
4
487.664
901.3=9
418.065
772.619
365.877
676.042
325.291
600. 926' 292. 837
540.833
5
487.841
901.667
418.216
772.857
366.009
676.250
325.409
601.111
292.943
541.000
6
488. 012
901.944
418.364
773.095
366.138
676.458
325.524
601.296
293.047
541.167
7
488.184
902.222
418.511
773.333
366.267
676.667
325.639
601.481
293.150
541.333
8
488.361
902.500
418.662
773.571
366.400
676.875
325.756
601.667
293.256
541.500
9
488.538
902.778
418.814
773.810
366.533
677.083
325.874
601.852
293.362
541.667
1O
488.715903.056
418.966
774.048
366.665
677.292
325.992
602.037
293.468
541.833
11
488.891 903.333
419.117
774.280
366.798
677.500
326.110
602.222
293.574
542.000
12
489.063903.611
419.264
774.524
366.927
677.708
326.225
602.407
293.678
542.167
13
489.235903.889
419 412
774.762
367.056
677.917
326.340
602.593
293.781
542.333
14
489.412904.167
419.563
775.000
367.188
678.125
326.45?
602.778
293.887
542.500
15
489.589
J04.444
419.715
775.238
367.321
678.333
326.575
602.963
293.993
542.667
16
489.766
904.722
419.866
775.476
367.454
678.542
326.693
603.148
294.099
542.833
17
489.942
905.000
420.018
775.714
367.586
678.750
326.811
603.333
294.205
543.000
18
490.114
905.278
420.165
775.952
367.715
678.958
326.926
603.519
294.309
543.167
19
490.286
905.556
420.313
776.190
367.844
679.167
327.041
603.704
294.412
543.333
20
490.463
905.833
420.464
776.429
367.977
679 375
327 158
603.889
294.518
543.500
21
490.640
906.111
420.616
776.667
368.109
679.583
327.276
604.074
294.624
543.667
22
490.817
906.389
420.767
776.905
368.242
679.792
327.394
604.259
294.730
543.833
23
490.993
906.667
420.919
777.143
368.375
680.000
327.512
604.444
294.836
544.000
24
491.170
906.944
421.070
777.381
368.507
680.208
327.630
604.630
294.943
544.167
25
491.347
907.22V
421.222
777.619
368.640
680.417
327.748
604.815
295.049
544.333
26
491.523
907.500
421.373
777.857
368.773
680.625
327.866
605.000
295.155
544.500
27
491.700
907.778
421.525
778.095
368.905
(580.833
327.984
605.185
295.261
544.667
28
491.872
908.056
421.672
778.333
369.034
681.042
328.098
605.370
295.364
544.833
29
492.044
908.333
421.820
778.571
369.103
681.250
328.213
605.556
295.468
545.000
30
492.221
908.611
421.971
778.810
369.296
681. 45b
328.331
605.741
295.574
545.167
31
492.398
908.889
422.123
779.048
369.428
681.667
328.449
605.926
295.680
545.333
32
492.574
909.167
422.274
779.286
369.561
681.875
328.507
606.111
295.786
545.500
33
492.751
909.444
422.426
779.524
369.694
682 083
328.685
606.296
295.892
545.667
34
492.928
909.722
422.577
779.762
369.826
682.292
328.803
606.481
295.998
545.833
35
493.105
910.000
422.729
780.000
369.959
682.500
328.920
606.667
296.104
546.000
36
493.281
910.278
422.880
780.238
370.091
682.708
329.038
606.852
296.210
546. 16r
37
493.458
1)10.556
423.032
780.476
370.224
682.917
329.156
607.037
296.317
546.333
38
493.635
910.833
423.183
780.714
370.357
683.125
329.274
607.222
296.423
546.500
39
493.812
911.111
423.335
780.952
370.489
683.333
329.392
607.407
296.529
546.66"
40
493.984
911.389
423.482
781.190
370.618
683.542
329.507
607.593
296.632
546.833
41
494.156
911.667
423.630
781.429
370.747
683.750
329.621
607.778
296.735
547.000
42
494.332
911.944
423.781
781.667
370 880
683.958
329.739
607.963
296.841
547. 16r
43
494.509
912.222
423.933
781.905
371.012
684.167
329.857
608.148
296.948
547.333
44
494.686
912.500
424.084
782.143
371.145
684.375
329.975
608.333
297.054
547.500
45
494.863
912.778
424.236
782.381
371.278
684.583
330.093
608.519
297.160
547. 66r
46
495.039
913.056
424.387
782.619
371.410
684.792
330.211
608 704
297.266
547.833
47
495.216
913.333
424.539
782.857
371.543
685.000
330.329
608.889
297.372
548.000
48
495.393
913.611
424.690
783.095
371.675
685.208
330.447
609.074
297.478
548.16^
49
495.569
913.889
424.842
783.333
371.808
685.417
330.565
609.259
297.584
548.333
50
495.746
914.167
424.994
783.571
371.941
685.625
330.683
609.444
297.691
548.500
51
495.923
914.444
425.145
783.810
372.073
685.833330.800
609.630
297.797
548. 66'
52
496.100
496.276
914.722
915.000
425.297
425.448
784.048
784.286
372.206
372. 338
686.042330.918
686.250331.036
609.815
610.000
297.903
298.009
548.833
549.001.
53
54
496.453915.278
425.600
784.524
372.47
686.458331.154
610.185
298.115
549 167
55
496.630915.556
425.751
784.765,
372.604
686.667 331 .272 610.370
298.221
549.333
56
496.807
915.833
425.903
785.000
372.736
686.875331.390610.556
298.327
549.500
57
496.983
916.111
426.054
785 238
372.869
687 . 083 i 331 . 508 610 . 741
298.433
549.667
58
497.1601916.389
426.206
785.476
373.002
687. 292 331. 6261610. 926
298.540
549.833
59
155
TABLE XIV. — ACTUAL TANGENTS, ETC.
55°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
59t) .719
Arc.
O
2982 68
5500.00
1491.40
2750.00
994.330
1 8-13.33
745.815
1375.00
1
2983 '.74
5501.67
1491.93
2750.83
994.684
1833.81)
746.080
1375.42
596.931 1100.33
2
2984.80
5503.33
1492.46
•2751.67
995.037
1834.44
746.346
1375.83
597.143 1100.6?
3
2985. 8(3
5505.00
1492.99
2752.50
995.390
1835.00
746.611
1376.25
597. 355 ! 1101. 00
4
•2986.92
5506.67
1493.52
2753.33
995.744
18:45.56
746.876
1376.67
597. 567) 1101. 33
5
2987.98
5508.33
1494.05
2754.17
996.097
1836.11
747.141
1377.08
597.779
1101.6?
6
2989.04
5510.00
1494.58
2755.00
996.451
1836.67
747.406
1377.50
597.991
1102.00
7
2990.10
5511.67
1495.11
2755.83
996.804
1837.22
747.671
1377.92
598.203
1102.3:]
8
2991.16
5513.33
1495.64
2756.67
997.157
1837.78
747.936
1378.33
598.415
1102.6?
9
2992.22
5515.00
1496.17
2757.50
997.511
1838.33
748.201
1378.75
598.628
1103.00
10
2993.28
5516.67
1496.70
2758.33
997.864
1838.89
748.466
1379.17
598.840
1103 33
11
2994.34
5518.33
1497.23
2759.17
998.217
1839.44
748.731
1379.58
599.052
1103.6?
12
2995.40
5520.00
1497.76
2760.00
998.571
1840.00
748.996
1380.00
599.264
1104.00
13
2996.46
5521.67
1498 29
2760.83
998.924
1840.56
749.261
1380.42
599.476
1104.33
14
2997.52
5523.33
1498.82
2761.67
999.277
1841.11
749.526
1380.83
599.688
1104.67
15
2998.58
5525.00
1499.35
2762.50
999.631
1841.67
749.791
1381.25
599.900
1105.00
16
2999.64
5526.67
1499.8^
2763.33
999.984
1842.22
750.056
1381.67
600.112
1105.33
17
3000.70
5528. 3 3
1500.41
•2764.17
1000.34
1842.78
750.321
1382.08
600.324
1105.6?
18
3001.76
5530.00
1500.94
2765.00
1000.69
1843.33
750.586
1382.50
600.536
1106.00
19
3002.82
5531.6?
1501.47
2765.83
1001.04
1843.89
750.851
1382.92
600.748
1106.33
2O
3003.88
5533.33
1502.00
2766.67
1001.40
1844.44
751.116
1383.33
600.960
1106.6?
21
3004.94
5535.00
1502.53
2767.50
1001.75
1845.00
751.381
1383.75
601.172
1107.00
22
3006.00
5536.6?
1503.06
•2768.33
1002.10
1845.56
751.646
1384.17
601.384
1107.33
23
3007.06
5538.33
1503.59
•2769.17
1002.46
1846.11
751.912
1384.58
601.596
1107.6?
24
3008.12
5540.00
1504.12
2770.00
1002.81
1846.67
752.177
1385.00
601.808
1108.00
25
3009.18
5541.67
1504.66
2770.83
1003.16
1847.22
752.442
1385.42
602.021
1108.33
26
3010.24
5543.33
1505.18
2771.67
1003.5-2
1847.78
7'52.707
1385.83
602.233
1108.67
27
3011.30
5545.00
1505.71
2772.50
1003.87
1848.33
752.972
1386.25
602.445
1109.00
28
3012.36
5546.67
1506.24
2773.33
1004.22
1848.89
753.237
1386.67
602.657
1109.33
29
3013.45
5548.33
1506.78
2774.17
1004.59
1849.44
753 509
1387.08
602.875
1109.67
30
3014.54
5550.00
1507.33
2775.00
1004.95
1850.00
753.781
1387.50
603.092
1110.00
31
3015.60
5551.67
1507.86
2775 . 83
1005.30
1850.56
754.046
1387.92
603.304
1110.33
32
3016.66
5553.33
1508.39
2776.67
1005.66
1851.11
754.311
1388.38
603.516
1110.67
33
3017.72
5555.00
1508.92
2777.50
1006.01
1851.67
754.576
1388.75
603.728
1111.00
34
3018.78
5556.67
1509.45
2778.33
1006.36
1852.22
754.841
1389.17
603.941
1111.33
35
3019.84
5558.33
1509.98
2779.17
1006.72
1852.78
755.106
1389.58
604.153
1111.67
36
3020.90
5560.00
1510.51
2780.00
1007.07
1853.33
755.371
139J.OO
604.365
1112.00
37
3021.96
5561.67
1511.04
2780.83
1007.42
1853.89
755.637
1390.42
604.57?
1112.33
38
3023.02
5563.33
1511.57
2781.67
1007.78
1854,44
755.902
1390.83
604.789
1112.67
39
3024.08
5565.00
1512.10
2782.50
1008.13
1855.00
756.167
1391.25
605.001
1133.00
4O
3025.14
5568.67
1512.63
2783.33
1008.48
1855.56
756.432
1391.67
605.213
1113.33
41
3026.23
5568.33
1513.17
2784.17
1008.851856.11
756.704
1392.08
605.431
1113.67
42
3027.32
5570.00
1513.71
2785.00
1009.21 1856.67
756.976
1392.50
605.649
1114.00
43
44
3028.38
30-29.44
5571.67
5573.33
1514.24
1514.77
2785.83
2786.67
1009. 56 [ 1857. 22
1009.92 1857.78
757.241
757.506
1392.92
1393.33
605.861
606.073
1114.33
1114.67
45
3030.50
5575.00
1515.30
2787.50
1010.27
1858.33
757.771
1393.75
606.285
1115.00
46
3031.56
5576 . 67
1515.83
2788.33
1010. 62! 1858. 89
758.036
1394.17
606.497
1115.33
47
3032.62
5578.33
1516.36
2789.17
1010.98 1859.44
758.301
1394.58
606.709
1115.67
48
3033.68
5580.00
1516.89
2790.00
1011.331860.00
758.566
1395.00
606.921
1116.00
49
3034.77
5581.67
1517.44
2790.83
1011.69
1860.56
758.839
1395.42
607.139
1116.33
50
3035.86
5583.33
1517.98
2791.67
1012.06
1861.11
759.111
1395.83
607.356
1116.67
51
3036.92
5585.00
1518.51
2792.50
1012.4l|l861.67
759.376
1396.25
607.569
1117.00
52
3037.98
5586.67
1519.04
2793.33
1012.761862.22
759.641 1396.67
607.781
1117.33
53
3J39.04
5588.33
1519.57
2794.17
1013.12 1862.78
759.9061397.08
607.993
1117.67
54
3040.09
5590.00
15-20.10
2795.00
1013. 47 1 1868. 33
760.171! 1397. 50
608.205
1118.00
55
3041.15
5591. 67 11520. 63
2795.83
1013.82 1863 89
760.4361397.92
608.417
1118.33
50
3042.21
5593.331521.16
2796.67
1014.181864.44
760.701 1398.33
608.629
1118.67
57
3043.30
5595.00
1521.71
2797.50
1014.54 1865.00
760.973 1398.75
608.847
1119.00
58
3044.39
5596.67
1522.25
2798.33
1014.90 1865.56
761.2461399.17
609.064
1119.33
59 (3045.45
5598.331522.78
2799.17
1015.261866.11
761.511 1399. 58 609. 276
1119.67
.156
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
55°
Tan.
497^337
Arc.
916.667
Tan.
Arc.
Tan.
Arc.
687.500
Tan.
Arc.
Tan.
Arc.
31.
426.357
785.714
373.134
331.744
611.111
298.646
550.000
497.514
916.944
426.509
785.952
313.267687.708
331.861
611.296
298.752550.16?
1
497.690
917.222
426.660
786.190
373.399 687.917
331.979
611.481
298.858
550.333
497.867
917.500
426.812
786.429
373.532
688.125
332.097
611.667
298.964
550.500
3
498.044
917.778
426.963
786.66?
373.665
688.333
332.215
611.852;299.070
550.667
4
498.221
918.056
427.115
786 905
373.797
688.542
332.333
612.037
299.176
550.833
5
498.39?
918.3:33
427.266
787.143
373.930
688.750
332.451
612.222
299.283
551.000
6
498.574
918.611
427.418
787.381
374.062688.958
332.569
612.407
299.389
551.167
7
498.751
918.889
427.569
787.619
374.195689.167
332.68?
612.593
299.495
551.333
8
498.928
919.167
427.721
787.857
374.328
689.375
332.805
612.778
299.601
551.500
9
499.104
919.444
427.872
788.095
374.460
689.583
332.923
612.963
299.707
551.667
1O
499.281
919.722
428.02!
7S8.333
374.593
689.79;:
333.040
613.148
299.813
551.833
11
499.458
920.000
428.175
788.571
374.725
690. COO
333.158
613.333
299.919
552.000
12
499.635
920.278
428.327
78S.810
374.858
690.208
333.276
613.519
300.025
•552 . 1 67
13
499.811
920.556
428.478
789.048
374.991
690.417
333.394
613.701
300.132
552.333
14
499.988
920.833
428.630
789.286
375.123
690.625
333.512
613.889
300.238
552.500
15
500.165
921.111
428.781
789.524
375.25S
690 833
333.630
614.074
300.344
552.667
16
500.342
921.389
423.933
789.762
375.388
691.042
333.748
614.259
300.450
552.833
17
500.518
921.667
429.085
790. 000
375.521
691.250
333.866
614.444
300.556
553.000
18
500.695
921.944
429.236
790.238
375.654
691.458
333.984
614.630
300.662
553.167
19
500.872
922.222
429.388
790.476
375.786
691.667
334.101
614.815
300.768
553.333
20
501.049
922.500
429.539
?'90.714
375.919
691.875
334.219
615.000
300.875
553.500
21
501.225
922.778
429.691
790.952
376.051
692.083
334.337
615.185
300.981
553.66?
22
501.402
923.056
429.842
791.190
376.184
692.292
334.455
615.370
301.087
553.833
23
501.579
923.333
429.994
791.429
376.317
692.500
334.573
615.556
301.193
554.000
24
501.755
923.611
430.145
791.667
376.449
692.708
334.691
615.741
301.299
554.167
25
501.932
923.889
430.297
791.905
376.582
692.917
334.809
615.926
301.405
554.333
26
502.109
924.167
430.448
792.143
376.714
693.125
334.927
616.111
301.511
554.500
27
502.286
924.444
430.600
792.381
376.847
693.333
335.045
616.296
301.617
554.667
28
502.46?
924.722
430.755
792.619
376.983
693.542
335.166
616.481
301.726
554.833
29
502.649
9*5.000
430.911
792.857
377.119
693.750
335.287
616.667
301.835
555.000
30
502.826
925.278
431.062
793.095
377.252
693.958
335.405
616.852
301.942
555.167
31
503.002
925.556
431.214
793.333
377.385
694.16?
335.523
617.037
302.048
555.333
32
503.179
J25.833
431.365
793.571
377.517
694.375
335.640
617.222
302.154
555.500
33
503.356
J26.111
431.517
793.810
377.650
694.583
335.758
617.407
302.260
555.667
34
503.532
926.389
431.669
794.048
377.782
694.792
335.876
617.5U3
302.366
555.833
35
503.709
J26.667
431.820
794.286
377.915
695.000
335.994
617.778
302.472
556.000
36
503.886
926.944
431.972
794.524
378.048
695.208
336.112
617.963
302.578
556.16?
37
504.063
927.222
432.123
794.762
378.180
695.417
336.230
618.148
302.685
556.333
38
504.239
927.500
432.275
795.000
378.313
695.625
336.348
618.333
302.791
556.500
39
504.416
927.778
432.426
795.238
378.445
695.833
336.466
618.519
302.897
556.667
4O
504.598
928.056
432.582
795.476
378.582
696.042
336.58?
618.704
303.006
556.833
41
504.779
928.333
432.737
795 714
378.718
696.250
336.708
618.889
303.115
557.000
42
504.956
928.611
432.88<T
795.952
378.850
696.458
336.826
619.074
303.221
557.167
43
505.133
928.889
433.040
796.190
378.983
696.667
336.944
619.259
303.327
557.333
44
505.309
929.167
433.192
796.42!)
379.116
696.875
337.062
619.444
303.433
557.500
45
505.486
929.444
433.343
796.667
379.248
697.083
337.180
619.630
303.539
557.667
46
505.663
929.722
433.495
?'96.905
379.381
697.292
337.297
619.815
303.645
557.833
47
505.840
930.000
433.646
797.143
379.513
697.500
337.415
620.000
303.752
558.000
48
506.021
930.278
433.802
797.381
3r9.650
697.708
337.536
620.185
303.861
558.167
49
506.203
9°0.556
433.958
797 619
379.786
697.917
337.657
620.370
303.970
558.333
50
506.379
930.833
434.109
797.857
379.918
698.125
337.775
620.556
304.076
558.500
51
506 . 556
931.111
434.261
798.095
380.051
698.333
337.893
620.741
304.182
558.667
53
506.733
931.389
434.412
798.333
380.184
698.542
338.011
620.926
304.288
558.833
53
506.910
931.667
434.564
798.571
380.316
698.750
338.129
621.111
304.394
559.000
54
50 r. 086
931.944
434.715
798.810
380.449
608. 95S
338.247
621.296
304.500
559.167
55
507.263
932.222
434.867
799.048
380.581
699.167
338.365
621.481
304.606
559.333
56
507.445
932.500
435.022
799.286
380.718
699.375
338.486
621.667
304.715
559.500
57
507.626
932.778
435.178
799.524
380.854 699 583
338.607
621.852
304.824
559.667
58
507.803
933.056
435.330 799.762
380.986699.792
338.725
622.037
304.931
559.833
59
157
TABLE XIV. — ACTUAL TANGENTS, ETC.
56°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~o"
Tan.
Arc.
Tan.
Arc.
2800.00
Tan.
Arc.
Tan.
Arc. Tan.
Arc.
3046.51
5600.00
1523.31
1015.61
1866.67
761.7761400.00609.489
1120.00
1 3047.57
5601.67
1523.842800.83
1015.96
1867.22
762. 04 1| 1400. 42 609. 701
1120.33
2 3048. 63
5603.33
1524.37
2801.67
1016.32
1867.78
762.306
1400.83:609.913
1120.67
3 13049.72
5605.00
1524.92
2802.50
1016.68
1868.33
762.578
1401.25 610.130
1121.00
4
3050.81
5606.67
1525.46
2803.33
1017 04
1868.89
762.850
14U1.67610.348
1121.33
5
3051.87
5608.33
1525.99
2804.17
1017.39
1869.44
763.115
1402.08610.560
1121.67
6
8052.93
5610.00
1526.52
2805.00
1017.75
1870.00
763.380
14U2.50610.772
1122.00
7
3053.99
5611.67
1527.05
2805.83
1018.10
1870.56
763.645
1402.92 610.984
1122.33
8
3055.05
5613.33
1527.58
2806.67
1018.45
1871.11
763.910
1403.33611.196
1122.67
9
3056.14
5615.00
1528.13
2807.50
1018.82
1871.67
764.183
1403.75
611.414
1123.00
10
'3057.23
5616.67
1528.67
2808.33
1019.18
1872.22
764.455
1404.17
611.632
1123.33
11
3058.29
5618.33
1529 20
2809.17
1019.53
1872 78
764.720
1404.58
611.844
1123.67
13
3059.35
5620.00
1529.73:2810.00
1019.89
1873.33
764.985
1405.00
612.056
1124.00
13
3060.41
5621.67
15:30.2612810.83
1020.24
1873.89
765.250
1405.42
612.268
1124.33
14
3061 47
5623.33
1530.79
2811.67
1020.59
1874.44
765.515
1405.83
612.480
1124.67
15
3062.56
5625.00
1531.33
2812.50
1020.96
1875.00
765.787
1406.25
612.698
1125.00
16
3063.64
5626.67
1531.88
2S13.33
1021.32
1875.56
766.059
1406.67
612.916
1125.33
17
3064.70
5628.33
1532.41
2814.17
1021.67
1876.11
766.3-24
1407.08
613.128
1125.67
18
3065. 76 1 5630. 00
1532.94
2815.00
1022 03
1876.67
766.589
1407.50
613.340
1126.00
19
3066.85
5631.67
1533.48
2815.83
1022.39
1877.22
766.862
1407.92
613.558
1126.33
30
3067.94
5633 33
1534.03
2816.67
1022.75
1877.78
767.134
1408.33:613.776
1126.67
21
3069.00
5635.00
1534 56
2817.50
1023.11
1878.33767.399
1408.75
613.988
1127.00
22
3070.06
5636 67
1535.09
2818.33
1023.46
1878.89767.664
1409.17
614.200
1127.33
23
3071.15
5638.33
1535.63
2819.17
1023.82
1879.44767.936
1409.58
614.418
1127.67
24:
3072.24
5640.00
1536.18
2820.00
1024.18
1880.00; 7 68. 208
1410.00
614.635
1128.00
25
3073.30
5641.67
1536.71
2820.83
1024.54
1880.56768.473
1410.42
614.847
1128.33
26
3074.36
5643.33
1537.24
2821.67
1024.89
1881.11
768.738
1410.83
615.059
1128.67
37
3075.42
5645.00
1537.77
2822.50
1025.24
1881.67
769.004
1411.25
615.272
1129.00
28
3076.48
5646.67
1 538.30
2823.33
1025.60
1882.22
769.269
1411.67
615.484
1129.33
29
3077.57
5648.33
1538.84
2824.17
1025.96
1882.78
769.541
1412.08
615.701
1129.67
3O
3078.66
5650.00
1539.38
2825.00
1026.32
1883.33
769.813
1412.50
615.919
1130.00
31
3079.72
5651.67
1539.91
2825.83
1026.6S
1883 89
770.078
1412.92
616.131
1130.33
32
3080.78
5653.33
1540.44
2826.67
1027.03
1884.44
770.343
1413.33
616.343
1130.67
33
3081.86
5655.00
1540.99
2827.50
1027.39
1885.00
770.615
1413.75
616.561
1131.00
34
3082.95
5656.67
1541.53
2S28.33
1027.76
1885.56
770.888
1414.17
616.779
1131.33
35
'3084.01
5658. a3
1542.06
2829.17
1028 11
1886.11
771.153
1414.58' 616. 991
1131.67
36
3085.07
5660.00
1542.59
2830.00
1028.46
1886.67J771.418
1415.00617.203
1132 00
37
3086.16
5661.67
1543.14
2830.83
1028 83
1887.22
771.690
1415.42617.421
1132.33
38
3087.25
5663.33
1543.68
2831.67
1029.19
1887.78
771.962
1415.83617.639
1132.67
39
3088.34
5665. OU
1544.23
2832.50
1029.55
1888.33
772.234
1416.25
617.856
1133.00
40
3089.43
5666.67
1544.77
2833.33
1029.92
1888.89
772.506
1416.67
618.074
1133.33
41
3090.49
5668.33
1545.30
2834.17
1030.27
1889.44
772.771
1417.08
618.286
1133.67
43
3091.55
5670.00
1545.83
2835.00
1030.62
1890.00
773.037.
1417.50
618.498
1134.00
43
3092.64
5671.67
1546.37
2835.83
1030.98
1890. 56 (773.309
1417.92
618.716
1134.33
44
3093.72
5673.33
1546.92
2-'36 67
1081.85
1891.11
773.581
1418.33
618.934
1134.60
45
3094.78
5675.00
1547.45
2837.50
1031.70
1891.67
773.846
1418.75
619.146
1135.07
46
3095.84
5676.67
1547.98
2838.33
1032.05
1892.22
774.111
1419.17
619.358
1135.33
47
3096.93
5678.33
1548.52
2839.17
1053.42
1892.78
774. 383
1419.58
619.576lll35.67
48
3098.02
5680.00
1549.07
2840.00
1032.78
1893.33
774.655
1420.00
619. 7'94 1136.00
49
3099.08
5681.67
1549.60
2840.83
1033.13
1893.89
774.921
1420.42
620.006
1136.33
5O
3100.14
5683.33
1550.13
2841.67
1033.49
1894.44
775.186
1420.83
620 218
1136.67
51
8101.2:3
5685.00
1550.6?
2842.50
1033.85
1895.00
775.458
1421. 25:620. 436
1137.00
53
3102.32
5686.67
1551.22
2843.33
1034.21
1895.56
775.730
1421.67620.653
1137.33
53
3103.41
5688. ,33
1551.76
2844.17
1034.5S
1896.11
776.002
1422.08 620. S71
1137.67
54
3104.50
5690.00
1552.31
2845.00
1034.94
1896.67
776.274
1422. 50! 621. 089
1138.00
55
3105.56
5691.67
1552.84
2845.83
1035.29
1897.22
776.539
1422.92621.301
1138.33
56
3106.62
5693.33
1553.37
2846.67
1035.65
1897.78
776.805
1423.33621.513
1138.67
57
3107.70
5695.00
1553.91
5847.60
1036.01
1898.33
777.07?
1423.75621.731
1139.00
58
3108.79
5696.67
1554.45
2848.33
1036.37
1898.89
777.349
1424.17
621.949
1139.33
59
3109.88
5698.33
1555.00
2849.17
1036.73
1899.44
777.621
1424.58
622.166
1139.67
158
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
56°
Tau. Arc.
Tan.
Arc.
Tan. Arc.
Tau.
Arc.
Tan.
Arc.
M7
507.980933.333
435.481
800.000381.119700.000
338.843
622.222
305.037
560.000
O
508.1501933.011
435 . 633 800 . 238 38 1 . 252 700 . 208
338.961
622.407
305.143
560.167
1
508. 333 ! 933. 889
435 . 784 800 . 476 : 381 . 384 700 . 4 1 7
339.079
622.593
305.249
560.3:33
2
508.515J93J.16?
435 . 940 800 . 714 ! 381 . 520 700 . 62£
339.200
622.778
305.358
560.500
3
508.090
934.441
436.095800.952
381.657
700.833
339.321
622.963
305.467
560.667
4
508.873
9:14.722
436.2471801.190
381.789
701.042
339.439
623.148
305.573
560.833
5
509.050
935.000
436.398801.429
381 922
701.250
339.557
623.333
305.679
561.000
6
509.220
935.2?'8
436.550801.667
382.054
701.458
339.674
623.519
305.785
561.167
7
509.403
935.550
436. 701 1801. 905
382.187
701.667
339.792
623.704
305.891
561.333
8
600.585
935.833
436.857
802.143
382.323
701.875
339.913
623.889
306.000
561.500
9
509.766
936.111
437.013
802.381
382.459
702.083
340.034
624.074
306.109
561.667
1O
509.948
936.389
437.104 802.619
382.592
702.292
340.152
624.259
306.216
561.833
11
510.120
936.66?
437.316!802.857
382.725
702.500
340.270
624.444
306.322
562.000
12
510.297
930.944
437.4671803 095
382.857
702.708
340.388
624.630
306.428
562.167
13
510.473
937.222
437.619803.333
382.990
702.917
340.506
624.815
306.534
562.333
14
510.655
937. SOU
43 r. 774
803.571
383. 126J703. 125
340.627
625.000
306.643
562.500
15
510.830
937.778
437.930
803.810
383.262
703 333
340.748
625.185
306.752
502.667
16
511.013
938.050
438.081
804.048
383.395
703.542
340.866
625.370
306.858
562.833
17
511.190
938.333
438.233
804.286
383.527
703.750
340.984
625.556
306.964
563.000
18
511.371
938.611
438.389
804.524
383.664
703.958
341.105
625.741
307.073
563.167
19
511.553
938.889
438.544
804.762
383.800
704.167
341.226
625.926
307.182
563.333
20
511.730
939.167
438.696
805.000
383.932
704.375
341.344
626.111
307.288
563.500
21
511.900
939.444
438.847
805.238
384.065
704.583
341.462
626.296
307.395
563.667
22
512.088
939.722
439.003
805.470
384.201
704.792
341.583
626.481
307.504
563.833
33
512.209
940.000
439.158
805.714
384.337
705.000
341.704
626.667
307.613
564.000
24
512.440
940.278
439.310
805.952
384.470
705.208
341.822
626.852
307.719
564.167
25
512.623
940.556
439.402
806.190
384.603
705.417
341.940
627.037
307.825
564.333
26
512.800
940 833
439.013
806.429
384.735
705.625
342.058
627.222
307.931
564.500
27
512.976
513.158
941.111
941.389
439 705
439.920
806.667
806.905
384.868
385.004
705.833
? 06. 042
342.176
342.297
627.407
627.593
308.037
308.146
564.667
564.833
28
29
513.339
941.667
440.076
807.143
385.140
706.250
342 418
627.778
308.255
565.000
30
513.510
941.944
440.227
807.381
385.273
706.458
342.536
027.963
308.361
565.167
31
513.693
942.223
440.379
807.619
385.405
706.607
342.654
628.148
308.467
565.333
32
513.874
942.500
440. 534 1807. 85?
385.542
706 875
342.775
628.333
308.576
565.500
33
514.050
942.778
440. 690 1808. 095
385.678
707.083
342.896
628.519
308.685
565.667
34
514.233
943.056
440.842
808.333
385.810
707 292
343.014
628.704
308.791
565.833
35
514.409
943.333
440.993
808.571
385.943
707.500
343.132
628.889
308.898
566.000
36
514.591
943.611
441.149
808.810
386.079
707.708
343.253
629.074
309.007
566.167
37
514.772
943.889
441.304
809.048
386.215
707.917
343 374
629.259
309.110
566.333
38
514.954
944.167
441.460
809.286
386.352
708.125
343.495
629.444
309.225
566.500
39
515.135
944.444
441.616
809.524
386.488
708.333
343.616
629.630
309.334
566.667
4O
515.312
944.722
441.767
809.762
386.620
708.542
343.734
629.815
309.440
566.833
41
515.489
945.000
441.919
810.000
386.753
708.750
343.852
630.000
309.546
567. 000
42
515.67o
945.278
442 074
810.238
386.889
708.958
343.973
630.185
309.655
567.167
43
515 852
945.550
442.230
810.476
387.025
709.167
344.094
630 370
309.764
567.333
44
516.029
945.833
442.381
810.714
387.158
709.375
344.212
630 556
309 870
567.500
45
516.205
946.111
442.533810.952
387.291
709.583
344. 330
630.741
309.976
567.667
46
510.387
946 389
442.688811.190
387.427
709.792
344.451
630.926
310.085
567.833
47
516.509
940 607
442.844 811.429
387.563
710.000
344.572
631.111
310.194
568.000
48
516.745
946.941
442.980
811.667
387.690
710.208
344.690
631.296
310 300
568.167
49
516.922
947.222
443.147
811.905
387.8-^
710.417
344.808
631.481
310.406
568.333
50
517.104
947. 500
443.303812.143
387.961
710.625
344.929
631.667
310.515
568.500
51
517.285
947.778
448.458812.381
388.100
710.833
345.050
631.852
3 10. 024 '568. 607
52
517.467
948.050
443.614
812.619
388.23?
711.042
345.171
632.03?
310.733
568 833
53
517.648
948.333
443.770
812.857
888.878
711.250
345.292
632.222
310.842
569.000
54
517.825
948.611
443.921 813.095
388.505
711.458
345.410
632.407310.949
569.167
55
518.002
948.889
444.073813.333
388.638
711.067
345.528
632.593311.055
569.333
56
518.183
949.167
444.228813.571
388.774
711.875
345.649
632.778311.164
569.500
57
518.365
949.444
444.384813.810
388.910
712.083
345.770
032.963311.273
569 007
58
518.546
949.722
444.539'814.048
389.04?
712.292
345.891
633. 148 1311. 382
569.833
59
159
TABLE XIV. — ACTUAL TANGENTS, ETC.
57°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Are.
Tan.
Arc.
Tan.
Arc. Tan.
Arc.
Tan.
Arc.
O
3110.97
5700.00
1555 54
2850TOO
1037.10
1900.00777.893 1425.00
622.384
1140.00
1
3112.03
5701.67
1556.07
28.50.83
1037.45
1900.56 778.158
1425.42
622.596 1140.33
8
3113.09
5703.33
1556.60
2851 67
1037.80
1901.11 778.428
1425.83
622.8081140.67
3
3114.18
5705.00
1557.152852.50
1038.17
1901.67 778.696
1426.25
623 026 1141.00
4
3115.27
5706 67
1557.69
2853.33
1038.53
1902.22778.968
1426.67
623.244 1141.33
5
8116.86
5708.33
1558.24
2854.17
1038.89
1902.78 779.240
1427.08
623.462
1141.07
6
3117.45
5710.00
1558.78
2855.00
1 039.. 26
1903.33779.512
1427.50
623.679
1142.00
7
3118.51
5711.67
1559.31
2855.83
1039.61
1903.89779.777
1427.92
623.892
1142.33
8
3119.57
5713.33
1559.84
J856.67
1039.96
1904.44
780.042
1428.33
624.104
1142.67
0
3120.65
5715.00
1560.38
2857.50
1040.33
1905.00
780.315
1428.75
624.321
1143.00
10
3121.74
5716.67
1560.93
2858.33
1040.69
1905.56
780.587
1429.17
024.539
1143.33
11
3122.83
5718.33
1561.47
2859.17
1041.05
1906.11
780.859
1429.58
624.757
1143.07
12
31^3.92
5720.00
1562.0;!
2860.00
1041.4!
1906.67
781.131
1430.00
624.97o
1144.00
18
3125.01
5721.67
1562.56
2860.83
1041.78
1907.22
781.403
1430.42
(525.1 93
1144.33
14
3126.10
5723.33
1563.11
2851.67
1042.14
1907.78
7S 1.676
1430.83
025.410
1144.67
15
3127.16
5725.00
1563.64
2862.50
1042.49
1908.33
781.941
1431.25
025.622
1145.00
10
3128.22
5726.67
1564.17
2863.33
1042.85
1908.89
782.206
1431.67
025.834
1145.33
17
3129.31
5728.33
1564.71
2864.17
1043.21
1909.44
782.478
1432.08
626.052
1145.67
18
3130.39
5730.00
1565.25
2865.00
1043.57
1910.00
782.750
1432.50
626.270
1146.00
19
3131.48
5731.67
1565.80
2865.83
1043.94
1910.56
783.022
1432.92
626.488
1146.33
20
3132.57
5733.33
1566.34
2866.67
1044.30
1911.11
783.295
1433.33
626.706
1146.67
31
3133.66
5735.00
1566.89
2867.50
1044.66
1911. G7
783. 5G7
1433.75
026.923
1147.00
22
3134.75
5736.67
1567.43
2868.33
1045.02
1912.22783.839
1434.17
627.141
1147.33
33
3135.81
5738.33
1567.96
2869.17
1045.38
1912.78 784.104
1434.58
027.353
1147.07
34
3136.87
5740.00
1568.49
2870.00
1045.73
1913.33 784.309
1435.00
027.505
1148.00
35
3137.96
5741.67
1569.04
2870.83
1046.09
1913.89 784.641
1435.42
627.783
1148.33
30
3139.05
5743.33
1569.58
2871.67
1046.46
1914.44 784.914
1435.83
628.001
1148.67
37
3140.13
5745.00
1570.12
2872.50
1046.82
1915.00:785.186
1436.25
628.219
1149.00
38
3141.22
5746.67
1570.67
2873.33
1017.18
1915. 56 1785.458
1436.67
028.437
1149.33
39
3142.31
5748.33
1571.21
2874.17
1047.55
1916.11
785.730
1437.08
628.654
1149.67
3O
3143.40
5750.00
1571.76
2875.00
1047.91
1916.67
783.002
1437.50
628.872
1150.00
31
3144.49
5751.67
1572.30
2875.83
1048.27
1917.22
786.275
1437.92
629.090
1150.33
33
3145.58
5?'53.33
1572.85
2876.67
1018.63
1917.78
786.547
1438.33
629 308
1150.67
33
3146.67
5755.00
1573.39
2877.50
1049.00
1918.33
786.819
1438.75
629 526
1151.00
34
3147.76
5756.67
1573.94
2878.33
1049.36
1918.89
787.091
1439.17
629.743
1151.33
35
3148.82
5758.33
1574.47
2879.17
1049.71
1919.44
787.356
1439.58
029.955
1151.67
36
3149.88
5760.00
1575.00
2880.00
1050.07
1920.00
787.621
1440.00
630.167
1152.00
37
3150.96
5761.67
1575.54
2880.83
1050.43
1920.56
787.894
1440.42
630.385
1152.33
38
3152.05
5763.33
1576.08
2881.67
1050.79
1921.11
788.166
1440.83
630.603
1152.67
39
3153.14
5765.00
1576.63
2882.50
1051.16
1921.67
788.438
1441.25
630.821
1153.00
40
3154.23
5766.67
1577.17
2883.33
1051.52
1922.22
788.710
1441.67
631 .039
1153.33
41
3155.32
5768.33
1577.72
2884.17
1051.88
1922.78
788.982
1442.08
031.250
1153.67
43
3156.41
5770.00
1578.26
2885.00
1052.24
1923.33
789.255
1442.50
631.474
1154.00
43
3157.50
5771.67
1578 81
2885.83
1052.61
1923.89
789.527
1442.92
031. 092 1154.33
44
3158.58
5773.33
1579.35
2886.67
1052. 97 11924. 44
789.799
1443.33
631.91HM154.07
45
3159.67
5775.00
1579.89
2887.50
1053.33
1925.0J
790.071
1443.75
632.1-2S
1155.00
4(J
3160.76
5776.67
1580.44
2888 .-33
1053.70
1 1)25.56
790.343
1444.17
632.345
1155.33
47
3161.85
5778.33
1580.98
2889.17
1054.06
1926.11
790.616
1444.58
632.503 1155.67
48
3162.94
5780.00
1581.53
2890.00
1054.42
1926.67
790.888
1445.00
632.781
1156.00
49
3164.03
5781.67
1582.07
2890.83
1054.78
1927.22
791 . 160
1445.42
632.999
1156.33
50
3165.12
5783.33
1582.62
'891.67
1055.15
1927.78
791.432
1445.83
633.217
1156.67
51
3166,20
5785.00
1583.16
2892.50
1055.51
1928.33
791.704
1446.25
033.434
1157.00
53
3167.29
5786.67
1583.70
2893.33
1055.87
1928.89
791.977
1446.67
633.652
1157.33
53
3168.38
5788.33
1584 2.')
2894.17
1056.24
1929.44
792.249
1447.08
633.87'0
1157.67
54
3169.47
5790.00
1584.79
2895.00
1056.60
1930.00
792.521
1447.50
634.088
1158.00
55
3170.56
5791.67
1585.34
3895.83
1056.96
1930.56
792.793
1447.92
634.30611158.33
56
3171.65
5793.33
1585.88
2896.67
1057.32
1931.11
793.066
1448.33
634. 523! 11 58. 67
57
3172.74
5795.00
1586.43
2897.50
1057.69
1931.67
793.338
1448.75
634.741 1159.00
58
3173.83
5796.67
1586.97
2898.33
1058 05
1932.22
793.610
1449.17
634.959
1159.33
59
3174.91
5798.33
1587.52
2899.17
1058.41
1932.78
793.882
1449.58
635.177
1159.67
160
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
57°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
518.728
950.000
444.695
814.286
389.183712 500
340. U12
633.333
311.491
570.000
o
518.904
950.278
444.847814.524
389.315712.708
346 130
633.519
311.597
570.167
1
519.081
950.556
444.998i814.762
389.448
712.917
346.248
633.704
311.703
570.333
2
519.203
950.833
445.154815.000
389.584
713.125
346.369
633.889
311.812
570.500
3
519.444
951.111
445.309
815.238
389.720
713.333
346.490
634.074
311.921
570.607
4
51 9. 626! 95 1.389
445.465
815.476
389.857
713.542
346.611
634.259
312.030
570.833
5
519. 8071951. 667
51 9. 984 ! 951. 944
445.621 815.714
445.772815.952
389.993
390.125
713.750
713.958
346.732
346.850
634.444
634.630
312.139
312.245
571.000
571.10?
G
7
520.161 952.233
445.924
816.190
390.258
714.167
346.968
634.815
312 351
571.333
8
520.312
952.500
446.079
816.429
390.394
714.375
347.089
635.000
312.460
571.500
9
520.524
952.778
446.235
816.667
390.530
714.583
347.210
635.185
312.569
571.66?
10
520.705953.056
446.390
816.905
390.667
714.792
347.331
635.370
312.678
571.833
1 1
520.887
953.3:33
446.546
817.143
390.803
715.000
347.452
635.556
312.787
572.000
12
521.068
953.611
446.702
817.381
390.939
715.208
347.573
035.741
312.896
572.16?
13
521.250
953.889
446.857
817.619
391.075
715.417
347.694
635.926
313.005
572.333
14
521.427
954.167
447.009
817.857
391.208
715 625
347.812
636.111
313.111
572.500
15
521.603
954.444
447.160
818.095
391.340
715.833
347.930
636.290
313.21?
572.66?
16
521.785
954.722
447.316
818.3:33
391.477
716.042
348.051
636.481
313.326
572.833
17
521.96(5
955.000
447.472
818 571
391.613
716.250
348.172
636.66?
313.435
573.000
18
522. H 8
955.278
447.627
818.810
391.749
716.458
348.293
636.852
313.544
573.167
19
522.329
955.556
447.783
819.048
391.885
716.667
348.415
637.03?
313.653
573.333
2O
522.511
955.833
447.938
819.286
392.021
716.875
348.536
637.222
313.702
573.500
21
522.092
956.111
448.094
819.524
392.157
717.083
348.657
637.407
313.871
573.667
22
522.86'.)
956.389
448.240
819.762
392.290
717.292
348.775
637.593
313.978
573.833
23
523.046
956.667
448.397
820.000
392.423
717.500
348.893
637.778
314.084
574.000
24
523.227
956.944
448.553
820.238
392.559
717.708
349.014
037.963
314.193
574.16?
25
523 409
957.222
448.708
820.476
392.695
717 917
349.135
638.148
314.302
574.333
26
523.590
957.500
448.864
820.714
392.831
718.125
319.250
638.333
314.411
574.500
27
523.772
957.778
449.019
820.952
392.967
718.333
349.377
638.519
314.520
574.667
28
523.954
958.056
449.175
821.190
393.104
718.542
349.498
038.704
314.629
574.833
29
524.135
958.333
449. S3 1
821.429
393. S40
718.750
349.619
638.889
314.738
575.000
30
524.317
958.611
449.480
821.667
393.376
718.958
349.740
639.074
314.847
575.16?
31
524.498
958.889
449.642
821.905
393.512
719.167
349.861
639.259
314.956
575.333
32
524.680
959.167
449.798
822.143
393.648
719.375
349.982
039.444
315.065
575.500
33
524.861
959.444
449.953
822.1381
393.785
719.583
350.103
639.630
315.174
575.667
34
525.038
959.722
450.105
822.619
393.917
719.792
350.221
039.815
315.280
575.833
35
525.215
900.000
450.256
822 857
394.050
720.000
350.339
640.000
315.386
576.000
36
525.396
960.278
450.412
823.095
394.186
720.208
350.460
640.185
315.495
576.167
37
525.578
900.556
450.567
823.333
394.322
720.417
350.581
640.370
315.604
576.333
38
525.759
960.833
450.723
823.571
394.458
720.625
350.702
640.556
315.713
576.500
39
525.941
961.111
450.879
823.810
394.595
720.833
350.823
640.741
315.822
576.66?
40
526.122
901.389
451.034
824.048
394.731
721.042
350.945
640.926
315.931
576.833
41
526.304
901 .607
451.190
824.280
394.807
721.250
351.066
641.111
316.040
577.000
42
526.485
901.941
-151.345
824.524
395.003
721. -458
351.18?
641.296
316.149
577.167
43
526 667
902.22.'
451.501 824.762
395.139
721.66?
351.308
641.481
316.258
577.333
44
526.848
902.500
451. 65? 1825. 000
395.275
721.875
351.429
641.66?
316.307
577.500
45
527.030
902.778
451.812
825.238
395.412
722.083
351.550
641.852
316.476
577.667
46
527.211
903.050
451.968
825.476
395.548
722.292
351.671
642.03?
316.585
577.833
47
527.393
9(>:'» 333
452.124
825.714
395.084
722.500
351.792
642.222
316.694
578.000
48
527.574
903.611
452.279
825.952
395.820
722.708
351.913
642.407
316.803
578.16?
49
527.750
903.889
452.435
826.190
395.950
722.917
352.034
642.593
316.912
578.333
50
527.937
904.167
452.590
820.420
3%. 093
723.125
352.155
642.778
317.021
578.500
51
528.119
!tf54 444
452.746
826.667
396.229
723.333
352.276
642.963
317.130
578.607
52
528.300
1)04.722
452.902
826.905
390 305
723.542
352.398
643.148
317.239
578.833
53
528.482
965.000
453.057
827.143
396 501
723.750
352.519
643.333
317.348
579.000
54
528.663
965.278
453.213
827.381
396.637
723.958
352.640
643 519
317.457
579.167
55
528.845
965.556
453.368
827.619
396.774
724.167
352.761
643.704
317.566
579.333
56
529.027
965.833
453.524
827.857
396.910
724.375
352.882
643.889
317.675
579.500
57
529.208
966.111
453.680
828.095
397.046
724.583
353.003
644.074
317.784
579.667
58
529.390
966.389
453.835
828.333
397.182
724.792
353.124
644.259
317.893
579.833
59
161
TABLE XIV.— ACTUAL TANGENTS, ETC.
58°
M7
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
o
3176.00
5800.00
1588.06
2900.00
1058.78
1933.33
794.154
1450.00
635.394:1160.00
1
3177.09
5801.67
1588.60
2900.83
1059.14
1933.89
794.427
1450.42
635.012 1160.33
2
3178.18
5803.33
1589.15
2901.67
1059.50
1934.44
794.699
1450.83
635.8301160.67
3
3179.27
5805.00
1589.69
2902.50
1059.87
1935.00
794.971
1451.25
636.0481161.00
4
3180.36
5806.67
1590.24
2903.33
1060.23
1935.56
795.243
1451.07
636.266 1161.33
5
3181.45
5808.33
1590.78
2904.17
1060.59
1936.11
795.515
1452.08
636.48311161.67
«
3182.53
5810.00
1591.33
2905.00
1060.95
1936.67
795.788
1452.50
636.701 1162.00
7
3183.62
5811.67
1591.87
2905.83
1061.32
1937.22
796.060
1452.92
636.919 1162.33
8
3184.71
5813.33
1592.41
2906.67
1061.68
1937.78
796.332
1453.33
637.137
1162.67
9
3185.80
5815.00
1592.96
2907.50
1062.04
1938.33
796.604
1453.75
637.355
1163.00
1O
3186.89
5816.67
1593.50
2908.33
1062.41
1938.89
796.877
1454.17
637.572
1163.33
11
3187.98
5818.33
1594.05
2909.17
1062.771939.44
797.149
1454.58
037.790! 1163. 67
12
3189.07
5820.00
1594.59
2910.00
1063.131940.00
797.421
1455.00
638.008 1164.00
13
3190.15
5821.67
1595.14
2910.83
1063.491940.56
797.693
1455.42
638.226
1164.33
14
3191.24
5823 33
1595.68
2911.67
1063.86 1941.11
797.965
1455.83
638.444
1164.67
15
3192.36
5825.00
1596.24
2912.50
1064.23:1941.67
798.245
1456.25
6:38.667
1165.00
16
3193.48
5826.67
1596.80
2913.33
1064.60 1942.22
798.524
1456.67
638.891
1165.33
17
3194.57
5828.33
1597.34
2914.17
1064.97
1942.78
798.796
1457.08
639.1081165.67
18
3195.65
5830.00
1597.89
2915.00
1065.33
1943.33
799.069
1457.50
639.3261166.00
19
3196.74
5831.67
1598.43
2915.83
1065.69
1943.89
799.341
1457.92
639.544
1166.33
20
3197.83
5833.33
1598.97
2916.67
1066.05
1944.44
799.613
1458.33
639.762
1166.67
21
3198.92
5835.00
1599.52
2917.50
1066.42
1945.00
799.885
1458.75
639. 980| 1167. 00
22
3200.01
5836.67
1600.06
2918.33
1066.78
1945.56
800.157
1459.17
640.197
1167.33
23
3201.10
5838.33
1600.61
2919.17
1067.14
1946.11
800.430
1459.58
640.415
1167.67
24=
3202.19
5840.00
1601.15
2920.00
1067.51
1946.67
800.702
1460.00
640.633
1168.00
25
3203.28
5841 67
1601.70
2920 83
1067.87
1947.22
800.974
1460.42
640.851
1108.33
26
3204.36
5843.33
1602.24
2921.67
1068.23
1947.78
801.246
1460.83
641. 069! 1188. 67
37
3205.45
5845.00
1602.79
2922.50
1068.59
1948. as
801.518
1461.25
641.2861169.00
28
3206.54
5846.67
1603.33
2923.33
1068.96
1948.89
801.791
1461.67
641.504lll69.33
29
3207.66
5848.33
1603.89
2924.17
1069.33
1949.44
802.070
1462.08
641.728
1169.67
30
3208.78
5850.00
1604.45
2925.00
1069.70
1950.00
802.349
1462.50
641.951
1170.00
31
3209.86
5851.67
1604.99
2925.83
1070.07
1950.56
802.622
1462.92
642.1691170.33
32
3210.95
5853.33
1605.54
2926.67
1070.43
1951.11
802.894
1403.33
642.387J1170.67
33
3212.04
5855.00
1606.08
2927.50
1070.79
1951.67
803.166
1463.75
642.605| 1171. 00
34
35
3213.13
3214.22
5856.67
5858.33
1606.62
1607.17
2928.33
2929.17
1071.15
1071.52
1952.22
1952.78
803.438
803.710
1464.17
1464.58
642. 822 i 1171. 33
643.040 1171.67
36
3215.31
5860.00
1607.71
2930.00
1071 88
1953.33
803.983
1465.00
643.258 1172.00
37
3216.42
5861.67
1608.27
2930.83
1072.25
1953.89
804.262
1465.42
643.48111172.33
38
3217.54
5863.33
1608.83
2931.67
1072.62
1954.44
804.541
1405.83
643.705:1172.67
39
3218.63
5865.00
1609.37
2932.50
1072.99
1955.00
804.814
1466.25
643.923 1173.00
40
3219.72
5866.67
1609.92
2933.33
1073.35
1955.56
805.086
1406.67
644.141
1173.33
41
3280.81
5868.33
1610.40
20:34.17
1073.71
1956.11
805.358
1467.08
644.358 1173.67
4:2
3221.90
-)870.00
1611.01
2935.00
1074.08
1956.67
805.630
1407.50
644.576
1174.00
43
3222.99
5871 . 67
1611.55
2935.83
1074.44
1957.22
805.902
1407.92
044.794
1174.33
44
3224.07
5873.38
1612.10
2936.67
1074.80
1957.78
806.175
1408.33
645.012
1174.67
45
3225.19
5S75.00
1612.65
2937.50
1075.17
1958.33
806.454
1408.75
645.235
1175.00
£6
3226.31
5876.67
1613.21
2938.33
1075.55
1958.89
806.733
1409.17
045.459
1175.33
--7
3227.40
5878.33
1613.76
2939.17
1075.91
1959.44
807.006
1469.58
645.677
1175.67
48
3228.49
5880.00
1614.30
2940.00
1076.27
1960.00
807.278
1470.00
645.894
1176.00
49
3229.57
5881.67
1614.85
2940.83
1076.64
1960.56
807.550
1470.42
646.112
1176.33
5O
3230.66
5883.33
1615.39
2941.67
1077.00
1961.11
807.822
1470.83
643.330
1176.67
51
53
8281.78
3232.90
5885.00
5886.67
1615.95
1616 51
2942.50
2943.33
1077.37
1077.74
1961.67
1962.22
808.102
808.381
1471.25
1471.67
640.554 1177.00
040. 77711177. 33
53
3233.99
5888.33
1617.05
2944.17
1078.11
1962.78
808.653
1472.08
646.9951177.67
54
3235.07
5890.00
1617.60
2945.00
1078.47
IJ'03.33
808.925
1472.50
647.2131178.00
55
838.19
5891.67
1618.16
2945.83
1078.84
19(53.89
809.205
1472.92
647.436 1178.33
56
3237.31
5893.33
1618.71
2946.67
1079.21
1964.44
S09.484
1473.33
047.6001178.67
57
3238.40
5895.00
1619.26
2947.50
1079.58
1905. 00
809.756
1473.75
647.877 1179.00
58
3239:49 5896.67
1619.80
2948.33
1079.94
1965.56
810.029
1474.17
648.095
1179.33
59 3240. 581 5898. 33 1620.352949.17 1080.301906.11
810.301 1474.58
048.3131179.67
162
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
58°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Ivii7
529.571
966.667
453.991
828.571
397.318
725.000
353.245
644.444
318.002
580.000
~~0~
529.753
966.944
454.147
828.810
397.454
725.208
353.366
644.630
318.111
580.167
1
529.934
967.222
454.302
829.048
397.591
725.417
353.487
644.815
318.220
580.333
2
530.116
967.500
454.458
829.286
397.727
725.625
353.608
645.000
318.329
580.500
3
530.297
967.778
454.613
829.524
397.863
725.833
353.729
645.185
318.438
580.667
4
530.479
968.056
454.769
829.762
397.999
726.042
353.850
645.370
318.547
580.833
5
530.800
968.333
454.925
830.000
398.135
726.250
353.972
645.550
318.656
581.000
6
530.842
968.611
455.08,'
630.238
31(8.272
726.458
354.093
645.741
318.765
581.167
7
531.023
968.889
455.236
830.476
398.408
726.667
354.214
645.926
318.874
581 .333
8
531.205
969.167
455.391
830.714
398.544
726.875
354.335
646.111
318.983
581.500
9
531.386
969.444
455.547
830.952
398.680
727 083
354.456
646.296
319.092
581 667
10
531.5681969.722
455.703
831.190
398.816
727.292
354.577
646.481
319.201
581.833
11
531.749970.000
455. 85b
831.429
398.953
727.500
354.698
646.667
319.310
582.000
12
531.931 970.278
456.014
831.667
.99.089
727.708
354.819
646.852
319.419
582 167
13
532.112970.556
456.170
831.905
399.225
727.917
354.940
647.037
319.528
582.333
14
532.299970.833
456.329
832.143
399.365
728.125
355.064
647.222
319.640
582.500
15
532.485
971.111
456.489
832.381
399.504
728.333
355.189
647.407
319.752
582 667
16
532.666
971.389
456.645
832.619
399.641
7'28.542
355.310
647.593
319.861
582.833
17
532.848
971.667
456.800
832.857
399.777
7'28.750
355.431
647.778
319.970
583.000
18
533.030
971.944
456.956
833.095
399.913
728.958
355.552
647.963
320.079
583.167
19
533.211
972.222
457.111
833.333
400.049
729.167
355.673
648.148
320.188
583.333
2O
533.393
533.574
972.500
972.778
457.267
457.423
833.571
833.810
400.185
400.322
729.375
729.583
355.794
355.915
648. 333 ! 320. 297
648.519320.406
583.500
583.667
21
22
633.756
973.056
457.573
834.048
400.458
729.792
356.036
648.704
320.515
583.833
23
533.937
973.333
457.734
834.286
400.594
730.000
356.157
648.889
320.624
584.000
24
534.119
973.611
457.889
834 . 524
400.730
730.208
356.278
649.074
320.733
584.167
25
534.300973.889
534. 482 974.167
458.045
458.201
834.762
835.000
400 866
401.003
730.417
730.625
356.400
356.521
649 259
649.444
320.842
320.951
584.333
584.500
26
27
534.663
974.444
458.356
835.238
401.139
730.833
356.642
649.630
821.060
584.667
28
534.850
974.722
458.516
835.476
401.278
731.042
356.766
649.815
321.172
584.833
29
535.036
975.000
458.676
835.714
401.418
731.250
356.890
650.000
321.284
585.000
30
535.217
975.278
458.831
835.952
401.554
731.458
357.011
650.185
321.393
585.167
31
535.399
975.556
458.987
836.190
401.691
731.667
357.132
650.370
321.502
585.333
32
535.580
975.833459.143
836.429
401.827
731.875
357.254
650.550
321.611
585.500
33
535.762
976.111459.298
836.667
401.963
732.083
357.375
650.741
321.720
585.667
34
535.943
976.389
459.454
&36.905
402.099
732.292
357.496
650.920
321.829
585.833
35
536.125
976.667
459.609
837.143
402.235
732.500
357.617
651.111
321.938
586.000
36
536.311
976.944
459.769
837.38!
402.375
732.708
357.741
651.296
322.049
586.167
37
536.498
977.222459.929
837.619
402.515
732.917
357.865
651 481
322.161
586.333
38
536.679
977.500
460.084
83Z.857
402.651
733.125
357.986
651.667
322.270
586.500
39
536.861
977.778
460.240
838.095
402.787
733.333
358 107
651.852
322.379
586.667
40
537.042
978.056460.396
838 333
402.923
733.542
•358.229
052.037
322.488
586.833
41
537.224
978.333460.551
838.571
403.060
733.750
358 350
€52 222
322.597
587.000
42
537.405
978.611460.707
838.810
403.196
733 958
,358.471
652.407
322.700
587.167
43
537.587
97S. 889 460. 863
839.048
403.332
734.167
358-. 592
652.593
322.815
587.333
44
537.773
979.167:461.022
839.280
403.472
734.375
358.716
052.778
322.927
587.500
45
537.959
979.444'461.182
839.524
403.612
734. sas
358.840
652.963
323.031)
587.607
46
538.141
979.722461.338
839.762
403.748
734.792
358.961
653.148
323.148
587.833
47
538.322
980.000461.493
840.000
403.884
735.000
359.082
653.333
323.257
588.000
48
538.504
980.278
461.649
840.238
404.020
735.208
359.204
653.519
323.300
588.167
49
538.685
980.556
461.804
840.470
404.150
735.417
&59.325
053.704
323.475
588.333
5O
538.872
980.833461.964
840.714
404.296
735.625
359.449
053.889
323.587
588.500
51
5:59.058
981.111 462 124
840.952
404.430
735.833
&59.573
054.074
323.099
588.667
52
539.239
981. 389; 462. 2? 9
841.190
404.572
736.042
359.694
654 259
323. 8C8
588.833
53
539.421
981.667402.435
841.429
404.708
736.250
359.815
654.444
323.917
589.000
54
539.607
981. 94 4 ! 462. 595
841.667
404.848
736.458
359.940
054.630
324.029
589.167
55
539.794
982.222462.754
841.905
404.988
736.667
360.064
654.815
324.141
589.333
56
539.975
982.500,462.910
842.143
405.124
736.875
300.185
655.000
324.250
589.500
57
540.157
982.778463.066
842.381
405.260
737.083
360.306
655.185
324.359
589.667
58
540.338
983.056463.221
842.619
405.396
737.292
300.427
055.370
324.468
589.833
59
163
TABLE XIV.— ACTUAL TANGENTS, ETC.
59°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
*Wl.fl6
Arc.
Tan.
Arc.
2950.00
Tan.
1080.67
Arc.
Tan.
Arc.
Tan.
Arc.
0
5900.0011620.89
1966.67
810.573
1475.00648.531
1180.00
1
3242.78
5901.67
1621.45
2950.83
1081.04
1967.22
810.852
1475.42648.754!ll80.33
9
3243. 9 J
5903.33
1622.01
2951 . 67
1081.41
1967.78
811.132
1475.83648.978 1180.67
3
3244.99
5905.00
1622.55
2952.50
1081.77
11)68.33
811.404
1476.25649.196 1181.00
4
1246.08
5906.67
1623.10
2953.33
1082.14
1968.89
81 1 . 67 6
1476.67.649.4131181.33
5
3247.19
5008.83
1623.66
2954.17
1082.51
1969.44
811.956
1477.08649.637;1181.S7
6
3248.31
5910.00
1624.21
2955.00
1082.88
1970.00
812.235
1477. 50 649. 861 '1182.00
7
3249.40
5911.67
1624.76
2955.83
1083.24
1970.56
812.507
1477.92650.078 1182.33
8
3250.49
5913.33
1625.30
2956.67
1083.61
1971.11
812.779
1478.33 650.296 1182.67
9
3251.58
5915. OU
1625.85
2957.50
1083.97
1971.67
813.052
1478.75
650.514
1183.00
10
3253.67
5916 67
1626.39
2958. ^3
1084.33
1972.22
813 324
1479.17
650.732
1183.33
11
325:3.78
5918.33
1626 95
2959.1;
1084.71
1972.78
813.603
1479.58650.955!1183.67
12
325 4. 9U
5920.00
1627.51
2960.00
1085.08
1973.133
813.883
1480. 00^51. 179
1184.00
13
3*65.99
5921.67
1628.05
2960.8:}
1085.44
1973.89
814.155
1480.42651.397
1184.33
14
3257.08
5923.33
1628 60
2961.67
1085.80
1974.44
814.427
1480.83651.614
1184.67
15
1*58.19
5925. OU
1629.16
2962.50
1086.18
1975.00
814.706
1481.25651.838
1185.00
16
3259.31
5926.67
1629.72
29G3.3-3
1086.55
1975.56
814.986
1481.67 652.061
1185.33
17
32(50.40
5928.33
1630.26
2964.17
1086 91
1976.11
815.258
1482.08652.279
1185.67
18
3261.49
5930.00
1630.80
2965. OJ
1087.27
1976.67
815.530
1482.50652.497
1186.00
19
3262.61
.3931.67
1631.3(5
2965. 83
1087.65
1977.22
815.810
1482.92
652.720
1186.33
20
3203.72
->933.33
1631 92
2966.67
1088.02
1977.78
816.089
1483.33
652.944
1186.67
21
3264.81
5935.00
163.1.47
2967.50
1088.38
1978.33
816.361
1483.75653.16-2
1187.00
22
3265.90
5936.67
1633.01
2968.33
1088.75
1978.89
816.633
1484.17 653.380
1187.33
23
3267 02
5938.33
1633.57
2969.17
1089.12
1979.44
816.913
1484.58653 603
1187.67
24
3268 14
940.00
1634 13
2970.00
1089.49
1980.00
817.192
1485.00653.82;
1188.00
25
3269.2.')
5941.67
1634.69
2970.83
1089.86
1980.56
817.471
1485.42 654.050
1188.33
26
3*70.81
5913.33
1635.24
2971.67
1090.24
1981.11
817.751
1485.83654.274
1188.67
27
3271.46
5945.00
1635.79
2972.50
1090.60
1981.67
818.02:3
1486.25
654.491
1189.00
28
3272.55
5946.67
1636.33
2973.33
1090.96
1982.22
818.295
1486.67
654.7'09
1189.33
29
3273.66
5948.33
1636.89
2974.17
1091.33
1984.78
818.575
1187.08
654.933
1189.67
30
3274.78
5950.00
1637.45
2975.00
1091.71
1983.33
818.854
1487.50
655.156
1190.00
31
3275.87
5951.67
1638.00
2975.83
1092 07
1983.89
819.126
1487.92655 374
1190.33
32
3276.96
5953.33
1638.54
2976.67
1092.43
1984.44
819.398
1488.33655.59-2
1190.67
33
3278.08
5955.00
1639.10
2977.50
1092.80
1985.00
819 678
1488.75655.815
1191.00
34
3279.19
5956. 67 '1639. 66
2978.33
1093.18
1985.56
819.957
1489.17
656.039
1191.33
35
3280.31
5958.33:1640.22
2979.17
1093.55
1986.11
820.237
1489.58
656.262
1191.67
36
3281.43
5960.00; 1640. 77
2980.00
1093.92
1936.67
820.516
1490.00
656.486
1192.00
37
3282.52
5961. 67! 16 41. 32
2980.83
1094.28
1987.22
820.788
1490.42
656.704
1192.33
38
3283.61
5963.33 1641 86
2981.67
1094.65
1987.78
821.060
1490.83
656.922
1192.67
39
3284.72
5965.00
1642.42
2982.50
1095.02
1988.33
821.340
1491.25
657.145
1193.00
4O
3285.84
5966.67
1642.98
2983.33
1095.39
1988.89
821.619
1491.67
657.369
1193.33
41
3286.93
5968.331643.52
2984.17
1095.76
1989.44
821.891
1492.08
657.586
1193.67
42
3288.02
5970.00 1644.07
2985.00
1095: 12
1990.00
822.163
1492.50
657 . 804
1194.00
43
3289.13
5971.67 1644.63
2985.83
1096.49
1990.56
822.443
1492.92
658.028
111)4.33
44
3290.25
5913.33 1615.19
2986.67
1096 86
1991.11
822.722
1493.33
658.251
1194.67
45
3291.37
5975.001645.74
2987.50
1097.24
1991.67
823.002
1493.75
658.475
1195.00
46
3292. 49| 597<i.67 1616.30
2988.33
1097.61
1992.22
823.281
1494.17
658.698
1195.33
47
3293. 60 59 78. 33 161(5 86
2989.17
1097.98
199-2.78
823.5601494.58
658.92-2
1195.67
48
3294.72 5980.00 1647.42
2990.00
1098.35
1993.33
823. 840 11495. 00
659.145
1196.00
49
3295. 81 15981. 67^647. 97
2990.83
1098.72
1993.89
824.112
1495.42
659.363
1196.33
5O
3298.90
:>9: v3. 33 1648.51
2991.67
1099.08
1994.44
824.384
1495.83
659.581
1196.67
51
3298.02
5985.00 1649.07
2992.50
1099 45
1 995. 00 j 824 664 1496.25
659.804
1197.00
52
3299.13
5986.67 1649.63
2993.33
1099.82
1995.56824.943 1496.67
660.028
1197.33.
53
3:300.2.-)
5988.33 1650.19
2994.17
1100.20
1996.11!825.222 1497.08
660.252
1197.67
54
3301.37
5990.00 1650.74
2995.00
1100.57
1 996 . 67 i 825 . 502 1 497 . 50 660 . 475
1198.00
55
3302.46
5991.671651.29
2995.83
1100.93
1997.22825.774
1497.92660.693
1198.33
56
3303.51
.-)993.3i 1651.83
2996.67
1101.29
1997.7882(5.046
1498.33660.911 1198.67
57
3304. (Hi
51195.00 1652 39
2997.50
1101 67
1 998 . 33 8-26 . 325 1 498 . 75 66 1 . 1 34
1199.00
58
3305. 78
5996.67 1652.95 2998. 33
1102.04
1998. 89 820. (105 1499. 17 661. 35S
1199.33
59
3306. IX)
5998.33 1653.51 2999.17
1102.41
1999.44 826.884'14G9.58 6(51 .581
1199.67
164
TABLE XIV. — ACTUAL TANGENTS, ETC.
0° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
59°
Tan.
Arc.
Tan.
Arc.
Tan.
405.533
Arc.
Tan.
Arc.
Tan.
Arc.
590.000
M7
540.520983.333
463.377 842 857
737.500
360.548
655.556324.577
o
540.706983.611
463.537 843.095
405.672737.7'08
360.672
655.741 324. 688
590.167
1
540.89-2
983.889
463.696843.333
405.812737.917
360.797
655.920324.800
590.333
2
541.074984.167
463.852
843.571
405.948
738.12.-)
360.918
050.111 324.909
590.500
3
541.255
984.444
464.008
843.810
406.084
738.333
361.039
056.290325.018
590.667
4
541.442984.722
464.167
8 44.048
406.224
738.542
361.163 656.481 325.130 590.833
5
541.628
986.000
464.327
844.286
406.364
138.750
301 287 656.667
325.242591.000
6
541.809985.278
464.483
844.524
406. SOU
738.958
361.409656.852
325.351 591.167
7
541.991
985.556
464.638
844.762
406.636
739.167
361.530
657.037
325.460
591.333
8
542.172
985.833
464.794
845.000
406.773739.375
361.651
657.222
325.569
591.500
9
542.354
986.111
464.949
845.238
406.909739.583
361.772
657.407
325.678
591.667
1O
542.540
986.389
405. 109
845. 47G
407.049739.792
361.896
657.593
325.790
591.833
11
542.727
986.667
465.269
845.714
407.188740.000
362.020
657.778
325.902
592.000
12
542.908
986.944
465.424
845.952
407.325740.208
362.141
657.963
326.011
592.167
13
543.090987.222
465.580
846.190
407.461 740.417
362.262
658.148
326.120
592.333
14
543.276
987.500
465.740
846.429
407.600740.625
362.387
658.333
326.232
592.500
15
543.4621987.778
465.899
846.667
407.740740.833
362 511
658.519
326.344
592.667
16
543.644
988. 05C
466.055
846.905
407.876741.042
362.632
658.704
326.453
592.833
17
543. 825 i 988.3:33
466.211
847.143
408.013741.250
362.753
658.889
326.562
593.000
18
544.012988.611
466.370
847.381
408.152
741.458
362.877
659.074
326.673
593.167
19
544.198988.889
466.530
847.619
408.292741.667
363.002
659.259
326.785
593.333
30
544.379989.167
466.686
847.857
408. 428 1741. 875
363.123
659.444
326.894
593.500
21
544.561
989.444
466.841
848.095
408.565742.083
363.244
659.630
327.003
593.667
22
544.747
989.722
467.001
848.333
408.704 742.292
303.368
659.815
327.115
593.833
23
544.933
990.000
467.161
848.571
•408.844 742.500
363.492
660.000
327.227
594.000
24
545.120
990.27'8
467.320
848.810
408.984 742. 70S
363.617
660.185
327.3:39
594.167
25
545. 306 1990. 55(3
467.480
849. 04b
409.124 742.917
363.741
060.370
327.451
594. 333
26
545.488
990.833
467 636
849.286
409. 260 743.125
363.862
660.556
327.560
594.500
27
545.669
991.111
467.791
849.524
409.396 743.333
363.983
660.741
327.669
594.667
28
545.855
991.389
467.951
849.762
409.536
743.542
364.107
660.926
327,781
594.833
29
546.042
991.667
468.111
850.000
409.676
743.750
364.232
661.111
327.892
595.000
30
546.223
991.944
468.266
850. 2S8
409.812
743.958
364.353
661.296
328.001
595.167
31
546.405
992.222
468.422
850.476
409.948
744.167
364.474
661.481
328.110
595.333
32
546.591
992.500
468 582
850.714
410.088
744.375
364.598
661.667
328.222
595.500
33
546.777
992.778
468.741
850.952
410.227
744.583
364.722
661.852
328.334
595.667
34
546.964
993.056
468.901
851.190
410 367
744.792
364.847
662.037
328.446
595.833
35
547. 150 993. 333
547.331 993.611
469 061
469.217
851.429
851.667
410.507 745.000
410.643J745.208
364.971
365.092
662.222
662.407
328.558
328.667
596.000
596.167
36
37
547.513
993.889
469.372
851.905
410 779 745.417
365.213
662.593
328.776
596.333
38
547.699
994.167
469.532
852.143
410.919
745.625
365.337
662.778
328.888
596.500
39
547.886
994.444
469.692
852.381
411.059
745.88?
865.462
662.963
329.000
596.667
40
548.067
994.722
469.847
852.619
411.195
746.04^
365.583
663.148
329.109
596.833
41
548.249
995.000
470.003
852.857
411.331 746.250
365.704
663.333
329.218
597.000
42
548.435
995.278
470.162
853.095
411.471S746.458
365.828
663.519329.330
597.167
43
548. 62 i| 995. 556
470.322
853.333
411.611 746.667
365.952
663. 7'04 1329.441
597.333
44
5 48. 807 1995. 833
470.482853.571
411.751
7'46.875
366.077
663.889
329.553
597.500
45
548.994
996.111
470.642853.810
411.890747.088
366.201
664.074
329.665
597.667
46
549.180 996.389
470.801 854.048
412.030
747.292
366.325
664.259
329.777
597.833
47
549.366
996.667
470.961
854.286
412.170
747.500
366.449
664.444
329.889
598.000
48
549.548
996.944
471.117
854.524
412.306
747.708
366.570
664.630
329.998
598. 167
49
549.729997.222
471.272
854.762
412.442
747.917
366.691
664.815
330.107
598.333
50
549.916
997.500
471.432
855.000
412.582
748.125
366.816
665.000
330.219
598.500
51
550.102
997.778
471.592
855.238
412.722
748.333
366.940
665.185330.331
598.607
52
550.288998.056
471.751
855.476
412.862
748.542
367.064
605. 370 1 330. 443
598.833
53
550.475998.333
471.911
855.714
413.001 748.750
367,189
665.556330.554
599.000
54
550.656
998.611
472.067
855.958
41 3. 138! 748. 958
367.310
665. 741 1330. 663
599.167
55
550.838
998.889
472.222
806. 190
413.274
749.167
367.431
665. 926330. 772
599.33:3
56
551.024999.167
472. 382 1856.429
413.414
749.375
367.555
6C6.111 330.884
599.500
57
551.210
999.444
472. 542: 856. (JO 7
413.553
749.583
367.679666.296330.996
599.607
58
551.39?
999. 75k
472.701:85G.90f
413.693749.792
367.804
666. 481 J331. 108 599. 833
59
165
TABLE XIV.— ACTUAL TANGENTS, ETC.
60°
"SET
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
~~o"
3308.01
6000.00
1654.07
3000.00
1102.78
2000.00
827.164
1500.00
661.805
1200.00
i
3309.13
6001.67
1654.63
3000.83
1103.16
2000.56
827.443 1500.42
662.028
1200.33
2
3310.25
6003.33
1655.18
3001.67
1103.53
20U1.11
827.723 1500.83
662.252
1200.67
3
3311.37
6005.00
1655.74
3002.50
1103.90
2001.67
828.002
1501.25
662.475
1201.00
4
3312.48
6006.67
1656.30
3003.33
1104.27
2002.22
828.281
1501.67
662 . 699
1201.33
5
3313.57
6008.33
1656.85
3004.17
1104.64
2002.78
828.5531502.08
662.917
1201.67
6
3314.66
6010.00
1657.39
3005.00
1105.00
2003 33
828.8*5
1502.50
663.134
1202.00
7
3315.7816011.67
1657.95
3005.83
1105 37
2003.81)
-S29.105
1502.92
663.358
1202.33
8
331 6. 89! G013. 33
1658.51
3006.67
1105.7:;
2004.44
829.384
1503.33
663.581
1202.67
9
3318.01
6015.00
1659.07
3007.50
1106.12
2005.00
829.664
15U3.75
663.805
1203.00
10
3319.13
6016.67
1659.63
3008.33
1*>6.49
2005.56
829.943
1504.17
664.029
1203.33
11
3320.25
6018.33
1660.18
3009.17
1106.86
2006.11
S30.222
1504.58
664.252
1003.67
12
3321.36
6020.00
1660.74
3010.00
1107.24
2006.67
830.502
1505.00
664.476
1204.00
13
3322.48
6021.67
1661.30
3010.83
1107.61
2007.22
830.781
1505.42
664.699
1204.33
14
3223.60
6023.33
1661.86
3011.67
1107.98
2007.78
831.060
1505.83
664.923
1204.67
15
8324.72
6025.00
1662.42
3012.50
1108.35
2008.33
831.340
1506.25
665.146
1205.00
16
3325.83
6026.67
1662.98
3013.33
1108.73
2008.89
831.619
1506.67
665.370
1205.33
17
3326.95
6028.33
1663.54
3014.17
1109.10
2009.44
831.899
1507. OS
665.593
1205.67
18
3328.07
6030.00
1664.09
3015.00
1109.47
2010.00
832.178
1507.50
665.817
1206.00
19
3329.18
(5031.67
1664.65
3015.83
1109. M
2010.56
832.457
1507.92
606.040
1206.33
2O
3330.30
6033.33
1665.21
3016.67
1110.21
2011.11
832.737
1508.33
666.264
1206.67
21
3331.39
6035.00
1605. 70
3017.50
1110 58
2011.67
833.009
1508.75
666.482
1207.00
22
3332.48
6036.67
1666.30
3018.33
1110.94
2012.22
833.281
1509.17
666.699
1207.33
23
3333.60
6038.33
1666.86
3019.17
1111.31
2012.78
838.561
1509.58
666.923
1207.67
24
3334.71
6040.00
1667.42
3020.00
1111.69
2013.33
833.840
1510.00
667.146
1208.00
25
3335.83
6041.67
1667.98
3020.83
1112.06
2013.89
834.119
1510.42
667.370
1208.33
26
3336.95
6043. 33
1668.54
3021.67
1112.43
2014.44
834.399
1510.83
667.593
1208.67
27
3338.07
6045.00
1669.09
3022.50
1112.80
2015.00
834.678
1511.25
607.817
1209.00
28
3339.18
6016.67
1669.65
3023.33
1113.18
2015.56
834.957
1511.67
668.041
1209.33
29
3340.30
6048.33
1670.21
3024.17
1113.55
2016.11
835.237
1512.08
668.264
1209.67
30
3341.42
6050.00
1670.77
3025.00
1113.92
2016.67
835.516
1512.50
668.488
1210.00
31
3342.53
6051.67
1671.33
3025.83
1114.29
2017.22
835.796
1512.92
668.711
1210.33
32
3343 65
6053.33
1671.89
3026.67
1114.67
2017.78
836.075
1513.33
668.935
1210.67
33
3344.77
6055.00
1672.45
3027.50
1115.04
2018.33
836.354
1513.75
669.158
1211.00
34
3345.89
6056.6?
1673.00
3028.33
1115.41
2018.89
836.634
1514.17
669.382
1211.33
35
3347.00
6058.33
1673.56
3029.17
1115.78
2019.44
836.913
1514.58
669.605
1211.67
36
3348.12
6060.00
1674.12
3030.00
1116.16
2020.00
837.192
1515.00
669.829
1212.00
37
3349 24
6061.67
1674.68
3030.83
1116.53
2020.56
837.472
1515.42
670.052
1212.33
38
3350.36
6063.33
1675.24
3031.67
1116.90
2021.11
837.751
1515.83
670.276
1212.67
39
3351.47
6065.00
1675.80
3032.50
1117.27
2021.67
838.031
1516.25
670.499
1213.00
40
3352.59
6066.67
1676.36
3033.33
1117.65
2022.22
838.310
1516.67
670.723
1213.33
41
3353.71
6068.33
1676.92
3034.17
1118.0212022. 78
838.589
1517.08
670.946 1213.67
42
3354.82
6070.00
1677.47
3035.00
1118 39:2023.33
838.869
1517.50
671.1701214.00
43
3355.94
6071.67
1678.03
3035.83
1118.76!2023.89
839.148
1517.92
671.393
1214.33
44
3357.06
0073.33
1678.59
3036.67
1119.132024.44
839.427
1518.33
671.617
1214.67
45
3358.21
6075.00
1679.16
3037.50
1119.522025.00
839.714
1518.75
671.846
1215.00
46
3359.35
6076.67
1679.74
3038.33
1119 902025.56
840.000
1519.17
672.075
1215.33
47
3300.47
6078.33
1680.30
3039.17
1120.272026.11
840.280
1519.58
672.299
1215.67
48
3361.59
6080.00
1680.85
3040.00
1120.64 2026.67
840.559
1520.00
072.522
1216.00
49
3362.70
6081.67
1681.41
3040.83
1121.02
2027.22
840.839
1520.42
672.746
1216.33
50
3363.82
6083.33
1681.97
3041.67
1121.39
2027.78
841.118
1520.83
672.970
1216.67
51
3364.94
6085.00
1682.53
3042.50
1121.76
2028.33
841.397
1521.25
073 .103
1217.00
52
3366.05
6086.67
1683.09
30-13.33
1122.13
2028.89
841.677
1521.67
673.417
1217.33
53
3367.17
6088.33
1683.65
3044.17
1122.51
2029.44
841.956
152, '.08
673.640
2 1 7 . 67
54 13368.29
6090.00
1684.21
3045.00
1122.882030.00
842.235
1522.50
673.864
1218.00
55 3369.41
6091.67
1684.77
3045.83
1123.252030.56
842.515
1522.92
074.087
1318.33
56 3370.52
6093. 33
1685.32
3046.67
1123.622031.11
842.794
1523.33
674.311
1218.67
57 13371.64
6095.00
1685.88
3047.50
1124.002031.67
843.074
1523.75
674.584
1219.00
58
3372.76
6096.67
1686.44
3048.33
1124.372032.22
813.353
1524.17
674.758
1219.33
59
3373.90
6098.33
1687.01
3049.17
1124.75 2032.78
843 640
1524.58
074.987
1219.67
166
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
6O°
, Ta n .
Arc.
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
55 1 . 58:5 1 000 . 00 4 72 . 80 1 857 .143
413.833
750.000 367.928
666.667
331.220
600.000
~O~
55 1 . 760 1 000 . 28 473 . 021 i 857 . 381
413.973
750.208i368.052
666.852
331.332
600.167
1
551.955 100J. 50 473.181 857.619
414.112
750. 41 7 1368.1 76
667.037
331.444
600.333
3
552.142! 1000. 83 473.340
857.857
414.252
750. 625 ! 368. 301
667.222
331.555
600.500
3
552.328
1001.11 473.500
858.095
414.392
750.833368.425
667.407
331.667
600.667
4
552.510
1001.39
473. 6GO
858.333
414.528
751.042
368.546
667.593
331.776
600.833
5
55-3.09]
1001.67
473.819
858.571
414.664
751.250
368.667
667.778
331.885
601.000
6
552.877
1001.94
473.975
858.810
414.804
751.458
368.791
667.963
331.997
601.167
7
553.064
1002.22
474.131
859.048
414.944
751.667
368.916
668.148
332.109
601.333
8
553.250
1002.50
474.290
859.286
415.084
751.875
369.040
668.333
332.221
601.500
9
553.436
1002.78
474.450
859.524
415.223
752.083
369.164
668.519
332. a33
601.667
1O
553.623
1003.06
474.610
859.762
415.363
752.292
369.288
668.704
332.445
601.833
11
553.809
553.995
1003.33474.769
1003.61 474.929
860.000
860.238
415.503
415.643
752.500
752.708
369.413
369.537
668.889
669.074
332.557
332.668
602.000
602.167
13
13
554.181
1003.89
475.089
860.476
415.783
752.917)369.661
669.259
333.780
602.333
14
554. 3U8
1004.17
475.249
860.714
415.922
753.125
369.785
669.444
332.892
602.500
15
554.554
1004.44
475.408
860.952
416.062
753.833
369.910
669.630
333.004
602.667
16
564.740
1004.72
475.568
861.190
416.202
753.542370.034
669.815
333 116
602.833
17
554.927
1005.00
475.728
861.429
416.342
753.750370.158
670.000
333.228
603.000
18
555.113
1005.28
475.887
861.667
416.481
753.958
370.282
670.185
333.340
603.167
19
555.299
1005.56
476.047
861.905
416.621
754.167
370.407
670.370
333.452
603.333
20
555.481
1005.83
476.203
862.343
416.757
754.375370.528
670.556
333.561
603.500
31
555.662
1006.11
476.358
862.381
416 894
754.583370.649
670.741
333.670
603.667
33
555.849
1006.39
476.518
862 619
417.033
754.792370.773
670.926
333.781
603.833
33
556.035
1(106.67
476.678
862.857
417.173
755.000370.897
671.111
333.893
604.000
34
556.22!
1006.94
476.837
863.095
417.313
755.208
371.022
671.296
334.005
604.167
35
556.407
1007.22
47-6.097
863.333
417.453
755.417
371.146
671.481
334.117
604.333
36
556.594
1007.50
477.157
803.571
417.592
755.625
371.270
671 CG7
334.229
604.500
37
556.780
1007.78
477.317
863.810
417.732
755.833371.395
671.852
334.341
604.667
38
556.966
1008.06
477.476
864.048
417.872
756.042
371.519
672.037
334.453
604.833
39
557.153
1008.33
477.636
864.286
418.012
756.250
371 .643
672 222
334.564
605.000
30
557.339
1008.61
477.796
864.524
418.151
758.4581371 767
672.407
334.676
605.167
31
557.525
1008.89
477.955
864.762
418.291
756.667
371.892
672.593
334.788
605.333
33
557.712
1009.17
478.115
865.000
418.431
756.875
372.016
672.778
334.900
605.500
33
557.898
1009.44
478.275
865.238
418.571
757.083 372. 140
67'2.963
335.012
605.667
34
558.084
1009.72
478.435
865.476
418.711 757.292
372.264
673.148
335.124
605.833
35
558.270
1010.00
478.594
865.714
418.850
757.500372.389
673.333
335.236
606.000
36
558 457
1010.28
478.754
865.952
418.990
757.708
372.513
673.519
335.348
606.167
37
558.643
1010.56
478.914
866.190
419.130
757.917
372.637
673.704
335.459
606.333
38
558.829
1010.83
479.073
866.429
419.270
758.125
372.761
673.889
335.571
606.500
39
559.016
1011.11
479.233
866.667
419.409
758.333
372.886
674.074
335.683
G06.667
4O
559.202
1011.39
479.393
866.905
419.549
758.542
373.010
674.259
1335.795
606 833
41
559.388
1011.67
479.553
867.143
419.689
758.750
373.134
674.444
335 907
607.000
43
559.574
1011.94
479.712
867.381
419.829
758 958
373.259
674.630
336 019
607.167
43
559.761
1012.22
479.872
867.619
419.969
759.167
373.383
674.815
336.131
607.333
44
559.952
1012.50
480 036
867.857
420.112
759.375
373.510
675.000
336.245
607.500
45
560.143
1012.78
480.200
868.095
420.255
759.583
373.638
675.185
336.360
607.667
46
560.329
1013.06
480.359
868.333
420 395
759.792
373.762
675.370
336.472
607.833
47
560.516
1013.33
480.519
868.571
420.535
760.000
373.886
675.556
336.584
608.000
48
560.702
1013.61
480.679
868.810
420.675
760.208
374.011
675.741
336. 69f
608.167
49
560.888
1013.89
480.838
869.048
420.814
7G0.417
37'4.135
675.926
336.808
608.333
50
561.074
1014.17
480.998
809 286
420.954
760.625
374.259
676.111
336.919
608.500
51
561.261
1014.44
481.158
869.524
421.094
760. 833
374.383
676.296
337.031
608.667
53
561.447
1014.72
481.318
869.762
421.234
761.042
374.508
676.481
337.143
608.833
53
561.633
1015.00
481.477
870.000
421.373
761.250(374.632
676.667
337.255
609.000
54
561.820
1015.28
181.637
870. 23S
421.513
761.458374.756
676.852
337.367
609.167
55
563.006
1015.56
481 . 797
870.476
421.653
761.6671374.880
677.037
337.479
609.333
56
562.192
1015.83
481.956
870.714
421.793
761.875375.005
677.222
337.591
609.500
57
562.379 1016.11
482.116
870.952
421.932
762. 083 : 37 5. 129
677.407
337.703
609.667
58
502. 570 11016.39
-183.280
871.190
422.076
7'62. 292 1375.256
677.593
337.817
609.833
59
167
TABLE XIV. — ACTUAL TANGENTS, ETC.
61"
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tun. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
3375.05 0100.00
1087.59
3050.00
1125.1320.-J3.33
S tt . '.)->6
1525.00
675.210
1220.00
1
3376. 176101. 67
1088.15
3050.83
1125.51
2033.89
844.205
1525.42
675.440
1220.33
2
•3377.2816103.83
1088.70
3051 . 07
1125.88
2034.4}
844.485
1525.88
675.663
1220.67
3
3378.406105.00
1689.26
3052.50
1126.25
2035.00
844 764
1526.25
675.887
1221.00
4
3379.55
6106.07
1689.82
3053.33
1120.02
2035.50
845 . 0 14
1520.07
076.110
1221.33
5
3380.64
6108.33
1690.38
3054.17
1120.99
2030.11
845.323
1527.08
676.334
1221.07
6
3381.75
6110.00
16J0.94
3055.00
1127.37
2030.07
845.002
1527.50
676.557
1222.00
7
3382.87
6111.67
1691.50
3055.83
1127.7*4
2037.22
845.882
1527.92
676.781
1222.33
8
3383.99
6113.33
1092.06
3050.67
1128.11
2037.78
846.161
1528.33
677.004
1222.67
9
3385.13
6115.00
1692.63
3057.50
1128.49
2038.33
846.448
1528.75
677.234
1223.00
10
3386.28
6116.67
1693.20
3058.33
1128.88
2038.89
846.734
1529.17
677.463
1223. as
11
3387.40
0118.33
1093.76
3059.17
1129.25
2039.44
847.013
1529.58
677.686
1223.67
12
3388. M
0120.00
1694.32
3060.00
1129.02
2040.00
847.293
1530.00
677.910
122400
13
3389.63
6121.67
1694.88
3060.83
1129.99
2040.50
S47.572
1530.42
678.134
1224.33
14
3390.75
6123.33
1695.44
3001.67
1130.37
2041.11
847.852
1530.83
678.357
1224.67
15
3391.87
6125.00
1696.00
3062.50
1130.74
2041.07
848.131
1531.25
678.581
1225.00
16
3392.98
6126.67
1690.55
3003.33
1131.11
2042.22
848.410
1531.67
078.804
1225.33
17
3394.13
0128.33
1697.13
3064.17
1131.49
2042.78
848.697
1532.08
679.033
1225.67
18
3395.28
6130. OU
16^7.70
3065.00
1131.88
2043.33
848.983
1532.50
679.263
1226.00
19
339o.39
6131.67
1698.26
3065.83
1132.25
2043.89
849.263
1532.92
679. 4SO
1226.33
30
3397.51
6133.33
1698.82
3066.67
1132.62
2044.44
849.542
1533.33
679.710
1226.67
21
3398.03
6135.0U
1099.38
3067.50
1132.99
2045.00
849.822
1533.75
679.933
1227.00
33
3339. 15
6136.0;
1099.93
3068.33
1133.37
2045.50
850.101
1534.17
080.157
1227.33
23
3400.89
6138.33
1700.51
3069.17
1133.75
2040.11
850.387
1534.58
080 380
1227.67
24
3402.04
6140.00
1701.08
3070.00
1134.13
2046.07
850.674
1535.00
080.015
1228.00
25
3403.15
0141.67
1701.04
3070.83
1134.50
2047.22
850.953
1535.42
080.839
1228.33
20
3404.27
6143.33
1702.20
3071.67
1134.87
2047.78
851.233
1535.83
681.062
1228.67
27
.'3405.39
6145.00
1702.70
3072.50
11 3o. 25
2048.33
851.512
1536.25
681.286
1229.00
28
3406 51
6146.67
1703.32
3073.33
1135.62
2048.89
851.792
1536 67
081.509
1229.33
29
3407.05
6148.33
1703.89
3074.17
1136.00
2049.44
852.078
1537.08
081. 7'39
1229.67
30
3408.80
6150.00
1704.46
3075.00
1136.38
2050.00
852.365
1537.50
081.968
1230.00
31
3409.92
6151.67
1705.02
3075.83
1130.76
2050.56
852.044
1537.92
082.191
1230.33
32
3 41 1.03
6153.33
1705.58
3076.67
1137.13
2051.11
852.923
1538.33
682.415
1230.67
33
3412.16
0155.00
1706.15
3077.50
1137.51
2051.67
853.210
1538.7'5
682.644
1231.00
34
3413.32
6156.67
1706.72
3078.33
1137.89
2052.22
853.490
1539.17
682 873
1231.33
35
3414.44
6158.33
1707.28
3079.17
1138.20
2052.78
858.77*
1539.58
683.097
1231.67
30
3415.56
6160.00
1707.84
3080.00
1138.64
2053.33
854.055
1540.00
683.320
1232.00
37
3416.08
6161.67
1708.40
3080.83
1139.01
2053.89
854.335
1540.42
683.544
1232.33
38
8 417.79
6103.33
1708.96
3081.67
1139.38
2054.44
854.614
1540.83
6N3 767
1232.67
39
3118.94
0105.00
1709.53
3082.50
1139.70
2055.00
854.900
1541.25
083.997
1233.00
40
3420.09
6166.67
1710.11
3083.33
1140.15
2055. 56
855.187
1541.67
684.236
1233.33
41
3421.20
6168.33
1710.60
3084.17
1140.52
2056.11
855.460
1542.08
684.450
1233.67
42
3422.32
6170.00
1711.22
3085.00
1140.892050.67
855 746
1542.50
684.673
1234.00
43
3423.47
6171.07
1711.80
3085.83
1141.272057.22
856.032
1542.92
684.902
1234.33
44
3424.01
6173.33
1712.373080.07
1141.652057.78
850.818
1543.33
685.132
1234.07
45
3425.73
0175.00
1712.933087.50
1142.032058.33
856.598
1543.75
685.355
1235 00
46
47
3426.85
3427 99
0176.67
617'8.33
1713.493088.33
1714.0G!3089.17
1142.402058.89
1142.782059.44
856.878
857.164
1514.17
1544.58
685.579
685 808
1235.33
1235.67
48
3129.14
0180.00
1714. 6313090. 00
1143.162060.0'
857 451
1515.00
686 037
1236.00
49
343 J. 26
6181.67
1715.19
3090.83
1143.542060.56
857.730
1545.42
686.261
1236.33
50
3431.37
6183.33
1715.75
3091.67
1143.91
2001.11
858 009
1545.83
686.484
1236.67
51
3132 52
6185.00
716.32
3092.50
1144.29
2001.67
858.296
1546.25
686.713
1237.00
52
3433.66
6186.67
716.90
3093.33
1144.07
2062.22
858.582
1546.67
686.943
1237.33
53
3434 78
6188.33
717.45
3094.17
1145.05
2002.78
858.862
1517.08
687.160
1237.07
54
3435.90
6190.00
718.01
3095.00
1145.42
2003.33
859.111
1547.50
687.390
1238.00
55
3437.05
0191.67
718.59
3095.83
1145.80
2003.89
859.428
1547.92
687.019
1238.33
56
3138.19
6193.33
719.16
3096.07
1146.18
2004.44
859.714
1548.33
687.848
1238.67
57
3439.31
6195.00
719.72
3097.50
1140.55
2005.00
859.994
1548.75
688.072
1239.00
58
3440.43
6196.07
1720 28
3098.33
1146 93
2065.56860.273
1549.17
688.295
1239.33
59
3441.57
0198.33
1720.85
3099.17
1147.31
2066. 11 i860. 560
1549.581688.525
1239.67
168
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
61°
1ST
Tan.
Arc.
Tan.
Arc. Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
562.761
1016.67
482.444871.429422.219
762.500
375.384
677.778
337.932
610.000
0
562.947
1016.94
482. 003 871. 667 422. 3f>9
762.708
37 5 . 508
677.963
338.044
610.167
i
663.138
1017.22
482.763
871.905422.499
762.917
375.632
678.148
338.156
610. 333
3
563.320
1017.50
482.923
872.143
422.639
703.125
375.757
678.333
338.268
610.500
3
563.506
1017.78
483.083
872.381
422.778
763.333
375.881
678.519
338,380
610.667
4
563.692
1018.06
483.242
872.619
422.918
763.542
376.005
678.704
338.491
610.833
5
563.878
1018.33
483.402
872.857
423.058
763.7'50
376.129
67S.889
338.603
611.000
6
564.065
1018.61
483.562
873.095
423.198
763.958
376.254
679.074
338 715
611.167
7
564.251
1018.89
483.721
873.333
423.337
764.167
376.378
679.259
338.827
611.333
8
564.442
1019.17
483.885
873.571
423.481
764.375
376.505
679.444
338.942
611.500
9
564.633
1019.44
484.049
873.810
423.624
764.583
376.633
679.630
339.056
611 667
10
564.819
1019.72
484.209
874.048
423.764
764.792
376.757
679.815
339.168
611.833
11
565.006
1020.00
484.368
874.286
423 904
765 000
376.881
680.000
339.280
612.000
12
565.192
1020.28
484.528
874.524
424.043
765.208
377.006
680.185
339.392
612.167
13
565.378
1020.56
484.688
874.762
424.183
765.417
377.130
680.370
339.504
612.333
14
565.565
1020.83
484.847
875.000
424.323
765.625
377.254
680.556
339.616
612.500
15
565.751
1021.11
485.007
875.238
424.463
765.833
377.378
680.741
339.728
612.007
16
565.942
1021.39
485.171
875.476
424.606
766.042
377.506
680.926
339.842
612.833
17
566.133
1021.67
485. 335
875.714
424.749
766.250
377.633
681.111
339.957
613.000
18
566.319
1021.94
485.495
875.952
424.889
766.458
377.758
681.296
340.069
613.167
19
566.506
1022.22
485.654
876.190
425.029
766.667
377.882
681.481
340.181
613.333
20
566.692
1022.50
485.814
876.429
425.169
766.875
378.006
681.667
340.293
613.500
31
566.878
1022.78
485.974
876.667
425.309
767.083
378.130
681.852
340.405
613.607
22
567.069
1023.06
486.137
876.905
425,452
767.292
378 258
682.037
340.519
613.833
23
567.200
1023.33
486.301
877.143
425.595
767.500
318.385
682.222
340.634
614.000
24
567.447
1023.61
486.461
877.381
425.735
767.708
378.510
682.407
340.746
614.167
25
567.633
1023.89
486.621
877.619
425.875
767.917
378.634
682.593
340.858
614.333
26
507 819
1024.17
486.780
877.857
426.015
768.125
378.758
682.778
340.970
614.500
21
568.006
1024.44
486.940
878.095
426.154
768.333
378.882
682.963
341.082
614.667
2%
568.197
1021.72
487.104
878.333
426.298
768.542
379.010
683.148
341.196
614.833
2<J
568.388
1025.00
487.268
878.571
426.441
768.750
379.137
683.333
341.311
615.000
3O
568.574
1025.28
487.427
878.810
426.581
768.958
379.262
683.519
341.423
615.167
31
608.760
1025.56
487 587
879.048
426.721
769.167
379.386
683.704
341 . 535
615.333
'32
568.951
1025.83
487.751
879.286
426.864
769.375
379.513
683 889
341.650
615.500
33
569.143
1026.11
487.915
879.524
427.007
769.583
379.641
684.074
341.764
615.667
34
569.329
1026.39
488.074
879.762
427.147
769.792
379.765
684.259
341.876
615.833
35
569.515
1026.67
488.234
880.000
427.287
770.000
379.889
684.444
341.988
616.000
30
569.701
1026.94
488.394
880.238
427.427
770.208
380.014
684 630
342.100
616.167
37
569.888
1027.22
488.554
^80.476
427.566
770.417
380.138
684.815
342.212
616.333
38
570.079
1027.50
488.717
880.714
427.710
770.625
380.265
685.000
342.327
616.500
39
570.270
1027.78
488.881
880.952
427.853
770.833
380.393
685.185
342.441
616.667
40
570.456
1028.06
489.041
881.190
427.993
771.042
380.517
685.370
342.553
616.833
41
570.642
1028.33
489.201
881.42H
428.133
771.250
380.641
685.556
342 665
617.000
43
570.834
1028.61
489.364
881.667
428.276
771.458
380.769
685.741
342.780
617.167
43
57 .025
1028.89
489.528^881.905
428.419
771.667
380.896685.926
342.894
617.333
44
57 .211
1029.17
489.688
882.143
428.559
771.875
381.020686.111
343.006
617.500
45
57 .397
1029.44
489.848
882.381
428.699
772.083
381.145686.296
343.118
617.667
46
57 .58>
1029.72
490.011
882.619
428. H42
772.292
381. 272 1 686. 481
343.233
617.833
47
57 .779
1030.00
490.175
882.857
428.986
772.500
381 .400
686.667
343.348
618.000
48
57 .966
1030.28
490.335
883.095
429.125
772.708
381.524
686.852
343.460
618.167
49
572.152
1030.56
490.495
883.333
429.2f>5
772.917
381.648
687.037
343.571
618.333
5O
572.343
1030.83
490.658
883.571
429.409
773.125
381.776
687.222
343.686
618.500
51
572.534
1031.11
490.822
883.810
429.552
773.333
381.903
687.407
343.801
618.667
53
572.720
1031.39
490.982
884.048
429.692
773.542
382.027
687.593
343.913
618.833
53
572.907
1031.67
491.142
884.286429.831
773.750
382.152
687.778
344.025
619.000
54
573.098
1031.9-1
491.305
884.524429.975
773.95S
382.279
687.963
344.139
019.167
55
573.289
1032.22
491.469
884.762430.118
774.167
382.407
688.148
344.254
619.333
56
573.475
1032.50
491.629
885.000430.258
774.375
382 531
688. 333
344.366
519.500
57
573.661
1032.78
41)1. 7 89 885. 238 430. 398
774.583
382.655
688.519
344.478
619.667
58
573.852
1033. C6
491.953885.476430.541
774.792
382.783
688.704
344.593
619.833
59
169
TABLE XIV. — ACTUAL TANGENTS, ETC.
62°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc
~~~O~
3442.72
6200. i;0 1721.42
3100.00 1147.69
8066. ($7
860 846
1550.00
688.754
1240.00
1
H43.86
6 JO 1.67 1721. 99
3100.83 1148.07
2067.22
861.133
1550.4-
688.988
1240.33
2
-544"). 0!
6203.33
1722.57
3101.67
1148.45
2067.78
861.419
1550.83
689.212
1240.67
3
3146.13
6205.00
1723.13
3102.50
1148.83
2068.33
861.699
1551.25
689.436
1241.00
4
3147.24
6206.67
1723.69
3103.33
1149.20
2068.89
861.978
1551.67
689.659
1241.33
5
3148.39
6.208. :J3
1724.26
3104.17
1149.58
2069.44
862.264
1552.08
689.889
1241 67
6
3149.54
6210.00
1724.83
3105.00
1149.96
2070.00
862.551
1552.50
690.118
1242.00
7
3150.68
6211.67
1725.40
3105.83
1150.35
2070.56
862.838
1552.92
690.347
1242.33
8
MM. 88
6213.33
1725.98
3106.67
1150.73
2071.11
863.124
1553.33
690.576
1242.67
9
3453.94
6215.00
1726.54
3107.50
1151.10
2071.67
863.403
1553.75
690.800
1243.00
10
3454.08
6216.67
1727.09
3108.33
1151.47
2072.22
863.683
1554.17
691.023
1243.33
11
3455.21
6. '18. 33
1727.68
3109.17
1151.85
2072.78
863.969
1554.58
691.253
1243.67
13
3(56.35
62-30.00
1728.24
3110.00
1152.24
3073.88
864.256
1555.00
691.482
1244.00
13
3457.50
6221.67
172S.81
3110.83
1152.62
2073.89
864.542
1555.42
691.711
1244.33
14
3158.65
6223.33
1729.39
3111.67
1153.00
2074.44
864.829
1555.83
691.940
1244.67
15
3459.76
6225.00
1729.95
3112.50
1153.37
2075.00
865.108
1556.25
692.164
1245.00
10
3460.88
6226.67
1730.50
3113.33
1153.75
2075.56
865.388
1556.67
692. 38S
1245.33
17
3462.03
6228.33
1731.08
3114.17
1154.13
2076.11
865.674
1557.08
692.617
1245.67
18
3463.17
6230.00
1731.65
3115.00
1154.51
2076.67
865 961
1557.50
692.846
1246.00
19
3464.32
6231.67
1733.22
3115.83
1154.89
2077.22
866.247
1557.92
693 075
1246. 33
20
3465.46
6233.33
1732.80
3116.67
1155.27
2077.78
866.534
1558.33
693.305
1246.67
21
8466.68
6235.00
1733.35
3117.50
1155.65
2078.33
866.803
1558.75
693.528
1247.00
22
3467.70
6236.67
1788.91
3118.83
1156.02
2078.89
867.093
1559.17
693.752
1247.33
23
3468.84
623S.33
734.49
3119.17
1156.40
2079.44
867.369
1559.58
693.981
1247.67
24
3469.99
6240.00
735.06
3120.00
1156.78
2080.00
867.666
1560.00
694.210
1248.00
25
3471.14
6241.67
735.63
3120.83
1157.16
2080.56
867 952
1560.42
694.431)
1248.33
26
3472.28
6243.33
736.20
3121.67
1157.55
2081.11
868.239
1560.83
694.669
1248.67
27
3473.43
6245.00
736.78
3122.50
1157.93
2081.6?
868.535
1561.25
694.898
1249.00
28
3474.57
6246.67
737.35
3123.33
1158.31
2082.22
868.812
1561.67
695.127
1249.33
29
3475.69
6248.33
737.91
3124.17
1158.68
2082.78
869.091
1562.08
695.351
1249.67
30
3476.81
6250.00
738.47
3125.00
1159.06
2083.33
860.371
1562.50
695.574
1250.00
31
3477.95
6251.67
739.04
3125.83
1159.44
2083.89
869.657
1562.92
695.803
1250.33
32
3479.10
6253.33
739.61
3126.67
1159.82
2084.44
869.944
1563.33
696.033
1250.67
33
3480.25
6255.00
740.19
3127.50
1160.20
2085.00
870.230
1563.75
696.262
1251.00
34
3181.39
6256.67
740.76
3128.33
1160.58
2085.56
870.517
1564.17
696.491
1-351.33
35
36
34S3.54
3483.68
6258.33
6260.00
741.33
741.91
3129.17 1160.97
3130. OO1 11 61. 35
2086.11
2086.67
870.803
871.090
1564.58
1565.00
696.720
696.950
1251.67
1252.00
37
3184.83
6261.67
742.48
3130.83 1161.73
2087.23
871.376
1565.4.'
697.179
1252.33
38
3485.03
6263.33
743.0J
3131.67 1162.11
2087.78
8? 1.6(53
1565.83
607.408
1252.67
39
3437.12
6265.00
743.63
3133.501162.49
2088.33
871.919
1566.25
697.637
1253.00
40
348S.27
6266.67
744.20
3133.33 1162.88
2088.89
872.236
1566.67
697.867
1253.33
41
3489.41
6368.33
744.77
3134.17 1163.26
2089.44
872 523
1567.06
698.096
1253.67
42
3490.56
6270.00
745.34
3135.00 1163.64
2090.00
872.809
1567.50
698.325
1254.00
43
3491.68
6371.67
745.90
3135.83 1164.01
2090.56
873.088
1567.92
698.549
1254.33
44
3192.79
6373.33
746.46
3136.67 1164.38
2091.11
873.368
1568.33
698.772
1254.67
45
3493.94
6J75.00
747.033137.50 1164.77
3091.67
873.654
1568.75
699.003
1255.00
46
3495.01)
6276.67
1747. 6113138. 33! 1165. 15
2092.22
873.941
1569.17
699.231
1255.33
47
3496.23
6278.33
748.183139.17 1165.53
2092.78
874.227
1569.58
699.460
1255.67
48
49
3497.38
3498.52
6280.00
6281.67
748 75 3140.00
1749.333140.83
1165.91
1166.29
2093.33
2093.89
874.514
874.801
1570.00
1570.42
699.689 1256.00
699.9191256.33
50
3499.67
6283.33
1749.90
3141.67
1166.68
2094.44
875. 087 ' 1570. 83
700.1481256.67
51
3500.82
6285.00 1750.47
3142.50 1167.06
2095.00
875 374 1571.25
700.377 1257.00
52
3501.96
6286.67 1751.05
3143.33 1167.44
2095.56
875.6601571.67
700.606 1257.33
53
3503.1!
6288.331751.63
3144.171167.82
2096.11
875.947 1572.08
700. 836 11257. 67
54
3504.25
6290.00 1752.19
3145.00 1168.20
2096.67
876 283 1572.50
701.065 1258.00
55
3505.40
6291.67 1752.76
3145.83 1168.59
2097.22
876.520 1572.92
7'0 1.294 1258. 33
56
3506.55
6293.33 1753.34
3146.671168.97
2097.78
876.806 1573.33
701.523 1258.67
57
3507.6!)
6295.00 1753.91
3147.50 1169.35
2098.33
877.093 1573.75
701.7531259.00
58
3508.84
6296.67 1754.48
3148.331169.73
2098.89
877.379 1574.17
701.982 1259.33
59
3509.98
6298.33 1755.06
3149.17 1170.12
2099.44877.6661574 58
70-3.211 1259.67
170
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
63°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
574.044
1033.33
492.116885.714
430.684
775.000
382.910
688.889
344.707
620.000
0
574.235 1033.01
492. 280 '885. 952
430.828
775.208
383.037689.074
314.822
620.167
I
574.420 1033.89
492.444886.190
430.971
775.417
383.165689.259
344.937
620.333
2
574 012
1034.17
492.604886.429
431.111
775.625
383. 28S
689.444
345.049
620.500
3
674.798
1034.44
492.703886.667
431.251
775.833
383.413
089.630
345.161
620.667
4
574.989
1034.72
492.927
880.905
431.394
776.042
383.541
689.815
315.275
620.833
5
575.180
1035.00
493.091
887.143
431.537
776.250
383.608
690.000
345.390
621.000
6
575.372
1035.28
493.255
887.381
431.681
776.458
3S3.79G
690.185
345.505
621.167
7
575.503
1035.50
493.419
887.619
431.824
776.607
3S3.923
690.370
345.619
621.333
8
575.749
1035.83
493.578
887.857
431.964
776.875
384.048
090.556
345.731
621.500
9
575.935
1036.11
493.738
888.095
432.104
77". 083
384.172
690.741
345.843
621.667
10
570.120
1030.39
493 902
888.333
482.247
77". 292
384.299
090.926
345.958
621.833
11
570.317
1030.67
494.060
888.571
432.390
77". 500
384.427
691 .111
346.073
622.000
13
570.508
1036.94
494.229
888.810
432.534
77". 708
384.664
691.290
346.187
622.167
13
570.699
1037.22
494.393
889 048
432 677
77". 917
334.082
691.481
346.302
622.333
14
570.880
1037.50
494.553
889.280
432 817
778.125
384.800
691.067
340.414
622.500
15
577.072
1037.78
494.713
889.524
432.957
778.333
384.930
091.852
346.526
622.667
16
577.203
1038.06
494.870
889.702
433.100
778.542
385.058i 092. 037
346.641
622.833
17
577.454
1038.33
495.040
890.000
433 243
778.750
385.185
692.222
346.755
623.000
18
577.645
1038.61
495.204
890.238
433.387
778.958
385.313
692.407
346.870
623.167
19
577.836
1038.89
495.368
890.470
433.530
779.167
385.440
692.593
346.985
623.333
20
578.023
1039.17
495.528
890.714
433.670
779.375
385.504
692.778
347.097
623.500
21
578.209
1039.44
495.087
890.952
433 810
779.583
385.088
092.903
347.209
623. 667
22
578.400
1039.72
495.851
891.190
433.953
779.792
385. 8161693. 148
347.323
6243. 833
23
578.591
1040.00
490.015
891.429
434.090
780.000
385.943
093.333
347.438
624.000
24
578.782
1040.28
490.179
891.667
434.240
780.208
386.071
093.519
347.553
624.167
25
578.973
1040.50
490.342
891.905
434.383
780.417
386.198
093.704
347.668
624.333
26
579.104
1040.83
490.500
892.143
434.526
780.625
386.326
693.88!)
347.782
624.500
27
579.355
1041.11
490. 6iO
892.381
484.6ft)
780.833
386.453
694.074
347.897
624.667
28
579.542
1041.39
490.830
892.019
434.809
781.042
386.577
694.259
348.009
624.833
29
579.728
1041.67
496.989
892.857
434.949
781.250
386.702
694.444
348.121
625.000
30
579.919
1041.94
497.153
893.095
435.093
781.458
386.829
094.630
248.236
625.167
31
580.110
1042.22
497.317
893.333
435.236
781.007
386.957
694.815
348.350
625.333
32
580.301
1042.50
497.481
893.571
435.379
781.875
387.084
695.000
348.465
625.500
33
580 492
1012.78
497.045
893.810
435.523
782.083
387.212
095.185
348.580
625.667
34
580 083
1043.06
497.808
894.048
435.000
782.292
387.339
095.370
348.694
625.833
35
580.874
1043.33
497.972
894.286
435.809
782.500
387.466
095.556
348.809
626.000
36
581.000
1043.01
498.130
894.524
435.953
782.708
387.594095.741
348.924
626.167
37
581.257
1043.89
498.300
894.762
430.090
788.917
387.721
695.926
349.039
626. 333
38
581.448
1044.17
498.464
895.000
436.239
783.125
387.849
096.111
349.153
020.500
39
581.639
1044.44
498.628
895.238
436.383
783.333
387.976
696.296
349.268
626.667
40
581.830
1044.72
498.791
895.476
430.520
783.542
388.104
696.481
349.3*3
626.833
41
582.021
1045.00
498.955
895.714
436.669
783.750
388.231
696. (567
349.498
627.000
42
582.207
1045.28
499.115895.952
436.809
783.958
388.355
096.852
349.610
627.167
43
582.394
1045.50
499.275896.190
436.949
784.107
388.480
697.037
349.721
627.333
44
582.585
1045.83
499.438896.429
437.092
784.375
388.607
697.222
349.836
627.500
45
582.776
1046.11
499.602896.607
437.236
784.583
388.735
697.407
349.951
627.007
46
582.907
1046.39
499.706890.905
437.379
784.792
388.862
697.593
350.006627.833
47
583.158
1046.07
199.930 897. 143
437.522
785.000
388.990
697.778
350.180628.000
48
583.349
1040.94
500.094897.381
437.666
785.208
389.117
697.963
350.295
028.107
49
583.540
1047.22
500.257897.619
437.809
785.417
389.244
698.148
350.410
628.333
50
583.731
1047.50
500.421
897.857
437.953
785.625
389.372698.333
350.525628.500
51
583.922
1047.78
500.585
89S.095
438.090
785.833
389.499
698.519
350.639628.667
52
584.113
1048.00
500.7491898.333
438.239
786.042389.627
698.704
350.754
028.833
53
584.304
1048.33
5D0.913898.571
438 383
786.250389.754
698.889
350 809
629.000
54
584.495
1048.01
501. 070 S9S. 810
438.520
786.458389.882
699.074
350.983
0->9.167
55
584 . 080
1048.89
501.-J40 8SW.048
438.669
780.007390.009
699.259
351.098
029.333
56
584.877
1049,17
501.404 899.280
438.813
780.875390.137
699.444
351.213
029.500
57
685.061)
1049 44
501. 508; 899. 524
438.950787.083390.264
699.630
351.328
029.007
58
585.200
1049.72
501.732] 899. 702
439.099 787.292 390. 392 1 699. 815
351.442029.833
59
171
TABLE XIV. — ACTUAL TANGENTS, ETC.
63°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~O~
Tan.
3511.13
Arc.
Tan. Arc.
Tan.
Arc.
2100.00
Tan.
877.952
Arc.
Tan.
Arc.
1260.00
16300.00 1755.633150.00
1170.50
1575.00 702.440
1
35 1 2 . 28 630 1 . 07 1 756 . 20 31 50 . 83
1170.8Sl2100.5ti 878. 23U 1575.42 702. (570 1260.33
•>
3513.42
6303.33 1756.783151.67
1 1 71 . 20 2 1 ( ) 1 . 1 1 ; 8 , 8 . 520 1 575 . s:j 702 . 899
1260.67
3
3514.57
6305 . 00 1 757 . 35 i 3 1 52 . 50
1171.64:2101.07 878.812 157(5.25 703.128
1261.00
4
3515.71
6308 . 67 1 757 . 92 \ 31 53 . 33
1172.03 2102.22
819. 09ti
1576.07703.357
1261.33
5
3510.86 6308.33 1758.4913154. 1?
1172.41
2102.78
879.385
1577.08 7'03.587
1261.07
6
3518.01
6310.00 1759.07,3155.00
1172.79
2103.33
879.672
1577. 50:703. 816
1262.00
7
3519.15
6311.67 1759.64 3155.83
1173.17
2103.89
879.958
1577. 92 1704. 045
1262.33
8
3520.30
6313.33 1760.21 3156.67
1173.55
2104.44
880.245
1578.33704.274
1262.07
9
3521.44
6315.00
1760.79
3157.50
1173.94
2105.00
880.531
1578.75
704.504
1263.00
10
3522.59
6316.67
1761.36
3158.33
1174.32
2105.50
880.818
1579.17
704.733
1263.33
11
3523 73
6318.33
1761.93
3159.17
1174.70
2106 11
881.104
1579.58704.902
1263.67
12
3584.88
6320.00
1762.50
3160.00
1175.08
2106.67
881.391
1580.00705.191
1264.00
13
3526.06
6321.67
1763.09
3160.83
1175.47
2107.22
881.685
1580.42705.426
1264.33
14
3527.23
6323.33
1763.68
3161.67
1175.86J2107.78
881.978 1580.831705.661
1264.07
15
3528.38
6325.00
1764.25
3162.50
1176. 2512108. 33
882.205 1581. 25 7'05. 891
1205.00
16
3529.52
63-36.67
1761 83
3163.33
1176.632108.89
882.551 1581.07 700.120
1205.33
17
3530. G7
6328.33
1765.40
31(54.17
1177.01
2109.44
882 . 838 1 582 . ( >8 , 7 00 . 349
1205.07
18
3531.81
6330.00
1765.97
3165.00
1177.39
2110 00
883 .12411 582 . 50 7'00 . 578
1200.00
19
3532.96
6331.67
1766.54
3165.83
1177.77
2110.56
883.41111582.92700.808
1266.33
20
3534 11
6333.33
1767.12
3166.67
1178.16
2111.11
883.008
1583.33
707.037
1266.67
21
3535.25
6335.00
1767.69
3167.50
1178.54
2111.67
883.984 1583.75707.260
1207.00
22
3536.40
6336.67
1768.26
3168.33
1178.92
2112.22
884. 271 j 1 581. 17: 7t '7. 4 95
1207.33
23
3537.54
633S.33
1768.84
3169.17
1179.30
2112.78
884.557 1584.58 707.725
1207.07
24
3538.69
6310.00
1769.41
3170.00
1179.68
2113.33
884.814
1585. 00 707. 954
1268.00
25
3539.84
6341.67
1769.98
3170.83
1180.07
2113.89
885.130
1585.42708.183
1268.33
26
3540.98
6343.33
1770.56
3171.67
118J.45
2114.44
885.417
1585. 83 1708.41 3
1268.67
27
3542.16
6345.00
1771.14
3172.50
1180.81
2115.00
885.710
158(5. 25 17 OS. 04 7
1269.00
28
3543.33
6346.67
1771.73
3173.33
1181.23
2115.5(5
880.001
1586 67708.882
1269.33
29
3544.48
6348.33
1772.30
3174.17
1181.61
2116.11
880.291
1587.08
709.112
1269.67
30
3545.62
6350.00
1772.88
3175.00
1182.00
2110.67
883 . 577
1587.50
7'09.341
1270.00
31
3546.77
6351.67
1773.45
3175.83
1182.38
2117.22
880 804
1587.92
709.570
1270.33
32
3547.91
6353.33
1774.0:3
3176.67
1182.76
2117.78
887.150
1588.33
7'09.800
1270.07
33
8649.06
6355.00
1774.59
3177.50
1183.14
2118.33
887.437
1588.75
710.029
1271.00
34
3550.21
6356.67
1775.17
3178.33
1183.52
2118.8!)
887.723
1589.17
710.258
1271.33
35
3551.38
6358.33
1775.76
3179.17
1183.92
2119.44
888.017
158!). 58
710.493
1271.67
36
3552.55
6360.00
1776.34
3180.00
1184.31
2120. OU
888.311
1590.00
710.728
1272.00
37
3553.70
6361.67
1776.92
3180.83
1184.69
2120.56
888.597
1590.42
710.957
1272.33
38
3554.85
6363.33
1777.49
3181.67
1185.07
2121.11
888.884
1590.83
711.187
1272.07
39
3555.99
6365.00
1778.06
3182.50
1185.45
2121.67
889.170
1591.25
711.410
1273.00
40
3557.14
6366.67
1778.63
3183.33
1185.83
2122.22
889.457
1591.67
711.645
1273.33
41
3558.31
6368.33
1779.22
3184.17
1186 23
2122.78
889.751
1592.08
711.880
1273.07
42
3559.49
6370.00
1779.81
3185.00
1186.02
2123.33
890.044
1592.50
712.115
1274.00
43
3560.63
6371.67
1780.38
3185.83
1187.00
2123.89
890.331
1592.92
712.344
1274.33
44
3561.78
6373.33
1780.96
3186.67
1187.38
2124.44
<90.G17
1593 33 712.573
1274.07
45
3562.93
6375.00
1781.53
3187.50
1187.76
2125.00
890.904
1593.75 712.803
1275.00
46
3564.07
6376.67
1782.10
3188.33
1188.15
2125.56
891.190
1594. 17; 71 3. 032
1275.33
47
3565.25
6378.33
1782.69
3189.17
1188.54
2126.11
891.484
1594.58713.267
1275.67
48
3566.42
6380.00
1783.28
3190.00
1188.93
2126.C.7
891.778
1595.00 713.502
1276.00
49
3567.57
6381.67
1783.85
3190.83
118J.31
2127.22
892.064
1595. 42! 713. 731
1276.33
50
3568.71
6383.33
1784.42
3191.67
1189.69
2127 78
892.351
1595.83
713.960
1270.07
51
3569.86
6385.00
1781.99
3192.50
1190 08
2128.33
892.638
1596.25 714.190
1277.00
52
3571.00
6386.67
1785.57
3193.33
1190.46
2128.89
892.924
1596.67:714.419
1277.33
53
3572.18
6388.33
1786.15
3194.17
.190.85
2129.41
893.218
1597.08714.654
1277.07
54
3573.35
6390.00
1786.74
3195.00
1191.24
2130.00
893.511
597.50 714.889
1278.00
55
3574.50
6391.67
1787.32 3195.83
1191.62
2130.56
893.798
1597.92715.118
1278.33
56
8575.65
8393.88
1787.893196.67
1192.00
2131.11
894 085
1598.33715.347
1278.07
57
3576.79
6395.00
1788.46
3197.50
1192.39
2131.67
8!)4 371
1598.75:715.577
1279.00
58
3577.94
6396.67
1789 03
3198.33
1192.77
2132 22
894.658
1599. 17! 715. 806
1279.33
59
3579.11
6398.33
1789.62
3199.17
1193.16
2132! 78
894.951
1599. 58 171 6. 041 1279.67
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
63°
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
585.451
1050.001501.895
900.000
439.243,787.500
390 .519 700 . 000 351 . 557 630 . 000
O
585.642
1050. 28 1502. 059
900.238
439.386
787.708
390 646 700 . 1 85 351 . 672 630 . 1 67
1
585.832
1050.56 502.223
900.470
439.529
787.917
390 . 7 74 700 . 370 35 1 . 787 630 333
586.024
1050.83
502.387
900.71-
439.673
788.125
390.901
700.556351.901 630.500
3
586.215
1051 . 1 1
502.551
439.816
788.333
391.029
700. 741; 352. 01 6 630. 667
4
586.406 1051.39
502.7I4'901.190
439.960
788.542
391.150
700.926352.131 630.833
5
586.597 1051.67
502.878 901.429
440.103
788.750
391.284
701.111 352.246 631.000
6
586.7881051.94
503 042 901. 667
440.246
788.958
391.411
701.296352.360631.167
7
586.979 1052.22
503.206901.905
440.390
789.167
391.539
701. 481 1&52. 475 631. 333
8
587.170
1052.50
503.370
902.143
440.5:33789.375
391.660
701.667
352.590
631.500
9
587.361
1052.78
503.533
902.381
440.676789.583
391.794
701.852
352.705
631.667
1O
587.553:1053 06
503.697902.619
440.820789.792
391.921
702.037
352.819631.833
11
587.744 1053.33
503.861
902.857
440.963790.000
392 048
702.222
352.934632.000
13
587.939 1053:61
504.029
903.095
441.110790.208
392.179
702.407353.052 632.167
13
588.135 1053.S9
504.197
903.333
441.257
790.417
392.310
702.593353 169632.333
14
588.326
1054.17
504.361
903.571
441.400
790:625
392.437
702.778
353.284 632.f,00
15
588.517
1054.44
504.524
903.810
441.544
790.833
392.565
702.963
353.399632.667
16
588.7081054.72
504.688
904.048
441.687
791.042
392.692
703.148
353.513632.833
17
588.900 I055.ni
504.852
904. 28(
441.830
791.250
392.820
703.333
353.628633.000
18
589.091
1055.28
505.016
904.524
411.974
791.458
392.947
703 519
353.743
633.167
19
589.282
1055.56
505.180
904.762
442.117
791.667
393.074
703.704
353.858
633 333
2O
589.473
1055.83
505.343
905.000
442.260
791.875
393 202
703.889
353.972 633 500
21
589.664
1056 . 1 1
505.507
905.238
442.404
792.083
393.329
704 074
354.087
633.667
589.855
1056.39
505.671
905.476
442.547
792.292
393.457
704.259
354.202
633.833
23
590.046
1056.67
505.8:35
905.714
442. 69(
792.500
393.584
704 444
354.317
634.000
24
590.237
1056.94
505.999
905.952
442.834
792.708
393.712
704.630
354.431
634.167
25
590.428
1057 22
506.163
906.190
442.977
792.917
393.839
704.815
354.546
6:34.333
26
590.624
1057.50
506.330
906.429
443.124
793.125
393.970
705.000
351. (164
634.500
27
590.820
1057.78
506.498
906.667
443.271
793.333
394.100
705.185
354.781
634.667
28
591.011
1058.06
506.662
906.905
443.414
793.542
394.228
705.370
354.896
634.833
29
591.202
1058.33
5C6.826
907.143
443.558
793.750
394.355
705.556
355.011
635.000
30
591.393
1058.61
506.990
907.381
443.701
793.958
394.483
705.741
355.126
635.167
31
591.584
1058.89
507.15-i
907.619
443.844
794.167
394.610
705.926
355 240
635.333
32
591.775
1059.17
507.317
907.857
443.988
794.375
394.738
706.111
355.355
635.500
33
591 . 966
1059.44
507.481
908.095
444.131
794.583
394.865
706.296
355.470
635.667
34
592.162
1059.72
507.649
908.333
444.278
794.792
394.996
706.481
355.587
635 833
35
592.358 1060.00
507.817
908.571
444.425
795.000
395.126
706.667
355.705
636.000
36
592.549 1060.28
507. 9S1
908.810
444.568
795.208
395.254
706.852
355.820
636.167
37
592.740
1060.50
508.145
909. (-48
444.712
795.417
395.381
707.037
355.9:34
636.333
38
592.931
1060.83
508.308
909.286
444.855
795.625
395.509
707.222
356.049
636.500
39
593.122
1061.11
508.472
909.524
444.998
795.833
395.636
707.407
356.164
636.667
40
5U8.318
1061.39
508.640
909.76-.'
445 145
796.042
395.767
707.593
356.282
636.833
41
593.514
1061.67
508.808
910.000
445.292
796.250
395.898
707.778
356.399
637.000
42
593.705
1061.94
508.972
910.238
445.436
796.458
396.025
707.963
356.514
637.167
43
593.896
1062.22
509.136
910.476
445.579
796.667
396.152
708.148
356.629
637.833
44
594.087
106:2.50
509.299
910.714
445.722
796.875
396.280
"08.333
356.743
637.500
45
594.278
1062.78
509.463
910.952
445.866
797.083
396.407
"08.519
356 858
637.667
46
594.474
1063.06
509.631
911.190
446.013
797.292
396.538
"08.704
356.976
637.833
47
594.670
1063.33
509.799
911.429
446.160
797.500
396.669
"08.S89
357.093
638.000
48
594.861
1063.61
509.963
911.887
446.303
797.708
396.796
"09.074
357.Ji08
638.167
49
595.052
1063.89
510.127
911.905
416.446
797.917
396.924
'09.259
357.323
638.333
5O
595.243
1064.17
510.290
912.143
446.590
798.125
397.051
"09.444
357.438
638.500
51
595 434
1064.44
510.454
912.381
446.733
798.333
397.178
"09.630
357. flf*
i38.G67
52
595.630
1084.72
510.622
912.619
446.880
798.542
397.309
"09.815
357.670638.833
53
595.826
1065.00
510.790
912.857
447.027
798. 7'50
397.440
"10.000
357. 7>7 639 000
54
596.017
1065.28
510.954
913.095
447.170
798.958
397.567
"10.185
357.902639.167
55
596.208
1065.56
511.118
913.333
447.314
799.167
397.695
"10.370
358.017639.333
56
596 399
1065.83
511.281
913.571
447.457
799.375
307.822
"10.556
358.132639.500
57
596.590
1066.11
511.445
913.810
4(7.600
799.583
397.950
-"10.741
358.246639 667
58
596.786
1066.39
511.613
914.048
447.747
1*99 792
398.080
"10.926
358.364639.833
59
173
TABLE XIV. — ACTUAL TANGENTS, ETC.
64°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
^7
Tan.
Arc.
Tan.
Arc.
Tan.
1193.55
Arc.
2133733
Tan.
Arc.
Tan.
Arc.
o
3580.29
6400.00
1790.21
3200.00
895.245
1600.00
716.276
1280.00
i
8581.43
6401.67
1790.78
3200.83
1193.93
2133.8'J8J)5.532
1600.42
716.505
1280.33
3
3582.58
6403 33
1791.35
3201.67
1194.32
2134.44895.818
1600.83
716.734
1280. (57
3
3583.75
6405.00
1791.94
3202.50
1194.71
2135.00896.112
1601.25
716.969
1281.00
4
3584.93
6406.67
1792.53
3203.33
1195.10
2135.56896.405
1601.67
717.204
1281.33
5
3586. OT
6408.33
1793.10
3204.17
1195.48
2136.11
896.692
1602.08
717.434
1281.67
6
3587.22
6410.00
1793.6!^
3205.0D
1195.86
2136.67
896.979
1602.50
717.663
1282.00
7
3588.39
6411.67
1794.26
3205.83
1196 25
2137.22
897.272
1602.92
717.898
1282.33
8
3589.5?
6413.33
1794.85
3206.67
1196.65
2137.78897.566
16d3.33
718.133
1*82.67
9
3590.71
6415.00
1795.4-2
3207 50
1197.03
2138.33
897.852
1603.75
718.362
1283.00
1O
11
3591.86
3593.03
6416.67
6418.33
1796.00
1796.58
3208.33
3209.17
1197.41
1197.80
213S.89
2139.44
898.139
898.433
1604.17
1604.58
718.591
7 IS. 82(5
1283.33
1283.67
13
3594.21
6420.00
1797.17
3210.00
1198.19
2140.00
898.726
1605.00
7 19.. 061
1284.00
13
3595.36
6421.67
1797.74
3210.83
1198.58
2140.56
899.013
1605.42
719.291
1284.33
14
3596.50
6423.33
1798.32
3211.67
119S.96
2141.11
899.300
1605.83
719.520
1284.67
15
3597.68
6425.00
179S.90
3212.50
1199.35
2141.67
899.593
1606.25
719.755
1285.00
16
3598.85
6426.67
1799.49
3213.33
1199.74
2142.22
899.887
1606.67
719.990
1285 33
17
3600.03
6428 33
1800.08
3214.17
1200.13
2142.78
900.181
1607.08
720.225
1285.67
18
3601.20
6430.00
1800.67
3215.00
1200.52
2143.33
900.474
1607.50
720.460
1286.00
19
3602.35
6431.67
1801.24
3215.83
1200.91
2143.89
900.761
1607.92
720.689
1286.33
2O
3603.49
6433.33
1801.81
3216.67
1201.29
2144.44
901.047
1608.33
720.918
1286.67
31
3604.07
6435.00
1802.40
3217.50
1201.68
2145.00
901.341
1608.75
721.153
1287.00
22
3(505.84
6436.67
1802.99
3218.33
1202.07
2145 53
901.635
1609.17
721 .388
1287.33
23
3606.99
6438.33
1803.56
3219.17
1202.45
2146.11
901.921
1609.5S
721.618
1287.67
24
3608.13
6440.00
1804.13
3220. OJ
1202.83
2146.67
902.208
1610.00
721.847
1288.00
25
3609.31
6441 . 67
1801.72
3220.85
1203.23
2147.22
9">2.502
1H10.42
722.082
1288.33
26
3610.48
6443.33
1805.31
3221.67
1203.62
2147.78
902.795
1610.83
722.31?
1288.67
21
3611.66
6445.00
1805.89
3222.50
1204.01
2148.33
903.089
1611 25
722.552
1289.00
28
3612.83
6446.67
1806.48
3223.33
1204.40
2148.89
903.383
1611.67
722.78?
1289.33
29
3613.98
6448.33
1807.05
3224.17
1204.78
2149.44
903.669
1612.08
723.016
1289.67
30
3615.12
6450.00
1807.63
3225.00
1205.16
2150.00
903.956
1612.50
723.245
1290.00
31
3616.30
6451.67
1808.2!
3225.83
1205 56
2150.56
904.249
1612.92
723.480
1290.33
32
3617.47
6453.33
1808.80
3226.67
1205.95
2151.11
904 543
1613.33
723.715
1290.67
33
3618.65
6455.00
1809.39
3227.50
1206.34
2151.67
904.837
1613.75
723.950
1291.00
34
3619.82
(5456.67
1809.9S
3228.33
1206.73
2152.22
905.131
1614.17
724.185
1291.33
35
36-20.97
6458.33
1810.55
3229.17
1207.11
2152.78
905.417
1614.58
724.415
1291.67
36
3622.11
6460.00
1811.12
3230.00
1207.50
2153.33
905.704
1615.00
724.644
1292.00
37
3623 29
6461.67
1811.71
3230.83
1207.89
2153.89
905.997
1615.42
724.879
1292.33
38
3621.46
6463.33
1812.30
3231.67
1208.28
2154.44
906.291
1615.83
725.114
1292.67
39
3625.64
6465.00
1812.88
3232.50
1208.6?
2155.00
90,3.585
1616.25
725.349
1293.00
4O
3626.81
6466.67
1813.47
3233.33
1209.06
2155.56
906.878
1616.67
725.584
1293.33
41
3627.99
6468.33
1814.06
3234.17
1209.45
2156.11
907.172
1617.08
725.819
1293.67
43
3629.16
6470.00
1814.65
3235.00
1209.84
2156.67
907.466
1617.50
726.054
1294.00
43
3630.31
6471.67
1815,22
3235.83
1210.23
2157.22
907.752
1617.92
726.283
1294.33
44
3631.45
6473.33
1815.79
3236.67
1210.61
2157.78
908.039
1618.33
726.512
1294.67
45
3632.63
6475.00
1816.38
3237.50
1211.00
2158.33
908.333
1618.75
726.747
1295.00
46
3633.80
6476.67
1816.97
3238.33
1211.39
2158.89
908.626
1619.17
726.982
1295.33
47
3634.98
6478.33
1817.55
3. '39. 17
1211.78
2159.44
908.920
1619.58
727.217
1295.67
48
3636.15
6480.00
1818.14
3240.00
'212 17
2160.00
909.214
1620.00
727.452
1296.00
49
3637.33
6481.67
1818.73
3240.83
1212.57
2160.56
909.507
1620.42
727.687
1296. 33
50
3638.50
6483 33
1819.32
3241 67
1212.96
8ttl.11
909.801
1620.83
727.922
1296.67
51
3639.67
6485.00
1819.90
3242.50
1213.35
2161.67
910.095
1621.25
728.157
1297.00
53
3640.85
6486 67
1820.49
3243.33
1213.71
2162.22
910. 3S9
1621.67
728.392
1297.33
53
3641.99
6488.33
1821.06
3244.17
1214.12
2162.78
910.675
1622.08
728.621
1297.67
54
3643.14
6490.00
1821.64
3245.00
1214.51
21 a<*. 83
910.962
1622.50
728.851
1298.00
55
3644.32
6491.67
1822.22
3245.83
1214.90
2163.89911.255
1622.92
729.086
1298.33
56
3645.49
6493 33
1822.81
3246.67
1215 29
2164.44 911.549
1623.33
729.321
1298.67
57
3646.66
6495.00
1823.40
3247.50
1215.68
21 65.00! 91 1.843
1623.75
729.556
1299 00
58
3647.84
6496.67
1823.99
3248.33
1216.07
2165.56912.136
1624.1?
729 791
1299.33
59
3649. Olj 6498. 33
1824.57
3249.1?
1216. 4612166. 11:912. 430
1624.58
730.026
1299.67
174
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Cnrve.
1O° Curve.
64°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
596.982
1066.67
511.781 9H.28C)
447.894
800.000398.211
711.111
358.482
640.000
0
597.173
1066.94
511.945914.524
448.038
800.208398.338
711.296
358.596
640.167
1
597.364
1067.22
512.109914.762
448.181
800.417398.466
711.481
358.711
640.333
3
597.560
1067.50
512.276915.000
448.328
800. 625 '398 596
711.667
358.829
640.500
3
597.756
1067.78
512.444
915. 23H
448.475
800. 833 '398. 727
711.852
358.946
640.667
4
597.94;
1068.06
512.608
915.476
448.618
801.042
398.854
712.037
359.061
640.833
5
598.138
1068 .33
512.772
915.714
448.762
801.250
39S.982
712.222
359.176
641.000
6
598.334
1068.61
512.940
915 952
448.909
801.458
399.113
712.407
359.293
641.167
7
598.530
1068.89
513.108
916.190
449.055
801.667
399 . 243
712.593
359.411
641.333
8
598.721
1069.17
513.272
916.429
449.199
801.875
399.371 712.778
359.526
641.500
9
598.912
1069.44
513.435
916.667
449.342
802.083
399.498712.963
359.640
641.667
1O
599.108
1069.72
513.603
916.905
449.489802.292
399.629713.148
359.758
641.833
11
599.304
1070.00
513.771
917.143
449 636802.500
399.759713.333
•359 876
642.000
13
599.495
1070.28
513.935
917.381
449.779802.708
399.887713.519
359.990
642.167
13
599.686
1070.56
514.099
917.619
449.923802.917
400.014713.704
300.105
642.333
14
599.882
1070. as
514.267
917.85?
450. 07 0803." 125
400.145713.889
360.223
642.500
15
000.077
1071.11
514.435
918.095
450.217803.333
400.27'6714.074
360.340
642.667
16
600.273
1071.39
514.603
918.333
450.364803.542
400.406714.259
360.458
642.833
17
600.469
1071.67
514.770
918.571
450.511 803.750
400.537714.444
360.576
643.000
18
600.660
1071.94
514.934
918.810
450.654
803.958
400.664
714.630
360.690
643.167
19
600.851
1072.2v
515.098
919.048
450 797
804.167
400.792
714.815
360.805
643.333
30
601.047
1072.50
515.266
919.286
450.944
804.375
400.922
715.000
360 923
643.500
31
601.243
1072.78
515 434
919.524
451.091
804.583
401.053
715.185
361.040
643.667
33
601.434
1073.06
515.598
919.762
451.234
804.792
401.181
715.370
361.155
643.833
33
601.625
1073.33
515.761
920.000
451 378
805.000
401.308
715.556
361.270
644.000
34
601.821
1073.61
515.929
920.238
451.525
805 208
401.439
715.741
361.387
644.167
35
602.017
1073.89
516.097
920.476
451.672
805.417
401.569
715.926
361.505
644.333
36
602.213
1074.17
516.265
920.714
451.819
805.625
401.700
716.111
361.623
644.500
37
602.408
1074.44
516.433
920.952
451.966
805.833
401.831
716.296
361.740
644.667
38
602.600
1074.72
516.597
921 190
452.109
806.042
401.958
716.481
361.855
644.833
39
602.791
1075.00
516.761
921.429
452.252
806.250
402.085
716.667
361.970
645.000
3O
602.987
1075.28
516.929
921.607
452.399
806.458
402.216
716.852
362.087
645.167
31
603.182
1075.56
517.096
921 905
452.546
806.667
402.347
71 \037
362.205
645.333
33
603.378
1075.83
517.264
922.143
452.693
806.875
402.477
7r.222
362.322
645.500
33
603.574
1076.11
517.43V1
922.381
452.840
807.083
402. 60H
7r.407
362.440
645.067
34
603.765
1076.39
517.596
922.619
452.983
807.292
402.735
7r.593
362.555
645.833
35
603.956
1076.67
517.700
922.857
453.127
807.500
402.863
717.778
362.670
646.000
36
604.152
1076.94
517.928
923.095
453.274
807.708
402.994
717.963
362.787
646.167
37
604.348
1077.22
518.096
923.333
453.421
807.917
403.124
718.148
362.905
646.333
38
604.544
1077.50
518.264
923.571
453.568
808.125
4U3.255
718.333
363.022
646.500
39
604.740
1077.78
518.431
923.810
453.715
808 333
403.385
718.519
363.140
646.667
4O
604.935
1078.06
518.599
924.048
453.861
808.542
403.516
718 704
363.258
646.833
41
605.131
1078.33
518.767
924.280
454.008
808.750
403.647
718.889
363.375
647.000
43
605.322
1078.61
518.931
924.524
454.152
808.958
403.774
719.074
363.490
647.167
43
605.513
1078 89
519.095
924.762
454.295
809.167
403.902
719.259
363.605
647.333
44
605.709
1079.17
519.263
925.000
454.442
809 375
404.032
719.444
363.722
647.500
45
605.905
1079.44
519.431
925.238
454.589
809.583
404.163
719.630
363.840
647.667
46
606.101
1079.72
519 599
925.476
454.736
809.792
404.294
719.815
•3G3.957
647.833
47
606.297
1080.00
519.766
925.714
454.883
810.000
404.424
720.000
364.075
648.000
48
606.493
1080.28
519.934
925.952
455.030
810.208
404.555
720.185
364.193
648.167
49
|
606.689
1080.56
520.102926.190
455.177
810 417
404.686
720.370
-564.310
648.333
5O
606.884
1080.83
520.270926.429
455.324
810.625
404.816
720.556
364.428
648 500
51
607.080
1081.11
520.438926.667
455.471
810.833
404.947
720 741
364.546
648.607
53
607.271
1081.39
520. 602 '926. 905
455.614
811.042
405.074
720.926
364.660
648.833
53
607.462
1081.67
520.766
927.143
455.757
811.250
405.202
721.111
364.775
649.00(
54
607.658
1081.9)
520.934
927.381
455.904
811.458
405.332
721.296
364.893
649 107
55
607.854
1082.2-,'
521.101
927.619
456.05!
811.007
405.463
721.481
305.010
049.333
56
608.050
1082.50
521.269
927.857
456.198
811.875
405.594
721.667
365.128
649 500
57
608.246
1082.78
521.437
928.095
456.345
812.083
405.724
721.852
365.245
649.667
58
608.442
1083.06
521.605
928.333
456.492
812.29.'
405.855
722. 037
365.363 649.833
59
175
TABLE XIV. — ACTUAL TANGENTS, ETC.
65°
1° Carve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
IST
~~o
Tittt.
3~050~l9
Arc.
Tan.
A re.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
6500.03
1825.163250.00
1216.85
2160.67
912.724
1625.00
730.261
1300.00
i
8051.8(3
0501 . 67
18^5.75'3250.H3
1217.25
2307.22
913.018:1025.42
730.496
1300.33
2
805:3.54
05U3 . 33
1826. 34 '325 1.07
1217.64
2107.78
913.311 1025.83
730. 731 i 1300. 67
3
305:3.71
0505.00
1826.923252 50
1218.03
2168.33
913.005 1020.25
730.966
1301.00
4
3054.89
6500 07
1827.51 3253.33
1218.42
2168.89
913.899 1020.07
731.201
1301.33
5
3056.06
6508.33
1828.10
3254.17
1218.81
2169.44
914.192 1027.08
731.436
1301.67
6
3057.24
6510.00
1828.68
3255.00
1219.20
2170.00
914.480 1027.50
731.671
1302.00
7
3058.41
6511.67
1829.27
3255.83
1219.00
2 70.56
914.780
1027.92
731.906
1302.33
8
3059.58
6513 33
1829.86
3256.67
1219.99
2 71.11
915.073
1028.33
732.140
1302.67
9
3060.76
6515.00
1830.45
3257.50
1220.38
2 71.67
915.307
1628.75
732.375
1303.0J
1O
3661.93
6516.67
1831.03
3258.33
1220.77
2 72.22
915.661
1629.17
732.010
1303 33
11
3603.11
6518.33
1831.62
3259.17
1221.16
2 72.78
915.955
1629.58
7'32.845
1303 07
12
3664.28
6520.00
1832.21
3200.00
1221.55
2 73.33
916.248
1030.00
733.080
130400
13
3605.40
6521.67
1832.80
3260.83
1221.95
2 73.89
916.542
1030.42
733.315
1304.33
14
3000.63
6523.33
1833.38
3261.67
1222.31
2 74.44
916.830
1030.83
733.530
1304.67
15
3007.81
6525.00
1833.97
3262.50
1222.73
2 75.00
917.129
1031.25
7'33.785
1305.00
16
3668.98
6526.67
1834.50
3263.33
1223.12
2 75.56
917. 423| 1031. 07
734.020
1305.33
17
3670.16
6528.33
1835.15
3264.17
1223.51
2176.11
817.717
1032 08
734.255
1305.6?
18
3671.33
6530.00
1835.73
3265.00
1223.90
2176.67
918.010
1632.50
734.490
1306.00
19
3672.51
6531.67
1830.32
3265.83
1224.29
2177.22
918.304
1632.92
734.725
1306.33
20
3673.68
6533.33
1836.91
3268.67
1224.69
2177.78
918.598
1033.33
734.960
1306.67
21
3674.85
6535.00
18:57.49
3267.50
1225.08
2178.33
918.892
1033.75
735.195
1307.00
22
3676.03
6530.6;
1838.08
3268.33
1225.47
2178.89
919.185
1034. n
735.430
1307.33
23
3677.20
6538.33
1838/07
3209.17
12-25.80
2179.44
919.479
1034.58
735.005
1307.67
24
3678.38
0540.00
1839 20
327'0.00
1220.25
2180.00
919.773
1035.00
735.900
1308 00
25
3679.55
6541.67
1839.84
3270.83
1220 64
2180.56
920.000
1035.42
730.135
1308.33
26
1880.73
0543.33
1840.43
3271.07
1227.01
2181.11
920.360
1035.83
730.370
1308.67
27
3081.90
6545.00
1841.02
3272.50
1227.43
2181.07
920 654
1030.25
730 005
1309.00
28
3683.08
6546.67
1841.61
3273.33
1227.82
21M2.22
920.947
1630.07
730.840
1309.33
29
3081.25
6548.33
1842.19
3274.17
1228.21
2182.78
921.241
1037.08
737.075
1309.67
3O
3685.43
6550.00
1842.78
3275.00
1228.60
2183.33
921.535
1037.50
737.310
1310.00
31
36,%.0'J
0551 . 67
18J3.37
3275.83
1228.9'.)
21S3.S9
921.829
1037 92
737.545
1310.33
3 2
3087.77
6553.33
1843.95
3276.67
1229.3S
2184.44
922.122
1038.33
737.780
1310.67
33
3088.95
0555.00
1844.54
3-277.50
1229.78
2185.00
922.410
1038.75
738.015
1311.00
34
3090.12
0550.67
1845.13
3278.33
1230.17
2 1 85 . 56
922.710
1639.17
738.250
1311.33
35
3091.3'}
6558.33
1845.73
3-279.17
1230.57
2180.11
923.011
1639.58
738.491
1311.67
36
9602.58
0560.00
1846.33
328J 00
1230.01
2180.07
923.311
1040.00
738.732
1312.00
37
3693.70
6561.67
1846.92
3280.83
1231.36
2187.22
923.005
1640.42
738.907
1312.33
38
3094.88
6503.33
1847.51
3281.67
1231.75
2187.78
923.899
1640.83
739.202
1312.67
39
3696.05
0565.00
1848.09
3282.50
1232.14
2188.33
924.193
1641.25
739.437
1313.00
40
3697.23
6566.67
1848.68
3283.33
1232.54
2188.89
924.486
1641.67
739.672
1313.33
41
3688.40
6508.33
1849.27
3284.17
1232.93
2189.44
924 . 780
1642.08
739.907
1313.67
42
3699.58
6570.00
1849.86
3285.00
1233.32
2190 00
925.074
1642 50
740.142
1314.00
43
3700.75
6571.67
1850.44
3285.83
1233.71
2190.56
925.307
1642.92
740.377
1314.33
44
3701 93
6573.33
1851.03
3286.07
1234.10
2191.11
925.661
1643.33
740.012
1314.67
45
3703.13
6575.00
1851.63
3287.50
1234.50
2191.67
925.962
1643.75
740.852
1315.00
46
3704.33
0570.67
1852.23
3288 33
1234 90
2 192.2 J
926.263
1644.17
741.093
1315.33
47
3705.51
6578.3:;
1852.823289.17
1235.30
2192 78
926.556
1644.58
741.328
1315.67
48
8706.68
6580.00
1853.41 3290.00
1235.69
2193.33
926.850
1645.00
741.563
1316.00
49
3707.80
6581.07
1854.00
3290.83
1236.08
2193 89
927.144
1645.42
741.798
1316.33
5O
3709.03
6583.33
1854.58
3291.67
1236.47
2194.44
927.438
1645.83
742.033
1316 67
51
3710.21
6585.00
1855.17
3292.50
1230.80
2195.00
927.731
1646.25
742. 208 11317. 00
52
3711.38
6586.67
1855.76
3293.33
1237.25
2195.56
928.025 1646.07
742. 503 '13 17. 33
53
3712.58
6588.33
1856.36
3294 17
1237.66
2196.11
928.320:1047.08
742.744
1317.07
54
3713 79
6590.00
1856.96
3295.00
1238.00
2196.67
928. 027 i 1047. 50
742.984
1318.00
55
3714.96
6591.67
1857.55
3295.83 1238.45
2197.22
928. 920 '104 7. 92
743.219
1318.33
56
3716.14
6593.33
1858.14
3296. 67 ! 1238. 84
3197.78
929.214 1648.33
743.4.=v4
1318.07
57
3717.31
6595.00
1858.72
3297. 50 11239. 23 21 98. 33
929.508 1048''. 75
7 43.089
1319.00
58
3718.49
6596.67
1859.31
3298.33 12:i9.622l98.8J)
929.80111049.17
743.924
1319.33
59
3719.69
6598.33
1859.91
3299.17 1240. 0212199.44
9:>,0. 102 1049.58
744.105
1319.07
176
TABLE XTV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° C
Tan.
urve.
65°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Arc.
M.
608. 638; 1083. 33
521.773
928.571
456 639
812.500
405.986722.222365.481
650.000
~O~
608.833 1083.61
521.941
928.810456.786812.708
406. 116 722. 40? J365. 598
050.167
1
609.059 1083.89
522.109
929.048456.933
812.917
406.247722.593365.716
050.333
2
609.225 1084.1?
522.277
929.286457.080
813.125
406.377
722.778
365.833
650.500
3
609.421
1084.44
522.445
929.524457.227
813.333
406.508
722.963
365.951
650.667
4
609.617
1084.72
522.613
929.762457.374
813.542
406.639723.148
366.069
650.833
5
609.813
1085.00
522.780
930.000457.521
813.750
406.769
7*43.838
366.186
651.000
6
610.008
1085.28
522.948
930.238
457.668
813.958
406.900
723.519
366.304
651 . 167
610.204
1085.56
.123.116
930.476
457.815
814.167
407.031
723.704
366.421
651.333
8
610.400
1085.83
523.284
930.714
457.961
814.375
407.161
723.889
366.539
651.500
9
610.596
1086.11
523.452
930.952
458.108
814.588
407.292
724.074
366.65?
651.66?
10
610.792
1086.39
523. 620
931.190
458.255
814.792
407.423
724.259
366.774
651.833
11
610.988
1086.67
523.788
931.429
458.402
815.000
407.553
724.444
366.892
652.000
12
611.184
1086.94
523.956
931.66?
458.549
815.208
407.684
724.630
367.010
652.16?
13
611.379
1087.22
524.124
931.905
458.696
815.417
407.815
724.815
367.127
652.333
14
611.575
1087.50
524.292
932.143
458.843
815.625
407.945
725.000
367.245
652.500
15
811. 771 11087. 78
524.459
932.381
458.990
815.833
408 076
725.185
367.362
652.667
16
611.96? 1088.06
524.627
932.619
459.13?
816.042
408.206
725.370
367.480
652.833
17
612.16oild88.33
524.795
932.857
459.284
816.250
408.337
725.556
367.598
653.000
18
612.359
1088.61
524 . 963
933.095
459.431
816.458
408.468
725.741
367.715
653.167
19
612.555
1088.89
525.131
933.333
459.578
816.66?
408.598
725.926
367.833
653.333
2O
612.750
1089.17
525.299
933.571
459.725
816.875
408.729
726.111
367.950
653.500
21
612.940
1089.44
525.46?
933.810
459.872
817.083
408.860
726.296
368.068
653.667
22
613. 142
1089.72
525.635
934.048
460 019
817.292
408 990
726.481
368.186
653.833
23
613.338
1090.00
525.803
934.286
460.166
817.500
409.121
7*6.667
368.303
654.000
24
613.534
1090.28
525.970
934.524
460.312
817.7'08
409.252
726.852
368.421
654.167
25
613.730
1090.50
526. 138
1)34.762
460.459
817.917
409.382
727.037
368.538
654.333
2G
613.925
1090.83
526. 300
935.000
460.606
818.125
409.513
727.222
368.656
654.500
27
614.121
1091.11
526.474
935.238
460.753
818.333
409.643
727.407
368.77'4
654 . 66?
28
614.317
1091.39
526.642
935.476
460.900
818.542
409.774
727.593
368.891
654.833
29
614.513
1091 67
526.810
935.714
461.047
818.750
109.905
727.778
369.009
655.000
30
614.709
1091.94
526.978
935.952
461.194
818.958
410.035
727.963
369.126
655.16?
31
614.905
1092.22
527.140
1)30.190
461.341
819.167
410.160
728.148
369.244
655.333
32
615.101
1092.50
527.314
936.429
461.488
819.375
410.297
728.333
369 362
655.500
33
615.290
1092.78
527.482
936.667
461.635
819.583
410.42?
728.519
369.479
655.667
34
(515.497
1093 06
527.654
936.905
461.785
819.792
410.561
728.704
369.600
655.833
35
015.0'.)HH>93.33
527.826
1)37.143
461.936
820.000
410.695
728.889
369.720
656.000
36
015 <S!)4
1093.61
527.993
937.381
462.083
820.208
410.826
729.07'4
369.838
656.16V
37
616.089
1093.89
528.161
937.619
462.230
820.417
1 10. 956
729.259
369.955
656.333
38
616.285
1094.17
528.329
937.85?
462.377
820.625
'411.08?
729.444
370.073
656.500
39
616.481
1094.44
528.497
938.095
462.524
820.833
411.218
729.630
370.191
656.667
40
616.677
1094.72
528.665
938.333
462.671
821.042
411.348
729.815
370. 80S
656.833
41
616.873
1095.00
528.833
938.571
462.818
821.250
411.479
730.000
370.426
657.000
42
617.069
1095.28
529.001
938.810
462.965
821.458
411.609
730.185
370.543
657.167
43
617.265
1095.56
529.169
939.048
463.112
821.667
411.740
7; 0.370
370.661
657.333
44
617.465
1095.83
529.341
939.286
463.262
821.875
411.874
730.556
370.782
657.500
45
617.660
109(5.11
529.513
939.524
463.413
822.083
412.008
730.741
370.902
657.667
46
617.862
1096.39
529.681
939.762
463.559
822.292
412.138
730.926
371.020
657.833
47
618.057
1096.6?
529.849
940.000
463.70*1
822-. 500
412.269
731.111
371 13?
658.000
48
618.253
1096.94
530.016
940.238
463.853
822.708
412.400
731.296
371.255
658.107
49
618.449
1097.22
530.184
940.476
464.000
822.91?
412.580
731.481
371.372
658.333
50
618.645
1097.50
530.352
940.714
464.14?
823.125
412 661 731.66?
371.490658.500
51
618.841
1097.78
530.520
940.952
464-294
823.333
412.792:731.852
371. 608 J658.66?
52
619.041
1098.06
530.692
941.190
464 445
823.542
412.925 7'32.037
371.728
658.833
53
619.242
1098.33
530.864
941.429
464.595
823.75'
413.059732.222
371.849
659.000
54
619.438
1098.61
531.032
941.667
464.742
823. 95S
413.190732.407
371.966
659.167
55
619.634
1098.89
531.200
941 905
464 889
824.167
413.321 732.593
372.081
059.333
56
619.830
1099.1?
531.36H
942.143
465.036
824.375
413.451
732.778
372.201
059.500
57
620.026
1099.44
531.536
942.381
465.183
824 5S3
413.582
732.963
372.319
659.667
58
620.226
1099.72
531.708
942.619
465.334
824.792
413.716
733.148
372.439
659.833
59
177
TABLE XIV. — ACTUAL TANGENTS, ETC.
63°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
3720.89 0000. OU 1800.51
3300.00
1240.43
2200 . 00
930.403 1650.00
744.400 1320.00
1
3722.076601.07 1801.10
3300.83
1240.82
2200 . 50
930. 097 | 1050. 42
744. 641 '1320.33
2
3723.240003.33 1801.09
3301.07
1241.21
2201 . 1 1
930.991 1650.83
744.876 1320.07
3
3724 . 44 0005 . 00 ' 1 802 .29
3302.50
1241.0
2201 07 931.291
1051.25
745.110 1321.00
4
3725. 05 0000.07 [1802. 89
3303. 3 i
1242.01
2202.22931.592
1051 07
745.3571321.33
5
3720.820008.331803.48
3304.17
1242.40
2202 781931.880
1052.08
745.592 1321.07
6
3728.000010.00 1804.07
3305.00
1242.79
2203.3393-2.180
1052.50
745.8271322.00
7
3729.17 0011.07 1804.05
3305 . 83
1243.19
2203.89
932.473
1652.92
746 062 1322.33
8
3; 30. 3o GO 13. 33 1805.24
3300.07
1243.58
2-204.44
932.707
1053.33
746.2971322.67
9
3731.55
6615.00
1865.84
3307.50
1243.98
2205.00
933.008
1653.75
740.538 1323.00
1O
3732.75
6616.67
1866.44
3308.33
1244.38
•£205.50
933.309
1654 17
74G.77'S1323.33
I i
3733.93 0018.33 1807.03
3309.17
1244.77
2206.11
933. 003 |1054. 58
747.013 1323.67
12
3735.100020.00,1807.02
3310.00
124;;.lti 2200.07
933.950 1055.00
747.2481324.00
13
3730.30
0621.67 1868.22
3310.83
1245.50 2207.22
934.257 1055.42
747 489! 1324. 33
14
3737.51
6623.33 1808.82
3311.07
1245.90 2207.78
934.5581055.83
747.7301324.67
15
3738.08
0025 00
1869.41
3312.50
1240.3(52208.33
934.852 1050.25
747.96511325.00
16
3739.80
002(5.07
1870.00
3313.33
1240.752208.89
935.145 1650.07
748.200:1325.33
17
3741.00
0028.33
1870.60
3314.17
1247.15 2209.44
935.446 1057.08
748.441 1325.67
18
3742.2(5
0030.00
1871.20
3315.00
1247.55 2210.00
935.747,1657.50
748.681
1320.00
19
3743.44
(5031.07
1871.79
3315.83
1247 942210.56
936. 041 ^057. 92
748.916
1320.33
20
3744.01
0633 33
1872.38
3316.67
1248 332211.11
930.335
1658.33
749.151
1326 67
21
3745.82
0035 00
1872.9S
3317.50
1248.732211.67
930.035 165S.75
749.392
1327.00
22
3747.02
0030 (57
1873.58
3318 33
1249.142212.22
936.930 1059.17
749.633
1327.33
23
3748.19
0038.33
1874.17
3319.17
1249.532212.78
937.230 1059.58
749.868
1327 67
24
3749.37
0040.00
1874.75
3320.00
1249.922213.33
937.524
1600.00
750.103 1328.00
25
3750.57
0041.07
1875.35
3320.83
1250.3-2 2213 89
937.825
1060.4-2
750.343 1328.33
26
3751.77
0043.33
1875.90
3321.07
1250.722214.44
938.125
1000.83
750.584
1328.67
27
3752.95
0045.00
1876.54
3322.50
1251.11 2215.00
938.419
1001.25
750.819
1329.00
28
3754.12
0040.07
1877.13
3323.33
1251.502215.50
938.713
1001.07
751.054
1329.33
29
3755.33
0048.33
1877.73
3324.17
1251.90
2216.11
939.014
1002.08
751.295
1329.07
30
3756.53
0650.00
1878.33
3325.00
1252.31
2216.67
939.315
1662.50
751.536
1330.00
3i
3757.71
0051 . 07
1878.92
3325.83
1252 70:2217.22
939. 60S
1062.92
751.771 1330.33
32
3758.88
(5053 33
1879.51
3326.67
1253.09 2217.78
939.902
1663.33
752. 000 ! 1330. 07
33
3700 08
(5055.00
1880.11
3327.50
1253.49 2218.33
940.203
1003.75
752.240 1331.00
34
3761.29
0050.67
1880.71
3328.33
1253.892218.89
940.504
1004.17
752 487 1331.33
35
3702.49
0058.33
1881.31
3329.17
1254.29-J219.44
940.805
1604.58
752.728
1331.67
36
3703.09
6000.00
1881.92
3330.00
1251.092220.00
941.105
1065 00
752.968
1332 00
37
3704 87
(5001.07
18S2.50
33:30.83
12.-)5.08
2220.56
941.399
1005.42
753.203
1332.33
38
3700.04
0003.33
1883.09
3331.67
1255.482221.11
941.693
1005.83
753 438
1332.67
39
3767.24
0005.00
1883.69
3332.50
1255.882221.07
941.994
1060.25
753.679
1333.00
4O
3768.45
6006.67
1884.29
3333.33
1256.28
2222.22
942.295
1666.67
753.920
1333.33
41
3769.65
6668.33
1884.89
3334 .17
1256.68
2222.78
942.595
1007. OS
754.161
1333.07
42
43
3770.85
3772.03
0070.00
6071.67
1885.50
1886 OS
3335.00
3335.83
1 257. 08 j 2223. 33
1257.472223.89
942.896
943.190
1007.50
1067.92
754.401
754.636
1334 00
1331.33
44
3773.20
(5673.33
1880.67
3330 07
1257.86
2224.44
913.484
1008.33
754.871
1334 67
45
3774.41
6675.00
1887.27
3337.50
1258 27
2225.00
943.785
1008.75
755.112 1335.00
46
3775.61
0676.67
18S7.S7
3338.33
1258.67
2225.50
944.085
16(59.17
755. 353 ;1335. 33
47
3776.81
6078.83
1888 4s
3339.17
1259.07
2226.11
944.386
1009.58
755.5931335.07
48
3778.02
0080.00
1889.08
3340.00
1259.47
2226.67
944.687
1670.00
755.834 1336.00
49
3779.22
0681.67
1889.0"
3340.83
1259.87
2227.22
944.988
1070.42
750.075 1336.33
5O
3780.42
6683.33
1890.28
3341.67
1260.27
2227.78
945.289
1670.83
756.316 1336 67
51
3781.00
0685.00
1890.87
3342.50
1200.60
2-228.33
915.583
1(571.25
756 551! 1337. 00
52
3782 77
6686.67
1891.40
3343.33
12(51.05
2228.89
945.870
1071.07
756.780 1337.33
53
3783.98
6088 33
1892.00
3314.17
1261.46
2-229.44
940.177
1072. OS
757.026 1337.67
54
3785.18
(5090.00
1892.06
3345.00
1261.80l2-J30.00
946.478
1672.50
757.267 1338.00
55
3786 38
0091.07
1S93.20
3345.83
1202.20 2230.56
946.779
1072.92 757.508 1338.:- 3
56
3787.59
0693 33
1893.80
3346.67
1202.0(5:2231.11
947.080
1073.33:757.748 3.^8.07
57
3788.79
6695.00
1894.40
3347.50
1203. 06! 2231. 07
947.381
1073 7T)!757.9S9 1339.00
58
3789.99
(5096 67
1895.07
3348.33
1263.40
2232.22
947.681
1074. 17^58. 230 1339.33
59
3791.19
6098.33
1895.67
3349.17
1203.802232.78
947.982 1674.58 758.471 1339.07
178
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
66°
Tau.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
6:20.4:27
1100.00
531.880j942.857
465.484
825.000413 849733.333
372.560
660.000
O
620 . 623 1 1 00 . 28 532 .048 943 . 095
465.631
825.208413.980
733.519
372.678
660.167
1
620.818 1100.56
532.2161943.333
465.778
825.417414.111
733.704
372.795
660.333
2
621. 019 1100.83
532.388
943.571
465.928
825.625414.245
733.889
372.916
660.500
3
621.220 1101.11
532.560
943.810
466.079
825.833414.378
734.074
373.036
660.667
4
621.416
1101.39
532.727
944.048
466.226
826.042414.509
734.259
373.154
660.833
5
621.611
1101.67
532.895
944.286
466.373
826.250414.640
734.444
373.271
661.000
6
621.807
1101.94
533.063
944.524
466.520
826.458414.770
734.630
3:3.389
661.167
7
622.003
1102.22
533.231
944.762
466.667
826.667414.901
734.815
373.507
661.333
8
622.204
1102.50
533.403
945.000
466.817
826.875
415.035
735.000
373.627
661.500
9
622.404
1102.78
533.575
945.238
466.968
827.083
415.169
735.185
373.748
661.667
10
622.600
1103.06
533.743
945.476
467.115
827.292415.299
735.370
878.865
661.833
11
6 J2. 796; 1103. 33
533.911
945.714
467.262
827.500i415.430
735.556
373.983662.000
12
622.9971103.61
534.083
945.952
467.412
827. 708! 41 5. 564
735.741
374.103:662.167
13
623.197
1103.89
534.255
946.190
467.563
827.917415.698
735.926
374.224 662.333
14
623.393
1104.17
534.423
946.429
467.710
828.125415.828
736.111
374.341
662.500
15
623.589
1104.44
534.591
946.667
467.857
828 333415.959
736.296
374.459
662.667
16
623.790
1104.72
534.763
946.905
468.007
828.542416.093
736.481
374.579
662.833
17
623.990
1105.00
534.935
947.143
468.158
828.750
416.226
736.667
374.700
663.000
18
624.186
1105.28
535.103
947.381
468.305
828.958
416.357
736.852
374.817
663.167
19
624.382
1105.56
535.270
947.619
468.452
829.167
416.488
737.037
374.935
663.333
20
624.583
1105 83
535.442
947.857
4G8.602
829.375
416 622
737.222
375.056
663.500
21
624.783
1106.11
535.614
948.095
468.753
829.583
416.755
737.407
375.176
663.667
22
624.979
1106.39
535.782
948. 333
468.900
829.792
416.886
737.593
375.294
663.833
23
625.175
1106.67
535.950
948.571
469.046
830.000
417.017
737.778
375.411
664.000
24
625.376
1106.94
536.122
948.810
469.197
830.208
417.151
737 . 963
375.532
664.167
25
625.576
1107.22
536.294
949.048
469 347
830.417
417.284
738.148
375.652
664.333
26
625 . 772
1107.50
536.462
949.286
469.494
830.625
417.415
738.333
375.770
664.500
27
625.968
1107.78
536.630
949.524
469.641
830.833
417.546
738.519
375.887
664.667
28
626.169
1108.06
536.802
949.762
469.792
831.042
417.679
738.704
376.008
664.833
29
626 369
1108.33
536.974
950.000
469.942
831.250
417.813
738.889
376.128
665.000
30
626.565
1108.61
537.142
950.238
470.089
831.458
417.944
739.074
376.246
665.167
31
626.761
1108.89
537.310
950.476
470.236
831.667
418.075
739.259
376.364
665. .333
32
626.962
1109.17
537.482
950.714
470.387
831 875
418.208
739.444
37(5.484
665.500
33
627.162
1109.44
537.654
950.952
470.537
832.083418.342
739.630
376.604
665.667
34
627.363
1109.72
537.826
951.190
470.688
832 292
418.476
739 815
376.725
665.833
35
627.563
1110.00
537. 99*
951.429
470.838
S32.500
418.610
740.000
376.845
666.000
36
627.759
1110.28
538.166
951.66?
470.985
832.708
418.741
740.185
376.963
666.167
37
627.955
1110.56
538.334
951.905
471.132
832.917
418.871
740.370
377.081
666.333
38
628.156
1110.83
538.506
952.143
471.283
833.125
419.005
740 556
377.201
666.500
39
628.356
1111.11
538.678
952.381
471.433
833.333
419.139
740.741
377.322
666.667
40
628.557
1111.39
538.850
952.619
471.584
833.542
419.273
740.926
377.442
666.833
41
628.758
1111.67
539.022
952.857
471.734
833.750
419.406
741.111
377.563
667.000
42
628.953
1111.94
539.189
953.095
471.881
833.958
419.537
741.296
377.680
667.167
43
629.149
1112.22
539.357
953.33-1
472.028
834.167
419.668
741.481
377.798
667.33-5
44
629.350
1112.50
539.529
953.571
472.179
834.375
419.802
741.667
377.918
667.500
45
629.551
1112.78
539.701
953.810
472.329
834.583
419.935
741.852
378.039
667.667
46
629.751
1113.06
539.873
954.048
472.480
834.792
420.069
742.037
378.159
667.833
47
629.952
1113.33
540.045
954.286
472.630
835.000
420.203
742.222
378.280
668.000
48
630.152
1113.61
540.217
954.524
472.781
835.208
420.33?
742.407
378.400
668.167
49
630.353
1113.89
540.389
954.762
472.931
835.417
420.471
742.593
378.521
668.333
5O
630.5-19
1114.17
540.557
955.000
473.078
835.625
420.601
742.778
378 638
668.500
51
630.745
1114.44
540.725
955.238
473 225
835.833420.732
742.963
378.756
668.667
52
630.945
1114.72
540.897
955.476
473.376
836.042420.866
743.148
378.876
668 833
53
631.146
1115.00
541.069
955.714
473.526
836.250421.000
743.333
879.897
669.000
54
631.347
1115.28
541.241 955 952
473.677
836.458421.133
743.519
379.117
669.167
55
631 547
1115.56
541.413956.190
473 827
836.667421.26?
743.704
379.238
669.333 56
631 . 748
ni5. as
541.585
956.429
473.978
836.875421.401
743.889
379.358
669 500 57
631.949
1116.11
541 . 757
956.667
474.128
837. G83 421. 535
744.074
379.479
(569 667 58
632.149 1116.39
541.929
956.905
474.279
837.292421.669
744.259
379.599
669.833 59
179
TABLE XIV.— ACTUAL TANGENTS, ETC.
67°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~o"
Tan.
3793.40
Arc.
6700.00
Tan.
1896.27
Arc.
3350700
Tan.
F264726
Arc.
Tan.
Arc.
1675.00
Tan.
758.711
Arc.
22.i3.33
948.283
1340.00
1 379 i. 57 670 1.67
1896.86
3350.83
1264.65
2233.89
948.577 1675.42
758.946 1340.33
3 3194.75
6703.33
1897.44
3351 67
1265.05
2234.44
948.871 1675.83
759. 18111340. 67
3 3795.95
6705.00
1898.04
3352.50
1265.45
2235.00
949.171 1676.25
759.422 1341.00
4! 3797. 15
6706 67
1898.65
3353.33
1265.85
2235.56
949.472 1676.67
759.663
1341.33
5 '3798.366708.33
1899.253354.17
1266.252236.11
949.773 1677.08
759.903
1341.67
6 371)9.566710.00
1893.853355.00
1266.652236.6?
950.074
1677.50
760.144
1342.00
7 |3800. 76 671 1.67
1900. 45 '3355. 83
1267.052237.22
950.375
1677.92
760.385
1342.33
8
3801.976713.33
1901.053356.67
1267.45
2237.78
950.676 1678.33
?'60.626
1342.67
9
3803.176715.00
1901.65
3357.50
1267.85
2238.33
950.977
1678.75
760.866
1343.00
10
3804.376716.67
1902 26
3358.33
1268.25
2238.89
951.278
1679.17
761.107
1343.33
1.1
3805.586718.33
1902.86
3359.17
1268.66
2239.44
951.5781679.58
761.348
1343.67
13
3806.786720.00
1903.4633(30.00
1269.06
2240.00
951.879 1680.00
761.588
1344.00
13
3807.98:6731.67
1904.063360.83
1269.46
2240.56
952.180 1680.42
761.829
1344.33
14
3809. 19, 6723. 33
1904.66
3361.67
1269.86
2241.11
952.481 1680.83
762.070
1344.67
15
3810.3916725.00
1905.26
3362.50
1270.26
2241 . 67
952.782 1681.25
762.311
1345.00
16
3811.596726.67
1905.87
3363.33
1270.66
2242.22
953.083 1681.67
762.551
1345.33
17
38 12. 80 6728. 33
1906.47
3364.17
1271.06
2242.78
953.384 1682.08
?'62.792
1345.67
18
3814.00
6730.00
1907.07
3365.00
1271.46
2243.33
953.684 1682.50
763 033
1346.00
19
3815.20
6731.67
1907.67
3365.83
1271.86
2243.89
953.985
1682.92
763.273
1346.33
2O
3816.41
6733.33
1908.27
3386.67
1272.27
2244.44
95 t. 286
1683.33
763.514
1346.67
31
3817.61
6733.00
1908.87
3367.50
1272.67
2245.00
954.587 1683.75
763 . 755
1347.00
33
3S18.81
6736.67
1909.48
33(58.33
1273.07
2245 56
954.8881684.17
763.996
1347.33
33
3820.01
6738.33
1910.08
3369.17
1273.47
2246.11
955.189 1684.58
764.236
1347.67
34
3821.22
6740.00
1910.68
3370.00
1273.87
2246.67
955.490 1685.00
764.477
1348.00
35
3822.42
6741.67
1911.28
3370.83
1274.27
2247.22
95"). 790 11 685. 42
764.718
1348.33
36
3823.62
6743.33
1911.88
3371.67
1274.67
2247.78
956.091 1685.83
764.958
1348.67
37
3824.83
6745.00
1912.48
3372.50
1275.07
2248.33
9>6. 392 1 1686. 25
765.199
1349.00
38
3826.03
6746.67
1913.09
3373.33
1275 48
2248.89
956.6931686.67
765.440
1349.33
39
3827.23
6748.33
1913.69
3374.17
1275.88
2249.44
956.994
1687.08
765.681
1349.67
30
3S28.4J
6750.00
1914.29
3375.00
1276.28
2250.00
957.295
1687.50
765.921
1350.00
31
3829.64
6751.67
1914.89
3375.83
1276.68
2250.56
957.596
1687.92
766.162
1350.33
33
3830.84
6753.33
1915.49
3376.67
1277.08
2251 . 1 1
957.897
1688.33
766.403
1350.67
33
3832.05
6755.00
1916.09
3377.50
1277.48
2251.67
958.197
1688.75
766.644
1351.00
34
3833.25
6756.67
1916.70
3378.33
1277.88
2252.22
958.498
1689.17
766.884
1351.33
35
3834.45
6758.33
1917.30
3379.17
1278.28
2252.78
958.799
1689.58
767.125
1351.67
36
3835.66
6760.00
1917.90
3380.00
1278.68
2253.33
959.100
1690.00
767.366
1352.00
37
38
3836.80
3838.06
6761.67
6763.33
1918.50
1919.10
3380.83
3381.67
1279.09
1279.49
2253.89
2254.44
959. 401 j 161)0. 42
959.702 1690.83
767.606
767.847
1352.33
1352.67
39
3839.27
6765.00
1919.70
3332.50
1279.89
2253.0'
1)60.003
1691.25
768.088
1353.00
40
3840.47
6766.67
1920.31
3383.33
1280.29
2255.56
960.303
1691.67
768.329
1353.33
41
3841.70
6768.33
1920.92
3384.17
1280.70
2256.11
960.61111692.08
768.575
1353.67
43
3842.93
6710.00
1921 54
3385.00
1281.11
2256.67
960.920
1692.50
768.821
1354.00
43
3844.14
6771.67
1922.14
3385.83
1281.51
2257.22
901 . 220
1692.92
7(59.062
1354.33
44
3845.34
6773.33
1922.74
3336.67
1281.91
2257.78
961.521
1693.33
769.303
1354.67
45
3846 54
6775.00
1923 34
33S7.5P
1282.31
2258. .33
961.822
1693.75
769.544
1355.00
46
3847.75
6776.67
1923.94
3388.33
1282 71
2258.89
962.123
1694.1?
769.784
1355.33
47
3848.95
6778.33
1924.55
3389.17
1283.12
2259.44
962.424
1694.58
770.025
1355.67
48
3850.15
6780.00
1925.15
3390.00
1283.52
2260.00
962.725
1695.00
770.266
1356.00
49
3851.36
6781.67
1925.75
3390.83
1283.92
2260.56
963.026
1695.42
770.506
1356.33
50
3852.56
6783.33
1926.35
3391.67
1284.32
•226 1.11
968.898
1695.83
770.747
1356.67
51
53
3853.79
3855.02
6785.00
6786.67
1926.97
1927.58
3392.50
3393.33
1284.73
1285.14
2261.67
2262.22
963.634
963.942
1696.25
1696.67
770.994
771.240
1357.00
1357.33
53
3856.23
6788.33
1928.18
3394.17
1285.54
2262.78
9(14.243
1697.08
771.481
1357.67
54
3857.43
6790.00
1928 79
3395.00
1285.94
2263.33
964.544
1697.50
771.722
1358.00
55 3858.63
6791.67
1929.39
3395.83
1286.34
2263.89
964.845
1697.92
? 71. 962 1358.33
56i3859.84 6793.33
57 380 1.07 1 6795. 00
1929.99
1930.60
3396.67
3397.50
1280.74
1287.16
2264.44
2265.00
965.146
965.454
1698.33
1698.75
772.203 1358.67
772.4491359.00
58 3863.30 6796.67
1931.22
3398.33
1287.57
2265.56
965.7621699.17
772.696 1359.33
59 3863.50,6798.33
1931.82
3399.17
1287.97
2266.11
96ft. 063! 1699.58
772.937il359.67
180
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
67°
Tan.
Arc.
Tan. I Arc.
Tan.
Arc.
837.500
Tan.
4217803
Arc.
Tan.
Arc.
M.
632. 350; 11 16. 67
542.101 957.143
474.429
744.444
379.720
670.000
O
632.546 1116.94
542.209957.381
474.576
837.708421.9:33
744.630
379.83?
670.167
1
632 . 742 ! 1 1 1 7 . 22 542 . 437 957 . 619
474.723
837.917422.064
744.815
379.955
670.333
2
632.942 1117.50
542.609957.857
474.874
838.125
422.198
745.000
380.075
670.500
3
633.143 1117.78542.781
958.095
475.024
838.333
422.332
745.185
380.196
670.607
4
633.343 1118.06
542.953
958.333
475.175
838.542
422.465
745.370
380.316
670.833
5
633.544
1118.33543.125
958 571
475.325
838.750
422.599
745.556
380.43?
671.000
6
633.745
1118.61
543.297
958.810
475.476
838.958
422.733
745.741
380.55?
671.16?
7
633.945
1118.89
543.469
959.048
475.626
839.167
422.867
745.926
380.678
671.333
8
6:34 . 146
1119.17
5 43. 641
959.286
475.77?
839.375
423.001
746.111
380.798
671.500
9
634.347
1119. 44'543. 813
959.524
475.928
839.583
423.134
746.296
380.919
671.66?
1O
634.547
1119.72
543. 985 1959.762
476.078
839.792
423.268
746.481
381.039
671.833
11
6:34.748
1120.00
544.157
960.000
476.229
840.000
423.402
746.66?
381.160
672.000
13
634.948
1120.28544.329
960.238
476.379
840.208
423.536
746. 852
381.280
672.16?
13
635.149
1120.56
544.501
960.476
476.530840.417J423.670
747.03?
381 401 672.333
14
635. 3501 11 20. 83:54 4. 673
960.714
476.680
840 .625 '423. 804
747.222
381.521 672.500
15
635.550 1121.11
544.845
960.952
476.831
840.833423.937
747.407
381.641 672.66?
16
635.751
1121.39545.017
.mi. 190
476.981
841.042
424.071
747.593
381.762672.833
17
635.953
1121.67
545.189
J6 1.429
477.132
841.250
424.205
747.778
381.882
673.000
18
636.152
1121.94
545.361
961.667
477.282
841.458
424.339
747.963
382.003
673.16?
19
636.353
1122.22
545.533
961.905
477.433
841.66?
424.473
748.148
382.123
673.333
30
636.553
1122.50
545.705
962.143
477.583
841.875
424 607
748.1333
382 244
673.500
31
636.754
1122.781545.877
962.381
477.734
842.083
424.740
748.519
382.364
673.667
636.955
1123.06546.049
962.619
477.884
842.292
424.874
748.704
382 485
673.833
33
637.155
1123.33
546.221
962 857
478.035
842.500
425.008
748.889
382.605
674.000
24
637.356
1123.61
546.393
963.095
478.185
842.708
425.142
749.074
382.726
674.16?
25
637.557
1123.89
546.565
903.333
478.336
842 917
425.276
749.259
382.846
674.333
26
637.757
1124. 17|546. 737
963.571
478.486
843.125
425.410
749.444
382.967
674.500
27
637.958
1124.44
546.909
963.810
478.637
843 . 333
425.543
749.630
383.087
674.66?
28
638.158
1124.72
547.081
964.048
478.787
843.542
425.677
749.815
383.208
674.833
39
638.359
1125.00
547.253
964.286
478.938
843.750
425 811
750.000
383.328
675.000
30
638.560
1125.28547.425
964.524
479.089
843.958
425.945
750.185
383.449
675.16?
31
638.760
1125.56
547.597
964.762
479.239
844.16?
426.079
750.370
383.569
075.333
33
638.961
1125.83:547.769
965.000
479.390
844.375
426.212
750.556
383.690
675.500
33
639.162
1126.11
547.941
965.238
479.540
844.583
426.346
750.741
383.810
075.667
34
639.362
1126.39
548.113
965.476
479.691
844.792
426.480
750.926
383.931
675.833
35
639.563
1126.67
548.285
965.714
479.841
845.000
426.614
751.111
384.051
676.000
36
639.763
1126.94
548.457
965.952
479.992
845.208
426 . 748
751.296
384.171
676.167
37
639.964
1127.2.'
548.629
966.190
480.142
845.417
426.882
751.481
384.292
676.333
38
640 165
1127.50
548.801
966.429
480.293
&4S.625
427.015
751.667
384.412
676.500
39
610.365
1127.78
548.973
966.66?
480.443
845.8:33
427.149
751.852
384.533
676.667
4O
640.571
1128.06
549.149966.905
480 597
846.042 427.286
7*2.08?
384.050
076.833
41
640.770
1128.33
549.325967.143
480.751
846. 250! 427. 423
752.222
384.780
677.000
43
640.977
112-'. 61 !549. 497 907. 381
480.902
846.458427.55?
752.407
884.9011
077.16?
43
641.177
1128.89
549.609
967.619
481.053
846.667
427.691
5*2.598
385.021
077.333
44
641.378 1129.17i549.841
967.85?
481.203
846.875427.825
752.778
385.141
077.500
45
641.579 1129.44
550.013
908.095
481. 354
847.083427.959
752.963
385.201
677.667
46
641.7791129.72
550 185
968.333
481.504
847.292428.092
753.148
385.382
677.833
47
641.980J1130.00
550.35?
908.571
481.655
847.500428.226
753.333
385.502
678.000
48
642.181
1130.28
550.529
968.810
481.805
847.708428.360
753 519
385.623
678.16?
49
612.381
1130.56
550.701
969.048
481.956
847.917
428.494
753.704
385.743
678.333
5O
642.587
1130.83
550.877
969.286
482.110
848.125 428.631
753.889
385.86?
678.500
51
642.792
1131.11
551.053
969.524
482.264
848.333428.768
754.074
385.990
678.66?
53
642.993 1131.39551.225
909.762
482.414
848.542428.902
754.259
386.111
678.833
53
643.193 1131.67551.397
643.394sll31.94551.569
970 000
970.2:38
482.565
482.715
848.750429.036
848.958'429.169
754.444
754.630
386.231
380.351
679.000
679.16?
54
55
643.595 1132.22
551.741
970.476
482.866
849.167429.303
754.815386.472
679.333
56
643.8001132.50.551.917
970.714
483.020
849.375429.440
755.000
386.595
679.500
57
644.005 1132.78
552.093
970.952
483.174
849.583429.577
755.185
386.719
679.667
58
644.206 1133.06 552.265
971.190
483.325
849.792429.711 755.370
386.839
679.833
59
181
TABLE XIV. — ACTUAL TANGENTS, ETC.
68°
1° Curve,
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan .
Arc. Tan.
Arc.
Tan.
Arc.
o
3861.71
6800.00
1932.42
3400.00
1288.37
J266.07960.364
1700.00
773.177
1300.00
1
3865.91
0801.07
1933.03
3400.83
1288.77
2207.22900.005
1700.42
773.418
1300.33
9
3867.11
6803.33
1933.63
3401.67
1289.17
22(57.78966.965
1700.83
773.659
1360.67
3
3808.34
6805.00
1934.24
3402.50
1289.58
2268.33907.273
1701.25
773.905
1301.00
4
3869.58
0806.67
1934.86
3403.33
1289.99
.'208.89907.582
1701.67
774.152
1361.33
5
387-1.78
6808.33
1935.40
3404.17
1290.39
2269.44967.882
1702.08
774.392
1361.07
6
3871.98
6810.00
1936.06
3405.00
1290.79
2270.00908.183
1702.50
774.633
1362.00
7
3873.19
6811.67
1936.66
3405.83
1291.19
2270.50968.484
1702.92
774.874
1362.33
8
3874.39
6813.33
1937.27
3406.67
1291.60
2271.11 968.785
1703.33
775.115
1362.67
9
3875.62
6815.00
1937.88
3407.50
1292.01
2271.67
969.093
1703.75
775.361
1363.00
1O
3876.85
0816.67
1938.50
3408.33
1292.42
2272.22
969.401
1704.17
775.607
1363.33
11
3878.06
6818.33
1939.10
3409.17
1292.82
2272.78969.702
1704.58
775.848
1363.67
12
3879.26
6820.00
1939.70
3410.00
1293.22
2273.33970.003
1705.00
776.089
1364.00
13
3880.49
6821.67
1940.32
3410.83
1293.63
2273.89970.311
1705.42
776.335
1364.33
14
3881.72
6823 33
1940.93
3411.67
1294.04
2274.44 970.619
1705.83
776.582
1364.07
15
3882.93
6825.00
1941.53
3412.50
1294.44
2275.00970.920
1706.25
776.822
1365.00
10
3884.13
6826.67
1942.14
3413.33
1294.84
2275.56971.221
1706.67
777.003
1365.33
17
3885.33
6828.33
1912.74
3414.17
1295.24
2276.11 971.521
1707.08
777.304
1365.07
18
3886.54
6830.00
1943.34
3415 00
1295.65
2276.67971.822
1707.50
777.545
1366 00
19
3887.77
6831.67
1943.96
3415.83
1296.06
2277.22
972.130
1707.92
777.791
1366.33
20
3889.00
6833.33
1944.57
3416.67
1296.47
2277.78
972.438
1708.33
778.038
1366.67
21
3890.20
6835.00
1945.17
3417.50
1296.87
2278.33972.739
1708.75
778.278
1367.00
22
3891 41
6836.67
1945.77
3418.33
1297.27
2278.89973.040
1709.17
778.519
1367.33
23
3892.64
6838.33
1946.39
3419.17
1297.68
2279. 44 ! 973. 348
1709.58
778.765
1367.67
24
3893 87
6840.00
1947.01
3420.00
1298.09
2280.00973.656
1710.00
779.012
1368.00
25
3895.07
6841 67
1947.61
3420 83
1298.49
2280.56973.957
1710.42
779.253
1368.33
26.
3896.28
6843 33
1948.21
3421.67
1298.89
2281.11
974.258
1710.83
779.493
1308.67
27
3897.51
6845.00
1948.83
3422.50
1299.30
2281.67
974.566
1711.25
779.740
1309.00
28
3898.74
6846.67
1949.44
3423.33
1299.71
2282. 22 1 974. 874
1711.67
779.980
1309.33
29
3899.97
6848.33
1950.06
3424.17
1300.12
2282.78
975.182
1712.08
780.233
1369.67
30
3901.20
6850.00
1950 67
3425.00
1300.54
2283.33
975.490
1712.50
780.479
1370.00
31
390-2.41
6851.67
1951.28
3425.83
1300.94
J283.89i975.791
1712.92
780.720
1370.33
32
3903.61
6853.33
1951.88
3426.67
1301.34
2284.44
976.092
1713.33
780.961
1370.67
33
3904.84
6855.00
1952.49
3427.50
1301.75
2285.00
976.400
1713.75
781.207
1371.00
34
3906.07
6856.67
1953.11
3428.33
1302.16
2285.56
976.708
1714.17
781.453
1371.33
35
3907.28
6858.33
1953.71
3429.17
1302.56
J286.ll
977.009
1714.58
781.694
1371.67
36
3908.48
6860.00
1954.31
J430.00
1302.96
2286.67
977.309
1715.00
781.935
1372.00
37
3909.71
6861.67
1954.93
3430.83
1303.37
2287.22
9:7.618
1715.42
782.181
1372.33
38
•3910.94
6863.33
1955.54
3431.67
1303.78
J287.78
977.926
1715.83
782.428
1372.67
39
3912.18
6865.00
1956.16
3432.50
1304.19
2288.33
978.234
1716.25
782.674
1373.00
40
3013.41
6866.67
1956.78
3433.33
1304.60
2288.89
978.542
1716.67
782.921
1373.33
41
3914.61
6868.33
1957.38
3434.17
1305.00
2289.44
978.842
1717.08
783.161
1373.67
42
3915.81
6870.00
1957.98
3435.00
1305.41
J290.00
979.143
1717.50
783.402
1374.00
43
3917.05
6871.67
1958.60
3435.83
1305.8-,'
2290.56
979.451
1717.92
783.649
1374.33
44
3918.28
6873.33
1959.21
3436.67
1306.23
2291.11
979.759
1718.33
783.895
1374.07
45
3919.51
6875.00
1959.83
3437.50
1306.64
2291.67
980.067
1718.75
784.141
1375.00
46
39 .'0.74
0876.67
1960.44
3438.33
1307.05
2292 22
980.375
1719.17
784.388
1375.33
47
3921.95
6878.33
1961.04
3439.17
1307.45
2292! 78
980.676
1719.58
784.629
1375.67
48
3923.15
6880.00
1961.65
3440.00
1307.85
2293 . 33
980.977
17'20.00
784.869
1376.00
49
3924.38
6881.67
1962.26
3440.83
1308.26
2293.89
981.285
1720.42
785.116
1376.33
50
3925.61
6883.33
1962.88
3441.67
1308.67
2294.44
981.593
1720.83
785.302
1376.67
51
3926.84
6885.00
1963.49
3442.50
1309.08
2295.00
981.901
1721.25
785.609
1377.00
52
3928.08
6886.67
1964.11
3443.33
1309.49
2295.56
982.209
1721.67
785.855
1377.33
53
31)29.31
0888.33
1964.73
3444.17
1309.90
2296.11
982.517
1722.08
7'86.102
1377.07
54
3930.54
6890.00
1965.34
3445.00
1310.31
2296.67
982.825
1722.50
786.348
1378.00
55
3931.74
0891.67
1965.94
3445.83
1310.72
2297.22
983.126
1722.92
786.589
1378.33
56
3932.95
0893. 33
1966.55
3446.67
1311.12
2297.78
983.427
1723.33
786.830
1378.67
57
3934.18
6895.00
1967.16
3447.50
1311.53
2298.33
983.735
1723.75
787.070
1379.00
58
3935.41
0896.67
1967.78
3448.33
1311.94
2298.89
984.043
1724.17
787.3-22 1379.33
59
3936.64
6898.33
1968.39
3449.17
1312.35
2299.44
984.. 351
1724.58
787.509 1379.07
182
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
68°
Tan.
Arc.
Tan.
Arc.
Tan.
483.475
Arc.
Tan.
Arc.
Tan .
Arc.
M.
644.407
1133.33
552.437
971.429
850.000
429.845
755.556
386.960680.000
0
644.607
1133.61
552.609
971.667
483.626^850.208
429.979
755.741
387.080680.167
1
644.808
1133.89
552.781
971.905
483.776850.417
430.113
755.926
387.201 680.333
2
645.013
1134.17
552.957
972.143
483.930850.625
430.250
756.111
387. 324 680.1 f -00
3
645.219
1134.44
553.133
972.381
484. 084 850. 833
430.387
756.296
387.447 680.067
4
645.419
1134.72
553.305
97'2.619
484.235851.042
430.520
756.481
387. f 68 680. 833
5
645.620
1135.00
553 477
972.857
484. 386 '851. 250
430.654
756 667
387.688681.000
(>
645.821
1135.28
553.649
973.095
484.536851.458
430.788
756. 85','
387.809681 167
7
646.021
1135.56
553.821 973.333
484.687
851.667
430.922
757.037
387.929681.333
8
646.22?
1135.83
553.997
973.571
484.841
851.875
431.059
757.222
388.052
681.500
9
646.432
1136.11
554.173
973.810
484.995
852 083
431.196
757.407
388.176
681.667
1O
646.633
1136.39
554.345
974.048
485. 145 1852. 292
431. 330 1 757. 593
388.296:681.833
11
646.833
1136.67
554.517
974.286
485.296
852.500
431. 464 1 757. 778
388.417682.000
12
647.039
1136.94
554.691
974.524
485.450
852.708
431.601
757.963
388.540
682 167
13
647.244
1137.22
554.870
974.762
485.604
852.917
431 738
758.148
388.663
682.333
14
647.445
1137.50
555 042
975.000
485.755
853.125
431.871
758.333
388.784
682. 00
15
647.645
1137.78
555.214
975.238
485.905
853:333
432.005
758.519
388 904
682 667
16
647.846
1138.06
555.386
975.476
486.056
853.542
432.139
758.704
389.025682.833
17
648.047
1138.33
555.558
975.714
486.206
853.750
432.2731758.889
389.1451683.000
18
648.252
1138.61
555.734
975.952
486.360
853.958
432.410
759.074
389.269
683.167
19
648.457
113S.89
555.910
976.190
486.514
854.167
432 547
759.259
389.392
683.333
20
648.658
1139.17
556.082
976.429
486.665
854.375
432 681 1759.444
389.513
683.500
21
648.859
1139.44
556.254
976.667
486.815
854.583
432.815
759 630
389.633
683.667
22
649.064
1139.72
556.430
976.905
486.970
854.792
432.952
759.815
389.756
683.833
23
649.269
1140.00
556.606
977.143
487 124
855.000
433.089
760.000
389 880
684.000
24
649.470
1140.28
556.778
977.381
487.274
855.208
433.222
7'60.185
390.000
684 167
25
649.671
1140.56
556.950
977.619
487.425
855.417
433.356
760.370
390.121
684.333
26
649.876
1140.83
557.126
977.857
487.579
855.625
433.493
760.556
390.244
684.500
27
650.081
1141.11
557.302
978.095
487.733
855.833
433.630
760.741
390.367
684.667
28
650.287
1141.39
557.478
978.333
487.887
856.042
433.767
760.926
390.491
684.833
29
650.492
1141.67
557.654
978.571
488.041
856 250
433.904
761.111
390.614
685.000
30
650.693
1141.94
557.826
978.810
488.192
856 458
434.038
761.296
390.734
685.167
31
650.894
1142.22
557.998
979.048
488.342
856.667
434. 172
761.481
390.855
685.333
32
651.099
1142.50
558.174
979.286
488.496
856.875
434.309
761.667
390.978
685.500
33
651.304
1142.78
558.350
979.524
488.650
857.083
434.446
761.852
391.102
685.667
34
651.505
1143.06
558.522
979.762
488.801
857.292
434.580
762.037
391.222
685.833
35
651.706
1143.33
558.694
980.000
488.951
857.500
434.714
762 222
:/.)!. 343
686.000
36
651.911
1143.61
558.871
980.238
489.106
857.708
434.851
762.407
391.466
686.167
37
652.116
1143.89
559.017
980.476
489.260
857.917
434.988
762.593
391.589
686.333
:i8
652.322
1144.17
559.223
980.714
489.414
858.125
435.125
762.778
391.713
686.500
39
652.527
1144.44
559.399
980.952
489.568
858.333
435.262
762.963
391.836
686.667
40
652. 72H
1144.72
559.571
981.190
489.718
858.542
435.396
763.148
391.956
686.833
41
652.928
1145.00
569.748
981.429
489.869
858.750
435.529
763.333
392.077
t 87. 000
42
653.134
1145.28
559.919
981.667
490.023
858 958
435.666
763.519
392.200
687.167
43
653.339
1145.56
560.095
981.905
490.177
H59.167
435 803
763.704
392.324
6S7.333
44
653.545
1145.83
560.271
982.143
490.331
859.375
435.940
763.889
392.447
687.500
45
653.750
1146.11
560.447
982. 3S1
490.485
859.583
436.077
764.074
392.570
687.667
46
653.951
1146.39
560.619
982.619
490.636
859.792
436.211
764.259
392.691
687.833
47
654 . 151
1146.67
560.791
982.857
490.786
860.000
436.345
764.444
392.811
688.000
48
654.357
1146.94
560.967
983.095
490.940
860.208
436.482
764.630
392.935
688.167
49
654.562
1147.22
561.143
983.333
491.095
860.417
436.619
764.815
393.058
688.333
50
654.788
1147.50
561.319
983.571
491.249
K60.625
436.756
765.000
393.181
688.500
51
654.973
1147.78
561 495
983.810
491.403
860.833
436.893
765.185
393.305
688.667
52
655.178
1148.06
561.672
9S4.04S
491.557
861.042
437.030
765.370
393.428
688.833
53
655.384
1148.33
561. 848 '984. 286
491.711
861.250
137.107
765.556
393.551
689.000
54
655.584
1148.61
562. 020 ' 984. 524
491.862
861. 45S
437.301
765.741
393.672
689.167
55
655.785
1148.89
562. 192 '984. 762
492.012
861.667
437.435
765.926
393.792
689.333
56
655.990
1149.17J562.368985.000
492.166
861 ,H7T.
437.572
766.111
893.916
689.500
57
05(5. 190
1149.44 562. 544 '985. 238
492.320
862.083
437.709
766.296
394.039
689.667
58
656 . 401 1 1 1 49 . 72 : 562 . 720 985 . 4 76
492.474
862.292
437.846
7G6.481
394.162
689.833
59
183
TABLE XIV.— ACTUAL TANGENTS, ETC.
69"
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Are.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
3937.8?
6900.00
1969.01 3450.00
1312.76
2300. OJ
984.6.)9 1725.00
787.815 1380.00
1
3939.11
6901.67
1969.633450.83
1313.17
2300.56
984.967 1725.42
788.062 1380.33
2
39 JO. 34
6903.33
1970.243451.67
1313.58
2301.11
985.275
1725.83
788.3081380.67
3
3941.57
6905.00
1970 86 3452.50
1313.99
2301.67
985.583
1726.25
788.5551381.00
4
3942.80
6906.67
1971.473453.33
1314.40
2302.22
985.891 1726.67
788.801 1381.33
5
3944.03
6908.33
1972.093454.17
1314.81
2302.78
986.199 1727. Oh
789.048 1381.67
6
3945.27
6910.00
1972.703155.00
1315.22
2303.33
986.507 1727.50
789.294 1382.00
7
3946.50
6911.67
1973.323455.83
1315.63
2303.89
986.815
1727.92
78^.540
1382.33
8
3947 73
6913.33
1973.943456.67
1316.05
2304.44
987.123
1728.33
789.78?
1382.67
9
3948.93
6915.00
1974.54
3457.50
1316.45
2305.00
987.424
1728.75
790.028
1383.00
10
3950.14
6916.6?
1975.14
3458.33
1316.85
2305.56
987.725
1729.1?
790.268
1383.33
11
395 1. 3 r
6918.33
1975.76
3459.17
1317.26
2306.11
988.033
1729.58
790.515
1383.67
13
3952.60
6920.00
1976.37
3460.00
1317.67
2306.67
988.341
1730.00
790.761
1384.00
13
3'.)53.83
6921.6?
1976.99
3460.83
1318.08
2307.22
988.649
1730.42
791.008
1384.33
14
3955.06
6923.33
1977.60
3461.67
1318.49
2307.78
988.95?
1730.83
791.254
1384.67
15
3956.29
6925.00
1978.22
3162.50
1318.90
230S.33
989.265
1731.25
791.501
1385.00
16
3957.53
6926.67
1978.84
3463.33
1319.31
2308.89
989.573
1731.67
791.74?
1385.33
17
3958.76
6928.33
1979.45
3464.1?
1319.72
2309.44
989.881
1732.08
791.994
1385.67
18
3959.99
6930.00
1980.0?
3465.0)
1320.13
2310.00
990.189
1732.50
792.240
1386.00
19
3961.2-.*
6931.67
1980.68
3465.83
1320.54
2310.56
990.497
1732.92
792.486
1386.33
30
396-2.45
6933.33
1981.33
3466.67
1320.95
2311.11
990.805
1733.33
792.733
1386.67
31
3963.69
6935.00
1981.92
1467.50
1321.36
2311.67
991.113
1733.75
792.979
1387.00
33
3964.92
6936.6?
1982.53
3468.33
1321.78-
2312.22
991 421
1734.1?
793.226
1387.33
33
3966.15
(5938.33
1983.15
3409.1?
1322.19
2312.78
991.730
1734.58
793.472
1387.67
34
S907.3H
6940.00
1983.76
3 470.00
1332.60
2313.33
992.038
1735.00
793.719
1388.00
35
3968.61
6941.67
1984.3813470. 83
1323 01
2313.89
992.346
1735.42
793.965
1388.33
36
396'.). 85
6913.33
1985.00
5471.6;
1323.42
2314.44
992.654
1785.88
T94.212
1388.67
37
3971.08
6945.00
1985.61
1472.50
1323.83
2315.00
992.962
1736.25
794.458
1389.00
38
3972.31
6946.67
1986. 2i
3173.33
1324.24
2315.56
993.270
1736.67
794.704
1389.33
39
3973.54
6948.33
1986.84
3174.17
13 -'4. 65
2316.11
993.578
1737.08
794.951
1389.67
3O
3974.77
(5950.00
1987.46
3475.03
1335.06
2316.6?
993.886
1737.50
795.19?
1390.00
31
3976.03
6951.67
1988.09
3475.83
1325.48
2317.2-2
994.201
1737.92
795.450
1390.33
33
3977.29
6953.33
1988.72
3476 67
1325.90
2317.78
J94.516
1738.33
795.702
1390.67
33
3978.53
6955.00
1989.31
3477.50
1326.31
2318.33
J94.824
1738.75
795.948
1391.00
34
3979. 7t>
6956.67
1989.95
3178.33
1326.72
2318.89
995.132
1739.17
796.195
1391.33
35
3980.99
6958.33
1990.57
3179.17
1327.13
2319.44
995.440
1739.58
796.441
1391.67
36
3982.22
6960.00
1991. IS
3 HO. 00
1327.54
2320.00
995.748
1740.00
796.688
1392.00
37
3983.45
6961 . 6?
I W 1.80
3180.83
1327.95
2320.56
996.056
1740.42
796.934
1392.33
38
3984.69
6963.33
1992.42
3481.67
1328.37
2*21.11
996.364
1740.83
797.180
1392.67
39
3985.92
6965.00
1993.03
3182.50
1328.78
2321.67
996.672
1741.25
797,427
1393.00
4O
3987.15
6966.67
1903.65
34S3.33
1329.19
2322.22
996.980
1741.6?
797.673
1393.33
41
3988.38
6968.33
1991.26
3484.17
1329.60
232-2.78
997.288
1742.08
797.920 1393.67
43
3989.61
6970.00
1994.88
3485.00
1330.01
2323.33
997.596
1742.50
798.166 1394.00
43
3990.87
6971.6?
1995.51
3485.83
1333.43
2323.89
997.912
1742.92
793.418 1394.33
44
3992.13
6973.33
1936.14
34S6.6?
133). 85
2324.44
998.227
1713.33
798.671 1394.67
45
3993.37
6975.00
1996. 76 1 3 487. 50
1331.26
2325.00
998.535
1713.75
798.917 1395.00
46
3994.60
6976.67
1 997. 3 r 3488.33
1331.67
2325.56
998.843
1744.1?
799.163 1395.33
47
3995.83
6978.33
1997.993489.1?
1332.08
2326.11
9W.151
1744.58
799.410 1395.67
48
3997.06
6980.00
1998.60:3490.00
1332.49
2326.6?
999.459
1745.00
799.656 1396.00
49
3998.29
6981.67
1999.22
3490.83
1332.90
2327.22
999.767
1745.42
799.903 1396.33
5O
3999.52
6983.33
1999.84
3491.67
1333.31
2327.78
1000.07
1745.83 800.149
1396.67
51
4000.76
6985.00
2000.45
3492.50
1333.72
2328.33
1000.38
1746.25
800 396 1397.00
53
4001.99
6986.6?
2001.07
3493.33
1334.13
2328.89
1000 69
1746.67
800.642 1397.33
53
54
4003.25
4004.51
6988.33
6990.00
2001.70
2002.33
3491.17
3495.00
1334.55
1334.97
2329.44 1001.01
2330.00 1001.32
1747.08
1747.50
800 894 1397.67
801.1471398.00
55
4005.74
6991.67
2002.94
3495.83
1335.38
2340.56
1001.63
1747.92
801.3931398.33
58
4006.97
6993.33
2003.56
3496.67
1335.80
2331.11
1001.94
1748.33
801.63!) 1398.67
57
4008.21
6995.00
2004.18
3497.50
1336.21
2331.67
1002.25
1748.75
801.8861399.00
58
4009.44
6996.6?
2004.79
3498.33
1336.62
2332.22
1002.55
1749.17
802.132 1399.33
59
4010.70
6998.33
2005.42
3499.17
1337.04
2332.7811002.87
1749.58
802.385 1399.07
184
TABLE XIV. — ACTUAL TANGENTS, ETC.
o
10° Curve.
Tan.
Arc.
Tan.
Arc. Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
656,607
1150.00
562.890
985.7141492.629
862.500
437 983
766.607
894.286
690.000
O
650.812
1150.28
563.072
985. 952 492. 783
802.708
438.120
766.852
394.409690.167
1
05". 01 7 1150.56
563.248
986.190
492.937
802.917
438.257
767.037
394.532
690.333
2
657.223
1150.83
563.424
986.429
493.091
863.125
438.394
767.222
394.650
090.500
3
657.428
1151.11
563.600980.607
493.245
863.333
438.531
707.407
394.779
090.667
4
65". 634
1151.39
563. 776 1980.905
493.399
803.542
438.668
767.593
394.902
690.833
5
657.839 1151. 67
563.953987.143
493.553
803.750
438.805
767.778
395 026
691.000
6
658.044
1151.94
504. 129 1987. 381
493 70;
803.958
438.942
767.903
395.149
091.167
7
658.850
1152.22
564.305
987.619
493.861
804.167
439.079
768.148
395.272
691.333
8
658.451
1152.50
564.477
987.857
494.012
861.375
439.213
768.333
395.393
691.500
9
658.651
1152.78
564.649
988.095
494.162
804.583
439.347
768.519
395.513
691.667
1O
658.857
1153.00
564.825
988.333
494 317
804.792
439.484
768.704
395.037
691.833
11
659.062
1153.33
565.001
988.571
494.471
805.000
439.621
768.889
395.700
692.000
12
659.267
1153.61
505.177
988.810
494.625
865.208
439.758
769.074
395.883
692.167
13
659.473
1153.89
565.353
989.048
494.779
865.417
439.895
769.259
396.007
692.333
14
659.678
1154.17
505.529
989.280
494.933
865.625
440.032
769.444
396.130
692.500
15
659.884
1154.44
505.705
989.524
495.087
865/833
440.169
769.630
396.253
692.667
Hi
660.089 1154.72
505.881
989.762
495.241
866.042
440.306
769.815
396.377
692.833
17
660.294
1155.00
506.057
990.000
495.395
866.250
440.443
770.000
896.500
693.000
18
660.500
1155.28
566.234
990.238
495.549
806.458
440.580
770.185
390.023
093.167
19
660.705
1155.56
566.410
990.470
495.703
866.667
440.717
770.370
396.747
693 333
20
660.911
1155.83
566.586
990.714
495.858
806.875
440.854
770.556
396.870
693.500
21
661.116
1156.11
566.762
990.952
496.012
867.083
440.991
770.741
396.993
693.667
22
661.321
1156.39
566.938
991.190
496.166
867.292
441.128
770.926
397.117
693.833
23
661.527
1156.67
567.114
991.429
496.320
867.500
441.265
771.111
397.240
694.000
24
0(51.732
1156.94
567.290
991.007
496.474
807.7'08
441.402
771.290
897.MJ8
694.167
25
601.938
1157.22
567.466
991.905
496.628
867.917
441.539
771.481
397.487
094.333
2G
002.143
1157.50
567.642
992.143
496 . 782
808.125
441.070
771.667
397.610
094.500
27
662.348
1157.78
507.818
992.381
496.936
808.333
441.813
771 852
397.733
694.667
28
662.554
1158.00
567.994
992.619
497.090
808.542
441.950
772.037
397.857
694.833
29
662.759
1158.33
568.171
992.857
497.245
868.750
442.087
772 222
397.980
695.000
30
662 909
1158.61
508.351
993.095
497.402
868.958
442 227
772.407
398.106
695.167
31
663.180
1158.89
508.531
993.333
497.560
809.107
442 367
772 593
398.233
095.333
32
663.385
1159.17
568.70?
993.571
497.714
809.375
442.504
772 '.778
398 350
695.500
33
663.590
1159.44
568.883
993.810
497.868
869.583
442.641
772.963
398.479
695.667
34
063.790
1159.72
569.059
994.048
498.022
809.792
442.778
773.148
398.603
695.833
35
664.001
1160.00
569.235
991.286
498.176
870.000
442.915
773 333
398.726
696.000
36
664.207
1100.28
569.411
994.524
498.330
870.208
443.052
773.519
398.849
696.167
37
664.412
1160.56
569.587
994.762
498.485
870.417
443 J89
773.704
398.973
696.333
38
664.617
1100.83
569.763
995.000
498.639
870.025
443.320
77'3.889
399.096
696.500
39
664.823
1161.11
569.940
995.238
498.793
870.833
443.463
774.074
399 219
696.667
40
665.028 1161.39
570.116
995.470
498.947
871.042
443.600
77-4.259
399.343
696.833
41
605.234 1161.67
570.292
995.714
499.101
871.250
443.737
774.444
399 466
697.000
42
665.444lll61.94
570.472
995.952
499.259
871.458
443.878
774.630
31)9.592
697.167
43
665.654
1162.22
570.652
996.190
499.410
871.667
444.018
774.815
399.718
697.833
44
665.859
1162.50
570.828
996.429
499.571
871.875
444.155
775.000
399 842
697.500
45
666. 065 Si 162. 78
571.004990.667
499.725
872.083
444.292
775 185
399.965
697.667
46
666. 270 ; 1163. OH
571.180:996.905
499.879
872.292
444.429
775.370
400.088
697.833
47
600.476
1163.33
571.350
997.143
500.033
872.500
444.566
775.550
400.212
698.000
48
000.681
1163.01
571.533
997.381
500.187
872.708
444.703
775.741
400.335
698.167 49
666.886
1163.89
571.709
997.619
500.341
872.917
444.840
775.926
400.459
698.333 50
607.092
1164.17
571.885
997 857
500.495
873.125
444.977
776.111
400.582
698.500
51
667.297
1164.44
572.061
998.095
500.049
873.333
445.114
776.296
400.705
098.607
52
667.507
1164.72
572.241
998.333
500.807
873.542
445.254
776.481
400.831
098.833
53
667.718
1165.00
572.421
998.571
500.965
873.750
445.394
776.667
400.958
699.000
54
667.923
1165.28
572.597
998.810
501.119
873.958
445.531
776.852
401.081
699.167
55
668.128
1165.50
572.773
999. 04S
501.273
874.167
445.668
777.037
401.204
099.333
56
668.334
1165.83
572.949
999.286J501.427
874.375
445 805
777.222
401.328
699.500
57
668.539
1166.11
573.120
999.524501.581
874.583
445.942
777.407
401.451
699.667
58
668.749
1166.39
573.300
999.702501 739
874.792
440.083
777.593
401.577
699.833
59
185
TABLE XIV.— ACTUAL TANGENTS, ETC.
70°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
7000.00
Tan.
Are.
Tan.
Arc.
Tan.
1603.18
Arc.
Tan.
Arc.
O
4011.96
2006.05
3500.00
1337.46
2333 33
1750.00
802.637
1400.00
1
-1013.19
7001.672006.67
3500.83
1337.87
•2333.89
1003.49
1750.42
802.883
1400.33
2
4014.42
7003.332007.28
3501.67
1338.28
•2334.44
1003.80
1750.83
803.130
1400.67
3
4015.65
7005. 00 12007. 90
3502.50
1338.69
2335.00
1004.11
1751.25
803.376
1401.00
4
4016.89
7006.67)2008 52
3503.33
1339.10
2335.56
1004.42
1751.67
803.623
1401.33
5
4018.15
7008.332009.15
3504.17
1339.5-2
2336.11
1004.73
1752.08
803.875
1401.67
O
4019 41
7010.002009.78
3505.00
1339.94
2336.67
1005.05
1752.50
804.127
1402.00
7
40-20.64
7011.672010.39
3505.83
1340.35
2337.22
1005 35
1752.92
804.373
1402.33
8
402 t. 87
7013. 331201 1.01
3506.67
1340.76
2337.78
1005.66
1753.33
804.620
1402.67
9
4023.13
7015.00
2011.64
3507.50
1341.18
2338.33
1005.98
1753.75
804.872
1403.00
1O
1024.39
7016.67
2012.27
3508.33
1341.60
2338.89
1006.29
1754.17
805.124
1403.33
11
4025.62
7018.33
2012.89
3509.17
1342.01
2339.44
1006.60
1754.58
805.371
1403.67
1 2
1026.86
7020.00
2013.50
3510.00
1342.42
2340.00
1 U06.91
1755.00
805.617
1404.00
13
4028.12
7021.67
2014.13
3510.83
1342.84
2340 . 56
1007.22
1755.42
805.869
1404.33
14
4029.38
7023.33
2014.76
3511.67
1343.26
2341.11
1007.54
1755.83
806.121
1404.67
15
4030.61
7025.00
2015.38
3512.50
1343.67
2341.67
1007.85
1756.25
806.368
1405.00
16
4031.84
7026.67
2015.99
3513.33
1344.09
2342.22
1008.16
1756.67
806.614
1405.33
17
4033.10
7028.33
2016.62
3514.17
1344.51
2342.78
1008.47
1757.08
806.866
1405.67
18
4034.36
7030.00
2017.25
3515.00
1344.93
2343.33
1008.79
1757.50
807.119
1406.00
19
4035.59
7031.67
2017.87
3515.83
1345.34
2343.89
1009.09
1757.92
807.365
1406.33
2O
4036.82
7033.33
2018.49
3516.67
1345.75
•2344.44
1009.40
1758.33
807.612
1406.67
21
4038.09
7035.00
2019.12
3517.50
1346.17
2345.00
1009.72
758 . 75
807.864
1407.00
22
4039.35
7036.67
2019.75
3518.33
1346.59
2345.56
1010.03
759.17
808.116
1407.33
23
4040.58
7038.33
2020.36
3519.17
1347.00
2316.11
1010.34
759.58
808.362
1407.67
24:
4041.81
7040.00
2020.98
3520.00
1347.41
2346.67
1010.65
760.00
808.609
1408.00
25
4043.07
7041.67
2021.61
3520.83
1347.83
2347.22
1010.96
760.42
808.861
1408.33
26
4044.33
7043.33
2022.24
3521.67
1348.25
2347.78
1011.28
760.83
809.113
1408 67
27
4045.56
7045.00
2022.86
3522.50
1348.66
2348.33
1011 59
761.25
809.3(50
1409.00
2$
4046.79
7046.67
2023.47
3523.33
1349.07
2348.89
1011.89
761.67
809.606
1409.33
29
4048.06
7048.33
2024.10
3524.17
1349.49
2349.44
1012.21
762.08
809.858
1409.67
30
4049.32
7050.00
2024.73
3525.00
1349.91
2350.00
1012.53
762.50
810.110
1410.00
31
4050.58
7051.67
2025.36
3525.83
1350.33
2350.56
1012 84
762.92
810.363
1410.33
32
4051.84
7053.33
2025.99
3526.67
1350.75
23')1. 11
1013.16
763.33
810.615
1410.67
33
4053.07
7055.00
2026.61
3527.50
1351.16
2351.67
1013.46
763.75
810.861
1411.00
34
4054.30
7056.67
2027.22
3528.33
1351.57
2352.22
1013.77
764.17
811.108
1411.33
35
4055.56
7058.33
2027.85
3529.17
1351.99
2352.78
1014.09
764.58
811.360
1411.67
36
4056.82
7060.00
2028.49
3530.00
1352.41
2353.33
1014.40
765.00
811.612
1412.00
37
4058.08
7061.67
2029.12
3530.83
1352.83
2353.89
1014.72
765.4-2
811.864
1412.33
38
4059.34
7063.33
20-29. 75
3531.67
1353.25
2354.41
1015.03
765.83
812.116
1412.67
39
4060.57
7065.00
2030.36
3532.50
1353.66
2355.00
1015.34
766.25
812.363
1413.00
40
4061.81
7066.67
2030.98
3533.33
1354.07
2355.56
1015 65
766.67
812 609
1413.33
41
4063.07
7068.33
2031.61
3534.17
1354.50
2356.11
1015.9(5
1767.08
812.862
1413.67
42
4064.33
7070.00
2032.24
3535.00
1354.92
2356.61
1016.28
767.50
S13.114
1414.00
43
4065.59
7071.67
2032.87
3535.83
1355.34
2357.22
1016.59
767.92
813 3(56
1414.33
44
4066.8517073.33
2033.50
3536.67
1355.76
2357.78
1016.91
768.33
813. 61H
1414.67
45
4068.11
7075.00
2034.13
3537.50
1356.18
2358.33
1017.22
7 68 . 75
813.87'0
1415.00
46
4069.37
7076.67
2034.76
3538.33
1356.60
23xS.89
1017 54
769.17
814.122
1415.33
47
4070.60
7078.33
2035.38
3539.17
1357.01
2359.44
1017.85
769.58
814.3(59
1415.67
48
4071.83
7080.00
2035.99
3540.00
1357.42
2360.00
1018.16
77'0.00
814.615
1416. (X)
49
4073.09
7081.67
2036.62
3540.83
1357.84
2360.56
1018.47
770.42
814.868
1416.33
50
4074.35
7083.33
2037.25
3511.67
1358.26
2361 . 1 1
1018.79
770.83
815.120
1416 67
51
4075.61
7085.00
2037.88
3542.50
1358.68
23(51.67
1019.10
77" 25
815.372
1417.00
52
4076.88
7086.67
2038.51
3543.33
1359.10
2362.22
1019.42
771 ! 67
815.624
1417.33
53
4078.14
7088.33
2039.14
3544.17 1359 52
•2362. 78
1019.73
772.08
815.876
1417.67
54
4079. 40 [7090. 00
2039.77
3545.001359.942363.33
1020.05
772.50
816.128
1418.00
55
4 080. 6C> 7091.67
2040.40
3545.83 1360.36 2363.89
1020.36
772 . 92
816.381
1418.33
56
4081 . 92 7093 . 33 ' 204 1 . 03 ! 354(3 . 67 1 360 . 78 2364 . 44
1020.68
773.33
816. 633[1418. 67
57
4083 . 15 7095 . 00 2041 . 65 3547 . 50 1 361 1 9 23(55 . 00
1020.99
773 . 75
816.879
1419.00
58
4084 . 3S 7096 . 67 2042 . 27 3548 . 33 1 301 . 60
2365 . 56
1021.29
774.17
817.126
1419.33
59
4085 . 64 1 7098 . 33 ! 2042 . 90 1 3549 . 1 7 1362 . 02
2366.11
1021.61
1774.58
817.378ll419.67
186
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
70°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
M.
668.960 1166.67
573.486
1000.00
501.896875.000
446.223777.778
401.703700.000
o
669.165lll66.94
573.6621000.24
502.051 875.208
446.360777.963401.827
700.167
1
669.370 1167.22
573.838
1000.48
502.205
875.417
446.497
778.148401.950
700.333
669.576 1167.50
574.014
1000.71
502.359
875.625
446.634
778.333
402.073
700.500
3
669.781 1167.78
574.190
1000.95
502.513
875.833
446.771
778.519
402.197
700.667
4
669.991 1168.06
574.370
1001.19
502.671
876.042
446.911
778.704
402.323
700.833
5
670.2021168.33
574.551
1001.43
502.828
876.250
447.051
778.889
402.449
701.000
6
670.407jll68.61
574.727
1001.67
502.982
876.458
447.188
779.074
402.573
701.167
7
670.612lll68.89
574.903
1001.91
503.137
876.667
447.325
779.259
402.696
701.333
8
670.823 1169.17
575.083
1002.14
503.294
876.875
447.465
779.444
402.822
701.500
9
671.0:331160.44
575.263
1002.38
503.452
877.083
447.606
779.630
402.948
701.667
1O
671.238)1169.72
575.439
1002.62
503.606
877.292
447. 743 1779.815
403.072
701.833
11
671.444
1170.00
575.615
1002.86
503.760
877.500
447.880780.000
403.195
702.000
12
671.654
1170.28
575.796
1003.10
503.918
877.708
448. 020 1780. 185
403.321
702.167
13
671.864
1170.56
575.976
1003.33
504.075
877.917
448.160
780.370
403.447
702.333
14
672.069
1170.83
576.152
1003.57
504.230
878.125
448.297
780.556
403.571
702.500
15
672.275
1171.11
576.328
1003.81
504.384
878.333
448.434
780.741
403.694
702.667
16
672.485
1171.39
576.508
1004.05
504.541
878.542
448.574
780.926
403.820
702.833
17
672.695
1171.67
576.688
1004.29
504.699
878.750
448.715
781.111
403.947
703.000
18
672.900
1171.94
576.864
1004.52
504.853
878.958
448.852
781.296
404.070
703.167
19
673.106
1172.22
577.040
1004.76
505.007
879.167
448.989
781.481
404.193
703.333
2O
673.316
1172.50
577.221
1005.00
505.165
879.375
449.129
781 667
404.319
703.500
21
673.526
1172.78
577.401
1005.24
505.323
879.583
449.269
781.852
404.446
703.667
22
673.732
1173.06
577.577
1005.48
505.477
879.792
449.406
782.037
404.569
703.833
23
673.937
1173.33
577.753
1005.71
505.631
880.000
449.543
782.222
404.692
704.000
24
674.147
1173.61
577.933
1005.95
505.789
880.208
449.683
782.407
404.819
704.167
25
674.357
1173.89
578.113
1006.19
505.946
880.417
449.823
782.593
404.945
704.333
26
674.563
1174.17
578.289
1006.43
506.100
880.625
449.960
782.778
405.068
704.500
27
674.768
1174.44
578.466
1006.67
506.254
880.833
450.097
782.963
405.191
704.667
28
674.978
1174.72
578.646
1006.91
506.412
881.042
450.238
783.148
405.318
704.833
29
675.189
1175.00
578.826
1007.14
506.570
881.250
450.37'8
783.333
405.444
705.000
30
675.399
1175.28
579.006
1007.38
506.728
881.458
450.518
783.519
405.570
705.167
31
67'5.609
1175.56
579.186
1007.62
506.885
881.667
450.658
783.704
405.696
705.333
32
675.814
1175.83
579.362
1007.86
507.039
881.875
450.795
783.889
405.820
705.500
33
676.020
1176.11
579.539
1008.10
507.193
882.083
450.932
784.07'4
405.943
705.667
34
676.230
1176.39
579.719
1008.33
507.351
882.292
451.072
784.259
406.069
705.833
35
676.440
1176.67
579.899
1008.57
507.509
882.500
451.213
784.444
406.195
706.000
36
676.650
1176.94
580.079
1008.81
507.667
882.708
451.353
784.630
406.322
706.167
37
676.860
1177.22
580.259
1009.05
507.824
882.917
451.493
784.815
406.448
706.333
38
677.066
1177.50
580.435
1009.29
507.978
883.125
451.630
785.000
406.571
706.500
39
677.271
1177.78
580.611
1009.52
508.132
883.333
451.767
785.185
406.695
706.667
40
677.481
1178.06
580.792
1009.76
508.290
883.542
451.907
785.370
406.821
706.833
41
677.692
1178.33
580.972
1010.00
508.448
883.750
452.047
785.556
406.947
707.000
42
677.902
1178.61
581.152
1010.24
508.606
883 958
452.188
785.741
407.073
707.167
43
678.112
1178.89
581.332
1010.48
508.7'63
884.167
452.328
785.92C
407.199
707.333
44
678.322
1179.17
581.512
1010.71
508.921
884.375
452.468
786.111
407.326
707.500
45
678.532
1179.44
581.693
1010.95
509.079
884.583
452.608
786.296
407.452
707.667
46
678.738
1179.72
581.8651
1011.19
509.233
884.792
452.745
786.481
407.575
707.8:33
47
678.943
1180.00
582.045
1011.43
509.387
885.000
452.882
786.667
407.698
708.000
48
679.153
1180.28
582.225
1011.67
509.545
885.208
453.022
786.852
407.825
708.167
49
679.364
1180.56
582.405
1011.91
509.702
885.417
453.163
787.037
407.951
708.333
5O
679.574
1180.83
582.585
1012.14
509.860
885.625
453.303
787.222
408.077
708.500
51
679.784
1181.11
582.765
1012.38
510 018
885.8:33
453.443
787.407
408.203
708.667
52
679.994
1181.39
582.946
1012.62
510.17'.
886.042
458.588
787.593
408.330
708.833
53
680.204
1181.67
583 126
1012.86
510..')33
886.250
453.723
787.778
408.456
709.000
54
680.414
1181.94
583.306
1013.10
510.491
886.458
453.864
787.963
408.582
709.167
55
680.625
1182.22
583.486
1013.33
510.648
886.667
454.004
788.148408.708
709.333
56
680.830
1182.50
583.662
1013.57
510.802
886.875
454.141
788.333408.832
709.500
57
681.035
1182.78
583.838
1013.81
510.957
887.083
454.278
788.5191408.955
709.667
58
681.2461183.06
584.019
1014.05
511.114
887.292
454.418
788. 704 1409.081
1)9.833
59
187
TABLE XIV. — ACTUAL TANGENTS, ETC.
71°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
1ST
~~<F
Tan.
4086.90
Arc.
Tan.
Arc.
3550700
Tan. I Are.
i:^62l44!2:B667o7
Tan.
Arc.
Tan.
8177030
Arc.
7100.00
2043.53
1021.92
1775.00
1420.00
i
4088.16
7101.67
2044.16
3550.83
1362. 86 J23G7.22
1022.24
1775.42
817.882
1420.33
2
4089.42
7103.33
2044.79
3551.67
1363 28 '.'367.78
1022.55
1775.83
818.134
1420.67
3
4090.68
7105.00
2045.42
3552.50
1363.702308 .33
1022.87
1776.25
818.387
1421.00
4
4091.94
7106.67
2046.05
3553.33
1 364. I,! 2308. 89
1023.18
1776.67
818.039
1421.33
5
4093 20
7108.33
2046.68
3554.17
1364.542309.44
1023.50
1777.08
818.891
1421.67
6
4094.47
7110.00
2047.31
3555.00
1304.902370.00
1023.81 1777.50
819.143
1422.00
7
4095.73
7111.67
2047.94
3555.83
1365.382370.56
1024.13 1777.92
819.395
1422.33
8
4096.99
7113.33
2048.57
3550.67
1365.802371.11
1024.44 1778.33
819.648
1422.67
9
4098.25
7115.00
2049.20
3557.50
1366.222371.67
1024 70
1778.75
819.900
1423.00
10
4099.51
7116.67
2049.83
3558.33
1366.64
2372.22
1025.08
1779.17
820.152
1423.33
11
4100.77
7118.33
2050.46
3559.17
1367.00
2372.78
1025.39 1779.58
820. 404 i 1423. 67
12
4102.03
7120.00
2051.09
3560.00
1367.48
2373.33
1025.71 1780 00
820.050il424 00
13
4103.29
7121.67
2051 . 72
3560.83
1367.90
^375.89
1026.02 1780.42
820.908 1424.33
14
4104.55
7123.33
2052.35
3501 . 07
1308.32
2374.44
1020.34 1780.83
821.161
1424.67
15
4105.81
7125.00
2052.98
3->02.50
1368.74
2375.00
1020.051781.25
821.413
1425.00
16
4107.07
7126.67
2053.61
3503.33
1369.16
2375 . 50
1026.971781.07
821.605
1425.33
17
4108.33
7128.33
2054.24
3564.17
1369.58
2370.11
1027.2811782.08
821.917
1425.67
18
4109.59
7130.00
2054.87
3565.00
1370.00
2370.07
1027.60:1782.50
822.109
1420.00
19
4110.85
7131.67
2055.50
3565.83
1370.43
2377.22
1027.91
1782.92
822.422
1420.33
20
4112.11
7133.33
2056.13
3566.67
1370.85
2377.78
1028.23
1783.33
822.674
1426.67
21
4113.37
7135.00
2056.76
3507.50
1371.27
2378.33
1028.54 ! 1783. 15
822.920
1427.00
22
4114.63
7136.67
2057.39
3508.33
1371.09
2378.89
1028.861784.17
823.178
1427.33
23
1115.89
7138.33
2058.02
3569.17
1372.11
4379.44
1029. 17| 1784. 58
823.430
1427.67
34
1117.15
7140.00
20.)8.65
3570.00
1372.53
23 SO. 00
10^9.49;i785.00
823.682
1428.00
25
4118.42
7141.67
2059.28
3570.83
1372.95
2380.50
1029.80 1785.42
823.935
1428.33
2G
4119.6-!
7143.33
2059.91
3571.67
1373.37
2381.11
1030.12 1785.83
824.187
1428.07
27
4120.90
7145.00
2060.56
3572.50
1373.80
2381.67
1030.44 1780.25
824.445
1429.00
28
4122.2o
7146.6?
2061.20
3573.33
1374.23
2382.22
1030.70
1786.67
824.703s 1429. 33
29
1123.51
7148.33
2061.83
3574.17
1374.6.3
2382.78
1031.08
1787.08
824.955
1429.07
30
4124.78
7150.00
2062.46
3575.00
1375.07
2383.33
1031.39
1787.50
825.207
1430.00
31
4126.04
7151.67
2063.09
3575.83
1375.49
2333.89
1031.71
1787.92
825.459
1130.33
32
4127.30
7153.33
2)63.72
3576.67
1315.91
2384.44
1032.02
1788.33
825.711
1430.07
33
4128.56
7155.00
2064.35
3577.50
1376.33
2385.00
1032.34
1788.75
825.904
1431.00
34
4129.82
7156.67
2004.98
3578.33
1376.75
2335.56
1032.05
1789.17
826.216
1431.33
35
4131 08
7158.33
2065.61
3579.17
1377 17
2386.11
1032.97
1789.58
826.468
1431.07
36
4132.34
7160.00
2066.24
3580.00
1377.59
2386.67
1033.28
1790.00
826.720 1432.00
37
4133.63
7161.67
2066.89
3580.83
1378.02
2387.22
1033.01
1790.42
826. 978 jl 432. 33
38
4134.92
7103.33
2067.53
3581.67
1378.45
2387.78
1033.93
1790.83
827.230 1432.07
39
4136.18
7105.00
2068.10
3582.50
1378.87
2388.33
1034.24
1791.25
827.488
1433.00
40
4137.44
7166.67
2068.79
3583.33
1379.29
2388.89
1034.56
1791.67
827 740
1433.33
41
4138.70
7168.33
2069.42
3584.17
1379.71
2389.44
1034.87
1792.08
827.9921433.07
42
4139.96
7170.00
2070.06
3585.00
1380.13
2390. OH
1035.19
1792.50
828.245 1434.00
43
4141.22
7171.07
2070.69
3585.83
1380.55
2390.56
1035 51
1792.92
828.497 1434.33
44
45
4142.48
4143.77
7173.33
7175.00
2071.323580.07
2071.963-87.50
1380.97
1381.40
2391.11
2391.67
1035.82
1036.14
1793.33
1793.75
828.749 1431.07
829.007 1435 00
46
4145.06
7176.6?
2072. 60 3 188. 33
1381.83
2392.22
1030.47
1794.17
829.205 1435.33
47
4146.32
7178.33
2073.243589.17
1382.25
2392.78
1030.78
1794.58
829.517J1435.07
48
4147.58
7180.03
2073.87
3590.00
1382.67
2393.33
1037.10
179x00
829.769 1436.00
49
4148.84
7181.67
2074.50
3.J90.83
1383.09
2393.89
1037.41
1795.42
830.021
1436.33
50
4150.10
7183.33
2075.13
3591.67
1383 .51
2394.44
1037.73
1795.83
830.274
1436.67
51
4151.39
7185.00
2075.773592.50
1383.94
2395.00
1038.05 1796.25
830. 531 11437. 00
52
4152.68
7186.67
2076.423593.33
1384.37
2395.56
1038.37
1796.67
830.789 1437.33
53
4153.94
7188.33
2077.053594.17
13S4.79
2396.11
1038.09 1797. OS
831.042 1437.67
54
4155.20
7190. €0
2077.683595.00
1385.21
2390.67
1039.00 1797.50
831.2941438.00
55
4156.46
7191.67
2078.31 3595.83 1385.03
2397.22
1039.32 1797.92
831.546 1433.33
5G
4157.72
7193.33
2078.943596.67 1386.05
2397.78
1039.031798.33
831.798 1438.07
57
4159.01
7195.00
2079.583597.50 1386.48
2398.33
1039 951798.75
83 i. 056 1439.00
58
4160.30
7190.07
2080.233598.33 1380.91
2398.89
1040.28 1799.1?
832.314 1439.33
59
4161.56
7198.33
2080.863599.17 1387.33
2399.44
1040.59 1799.58
832.5001439.67
188
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
71°
Tan.
681.456
Arc.
1183.33
Tan.
Arc.
Tan.
511.272
Arc.
887.500
Tan.
Arc.
Tan.
Arc.
710.000
M.
~o"
584.199 1014.29
454.558
78S.889
409.207
881.666
1183.61
584.3791014.52511.430
887.708
454.698
789.074
409.334
710.167
1
681.876
1183.89
584. 559 !l014.76
511.587
887.917
454.839
789.259
409.460
710.333
2
68-3.086
1184.17
584.7391015.00511.745
888.125
454.979
789.444
409.586 710.500
3
682.297
1184.44
584.919 1015.24
511.903
888.333
455.119
789.630
409.712
710.667
4
682.507
1184.72
585.100 1015.48
512.060
888.542
455.259
789.815
409.838
710.833
5
68-2.717
1185.00
585.2801015.71
512.218
888.750
455.399
790.000
409.965
711.000
6
682.927
1185.28
585.460
1015.95
512.376
888.958
455.540
790.185
410.091
711.167
7
68,3.137
1185.56
585.640
1016.19
512.533
889.167
455.680
790.370
410.217
711.333
8
683.347
1185.83
585.820
1016.43
512.691
889.375
455.820
790.556
410.343
711.500
9
683.558
1186.11
586.001
1016.67
512.849
889.583
455.960
790.741
410.469
711 667
10
683.768
1186.39
586.181
1016.90
513.007
889.792
456.100
790.926
410.596
711.833
11
«83.»?8
1186.67
586. 361 11017. 14
513.164
890 000
456.241
791.111
410.722
712.000
158
684.188
1186.94
586.541
1017.38
513.322
890.208
456.381
791.296
410.848
712.167
13
684.398
1187.22
586.721
1017.62
513.480
890.417
456.521
791.481
410.974
712.333
14
684.609
1187.50
586.901
1017.86
513.637
890.625
456.661
791.667
411.100
712.500
15
684.819
1187.78
587.082
1018. 10!513. 795
890.833
456.801
791.852
411.227
712.667
16
685.029
1188.06
587.262
1018.33
513.953
891.042
456.942
792.037
411.353
712.833
17
685.239
1188.33
587.442
1018.571514. 110
891.250
457.082
792.222
411.479
713.000
18
685.449
1188.61
587.622
1018.81
514.268
891.458
457.222
792.407
411.605
713.167
19
685.659
1188.89
587.802
1019.05
514.426
891.667
457.362
792.593
411.732
713.333
20
685.870
1189.17
587.983
1019.29
514.583
891.875
457.502
792.778
411.8:8
713.500
31
686.080
1189.44
588.163
1019.52514.741
892.083
457.643
792.963
411.984
713.667
22
686.290
1189.72
58S.343
1019.76514.899
S92.292
457.783
793.148
412.110
713.833
23
686.500
1190.00
588.523
1020.00
515.057
892.500
457.923
793.333
412.236
714.000
24
686.710
1190.28
5S8.703
1020.24 515.214
892.708
458.063
793.519
412.363
714.167
25
686.921
1190.56
588.884
1020.48
515.372
892.917
458.203
793.704
412.489
714.333
26
687.135
1190.83
589.068
1020.71
515.533
893.125
458.347
793 889
412.618
714.500
27
687.350
1191.11
589.252
1020.95
515.694
893.333
458.490
794.074
412.747
714.667
2S
C87.561
1191.39
589.432
1021.19515.852
893.54-^
458.630
794.259
412.873
714.833
29
687.771
1191.67
589.612
1021.43516.010
893.750
458.771
794.444
412.999
715.000
30
687.981
1191.94
589.793
1021.67
516.168
893.958
458.911
794 630
413.1-<!6
715.167
31
688.191
1192.22
589.973
1021.90
516.325
894.167
459.051
794.815
413.252
715.333
32
688.401
1192.50
590.153
1022.14516.483
894.375
459.191
795.000
413.378
715.500
33
688.612
1192.78
590.333
1022.38516.641
894.583
459.331
795.185
413.504
715.667
34
688.822
1193.06
590.513
1022.62
516.798
894.792
459.472
795.370
413.630
715.8:33
35
689.032
1193.33
590.694
10C2.86
516 956
895.000
459.612
795.556
413.757
716.000
36
689.247
1193.61
590.87'8
1023.10517.117
895.208
459.755
795.741
413.886
716.167
37
689.462
1193.89
591.062
1023.33517.279
895.417
459.899
795.926
414.015
716.333
38
689.672
1194.17
591.242
1023.57
517.436
895.625
460.039
796.111
414.141
716.500
39
689.882
1194.44
591.422
1023.81
517.594
895.833
460.179
796.296
414.267
716.667
40
690.092
1194.72
591.603
1024.05517.752
896.042
460.319
796.481
414.393
716.833
41
690.303
1195.00
591 . 783
1024.29
517.909
896.250
460.459
796.667
414.520
7 7.000
43
690.513
1195.28
591.963
1024 52518.067
896.458
460.600
796.852
414.646
7 7.167
43
690.723
1195.56
592.143
1024 . 76
518.225
896.667
460.740
797.037
414.772
7 7.333
44
690.938
1195.83
592.327
1025.00
518.386
896.875
460.883
797.222
414 901
7 7.500
45
691.153
1196.11
592.512
1025.24 518.547
897.083
461.027
797.407
415.030
7 7.667
46
691.363
1196.39
592.692
1025.48
518.705
897. *92
461.167
797 59'-
415.156
7 7.833
47
691.573
1196.67
592.872
1025.71 518.863
897.500
461.307
797^778
415.283
718.000
48
691.783
1196.94
593.052
1025.95
519.020
897.708
461.447
797.963
415.409
718.167
49
691.994
1197.22
593.233
1026.19
519.178
897.917
461.587
798.148
415 535
718.333
5O
692.209
1197.50
593.417
1026.43
519.339
898.125
461.731
798.333
415.664
718.500
51
692.423
1197.78
593.601
1026.67
519.501
898.333
461.874
798.519
415.793
718.667
52
692.634
1198.06
593.781
1026.90519.658
898.542
462.014
798.704
415.919
718.833
53
692.844
1198.33
593.961
1027.14
519.816
898.750
462.155
798.889
416.046
71 9. (XX)
54
693.054
1198.61
594.142
1027.38519.974
898.958
462.295
799.074
416.172
719.167
55
tt»3 264
1198.89
594.322
1027.62
520.131
899.167
462.435
799.259
416.298
719.333
56
693.479
1199.17
594.506
1027.86
520.293
899.375
462.578
799.444
416.427
719.500
57
693.694
1190.44
594 . 690
1028.10
520.454
899.583
462.722
799.630
416.556719.067
58
693.904
1 1 99 . 72 594 . 87 1 i 1 028 . 33 520 .612 899 . 792 462 . 862
799.815
416. 682|719. 833
59
189
TABLE XIV. — ACTUAL TANGENTS, ETC.
72°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
Iwt7
Tan.
Arc.
7200.00
Tan.
Arc.
Tan.
Arc.
2400.00
Tan.
Arc.
Tan.
Arc.
0
4162. 82
2081.49
3600.00
1387.75
1040.91
1800.00
832.818
1440.00
1
4164.11
7201.67
2082.13
3600.83
1388.18
2400.56 1041.23
1800.42
833.076
1440.33
2
4165.40
7203.33
2082.78
3601.67
1388.61
V401.ll
1041 . 55
1800.83
833.334
1440.67
3
4166.66
7205.00
2083.41
3602.50
1389.03
2401.67
1041.87
1801.25
833.586
1441.00
4
4167.92
7206.67
2084.04
3603.33
1389.45
2402.22
1042.18
1801.67
833.838
1441.33
5
411J9.21
7208.33
2)84.68
3604.17
1389 88
2402.78
1042.50
1802.08
834.096
1441.67
G
4170.50
7210.00
2085.33
3605.00
1390.31
2403.33
1042 83
1802.50
834.354
1442.00
7
4171.76
7211.67
2085.96
3605.83
1890.78
2403.89
1043.14
1802.92
834.606
1442.33
8
4173.02
7213.33
2086.59
3606.67
1391.15
2404 . 44
1043.46
1803.33
884.859
1442.67
9
4174.31
7215.00
2087.23
3607.50
1391.58
2405.00
1043.78
1803.75
835.117
1443.00
1O
4175.60
7216.67
2087.88
3608.33
1392.01
2405.56
1044.10
1804.17
835.374
1443.33
11
4176.86
7218.33
2088.51
3609.17
1392.43
2406.11
1044.42
1804.58
835.627 1443.67
12
4178.12
7220.00
2089.14
3610.00
1392.85
2406.67
1044.73
1805.00
835.879 1444.00
13
4179.41
7221.67
2089.78
3610.83
1393.28
2407.22
1045.05
1805.42
836.137
1444.33
14
4180.70
7223.33
2090.42
3611.67
1393.71
2107.78
1045.38
1805.83
836.395
1444.67
15
4181.96
7225.00
•'091.06
3612.50
1394.13
2408.33
1045.69
1806.25
836.647
1445.00
16
4183.22
7226.67
2091.69
3613.33
1394.55
2408.89
1046.01
1806.67
836.899
1445.33
17
4184.51
7228.33
2092.33
3614.17
1394.98
2409.44
1046.33
1807.08
837. 1 57 ! 1445. 67
18
4185.80
7230.00
2092.97
3615.00
1395.41
2410.00
1046.65
1807.50
887.4151446.00
19
4187.08
7231.67
2093.62
3615.83
1395.84
2410.56
1046.97
1807.92
837.673
1446.33
20
4188.37
7233.33
2094.26
3616.67
1396.27
2411.11
1047.30
1808.33
837.931
1446.67
21
4189.63
7235.00
2094.89
3617.50
1396.69
2411.67
1047.61
1808.75
838.183
1447.00
22
4190.90
7236.67
2095.52
3618.33
1397.11
2412.22
1047.93
1809.17
838.435
1447.33
23
4192.18
7238.33
2096.17
3619.17
1397.54
2412.78
1048.25
1809.58
838 693
1447.67
24
4193.47
7240.00
,5096.81
3620.00
1397.97
2413.33
1048.57
1810.00
838.951 1448.00
25
4194.76
7241.67
2097.46
3620.83
1398.40
2413.89
1048.89
1810.42
839.209
1448.33
26
4196.05
7243.33
#88.10
3621.67
1398.83
2414.44
1049.22
1810.83
839.467
1448.67
27
4197.31
7245.00
2098.73
3622.50
1399.25
2415.00
1049.53
1811.25
839 719
1449.00
28
4198.57
7246.67
2099.36
36*3.33
1399.67
2415.56
1049.85
1811.67
839.971
1449.33
39
4199.86
7248.33
2100.01
3624.17
1400.10
2416.11
1050.17
181.2.08
840.229
1449.67
30
4201 . 15
7'250.00
2100.65
3625.00
1400.53
2416.67
1050.49
1812.50
840.487
1450.00
31
4202.44
7251.67
2101.30
•1625.83
1400.96
2417.22
1050.81
1812.92
840.745
1450.33
32
4203.73
7253. 33
2101.94
3626.67
1401.39
2417.78
1051.14
1813.33
841.003
1450.67
33
4205.0^
7255.00
2103.59
3627.50
1401.82
2418.33
1051 46
1813.75
841.261
1451.00
34
4206.31
7256.67
2103.23
3628.33
1402.25
2418.89
1051.78
1814.17
841.519
1451.33
35
4207.57
7258.33
2103.86
3629.17
1402.67
2419.44
1052.10
1814.58
841.771
1451.67
36
4208.83
7260.00
2104.49
3630.00
1403.09
2420.00
1052.41
1815.00
842.023
1452.00
37
4210.12
7261.67
2105.14
3630.83
1403.52
2420.56
1052.73
1815. 4-J
842.281
1452.33
38
4211.41
7263.33
2105.78
3631.67
1403.95
2421.11
1053.06
1815.83
842.539
1452.67
39
4212.70
7265.00
2106.43
3032.50
1404.38
2421.67
1053.38
1816.25
842.797
1453.00
4O
4213.99
7266.67
2107.07
3633.33
1404.81
2422.22
1053.70
1816.67
843 055
1453.33
41
4215.27
7268. 3 i
2107.71
3634.17
1405.24
2422.78
1054.02
1817.08
843 312
1453.67
42
4216.56
7270.00
2108.36
3635.00
1405.67
2423.33 1054.35
1817.50
843.570
1454.00
43
4217.85
7271.67
2109.00
3635.83
1406.10
2423.89
1054.67
1817.92
843.828
1454.33
44
4219.14
7273.33
2109.65
3636.67
1406.53
2424.44
1054.99
1818.33
844 086
1454.67
45
4220.40
7275.00
;110.28
3637.50
1406.95
2425.00
1055.31
1818.75
844 338
1455.00
46
4221.66
7276.67
.'110.91
3638.33
1407.37
2 425. 56 1055.62
1819.17
844.591
1455.33
47
4222.95
7278.33
2111 55
3639.17
1407.80
2426.11
1055 9411819.58
844. 84S
1455.67
48
4224 24
7280.00
2112.20
3640.00
1408.23
2426.67
1056.27
1820.00
845.106
1456.00
49
4225.53
7281.67
2112.84
3640.83
1408.66
2427.22
1056.59
1820.42
845.364
1456.33
50
4226.82
7283.33
•2113.49
3641.67
1409.09
2427.78
1056.91
1820.83
845.622
1456.67
51
4228.11
7385. ft)
2114.13
3642.50
1409.51
2428.33 1057.23
1821.25
845.880
1457.00
53
422!). 40
7286. (57
2114.78
3643.33
1409.94
2428.89 1057.55
1S21.67
846.138
1457.33
53
4230.61)
7288.83
2115 42
3644.17
1410.37
2429.441057.88
1822.08
846.31)6
1457.67
54
4231.98
7290.00
2116.07
3645.00
1410.80
2430.00 1058.20
1822.50
S46.654
1458.00
55
4233.27
7291.67
2116.71
3645.83
1411.23
2430.56 1058.52
1822.92
846.912
1458.33
56
4234.56
7293,33
2117.36
3646.67
1411.66
2431.11 1058 84
1823.33
847.170
1458.67
57
4235.84
7295.00
2118.003647.50
1412.09
2431.67 1059.17
1823.75
847.428
1459.00
58
4237.13
7296 67
2118.64 3648.33
1412.52
2432.22 1059 49
1824.17
847.686
1459.33
59
4238.42
7298. 33 12119. 29 36 49. 17
1412.95
2432.78 1059.81
1824 58
847. 943! 1459. 67
190
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
73°
Tari.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
694.114
1200.00
595.051
1028.57
520.769
900. 001
463.00-J
soo.ooo
416.805
720. 00(
Q~
694.329
1200.28
595.235
1028.81
520.931
900.208
463.145
800.185
416.938
720.167
1
694.544
1200.56
595.419
1029.05
521.092
900.417
463.289
800.370
417.067
720.333
2
694.755
1200.83
595.599
1029.29
521.250
900.625
463.429
800.556
417.193
720.501
3
694.965
1201.11
595.780
1029.52
521.407
900.833
463.569
800.741
417.319
720.667
4
695.180
1201.39
595.964
1029.76
521.569
901.042
463.713
800.926
417.448
720.833
5
695.395
1201.67
596.148! 1030. 00
521.730
901.250
463.856
801.111
417.577
721.000
6
695.605
1201.94
596.328
1030.24
521.887
901.458
463.996
801. 29b
417.704
721.167
7
695.815
1202.22
596.509
1030.48
522.045
901.607
464.13(5
801.481
417.830
721.333
8
696.030
1202.50
596.693
1030.71
522.206
901.875
464.280
801.667
417.959
721.500
9
696.245
1202.78
596.877
1030.95
522.368
902.083
464.423
801.852
418.088
721.667
1O
696.455
1203.06
597.057
1031.19
522.525
902.292
464.563802.037
418.214
721.833
11
696. 665! 1203. 33
597.238
1031.43
522.683902.500
464.704
802.222
418.340
722.000
696.880
1203.61
597.4221031.67
522.844902.708
464.847
802.407
418.470
722.167
13
697.095
697.305
1203.89
1204.17
597.606 1031.9U
597. 786*1032.14
523.006902.917
523.163903.125
464.990
465.131
802.593
802.778
418.599
418.725
722.333
722.500
14
15
697.516
1204.44
597 966
1032.38
523.321
903.333
465.271
802.963
418.851
722.667
16
697.731
1204.72
598.151
1032.62
523.482
903.542
465.414
803.148
418.980
722.833
17
697.946
1205.00
598.335
1032.86
523.644903.750
465.558
803.333
419.109
723.000
18
698.160
1205.28
598.519
1033.10
523.805
903.958
465.701
803.519
419.238
723.167
19
698.375
1205.56
598.704
1033.33
523.966
904.167
465.844
803.704
419.367
723.333
20
698.586
1205.83
598.884
1033.57
524.124
904.375
465.985
803.889
419.494
723.500
21
69S.796
1206.11
599.064
1033.81
524.282904.583
466.125
804.074
419.620
723.667
22
699 01 1
1206.39
599.248
1034.05
524.443
904.792
466.268
804.259
419.749
723.833
23
699.226
1206.6;
599.432
1034.29
524.604905.000
466.411
804.444
419.878
724.000
24
699.441
1206.94
599.617
1034.52
524.765905.208
466.555
804.630
420.007
724.167
25
699.656
1207.22
599.801
1034.76
524.927
905.417
466.698
804.815
420.136
724.333
26
699.866
1207.50
599.981
1035.00
525.084
905.625
466.838
805.000
420.262
724.500
27
700.076
1207.78
600.161
1035.24
525.242
905.833
466.979
805.185
420.389
724.667
28
700.291
1208.06
600.346
1035.48
525.403
906.042
467.122
805.370
420.518
724.833
29
700.506
1208.33
600.530
1035.71
525.565
906.250
467.265
805.556
420.647
725.000
30
700.721
1208.61
600.714
1035.95
525.726
906.458
467.409
805.741
420.776
725.167
31
700.93(5
1208.89
(500.899
1036.19
525.887
906.667
467 552
805.926
420.905
725.333
32
701.151
1209.17
601.083
1036.43
526.048906.875
467.696
806.111
421.034
725.500
33
701.366
1209.44
601.267
1036.67
526.210
907.083
467.839
806.296
421.163
725.667
34
701.576
1209.72
601.447
1036.90
526.367
907.292
467.979
806.481
421.289
725.833
35
701.786
1210.00
601.627
1037.14
526.525
907.500
468 119
806.667
421.415
726.000
36
702.001
1210.28
601.812
1037.38
526.686907.708
468.263
806.852
421.544
726.167
37
702 216
1210..r>6
601 . 996
1037.62
526.848
907.917
468.406
807.037
421.674
726.333
38
702.431
1210.83
602.180
1037.86
527.009
908.125
468.550
807.222
421.803
7'26.500
39
702.646
1211.11
602.365
1038.10
527.170
908.333
468.693
807.407
421.932
726.667
4O
702.861
1211.39
602.549
1038.33
527. 331 1908.542
468 836
807.593
422.061
726.833
41
703.076
1211.67
602.733
1038.57
527.493908.750
468.980
807.778
422.190
727.000
42
703.291
1211.94
602.917
1038.81
527.654
908.958
469.123
807.963
422.319
7'27.167
43
703.506
1212.2-J
603.102
1039.05
527.815909.167
469.266
808.148
422.448
727.333
44
7r3 716
1212.50
603.282
1039.29
527.973
909.375
469.407
808.333
422.574
727.500
45
703.926
1212.78
603.462
1039.52
528.131
909.583
469.547
808.519
422.700
727.667
46
704.141
1213.06
603.646
1039.76
528.292909.792
469.690
808.704
422.830
727.833
47
704.356
1213.33
603.831
1040.00
528.453
910.000
469.834
808.889
422.959
728.000
48
7'04.571
1213.61
604.015
1040.24
528 614 910.20S
469.977
809.074
423.088
728.167
49
704.786
1213.89
604.199
1040.48
")28. 776 910. 41 7
470.120
809.259
423.217
728.333
5O
705.001
1214.17
604.383
1040.71
528.937
910.625
470.264
809.444
423.346
728.500
51
705.216
1214.44
604.568
1040.95
529.098910.833
470.407
809.630
423.475
728.667
52
705.431
1214.72
504.752 1041.19
529.260
911.042
470 551
809.815
423.604
728.833
53
705.646
1215.00
604.936 1041.43
529.421
911.250
470.694
810.000
423.733
729.000
54
705.861
1215.28
605.121 1041.67
529.582911.458
470.837
810.185
423.862
729.167
55
706.076
1215.56
605.30511041.90
529 743
911.667
47X3.981
810.370
423.991
729.333
56
706 291
1215.83
605.4891042.14
529.905911.875
471.124
810.556
424.120
729.500
57
706.506
1216.11
605. 6731 042. 38 530. 066
912.083
471.267
810.741
424.249
729.667
58
706 721 1216.39
605.858 1042.62 530.227
912. 2921471. 411
810.926
424.379
729.833
59
191
TABLE XIV.— ACTUAL TANGENTS, ETC.
73°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M7
Tail.
Arc.
Tan.
Are.
Tan.
Arc.
Tau. Arc. Tun.
Arc.
~~o
4239.71 7300.00
2119.93
3650.66
1413.38
2433.33
1060.13 1825.00848.201
1460.00
1
4-241.007301.67
2120.58
3650.83
1413.81
2433.89
1060.46 1825.42848.459
1460.33
3
4242.29
7303.33
2121.22
3651.67
1414.24
2434.44
1060.78 1825.83848.717
1460.67
3
4 -343.58
7305.00
2121.87
3652.50
1414.67
2435.00
1061.10
1826.25
848 975
1461.00
4
4214.87
7306.67
2122.51
3653.33
1415.10
2435.56
1061.42
1826.67
849.233
1461.33
5
4-240.16
7308.33
2123.16
3654.17
1415.53
2436.11
1061.75
1827.08849.491
1461.67
6
4247.45
7310.00
2123.80
3655.00
1415.96
2436.67
1062.07
1827.50849.749
1462.00
7
4248.74
7311.67
2124.45
3655.83
1416.39
2437.22
1062.39
1827. 92! 850. 007
1402.33
8
4250 03
7313.33
2125.09
3656.67
1416.82
2437.78
1062.71
1828.33
850.265
1462.67
9
4251.31
7315.00
2125.74
3657.50
1417.25
2438.33
1063.03
1828.75
850.523
1463.00
1O
4252.60
7316.67
2126.38
3658.33
1417.68
2438.89
1063.36
1829.17
850.780
1463.33
11
4253.92
7318.33
2127.04
3659.17
1418.12
2439.44
1063.69 1829.58
851.044
1463.67
13
4255.24
7320.00
2127.70
3660.00
1418.56
2440 00
1064.02 1830.00
851.308
1464.00
13
4256.53
7321.67
2128.34
3660.83
1418.99
2440.56
1064.34 1830.42
851.566
1464.33
14
4257.82
7323.33
2128.99
3661.67
1419.42
2441.11
1064.66 1830.83
851.824
1464.67
15
4259.11
7325.00
2129.63
3862.50
1419.85
2441.67
1064.981831.25
852.082
1465.00
1(5
4260.40
7326.67
2130.28
3663.33
1420.28
2442.22
1065. 31! 1831. 67
852.339
1465.33
17
1261.69
7328.33
2130.92
3664.17
1420.71
2442.78
1065.63 1832.08
852.597
1465.67
18
4262 . 97
7330.00
2131.57
3665.00
1421.14
2443.33
1065.95 1832.50
852.855
1466.00
19
4264.26
7331.67
2132.21
3665.83
1421.57
2443.89
1066.27
1832.92
853.113
1466.33
30
4265.55
7333.33
2132.85
3666.67
1422.00
2444.44
1066.59
1833.33
853.371
1466.67
21
4266.84
7335.00
2133.50
3667.50
1422.43
2445.00
1066.92 1833.75
853.629
1467.00
a 3
4268.13
7336.67
2134.14
3668.33
1422.86
2445.56
1067.24 1834.17
853.887
1467.33
33
4269.45
7333.33
2134.80
3669.17
1423.30
2446.11
1067.57 1834.58
854.151
1467.67
34
427'0.77
7310.00
2135.46
3670.00
1423.74
2446.67
1067.90 1835.00
854.414
1468.00
25
4272.06
7341.67
2136.11
3670.83
1424.17
2447.22
1068.22 1835.42
854.672
1468.33
36
4273.34
7343.33
2136.75
3671.67
1424.59
2447.78
1068.54 1835.83
854.930
1468.67
37
4274.63
7345.00
2137.40
3672.50
1425.02
2448.33
1068.87 1836.25
855.188
1469.00
38
4275.92
7346.67
2138.04
3673.33
1425.45
2448.89
1069.19 1836 (37
855.446
1469.33
39
4277.24
7348.33
2138.70
3674.17
1425.89
2449.44
1069.52
1837.08
855.709
1469.67
30
4278.56
7350.00
2139.36
3675.00
1426.33
2450.00
1069 85
1837.50
855.973
1470.00
31
4279.85
7351.67
2140.00
3675.83
1426.76
2450.56
1070.17
1837.92
856.231
1470.33
32
4281.14
7353.33
2140.65
3676.67
1427.19
2451.11
1070.49
1838.33
856.489
1470.67
33
4282. 4H
7355.00
2141.29
3677.50
1427.62
2451.67
1070.81
1838.75
856.747
1471.00
34
4283.72
7356.67
2141.94
3678.33
1428.05
2452.22
1071.14
1839.17
857.005
1471.33
35
4285.03
7358.33
2142.60
3679.17
1428.49
2452.78
1071.47
1839.58
857.268
1471.67
36
4286.35
7360.00
2148.25
3680.00
1428.93
2453.33
1071.801840.00
857.532
1472.00
37
4287.61
7361.67
2143.90
3680.83
1429.36
2453 . 89
1072.12
1840.42
857.790
1472.33
38
4288.93
7363.33
2144.54
3681.67
1429.79
2454.44
1072.44
1840.83
858.048
1472.67
39
4290.22
7365.00
2145.19
3682.50
1430.22
2455.00
1072.76
1841.25
858.306
1473.00
4O
4291.51
7366.67
2145.83
3683.33
1430.65
2455.56
1073.08
1841.67
858 564
1473.33
41
4292.83
7368.33
2146.49
3684.17
1431.09
2456.11
1073.41
1842.08
858.827
1473.67
43
4294.14
7370.00
2147.15
3685.00
1431.53
2456.07
1073.74
1842.50
859.091
1474.00
43
4295.43
7371.67
2147.80
3685.83
1431.96
2457.22
1074.07
1842.92
859.349
1474.33
44
4296.72
7373.33
2148.41
3686.67
1432.39
2457.78
1074.39
1843 33
859.607
1474.67
45
4298.01
7375.00
2149.10
3687.50
1432.83
2458.33
1074.72
1843 75
859.870
1475.00
46
4299. 3t>
7376.67
2149.76
3688.33
1433.27
2458.89
1075.05
1844.17
860.134
1475.33
47
4300.65
7378.33
2150.40
3689.17
1433.70
2459.44
1075.37
1844.58
860.392
1475.67
48
4301.94
7380.00
2151.05
3690 00
1434.13
2460.00
1075 69
1845.00
860.650
1476.00
49
4303.25
7381.67
2151.71
3690. 83 '1434. 57
2460.56
1076.02
1845.42
860.914
1476.33
5O
4304.57
7383.33
2152.36
3691 67
1435.00'24G1.11
1076.35
1845.83
861.177
1476.67
51
4305.86
7385.00
2153.01 3692.50
1435. 43 [246 1.67
1076.67
1846.25
861.435
1477.00
53
1307. 15
7386.67
2153.65
369 >. :-!3
1435.862462.22
1077.00
1846.67861.693
1477.33
53
4308.47
7388.33
2154.31
3694.17
1436.302462.78
1077.33
1847. 08801. 1)57
1477.67
54
55
4309.797390.00J2154.97
43H.Or 7391.672155.62
3695.00
3695.83
1436.74:2463.33
1437.172463.89
1077.66 1847.50:862.220
1077.9811847.928(12 478
1478.00
1478.33
56
4312.367393.332156.26
3696.67
1437.602464.44
1078. 30 11848.33 862. 7 36
1478.67
57
4313.68 7395.002156.92
3697.50
1438.042465.00
1078.63 1848.75 863. 000
1479.00
58
4315.007396.672157.58
3698.33
1438.482465.56
1078.96 1849.17.S63.2G3
1479.33
59
4316 29 7398.33 21 58. 22i 3699. 17
1438.91 2466.11
1079.28 1849. 58 1863. 521
1479.67
193
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
73°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
roe. 930
1210.07
t506.04ii
1042.86
530.388
912.500
471.554
811.111
424.508
730.000
0
707.150
1210.94
000.220
1043.10
530.550
912.708
471.698
811.296
424.637
730.167
1
707.305
1217.22
000.411
1043.33
530.711
912.917
471.841
811.481
424.766
730.333
2
707.680
1217.50
000 . 595
1043.57
530.872
913.125
471.984
811.667
424.895
730.500
3
707.795
1217.78
006.771)
1043.81
531.034
913.333
472.128
811.852
425.024
730.667
4
70S. 010
1218.06
606.963
1044.05
531 . 195
913.542
472.271
812.037
425.153
730.833
5
708.225
1218.33
607.1-18
1044.29
531.356
913.750
472.415
812.222
425.282
731.000
6
708.440
1218.61
607.332
1044.52
531.517
913.958
472.558
812.407
425.411
731.167
7
708.656
1218.89
007.510
1044.70
531.679
914.167
472.701
812.593
425.540
731.333
8
708.870
1219.17
607.701
1045.00
531.840
914.375
472.845
812.778
425.669
731.500
9
709.085
1219.44
607.885
1045.24
532.001
914.583
472.988
812.963
425.798
731.667
10
709 305
1219.72
008.073
1045.48
532.166
914.792
473.135
813.148
425.930
731.833
11
709.525
1220.HO
008 . 202
1045.71
532.331
915.000
473.281
813.333
426.062
732.000
12
709.740
1220.28
008.440
1045.95
532.492
915.208
473.425
813 519
426.191
732.167
13
709.955
1220.50
008.030
1046.19
532.654
915.417
47'3.568
813.704
426.320
732.333
14
710.161)
1220.83
008.814 1016.43
532.815
915.625
473.711
813.889
426.450
732.500
15
710.384
1221.11
008 999 1046.67
532.976
915.833
473.855
814.074
426.579
732.667
16
710 599
1221.39
009.183 1046.90
533.137
916.042
473.998
814.259
426.708
732.833
17
710.814
1221.07 009.30711047.14
533.299
916.250
474.142
814.444
426.837
733.000
18
711.029
1221.94
009.551 1047.38
533.460
916.458
474.285
814.630
426.966
733.167
19
711.244
1222 22
609.73611047.62
533.621
916.667
474.428
814.815
42". 095
733.333
20
711.459
1222.50 009.920
1047.86
533.782
916.875
474.572
815.000
427 227
733.500
21
711.074
1222.78610.104
1048.10
533.944
917.083
474.715
815.185
42". 359
733.667
22
711.894
1223.00010.293
1048.33
534.109
917.292
474.862
815.370
42". 488
733.833
23
712.114
1223.33 010.481
1048.57
534.273
917.500
475.008
815.556
42". 017
734.000
24
712.331
1223.01 010.005
1048.81
534 435
917.708
475.152
815.741
42". 746
734.167
25
71:2.544
1223.89 010.850
1049. (5
534.596
917.917
475.295
815.926
42". 875
734.333
26
712.759
1224.17 Oil. 034
1049.29
534. 7 o7
918.125
475.438
816.111
428 004
734.500
27
712.973
1224. 441011.218
1049.52
534. 91 U
918.333
475.582
816.290
428.133
734.667
28
713.193
1224.72
011.407
1049.76
535.083
918.542
475.728
810.481
428.265
734.833
29
713.413
1225.00
611.595
1050.00
5a5.248
918.750
475.875
816.667
428.397
735.000
30
713.028
1225.28
611.779
1050.24
535.410
918.958
476.018
816.852
428.526
735.167
31
713.843
1225.50
611.904
1050.48
535.571
919.167
476.162
817.037
428.655
735.333
32
714.058
1225.83
612.148
1050.71
535.732
919.375
470.305
817.222
428 784
735.500
33
714.273
1226 11
612.332
1050.95
535.893
919.583
470.448
817.407
428.914
735.667
34
714.493
1226.39
612.520
1051.19
536.058
919.792
470.595
817.593
429.045
735 833
35
714 712
1226.07
612.709
1051.43
536.223
920.000
476.742
817.778
429.177
736.000
36
714.927
1226.94
612.893
1051.67
536.384
920.208
476.885
817.963
429.307
736.167
37
715.142
1227.22
613.077
1051.90
536 546
920.417
477.028
818.148
429.436
736.333
38
715.357
1227.50
613.262
1052.14
536.707
920.625
477.172
818.333
429.565
736.500
39
715.572
1227.78
613 446
1052.38
536.868
920.833
477.315
818.519
429.694
736.667
40
715.792
1228.06
613.634
1052.62
537.033
921.042
477.462
818.704
429.826
736.833
41
716.012
1228.33)613.823
1052.86
537.198
921.250
477.608
818.889
429.958
737.000
42
710.227
1228.61 614.007
1053.10
537.359
921.458
477.7-52
819.074
430.087
737.167
43
716.441
1228.89614.191
1053.33
537.520
921.667
477.895
819.259
430.216
737.333
44
716.661
1229.17614.380
1053.57
53 T. 685
921.875
478.042
819.444
430.348
737.500
45
716.881
1229.44 614.568
1053.81
537.850
922.083
478.188
819.630
430.480
737.667
46
717.090
1229.72614.752
1054.05
538.011
922.292
478.332
819.815
430.609
737.833
47
717.311
1230.00614.937
1054. 29 1538.173
922.500
47'8.475
820.000
430.738
738.000
48
717.531
1230.28
615.125
1054.52
538.338
922.708
478.622
820.185
430.870
738.167
49
717.750
1230.56
615.313
1054.76
538.502
922.917
478.768
820.370
431.002
738.333
5O
717.905 1230.83 015.498
1055.00 53S.664
923.125
478.912
820.556
431.131
7'38.500
51
718.180I1231.11 015.082
1055.24538.825
923.333
479.055
820.741
431.260
738.667
52
718.400 12.11.39015.870
1055.48538.900
923.542
479.201
820.926
431.392
738.833
53
718.020,1231.07016.059
1055.71 539.155
923.750
479.348
821.111
431.524
739.000
54
718 83511231.94:616.213
1055.95 539.310
923.958
479.491
821.296
431.653
739.167
55
719.050 1232.22610.427
10:>6.19539.477
924.167
479.635
821.481
431.782
739.333
56
719.209 1232.50010.610
1056.43539.642
924.375
479.781
821.067
431.914
739.500
57
719.489 1232.78616.804
1056.67539.807
924.583
479.928
821.852
432.046
739.667
58
719.704 1233.06 616.988 1056.90 539. 968 1924. 792
480.071
822.037
432.175
739.833
59
193
TABLE XIV. — ACTUAL TANGENTS, ETC.
740
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
4317.58
Arc.
7400.00
Tan.
Arc.
3700.00
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
2158.87
1439.34
2466.07
1 07 9 . GO 1 <S5u . 00 i t>63 . 77'9
1480.00
1
4318.90
7401.67
2159.53
3700.83
1439.78
2467.22
1 07 9. 93 i 1850. 42 864. 043
1480.33
2
4320.21
7403 33
2160.19
3701.67
1440.22
2467.78
1080.26
1850.83864.307
1480.07
3
4821.58
7405.00
2160.84
3702.50
1440.66
2468.33
1080.59
1851. 25 864. 570
1481.00
4
4322.85
7'406.67
2161.50
3703.33
1441.10
2468.89
1080.92
1851.67864.834
1481.33
5
4324.14
7408.33
2162.15
3704.17
1441.53
2469.44
1081.24
1852.08865.092
1481.67
0
7
4325.43
4326 75
7410.00
7411.67
2162.79
2163.45
3705.00
3705.83
1441.96
1442.40
2470.00
2470.56
1081.57
1081.90
1852.50865.350
1852.92865.613
1482.00
1482.33
8
4328.06
7413 33
2164.11
3706.67
1442.84
2471.11
1082.23
1853. 33 1865.877
1482.67
9
4329.38
7415.00
2164.77
3707 50
1443.28
2471.67
1082.55
1853.75
866.141
1483.00
10
4330.70
7416 67
2165.43
3708.33
1443.71
2472.22
1082.88
1854.17
866.404
1483.33
11
4331.99
7418.33
3166.07
3709.17
1444.14
2472.78
1083.21
1854.58
866.6(52
1483.67
12
4333.28
7420.00
2166.72
3710.00
1444.57
2473.33
1083.53
1855.00
866.920
1484.00
13
4334 59
7421.67
2167.38
3710.83
1445.01
2473.89
1083.86
1855.42
867.184
1484.33
14
4335.91
7423.33
2168.04
3711.67
1445.45
2474.44
1084.19
1855.83867.447
1484.67
15
4337.23
7425.00
2168.69
3712.50
1445.89
2475.00
1084.52
1856.25867.711
1485.00
16
4338.55
7426.67
2169.35
3713.33
1446.33
2475 56
1084.85
1856.67
867.975
1485.33
17
4339.87
7428.33
2170.01
3714.17
1446.77
2476.11
1085.18
1857.08
868.238
1485.67
18
4341.18
7430.00
2170.67
3715 . 00
1447.21
2476.67
1085.51
1857.50
868.502
1486.00
19
4342.47
7431.67
2171.32
3715.83
1447.64
2477.22
1085.83
1857.92
868.760
1486.33
20
4343.76
7433.33
2171.96
3716.67
1448.07
2477.78
1086.15
1858.33
869.018
1486.67
21
4345.08
7435.00
2172.62
3717.50
1448.51
2478.33
1086.48
1858.75
869.281
1487.00
22
4346.40
7436.67
2173.28
3718.33
1448.95
2478.89
1086.81
1859.17
869.545
1487.33
23
4347.72
7438.33
2173.94
3719.17
1449.39
2479.44
1087.14
1859.58
869.809
1487.67
24
4349.03
7440.00
2174.60
3720.00
1449.83
2480.00
1087.47
1860.00
870.072
1488.00
25
4350.35
7441.67
2175.26
3720.81
1450.27
2480.56
1087.80
1860.42870.336
1488.33
26
4351.67
7443.33
2175.91
3721.67
1450.71
2481.11
1088.13
1860.83
870.600
1488.67
27
4352.99
7445.00
2176.57
3722.50
1451.15
2481.67
1088.46
1861 25
870.863
1489.00
28
4354.30
7446.67
2177.23
3723.33
1451.58
2482.22
1088.79
1801.67871.127
1489.33
29
4355.62
7448.33
2177 89
3724.17
1452.02
2482.78
1089.12
1862.08
871.391
1489.67
3O
4356.94
7450.00
2178.55
3725.00
1452.46
2483.33
1089.45
1862.50
871.654
1490.00
31
4358.26
7451.67
2179.21
3725.83
1452.90
2483.89
1089.78
1862. 92 ; 871. 918
1490.33
32
4359.58
7453.33
2179.87
3726.67
1453.34
2484.44
1090.11
1S63.33872.182
1490.67
33
4360.89
7455.00
2180.53
3727.50
1453.78
2485.00
1090.43
18(53.75872.445
1491.00
34
4362.21
7456.67
2181.19
3728.33
1454.22
2485.56
1090.76
1 864. 17 ! 872. 709
1491.33
35
4363.53
7458.33
2181.84
3729.17
1454.66
2486.11
1091.09
1864.58872.972
1491.67
36
4364.85
7460.00
2182.50
3730.00
1455.10
2486.67
1091.42
1865.00873.236
1492.00
37
4366.17
7461.67
2183.16
3730.83
1455.54
2487.22
1091.75
1865.42873.500
1492.33
38
4367.48
7463.33
2183.82
3731.67
1455.98
2487.78
1092.08
1865.83 873.763
1492.67
39
4368.80
7465.00
2184.48
3732.50
1456.42
2488.33
1092.41
1866.25
874.027
1493.00
40
4370.12
7466.67
2185.14
3733.33
1456.86
2488.89
1092.74
1866.67
874.291
1403.33
41
4371.44
7468.33
2185.80
3734.17
1457.30
2489.44
1093.07
1867.08874.554
1493.67
42
4372.75
7470.00
2186.45
3735.00
1457.73
2490.00
1093.40
1867. 50 874. 818
1494.00
43
4374.07
7471.67
2187.12
3735.83
1458.17
2490.56
1093.73
1867.92875.082
1494.33
44
4375.39
7473.33
2187.78
3736.67
1458.61
2491.11
1094.06
1868.33875.345
1494.67
45
4376.71
7475.00
2188.43
3737.50
1459.05
2491.67
1094.39
1868.75875.609
1495.00
46
4378.03
7476.67
2189.09
3738.33
1459.49
2492.22
1094.72
1869.17875.873
1495.33
47
4379. 34
7478.33
2189.75
3739.17
1459.93
2492.78
1095.05
1869.58876.136
1495.07
48
4380.66
7480.00
2190.41
3740.00
1460.37
2493.33
1095.38
1870.00876.400
1496.00
49
4381.98
7481.67
2191.07
3740.83
1460.81
2493.89
1095.71
1870.42876.663
1496.33
5O
4383.30
7483.33
2191.73
3741.67
1461.25
2494.44
1096 04
1870.83876.927
1496.67
51
4384.61
7485.00
2192.39
3742.50
1461.69
2495.00
i one. 37
1871.25877.191
1407.00
52
4385 93
7486.67
2193.05
3743.33
1462.13
2495.5(5
1096.70
1871.67877.454
1497.33
53
4387.25
7488.33
2193 71
3744.17
1462.57
2496.11
1097 03
1872.08877.718
1497.67
54
4388.57
7490.00
2194.36
3745.00
1463.0!
2496.67
1097.35
1872.50877.982
1498.00
55
4389.89
7491.67
2195.02
3745.83
1463.45
2497.22
1097.68
1872.92878.245
1498.83
56
4391.20
7493.33
2195.68
3746.67
1468.80
2497.78
1098.01
1873.33878.509
14 98. (57
57
4392.52
7495.00
2196.34
3747.50
1464.3-2
2498.33
1098.34
1873.75878.773
1400 00
58
59
4393.84
4395.19
7496.67
7498. 33
2197.00
2197.67
3748.33
3749.17
1464.76
1465.21
2498.89
2499.44
1098.67
1099.01
1 874. 1 7 879. 036 j 1499. 33
1874.58879.30611499.07
194
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
74°
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
71 9. U 19 '1233. 33
617.172
1057.14
540.130
925.000480.215
822.222
432.304
740.000
O
720.139 1.233.61
617.361
1057.38
540.294
925.208480.361
822.40?
432.436
740.1(57
1
720.358 .1233. 89
617.549
1057.62
540.459
925.417480.508
822.593
432.568
740.333
2
720.578 1234.17
617. 788
1057.86
540.624
925.625480.654
822.778
488.700
740.500
3
720.798:1234.44
617.926
1058.10
540.789
925.833480.801
822.963
43 J. 832
740.667
4
721.013 1234.72
618.110
1058.33
540.950
926.042
480.944
823.148
432.961
740 833
5
721.228 1235.00
61 S. 295
1058.5?
541.112
926.250
481.088
823.333
433.090
741.000
6
7 2 1. 448 1235. 28
618.483
1058.81
541.276
926.458
481.234
823.519
433.222
741.167
7
721.667 1*35.56
618.671
1059.05
541.441
926.66?
481.381
823.704
433. 354
741.333
8
721.887
1235.83
618.860
1059.29
541.606
926.875
481.528
823.889
433.486
741.500
9
722.107
1236.11
619.048
1059.52
541.771
927.083
481.674
824.074
433.618
741.667
1O
722 3221236.39
619 232 1059.76
541 932
927.292
481.817
824.259
433.74?
741.833
11
722.5371236.67
619.417
1060.00
542.093927.500
481.961
824.444
433.876
742.000
12
722.756
1236.94
619 605
1060.24
542.258927.708
482.10?
824.630
434.008
742.167
13
722.976
1237.2V
619.793
1060.48
542. 423 927.. 91 7
482.254
824.815
434.140
742.333
14
723.196
1237.50
619.U82
1060.71
542.588928.125
482.401
825.000
434.272
742.500
15
723.416
1237.78
620.170
1060.95
542.753928.333
482.547
825.185
434.404
742,66?
16
723.635
1238.06
620.358
1061.19
542.918928.542
482.694
825.370
434.536
742.833
17
723.855
1238.33
620.547
1061.43
543.083928.750
482.840
825.556
434.668
743.000
18
724.070
1238.61
620.731
1061.67
543.244
928.958
482.984
825.741
434.79?
743.167
19
724.285
1238.89
620.915
1061.90
543.405
929.167
483.127
825.926
434.926
743.333
20
724.505
1239.1?
621.104
1062.14
543.570929.375
483.274
826.111
435.058
743.500
21
724.725
1239.44
621.292
1062.38
543.735929.583
483.420
826.296
435.190
743.66?
22
724.944
1239.72
621.481
1062.62
543.900929.792
483.56?
826.481
435.322
743 833
23
725.164
1240.00
621.669
1062.86
544.065 930.000
483.713
826.667
435.454
744.000
24
725.384
1240.28
621.857
1063.10
544.230930.208
483.860
826.852
435.586
?44.16?
25
725.603
1240.56
622.046
1063.33
544.394
930.41?
484.007
827.03?
435.718
744 333
26
725.823
1240.83
622 234
1063.57
544.559
930.625
484.153
827.222
435. 84 (J
744.500
21
726.043
1241.11
622.422
1063.81
544.724
930.833
484.300
827.407
435.981
744.60?
28
726.263
1241.39
622.611
1064.05
544.889
931.042
484. 44G
827.593
436.113
744.833
29
726.482
1241.67
622.799
1064.29
545.054
931.250
484.593
827 778
436.245
745 000
3O
726.702
1241.94
622.988
1064.52
545.219
931.458
484.739
827.963
436.37?
745.16?
31
726.922
1242 22
623.176
1064.76
545.384
931.66?
484.886
828.148
436.501)
745.333
32
727.142
1242.50
623.364
1065.00
545.548
931.875
485.033
828.333
436.641
745.500
33
727.361
1212.78
623 553
1065.24
545.713
932.083
485.179
828.519
436.773
745.667
34
727.581
1243.0(5
623.741
1065.48
545.878
932.292
485.326
828 704
436.905
745.833
35
727.801
1243 33
623.929
1065.71
546.043
932.500
485.472
828.889
437.037
746 000
36
728.021
1243.61
624.118
1065.95
546.208
932.708
4S5.619
829.074
437.16'J
746.16?
37
728.240
1243.89
G24.306
10(56.19
546.37'3
932 917
485.765
829.259
437.301
746.333
38
728.460
1244.17
624.495
1066.43
546.538
933.125
485.912
829.444
437.433
746.500
39
728.680
1244.44
624.683
1066.6?
546.70-2
933 333
486 059
829.630
437.565
746.667
40
728.899
1244.72
624.871
1066.90
546.86?
933.542
486.205
829.815
437.697
746.833
41
729.119
1245.00
625.060
1067.14
547.032
933.750
486 352
830.000
437.829
747.000
42
729 339
1245.28
625.248
1067.3h
547.197
933.958
486.498
830.185
437.961
7'47.167
43
729.559
1245.56
625 . 436
10(57.62
547.362
934.167
486.645
830.370
438.093
747.333
44
729 . 77H
1245.83
625.635
1067.86
547.527
934 375
486.791
830.556
438.225
747.500
45
729.998
1246.11
625.813
1068.10
547.692
934.583
486.938
830 741
438.356
747.667
4C
730.218
1246.3!
626.002
1068.33
547.856
934.792
487.085
830.926
438.488
747.833
47
730.438
124(5.6?
626.190
1068.57
548.021
935.000
487.231
831.111
438.620
748.000
48
730.657
1246.91
626.378
1068.81
548.186
935.208
487.378
831.296
438.752
748.167
49
730.877
1247.22
626.567
1069.05
548 351
935.41?
487.524
831.481
438.884
748.333
5O
731.097
1247.50
626.755
1069.29
548.516
935.625
487.671
831.66?
439.016
7'48 500
51
731.317
1247.78
626.943
1069.52
548 681
935.833
487.817
831.852
439.148
748.667
52
731.536 1248. 01
627.132
10(59.7(
548.846
936.042
487.964
832.03?
439.280
748.833
53
731.751511248.33
627.320
1070.00
549.010
93(5.250
488.111
832.222
439.412
749.000
54
73 1.97 6 j 1248. 61
627.509
1070.24
549.175
936.458
488.25?
832.407
439.544
749 167
55
732.1% 1248.89
( '.27. (597
107'0.4S
549.340
93<>.667
488.404
832.593
489.676
749.333
56
732. 41 5i 1249.1?
6-J7.8S5
1070.71
549.505
936. 875
488.550
832.778
439.808
749 500
57
732. (535 1249.44
628.074
1070.95
549.670
937.083
488.69?
832.963
439.940
7'49.667
58
732.860 1249.7:.
628.266
1071.19
549.838937.292
488.84?
833.148
440.075
749.833
59
195
TA35LE XIY. — ACTUAL TANGENTS, ETC.
75°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tau.
Arc.
Tan.
Arc.
Tan.
A rc.
0
43'.)6.53
7500.00
2198.35
3750700
1465~66
2500.00
1099.35
1875.00
879.575
1500.00
1
4897.85
7501.67
2199.01
3750.83
1466.10
2500.56
1099.68
1875.42
879.839
1500.3:]
2
4399.17
7503.33
2199.663751.6;
1406.54
2501.11
1100.01
1875.83
880.102
1500.6;
3
4400.49
7505.00
2200 32 3752.50
1466.98
2501.67
1100.33
1876.25
880. 360
1501. Oil
4
4401.80
7506.67
2200.98
3753 . 33
14f,7.42
2502.22
1100.66
1876.67
880.030
1501.33
5
4408.12
7508.33
2201.64
3754.17
1467.86
2502.7!-
1100.99
1877.08
880.893
1501.67
6
4404.44
7510.00
2202.30
3755.00
1468.30
2503.3°.
1101.32
1877.50
881.157
1502.00
7
4405.79
7511.67
2202.97
3755.83
1468.75
2503.89
1101.66
1877.92
881.426
1502.33
8
4407.13
7513 33
2203 65
3756.67
1469.20
2504.44
1102.00
1878.33
881.696
1502.67
9
4408.45
7515.00
2204.31
3757.50
1469.63
2505.00
1102.33
1878.75
881.959
1503.00
1O
4409.77
7516.67
2204.96
3758.33
1470.07
2505.56
1102.66
1879.17
882.223
1503.33
It
4411 09
7518 33
2205.62
3759.17
1470.51
2506.11
1102.99
1879.58
882.487
1503.67
12
4412.40
7520.00
2206.28
3760.00
1470.95
2506.67
1103.31
1880.00
882.750
1504.00
13
4413.75
7521.67
2206.96
3760.83
1471.40
2507. 2'.'
1103.65
1880.42
883.020
1504.33
14
4415.10
7523.33
2207.63
3761.67
1471.85
2507.78
1103 99
1880.83
883.289
1504.67
15
4416.41
7525.00
2208.29
3762.50
1472.29
2508.33
1104.32
1S81.25
883.553
1505.00
16
4417.73
7526.67
2208.95
3763 33
1472.73
2508.89
1104.65
1881.67
883.816
1505.33
17
4419.05
7528.33
2209.61
3764.17
1473.17
2509.44
1104.98
1882 08
884.080
1505.67
18
4420.37
7530.00
2210.26
3765.00
1473.61
2510.00
1105.31
1882.50
884.344
1506.00
19
4421.71
7531.67
2210.94
3765.83
1474.06
2510.56
1105.64
1882.92
884.613
1506.3:]
20
4423.06
7533 33
2211.61
3766.67
1474.51
2511.11
1105.98
1883.33
884.882
1506.67
21
4424.38
7535.00
2212.27
3767.50
1474.94
2511.67
1106 3:
1883.75
885.146
1507.00
22
4425.70
7536.6:
2212.93
3768.33
1475.38
2512.22
1106.64
1884.17
885.410
1507.33
23
4427.04
7538.33
2213.60
3769.17
1475.83
2512.78
1106.98
1884.58
885 679
1507.67
24=
4428.39
7540.00
2214.28
3770.00
1476.28
2513.33
1107.31
1885.00
885.948
1508.00
25
4429.71
7541.67
2214.93
3770.83
1476.72
2513. S9
1107.64
1885.42
886.212
1508.33
36
1431.02
7543.33
2215.59
3771.67
1477.16
2514.44
1107.97
1885.83
886.476
1508.67
37
4432.37
7545.00
2216.27
3772.50
1477.61
2515.00
1108.31
1886.25
886.745
1509.00
28
4433.72
7546.67
2216.94
3773.33
1478.06
2515.56
1108.64
1886.67
887.014
1509.33
39
4435.04
7548.33
2217.60
3774.17
1478.50
2516.11
1108.97
1887.08
887.278
1509.67
30
4436.35
7550.00
°218.26
3775. CO
1478.94
2516 67
1109.30
1887.50
887.542
1510.00
31
4437.70
7551.67
2218.93
3775.83
1479.39
2517.22
1109 64
1887.92
887.811
1510.33
33
4439.05
7553.33
2219.00
3776.67
1479.83
2517.78
1109 98
1888.33
888.080
1510.67
33
4440.30
7555.00
2220.26
3777.50
1480.27
2518.33
1110.31
1888.75
888.344
1511.00
34
4441.68
7556.67
2220.92
3778.33
1480.71
2518.89
1110.64
1889.17
888.608
1511.33
35
4443 03
7558.33
2221.60
3779.17
1481.16
2519.44
1110.97
1889.58
888.877
1511.67
36
4444.37
7560.00
2222.27
3180 00
1481.61
2520 00
1111.31
1890.00
889.146
1512.00
37
4445 72
7561.67
2222.94
3780.83
1482.06
2520.56
1111.65
1890.42
889.416
1512.33
38
4447.07
7563.33
2223. 6v!
3781.67
1482.51
2521.11
1111.98
1890.83
889 . 685
1512.67
39
4448 . 39
7565.00
2221.27
3782.50
1482.95
2521.67
1112.31
1891.25
889.949
1513.00
4O
4449.70
7566.67
2224.93
3783.33
1483.39
2522. 2 J
1112.64
1891.67
890.213
1513.33
41
4451.05
7568 33
2225.61
3784.17
1483.84
2522 78
1112.98
1892.08
890.482
1513.67
43
4452 40
7570.00
2026.28
3785.00
1484 28
2523.33
1113.31
1892.50
890.751
1514.00
43
4453.71
7571.67
2226.94
3785.83
1484.72
2523 89
1113.64
1892.92
891.015
1514.33
44
4455.03
7573.33
2227.60
37'86.67
1485.16
2524.44
1113.97
1893.33
891.279
1514.67
45
4456.38
7575.00
2228.27
3787.50
1485.61
2525.00
1114.31
1893.75
891 548
1515.00
46
4457.72
7576.67
2228.91
3788 33
1486.06
2525.56
1114.65
1894.17
891.817
1515.33
47
44r9.07
7578.33
2229.62
37'89.17
1486.51
2526.11
1114.98
1894.58
892.087
1515.67
48
4460.42
7580.00
2230.29
3790.00
1486.96
2526.67
1115.32
1895.00
892.356
1516.00
49
4461.76
7581.67
2230.96
3790.83
1487.41
2527.22
1115.60
1895.42
892.625
1516.33
50
4463.11
7583.33
2231.64
3791.67
1487.86
2527.78
1115.99
1895.83
892.895
1516.67
51
4464.43
7585.00
2232.3013792.50
1488.302528.33
1116.32
1896.25
893.158
1517.00
53
4465 75
7586.67
2232 96 13793. 33
1488.74 2528.89
1116.65
1896.67
893.422
1517.33
53
4467.09
7588.33
2233.633794 17
1489.18 2529.44
1116.99
1897.08
893.691
1517.67
54
446S.44
7590.00
2234. 3:) 13795 00
1489.632530.00
1117.33
1897.50
893.961
1518.00
55
4469 79
7591.67
2234. 97 J3795. as
1490.082530.56
1117.66
1897.92
894 230
1518.33
56
4471 . 13
7593.33
2235.6-)] 3796 67
1490.532531.11
1118.00
1898.33
894.500
1518.67
57
4472.48
7595.00
2286.32 3797 50
1490.982531.67
1118.34
1898.75
894.769
1519.00
58
4473.83
7596.67
2236 99 3798.33
1491.432532.22
1118.67
1899.17
81)5.038
1519.33
59
4475.17
7598.33
2237.67.3799.17
1491.882532 78
1119.01
1899.58
895.308
1519.67
196
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
75°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
733.084
250.00628.459
1071.43
a50.007
937.500
488.996
833.333
40.209
"50.000
O
733.304
1250.28 628.647
1071.67
a50.172
937.708
489.143
833.519
40.341
"50.167
1
733.533
250.56628.835
1071.90
050.336 937.917
489.289
833.704
40.473
50.333
2
733.743
1250.83629.024
1072.14
350.501
938.125
489.436
833.889
40.605
T>0.500
3
733.963
1251.11 629.212
1072.38
>50.000
138.333
489.583
834.074
440.737
"50.667
4
734.183
1251. 3'.) 629. 400
1072.62
350.831
W8.542
489.729
834.259
10.869
'50.833
5
734.40:3
1251.67629.589
1072.86
a50.996
J38.750
489.876
834.444
441.001
"51.000
6
734.627
1251.94629.781
1073.10
351.164
J38.958
490.026
83 1 . 630
441.136
'51.167
7
734.851
252.22
629.974
1073. 33
>5 1.333
)39.107
490.175834.815
441.271
"51.333
8
735.071
252.50
630.162
1073.57
351.498
J39.375
490.322
835.000
441.403
"51.500
9
735.291
1252.78
630.350
073.81
551 .663
939.583
490.468
835.185
441.535
"51.667
10
735.511
1253.06
630.539
074.05
351.827
>39.792
490.615
835.370
441.667
751.833
11
7:35.730
1253.33
630.727
074.29
o51.992
9IO.UH)
490.762
835.556
441.799
"52.000
12
735.955
1253.61
630.920
074.52
)52.161
J 40. 208
490.911
835. 7-M
m.933
"52.167
13
736 179
1253.89
631.112
074.70
o52.329
J 40. 417
491.061
833.926
442.068
"32.333
14
736.399
1254.17
631.301
1075.0,i
>52.49l
) 40. 025
491 .208
836.111
442.200
752.500
15
736.619
1254.44
631.489
075.24
552.659
JIO 833
191.354
836. 2-1)6
442.332
~52.667
16
736.839
1254.72
631.677
1075.48
>52.824
J4 1.042
491.501
836.481
442.464
752.833
17
737.058
1255.00
631.866
075.71
552.989
J4 1.250
491.647
836.067
442 596
"53.000
18
737.283
1255.28
632.058
1075.95
553.157
941.458
491. 79 T
836.852
442.731
753.167
19
737.507
1255.56
632.251
076.19
553.325
941.667
491.947
837.037
442.866
753.333
20
737.727
1255.83
032.43d
1076.43
>53.4i)0
941.875
492.093
837.222
442.998
753.500
21
737.947
1256.11
632.627
1076.67
353 . 055
J 42. 083
492.240
837.407
443.130
753.667
22
738.171
1256.39
632.820
1076.90
053.824
J 42. 292
492.390
837.51)3
443.264
753.833
23
738.396
1256.67
633.012
1077.14
053.992
942.500
492.540
837.778
443.399
754.000
34
738.616
1256.94
633.201
1077.38
351.157
J 42. 708
492. 6S6
837.963
443.531
754.167
25
738.835
1257.22
633.3.30
1077.62
354.322
J42.917
492.833
838.148
443.663
754.333
26
739.060
1257.50
635.582
1077.80
354.490
J43.125
492 982
838.333
443.798
754.500
27
73 J. 284
1257.78
633.774
1078.10
35 1.059
J43.333
493.132
838.519
443.933
754.667
28
739.504
1258.06
633.962
1078. 3 i
354.824
943.542
193.279
833.704
444.065
754.833
29
739.724
1258.33
634.151
1078.57
554.988
) 13. 750
493.425
838.889
444.197
755.000
30
739.918
1258.61
634.313
1078.81
555.157
J43.958
493.575
839.074
444.331
755.167
31
740.173
1258.89
634 . 536
1079.05
555.325
914.167
493.725
839.259
444.466
755.333
32
740.393
1259.17
634.724
1079.2U
555.490
944.375
493.871
839.444
444.598
755.500
33
740.612
1259.44
634.912
1079.52
555 . 655
944.583
494.018
839.630
444.730
753.667
34
740.837
1 259 . 72
635.105
1079.70
355.823
144.792
194.108
839.815
444.865
755.833
35
741.061
1260.00
035.297
1080.00
555.992
945.000
494.318
840.000
445.000
756.000
36
741.286
1260.28
63.3. 49 J
1080.24
o56.160
J45.208
494.467
840.185
445.135
756.167
37
741.510
1260.56
035.08:
1080.48
)56.329
945.417
11)4.617
840.370
445.269
756.333
38
741.730
1260.83
635.871
1080.71
356.494
945.625
494.764
840.556
445.401
756.500
39
741.951
1261.11
636.059
1080.95
556.658
945.833
494.910
840.741
445. 533
756.667
4O
742.174
1261.3;)
63<> 252
1081.19
J56.827
946.042
495.060
840. 92C
445.668
756.833
41
742.399
1261.67
636.444
1081.43
556.995
946.250
495.210
841.111
445.803
757.000
42
742.619
1261.91
636.632
1081.67
557.160
946.458
495.356
841. 29(
445.935
757.167
43
742.838
1262.22636.821
1081.90
557. 325
946.667
495.503
841.481
446.067
757.3:33
44
743.063
1262.50 637.013
1082.14
557.494
946.875
495.653
841.667
446.202
757.501
45
743.287
1262.78
637.206
1082.38
557.002
947.083
495.802
841.852
446.337
757.667
46
743.512
1263.06
037.393
1082.62
557.830
947.29v
495.95'.
842.037
446.471
757.83:
47
743.736
1263.33
037.5'.)!
1082.86
557.991
947.500
196.102
842.222
446.606
758.000
48
743.961
1263.61
637.783
1083.10
558.16;
947.708
496.252
842.407
446.741
758. I0r
49
744.18:
1263.89
037.970
1083.33
558.336
947.917
496.401
842.593
446.876
758.3*
5O
744 40."
1264.17
038. 164
1083.57
558.501
948.125
496.548
842.778
447.008
758.500
51
741.625
1264.44
638.352
1083.81
558.665
94S.333
41)6.695
842.963
447.140
758.60"
52
744.849
1254.72
638.545
1084.0:
558.831
948.54",
496.844
843.148
447.274
758.8*
53
74:>. 074
12ii5.00638.73;
1084.21
559 00,
948 75
496.99-
843.333
447.409
759.000
54
745 . 208 1 2(35 . 28 638 . 9-Jl
1084.5;.
559.171
918.958
497.144
843.519
447.544
759.16'
55
745.523 12(55.56 039.12',
1084 7b
559.339
949.167
497.294
843.704
447.679
759.33-
56
745.747 1265. 83 639.31'
1085.00
559.508
949.375
497.443
843.889
447.814
759. 5(K
57
715.972! 1266. 11 639.507
1085.24
559.676
949 583
497.593
844.074
447.949
759.66
58
746.196 1266.39,639.700
1085.48
559.845919.792
497.743
844.259
448. 0831759. 83:
59
197
TABLE XIV. — ACTUAL TANGENTS, ETC.
76°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. Arc.
0
4476.52.7600.00
2238.34
3800.00
149*5.33
2533.33
1119.35
1900.00895.577 1520.00
1
4477.84
7601.67
2239.00
3800.83
1492. 77
2533. 8U
1 1 1 9 . 6S
1 900. 42 895. 84 M 520. 33
2
4479.15
7603.33
2239 66
3801.67
1493.21
2534.44
1120.01
1900.83896.104 1520.67
3
4480.50
7605.00
2240.33
3802.50
1493.65
2535.00
1120.34
1901.25896.374
1521.00
4
4481.85
7606.67
2241.01
3803.33
1494.10
2535 . 5U
11 20 .-68
1901 671896.643
1521.33
5
4483.19
7608.33
2241.683804.17
1494.55
2536.11
1121.02
1902.08896.913
1521.67
6
4484.54
7610.00
2242. 35 '3805. 00
1495.00
2536.67
1121.35
1902.50
897.182
1522.00
7
4485.89
7'611.67
2243.033805.83
1495.45
2537.22
1121.69
1902.92
897.451
1522.33
8
4487.23! 76 13. 33
2243.703806.67
1495.90
2537.78
1122.03
1903.33
897.721
1522.67
9
4488.58J7615.00
2244.37
3807.50
1496.35
2538.33
1122.36
1903.75
897.990
15:23.00
1O
4489.93
7616.67
2245.05
3808.33
1496.80
2538.89
1122.70
1904.17
898.259
1523.33
11
4491.27
7618.33
2245.72
3809.17
1497.24
2539.44
1123.04
1904.58
898.529 1523.67
12
4492.62
7620.00
2246.39
3810.00
1497.69
2540.00
1123.37
1905.00
898.7981524.00
13
4493.97
7621.67
2247.06
3810.83
1498.14
2540.56
1123.71
1905.42:899.068 1524.33
14
4495.31
7623.33
2247.74J3811.67
1498.59
2541 . 1 1
1 1 24 . 05 ! 1 905 83 899 . 337 1 524 . 67
15
4496.60
7625.00
2248. 41 13812. 50
1499.04
2541.67
1124.38
1906.25
899.606 1525 00
16
4498.00
7626.67
2219.08
3813.33
1499.49
2542.22
1124.72
1906.67
899.876
1525.33
17
4499.35
7628.33
2249.76
3814.17
1499.94
2542.78
1125.06
1907.08
900.145
1525.67
18
19
4500.70
4502.04
7630.00
7631.67
2250.43
2251.10
3815.00
3815.83
1500.39
1500.84
2543.33
2543.89
1125.39
1125.73
1907.50
1907.92
900.414
900.684
1526.00
1520.33
20
4503.39
7633 33
2251.78
3816.67
1501.28
2544 44
1126 07
1908.33
900.953
1526.67
21
4504.74
7635.00
2252.45
3817.50
1501.73
2545.00
1126.40
1 90S. 75
901.223 1527 00
22
4506.08
7636 67
2253.12
3818.33
1502.18
2545.56
1126.74
1909.17
901.492
1527.33
23
4507.43
7638.33
2253.80
3819.17
1502.63
2546.11
1127.08
1909.58
901.761
1527 67
24
4508.78
7640. 00
2254.47
3820.00
1503.08
2546.67
1127.41
1910.00
902.031
1528.00
25
4510.12
7641.67
2255.14
3820.83
1503.53
2547.22
1127.75
1910.4V
902.300
1528.33
26
4511.47
7643.33
2255.82
3821.67
1503.98
2547. 7M
1128.09
1910.83
902.56'J
1528.67
27
4512.82
7645.00
2256.49
3822.50
1504.43
2548.3:3
1128.42
1911.2.')
902 839
1529.00
28
4514.16
7646.67
2257.16
3823.33
1504.88
2548.89
1128.76
1911.67
903.108
1529.33
29
4515.54
7648.33
2257.85
3824.17
1505 33
2549.44
11*9.10
1912.08
903.383
1529.67
3O
4516.91
7650.00
2258.54
3825.00
1505.79
2550.00
1129.45
1912.50
903.658
1530.00
31
4518.26
7651 . 67
2259.21
3825.83
1506.24
2550.56
1129.78
1912.92
903.928
15:30.33
32
4519.61
7653.33
.'259.89
3826.67
1506.69
2551 . 1 1
1180.1*
1913.33
904.197
1530.67
33
4520.95
7655.00
£360.56
3827.50
1507.14
2551. (37
1130.46
1913.75
904.467
1531.00
34
4522.30
7656.67
£>61.23
3828.33
1507.59
2552.22
1130.79
1914.17
904.736
1531.33
35
4523.64
7658.33
2:261.91
3829.17
1508.04
2552.78
1131.13
1914.58
905.005
1531.67
36
4524.99
7660.00
£262.58
3830.00
1508.49
2553.33
1131.47
1915.00
905.275
1532 00
37
4526.34
7661.67
2263.25
3830.83
1508.93
2553.89
1131.80
1915.42
905.544
1532.33
38
4527.68
7663.33
£263.92
3831.67
1509.38
2554.44
1132.14
1915.83
905.813
1532.67
39
4529.06
7665.00
£264.61
3832.50
1509.84
2555.00
1132.48
1916.25
906.088
1533.00
40
4530.43
7666.67
2265.30
3833.33
1510.30
2555.56
1132.83
1916.67
906.364
1533.33
41
4531.78
7668.33
2265.97
3834 17
1510.75
2556.11
1133.16
1917.08
906.633
533.67
42
4533.13
7670.00
2266.65
3835.00
1511.20
2556.67
1133.50
1917.50
906.902
1534.00
43
4534.47
7671.67
2267.32
3835.83
1511 65
2557.22
1133.84
1917.92
907.172
1534.33
44
4535.82
7673.33
2267.99
3836 67
1512.10
2557.78
1134.17
1918.33
907.441
1534.67
45
4537.20
7675.00
2268.68
3837.50
1512.55
2558.33
1134.52
1918.75
907.716
1535.00
46
4538.57
7676.67
2269.37
3838.33
1513.01
£558.89
1134.86
1919.17
907.991
1535.33
47
4539.92
7678.33
2270.04
3839.17
1513.46
2559.44
1135.20
1919.58
908.261
1535.67
48
4541.26
7680 00
2270.71
3840.00
1513.91
2560.00
1135.54
1920.00
908.530
1536.00
49
4542.61
7681.67
2271.39
3840.83
1514.36
2560.56
1135.87
1920.42
908.799
1536.33
50
4543.96
7683.33
2272.06
3841.67
151 4. SI
2561.11
1136.21
1920.83
909.069
1536.67
51
4545.33
7685.00
2272.75
3842.50
1515.27
2561.6!
1136.55
1921.25
909.344
1537.00
52
4546.71
7'686.67
2273.44
3843.33
1515.72
2562.22
1136.90
1921.67
909.619
1537.33
53
4548.05
7688.33
2274.11
3844.17
1516.17
2562. 7H
1137.23
1922. OS
909.888
1537.67
54
4549.40
7690.00
2274.78
3845.00
1516.62
2563. 33
1137.57
1922.50
910 15S
1538.00
55
4550.77
7691.67
2275.47
3845.83
1517.08
25(53.89
1137.91
1922.92
910.433
153S.*3
56
4552.15
7693 33
2276.16
3846.67
1517.54
2564 44
11?8.26
1923.33
910 70K
15.-S8.67
57
4553 50
7695.00
2276.83
3847.50
1517.99
2565.00
1138.59 1923.75
910.977
1539.00
58
4554.84
7696.67
2277.50
3818.33
1518.44
2565.5(5
1138.93
1924.17
911.247
1539.33
59
4556.22
7698.33
2278.19
3849.17ll5l8.90
2566.11
1139.28
1924.58
911.522
1539.67
198
TABLE XIT.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° C
Lirve.
Arc.
9° Curve.
1O° Curve.
76°
Tan.
Arc.
Tan.
Arc.
Tan.
Tan.
Arc.
Tan.
Arc.
M.
746.421
1266.67639.892
1085.71
560 013
950.000
497 893
844.444
448.218
760.000
0
746.641
1266.94 640.080
1085.95560.178
950.208
498.039
844.630
448.350
760.167
1
746.860
1267.22640.269
1086.19
560.343
950.417
498.186
844.815
448.482
760.333
2
747.085
1267.50!640 461
1086.43
560.511
950.625
498.336
845.000
448.617
760.500
3
747.309
1267.78640.654
1086.67
560.680
950.833
498.485
845.185
448.752
760.667
4
747.534
1268.06640.846
1086.90
560.848
951.042
498.635
845.370
448.887
760.833
5
747.758
1268.33641.039
1087.14
561.016
951.250
498.785
845.556
449.021
761.000
6
747.988
1268. 61 1641.231
1087.38
561.185
951.458
498 935
845.741
449.156
761.167
7
748.208
1268.89641.424
1087.62
561.353
951.667
499.084
845.926
449.291
761.333
8
748.432
1269.17
641.616
1087.86
561.522
951.875
499.234
846.111
449.426
76 1.50C
9
748.657
1269.44
641.809
1088.10
561 . 690
952.083
499.384
846.296
449.561
761.667
10
748.881
1269.72
642.001
1088.33
561.859
952.292
499.534
846.481
449.695
761.833
11
749.106
1270.00
642.194
1088.57
562.027
952.500
499.683
846.667
449.830
762.000
12
749.330
1270.28
642.386
1088.81
562.196
952.708
499.833
846.852
449.965
762.167
13
749.555
1270.56
642.578
1089.05
562.364
952.917
499.983
847.037i450.100
762.333
14
749.779
1270 83642.771
1089.29
562.532
953.125
500 133
847.222
450.235
762.500
15
750.004
1271.11 642.963
1089.52
562.701
953 333
500.282
847.407
450.370
762.667
16
750.228
1271.39643.156
1089.76
562.869
953.542
500.432
847.593
450.504
762.833
17
750.453
1271.67
643.348
1090.00
563.038
953.750
500.582
847.778
450.639
763.000
18
750.677
1271.94
643.541
1090.24
563.206
953.958
500.73-,'
847.963
450.774
763.167
19
750.902
1272.22
643.733
1090.48
563.375
954.187
500.881
848.148
450.909
763.333
20
751.126
1272. 50 1643. 926
1090.71
563.543
954.375
501 031
848.333
451.044
763.500
21
751.351
1272.78
644.118
1090.95
563 712
954.583
501.181
848.519
451.178
763.667
22
751.575
1273.06
644.311
1091.19
563.880
954.792
501.331
848.704
451.313
763.833
23
751.800
1273.33
644.503
1091.43
564 . 048
955.000
501.48,.
848.889
451.448
764. 000
24
752.024
1273.61
644.696
1091.67
564.217
955.208
501.630
849.074
451.583
764.167
25
752.249
1273.89
644.888
1091.90
564.385
955.417
501.780
849.259
451.718
764.333
2G
752.473
1274.17
645.081
1092.14
564.554
955.625
501.930
849.444
451.853
764.500
21
752.69*
1274.44
645.273
1092.38
564.722
9.-)5.833
502.079
849.630
451.987
764.667
28
752.927
1274.72
645.470
1092.62
564.894
956.042
502.232
849 815
452.125
764.833
29
753.156
1275.00
645.666
1092.86
565.066
956.250
502.385
8'>0.000
452.263
765.000
30
753.381
127'5.28
645.859
1093 10
565.235
956.458
502.535
850.185
452.398
765.167
31
753.605
1275.56
646.051
1093.33
565.403
956.667
502.685
850 370
452132
765.333
32
753.830
1275.83
646.244
1093.57
565.572
956 875
502.835
850 556
452.667
765.5(Hi
33
754.054
1276.11
646.436
1093.81
565.740
957.083
502.984
850.741
452 >02
765.667
34
754.279
1276 39
646.621)
1094.05
565.909
957 292
503 134
850.926
452.937
765.833
35
734.508
1276 67
646.821
1094.29
566.077
957.500
503.284
851.111
453.072
7(5.6.000
30
754.728
1276.94
647.013
1094.52
566 245
957.708
503.434
851.296
453.206
766.167
37
754.952
1277.22
647.206
1094.76
566.414
957.917
503.583
851.481
453.341
766.333
38
755.182
1277.50
647.402
1095.00
566.586
958.125
503.736
851.667
453.479
766.500
39
755.411
1277.78
647.599
1095.24
566.758
958.333
503.889
851.852
453.617
766 . C67
40
755.636
1278.06
647.792
1095.48
566.926
958.542
504.039
852.037
453.751
766.833
41
755.860
1278.33
647.984
1095.71
567.095
958.750
504.189
852.222
453.886
767.000
42
756 0&5
1278.61
648.176
1095.95
567.263
958.958
504.339
852.407
454.021
767.167
43
756.309 1278.89
648.369
1096.19
567.432
959.167
504.488
852.. '.93
454.156
767.33
44
756.538 1279.17
648.566
1096.43
567.604
959.375
504.641
852.77)-'
454.294
767. 50(
45
756.768
1279.44
648.762
1096.67
567.776
959.583
504.794
852.963
454.431
767.667
40
756.992
1279.72
648.955
1096.90
567.944
959.792
504.944
853.14**
454.566
767.833
47
757.217
1280.00
649.147
1097 14
568.113
960.000
505.094
853.883
454.701
768. OCX?
48
757.441
1280.28
649.339
1097.38
568.281
960.208
505.244
853.519
454.836
768.167
49
757. 606
1280.56
649.532
1097.62
568.449
960.417
505.393
853.704
454.971
768.333
50
757.895
1280.83
649.729
1097.8(5
568 622
960.625
505 546
853.889
455.108
768.500
51
758.124
1281.11
649.925
1098.10
568.794
960.833
505.699
854.074
455.246
768.667
52
758.349
1281.39
650.118
1098.33
568.9(52
961.042
505.849
854.259
455.381
768.833
53
758.573
1281.67
650 310
1098 57
569.130
961.250
505.999
854.444
455.516
769.000
54
758.803
1281.94
650.507
1098 81
569.302
961.458
506.152
854.630
455. (553
769.167
55
759.032
1282.22
650.703
1099.05
569.474
961. C67
506.305
854.815
455.791
769.333
50
759.256
1282.50
(550.896
1099.29
569.643
961.875
506.454
855.000
455.926
769.500
57
759.481
1282.78
651.088
1099.52
569.811
962.083
506.604
855.185
456.061
769 (567
58
759.710
1283.06
651.285
1099.76
569.983
962.292
506.757
855.370
456.198
769.833
59
199
TABLE XIV. — ACTUAL TANGENTS, ETC.
77°
M.
1° Curve.
2° Curve.
3° C
Tan.
urve.
Arc.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
~~O~
45 7.59
7700.00
2278.88
385'i.0(
151!) 35
2566.67
1139.62
1925.00
911.797
1540.00
1
4558. W
7701.07
2279.55
3850.83
1M0.81
2567.22 11:39.90
1925.42
912 000
1540.33
g
4360.29
7703.33
2280.23
3851 67
1520 25
2507.78 1140.29
1925.83
912.330
1540.07
3
4501 60
7705.00
2280.91
3852.50
1520.71
2508. 33
1140.04
1920.25
912.611
1541.00
4
4503.04
7700 07
2281.60
3853.33
1521.17
2508.89
1140.98
1920.67
912.880
1541.33
5
4504.38
7708.33
2282.27
3854.17
1521.02
2509.44
1141.32
1927.08
913.155
1541.07
6
4505 . 7'3
7710.00
2282.95
3855.00
1522.07
2570.00
1141.65
1927.50
913.425
1542.00
7
4507.10
7711.67
2283.64
3855.83
1522 52
2570.56
1142.00
1927.92
913.700
1542.133
8
4508.48
7713.33
2284.32
3856.67
1522.98
•2571.11
1142.34
1928.33
913.975
1542.67
9
4509.83
7715.00
2285.00
3857.50
1523.43
2571.67
1142.68
1928.75
914.244
1543.00
1O
4571.17
7716.67
2285.67
3858.33
1523.88
2572 22
1143.01
1929.17
914.514
1543.33
11
457:2.55
7718. as
2286.30
3859.17
1524.34
257 2. '78
1143.30
1929.58
914.789
1543.07
12
4573.9-2
7720.00
2287.04
3860.00
1524.80
2573.33
1143.7<
1930.00
915.064
1544.00
13
4575 . 30
7721.67
2287.73
3860.83
1525.26
2573.89
1144.05
1930.42
015.339
1544.33
14
4570.07
7723.33
2288.42
3801.67
1525.71
2574.44
1144.39
19:30.83
915.614
1544.07
15
4578.04
7725.00
2289.0:)
3802.50
1526.10
2575.00
1144.73 1931.25
915.883
1545.00
16
4579.37
7726.67
2289.77
3863.33
1526.61
2575 . 50
1145.00 1931.07
916.153
1545.33
17
4580.74
7728.33
2290.45
3804.17
1527.07
2570.11
1145.41 1932.08
916.428
1545.67
18
4582.1-2
7730.00
2291.14
3805.00
1527.53
2576.07
1145.75 19:32.50
916.70:3
1546.00
19
4583.49
7731.67
2291.83
3865.83
1527.99
2577.22
1140.09
1932.92
1)16.978
1546.33
20
4584.87
7733.33
2292.52
3866.67
15-28 45
2577.78
1146.44
1933.33
917.253
1546.67
21
4580.21
773o.OO
2293.19
3867.50
152S.89
2578.33
1146.78
1933.75
1)17.52:3
1547.00
22
4587.50
7736.67
2293.80
3808.33
1529.34
2578.89
1147.11
1934.17
917.792
1547.33
23
4588 93
7738.33
2294.55
3809.17
1529.80
2579.44
1147.46
1934.58
918.007
1547.67
24
4590.31
7740.00
J295.24
38 7'Q.OO
1530.20
2580.00
1147.80
19-35.00
918.342
1548.00
25
4591.08
7741.67
2295.93
3870.83
1530.72
2580.50
1148.14
1935.42
918.617
1548.33
26
4593.00
7743.33
2290.01
3871.67
1531.18
2581.11
1)48.49
1935.83
918.892
1548.07
27
4594.43
7745.00
2297.30
3872.50
1531.04
.'581.07
1148.83
1936.25
919.108
1549.00
28
4595.81
7746.67
2297.99
3873.33
1532.09
2582.22
1149.17
1936.07
1)19.443
1549.33
29
4597.10
7748.33
2298.60
3874.17
1532.54
2582.78
1149.51
1937.08
919.712
1549.67
30
4598 50
7750.00
2299.34
3875.00
1532.99
2583.33
1149.85
1937.50
919.981
1550.00
31
4599.88
7751.67
2300.02
3875.83
1533.45
2583.89
1150.19
1037.92
920.257
1550.33
32
4601.25
7753.33
2300.71
3876.67
153:3.91
2584.44
1150.54
1938.33
1)20.532
1550.67
33
4002.63
7755.00
2301.40
3877.50
1534.37
2585.0)
1150.88
1938.75
920.807
1551.00
34
4004.00
7756.67
2302.09
3878.33
1534.83
2585. 50
1151.22
19:39.17
921.082
1551.33
35
4605.38
7758.33
2302 77
3879.17
1535.28
2580.11
1151.57
1939.58
1)21.357
1551.67
30
4606.75
7760.00
J303.40
3880.00
535.74
2580.67
1151.91
1940. OJ
921.032
1552.00
37
4008.13
7761.67
2304.15
3880.83
536.20
2587.2,'
1152.20
1940.42
921.907
1552.33
38
4609.50
7763.33
2304.84
3881.07
1536.00
2587. 7S
1152.60
1940.83
922.182
1552.67
39
4010.88
7765.00
2305.52
3882.50
1537.12
2588.33
1152.94
1941.25
922.457
1553.00
40
4612.25
77'66.67
2306.21
3883.33
1537.58
2588.89
1153.29
1941.67
922.732
1553.33
41
4613.63
7768.33
2300.90
3884.17
1538.03
2589.44
1153.63
1942.08
923.008
1553.67
42
4015.00
7770.00
2307.59
3885.00
1538.49
2590.00
1153.97
1942.50
.)23.28:3
1554.00
43
4010.38
7771.67
2308,27
3885.83
1538.95
2590.50
1154.32
1942.92
923.5f,8
1554.33
44
4617.75
7773.33
2308.90
3880.67
1539.41
2591.11
1154.66
1943.33
923.833 1554. 07
45
4019.13
7775. UO
2309.05
3887.50
539.87
2591.67
1155.01
1943.75
924.108 1555.00
46
4020.50
7776.67
2310.34
3888.33
1540.33
2592.22
1155.35
1944.17
924.383
1555.33
47
4621.88
7778.33
2311.02
3889.17
1540 79
2592.78
1155.69
1944.58
924.658
1555 07
48
4023.25
7780.00
2311.71
J890.00
1541.21
3593.33
1156.04
1945.00
924.933
1550.00
49
4024.63
7781.07
2312.40
3890.83
1541.70
2593.89
1156.38
1945.42
925.208
1550.33
50
4626.00
7783.33
2313.09
3891 . 67
542.16
2594.44
1156.73
1945.83
025.48-1
1556.67
51
4627.38
7785.00
2313.77
3892.50
542.62
25D5.00
1157.07
11)40.2:,
)25.759
1557.00
52
4028.70
77'86.67
2314.40
3893.33
1543. OS
2595.50
1 57.41
1940.07
120.034
1557.33
53
4630.13
7788.33
2315.15
3894.17
543.54
2596.11
1 57.70
1917.0^
J20.309
557.07
54
4631.51
7790.00
2315.84
3895.00
1543.99
2596.67
1 58.10
11)47.50
>2ii.584
ir-58.00
55
4032.88
7791.67
2316.53
3895.83
544.45
2597.22
:>8.44
1 947 . 9 -' 1)20 . 85!) j 1 .",58 . 33
56
4034.20
7793.33
2317.21
3896.67
544.91
2ot)7'.7H
1 58.79
1948.33 927. 13 ]| 1558. 07
57
1035.03
7795.00
2317.90
3897.50
545.37
25D8.33
1 59.13
11)48.75
927. 40U 1559.00
58
4037.01
7796.67
2318.59
3898.33
545.83
2598.89
159.48
1919.17
327.084 155!).:]:]
59
4638.38
7798.33
2319.28
3899.17
546.29
2599.44
1159.82
1919.58
1)27. 900 11559. 07
200
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
77°
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
759.939 1283.33
651.481
1100.00
570.155
962 500
506.910
855.556
456.336770.000
0
700.1641283.61
651.674
1100.24
570.324
9()2.708
507.000
855.741
456.471 770.167
1
760.388 1283.89
651. 8615
1100.48
570.492
962.917
507.210
855.920
456.606770.333
2
700. 01 8 1284.17
652.063
1100.71
570.664
903.125
507.362
856.111
456.743770.500
3
760.847 1284.44
652.259
1100.95
570 836
963.333
507.515
856.296
456. 88 1 770. 667
4
701.072 1284.72
652.452
1101.19
571.005963.542
507.665
856.481
457.016 770.833
5
701.290 1285.00
652.644
1101.43
571.173963.750
507.815
856.667
457.151
771.000
6
70 1. 525 ' 1285. 28
652.841
1101.67
571.345
963.958
507 968
856.852
457.288
771.167
7
70 1. 755 ! 1285. 50
653.037
1101.90
571.517
904.167
508.121
857.037
457.426
771.333
8
701.979
1285.83
653.230
1102.14
571.686
964.375
51)8.271
857.222
457.561
771.500
9
762.204
1286.11
653.422
1102.38
571.854
964.583
508.420
857.407
457.696
771.667
10
702.433
1286.39
653.619
1102.62
572.026
964.792
508 573
857.593
157.839
771.833
11
762.002
1280.07
653.815
1102 86
572.198
965 000
508.726
857.778
457.971
772.000
12
702.892
1286.94
654.012
1103.10
572.370
965.208
508.879
857.963
458.109
772.167
13
703.121
1287.22
654. 2t9
1103.33
572.542
965.417
509.032
858.148
458.246
772.333
14
703.345
1287.50
654.401
1103.57
572.711
965.625
509.182
858.333
458.381
772.500
15
703.570
1287.78
654.593
1103.81
572.879
965.833
509.332
858.519
458.516
772 . 667
10
703.799
1288.00
(554.790
1104.05
573.051
966.042
509.485
858.704
458.654
772.833
17
764.028
1288.33
654.987
1104.29
573.223
966.250
509.638
858.889
458.791
773.000
18
704.258
1288.61
655.183
1104.52
573.395
966.458
509.790
859.074
458.929
773.167
19
764.487
1288.89
655.380
1104.76
573.567
966.667
509.943
859.259
459.067
773.333
2O
704.712
1289.17
055.572
1105.00
573.736
966.875
510.093
859.444
459.202
773.500
21
764.93(5
1289.44
655.765
1105.24
573.904
967.083
510.243
859.630
459.336
773.667
22
705.165
1289. 7-;
055.961
1105.48
574.076
967.292
510.390
859.815
459.474
773.833
23
765.395
1290.00
656.158
1105.71
574.248
967.500
510.549
860.000
459 612
774.000
24
705.024
1290.28
65C.35-J
1105.95
574.420
967.708
510.702
860.185
459.749
774.167
25
705.853
1290.56
656.551
1106.19
574.592
967 917
510.855
860.370
459.887
774.333
20
706.082
1290.83
056 . 7 48
1106.43
574.764
968.125
511.0U8
860.556
460.025
774.500
27
760.812
1291.11
656.944
1106.67
574.936
968.333
511.101
860.741
460.162
774.667
28
700.536
1291.39
657.137
1106.90
575.105
968.542
511.310
860.926
460.297
774.833
29
766.761
1291.67
657.329
1107.14
575.273
968.750
511.460
861 111
460.432
775.000
30
760.990
1291.94
657 . 526
1107.38
575.445
968.958
511.613
861.290
460.570
775.167
31
707.219
1292.2,
657.722
1107.62
575.617
969.167
511.766
861.481
460.707
775.333
32
707.449
1292.50
657.919
1107 86
575.789
969.375
511.919
861.667
460.845
775.500
33
707.078
1292.78
658.115
1108.10
575.961
969.583
512.072
861.852
460.983
775.667
34
707.907
1293 0(3
658.312
1108.33
576.133
969.792
512.225
862.037
461.120
775.833
35
768.137
1293 33
658.508
1108.57
576.305
970.000
512.378
862.222
461.258
776.000
30
708.306
1293.61
658.705
1108.81
576.477
970.208
512.531
862.407
461.396776.167
37
768.595
1293.89
658.902
1109.05
576.649
970.417
512.684
862.593
461.534776.333
38
768.824
1294.17
659.098
1109.29
576.821
970.62,-)
512.837
862.778
461.671
776.500
39
769.054
1294.44
659.295
1109.52
576.994
970.833
512.990
862.963
461.809
776 . 667
4O
709.283
1294.72
659.491
1109.76
577.166
971.042
513.142
863.148
461.947)776.833
41
709.512
1295.00
659.688
1110.00
577.338
971.250
513.295
863.333
462.084
777.000
42
709.742
1295.28
659 . 884
1110.24
577.510
971.458
513.448
863 519
462.222
77". 167
43
769.971
1295.50
660.081
1110.48
577.682
9,1.667
513.601
863.704
462. 360 77'". 333
44
770.200
1295.83
660.277
1110.71
577.854
971.875
513.754
863.889
462.497 77". 500
45
770.429
1296.11
660.474
1110.95
578.026
972.083
513.907
864.074
462.635 77". 667
40
770.659
1296.3!)
660.671
1111.19
578.198
972.292
514.000
864.259
4 62. 773 '77". 833
47
770.888
1296.67
660.867
1111.43
578.370
972.500
514.213
864.444
462 910 778.000
48
771.117
1296.94
661.064
1111.67
578.542
972.708
514.366
864.630
463.048778.167
49
771.347
1297.22
661.260
1111.90
578.714
972.917
514.519
864.815
463.186'778.333
50
771.576
1297.50
661.457;ill2.14
578.886
973.125
514.672
865.000
463.323778.500
51
771. 805 '1297. 78
661.653 1112.38
579^058
973.333
514.825
865.185
463.461 778.667
52
772.034 '1298.06
0(51.850 1112.62
579.230
973.542
514.978
865.370
463.599778.833
53
772.264 1298.88
662.047
1112.86
579.402
973.750
515.131
865.556
463.737779.000
54
772.493 1298.61
662.243
1113.10
579.574
973.958
515.284
865.741
463.874779.167
55
772.72^:1298.89
662.440
1113.33
579.746
974.167
515.437
865.926
464.012779.333
50
772.9521299.17
062. 63C>
1113 57
579.918
974.375
515.590
866.111
464.150779.500
57
773.181 1299.44
662.833 1113.81
580.090
974.583
515.743
866.296
464.287779.667
58
773.4101299.72
663.029 1114.05
580.262974.792
515.890
866.481
464 425779.833
59
201
TABLE XIV. — ACTUAL TANGENTS, ETC.
78°
1° Cnrve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M7
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
2000.00
Tan.
Arc.
Tan. Arc.
o
4639.767800.002319.96
3900.00
1546.74
1160.16
1950.00
928.235
1500.00
1
4641.16 7801.672320 60
3900.83
1547.21
2600.50
1160.51
1950.42
928.515
1560.33
3
4012. 56 7803. 33
2321.37
3901.07
1547.68
2001.11
1100.87
1950.83
928.790
1500.07
3
4043.94 7805.00
2322.05
3902.50
1548.14
2601.67
1101.21
1951.25
929.071
1501.00
4
4645.31 7806.67
2322.74
3903.33
1548.60
2602.22
1161.55
1951.67
929.347
1501.33
5
4646.697808.33
2323.43
3904.17
1549.06
2002.78
1161.90
1952.08
929.622
1501.07
6
4648.067810.00
0324 12
3905.00
1549.51
2003.33
1162.24
1952.50
929.897
1502.00
7
4649.447811.67
2324.80
3905.83
1549.97
2603.89
1162.58
1952.92
930.172
1502.33
8
4650.81 7813.33
2325.49
3906.67
1550.43
2604.44
1162.93
1953.33
930.447
1562.67
9
4652.22
7815.00
2326.19
3907.50
1550.90
2605.00
1163.28
1953.75
930.728
1563.00
1O
4653.62
7816.67
2326.90
3908.33
1551.37
2G05.56
1163.63
1954.17
931.009
1563.33
11
4655.00
7818.33
2327.58
39U9.17
1551.83
2606.11
1163.97
1954.58
931.284
1563 67
13
4656.37
7820.00
2328.27
3910.00
1552.28
2006.07
1164.32
1955.00
931.559
1564.00
13
4657.75
7821.67
2328.96
3910.83
1552.74
2007.22
1164.66
1955.42
931 . 834
1564.33
14
4659.12
7823 33
2329.65
3911.67
1553.20
2607.78
1165.01
1955.83
932.109
1564.67
15
4660.50
7825.00
2330.33
3912.50
1553.66
2608.33
1165.35
1956.25
932.384
1565.00
16
4661.87
7826.67
2331.02
3913.33
1554.12
2608.89
1165.69
1956.07
932.0591505.33
17
4663.28
7828.33
2331.72
3914.17
1554.59
•2609.44
1166.04
1957.C8
932.9401565.07
18
4004.68
7830.00
2332.43
3915 00
1555.05
2610.00
1166.40
1957.50
933.221 1500.00
19
4666.06
7831.67
2333.11
3915.83
1555.51
•2610.56
1166.74
1957.92
933.496
1566.33
30
4667.43
7833.33
2333.80
3916.67
1555.97
2611.11
1167.08
1958.33
933.771
1566.67
31
4008.83
7835.00
2334.50
3917.50
1550.41
2611.67
1107.43
1 958. 75
934 05-2
1567.00
33
4070.24
7836.67
2335.20
3918.33
1550.91
•2612.22
1167.79
1959.17
934.333
1507.33
33
4071.01
7838.33
2335.89
3919.17
1557.30
2612.78
1168.13
1959.58
934.008
1507.07
34
4672.99
7840.00
2330.58
3920.00
1557.82
2613.33
1168.47
11)00.00
934.883
1568.00
35
4674.30
7841 67
2337.27
3920 83
1558.28
2613.89
1168.8-2
1900.4-2
1)35.158
1508.33
36
4075.74
7843 33
2337.95
3921.67
1558.?'4
2014.41
1169.10
1900.83
935.433
1568.67
37
4077.14
7845.00
2338.00
3922.50
1559.21
2015.00
1109.51
11)01 25
935.714
1509.00
38
4078.55
7846.67
2339.30
3923.83
1559.68
2615.56
1169.86
11101.67
935 995
1569.33
39
4079.92
7848.33
2340.05
3924.17
1560.13
2016.11
1170.21
1962.08
936.270
1509.07
30
4681 30
7850.00
2340.73
3925.00
1560.59
2616.67
1170.55
1902.50
936.545
1570.00
31
4082.70
7851.67
•2341.44
3925.83
1501.00
2617.22
1170.90
1902.92
936.826
1570.33
33
4684.10
7853.33
2342.14
5926.671501.53
•2617.78
1171.25
1903.33
937.107
1570.07
33
4685.48
7855.00
2342 83
3927.50
1561.99
2618.33
1171.60
1903.75
937.382
1571.00
34
4086.85
7856.67
2343.51
3;)28.33
1562.45
2618.8'J
1171 94
1904.17
937.057
1571.33
35
4688.26
7858.33
2344.21
:;9.'9.17
1562.91
2619.44
1172.29
1904.58
937.938
1571.67
36
4689.60
7860.00
2344.92
;93i).00
1563.38
2620.00
1172.64
1965.00
938.219
1572.00
37
4691.06
7861.67
2345.62
3950.83
1563.85
2020.56
1172.99
1965.42
938.500
1572.33
38
4692.47
7863.33
2346.32
3911.67
1564.32
2621.11
11T3 34
1965.83
938.780
1572.07
39
4093.84
7865.00
2347.01
3932.50
1504.78
2621.67
1173.69
1966.25
939.056
1573.00
40
4695.22
7866.67
•2347.70
3933.33
1565.23
2622.22
M74 03
1966.67
939.331
1573.33
41
4696.02
7868.33
2348.40
3934.17
1565 70
20-22.78
1174.38
1967.08
939.611
1573.o7
43
4098.03
7870.00
2349.10
3935.00
1500.17
•2623.33
1174.73
1967.50
939.892
1574.00
43
4699.43
7871.67
2349.80
3935.83
1566.64
2623.89
1175.09
1967.92
940.173
1574.33
44
4700.83
7873.33
2350.50
3930.67
1567.11
2624.44
1175.44
1908.33
940.454
1574.07
45
4702.21
7875.00
2351.19
3937.50
1567.56
2025.00
1175.78
1908.75
940.729
1575.00
46
4703.58
7876.67
2351.88
3938.33
1568.02
2625.56
1176.12
1969.17
941.004
1575.33
47
47'04.99
7878.33
2352.58
3939.17
1568.49
2620.11
1176.47
1969.58
941.285
1575.07
48
4700.39
7880.00
2353.28
3940.00
1568.96
2620.07
1176.83
1970.00
1)41.566
1576.00
49
4707.80
7881.67
2353.98
3940.83
1569.43
2027.22
1177.18
1970.42
941.847
1576.33
5O
47'09.20
7883.33
2354.69
3941.67
1569.89
2627 78
1177.53
1970.83
942.128
1576.07
51
53
4710.57
4711.95
7885.002355.37
7886.67.2350.06
3942.50
3943.33
1570.35
1570.81
2028.33
2628.89
1177.87
1178.22
1971.25
1971.67
942.4031577.00
942.6781577.33
53
4713.35
7888.332356.763944.17
1571.28
2629.44
1178.57 1972.08
942.959 1577.07
54
4714.70
7890.002357.463945 00
1571.75
2030.00
1178.92
1972.50
943.239 1578.00
55
4716.16
789 1.67 12358. 17 3945. 83
157-2.22
•2030.50
1179.27
1972.9-2
943.520 1578.33
56
4717.56
7893.332358.873946.67
1572.68
•2031 . 1 1
li;9. 62
1973.33
943.801 1578.67
57
4718.97
7895.002359.573947.50
1573.15
2031.67
1179.97
1973.75
944.082 1571). 00
58
4720.37
7'890.07,'2300.273948.33
1573.62
•203-2.22
1180.32
1974.17
944.363 1579.33
59
4721.78
7898.33,2360 973949.17
1574.09
2632.78
1180.67
1974 58
944.644 1579.07
202
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
78°
Tan.
Arc.
Tan.
603.220
Arc.
nir.29
Tan. 1 Arc.
Tan.
Arc.
Tan.
Arc.
M.
778. wii
1300.00
580.434975.000
516.048
860 667
464.563
780.000
O
773.874 18UO. 28 6C3. 42?
1114.52
580.610
975.208
516.205
860. 852
464.703
780.167
1
74.1U8
1300.50
663.627
1114.70
580.785
975.417
516.361
867.037
464.844
780.333
2
74.337
1300.83
003.824
1115.00
580.957
975.625
516.514
867.222
464.981
780.500
3
74.50(5
1301.11
004.020
1115.2-1
581.129
975.833
516.667
867.407
465.119
780.067
4
74.795
1301.39
004.217
1115.48
581.301
976.042
516.820
867.593
465.257
780.833
5
75.025
1301.07
004.414
1115.71
581.473
976.250
516.972
867.778
465.394
781.000
6
75.254
1301.94
004.610
1115.95
581.645
976.458
517.125
807.963
405.532
781.167
7
75.483
1302.22
604.807
1116.19
581.817
976.067
517.278
868.148
405.670
781.333
8
775.717
1302.50
605.007
1116.43
581.993
976.875
517.435
808.333
465.810
781.500
9
775.951
1302.78
665.208
1116.67
582 169
977 083
517.591
868.519
465.951
781.667
10
770.181
1303.00
005.405
1116.90
582. 341
977.292
517.744
868.704
466.089
781.833
11
776.410
1303.33
005.0'Jl
1117.14
582.513
977.500
517.897
868.889
466.220
782.000
12
70.639
1303.01
065.798
1117.38
582.685
977.708
518.049
869.074
466.364
782.167
13
76.809
1303.89
005.994
1117.02
582.857
977.917
518.202
869.259
466.502
782.333
14
77.098
1304.17
000.191
1117.80
583.029
978.125
518.355
809.444
466.639
782.500
15
77.887
1304.44
600.387
1118.10
583.201
978.333
518.508
869.630
406.777
782 667
16
77.501
1304.72
600.588
1118.33
583.370
978.542
518.664
869.815
466.918
782.833
17
777.795
1305.00
006 . 789
1118.57
583.552
978.750
518.821
870.000
467.058
783.000
18
778.025
1305.28
600.985
1118.81
583.724
978.958
518.974
870.185
467.196
783.167
19
778.254
1305.56
667.182
1119.05
583.890
979.167
519.126
870.370
467.334
783.333
20
778. 48« 11305. 83
067.382
1119.29
584.072
979.375
519.283
870.556
467.474
783.500
21
778.1*2
1300.11
667.583
1119.52
584.247
979.583
519.439
870.741
467.615
783.667
22
778.951
1300.39
067.780
1119.70
584.419
979.792
519.592
870.926
467.752
783.833
23
779 181
1300.07
667.970
1120.0U
584.591
980.000
519.745
871.111
467.890
784.000
24
779.410
1306.94
008.173
1120.24
584.763
980.208
519 898
871.296
468.028
784 167
25
779.039
1307.22
668.369
1120.48
584.935
980.417
520.050
871.481
468.105
784.333
26
779.873
1307.50
668 . 570
1120.71
585.111
980.625
520.207
871.607
468.300
784.500
27
780.107
1307.78
008.771
1120.95
585.287
980.83;}
520. 30S
871.852
408.447
784.667
28
780.337
1308.00
008.967
1121.19
.185.459
981.042
520.516
872.037
408.584
784.833
29
780.560
1308.33
669.164
1121.43
585.631
981.250
520.669
872.222
468.722
785.000
30
780.800
1308.61
(J69.365
1121.67
585.806
981.458
520.825
872.407
468.862
785.167
31
781.084
1308.89
609.565
1121.90
585.982
981.607
520.981
872.593
469.003
785.333
32
781.208
1309.17
009.702
1122.14
586.154
981.875
521.134
872.778
409.141
785.500
33
781.493
1309.44
009.958
1122.38
586.320
982.083
521.287
872.903
409.278
785.i>67
34
781.727
1309.72
070.159
1122.62
580.502
982.29*
521.443
873.148
409.419
785.833
35
781.961
1310.00
070.300
1122.80
586.677
982.500
521.599
873.333
409.559
786.000! 36
782.195
1310.28
070.500
1123.10
586.853
982.708
521.755
873.519
469.700
786.167
37
782.429
1310.56
070.701
1123.33
587.028
982.917
521.911
873.704
469.841
786.333
38
782. 058 j 13 10. 83
670.958
1123.57
587.200
983.125
522.064
873.889
409.978
786.500
39
782.887
1311.11
671.154
1123.81
587.372
983.333
522.217
874.074
470.116
786.667
40
783. 122' 131 1.39
671.355
1124.05
587.548
983.542
522.373
874.259
470.257
786. 833 ! 41
783.350
1311.67
671.555
1124.29
587.724
983.750
522.529
874.444
470.397
787.000 42
783.590
1311.94
671.756
1124.52
587.899
983 958
522.686
874.030
470.538
787.107:43
783.824 1312.22
671.957
1124.76
588.075
984.107
522.842
874.815
470.678
787.333' 44
784.053
1312.50
672.153
1125.00
588.247
984.375
522.995
875.000
470.810
787.500: 45
784.282
1312.78
672.350
1125.24
588.419
984.583
523.148
875.185
470.954
787.607 46
784.510
1313.00
67'2.550
1125.48
58S.595
984.792
.323.304
875.37X)
471.094
787.833 47
784.750
1313.33
672.751
1125.71
588.770
985.000
523.460
875.550
471.235
7'88.000 48
784.984
1313.61
072.952
1125.95
588.946
985.208
523.016
875.741
471.375
788.167
49
785.219
1313.89
673.152
1126.19
589.121
985.417
523.772
875.926
471.516
788.333
5O
785.448
1314.17
073.349
1126.43
589.293
985.625
523.925
876.111
471.053
788.500 51
785.077
1314.44
073.540
1126.67
589.465
985.833
524. 078! 870. 296
471.791
788.007 52
785.911
1314.72673.740
1126.90
589.641
986.042
524.234
876.481
471.9^--
788.833 53
780.145! 1315. 00 ! 673. 947
1127.14
589.817
986.250
524.390
876.007
472.072
789.000 54
786.379 131 5. 28674.148
1127.38
589.992
980.458
524.546
876.852
472.213
789.107 55
786.613
1315. 50:674. 348
1127.62
590.168
986.067
524.703
877.037
472.353
789.333 50
786.847
1315.83:674.549
1127.80
590.344
986.875
524.859
877.222
472.494
789.500 57
787.08',' 1316. 11 '674. 750
1128.10
590.519
987.083
525.015
877.407
472.034
789.007 58
787. 31611316. 39'674. 950
1128.33590.095
987.292
525.171
877.593
472.775
789.833 59
203
TABLE XIV. — ACTUAL TANGENTS, ETC.
79°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
4723.18
7900.00
2361.683950.00
1574.56
2633.33
1181.02
1975.00
944.924
1580.00
1
4724.58
7901.67
2362.383950.83
1575.02
2633. 89
1181.37
1975.42
945.205
1580.33
3
4725.99
7903.33
2363.083951.67
1575.49
2634.44
1181 73
1975.83
945.486
1580.67
3
4727.3t
7905.00
2363.773952.51
1575.95
2635.00
11S2.01
1976.25
945.761
1581.00
4
4728.7'!
7906.67
2364.463953.33
1576.41
2635.50
1182.41
1976.67
946.036
1581.33
5
4730.14
7908.33
2365.163954.17
1576.88
2636.11
1182.76
1977.0;*
946.311
1581.67
6
4731.51
7910.00
2365.863955.00
1577.34
2636.67
1183.12
11)77.50
946.598
1582.00
7
4~.5W.tto
7911.67
2366.563955.83
1577.81
2637.22
1183.47
1977.92
946.879
1582.33
8
473 L 35
7913.33
2367.263956.67
1578.28
2637.78
1183.82
1978.33
947.161
1582.67
9
4735.76
7915.00
2367.963957.50
1578.75
2638.33
1184.17
1978.75
947.441
1583.00
10
4737.16
7916.67
2368.673958.33
1579.22
2638.89
1184.52
1979.17
947.721
1583.33
11
4738.56
7918.33
2369.373959.17
1579.68
2639.44
1184.87
1979.5S
948.002
1583.67
13
4739.97
7920.00
2370.073960.00
1580.15
2640.00
1185 22
1980.00
948.28-3
1584.00
13
4741.37
7921.67
2370.773960.83
1580.62
2640.56
1185.57
1980.42
948.564
1584.33
14
4742. ',8
7923.33
2371.473961.67
1581.09
2641.11
1185.92
1980.83
948.845
1584.67
15
4744.18
7925.00
2312.183962.50
1581.56
2641.67
1186.2:
1981.25
949.126
1585.00
16
4745.58
7926.67
2372.8831)63.33
1582.02
2642.22
1186.63
1981.67
949.400
1585.33
17
4746.99
7928.33
2373.583964.17
1582.49
2642.78
1186.9S
1982.0s
949. 6S7
1585.67
18
4748.39
7930.00
2374. 28 3965. OJ
1582.96
2643.33
1187.33
1982.50
949.968
1586.00
19
4749.79
7931.67
2374.983965.83
1583.43
2643.89
1187.68
1982.92
950.249
1586.33
20
4751.20
7933.33
2375.693966.67
1583.90
2644.44
1188.03
1983.3:^
950.530
1586.67
31
4752.60
7935.00
2376.393967.50
1584.36
2645.00
1188.38
1983.75
1)50.811
1587.00
33
4754.01
7936.67
2377. 09 3968. 33
1584.83
2645.56
1188.73
1984.17
951.091
1587.33
33
4755.44
7938.33
2377.81 3969.17
1585.31
2646.11
1189.09
1984.58
951.378
1587.67
34
4756.87
1910.00
2378.523970.00
1585.79
2646.67
1189.45
1985.00
951.665
1588.00
35
4758.21
7941.67
2379.223970.83
1586.25
2647.22
1189.80
1985.42
951.945
1588.33
36
4759.68
i 9 43. 33
2379.933971.67
1586.72
2647.78
1190.15
19S5.83
952.226
1588.67
37
4761.08
7945.00
2380.633972.50
1587.19
2648.33
1190.50
1986.25
952.507
1589.00
38
4762 49
7946.67
2381.333973.33
1587.66
2648.89
1190.85
19S6.67
952.788
1589.33
39
4763.89
7948.33
2382.033974.17
1588.13
2649.44
1191.20
1987.08
953.069
1589.67
30
4765.29
7950.00
2382.733975.00
1588.59
2650.00
1191.55
1987.50
953.350
1590.00
31
4766.70
7951.67
2383.443975.83
1589.06
2650.56
1191.90
1987.92
953.630
1590.33
33
4768.10
7953.33
2384.143976.67
1589.53
2651.11
1192.26
1988.33
953.911
1590.67
33
4769.53
7955.00
2384.853977.50
1590.01
2651.67
1192.61
1988.75
954.198
1591.00
34
4770.96
7956.67
2385.573978.33
1590.49
2652.22
1192.97
1989.17
954.484
1591.33
35
4772.37
7958.33
2386.273979.17
1590.95
2652.78
1193.32
1989.58
954.765
1591.67
36
4773.77
7960.00
23S6.973980.00
1591.42
2653.33
1193.67
1990.00
955 046
1592.00
37
4775.18
7961.67
2387.683980.83
1591.89
2653.89
1194.03
191)0.42
955.327
1592.33
38
4776 58
7963.33
2383.383981.67
1592.36
2654.44
1194.38
1990.83
955.608
1592.67
39
4777.98
7965.00
2339. OS 3982.50
1592.83
2655.00
1194.73
1991.25
955.889
1593.00
40
4779.39
7966.67
2389.783983.33
1593.29
2655.56
1195.08
1991.67
956.169
1593.33
41
4780.82
7968.33
2390 5u 3984. 17
1593.77
2656.11
1195.44
1992.08
956.456
1593.67
43
4782.25
7970.00
2391.21 5985.00
1594.25
2656.67
1195.79
1992.50
956.743
1594.00
43
4783.66
;9M.67
239 1.92 3 JS5. 83
1594.72
2657.22
1196.15
1992.92
957.023
1594.33
44
4785.06
7973.33
2392.623JS6.67
1595.18
2657.78
1196.50
1993.33
957.304
1594.67
45
4786.49
7975.00
2393.333987.50
1595.66:2658.33
1196.85
1993.75
957.591
1595.00
46
4787 . 92
J 976. 67
2394.053988.33
1596. 14 : 2658. 89
1197.21
1994.17
i)57 . 877
1595.33
47
4789.33
7978.33
2394.753989.17
1596.61 2659.44
1197.56
1994.58
958.158
1595.67
48
4790.73
7980.00
2395.453990.00
1597.082660.00
1197.92
1995.00
958.439
1596.00
49
4792.14
7981.67
2396.163990.83
1597.542660.56
1198.27
1995.42
958.720
1596.33
50
4793 54
7933.33
2396.863991.67
1598.01
2661.11
1198.62
1995.83
959.001
1596.67
51
4794.97
7985.00
2397.573992.50
1598.49
2661.67
1198.98
1996.25
959.287
1597.00
53
4796.40
7986.67
2398.293993.33
1598.97
2662.22
1199.33
1996.67
959.574
1597.33
53
4797.81
7988.33
2398.91)3994.17
1599.43
2662.78
1199.68
1997.08
959.855
1597.67
54
47'.i9.21
7990.00
2399.693995.00
1599.90
2663.33
1200.04
1997.50
)60.136
1598.00
55
1800.64
7991 . 67
2400.41 8995.83
1600.38
2663.89
1200.39
1997.92
%0.422
1598.33
56
4802 OS
7993. 3 i
2401.133996.67
1600.86
2664.44
1200.75
1998.33
960.709
159S.67
57
4S03.48
7995.00
2401.83391)7.50
1601.33
2(565.00
1201.10
1998.75
%0.990
1599.00
58
4804.88
7996.67
2402.533998.33
1601.79
2605.56
1201.45
1999.17
K5 1.270
1599.33
59
4806.32
7998.33
2403.25:3999.17
1602. 2712666. Ill 1201. 81
1999.58
961.557
1599.67
204
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
79°
Tan.
Arc.
Tan.
675 . 1 51
Arc.
Tan.
Arc.
987.500
Tan.
525.327
Arc.
S77.778
Tan.
Arc.
790.000
^iT
787.550
1310.67
1128.57
590.870
472.916
o
787.784
1316.94
675.352
1128.81
591.046
987.708
525.483
877.963
473.056
790.167
i
788.018
1317.22
675.552
1129.05
591.222
987.917
525.639
878.148
473.197
790.333
2
788.24?
1317.50
675.749
1129.29
591.394
988.125
525.792
878.333
473.334
790.500
3
788.476
1317.78
675.945
1129.52
591.566
988.333
525.945
878.519
473.472
790.667
4
788.710
1318.06
676.146
1129.76
591.741
988.542
526.101
878.704
473.613
790.833
5
788.944
1318.33
676.347
1130.0J
591.917
988.750
526.258
878.889
473.753
791.000
6
789.179
1318.61
676.547
1130.24
592.092
988.958
526.414
879.074
473.894
791.167
7
789.413
1318.89
676. 74S
1130.48
592.268
989.167
526.570
879.259
474.034
791.333
8
789.647
1319.17
076.949
1130.71
592.444
989.375
526.726
879.444
474.175
791.500
9
789.881
1319.44
677.149
1130.95
592.619
989.583
526.882
879.630
474.315
791.667
1O
790.115
1319.72
677.350
1131.19
592.795
989.792
527.038
879.815
474.456
791.833
11
790.849
1320.00
677.551
1131.43
592.971
990.000
527.194
880.000
474.596
792.000
13
790.583 1320. 28
677.751
1131.67
593.146
990.208
527.350
880.185
474.7*7
792.167
13
790.817
1320.56
677.952
1131.90
593.322
990.417
527.507
880.370
474.878
792.333
14
791.051
1320.83
678.153
1132.14
593.497
990.625
527.663
880.556
475.018
792.500
15
791.285
1321.11
678.353
1132.38
593.673
990.833
527.819
880.741
475.159
792.667
16
791.519
1321.39
678.554
1132.62
593.849
991.042
527.975
880.926
475.29i>
792.833
17
791.753
1321 .67
678.755
1132.86
594.024
991.250
528.131
881.111
475.440
793.000
18
791.987
1321.94
678.955
1133.10
594.200
991.458
528.287
881.296
475.580
793.167
19
79-3.221
1322.22
679.156
1133.33
594.375
991.667
528 443
881.481
475.721
793 333
30
792.455
1322.50
679.357
1133.57
594.551
991.875
528.599
881. 6071475. 861
793.500
31
792. G90
1322.78
679.557
1133.81
594.727
992.083
528.756
881.852
476.002
793.66;
33
792.928
1323.06
679.762
1134.05
594.906
992.292
528.915
882.037
476.145
793.833
33
793.167
1323.33
679.967
1134.29
595.085
992.500
529.074
882.222
476.289
794.000
34
793.401
1323.61
680.167
1134 52
595.261
992.708
529.230
882.407
476.429
794.167
25
793.635
1323.89
680.368
1134.76
595.436
992.917
529.387
882.593
476 570
794.333
36
793.869
1324.17
680.569
1135.00
595.612
993.125
529.543
882.778
476.711
794.500
37
791.103
1324.44
680.769
1135.24
595.787
993.333
529.699
882.963
476.851
794.667
38
794.338
1324.72
680.970
1135.48
595.963
993.542
529.855
883.148
476.992
794.833
39
794.572
1325.00
681.173
1135.71
596.139
993.750
530.011
8S3.333
477.132
795.000
30
794.806
1325.28
681.371
1135.95
596.314
993.958
530.167
883.519
47". 273
795.167
31
795.040
1325.56
681.572
1136.19
596.490
994.167
530.323
883.704
47". 4 13
795.333
33
795.279
1325.83
681.777
1136.43
596.669
994.375
530.483
883.889
47". 557
795.500
33
795.517
1326.11
681.982
1136.67
596.848
994.583
530.642
884.074
47". 700
795.667
34
795.752
1326.39
682.182
1136.90
597.024
994.792
530.798
884.259
47". 841
795,833
35
795.986
1326.67
682.383
1137.14
597.200
995.000
530.954
884.444
4 7". 981
796.000
36
796.220
1326.94
682.584
1137.38
597.375
995.208
531.110
884.630
478.122
796.167
37
796.454
1327.22
682.784
1137.62
597.551
995.417
531.266
884.815
478.262
796.333
38
796.688
1327.50
682.985
1137.86
597.726
995.625
531.423
885.000
478.403
796.500
39
796 . 922
1327.78
683.185
1138.10
597.902
995.833
531.579
885.185
478.543
796.667
4O
797.161
1328.06
683.390
1138.33
598.081
996.042
531.738
885.370
478 687
796.833
41
797.400
1328.33
683.595
1138.57
598.260
996.250
531.897
885.556
478.830
797.000
43
797.634
1328.61
683.796
1138.81
598.436
996.458
532.053
885.741
478.971
797.167
43
797. 868 '1328. 89
683.996
1139.05
598.612
996.667
532.210
885.926
479.111
797.333
44
798.1 0(H329. 17
684.201
1139.29
598.791
996.875
532.369
886.111
479.255
797.500
45
798.345 1329.44
684.406
1139.52
598.970
997.083
532.528
886.296
47'9.398
; 97. 667
46
798.57<);1329.7'2
684.606
1139.76
599.146
997.292
532.684
886.481
479.539
797.833
47
798.813
1330.00
684.8071140.00
599.321
997.500
532.841
886.667
479.679
798.000
48
799.048
1330.28
685.008
1140.24
599.497
997.708
532.997
886.852
479.820
798/167
49
799.282
1330.56
685.208
1140.48
599.672
997.917
533.153
887.037
479.960
798.333
5O
799.520
1330.83
685.413 1140 71
599.852
998.125
533.312
887.222
480.104
798.500
51
799.759
1331.11
<5S5.(>18!1140.95
600.031
998.333
533.471
887.407
480.247
79S.667
53
799.993
1331.39
(K). 819 1141.19
600.206
998.542
533.628
887. 593 480. 38S
798.833
53
800 22;
1331.6;
OSti.019 1141.43
600.382
998.750
533.784
887. 77'8 1480.528
799. OCX)
54
800.466
1331.94
i.SS.224,1141.67
600.561
998.958
533.943
887. 963 480.67'2
799.167
55
800.705
1332.32
686. 129
1141.90
600.740
999.167
534.102
888.148480.815
799.333
56
800.939
1332.50
086.629
1142.14
600.916
999.375
534.258
888.333480.956
799.500
57
801.173
1332.78
(586.830
1142.38
601.092
999.583
534.415
888.519481.096
799.667
58
801.412
1333.06
687.035
1142.62
601.271
999.792
534.574
888.704481.240
799.833
59
205
TABLE XIV. — ACTUAL TANGENTS, ETC.
8O°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~~O~
Tun.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. 1 Arc.
Tan.
Arc.
4807.75
8000.00
2403.96
4000.00
1602.75
2666.67
1202.17j2000.00
961.844
1600.00
1
4809.18
8001.67
2404.68
4000.83
1603.23 2667.22
1202.53:2000.42
962.130
1600.33
2
4810.61
8003.33
2405.40
4001.67
1603.70
2667.78
1202.89
2000.83
962.417
1600.67
3
4812.02
8005.00
2406.10
4002.50
1604.17
2668. 33
1203.24
2001.25
962.698
1601.00
4
4813 42
8006.67
2406.80
4003.33
1604.64
2668.89
1203.59
20U1.67
962.978
1601.33
5
4814.85
8008.33
2407.52
4004.17
1605.12
2669.44
1203.95
2002.08
963.265
1601.67
6
4816.29
8010.00
2408.23
4005.00
1605.59
2670.00
1204.30
2002.50
963.552
1602.00
7
4817.69
8011.67
2408.93
4005.83
1606.06
2670.56
1204.66
2002.92
963.832
1602.33
8
4819.09
8013.33
2409.64
4006.67
1606.53
2671.11
1205 01
2003.33
964.113
1602.6?
9
4820.53
8015.00
2410.35
4007.50
1607.01
2671.6?
1205.37
2003.75
964.400
1603.00
10
4821 96
8016.67
2411.07
4008.33
1607.49
2672.22
1205.72
2004.17
964.686
1603.33
11
4823. 3'J
8018.33
2411.78
4009.17
1607.96
2672.78
1206.08
2004.58
964.973
1603.67
13
4824.82
8^0.00
2412.50
4010.00
1608.44
2673.33
1206.44
2005.00
965.259
1604.00
13
4826.26
8021.67
2413.22
4010.83
1608.92
2673.89
1206.80
2005.42
965.546
1604.33
14
4827.69
8023.33
2413.93
4011.6?
1609.40
2674.44
1207.16
2005.83
965.833
1604.67
15
4829.09
8025.00
2414.63
4012.50
1609.86
2675.00
1207.51
2006.25
966.113
1605.00
16
4830.50
8026.67
2115 34
4013. 33
1610.33
2675.56
1207.86
2006.67
966.394
1605.33
17
4831 . 93
8028.33
2416.05
4014.17
1610.81
2676.11
1208.22
2007.08
966.681
1605.67
18
4833.36
8030.00
2416.77
4015.00
1611.29
2676.67
1208.57
2007.50
966.967
1606.00
19
4834.79
8031.67
2417.49
4015.83
1611.76
2677.22
1208.93
2007.92
967.254
1606.33
30
4836.23
8033.33
2418.20
4016.67
1612.24
2677.78
1209.29
2008.33
967.541
1606.67
21
4837.66
8035.00
2418.92
4017.50
1612 72
2678.33
1209.65
2008.75
967.827
1607.00
22
4839.09
8036.67
2419.63
4018.33
1613.20
2678.89
1210.01
2009.17
968.114
1607.33
23
1840.5 J
8038.33
2420.35
4019.17
1613.67
2679.44
1210.37
2009.58
968.400
1607.67
34
4841.96
8040.00
2421.07
4020.00
1614.15
2680.00
1210.72
2010.00
968.687
1608.00
25
4843.36
8041.67
2421.77
4020.83
1614.62
2680.56
1211.07
2010.42
968.968
1608.33
26
4844.76
8043.33
2422.47
4021.67
1615.09
2681.11
1211.43
2010.83
969.249
1608.6?
21
4846.20
8045.00
2423.19
4022.50
1615.56
2681.6?
1211.78
2011.25
969.535
1609.00
2$
4847 63
8046.67
2423 90
4023.33
1616.04
2682.22
1212.14
2011.67
969.822
1609.33
39
4849.06
8048.33
2424.62
4024.1?
1616.52
2682.78
1212.50
2012.08
970.106
1609.67
30
4850.49
8050.00
2425.34
4025.00
1617.00
2683.33
1212.86
2012.50
970.395
1610.00
31
4851.92
8051.67
2426.05
4025.83
1617.47
2683.89
1213.22
2012.92
970.681
1610.33
33
4853.36
8053.33
2426.77
4026.67
1617.95
2684.44
1213 57
2013.38
970.968
1610.67
33
4854.79
8055.00
2427.48
4027.50
1618.43
2685.00
1213.93
2013.75
971.255
1611.00
34
4856.22
8056.6?
2428.20
4028.33
1618.91
2685.56
1214.29
2014.17
971.541
1611.33
35
4857.65
8058.33
2428.92
4029.1?
1619.38
'2686.11
1214.65
2014.58
971.828
1611.67
36
4859.09
8060.00
2429 63
4030.00
1619.86
2686.67
1215.01
2015.00
972.114
1612.00
37
4860.52
8061.67
2430.35
4030.83
1620.34
2687.22
1215.3?
2015.42
972.401
1612.33
38
4861.95
8063.33
2431.07
4031.6?
1620.82
2687.78
1215.72
2015.83
972.687
1612.67
39
4863.38
8065.00
2131.78
4032.50
1621.30
2688.33
1216.08
2016.25
972.974
1613.00
40
4864.82
8066.67
2132.50
4033.33
1621.77
2688.89
1216.44
2016.67
973.260
1613.33
41
4866.25
8068.33
2433.21
4034.1?
1622.25
2689.44
1216.80
2017.08
973.547
1613.67
43
4867.68
8070.00
2133.9:5
4035.00
1622.73
2C90.00
1217.16
2017.50
973.834
1614.00
43
4869.11
8071.67
2434.65
1035.83
1623.21
2690.56
1217.51
2017.92
974.120
1614.33
44
4870.55
8073.33
2435.36
4036.67
1623.08
2691.11
1217.87
2018.33
974.407
1614.67
45
4872.01
8075.00
2436.09
4037.50
1624.17
2691.67
1218.24
2018.75
974.699
1615.00
46
4873.47
8076.6;
2436.82
4038.33
1624.66
2692.22
1218.60
2019.17
974.991 1615.33
47
4874.90
8078.33
2437.54
4039.17
1625.13
2692.78
1218.96
2019.58
975.278 1615.67
48
4876.33
8080.00
2438.26
4040.00
1625.61
2693.33
1219.32
2020.00
975.565 1616.00
49
4877.77
8081.67
2438.9?
4040.83
1626.09
2693.89
1219.68
2020.42
975.851
1616.33
50
4879.20
8083.33
2439.69
4011.6?
1626.57
2694.44
1220.04
2020.83
976.138
1616 67
51
4880.63
8085.00
2440.40
4042.51
1627.04
2695.00
1220.39
2021.25
976.424 1617.00
53
4882.06
8086.67
2441.12
4043.3°
1627.52
2695.56
1220.75
2021.6?
976.711! 161 7. 33
53
4883.50
80S8.33
2441.84
4044.1?
1628.00
2696.11
1221.11
202 .'.08
976.99?
1617.67
54
4884.93
8090.00
2442.55
4045.00
1628.48
2696.67
1221.47
-,'022.50
977.284
1018.00
55
4886.39
8091.67
2443.28
4045.83
1628.96
2697 22
1221.83
2022 .92
977.576
1618.33
56
1887.85
8093.33
2444.01
4046.67
1629.45
2697.78
1222 20
2023.33
977.869
1618.67
57
188',). 28
8095.00
2444.73
1047.50
1629.93
2698.33
1222.56
2023.75
978.155
1619.00
58
4890. 71! 8096. 67
2445.45
4048.33
1630.41
2698.89
1222.92
2024.17
978.442
1619.33
59
4892.1518098.33
2446.16
4049.1?
1630.88
2699.44
1223.272024.58
978.728
1619.67
206
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
80°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
31.
801.651
1333733
687.240
1142.86
601.450
1000.00
534.733
888.889
481.383
800.000
~o"
801.890
1333.61
687.444
1143.10601.6:29
1000.21
534.893
889.074
481.527
800.167
1
802.129
1333.89
687.649
1143.33601.808
1000.42
535.052
889.259
481.670
800.333
9
802 363
1334.17
687.850
1143 57
601. 98 1
1000.63
535.208
889.444
481.811
800.500
3
802.597
1334.44
688.050
1143.81
602.160
1000 83
535.364
889.630
481.951
800.667
4
802.886
1334.72
688.255
1144.05
602.339
1001.04
535.523
889.815
482.095
800.833
5
803.074
1335.00
688.460
1144.29
602.518
1001.25
535.683
890.000
482 238
801.000
6
803.308
1335.28
688.661
1144.52
602.694
1001.48
535.839
890.185
482.379
801.167
7
803.543
1335.50
688.861
1144.76
602.869
1001.67
535.995
890.370
482.519
801.333
8
803.781
1335.83
689.066
1145.00
603.048
1001.88
536.154
890.556
482 663
801.500
9
804.020
1336.11
689.271
1145.24
603.228
1002.08
536.314
890.741
482.806
801.667
1O
804.259
1336.39
689.476
1145.48
603.407
1002.29
536.473
890.926
482.949
801.833
11
804.498
1336.67
689.680
1145.71
603.586
1002.50
536.632
891.111
483.093
802.000
13
804.737
1336.94
689.885
1145.95
603.765
1002.71
536.792
891.296
483.236
802.167
13
804.976
1337.22
690.090
1146.19
603.944
1002.92
536.951
891.481
483.380
802.333
14
805.210
1337.50
690 290
1146.43
604 . 120
1003.13
537.107
891 667
483.520
802.500
15
805 444
1337.78
OW.4-J1
1146.67
604.296
1003.33
537.263
891.852
483.661
802 (567
16
805.683
1 338.06
690.696
1146.90
604 475
1003.54
537.422
892.037
483.804
802.833
17
805.9-21
1 :«M . 33
690.901
1147.14
604.654
1003.75
537.582
892 222
483.948
803.000
18
806.160
1338.61
691.105
1147.38
604.833
1003.96
537.741
892.407
484.091
803.167
19
806.399
1338.89
691.310
1147.62
605.012
1004.17
537.900
892.593
484.234
803.333
20
806.638
1339.17
691.515
1147.86
60'). 192
1004.38
538.060
892.778
484.378
803.500
31
806.877
1339.44
691.720
1148.10
605.371
1004.58
538.219
892.963
484.521
803.667
33
807.116
1339.72
691.924
1148.33
605.550
1004.79
538.378
893.148
484.665
803.833
33
807.354
1340.00
692.129
1148.57
605.729
1005.00
538.538
893.333
484.808
804.000
34
807.589
1340.28
692.330
1148.81
605.905
1005.21
538.694
893.519
484.949
804.167
35
807.823
1340.56
692.531
1149.05
606.080
1005.42
538.850
893.704
485.089
804.333
36
808.061
1340.83
692.735
1149.29
606.260
1005.63
539.009
81)3.889
485.233
804.500
37
808.300
1341.11
692.940
1149.52
606.439
1005.83
539.169
894.074
485.376
804.667
38
808.539
1341.39
693.145
1149.76
606.618
1006.04
539.328
894.259
485.520
804.833
39
808.778
1341.67
693.350
1150.00
606.797
1006.25
539.487
894.444
485.663
805.000
30
809.017
1341.94
693 554
1150.24
606.976
1006.46
539.647
894.630
485.806
805.167
31
809.256
1342.22
693.759
1150.48
607.156
1006.67
539.806
894.815
485.950
805.333
33
809.495
1342.50
693.964
1150.71
607.335
1006.88
539.965
895.000
486.093
805.500
33
809.733
1342.78
694.169
1150.95
607.514
1007.08
540.125
895.185
486.237
805.667
34
809.972
1343.06
694.373
1151.19
607.693
1007.29
540.284
895.370
486.380
805.833
35
810.211
1348.88
694.578
1151.43607.872
1007.50
540.443
895.556
486.523
806.000
36
810.450
1343.61
694.783
1151.67 608.052
1007.71
540.602
895.741
486.667
806.167
37
810.689
1343.89
694. 98S
1151.90
608.231
1007.92
540.762
895.926
486 810
806.333
38
810.928
1344.17
695.192
1152.14
608.410
1008.13
540.921
896.111
486.954
806.500
39
811.166
1344.44
695.307
1152.38
608.589
1008.33
541.080
896.296
487.097
806.667
4O
811.405
1344.72
695.602
1152.62
608.768
1008.54
541.240
896.481
487.241
806.833
41
811.644
1345.00
695.807
1152.86
608.948
10C8.75
541.399
896 . 667
487.384
807.000
43
811.883
1345.28
696.011
1153.10
609.127
1008 96
541.558
896.852
487.527
807.167
43
812.122
1345.56
696.216
1 153.33
609.306
1009.17
541.718
897.037
487.671
807.333
44
812.365
1345.83
696.425
1153,57
609. 4K9
1009.38
541.880
897.222
487.817
807.500
45
812.609
1346.11
696.634
1153.81
609.672
1009.58
542.043
897.407
487.963
807.667
46
812.848
1346.39
696.839
1154.05
609.851
1009.79
542.202
897.593
488.107! 807. 833
47
813.087
1346.67
697.043
1154.29
610.030
1010.00
542.361
897.778
4H8.850 808.000
48
813.326
1346.94
697.248
1154.52
610.209
1010.21
542.521
897.963
488. 394 1 808. 167
49
813.564
1347.22
697.453
1154.76
610.388
1010.42
542.680
898.148
488.537
808.333
5O
813.808
1347.50
697.658
11 55. 00! 610. 567
1010.63
542.839
898.333
488.681
808.500
51
814.04-2
1347.78
697.86-2
1155.24 610.747
1010.83
542.999
898.519
488.824
808.067
53
814.281
1318.06
698.067
1155.48610.926
1011.04
543.158
898.704
488.967
808.833
53
814.540
1348.33
698.272
1155.71 611.105
1011.25
543 317
898.889
489.111
809.000
54
814.763
1348.61
698.481
1155.95611.288
1011.46
543.480
899.074
489.257
809.167
55
815.007
1348.89
698 690
1156.19611.471
1011.67 543.642
899.259
489 403
809.333
56
815.246
1349.17
698.894
1156.43611 650
1011.88
543.802
899.444
489.547
809.500
57
815.485
1349.44
699.099
1156.67611.8-29
1012.08
543.961
S99.630
489.690
809.667
58
815.724
1349.72699.304
1156.90012.008
1012.29544.120
899.815
489.834
809.833
59
207
TABLE XIV. — ACTUAL TANGENTS, ETC.
81°
1° Curve,
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
0
4893. 58; 8100. 00
2446788
4050700
[637.16
2700.00
1223.63
2025.00979.015
1620.00
1
481)5.01 8 101. (57
2447.60
-1050.83
1631.84
2700.56
1223.99
2025.42979 301
1620.33
2
4896.4-1
8103.33
2448.31
4051.67
1632.3-2
2701.11
1224.35
2025.83979.588
1620.67
3
4897.91
8105.00
2449.04
4052.50
1632.80
27'01.67
1224.71
2026.25979.880
1621.00
4
4899.37
8106.67
2449.77
4053.33
1633.29
2702.22
1225.08
2026.67980.173
1.621.33
5
4900.80
8108.33
2450.49
4054.17
1633.77
2702.78
1225.44
2027.08980.459
1021.67
6
4902.23
8110.00
2451.21
4055.00
1634.25
2703.33
1225.80
2027. 50 1980.746
1622.00
7
4903.6(3
8111 67
2451.92
4055.83
1634.72
27'03.89
1220.15
2027.92981.032
1622.33
8
4905.10
8113.33
2452.64
4056.67
1635.20
2704.44
1226.51
2028.33981.319
1622.67
9
4906.56
8115.00
2453.37
4057.50
1635 69
2705.00
1226.88
2028.75
981.611
1623.00
1O
1908.02
8116.67
2454.10
4058.33
1636.17
2705.56
1227.24
2029.17
981.903
1623.33
11
1909 45
8118.33
2 454. 82 14059. 17
1636.65
2700.11
1227.00
2029.58982.190
1623.67
12
4910.88
8120.00
2455.534060.00
1637.13
2706.67
1227.96
2030 00 982. 477
1624.00
13
4912.34
8121.67
2456.26
4060.83
1637.62
^707.22
1228.32
2030.42982.769
1624.33
14
4913.81
8123.33
2456.99
4061.67
1638.10
2707.78
1228.69
2030.83983.061
1624.67
15
1915.24
8125.00
2457.71
4062.50
1638.58
2708.33
1229.05
2031.25983.348
1625.00
16
4916.67
8126.67
2458.43
4063.33
1639.06
2708.89
1229.41
2031.67983.634
1625.33
17
4918.13
8128.33
2459.16
4064.17
1639.55
27'09.44
1229.77
2032. 08 19813.927
1625.67
18
4919.59
8130.00
2459.89
4065.00
1640.03
2710.00
1230.14
2032 501984.219
1626.00
19
4921.02
8131.67
2460.60
4065.83
1640.51
2710.56
1230.49
2032.92
984.506
1626.33
20
4922 46
8133.33
2461.32
4066.67
1640.99
2711.11
1230.85
2033.33
984.792
1626.67
21
4923.92
8135.00
2462.05
4067.50
1641.48
2711.67
1231.22
2033.75
985.084
1627.00
22
192."). 38
8136 67
2462 . 78
4068.33
1641.96
2712.22
1231.58
•2034.17
985.377
1627.33
23
4926.84
8138.33
2463.51
4069.17
1642.45
2712.78
1231 95
2034.58
985.669
1627.67
34
4928.30
8110.00
2464.24
4070.00
1642.94
2713.33
1-232.31
2035.00
985 901
1628.00
25
4929.73
8141.67
2464.96
4070.83
1643.41
2713.89
1232.07
2035.42
986.248
10-28.33
36
4931.17
8143.33
2465.67
4071 . 67
1643.89
2714.44
1233.03
2035.83
986.534
1628.67
37
4932.63
8145.00
2466.40
4072.50
1644.38
2715.00
1233.40
2030.25
986.827
1029.00
38
49:54.09
8146.67
2467.13
4073.33
1644.87
2715.56
1233.70
2»'36.67
987.119
1629.33
39
4935.55
8148.33
2467.87
4074.17
1645.35
2716.11
1234.13
2037.08
987.411
1629.67
3O
1937.01
8150.00
2468 60
4075.00
1645.84
2716.67
1231.49
2037.50
987.704
1630.00
31
4938.44
8151.67
2469.31
4075.83
1646.32
2717.22
1-231.85
2037.92
987.990
1630.33
33
1939.88
8153.33
2470.03
4076.67
1646.79
2717.78
123-1 . 21
2 33.33
988.277
1630.67
33
4941.34
8155.00
2470.76
4077.50
1647.28
2718.33
1235.57
2088.75
988.509
1631.00
34
4942.80
8156.67
2471.49
4078.33
1047.77
2718.89
1 235 94
2039.17
988.861
1631.33
35
4914.26
8158.33
2472.22
4079.17
1648.26
2719.44
123t5.30
2039.58
989.154
1631.07
36
4945.72
8160.00
2472.95
4080.00
1648.74
2720.0'
1236.67
2040.00
989.446
1032.00
37
4947.15
8161.67
2473.67
4080.83
1649.22
2720.50
1237.03
2040.42
989.733
1632.33
38
4948.58
8103.33
2474.38
4081.67
1649.70
2721.11
1237.39
2040.83
990.019
1632.07
39
4950.05
81(35.00
2475.11
4082.50
1650.18
27-21.6I
1237.75
2041.25
990.311
1033.00
4O
4951.51
8166.67
2475.84
4083.33
1650.67
2722 22
1238.12
2041.67
990.604
1633.33
41
4952.97
8168.33
2476.57
4084.17
1651.16
2722^78
1-238.48
2042.08
990.890
1633.07
43
4954 . 43
8170.00
2477.30
4085.00
1651.65
2723.33
1238.85
2042.50
991.188
1034.00
43
4955.89
8171.67
2478.04
4085.83
1652.13
27553.89
1239.21
2042.92
991.481
1034.33
44
4957.35
8173.33
2478.77
4086 . 07
1652 62
2724.44
1239.58
2013.33
991.773
1634.67
45
4958.81
8175.00
2479 50
4087.50
1653.11
2725.00
1239.94
•2013.75
992.065
1035.00
46
4960.27
8176.67
2480.23
4088.33
1653.59
2725.56
1240.31
2044.17
992.358
1035.33
47
49(51.73
8178.33
2480.96
4089.17
1654.08
2726.11
1240.67
2044.58
992.650
1035.67
48
49(53.19
8180.00
2481.69
4090.00
1654.57
2720.67
1241 04
204x00
992.942
1636.00
49
4964.66
8181.67
2482.42
4090.83
1655.06
2727.22
1241.40
2045.42
993.234
1030.33
5O
4966.12
8183.33
2483.15
4091.67
1655.54
2727.78
1241.77
2045.83
993.527
1036.67
51
4967.58
8185.00
2483.88
4092.50
1656.03
2728.33
1242 14
2046.25
993.819
1637.00
53
4969.04
8186.67
2484.61
4093.33
1656.52
2728.89
1242.50|2046.67
994 .111
1637.33
53
4970.50
8188.33
2485.34
4094.17
1657.00
2729.44
1242.87
2047.08
994.404
1037.07
54
4971.96
8190.00
2486.07
4095.00
1657.49
2730 00
1243.23
2047.50
994.690
1038.00
55
4973.42
8191.67
2486.80
4095.83
10.VT.98
2730.56
1243.60,2047.92
994 . 988
1638.33
56
4974.88
8193.35
2487.53
4096.07
1658.47
2731.11
1243.90 2048.33
995. 2«1
1038.07
57
4976.34
8195.00
2488.20
4097.50
1058.95
273 1. 67 1 1244. 33 ! 2048. 7'5
995.57'3
1039.00
58
4977.81
8196.67
2488 99
4098.33
1659.44
27 3. '.22 1244. 09 ! 2049. 17
995.865
1039.33
59
4979.27
8198.33
2489.72
4099.17
1659.93
2732 . 78 1 245 . 06 1 2049 . 58 996 . 1 57
1039.07
208
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
81°
^T
Tan.
Arc.
Tan. | Arc.
Tan.
Arc.
Tan.
Arc.
Tan. Arc.
815.98-2
1350.00
699.509:1157.14
612.187 1012.50
544.280900.000
489.977810.000
o
816.301
1350.28
699.7131157.38
612.3671012.71
544.439900.185
490.121 810.167
i
816.440
1350.56
699.918
1157.62
612.540 1012.92
544.598:900.370
490.264810.333
2
816.084
1350.83
700.127
1157.86
612.729 1013.13
544. 761 1900.556
490.410810.500
3
816.927
1351.11
700.336
1158.10
612.911 1013.33
544. 923 1900.741
490.557810.067
4
817.166 1351.39
700.511
1158.33
613 0911013. 54
545.082
900.926
490.700810 833
5
817.405 1351.67
700.745
1158.57
613.270 1013. 75
545.242
901.111
490.843811.OtK)
6
817.644 1351.94
700.950
1158.81
613.4491013.9(5
545.401
901.296
490.987811.107
7
817.883 1352.24
701.155
1159.05
613.628 1014.17
545.560
901.481
491.130811.333
8
818.126,1352.50
701.364
1159.29
613.811
1014.38
545.723
901.667
491.277811.500
9
818.370-1352.78
701.572
1159.52
613.994
1014.58
545.885
901.852
491.423811 667
1O
818.609 1353.06
701.777
1159.76
614.173
1014.79
546.045
902.037
491.506811.833
11
818,8481353.33
701.982
1160.00
614.352
1015.00
546.204
902.222
491.710812.000
12
819.091 1353.61
702.191
1160.24
614.535
1015.21
546.367
902.407
491.850812.107
13
819.335 1353. 89
702.400
1160.48
614.718
1015.42
546.529
902.593
492.002812.333
14
819.574 1354.17
702.604
1160.71
614.897
1015.63
546.688
902.778
492.140812.500
15
819.813 1354.44
702.809
1160.95
615.076
1015.83
546.848
902.963
492.289812.667
16
820.0561354.72
703.018
1161.19
615.259
1016.04
547.010
903.148
492.435812.833
17
820 300 ' 1355.01'
703.227
1161.43
615.442
1016.25
547.173
903.333
492.582
813.000
18
820.539 1355.28
703.432
1161.67
615.621
1016.46
547.332
903.519
492.725
813.167
19
820.777 1355.56
703.636
1161.90
615.800
1016.67
547.491
903.704
492.869
813.333
20
821.021 1355.83
703.845
1162.14
615.983
1016.88
547 654
903 889
493.015
813.500
21
821.265 1356.11
704.054
1102.38
6J6.166
1017.08
547.810
904.074
493.161
813.667
22
821.508 1356.3C
704.263
1162.62
616.348
1017.29
547.979
904.259
493.307
813.833
23
821.752:1356.67
704.472
1162.86
616.531
101 7. 5<
548.141
904.444
493.454
814.000
24
821. 991 11356.94
704 . 677
1163.10
616.710
1017.71
548.301
904 63(
493.597
814.167
25
822.230
1357.22
704.881
1163.33
616.889
1017.92
548.460
904.815
493.741
814.333
26
822.473
1357.50
705.090
1163.57
617.072
1018.13
548.623
905.000
493.887
814.501
27
822.717
1357.78
705 299
11(53.81
617.225
1018.33
548.785
905.185
494.033
814.667
28
822.960
1358.06
705.508
1164.05
617.438
1018.54
548.948
905.370
494.179
814.833
29
823.204
1358.33
705.717
1164.29
617.621
1018.75
549.110
905.550
493.326
815.000
30
823.443
1358.61
705.9-21
1164 5'.
017.800
1018.9C
549.269
905.741
494.409
815.167
31
823.682
1358.89
706.126
1104.70
617.979
1019.17
549.429
905.926
494.613
815.333
32
823.925
1359.17
706.335
1105.00
618.102
1019.38
549.591
906.111
494.759
815.500
33
824.169
1359.44
7'06.544
1165.24
618.345
1019.58
549.754
906.296
494.905
815.667
34
824.413
1859.72
706.758
1165.48
018.527
1019.79
549 916
906.481
495.051
815.833
35
824.656
1360.(K
7'06.962
1165.71
618.710
1020.00
550.079
9 6.667
495 198
816.000
36
824.895
1360.28
707.166
1165.95
018.889
1020.21
550.238
906.852
495.341
816.167
37
825.134
1360.56
707.371
1166.19
019.009
1020.42
550.397
907.037
495.485
816.333
38
825.313
1360.83
707.580
1166.43
619.251
1020.63
550.560
907.222
495.631
816.501
39
825.621
1361.11
707.789
1166.67
619.434
1020.83
550.722
907.407
495.777
816.667
40
825.865
1361.39
707.998
1106.90
619 617
1021.04
550.885
907.593
495.923
810.833
41
82(5.1081361.67
708.207
1167.14
619.800
1021.25
551.047
907.778
496.070
817. OtX
42
826. 352 11361. 94
708.415
1107.38
619.982
1021.46
551.210
907.963
496.216
817.107
43
826.596 1362.22
708. 624 '11 67. 62
620 165
1021.67
551.372
908.148
496.362
817.333
44
826.839 1362. 5(
708.833 1 167. 86
020.348
1021.88
551.535
908.333
496.509
817.500
45
827. OS3 1362.78
709.042 1168.10
620.531
1022.08
551.697
908.519
496.655
817.667
46
827.326 1363. Cf
709.251 1168.33
620.714
1022.29
551 .860
908.704
496.801
817.833
47
827.570 1303.33
709.400 1168 57
0-20.896
1022.50
552.022
908.889
496.947
818.00<
48
827.814 1363.61
709.668 1168.81
621.079
1022.71
552.185
909.074
497.094
818.167
49
828.057
1303.89
709.8771169.05
621.20-2
1022.92
552.347
909.259
497.240
818.333
50
828.301 1364.17
710.086 1169.29621.445
1023.13
552 510
909.444
497.386
818.50<
51
828. 545 11364.4-1
710. 295 11 69. 52 62 1.627
1023.33
552.672
909.630
497.533
818.66;
52
828.788 1364.72
710.504 1169.766-21.810 .1023. 54
552. 835:909. 81 r
497.679
818.83
53
8-29. (32 1365.00
710.713 1170.00 621 .993 1023.^5
552.997910.000
497.825
819.001
54
829.275 1365.28
710.922
1170.24622.176 H'23.90
553.160910.185
497.971
819.167
55
8-9.5191365.56
711.130
1170.48022.3591024.17
553.322i910. 370
498.118
819.333
56
82!). 763 13(55.83
711.339
1170.71 622.541 1024.38
553.485 910. 6«
498.264
819.500
57
830.006 13(56.11
711.548
1170.95622.724 1024.58
553.647910.741
498.410
819.667
58
830.2501366.39
711. 7571 1171. 19 622. 907 1024 79
553. 8101910. 926
498.557819.833
59
200
TABLE XIV.— ACTUAL TANGENTS, ETC.
$2°
M.
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan. | Arc.
Tan. I Arc.
O
4980.73
8200.00
2490.45
4100.00
1660.41:2733.33
1245.42 2050.00 996.450 1610.00
1
498*. 19
8201.67
2491.19
4100.83
1660.90! 2733. 89
1 245 . 79 2050 . 42 ] 996 . 742 J 640 . 33
3
4983.65
8203.33
2491.92
4101.67
166 1.39: 2734. 44
1246.15 2050.83 997.034 1640.67
3
4985.11
8205.00
2492.65
4102.50
1661 87 i 2735. 00
1246.522051.25997 327 1641.00
4
4986.57
8206.67
2493.38
4103.33
1662.362735.56
1246 88 2051.67 £97. 619 1641.33
5
1988.03
8208.33
2494.11
4104.17
1662.85
2736.11
1247 . 25 2052 . 08 997 . 91 1 ! 1641 . 67
6
4989.49
8210.00
2494.84
4105.00
1663.34
2736.67
1247.62 2052.50 9'J8. 204 (1642.00
7
4990.95
8211.67
2495.57
4105.83
1663.82
2737.22
1247.98 2052.92 998.496 1642.33
8
4993.42
8213.33
2496.30
4106.67
1664.31
2737.78
1248.352053.331998.788
1642.67
9
4993.88
8215.00
2497.03
4107.50
1664.80
2738.33
1248.71
2053.75
999.080
1643.00
10
4995.34
8216.67
2497.76
4108.33
1665.28
2738.89
1249.08
2054.17
999.373
1643.33
11
4996.83
8218.33
2498.51
4109.17
1665.78
2739.44
1249.45
2054.58
999.671
1643.67
13
1998.33
8220.00
2499.25
4110.00
1666.28
2740.00
1249.82
2055.00999 969
1644.00
13
4999.78
8221.67
2499.98
4110.83
1666.76
2740.56
1250.19
2055.42
1000.26
1644.33
14
5001.24
8223.33
2500.71
4111.67
1667.25
2741.11
1250.55
2055.83
1000.55
1644.67
15
5002 70
8225.00
2501.44
4112.50
1667.74
2741.6;
1250.92
2056.25
1000.85
1645.00
16
5004.16
8226.67
2502.17
4113.33
1668.23
2742.22
1251.28
2056.67
1001.14
1645.33
17
5005.6-2
8228.33
2502.90
4114.17
1668.71
2742.78
1251.65
2057.08
1001.43
1645.67
18
5007.08
8230.00
2503.63
4115.00
1669.20
2743.33
12.V2.01
2057.50
1001.72
1646.00
19
5008.57
8231.67
2504.38
4115.83
1669.70
2743.89
1252.39
2057.92
1002.02
1646.33
2O
5010.06
8233.33
2505.12
4116.67
1670.19
2744.44
1252.76
2058.33
1002.32
1646.67
31
5011.52
8235.00
2505.85
4117.50
1670.68
2745.00
1253.12
2058.75
1002.61
1647.00
33
5012.99
8236.67
2506 58
4118.33
1671.17
2745.56
1253.49
2059.17
1002.90
1647.33
33
5014.45
8238.33
2507 32
4119.17
1671.65
2746.11
1253.85
2059.58
1003.20
1647.67
34
5015.91
8240.00
2508.05
4120.00
1672.14
2746.67
1254.22
2060.00
1003.49
1648.00
35
5017.40
8241.67
2508.79
4120.83
1672.64
2747 2 •'
1254.59
2060.42
1003.79
1648.33
36
5018.89
8243.33
2509.54
4121.67
1673.13
2747 .'78
(254.96
2060.83
1004.08
1648.67
37
5020 35
8245.00
2510.27
4122.50
1673.62
2748.33
1255.33
2061.25
1004.38
1649.00
38
5021.81
8246.67
2511.00
4123.33
1674.11
2748.89
1255.70
2061.67
1004.67
1649.33
39
5023.30
8248.33
2511.74
4124.17
1674.61
2749.44
1256.07
2062.08
1004.97
1649.67
30
5024.79
8250.00
2512.49
4125.00
1675.10
2750.00
1256.44
2062.50
1005.26
1650.00
31
5026.25
8251.67
2513.22
4125.83
1675.59
2750.56
1256.81
2062. 92
1005.56
1650.33
33
5027.71
8253.33
2513.95
4126.67
1676.08
2751.11
1257.17
2063. 33 ! 1005. 85
1650.67
33
5029.20
8255.00
2514.69
4127.50
1676.57
2751.67
1257.54
2063.75
1006.15
1651.00
34
5030.69
S256.67
2515.44
4128.33
1677.07
2752.22
1257.92
2064.17
1006.45
1651.33
35
5032.18
825S.33
2516.17
4129.17
1677.56
2752.78
1258.28
2064.58
1006.74
1651.67
36
5033.07
S260.00
2516.90
4130.00
1678.04
2753.33
1258.65
2065.00
1007.03
1652.00
37
5035.13
8261.67
2517.64
4130.83
1678.54
2753.89
1259.02
2065.42
1007.3311652.33
38
5H36.59
S263.33
2518.39
4131.67
1679.04
2754.41
1259.39
2065.83
1007.63 1652.67
39
5038.05
8265.00
2519.12
4132.50
1679.52
2755.00
1259.76
2066.25
1007.92
1653.00
40
5039.51
8266.67
2519.85
4133.33
1680.01
2755.56
1260.12
2066.67
1008.21
1653.33
41
43
5041.00
5012.49
8268.33
8270.00
2520.59
2521.34
4134.17
4135.00
1680.51
1681.00
2756.11
2756.67
1260.49
1260.87
2067.08
2067.50
1008.51 1653.67
1008.81 1654.00
43
5043.98
8271.67
2522.08
4135.83
1681.50
2757.22
1261.24
2067.92
1009.10 1654.33
44
5015.47
8273.33
2522.83
4136.67
1682.00
2757.78
1261.61
2068.33
1009.40 1654.67
45
5046.93
8275.00
2523.56
4137.50
1682.48
2758.33
1261.98
2068.75
1009.70 1655.00
46
47
5048.398276.67
5019.888278.33
2524.29
2525.03
4138.33
4139. 11;
16S2.97
16S3.47
2758.89
2759.44
1 262. 34 ! 2069. 17
1262.722069.58
1009.99 1655.33
1010.29'l655.67
48
5051.378280.00
2525.78
4110.00
16S3.96
2760.00
1263.092070.00
1010.58 1656.00
49
5052 . 86 8281 . 67
2526.52
4140.83
1684.46
2760.56
1263.46
2070.42
1010.881650.33
50
5054.35:8283.33
2527.27
4141.67
1684.96
2761.11
1263.83
2070.83
1011.18 1656.67
51
5055.81
8285.00
2528.00
4142.50
1685.45
2761.67
1264.202071.25
1011.47 1657.00
52
5057.288286.67
2528.73
4143.33
1685.93
2762.22
1264.5621)71.67
1011.76 1657.33
5:?
5058.778288.33
2529.48
4144.17
1686.43
2762. 7S
1264.91 2072.08
1012.06 1657. 07
54
5060 25 ' 8290. 00
2530.22
4145.00
16S6.93
2763.33
1 265. 3 1 2072. 50
1012.36 1658.00
55
506 1.74 '829 1.67
2530.97
4145.83
1687.42
2763.89
1265.682072.92
1012.66 1658.33
56
5063. 23 8293. 33
2531.71
4146.6?
1687.92
2764.44
1266.052073.33
1012.96 1058.67
57
5064.72i8295.00
2532.45
4147.50
1688 42
2765 . 00
1266.432073.75
1013.251659.00
58
5066.21 8296. 67
2533.20
4148.33
1688.91
2765.56
1266.802074.17
1013.55 1659.33
59
5067.678298,33
2533.94
4149.17
1689.41
2766.11
1267.17.2074 58
1013.85:1659.67
210
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve. 1O° Curve.
82°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc. Tan.
Arc.
M.
830.494
1366.67
711.966
1171.43623.090
1025.00
553.972
911.111498.703
820.000
O
830.787 1366.94
712.175
1171.67623.272
1025.21
554.135911.296498.849
820.167
1
880.981
1367.22
712.3S4
1171 90 623.455
1025.42
554. 297 1 911. 481 49S. 996
820.333
2
831.224
1367.50
712 592
1172.14:623.638
1025.63
554.460
911.667499.142820.500
9
881.408
1367.78
712.801
1172.38623.821
1025.83
554.622
911.852499.288
820.667
4
881.712
1368.06
713.010
1172.62624.004
1026.04
554.785
912.037499.434
820.833
5
831.856
1368.33
713.219
1172.86 624 186
1026.25
554.947 912.222499.581
821.0TK)
6
832.199
1368.61
713.428
1173.10624.369
1026.46
555.110
912.407J499.72;
821 167
7
832 442
1368.89
713.637
1173.33624.552
1026.67
555.272
912.593i499.873
821.333
8
832.686
1369.17
713.845
1173.57
624.735
1026.88
555,435
912.778500 020
821.500
9
832.930
1369.44
714.054
11.73.81
624.917
1027.08
555.597
912.963500.166
821.667
10
833.178
1369.72
714.267
1174.05625.104
1027.29
555 763
913.148500.315
821.83:)
11
833.427
1370.00
714.480
1174.29625.290
1027.50
55^.929
913.333:500.464
822.00L
12
833 670
1370.28
714.689
1174.52625.473
1027.71
556.091
913.519:500.610
822.1(57
13
833.914
1370.56
714.898 1174.76625.656
1027.92
556.254
913.704 500.757
822. 3: W
14
834.157
1370.83
715 10711175.00625.838
102S.13
556.416
913.889500.903
822.500
15
831.401
1371.11
715.316
1175.24 626.021
102S.33
556.579
914.074 501 049
822.667
16
834.645
1371.39
715.524
1175.48626.204
1028.54
556.741
914.259501.196
822.833
17
834.888
1371.67
715.733
1175.71
626.387
1028.75
556.904
914.444 501.342
823.000
18
835.137
1371.94
715.946
1175.95
626.573
1028.96
557.070
914.630501.491
823.167
19
835.385
1 372 22
716.159
1176.19
626.760
1029.17
557.235
914.815501.640
823.333
2O
.835.629
1372! 50
716.368
1176.43
62(5.942
1029.38
557.398
915.000501.787
823.500
21
835.872
1372.78
7 16. '577
1176.67
627.125
1029.58
557.560
9 i 5. 185 501. 933
823.667
22
836.116
1373.06
716.786
1176.90
627.308
1029.79
557.723
915.370502 079
823.833
2'3
836.360
1373.33
716.995
1177. 14^627. 491
1030.00
557.885
915.556502.225
824.000
24
836.608
1373.61
717.208
1177.38627.677
1030.21
558.051
915.741 502.375
824.167
25
836 . H56
1373.89
717.421
1177.62627.803
1030.42
558.217
915.926502.524
824.333
26
837.100 1374.17
717.629
1177.86628.046
1030.63
558.379
916.111 502.670
824.500
21
837.344
1374.44
717.83S
1178.10
628.229
1030.83
558.542
916.296502.816
824.667
28
837.592
1374.72
718.051
1178.33
628.415
1031.04
558.707
916.481^02.965
824.833
29
837.840
1375.00
718 264
1178.57
628.602
1031.25
558.873
9l6.667Wl15
825.000
30
838.084
1375.28
718.473
1178.81
628.784
1031.46
559.035
916.852503.261
825.167
31
838.328
1375.5.6
718.682
1179.05
628.967
1031.6;
559.198
917.037503.407
825.333
32
838.576
1375.83
718.895
1179.29
629.154
1031.88
559.364
917.222503.556
825 500
33
838 824
1376.11
719.108
1179.52
629.340
1032. OS
559.529
917.407503.706
825.667
34
839 068
1376.39
719.317
1179.76
629.523
1032.29
559.692
917.593503.852
825.833
35
839 312
1376.67
719.525
1180.00
629 706
1032.5(1
559.854
917.778503.998
826.000
36
839.560 1376.94
719.738
1180.24
629.892
1032.71
560.020
917.963504.147
826.167
37
839. 808 1 1377. 22
719.951
1180.48
630.078
1032.92
560.186
918.148504.296
826.333
38
840.052
1377.50
720.160
1180.71
630.261
1033.13
560.348
918.333504.443
826.500
39
840.296
1377.78
720.369
1180.95
630.444
1033.33
560.511
918.519504 589
826.667
40
8Mh544
1378.06
720.582
1181.19
630.630
1033.54
5(50 676
918.704 504.738
82(5 833
41
840.792
1378.33
720.795
1181.43
630.817
1033.75
560.842
918.889504.887
827.000
42
841.041
1378.61
721.008
1181.67
631.003
1033.SH5
5(51.008
919.074505.036
827.167
43
841.289
1378.89
721.221
1181.90
631.189
1034.17
561.17'4
919.259505.186
827.333
44
841 533
1379.17
721.430
1182.14
631.372
1034.3s
561.336
919.444505.332
827.501:
45
841 . 776
1379.44
721.638
1182.38
631.555
1034.5*
561 499
919.630505.478
827.66;
46
842.025
1379.72
721.851
1182.62
631 . 74 1
1034.79
561.664
919.815505.627
827.833
47
812.273
1380.00
722.064
1182.86
631.928
1035.00
561.830
920.000505.777
828.000
48
812.522
1380.28
722 277
1183.10
632 114
1035.21
561.996
920.185505.926
828.167
49
842 770
1380.56
722.490
1183.33
63.2.300
1035.42
562.161
920.370506.075
828.333
50
843.014:1380.83
722.699
1183.57
632.483
1035.63
562 324
920.556506.221
828.500
51
843.25711381.11
722.908
1183.81
632.666
1035.83
562.486
920.741 506.367
828.667
52
843.506 1381.3'.)
723.121
1184.05
632.852
1036.04
562.652
920.926506.517
828.833
53
843.75-1 !l3Sl.f)7
723.834
1184.29
633.039
1036.25
562.818
921.111 506.666
829.000
54
844.002
1381.94
723 547
1184.52
633.225
1036.46
562.983
921.296506.815
829.167
55
844 251
1382.2',!
723.760
1184.76
033.411
1036.67
563.149
921.481 506.964
829.333
56
844.499
1382.50
523.973
1185.00
633.598
1036.88
563.315
921.667507 113
829.500
57
844 . 748
1382.78
724 186
1185.24
633.784
1037.08
563.480
921 . 852 507 . 262 1 829 . 667
58
844.996 1383.06
724.399
1185.48
623.970
1037.29
563.646
922.037 507. 4121 829. 833
59
211
TABLE XIV. — ACTUAL TANGENTS, ETC.
83°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
~o~
Tan.
5069714
Arc.
8300.00
Tan.
2534.69
Arc.
4150.00
Tan.
Arc.
Tau.
T267.54
Arc.
2075.00
Tan.
Arc.
1689.91
2766.67
1014.15
1660.00
i
5070.63
8301.67
2535 42
4150.831690.39
2767.22
1267.91
2075.42
1014.44
1660.33
2
5072.12
8303.33
2536.15
4151.67
1690.88
2767.78
1268.27
2075.83
1014.73
1660.67
3
5073.61
8305.00
2536.90
4152.50 1691.38
2768.33
1268.65
2076.25
1015.03
1661.00
4
5075.09
8306.67
2537.64
4153.33!1691.87
2768.89
1269.02
2076.67
1015.33
1661.33
5
5070.58
8308.33
2538.39
4154.17:1692. 37
2769.44
1269.39
2077.08
1015.63
1661.67
6
5078 07
8310.00
2539.13
4155.00 1692.87
2770.00
1269.76
2077.50
1015.93
1662.00
7
5079.56
8311.67
2539.88
4155.83 1693.36
2770.56
1270.14
2077.92
1016.22
1662.33
8
5081.05
8313.33
2540.62
4156.67
1693.86
2771.11
1270.51
2078.33
1016.52
1662.67
0
5082.54
8315.00
2541.36
4157.50
1694.36
2771.67
1270.88
2078.75
1016.82
1663.00
10
5084.03
8316.67
2542.11
4158.33
1694.85
2772.22
1271.25
2079.17
1017.12
1663.33
11
5085.52
8318.33
2542.85
4159.17
1695.35
2772.78
1271.63
2079.58
1017.42
1663.67
12
5087.01
8320.00
2543.60
4160.00
1695.85
2773.33
1272.00
2080.00
1017.71
1664.00
13
5088.50
8321.67
2544.34
4160.83
1696.34
2773.89
1272.37
2080.42
1018.01
1664.33
14
5089.99
8323.33
2545.09
4161.67 1696.84
2774.44
1272.74
2080.83
1018.31
1664.67
15
5091.48
8325.00
2545.83
4162.50 1697.34
2775.00
1273.12
2081.25
1018.61
1665.00
16
501)2.97
8326.67
2546.58
4163.3311697.83
2775.56
1273.49
2081.67
1018.91
1665.33
17
5094.46
8328.33
2547.32
4164.17
1698.33
2776.11
1273.86
2082.08
1019.20
1665.67
18
5095.95
8330.00
2548.07
4165.00
1698.83
2776.67
1274.23
2082.50
1019.50
1666.00
19
5097.44
8331.67
2548.81
4165.83
1699.32
2777.22
1274.61
2082.92
1019.80
1666.33
20
5098.93
8333.33
2519.56
4166.67
1699.82
2777.78
1274.98
2083.33
1020.10
1666.67
21
5100.45
8335.00
2550.32
4167.50
700.32
2778.33
1275.36
2083.75
1020.40
1667.00
22
5101.97
8336.67
2551 08
4168.33
1700.83
2778.89
1275.74
2084.17
1020.71
1667.33
23
5103.46
8338.33
2551.82
4169.17
701.33
2779.44
1276.11
2084.58
1021.00
1667.67
24
5104.95
8340.00
2552.57
4170.00
701.82
2780.00
1276.48
2085.00
1021.30
1668.00
25
5106.44
8341 . 67
2553.31
4170.83
702.32
2780.56
1276.86
2085.42
1021.60
1668.33
26
5107.93
8343.33
2554.06
4171.67
702 82
2781. 11
1277.23
2085.83
1021.90
1668.67
27
5109:43
8345.00
2554.80
4172.50
703 31
2781.67
1277.60
2086.25
1022.20
1669.00
28
5110.91
8346.67
2555 55
4173.33
703.81
2782.22
1277.97
2086 67
1022.49
1669.33
29
5112.39
8348.33
2556.29
4174.17
1704.31
2782.78
127'8.35
2087.08
1022.79
1669.67
3O
5113.88
8350.00
2557.04
4175.00
1704.80
2783.33
1278.72
2087.50
1023.09
1670.00
31
5115 40
8351.67
2557.80
4175.83
1705.31
2783.89
1279.10
2087.92
1023.39
1670.33
32
5116.92
8353.33
2558.55
4176.67
1705.82
2784.44
1279.48
2088.33
1023.70
167'0.67
33
5118.41
8355.00
2559.30
4177.50
17'06.31
2785.00
1279.85
2088.75
1023.99
1671.00
34
5119.90
83.-)6.67
2560.04
4178.33
1706.81
2785.56
1280.22
2089.17
1024.29
1671.33
35
5121.39
8358.33
2560.79
4179.17
1707.31
2786.11
1280.60
2089.58
1024.59
1671.67
36
5122.88
8360.00
2561.53
4180. (X)
1707.80
2786.67
1280.97
2090.00
1024.89
1672.00
37
5124.40
f^GI.67
2562.29
4180.83
1708.31
2787.22
1281.35
2090.42
1025.19
1672.33
38
5125.92
K303.33
2563.05
4181.67
17'08.81
2787.78
1281.73
2090.83
1025 50
1672.67
39
5127.41
8365.00
2563.80
4182.50
1709.31
2788.33
1282.10
2091.25
1025.79
1673.00
40
5128.90
8366.67
2564.54
4183.33
1709.81
2788.89
1282.47
2091.67
1026.09
1673.33
41
5180.39
8368.33
2565.29
4184. 17[1710. 3012789. 41
1282.84
2092.08
1026.31)
1673.67
42
5131.88
8370.00
2566.03
4 1 85. OOi 1710. 80 2790. 00
1283.22
2092.50
1026.69
1674.00
43
5133.39
8371.67
2566.79
4185.83 1711.31
2790.56
1283.60
2092.92
1026.99
1674.33
44
5131.91
8373.33
2567.55
4186.671711.81
2791.11
1283.98
2093 33
1027.30
1674.67
45
5136.40
8375.00
2568.30
4187.50 1712.31
2791.67
1284.35
2093.75
1027.59
1675.00
46
5137.89
8376.67
2569.04
4188.331712.81
2792.22
1284.72
2094.17
1027.89
1675.33
47
5139.41
8378.33
2569.80
4189.17 1713.31
2792.78
1285.10
2094.58
1028.20
1675.67
48
5140.93
8380.00
2570.56
4190.001713.82
2793.33
1285.48
2095.00
1028.50
1676 00
49
5142.42
8381.67
2571.30
4190.83
1714.32
2793.89
1285.85
2095.42
1028 80
1676.33
50
5143.91
83S3.33
2572.05
4191 67
1714.81
2794.44
1286.23
•2005 . 83
1029.10
1676.67
51
5145.43
8385.00
2572.81
4192.50 1715.32
2795.00
1286.61
2096.25
1029.40
1677.00
52
5146.94
8386 . 67
2573 57
1193.33 1715.82
2795.55
1286.98
2096.67
1029.70
1677.33
53
5148.46
8388.33
2574.33
4194.17 1716.33
2796.11
1287.37
2097.08
1030.01
1677.67
54
5149.98
8390.00
2575.09
4195.001716.84i2796.67
1287.74
2097.50
1030.31
1678.00
55
5151.47
8391.67
2575.83
4195.83 1717.33 2797.22
1288.12
2097.92
1030 61
1678.33
56
5152.96
8393.33
2576.57
4196.671717.832797.78
1288.49
2098. S3
1030.91
1678.07
57
5154.48
8335.00
2577.33
4197. 50 1718. 3412798. 33
1288.87
2098.75
1031.21
1679.00
58
5156.00
8396.67
2578.09
4198.33 1718 84:2798.89
1289.25
2099.17
1031.51
1679.33
59
5157.49
8398.33
3578.8*
4199 17 1719.34|2799 44
1289.622099.58
1031.81
1679.67
212
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
83°
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
845.244
1383.33
724.612
1185.71
534.157
1037.50
563.812
922.222
507.561
830.000
O
845.488
1383.61
724.820
1185.95
J34.339
1037.71
563.974
922.407
507.707
830.167
1
845. 73^
1383.89
725.029
1186.19
634.522
1037.92
564.137
922.593
507.853
830.333
2
845.980
1384.1?
725.242
1186.43
634.709
1038.13
564.303922.778
508.002
830.500
3
846.228
1384.44
725.455
1186.67
634.895
1038.33
564.468
922.963
508.152
830.66?
4
846.47?
1884.72
725.668
1186.90
635.081
1038.54
564.634
923.148
508.301
830.833
5
846.725
1385.00
725.881
1187.14
635 268
1038.75
564.800
923.333
508.450
831.000
6
84(5.974
1385.28
726.094
1187.38
635.454
1038.96
564.965
923 519
508.599
831.16?
7
847.222
1385.56
726.307
1187.62
(535.640
1039.17
565.131
923.704
508.748
831.333
8
847.470
1385.83
726.520
1187.86
635.827
1039.38
565.297
923.889
508.897
831.500
9
847.719
1386.11
726.733
1188.10
636.013
1039.58
565.462
924.074
509.047
831.667
1O
847.967
1386.39
726.946 1188.33
636.200
1039.79
565.628
924.259
509.196
831.833
11
848.216
1386.67
727.159 1188.5?
636.386
1040.00
565.794
924.444
509.345
832.000
12
848.464
1386.94
727.3721188.81
636.572
1040.21
565.959
924.630
509.494
832.167
13
848.712
1387.22
727.5851189.05
636.759
1040.42
566.125
924.815
509.643
832.333
14
848.961
1387.50
727.798 1189.29
636.945
1040.63
566.291
925.000
509.792
832.500
15
849.209
1387.78
728 0101189.52
63? . 131
1040. 83
566.457
925.185
509.942
832.667
16
849.458
1388.06
728.223 1189.76
637.318
1041.04
566.622
925.370
510.091
832.833
17
849.706
1388.33
728.4361190.00
637.504
1041.25
566.788
925.556
510.240
833.000
18
849.954
1388.61
728.649
1190.24
637.690
1041.46
566.954
925.741
510.389
833.16?
19
850.203
1388.89
728.862
1190.48
637.87?
1041.67
567.119
925.926
510.538
833.333
20
850.456
1389.17
729.079 1190.71
633.067
1041.88
567.288
926.111
510.690
833.500
21
850.709
1389.44
729. 296 ; 11 90. 95
638.257
1042.08
567.457
926.296
510.842
833.667
22
850.958
1389.72
729.509 1191. 1<J
638.443
1042.29
567.623
926.481
510.991
833. a33
23
851.206
1390.00
729.722 1191.43
638.629
1042.50
567.788
926.66?
511.141
834. 00(
24
851 . 454
1390.28
729.9351191.67
(538.816
1042.71
567.954
926.852
511.290
834.16?
25
851.703
1390.56
730. 148; 1191. 9(
639.002
1042.92
568.120
927.03?
511.439
834.333
2C>
851.951
1390.83
730.361 1192.14
639.189
1043.13
568.285
927.222
511.588
834.500
27
852.200
1391.11
730 574 1192.38
639.475
1043.33
568.451
927.407
511.73?
834.667
28
852.448
1391.39
730.787
1192.6L
639.561
1043.54
568.617
927.593
511.886
834.833
29
852.696
1391.6?
731.000
1192.86
C39.748
1043.75
568.783
927.778
512.035
835. 00(
3O
852.950
1391.94
731.217
1193.10
639.938
1043.96
568.951
927.963
512.188
835.167
31
853.203
1392.22
731.434
1193.33
640.12?
1044.17
569.120
928.148
512.340
835.333
32
853.451
1392.50
731.647
1193.57
640.314
1044.36
569.286
928.333
512.489
835.500
33
853.699
1392.78
731.860
1193.81
640.500
1044.58
569.452
928.519
512.638
835.667
34
853.948
1393.06
732.073
1194.05
640.687
1044.79
569.61?
928.704
512.787
835.833
35
854.196
1893.33
732.286
1191.29
640.873
1045.00
569.783
928.889
512.936
836.000
36
854.449
1393.61
732.503
1194.52
641.063
1045.21
569 . 952
929.074
513 088
836.167
37
854.703
1393.89
732.720
1194.76
641.253
1045.42
570.121
929.259
513.240
836. 33:3
38
854.951
1394.17
732.933
1195.00
641.439
1045.63
570.28?
929.444
513.389
836.500
39
855.199
1394.44
733.146
1195.24
641.626
1045.83
570.452
929.630
513.539
836.66?
4O
855.448
1394.72
733.359
1195.48
641.812
1046.04
57'0.618
929.815
513.688
836.833
41
855.696
1395.00
733.572
1195.71
641.998
1046.25
570.784
930.000
513.837
837.000
42
865.949
1395.28
733 789 1195.95
642. 18S
1046.46
570.952
930.185
513.989
837.167
43
856.203
1395.56
734.006 1196.19
642.378 1046.6?
571.121
9?0.370
514.141
837.333
44
856.451
1395.83
734.219 1196.43
642.565 1046.88
571 .287
930.556
514.290
837.500
45
856.699
1396.11
734.4321196.67
642.751
1047.08
571.453
930.741
514.439
837.667
46
856.953
1396.39
734.649 1196.90
642.941
1047.29
571.622
930.926
514.591
837.833
47
857.206
1396.67
734.8661197.14
643.131 1047.50
571.790
931.111
514.7'43
838.000
48
857.454
1396.94
735.079 1197.38
643.317
1047.71
571.956
931.296
514.892
838.167
49
857.702
1397.22
735 202 1197.62
613.501
1047.92
572.122
931.481
515.042
838.333
5O
857.956
1397.50
735.50!) 1197.86
643 . 693
1048.13
572.291
931.66?
515.1941838.500
51
858.209
1397.78
735.726 1198.10
643 8S:J,
1048 33
572.460
931.852
515.346838.667
52
858.462
1398.06
735 . 943 1 1 98 . 33 644 . 073
1043.54
572 628
932.037
515.498838.833
53
858.715
1398.33
736.1601198.57644.263
104> .75
572.79?
932.222
515. 650 839. 00(
54
858.964
1398.61
736.373 1198.81 644.450
1048 96
572.963
932.407
515.799:839.16?
55
859.212
1398.89
736.5861199.05644.636
1049.17
573.129
932.593
515.948839.333
56
859.465
1399.17
736.803 1199.29644 826
1049.38
573.298
932.778
516.100839.500
57
859.718
1399.44
737.020 1199.52645.016
1049.58
573.466
932.963
516.252839.66?
58
859 967
1399 . 72; 737 . 233 1 1 99 . 76 645 . 202
1049.79
573.632
933.148
516.401 839.833
59
213
TABLE XIV.— ACTUAL TANGENTS, ETC.
84°
M.
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
5158.9SS400.00
2579.58
4200.00
1719.84
2800.00
1289.99
2100.00
1032.11
680.00
1
5100.50
S401.67
2580.34
4200.83
17'20.34
2800.56
1290.37
2100.42
1032.41
1680.33
2
5162.01
8403 33
2581.10
4201.67
1720.85
2801.11
1290.75
2100.83
1032.72
080. (17
3
5108.53
S405.00
2581.86
4202.50
1721.35
2801.67
1291.13
2101.25
1033.02
1681.00
4
5165.05
8406.67
2582.62
4203.33
1721.86
2802.22
291.51
2101.67
1033.38
681.33
5
5166.57
840S.33
2583.38
4204.17
1722.37
2802.78
291.89
2102.08
1038.63
681.67
6
5168.09
8410.00
,1584.14
4205.00
1722 87
2803.33
292.27
2102.50
1083.93
082.00
7
5169. 58
8411.67
2584.88
4205.83
1723.37
2803.89
292.64
2102.92
1034.28
1082.38
8
5171.07
8413.33
2585.63
4206.67
1723.87
^804.44
1293.02
2103.33
1034.53
1682.67
9
5172.58
8415.00
2586.39
4207 50
1724.37
2805.00
1293.40
2103.75
1034.8:3
1683.00
1O
5174.10
8416 67
2587.15
4208.33
1724.88
2805 56
1293.78
2104.17
1035.14
16S3.33
11
5175.62
8418.33
2587.91
1209.17
1 725 . 38
2806.11
1294. 1C.
2104.58
1035.44
1683.67
13
5177.14
8420.00
2588.66
4210.00
1725.89
,806.67
1294.54
2105.00
1035.74
1084.00
13
5178.66
8121.67
2589.42
4210.83
1726.4U
2807.22
1294.92
2105.42
1036.05
1684.33
14
5180.18
8423.33
2590.18
4211.67
1726.90
2807.78
1295.30
2105.83
1036.35
1684.67
15
5181.69
8425.00
2590.94
4212.50
1727.41
2808.33
i295.67
2106.25
1036.66
1685.00
10
5183. 21
8426.67
58301.7(1
4213.33
1727.92
2808.89
1296.05
2106.67
1036.96
1685.33
17
5184.73
8428.33
2592.46
4214.17
1728.42
2809.44
1296 43
2107.08
1037.y(i
1685.67
18
5186.25
8430.00
25U.-J.22
4215 00
1728.93
2810.00
1206. 81
2107.50
1037.57
1686.00
19
5187.77
8431.67
2593.98
4215.83
1729.43
2810.56
1297.19
2107.92
1037.87
1686.33
20
5189.29
8433.33
2594.74
4216.67
729.94
2^11.11
1297.57
2108.33
10:38.17
1686.67
21
5190.78
8485.00
2595.48
4217.50
1730 44
2811.67
1297.95
2108.75
1038.47
1687.00
22
5192.27
8436.67
£598.88
4218.33
1730.93
2812.22
1298.32
2109.17
103S 77
1687.33
23
5193.78
8498.83
2596.99
4219.17
1731.44
2812.78
1298.70
2109.58
1039.07
1687.67
24
5195.30
8440.00
2597.75
4220.00
1731.95
2813.33
1299.08
2110.00! 1039. 38
1688.00
ft FJ
5196.82
8441.67
2598.51
4220. 8S
1732.45
2813.89
1299.46
21 10. 42! 1039. 68
1688. 33
3<i
5198.34
SI 43. 33
2599.27
4221.67
1732.96
2814.44
1299.84
21 10. 83|1 039. 99
1688.67
37
5199.89
S445.002600.04
4222.50
1733.47
2815.00
1300.22
2111 25
1040.29
1689.00
28
5201.43
8446.6712600.81
4223.33
1733.99
2815.56
1300.61
2111.67
1040.60
1689.33
29
5202.95
8448.33
2601 57
4224.17
1734.50
2816.11
1300.99
2112.08
1040.91
1689.67
30
5204.47
8450.00
2602.33
4225.00
1735.00
2816.67
1301.37
2112.50
1041.21
1690.00
31
5205.99
8451.67
2603.09
4225.83
1735.51
2S17.22
1301.75
2112.92
1041.52
1690.33
33
•>207.51
845:} . 33
2ii03.85
4226.67
1736.01
2817.78
1302.13
2113.33
1041.82
1690.67
33
5209.03
8455.00
2604.61
4227.50
1736 52
2818.33
1302.51
2113.75
1042.12
1691.00
34
>2!0.54
8456.67
2605.37
1228.33
17S7.03
2818.89
1302.89
2114.17
1042.43
1691.33
35
5212 06
8458.33
2606.13
1229.17
1737.53
2819.44
1303.27
2114.58
1042.73
1691.67
36
5213.58
8460.00
2606.89
4230.00
1738.04
2820.00
1303.65
2115.00
1043.03
1692.00
37
5215.10
8461.67
2607.64
4230.83
1738.55
2820.56
1304.03
2115.42
1043 34
1692.33
38
5216.62
8463.33
2608.40
4231.67
1739.05
2821.11
1304.41
2115.83
1043.64
1692.67
39
5218.14
8465.00
2609.16
4232.50
1739.56
2821.67
1304.79
2116.25
1043.95
1693.00
40
5219.65
8466.67
2609.92
4233.33
1740.06
2822.22
1305.17
2116.67
1044.25
1693.33
41
5221.20
8408.33
2610.70
4234.17
1740.58
2822.78
1805.55
2117.08
1044.56
1693.67
42
5222.75
8470.002511.47
4235.00
1741.10
2823.33
1305.94
2117.50
1044.87
1694.00
43
5224.27
8471.672612.23
4235.83
1741.60
2823.89
1306.32
2117.92
1045.17
1694.33
44
5225. 78 j 84; 3. 33 ! 26 12. 99
4236.67
1742.11
2824.44
1306.70
•2118.33
1045.48
1694.67
45
5227.30
8475.002613.75
4237.50
1742.61
2825.00
1307.08
2118.75
1045.78
1695.00
46
5228.82
8476.672614.51
4238.33
1743.12
2825.56
1307.46
2119.17
10 46. OS
1695.33
47
5230.37
847S.332<il5.28
4239.17
1743.64
2826.11
1307.85
2119.58
1046.31
161)5.67
48
5231.92
8480.00 2616 05
1240.00
1744.15
2826.67
130S.23
2120.00
1046.70
1696.00
49
1233.43
8481.67
2616.81
4240.83
1744.66
2827.22
1308.61
2120.42
1047.01
1696.33
50
5234.95
8483 33
2617.57
4241 67
1745.16
2827.78
1308.99
2120.83
1047.31
1696.67
51
5236.47
8485.002618.33
4242.50
1745.67
2828.33
1309.37
2121.251047.61
1697.00
53
5237.99
S486 672619.09
4243.33
1746.18
2828.89
1309.75
21 21.67; 1047. 92
1697.33
53
5259.54
84S8.33 2619 86
4244.17
1746.69
2829.44
1310 14
2122.08 104S.23
1697.67
54
5241.08
8490.002620.64
4245.00
1747.21
2830.00
1310.52
2122.50 1048.54
1698.00
55
5242.60
8491.672621.40
4245.83
1747.71
2830.56
1310.90
2122.92 1048.84
169S.33
5(>
5244.12
8493 332622 16
4246.67
1748.22
2831.11
1311. 2^
2123.33 1049.14
1698 C.7
57
5245 6718495. 00 2622. 93
4247.50
1748.74
2831.67
1311.67
2123.75 1049.45
1699.00
58
5247.21 8496.67 26-23.70
4248. 3:j
1749.25
2832.2-.
1312.06
2124.17 1049.71*
1699.33
59
5248 . 73 1 8498 . 33 2624 . 4b
4249.17
1749. 7b
2832.78
1312.44
2124.581050.07
1699.67
214
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
84°
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
800.215 1400.00
737.446
1200.00
645.389
1050.00573.798:933.333
516.550
840.000
O
800.408 1400.28
737.003 1200.24
045.579
1050.21 573.907 933.519
516.702
840.167
1
800.721 1400.50
737.880 1200. 4H
045.709
1050.42574.136
J33.704
516.854
840.333
2
800. 975 1400.%
738.097
1200.71
045.959
1050. 63 (574.304
J33.889
517.007
840.500
3
801.228 1401.11
738.314
1200.95
640.148
1050.83
574.473
934.074
517.159
840.667
4
861.481
1401.39
738 531
1201 19
640.338
1051.04
574.642
934.259
517.311
840.833
5
801.734
1401.07
738.748
1201.43
046.528
1051.25
574.811
134.444
517.463
841.000
G
861.983
1401.94
738.901
1201.07
040.715
1051.46
574.977
934.630
517.612
841.167
7
802.231
1402.2;.'
739.174
1^01 90
046.901
1051.67
575.142
934.815
517.761
841.333
8
802.484
1402.50
739.391
1202.14
647.091
1051.88
575.311
J35.000
517.913
841.500
9
862.737
1402.78
739.008
1202.38
647.281
1052.08
575.480
935.185
518.065
841.667
10
862.900
1403.00
739.825
1202.62
647.471
1052.29
575.649
)35.370
518.217
841. 833
11
883.244
1403.33
740.042
1202.86
617.661
1052.50
575.818
935.556
518.369
842.000
13
803.497
1403.61
740.259
1203.10
647.851
1052.71
575.987
935.741
518.521
842.167
13
863.750
1103.89
740.476
1203.33
648.041
1052.92
576.156
935.92(5
518.673
842.333
14
864.003
1404.17
740.693
1203.57
048.231
1053.13
576.325
J36.111
518.825
842.500
15
804.256
1404.44
740.910
1203.81
048.421
1053.33
576.494
936.296
518.977
842.667
1O
804.509
1404.72
741.127
1201.05
048.611
1053.54
576.662
936.481
519.129
842.833
17
864.763
1405.00
741.344
1204.29
648.801
1053.75
576.831
936.667
519.281
843.000
18
865.010
1405.2b
741.561
1204.52
648.990
1053.96
577.000
930.852
519.433
843.167
19
865.269
1405.56
741.778
1204.76
649.180
1054.17
577. 1G9
937.037
519.585
843.333
3O
865.517
1405.83
741.991
1205.00
049.307
1054.38
577.335
937.222
519.734
843.500
31
805. 7C6
1406.11
742.204
1205.24
ti49 553
1054.58
577.500
937.407
519.884
843.667
33
800.019
1400.39
742.421
1205.48
04!) . 743
1054.7U
577.669
937.593
520.030
843.833
33
800.272
1406.07
742.638
1205.71
049.933
1055.00
577.838
937.778
520.188
844.000
34
800.525
1400.94
742.855
12-J5.95
050. 123
1055.21
578.007
937.903
520.340
844.167
35
806.778
1407.22
743.072
200.19
050.313
1055.42
578.176
938.148
520.492
844.333
36
867.036
1407.50
743.293
1206.43
050.500
1055.63
578.348
J38.333
520.047
844.500
37
807.294
1407.78
743.514
1206.67
050. 7XX)
1055.83
578.520
938.519
520.801
844.667
38
807.548
1408.00
743. 73 •>
1206.90
650.890
1056.04
578.089
938.704
520.953
844.8:33
39
887.801
1408 33
743.949
1207.14
651 .080
1056.25
578.858
938.889
521.106
845.000
3O
868.054
1408 0]
744.160
1207.38
(55 1.270
1056.46
579.027
939.074
521.258
845.167
31
868.307
1408 89
744.383
1207.62
651.400
105(5.67
579.196
939.259
521.410
845.333
33
688.600
868.813
1409.17
1409.44
744. 600 j 1207. 86
744.817 1208.10
051.050
051.840
1056.88
1057.08
579.304
579.533
939.444
939.030
521.562
521.714
845.500
845.667
33
34
809.067
1409.72
745. 034 11208. 33
052.030
1057.29
579.702
939.815
521.806
845.833
35
869.320
1410.00
745.251 1208.57
052.220
1057.50
579.871
940.000
522.018
846.000
36
869.573
1410.28
745.468
1208.81
052.410
1057.71
580.040
940.185
522.170
84(5.167
37
869.826
1410.56
745. 685 |1209. 05
052.599
1057.92
580.209
940.370
522.322
846.333
38
870.079
1410.83
745.902
1209.29
052.789
1058.13
580.378
940.550
522.474
846.500
39
870.332
1411.11
746.119
1209.52
052.979
1058.33
580.547
940.741
522.626
846.667
4O
870.590
1411.39
746.340
1209.70
053.173
1058.54
580.719
940.920
522.781
846.833
41
870.848
1411.67
746.501
1210.00
653.366
1058.75
580.891
941.111
522.936
847.000
43
8 VI. 102
1411.91
746.778
1210.24
653.550
1058.96
581.060
941.296
523.088
847.167
43
871.. 355
1412.22
740.995 1210.48
653.746
1059.17
581.228
941.481
523.240
847.333
44
871.608
1412.50
747.212 1210.71
653.936
1059.38
581.397
941.667
523.392
847.500
45
871.861
1412.78
747.429
1210.95
661.1:36
1059.58
581.566
941.852
523.544
847.667
46
872.119
1413. 00
747.651
1211.19
654.320
1059.79
581.738
942.037
523.699
847.833
47
872.377
1413. 33
747.872 1211.43
054.513
1060.00
581.910
942.222
523.853
848.000
48
872.630
1413.61
748. OS9 1211.67
654.703
1060.21
582.079
942.407
524.006
848.167
49
872.883
1413.89
748. 3061 1211. 90
654.893
1060.42
582.248942.593
524.158848.333
5O
873.130
1414.17
748.523 1212.14
655.083
1060. 63^2.417 942. 778
524.310848 500
51
873.390
1414.44
748.740 1212.38
055.273
1060. 831582. 586 942. %3
524.462848.667
53
873.048
1414.72
748.961
1212.62
055.407
106 1.04 582. 758 943.148
524.617848.838
53
873.906
1415 00
749.18",
1^12.80
055.000
106 1.25 582. 930 943. 333
524.771! 849.(KK)
54
874. 159 14T,. 28
749.391
1213.10
055. S50
10(51.46
583.099913.519
524.923 849 167
55
874.412 1415.50
749.616
1213.33
05«*. 040
1001.07
583.208943.704
525.075849.333
56
874.070 1415.83
149.837
1213.57
650 234
1061.88
583.440
943.889
525. 230 849. 500 1 57
874.928 1410.11
750.058
1213.81
656 427
IOftJ.08J588.6l2
944.074
525.385849.667 58
875.181 I4l6.39750.27fa
1214.05
656.017
1062. 29:583.781(944. 259
525. 537 849.833| 59
215
TABLE XIV. — ACTUAL TANGENTS, ETC.
85°
1° Curve.
3* Curve.
3° Curve.
4° Curve.
5° Curve.
Ivi7
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
o
9350.25
8500.00
2625.22
4250.00
1750.2(5
2833. Jtt
1312.82
2 125. a)
1050.37
1700.00
i
5251.80
8501.67
2625.99
4250.83
1750.78
2833.89
1313.20
2125.42
1050.68
1700.33
<£
5253.34
8503.33
2626.77
4251.67
1751.30
2834.44
1818.59
2125.83
1050.99
1700.0?
3
5254.86
8505.00
2627.53
4252.50
1751.80
2835.00
1313.97
2126.25
1051.29
1701.00
4
5256.38
8506.67
2628.29
4253.33
1752.31
2835.56
1314.35
2126.67
1051.60
1701.33
5
5257.93
8508.33
2629.06
4254.17
1752.82
2836.11
1314.74
2127.08
1051.91
1701.07
6
5259.47
8510.00
2629.83
4255.00
1753.34
2836 67
1315.12
2127.50
1052.22
1702.00
7
5260.99
8511.67
2630.59
4255.83
1753.85
2837.22
1315.50
2127.92
1052.52
1702.33
8
5262.51
8513.33
2631.35
4256.67
1754.3.5
2837.78
1315.88
2128.33
1052.82
1702.67
9
5264.06
8515.00
2632.13
4257.50
1754.87
2838.33
1316.27
2128.75
1053.13
1703.0J
10
5265.61
8516.67
2632.90
4258.33
1755.38
2838.89
1316.66
2129.17
1053.44
1703 33
11
5267.15
8518.33
2633.67
4259.17
1755.90
2839.44
1317.04
2129.58
1053.75
1703 67
13
5268.70
8520.00
2634.45
4260.00
1756.41
2840.00
1317.43
2130.00
1054.06
1704.00
13
5270.22
8521.67
2635.21
4260.83
1756.92
2840.56
1317.81
2130.42
1054.37
1704. 3'}
14
5271.74
8523.33
2635.96
4261.67
1757.43
2841.11
1318.19
2130.83
1054.67
1704.07
15
5273.28
8525.00
2636.74
4262.50
1757.94
2841.67
1318.58
2131.25
1054.98
1705.00
16
5274.83
8526.67
2637.51
4263 33 1758.46
2842.22
1318.96
2131.67
1055.29
1705.33
17
5276.38
8528.33
2638.29
4264.17
1758.97
2842.78
1319.35
2132 08
1055.60
1705.07
18
5277.92
8530.00
2639.06
4265.00
1759.49
2843.33
1319.74
2132.50
1055.91
1706.00
19
5279.47
8531.67
2639.83
4265.83
1760.01
2843.89
1320.12
2132.92
1056.22
1706.33
20
5281.02
8533.33
2640.61
4266.67
1760.52
2844.44
1320.51
2133.33
1056.53
1708.67
31
5282.57
85&5.00
2641.38
4267.50
1761.04
2845.00
13-30.90
2133.75
1056.84
1707.00
33
5284.11
8536.67
2642.15
4268.33
1761.55
2845.56
1321.28
2134.17
1057.15
1707.33
33
5285.63
8538.33
2642.91
4269.17
1762.06
2846.11
1321.66
2134.58
1057.45
1707.67
34
5287.15
8540.00
2643 67
4270.00
1762.56
2846.67
1322.04
2135.00
1057.75
1708.00
35
5288.70
8541.67
26-14.44
4270.83
1763.08
2847.22
1322.43
2135.42
1058.06
1708.33
36
5290.24
8543.33
2645.22
4271.67
1763.60
2847 . 78
1322.82
2135.83
1058.37
1708.67
37
5291.79
8545.00
2645.99
4272.50
1764.11
2848.33
1323.20
2136.25
1058.68
1709.00
38
5293.34
H546.67
2646.77
4273.33
1764.63
2848.89
1323.59
2136.67
1058.99
1709.33
39
5294.88
8548.33
2647.54
4274.17
1765.14
2849.44
1323.98
2137.08
1059.30
1709.67
30
5296.43
8550.00
2648.31
4275.00
1765.66
2850 00
1324.36
2137.50
1059.61
1710.00
31
5297.98
8551.67
2649. 01)
4275.83
1766.17
2850.56
1324.75
2137.92
1059.92
1710.33
33
5299.53
8553.33
2649.86
4276.67
1766.69
2851.11
1325.14
2138.33
1000.23
1710.67
33
5301.07
H555.00
2650.63
4277.50
1767.21
2851.67
1325.52
2138.75
1060.54
1711.00
34
5302.62
ci5.56.67
2651.41
4278.33
1767.72
2852.22
1325.91
2139.17
1060. 85
1711.33
35
5304.17
8558.33
2652.18
4279.17
1768.24
2852.78
1326.30
2139.58
1061.16
1711.67
36
5305.71
8560.00
2652.95
4280.00
1768.7.5
2853.33
1326.69
2140.00
1061.47
1712.00
37
5307.26
8561.67
2653.73
4280.831769.27
2853 89
1327.07
2140.42
1061.78
1712.33
38
5308.81
8563.33
3654.50
4281.67 1769.78
2854.44
1327.46
2140.83
1062 09
1712.67
39
5310.35
8565.00
3655.27
4282.50
1770.30
2855.00
1327.85
2141.25
1062.40
1713.00
4O
5311.90
8566.67
2656.05
4283.33
1770.82
2855.56
1328.23
2141.67
1062.70
1713.33
41
5313.45
8568.33
2656.82
4284.171771.33
2856.11
1328.62
2142.08
1063.01
1713.07
43
5315.00
8570.00
2657.60
4285.00 1771.85
2856.67
1329.01
2142 50
1063.32
1714.00
43
5316.54
8571.67
2658.37
4285. 83 |1772. 36
2857.22
13-29.39
2142.92
1063.63
1714.33
44
5318.09
8573.33
2659.14
4286.67
1772.88
2857. 78 ! 1329. 7 8
2143.33
1063.94
1714.67
45
5319.66
8575.00
2659.93
4287.50
1773.40
2858.331330.17
2143.75
1064.26
1715.00
46
5321.24
8576.67
2660.72
4288.33
1773.93
•3858.89 1330.57
2144.17
1061.57
1715.33
47
5322.79
8578.33
2661.49
4289.17
1774.44
2859.44 1330.95
2144.58
1064.88
1715.67
48
5324.33
8580.00
2662.26
4290.00
1774.96
2860.00 1331.34
2145.00
1065.19
1716.00
49
5325.88
8581.67
3(563.04
4290.83
1775.48
2860.56
1331.73
2145.42
1065.50
1716.33
50
5327.43
8583.33
2663.81
4201.67
1775.99
2801.11
1332.122145.83
1065.81
1710 07
51
5328.98
8585.00
3664.59
4292.50
1776.51
2861.67i 1332. 50 2 146. 25
1006.12
1717.00
53
5330.52
8586.67
3665.36
4293.33
1777.02
3862.22 1332.89 2146.67
1006.43
1717.33
53
5332.07
8588.33
2666.13
4294 17
1777.54
2862 78 1333.282147.08
1000.74
1717.07
54
5333.62
8590.00
3666 91
4295.00
1778.06
2863.33 1333.60 2147.50
1067.05
1718.00
55
5335.19
8.591 . 67
2667.69
4295.83 1778.58
2803.89 1334.015 2147.92
1067.36
1718.33
56
5&36.77
8593.33
2668.48
4296 . 07
1779.11
2864.44 1334.452148.33
1067 68
1718.67
57
5338 31
8595.00
2069.26
4297 50177'9.62
2865.00 1334.842148.75
1007.99
1719.00
58
5339.86
8596.67
2070.03
4298.331780.14
2805.56 1335.222149.17
1068 30
1719.33
59
5341.44
8598.33
2670.82
4299. 17I1780. 6612866. 11 1335.62 2149.58
1068.01
719.07
216
TABLE XTV.— ACTUAL TANGENTS, ETC
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
85°
Tan.
Arc.
1416.67
Tan.
Arc.
Tan.
Am
1062.50
Tan.
Arc.
Tan.
Arc.
M.
875.434
750.493
1214.29
656.807
583.950944.444
525.689850.000
O
875.692
1416.94
750.714
1214.52
657.000
1062.71
584.122944.630
525. 844 i 850. 167
1
875.950
1417.22
750.935
1214.76
657.194
1062.92
584.294:944.815
525.999
850.333
2
87(5.203
1417.50
751.152
1215.00
657.384
1063.13
584.463945.000
520.151
850.500
3
876.450
1417.78
751.369
1215.24
657.574
1063.33
584.631
945.185
526.303
850.667
4
876.714
1418.06
751.590
1215.48
657.767
1063.54
584.804
945.370
526.458
850.833
5
876.972
1418.33
751.811
1215.71
657.961
1063.75
584.976
945.556
526.613
851.000
6
877.225
1418.61
752.028
1215.95
658.151
1063.96
585.144
945.741
526.765
851.167
7
877.479
1418.89
752.245
1216.19
658.341
1064.17
585.313
945.926
526.917
851.333
8
877.737
1419.17
752.466
1216.43
658.534
1064. 08
585.485
946.111
527.072
851.500
9
877.995
1419.44
752.688
1216.67
658.728
1064.58
585 657
946.296
527.227
851.667
10
878.252
1419.72
752.909
1216.90
658.921
1064.79
585.830
946.481
527.382
851.833
11
878.510
1420.00
753.130
1217.14
659.115
1065.00
586.002
946.667
527.537
852.000
12
878.764
1420.28
753.347
1217.38
659.305
1005.21
586.170
946.852
527.689
852.167
13
879.017
1420.56
753.564
1217.62
659.495
1065.42
586.339
947.037
527.841
852.333
14
879.275
1420.83
753.785
1217.80
659.688
1065.03
586.511
947.222
527.996
852.500
15
879.5:33
1421.11
754.000
1218.10
659.882
1005 83
586.683
947.407
528.150
852.667
16
879.791
1421.39
754.227
1218.33
660.075
1000.04
586.856
947.593
528.305
852.833
17
880.049
1421 . 67
754.448
1218.57
600.269
1066.25
587.0^8
947.778
528.460
853.000
18
880.307
1421.94
754.670
1218.81
660.463
1066.46
587.200
947.963
528.615
853.167
19
880. 5G4
1422.22
754.891
1219.05
660.656
1066.67
587.372
948.148
528.770
853.333
2O
860.822
1422.50
755.112
1219.21
660.850
1066.88
587.544
948.333
528.925
853.500
21
881.080
1422.78
755.333
1219.52
661.043
1067.08
587.716
948.51'.
529.080
853. £67
22
881.334
1423.00
755.550
1219.76
001.233
1067.29
587.885
948.704
529.232
853.833
23
881.587
1423.33
755.767
1220.00
661.423
1067.50
588.054
948.889
529.384
854.000
24
881 '.845
1423.61
755.988
1220.24
661.617
1067.71
588.226
949.074
529.539
854.167
25
882.103
1423.89
756.209
1220.48
601.810
1067.92
588.398
949.259
529.694
854.333
26
882.301
1424.17
756.430
1220.71
602.004
1068.13
588.570
949.444
529.849
&54.500
21
882.619
1424.44
i 56. 652
1220.95
662.197
1068.33
588.742
949.630
530.003
854.667
28
882.876
1424.72
756.873
1221.19
662.391
1068.54
588.914
949.815
530.158
854.833
29
883.134
1425.00
757.094
1221.43
662.584
1068.75
589.086
950.000
530.313
855.000
30
883.392
1425.2b
757.315
1221.67
662.778
1068.96
589.258
950.185
530.468
855.167
31
883.650
1425.56
757.536
1221.90
662.971
1069.17
589.430
950.370
530.623
855.333
32
883.908
1425.83
757.757
1222.14
663.165
1009.38
589.602
950. 55t
530.77'8
855.500
33
884.160
1426.11
757.97'8
1222.38
663.358
1069.58
589.774
950.741
530.933
855.667
34
884.424
1426. 3U
758.200
1222.62
603.552
1069.79
589.946
950. 92f
531.088
855.833
35
884.682
1426.67
758.421
1222.86
663.745
1070.00
590.118
951.111
531.243
856.000
36
884.940
885.198
1426.94
1427.22
758.64-J
758.863
1223.10
1223.33
663.939
664.132
1070.21
1070.42
590.290951.291
590.462951.481
531.398
531.552
856.167
856.333
37
38
885.456
1427.50
759.084
1223.57
664.326
1070.63
590.635
951.667
531.707
856.500
39
885.714
1427.78
759.305
1223.81
664.520
1070.83
590.807
951.852
531.862
856.667
40
885.972
1428.06
759.526
1224.05
664.713 1071.04
590.979
952.037
532.017
856.833
41
886.230
1428.33
759.747
1224.29664.907 1071.25
591.151
952.222
532.172
857.000
42
886.488
1428.61
759.969
1224.52
665. 100 1 1071. 46
501.828
952.407
532.327
857.167
43
886.746
1428.89
760.190
1224 76
665.294 1071.67
591.495
952.593
532.482
S57 333
44
887.008
1429.17
760.415
1225.00665.491 1071.H8
591.670952.778
532.640
857.500
45
887.271
1429.44
700.640
1225.24 665.688 1072.08
591.845952.963
f 32. 797
857.667
46
887. 529 11429. 72
760.801
1225.48665.881 1072.29
592.017953.148
532.952
857.833
47
887.787
1430.00
761.082
1225.71
606.075 1072.50
592.189953.333
533.107
858.000
48
888.045
1430.28
761.304
1225.95
666.268
1072.71
592.362
953.519
533.262
858.167
49
888 303
1430.56
761.525
1226.19
666.462
1072.92
592.534
953.704
533.417
858.333
50
888.561
1430.83
761.746
1226.43666.656 1073.13
592.706 1953. 889
533.572
858.500
51
888.819
1431.11
761.967
1226 67660.849 1073.33
592.8781954.074
533.727
858.667
52
889.077
1431.39
762 . 1 88 1 226 . 90 667 . 043 1 0? 3 . 54
593.050954.259
533. 8S2' 858. 833
53
889.335
1431.67
702.409 1227.14 607 236 1073.75
593.222954.444
534.036859.000
54
889.598
1431.94
702 035 1227.38 667.433 1073.96
593.397 954.030
534.194859.167
55
889 860
1432.22
702.800 1227.62 067 630 1074.17
593.572954.815
534.352859.333
56
890.118
1432.50
763.081 1227.80 667.824 1074.38
593. 74 4 : 955. 000
534.507859.500
57
890.376
1432.78
763 . 302 1 228 . 1 0 008 . 01 7 1074 58
593 916955.185
534.662859.667
58
890.639
1433.06
703.527 1228.33 608.215 1074.79
594.092955.370
534.8201859.833
59
217
TABLE XIV. — ACTUAL TANGENTS, ETC.
86°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan. j Arc.
Tan.
Arc.
Tan.
Are.
Tan.
Arc.
Tan.
Arc.
0
5343.01 8600.00
2671.604300.00
1781.19
2806.67
1336.01
2150.00 1068. 93 S 720.00
1
5344. 56 8001. 07'
2672.384300.83
781.70
2867.22
1330.40
2150.421069.24 720.33
2
5340.11 8603.33
2673.154301.67
782.22
2867.78
1336.79
2150.83 1069.55! 720.07
3
5347.658605.00
2673.934302.50
782. 73
2868.33
1337.17
2151.25 1069. S6, 721.00
4
5349.208606.07
.'674.70 4303. 33
783.25
2868.89
1337.56
2151 6711070.17
721.33
5
5350.788608 33
2075.494304.17
783.78
2869.44
1337.95
2152.08 1070.48
721.67
6
5352.358610.00
2 '.76. 27 4305. 00
1784.30
2870.00
1338 35
2152.50
1070.80
722.00
7
5353.5)0
8611.67
2077 05 4305 83
1784 82
28?'0.56
1338.73
2152.92
1071.11
722 33
8
5355.45
8613.33
2677.824306.67
1785.33
2871.11
1339.12
2158.88
1071.42
1722.67
9
5857.02
8615.00
2678.61
4307.50
1785.86
2871.67
1339.52
2153.75
1071.73
1723.00
1O
5358.60
8616.67
2679 40
4308.33
1786.38
2872.22
1339.91
2154.17
1072.05
1723.33
li
5360.14
8618.33
2680.17
4309.17
1786.90
2872.78
1340 30
2154.58
1072.36
723.67
12
5361.698620.00
2680.94
4310.00
1787.41 2873.33
1340.68
2155.00
1072.67
1724 00
13
5363.2786:21.67
2681.73
4310.83
1787.942873 89
1341.08
2155.42
1072.98
1724.33
14
5364.84
8623.33
2682.52
4311.67
1788.47;2874.44
1341.47
2155.83
1073.30
1724.67
15
5366.4-2
862500
2683.31
4312.50
1788.992875.00
1341.86
2156.25
1073.61
1725 00
16
5367.99
8626.67
2684.10
4313.33
1789.522875 56
1342.26
2156.67
1073.93
1725.33
17
5369.54
8628.33
2684.87
4814.1;
1790.032876.11
1342.65
2157.08
1074.24
1725.67
18
5371.09
8630.00
2685.64
4315.00
1790.552876.6?
1343 03
2157.50
1074.55
1726.00
19
5372.66
8631.67
2686.43
4315.83
1791.07
2877.22
1343.43
2157.92
1074.86
1720.33
2O
5374.24
8633 33
2687.22
4316.67
1791.602877.78
1343.82
2158.33
1075.18
1726.67
21
5375.82
8635 00
2688.01
4317.50
1792.122878.33
1344.21
2158.75
1075.49
1727.00
22
5377.39
8636 67
26^8 79
4318 33
1 792. 65 ! 287 8. 89
1344.61
2159.17
1075.81
1727.33
23
5378.91
8638.33
2689.57
4319.17
1793. 16| 2879. 44
1345.00
215!) 5S
1076.12
1727 67
34
5380.49
8640.00
2690.34
4320.00
1793.682S80.00
1345.38
2160.00
1076.43
1728.00
25
5382.06
8641.67
2691.13
4320.83
1794.202880.56
1345.78
2160 42
1076.74
1728.33
26
538 i. 64
8643.33
2691.92
4321.6?
1794.732881.11
1346.17
2160.83
1077.06
1728.67
27
5385.21
8645.00
2693.70
4322.50
1795.262881.6?
1346.56
2161.25
1077.37
1729.00
28
5386.79
8616.67
2093.49
4323.33
1795.782882.22
1346.96
2161.67
1077.69
1729.33
39
5388.36
8648.33
2094.28
4324.17
1796.31
2882.78
1347.35
2162.08
1078.00
1729.67
3O
5389.94
8650.00
2695.07
4325.00
1796.832883.33
1347.75
2162 50
1078.32
1730.00
31
5391.49
8051 or
2695.84
4325.83
1797. 35; 2883. 89
1348.13
2162.92
1078.03
7'30.33
32
5393.03
S053 33
2096.62
4326.67
1797'. 86 2884. 44
1348.52
2103.33
1078.94
1730.67
33
5394.61
8655.00
v!697.40
4327.50
1798.392885.00
1348.91
2163.75
1079.25
1731.00
34
5396.18
8656 67
2698.19
4328.33
1798.91 2885.56
1349.31
2164.17
1079.57
1 731.33
35
5397.76
8658.33
2698.98
4329.17
1799.44
2886.11
1319.70
2164.58
1079.88
1731.07
36
5399.34
8660.00
2699.77
4330.00
1799.96
2886.6?
1350.10
2165.00
1080.20
1732 00
37
5100.91
8661.67
2700.55
4330.83
1800.49
2887.22
1350.40
2165.42
1080.51
1732.33
38
5402.49
S663.33
-!701.34
4331.67
1801 01
2887.78
1350.88
2105.83
1080.83
1732.07
39
5404.06
8665.00
2702.13
4332.50
1801.54
2888.33
1351.28
2166.25
1081.14
1733.00
4O
5405.64
8666.67
2702.92
4333.33
1802 00
2888.89
1351.67
2166.67
1081.40
1733.33
41
5107.21
8668.33
2703 71
4334 17
180;. 59 2889. 44
1352.07
2167.08
1081.77
1733.67
42
5408.79
8670.00
2704.49
4335.00
1803.122890.00
1352.40
2167.50
1082.09
1734.00
43
5110.37
8671.67
2705.28
4335.83
1803.642890.56
13 -.2.85
2167.92
1082.40
1734.33
44
5411 94
8673.33
2706.07
4336 67
1804.172891.11
1353.25
2168.33
1082.72
1734.67
45
5413.52
8675.00
2706.86
4337.50
1804.692891.67
1358.04
2168.75
1083.03
1735.00
46
5415.09
8676.67
2707.65
1338.33
1805.222892.22
1354.04
2169.17
1083 35
1735.33
47
5416.67
8678.33
2708.43
4339.17
1805.74 2892.78
1354.43
2169.58
1083.66
1735.67
48
5418.24
80SO 00
2709.22
4340.00
1806.272893.33
1354.82
2170.00
1083.98
1736.00
49
5419.82
8681.67
2710.01
4310.83
1806.792893.89
1355.22
2170.42
1084.29
1736.33
5O
5421.39
8083.33
2710.80
4341.67
1807.322894 44
1355.01
2170.83
1084.61
1736.67
51
5423.00
8685.00
2711.60
4342.50
1807.85 2895. 00
1356.01
2171.25
1084.93
1737.00
52
5424.60
8686.67
2712.40
4343.33
1808.392895.56
1350.41
2171.67
1085.25
1737.33
53
5426.18
8688 33
2713.19
4344.17
1808.91 2896.11
1356.81
2172.08
1085.57
IT87.67
54
5427.75
8090.00
2713.98
4345.00
1809.442S90 67
1357.20
2172.50
1085.88
738.00
55
5429.33
8691.67
2714.71;
4345.83
1809.962S97.22
1357 60
2172.92
1086.20
738.33
56
5430.91
H693 33
2715.55
-1346.67
1810.492S97.7S
1357.99
2173.33
1086.51
7-58.67
57
5432.48
8695.00
2716.34
4347.50
1811.01 2898.33
1358.3S
2173.75
1080.83
1739.00
58
5434 06
8096.67
2717.13
4348.33
191 1.54 '2898. 89
1358.78
2174.17
1087.14
1739.33
59
5435.638698.33
2717.92
43 19. 1? 11812.06 2899 44
1359.17
2(74.58
1087.46
1739.67
218
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
86°
Tan.
Arc.
Tan. Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
890.90-4
1433. 33 1763. 752 '1228.57
668 412
1075.00
594.267
955.556
534.977
860.000
O
891.160; 1433. 61 |763. 97'4|1228. 81
608.605
1075.21
594.439
955.741
535.132
800.167
1
891.41711433.89764.195
1229.05
668.799
1075. 42 594.01;
955.920
535.287
860.333
2
89i.ti75 1434.1? 764.413
l'J'H) >>()
668.992
1075.63
594 . 783
956.111
535.442
800.500
3
891. 9:33; 1434.44764. 03?
1229.52
009.180
1075.83
591.955
956.290
535.597
860.607
4
892.196 1434.72764.862
1229.70
009.383
1076.04
595.130
956.481
535.755
860.833
5
892.459 1435.00 765.087
1230.00
009.580
1076.25
595,300
950.667
535.912
861.000
6
K92.717 1435.28 765.309
1230.24
669.774
1076.46
595.478
956.852
536.067
861.167
7
892.9751435.50705.530
1230.48
009.967
1076.67
595.650
957.037
536.222
861.333
8
893.237
1435.83
765.755
1230.71
070.164
1076.88
595.825
957.222
536.380
861.500
9
893.500
1436.11
765.980
1-230.95
670.361
1077.08
596.000
957.407
536.538
861.667
1O
893.758
1430.39
766 201
1231.19
670.555
1077.29
596.172
957.593
536.693
861.833
11
894.010
1436.67
766.422
1231.43
670.748
1077.50
590.344
957.778
536.848
862.000
12
894.279
1436.94
766 648
1231.67
670.945
1077.71
596.520
957.963
537.005
862.167
13
894.542
1437.22
766.873
1231.90
671.143
1077.92
596.695
958.148
537.163
862.333
14
894.804
1437.50
767.098
1232.14
671.340
1078.13
596.870
958.333
537.321
862.500
15
895.067
1437.78
767.323
1232.38
671.537
1078 33
597.045
958.519
537.479
862.667
16
895 . 325
1438.06
767 . 545
1232.02
071.730
1078.54
597.218
958.704
537.634
862.833
17
895.583
1438.33
767.706
1232.86
671 . 924
1078.75
597.390
958.889
537.788
803.000
18
895.846
1438.61
767.991
1233.10
672.121
1078.90
597.565
959.074
537.946
863.167
19
896.108
1438.89
768.216
1233.33
672.318
1079.17
597.740
959.259
538.104
863.333
20
896. 3U
1439.17
768.441
1233.57
672.515
1079.38
597.915
959.444
538.262
803.500
21
890.634
1439.44
768.667
1233.81
672.712
1079.58
598.091
959.630
538.419
863.667
22
896.892
1439.72
768.888
1234.05
672.906
1079.79
598.263
959.815
538.574
863.833
23
897.150
1440.00
769.109
1234.29
673.099
1080.00
598.435
900.000
538.729
864.000
24
897.412
1440.28
769.334
1234.52
673 296
1080.21
598.610
960.185
538.887
804.167
25
897.675
1440.56
769.559
1234.76
673.494
1080.42
598.785
960 370
539 045
864.333
26
897.938
1440.83
769.785
1235.00
673.691
1080.63
598.960
900 556
539.203
864.500
2V
898.201
1441.11
770.010
1235.24
073.888
1080.83
599.130
960.741
539.360
864.667
28
898.463
1441.39
770.235
1235.48
674.085
1081.04
599.311
960.926
539.518
864.833
29
898.726
1441 67
770.460
1235.71
674.282
1081.25
599.486
961.111
539.676
865.000
3O
898.984
1441.94
770.081
1235.95
67'4.470
1081.40
599.658
961.290
539.831
865.167
31
899.242
1442.22
770.903
1236.19
074.669
1081.67
599.830
961.481
539.986
865.333
32
899.505
1442.50
771.128
1236.43
074.800
1081.88
000.006
961.667
540.143
865.500
33
899.767
1442.78
771.353
1236.67
67'5.063
1082.08
600.181
901.852
540.301
865.667
34
900.030
1443.00
771.578
1236.90
675.260
1082.29
600.356
902.037
540.459
865.833
35
900.293
1443.33
771.803
1237.14
675.458
1082.50
000.531
962.222
540.617
806.000
36
900.556
1443.61
772.029
1237.38
675.655
1082.71
600.707
962.407
540.774
866.167
37
900.818
1443.89
772.254
1237.62
075.852
1082.92
600.88-.'
902.593
540.932
806.333
38
901.081
1444.17
772.479
1237.80
076.049
1083.13
601.057
962.778
541.090
866.500
39
901.344
1444.44
772.704
1238.10
676.246
1083.33
601.232
962.963
541.248
866.667
4O
901.607
1444. 72 1772. 930
1238.33
676.443
1083.54
601.408
963.148
541.400
866.833
41
901.809
1 445. 00 ! 773. 155 1238. 57
676.640
1083.75
601.583
963.333
541.563
867.000
43
902.132
1445.28773.380
1238.81
076.837
1083.96
001.758
963.519
541.721
867.167
43
902.395
1445.50 773.605
1239.05
677.034
1084.17
001.933
963.704
541.879
867.333
44
902.657
1445.8377'3.831 1239.29
677.232
1084.38
602.109
963.889
542 037
867.500
45
902 . 920 1446.11 774 . 050 ! 1239 . 52
677.429
1084.58
602.284
964.074
542.194
867.667
46
903. 183 11446. 39 '774. 281
1239.76
677.626
1084.79
602.459
964.259
542.352
867.833
47
903.446
1446.67774.506
1240.00
677.823
1085.00
002.634
964.444
542.510
868.000
48
903.708
1446.94,774.731
1240.24
6i 8. 020
1085.21
602.810
964.630
542.668
868.167
49
903.971
1447.22774.957
240.48
078.217
1085.42
602 985 '964. 81 5
542.825
868.333
50
904.239
1447.50775.180
2J0.71
678.418
1085.63
603. 163 1965. 000
542.986
868.500
51
904.500
1447.78775.415
240.95
078.019
1085.83
603.342965.185
543.147
868.667
52
904.709
1448. 00 775. H41
241.19078.810
1086.04
603.517905.370
543.304
808 833
53
905.032
1448.33775.800
241.43079.013
1086.25
603.692
965.556
543 402
869.000
54
90."). 294
1448.61 770.091
241.07
079.210
1086.46
603.867
965.741
543.620
869.167
55
905 . 557
1448.89770.310
1241.90
079.407
1086.07
604.043
965.926
543.778
869.333
56
905.820
1449.17770.541
1242.14
679.604
1086.88
604.218
906.111
543.936
869.500
57
906. 082 1 1449. 44 776. 7 07
906. 345 U449. 72 776. 992
1242.3S679.cS01
1242.621679.998
1087.08
1087.29
604.393
604.568
966.296
900.481
544.093
544.251
809 007
869.833
58
59
219
TABLE XIV.— ACTUAL TANGENTS, ETC.
87°
1° Curve.
3° Carve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
5437.21
8700.00
2718.70
4350.00
812.59
2900.00
1359.57
2175.001087.77
1740.00
1
5438.81
8701.67
2719.51
4350.83
1813.12
2900.50
1359.9712175.42 1088.09
1740.33
3
5440.42
8703.33
2720.31
4351.67
1813.66
2901.11
1300.37
2175.83 1088.42
1740.67
3
o441.99
8705.00
2721.10
4352.50
814.18
2901.67
1360.70
2176.25 1088.73
1741.00
4
5443.57
8706.67
2721.88
4353.33
814.71
2902.2:2
1361.16
2176.67 |1089. 05
1741.33
5
5445 14
8708.33
2722.67
4354.17
1815.23
2902.78
301.55
2177.08 1089.361741.67
0
5446. 7'2
8710.00
2723.46
4355*. 00
1815.76
2903.33
1361.94
2177.50 1089.08
1742.00
7
5448.32
8711.67
2724.26
4355.83
1816.30
2903.89
1362 34
2177.92 1090.00
1742.33
8
5449.93
8713.33
2725.06
4356.67
1816.83
2904.44
1362.75
2178.331090.32
1742.67
9
5451.50
8715.00
2725.85
4357.50
1817.36
2905.00
1363.14
2178.75
1090.63
1743.00
10
5153.08
8716.67
2726.64
4358.33
1817.88
2905.56
1303.53
2179.17
1090.95
1743.33
11
5454.68
8718.33
2727.44
4359.17
1818.42
2906.11
1363.94
2179.581091.27
1743.67
13
5456.29
8720.00
2728.24
4360.00
1818.952906.67
1364.84
2180.0011091 .5ft
1744.00
13
5457. 80
8721.67
,2729.03
4360.83
1819.482907.22
1304.73
2180.42 1091.91
1744.33
14
5459.44
8723.33
2729.82
4361 . 67
1820.00
2907.78
1305.12
2180. 83! 1092. 22
1744.67
15
5461.04
8725.00
2730.62
4362.50
1820.54
2908.33
1365.53
2181.251092 54
1745.00
16
5462.65
8726.67
2731.42
4363.33
1821.07
2908.89
13:55.93
2181.67
1092.86
1745.33
17
5464.22
S7'28.33
2732.21
4364.17
1821 60
2909.44
1300.32
2182.08
1093.18
1745.67
18
5465.80
8730.00
2733.00
4365.00
1822.12
2910.00
1300.71
2182.50
1093.49
1746.00
19
5467.40
8731.67
2733.80
4365.83
1822.66
2910.56
1307.12
2182.92
1093.81
1746.33
3O
5469.01
8733.33
2734.60
4366.67
1823.19
2911.11
1367.52
2183.33
1094.14
1746.67
31
5470.58
873.5.00
2735.39
4367.50
1823.72
2911.67
1367.91
2183.75
1094.45
1747.00
33
5472.16
8736.67
2736 18
4368.33
1824.24
2912.22
1368.30
2184 17
1094.77
1747.33
33
5473.76
8738.33
2736.98
4369.17
1824.78
2912.78
1368.71
2184.58
1095.09
1747.67
34
3475.37
8740.00
2737.78
4370.00
1825. 31 |2913. 33
1369.11
•2185.00
1095.41
1748.00
35
5476.97
8741.67
2738.59
4370.83
1825. 8512913. 89
1309.51
2185.42
1095.73
1748.33
36
5478.58
8743. 33
2739.39
4371.67
1826.38
2914.44
1309.91
2185.83
1096.05
1748.07
37
5480. 15
8745.00
2740.18
4372.50
1826.91
•2915.01.
1370.30
2186.25
1090.37
1749.00
38
5481.73
8746.67
2740.96
4373.33
1827.43
2915.56
1370.70
2186.67
1096.68
1749.33
39
54^3.33
8748.33
2741.77
4374.17
1827.97
2916.11
1371.10
2187.08
1097.00
1749.67
3O
5484.94
8750.00
2742.57
4375.00
1828.50
2916.67
1371.50
2187.50
1097.32
1750.00
31
5486.54
8751.67
2743.37
4375.83
1829.04
2917.22
1371.90
2187.92
1097.64
1750.33
33
5488.15
8753.33
2744.17
4376.67
1829.57
2917.78
1372 30
2188. 33
1097.90
1750.67
33
5489.75
8755.00
2744 98
4377.50
1830 10
2918.33
1372.70
2188.75
1098.29
1751.00
34
5491.35
8756.67
2745.78
4378.33
1830.64
2918.89
1373.10
2189.17
1098.61
1751.33
35
5492.96
8758.33
2746.58
4379.17
1831.17
2919.44
1373.51
2189.58
1098.93
1751.67
36
5494.50
8760.00
2747.38
4380.00
1831.71
2920.00
1373.91
2190.00
1099.25
1752.00
37
5496.14
8761.67
2748.17
4380.83
1832.23
2920.5e
1374.30
2190.42
1099.56
1752.33
38
5497.71
8763.33
2748.96
4381.07
1832.76
2921.11
1374.69
2190.83
1099.88
1752.07
39
5499.32
8765.00
2749.76
4382.50
1833.29
2021.67
1375.10
2191.25
1100.20
1753.00
40
5500.92
8766.67
2750.56
4383.33
1833.83
2922.22
1375.50
2191.67
1100.52
1753.33
41
5502.53
8768.33
2751.36
4384.17
1834.36
2922.78
1375.90
2192.08
1100.84
1753.67
43
5504.13
8770.00
2752.17
4385.00
1834 90
2Q23.33
1376.30
2192.50
1101.16
1754.00
43
5505.74
8771.67
2752.97
4385.83
1835.43
2923.89
1376.70
2192.92
1101.48
1754.33
44
5507.34
8773.33
2753.77
4386.67
1835.97
2924.44
1377.10
2193.33
1101.80
1754.67
45
5508.94
8775.00
2754.57
4387.50
1836.50
21)25.00
1377.50
2193.75
1102.13
1755.00
46
5510.55
8776.67
2755.38
4388.33
1837.04
21)25.50
1377.90
2194.17
1102.45
1755.33
47
5512.15
8778.33
•2756.18
4389.17
1837.57
2926.11
1378.31
2194.58
1102.77
1755.67
48
5513.76
8780.00
2756.98
4390.00
1838.11
2926.67
1378.71
2195.00
1103.09
1756.00
49
5515.36
8781.67
2757.78
4390.83
1838.64
•2927.2;.
1379.11
•2195.42
1103.41
1756.33
50
5516.97
8783.33
•2758.58
4391.67
1839.18
29-27.78
1379.51
2195.83
1103.73
1756.67
51
53
5518.57
5520.17
8785.00
8786.67
2759.39
2760.19
4392.50
4393.33
1839.71 2928.33
1840.2529-28.89
1379.91
1380.31
2196.25
2196.67
1104.05
1104.37
1757.00
1757.33
53
5521.78
8788.33
2760.99
4394.17
1840.78
2929.44
1380.71
2197.08
1104.69
1 757 . 67
54
5523.83
8790. (X
•2761.79
4395. (X
1841.32
2930. 0(
1381.11
•2197.50
1105.01
1758.00
55
5525.02
8791.67
2762.61
4395.83
1841.86
2930. 5(
1881.62
2197.9-2
1105.34
1758.33
56
5526.65
8793.33
•2763 43
4396.67
1842.41
•2931.11
1881.98
2198.33
1105.67
1758.07
57
5528.2"
879.5. (X
2764.23
4397.51
1842.912931.67
1382.33
2198.75
1105.99
1759.00
58
5529.80
8796.6'
2765.03
4398 33
1843. 48 21)32. '2-
1382.73
2199.17
1100.31
1759.33
59
5531.40
8798.33
2765.83
4399.17
1844. 01 12932. 78
1383 13
2199.58
1100.63
1759.07
220
TABLE XIV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
87°
Tan.
Arc.
Tan.
777.217
Arc.
1242 80
Tan.
Arc.
Tan.
Arc.
Tan.
544 409
Arc.
M.
906.008 1450.00
680.1951087 50
004.744
966.667
870.000
0
900. 875 11450. 28
777.446
1243.10
680.396 1087.71
004.922
906. &52
544.569
870.167
1
907.143
1450.56
777.676
1243.33
680.59? 1087.9-2
005.101
967.037
544.730
870.333
2
907.406
1450.83
777.901
1243.57
680.794 1088.13
005.270
967.222
544.888
870.500
3
907.668
1451 . 1 1
778.126
1243.81
680.991 1088.33
005.451
967.407
545.046
870.667
4
907.931
1451.39
778.352
1244.05
681.188 1088.54
605.626
967.593
545.203
870.833
5
908.194
1451.67
778.577
1244.29
681.3851088.75
605.802
907.778
545.361
871.000
6
908.461
1451.94
778.806
1244.52
681.58(51088.96
605.980
967.963
545.522
871.167
7
908.729
1452.22
779.035
1244.76
681.787 1089.17
606.158
908.148
545.682
871.333
8
908.992
1452.50
779.261
1245.00
681.984
1089.38
606.334
968.333
545.840
871.500
9
909.254
1452.78
779.486
1245.24
682.181
1089.58
606.500
968.519
545.998
871.667
10
909.5ft!
1453.06
779.715
1245.48
682.3821089.79
606.687
068.704
546.159
871 .833
11
909.789
1453.33
779.945
1245.71
682.5821090.00
606.866
068.889
546.310
872.000
13
910.052
1453.61
780.170
1245.95
682.7791090.21
607.041
069.074
546.477
872.167
13
910.315
1453. 89
780.395
1246.19
682.977 1090.42
607.216
969.250
546.635
872.333
14
910.582
1454.17
780.624
1246.43
683.177
1090.63
607.395
069.444
546.795
872.500
15
910.850
1454.44
780.854
1246.67
683.378
1090.83
607.573
909.630
546 956
872.667
16
911.112
1454.72
781.079
1246.90
683.5751091.04
607.748
060.815
547.114
872.833
17
911.375
1455.00
781.304
1247.14
683. 772' 1091. 25
607.924
970.000
547.272
873.000
18
911.643
1455.28
781.533
1247.38
683.973
1091.40
008.102
070.185
547.432
873.167
19
911.910
1455.56
781.763
1247.62
684.174
1091.67
60S. 281
970.370
547.593
873.333
20
912.173
1455.83
781.988
1247.86
684.371
1091.88
608.456
970.556
547. 751
873.500
31
912.436
1456.11
782.213
1248.10
684.568
1092.08
608.031
070.741
547.908
873.667
33
912.703
1456.39
782.443
1248.33
684.769
1092.29
608.800
970.926
548.060
873.833
33
912.971
1456.67
782.672
1248.57
084.909
1092.50
608.988
971.111
548.230
874.000
34
913.238
1456.94
782.901
1248.81
685.170
1092.71
009.160
971.296
548.390
874.167
35
913.506
1457. a.1
783.130
1249.05
685.371
1092 92
609.345
971.481
548.551
874.333
36
913.768
1457.50
783.356
1249.29
685.568
1093.13
609.520
971.667
548.700
874.500
37
914.031
1457.78
783.581
1249.52
085.765
1003.33
609.695
971.852
548.860
874.667
38
914.299
1458.06
783.810
1249.76
085.966
1003.54
609.874
072.03?
549.02?
874.833
39
914.506
1458.33
784.040
1250 00
686.166
1093.75
610.052
972.222
549.188
875.000
30
914.834
1458.61
784.269
1250.24
680.307
1003.90
610.231
072.40?
549.348
875.167
31
915.101
1458.89
784.498
1250.48
686.568
1094.17
610.409
972.593
549.500
875.333
33
915.369
1459.17
784.728
1250.71
086 . 768
1094.38
610.587
972.778
549.670
875.500
33
915.636
1459.44
784.957
1250.95
686.969
1094.58
610.766
972.963
540.830
*75.667
34
915.904
1459.72
785.180
1251.19
687.170
1094.79
010.044
973.148
549.991
875.833
35
916.171
1460.00
785 410
1251.43
087.370
1095.0(1
011.123
973.333
550.151
876.000
36
916.434
1160.28
785.641
1251.6:
687. 50S
1095.21
011.208
973 519
550.300
876.167
37
916.697
1460.56
785.8(56
1251.90
087.705
1005.42
(511.473
973.704
550.46?
876.333
38
916.964
1460.83
786.095
1252.14
087.965
1095.63
611.652
973.880
550.628
876.500
39
917.232
1461.11
786.325
1252.38
688.166
1095.83
611.830
974.074
550.788
876.66?
40
917.499
1461.3'.)
786.554
1252.62
688.367
1096.04
612.000
074.259
550.040
876.833
41
917.76?
1461.67
786.783
1252.86
688.567
1096.25
612.187
974.444
551.110
8?7.00(i
43
918.034
1461.94
787.013
1253.10
688.768
1096.46
612.365
974.630
551.270
877.167
43
918.302
1462.22
787.242
1253.33
688.969
1006.67
612.544
9 i 4. 815
551.431
877.333
44
918.569
1462.50
787.471
1253 57
689.170
1096.88
612.722
075.000
551.591
877.500
45
918.837
1462.78
787.701
1253.81
689.370
1097.08
612.901
075.185
551.752
877.667
46
919.104
1463.06
787.930
1254.05
089.571
1097.29
013.070
075.370
551 913
877.833
47
919.8721463.33
788.159
1254.20
689.772
1097.50
613 258
075.556
552.073
878.000
48
919.639
1463.61
788.389
1254.52
689.972
1007.71
613.430
075.741
552.234
878.16?
49
919.907
1463.89
788 618
1254.76
690.173
1097.92
613.614
075.926
552.395
878.333
5O
920.174
1464.17
788.84?
1255.00
090.374
1098.13
613.793
976.111
552.555
878.500
51
920.442
1464.44
789.077
1255.24
600.574
1098.33
013.971
970.296
552.716
878.667
53
920.709 1404.72
789.306
1255.48
090.775
1098.54
614.150
076.481
552.876
878.833
53
920. 977 [1465. Od
789.535
1255.71
600.076
1098.75
614.328
976.667
553.037
870.000
54
921.249 1405.28
789.709
1255.95
601.180
109". 90
614.510
976.a->2
553.201
879.167
55
921.521 1465.50
790.002
1256.19
691.384
1090.17
614.601
977.037
553.364
879.333
56
921.780 1465.83
790.231
1250.43
601.585
1090.38
614.870
977.222
553.525
879.500
57
922.056 1466.11
790.461
1256.67
691.786
1009.58
615.048
977.40?
553.685
879.607
58
922.324 1466.39
790.690
1256.90
691.987
1099.79
6 15. 227 1977.593
553 846
8?'9.833
59
221
TABLE XIV. — ACTUAL TANGENTS, ETC.
88°
1° Curve.
3° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
O
5533.07
8800.00
2766.63
4400.00
1844.55
2933.33
13*3.53
2200.00:1106.95
1760.00
1
5534.67
8801. 67 12767. 44
4400.83
1845.08
2933.89
1383.94
2200.42 1107.27
1760.33
2
5536.27
8803.332768.24
4401.67
1845.61
21)34.44
1384.34
2200. 83 i 1107. 59 1760.67
3
5537.88
8805.00
2769.04
4402.50
1846.15
2935.00
1384.74
2201.25
1107.91
761.00
4
5539.48
8806.67
2769.84
4403.33
1846.68
2935.56
1385.14
2201.67
1108.23
761.33
5
5541.12
8808.33
2770.66
4404.17
1847.23
2936.11
1385.55
2202.08
1108.56
761.67
G
5543.75
8810.00
2771.48
4405.00
1847.77
2936.67
1385.96
2202.50
1108.89
762.00
7
5544.35
8811.67
2772.28
4405.83
1848.31
2937.22
1386.36
2202.92
1109.21
762.33
8
5545.90
8813.33
2773.08
4406.67
1848.84
2937.78
1386.76
2203.33
1109.53
762.67
9
5547.56
8815.00
2773.88
4407.50
1849.38
2938. 33
1387.16
2203.75
1109.85
1763.00
1O
5519.17
8816.67
2774.68
4408.33
1849.91
2938.89
1387.56
2204.17
1110.17
1763.33
11
5550.80
8818.33
2775.50
4409.17
1850.46
2939.44
1387.97
2204.58
1110.50
1763 67
12
5553.43
8820.00
2776.32
4410.00
1851.00
2940.00
1388.38
2205.00
1110.83
1764.00
13
5554.04
8821.67
2777.12
4410.83
1851.54
2940.56
1388.78
2205.42
1111.15
1764.33
Id-
5555.64
8823 33
2777.92
4411.67
1852.07
2941.11
1389.182205.83
1111.47
1764.67
lS
5657.2;
8825.00
2778.74
4412.50
1852.62
2941.67
1389.59
2206.25
1111.79
1765.00
16
5558.91
8826.67
2779.56
4413.83
1853.16
2942.22
1390.00
2206.67
1112.12
1765.33
17
5560.51
8828.33
2780.36
4414.17
1853.69
•J942.78
1390.40
2207.08
1112.44
1765.67
18
5562 12
8830.00
2781.16
4415 .00
1854.23
2943.33
1390.80
2207.50
1112.76
17'66 00
19
5563.75
8831. 67
2781.98
4415.83
1854.77
•J943.89
1391.21
2207.92
1113.09
1766.33
20
5565.38
8833.33
2782.79
4416.67
1855.32
•J944.44
1391.61
2208.33
1113.42
1766.67
21
5566.99
8835.00
2783.59
4417.50
1855.85
2945.00
1392.02
2208.75
1113.74
767.00
22
5568.59
8836.67
.2784.40
4418.33
1856.39
J945.56
1392.42
$£09.17
1114.06
1767.33
23
5570.22
8838.33
2785.21
4419.17
1856.93
2946.11
1392.83
2209.58
1114.3S
767.67
34
5571.86
8840.00
2786.03
4420.00
1857.48
2946.67
1393.23
2210.00 1114.71
1768.00
25
5573.46
8841 67
2786.83
4420 83
1858.01
.'947.22
1393.63
2210.4'J
1115.03
1768.33
a a
5575 . 06
8813 33
2787.63
44-J1.67
1858.55
J947.7S
1391.04
22 10. S3
1115.35
1768.67
27
5576.70
8845.00
2788.45
4422.50
IS.J9.Oi)
2948.33
1391.44
2211 25
1115.08
1769.00
28
5578.33
8846.67
2J89.27
4423.33
1859.63
,5948.89
131)4.85
221 1 . 67
1116.01
1769.33
29
5579.96
8848.33
2790.08
4424.17
1860.18
2949.44
1395.26
2212.08
1116.33
1769.67
30
5581.60
8S50.00
2790.90
4425.00
1860.72
;>950.00
1395.67
2212.50
1116.66
1770 00
31
5583.20
8851.67
2791.7d
4425.83
1861.26
2950.56
1396.07
2212.92
1116.98
1770.33
32
5584.80
8853.33
2792.50
4426.67
1861 79
2951.11
1396.47
2213.33
1117.30
1770.67
33
5586.44
8855.00
2793.32
4427.50
1862.34
2951.67
131)6.88
2213.75
1117.63
1771.00
34
5588.07
8856.67
2794.14
4428.33
1862.88
,'952.22
1397.89
2214.17
1117.96
1771.33
35
5589.70
8858.33
27'94.95
4429.17
1863.43
2952.78
1397.70
2214.58
1118.28
1771.67
36
5591.34
8860.00
2795.77
4430.00
1863.97
2953.33
1398.10
2215.00
1118.61
1772.00
37
5592.97
8861.67
2796.59
4430.83
1864.52
2953.89
1398.51
2215.42
1118.94
1772.33
38
5594.60
8803.83
2797.40
4431.67
1865.06
2954.44
1398.92
2215.83
1119.26
1772.67
39
5596.24
8865.00
2798.22
4432.50
1865 60
2955.00
1399.33
2216.25
1119.59
1773.00
40
5597 87
8866.67
2799 04
4433.33
1866.15
.J955.56
1399.74
2216.67
1119.9*
1773.33
41
5599.47
8S68.33
2799.84
4434.17
1866.68
2956. 11
1400.14
2217.08
1120.24
1773.67
42
5601 08
8870. U()
2800.64
4435.00
1867.22
2956.67
1400.54
2217.50
1120.56
1774.00
43
5602.71
8871.67
2801.46
4435.83
1867.76
2957.22
1400.95
2217.92
1120.88
1774.33
44
5604.31
8873.33
2802.27
443(5.67
1868.31
2957 78
1401.36
2218.33
1121.21
1774.67
45
5605.98
8875.00
2803.01)
4437.50
1868.85
2958.33
1401.77
2218.75
1121.54
1775.00
40
5607.61
8876.67
2803 91
4438.33
1869.40
2958.89
1402.17
2-J19.17
1121.86
1775.33
47
5609.24
8878. 33
2804.72
4439.17
1809.94
2959.44
1402.58
2211). 58
1122.19
1775.67
48
5610.87
8880.00
2805.54
4140.00
1870.48
2960.00
1402.99
22-0.00
1122.52
1776.00
49
o6l2.51
8881.67
2806.36
4440.83
1871.03
2960.56
1403.40
2220.42
1122.84
1776.33
5O
5614.14
8883.33
2807.17
1441.67
1871.57
2901.11
1403.81
2220.83
1123.17
1776.67
51
5615.77
8885.002807.99
4442.5!:
1872.12
2961.67
1404.22
2221.25
1123.50
1777.00
53
06 17. 41
8886.672808.81
4443.33
1872.66
2962.22
140 4. 62
2221.67
1123.82
1777.33
53
5619.04
88SS.332809.62
4444.17
1873 21 2962.78
1405.03
2-222.08
1124.15
1777.67
54
5020.67
8890.002810.44
1445.00
1873.75
2963.33
1405.44
2222.50
1124.48
1778.00
55
5622. 31
8891.672811.26
1445.83
1874.29
2963.89
1405.85
2222.92
1124.80
177'8.33
5(>
5623.94
8893.332812.07
4446.67
1874.84
2964.44
1406.26
2223.33
1125.131778.67
57
5625.60
8895.002812.90
44*7.50
1875.392965.00
1406.67
2223.75
1125.46 1779.00
58
5627.26
8896.672813.73
4448.33
1875.952965.56
1407.0!) 2224. 17
1125.80 1779.33
59
5628.89
8898.332814.55
4449.17
1876.49,2966.11
1407.50J2224 58 1126.12 1779. C7
TABLE XIV. — ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
1O° Curve.
88°
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
M.
922. 591 '1466. 67
790.919
1257.14
692.187
1100.00
015 . 405 977 . 778 554 . 007 880 . 000
~O
9:22.859 14(56.94
791.149
1257.38
602.388
1100.21
015. 584; 977. 963 554. 167
880.167
1
923. 126 1467. 2*
791.378
1257.052
602.589
1100.42
615.762978.148
554.328
880.333
2
923.394 1407.50
791 . 607
1257.86
692.789
1100.63
615.041 978.333
554.489
880.500
3
923. 001 -1407.78
791.837
1258.10
692.990
1100.83
616.119978.519
554.649
880.667
4
923. 934 i 1408. 00
792.070 1258 33
603.194 1101.04
616.301 978.704
554.813
880.833
5
924.200
1468.33
792.304 1258.57
693.399
1101.25
616.482978.889
554.976
881.000
0
924.478
1468.61
792.533 1258.81
603.599
1101.46
616.661
979.074
555.137
881 167
7
924.741
1468.80
792.762 1259 .Of,
693.800
1101.07
616.839
979.259
555.297
881.333
8
925.008
1469.1',
702. 991 1 1259. 20
694.001
1101.88
617.018
979.444
555.458
881.500
9
925.276
1469.44
793.221 1259.52
694.201
1102 08
617.196
979.630
555.619
881 607
10
925.548
1469.7*.
793.454
1259.76
694.406
1102 29
617.378
979.815
555.782
881.833
11
925.820
1470.00
793.688
1260.00
694.610
1102.50
617.559
980.000
555.046
882.000
12
926.088
1470.28
793.917
1260.24
694.811
1102.71
017.738
980.185
556.106
882 1(57
13
926.355
1470.56
794.146
1200.48
695.011
1102.92
617.910
080.370
556.267
882.333
14
926.628
1470.83
794.380
1200.71
695.216
1103.13
018.098
980.556
556.430
882.500
15
920 900
1471.11
794.613
1200.95
695.420
1103.33
618.279
980.741
556.594
882 667
16
927.167 1 471.30
794.842
1261.10
095.021
1103.54
618.458
980.926
556.755
882.833
17
927.435
14; 1.67
795.072
1201.43
095.821
1103.75
618.636
981.111
556.915
883.000
18
927.707
1471.94
795.305
1201.67
09(5.026
1103.90
618.818
981.296
557.079
883.167
19
927.979
1472.22
795.539
1261.90
696.230
1104.17
618.999
981.481
557.242
883.333
2O
928.247
1472.51!
705.768
1262.14
600.431
1104.38
619.178
981.667
557.403
883.500
31
928.514
1472.78
795.997
1262.38
096.631
1104.58
619.350
981.852
557.564
883.667
33
928.787
1473.06
706.231
1262.62
606.836
1104.70
019.538
982.037
557.727
883.833
23
929.059
1473 3:-j
790.464
1202.80
607 040
1105.00
619.720
082.222
557.891
884.000
24
H29.327
1473.61
79». . 603
1263.10
697.241
1105.21
610.808
982.407
558.051
884 167
25
929.594
1473.89
796.923
1203.33
697.441
1105.42
620.076
982.593
558.212
884.333
36
929.866
1474.17
797.156
1263.57
697.046
1105.03
620.258
982.778
558.375
884.500
27
930.139
1474.44
; 97. 390
1263.81
097.850
1105.83
620.440
982.963
558.539
884.667
28
930.411
1474.72
797.623
1264.05
698.054
1106.04
620.621
983.148
558.702
884.833
29
930.683
1475.00
797.856
1264.29
698.258
1106.25
620.803
983.333
558.866
885.000
30
930.951
1475. 28
798.080
1264.52
608.459
1100 40
020.981
983 5 '.$
559.026
885.167
31
931.218
1475.56
798.315
1204.70
698.660
1100.67
621.160
983, 704
559.187
885.333
32
931.490
1475.83
798.549
1205.00
698.864
1106.88
621.341
983.889
559.351
885.500
33
931.763
1476.11
798.782
1205.24
699.068
1107.08
621.523
984.074
559.514
885.667
34
932.035
1476.39
709.015
1205.48
600.273
1107.29
621.705
984.259
559.078
885.833
35
932.307
1476.67
799.249
1265.71
699.477
1107.50
621.886
984.444
559.841
886.000
36
932.580
1476.94
799.482
1265.95
699.681
1107.71
622.068
984.630
560.005
886.167
37
932.852
1477.22
799.716
1266.19
699.885
1107.92
622.249
984.815
500.168
886.333
38
033.124
1477.50
790.949
1266.43
700.090
1108.13
622.431
985.000
500.332
886.500
39
933.396
1477.78
800.182
1266.67
700.294
1108.33
622.613
985.185
560.495
886.667
4O
933.664
1478.06
800.412
1266.90
700.495
1108.54
622.791
985.370
500.056
886.833
41
933.931
1478.33
800.041
1267.14
700.695
1108.75
622.970
985.556
500.810
887.000
42
934.204
1478.61
800.875
1267.38
7(0.900
1108 90
623.151
985.741
500.980
887.167
43
934.476
1478.89
801.108
1267.62
701.104
1109.17
623.333
985.926
501.143
887.333
44
934.748
1479.17
801.341
1267.86
701.308
1109.38
623.514
986.111
561.307
887.500
45
935.021
1479.44
801.575
1268.10
701.513
1109.58
023.696
986.290
561.470
887.007
46
935. 291
1479.72
801.808
1268.33
701.717
1109.79
623.878
986.481
561.634
887.833
47
935.565
1480.00
802.042
1268.57
701 921
1110.00
024.059
986.667
561.797
888.000
48
935.837
1480.28
802.275)1268.81
702.125
1110.21
024.241
986.852
561.961
888.167
49
936.110
1480.56
802.509 1269.05
708,880
1110 42
624.423
987.037
562.124
888.333
5O
93(5.382
1480.83
802. 742 11269. 29
702.534
1110.03
624.604
987.222
562.288
888.500
51
936 . 654
1181.11
802.975 1269 52
702.738
1110.83
624.786
987.407
562.451
888.067
52
936.927
1481.30
803.209 1269.76
702.943
1111.04
624.967
987.593
562.615
888.833
53
937.199
937.471
1481.67
1481.94
803.4421270.00
803.676 1210.24
703.147
703.351
1111.25
1111.40
625.149
625.331
087.778562.778
987.963562.942
880.000) 54
889.167 55
037.743
1482.22
803.000 1270.48
703.555
1111.67
625.512
988. 148! 563. 105
889.333 56
938.020
1482.50
804.147 1270.71
703.763
1111.88
625.697
988.888568.878
8H9.500
57
938.297
1482.78
804.3841270.95
703.971
1112.08
625.882
088.5191563.438
889.667
58
938.570
1483.06
804.617 1271.19
704.175
1112.29
026. 004 988. 704 1 503. 602
880.833
59
223
TABLE XIV. — ACTUAL TANGENTS, ETC.
89°
1° Curve.
2° Curve.
3° Curve.
4° Curve.
5° Curve.
M.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
Tan.
Arc.
o
5(530.53
8900. OC
2> 15. 37! 4450. 00 1877.04
2966.67
1107.90
2225.00
1120.45
1780.ni)
1
3033.10
8901.07'
2816.184450.83 1877.58
2907.22
1408.31
2225.42
1126.78
1780.33
2
5633.71)
8903.33
28 17. CO 4451. 67
1878.12
2967.78
1408.72
2225.83
1127.10
1780.07
3
5635.43
8905. DO
2817.824452.50
1878.67
2908.33
1409.13
^226.25
1127.43
1781.00
4
5(537. 00
8900.07
2818. 63! 4453. 33
1879.21
2908.89
1409.54
^226.67
1127.76
1781.33
5
5638.69
81)08.33
2819.45
4454.17
1679.76
2969.44
1409.95
2227. Oh
1128.08
1781.67
6
5(540.32
8910.00
2820.27
4455.00
1880.30
2970.00
1410.35
2227.50
1128. 41 11782. 00
7
5641.99
8911.07
2821.10
4455.83
1880.86
2970.50
1410.77
2227.92
1128.74J1782.33
8
5643.65
8913.33
2821.93
4450.07
1881.41
2971.11
1411.19
2228.33
1129.07
1782.07
9
5645.28
891 5. OU
2822.74
4457.50
1881.952971.67
1411.59
2228.75
1129.40
1783.00
1O
5646.91
8916.67
2823.56
4458. 33 j 1882. 50
2972.22
1412.00
2229.17
1129.73
1783.33
11
5648.55
8918.33
2824.38
4459.17
1883.04
2972.78
1412.41
2229.58
1130.05
1783.07
12
5650.18
8920.00
2825.19
4400.00
1883.59
2973.33
1412.82
2230.00
1130.38
1784.00
13
5051.84 8921.6?
2826.02
4460.83
1884.14
2973.89
1413.23
2230.42
1130.71
1784.33
14
5663.60
8923.33
•2826.80
4401. 67 1 1884. 70
2974.44
1413.65
2230.83
1131.05
1784.67
15
56«5.14
8925.00
2827.07
4402. 50! 1885. 24
2975.00
1414.00
2231.25
1131.37
1785.00
16
5056.77
8926.67
2828.49
4403.33
1885.78
2975.56
1414.47
2231.67
1131.70
1785.33
17
5658.43
8928.33
2829.32
4404.17
1886:34
2976.11
1414.88
2-232. OS
1132.03
1785.67
18
5060.09
8930.00
•2830.15
4405. OJ
1886.89
2976.67
1415.30
2232.50
1132.36
1786.00
19
5661.72
8931.67
2830.97
4465.83
1887.44
2977.22
1415.71
2232.92
1132.69
1786.33
20
5663.36
8933.33
2831.78
4466.67
1887.98
2977.78
1416.11
2233.33
1133.02
1786.67
21
5665.02
8935.00
2832.61
4467.50
1888.53
2978.33
1416.53
2233.75
1133.35
1787.00
22
5606.68
8936.07
2833.44
4408.33
1889.09
2978.89
1416.94
2-234.17
1133.68
1787.33
23
5668.31
8938.33
2834.20
4409.17
1889.63
2979.44
1417.35
2234.58
1134.01
1787.67
24
5669.95
8940.00
2835.08
1470.00
1890.18
2^80.00
1417.76
2235.00
1134.34
1788.00
25
5071.61
8941.67
•2835.91
4470.83
1890.73
2980.56
1418.18
2235.42
1134.67
1788.33
26
5673.27
8913.33
2836.74
4471.67
1891.28
2981.11
1418.59
2235.83
1135.00
1788.67
27
5074.90
8945.00
2837.50
4472.50
1891.83
2981.67
1419.00
2236.25
1135.33
1789.00
28
5676.54
H94G.07
•2838.37
1473.33
1892.31
2982.22
1419.41
2230.67
1135.65
1789.33
29
5678.20
8948.33
2839.20
4474.17
1892.93
2982.78
1419.82
2237.08
1135.99
1789.67
30
5679.86
8950.00
2840.03
4475.00
1893.48
2983.33
1420.24
2237.50
1136.32
1790.00
31
5081.52
8951.67
2840.80
4475.83
1894 04
2983.89
1420.60
2-237.92
1136.65
1790.33
32
5683.18
8953.33
2841.70
4476.67
1894.59
2984.44
1421.07
2238.33
1136.98
1790.67
33
5084 84
8955.00
2842.53
4477.50
1«95.14
2985.00
1421.49
2238.75
1137.32
1791.00
34
5080.51
8956.67
2843.36
4478.33
1895.70
2985.56
1421.90
2239.17
1137.05
1791.33
35
5088.14
8958.33
2844.17
4479.17
1896.24
2986.11
1422.31
2239.58
1137.98
1791.67
36
5689.77
8960.00
2844.99
4480.00
1896.79
2986.67
1422.72
2240.00
1138.30
1792.00
37
5691.43
8961.67
2845.82
4480.83 1897.34
2987.22
1423.13
2240.42
1138.03
1792.33
38
5693.09
8963.33
2846.65
4481.67:1897.89
2987.78
1423.55
2240.83
1138.97
1792 07
39
5694.76
8965.00
2847.48
4482.50
1898.45
2988.33
1423.96
2241.25
1139.30
1793 00
40
5096.42
8966.67
2848.31
4483.33
1899.00
2988.89
1424.38
2241.67
1139.63
1793.33
41
5698.08
8908.33
2849.14
4484.17 1899.56
2989.44
1424.80
2242.08
1139.96
1793.07
42
5699.74
8970.00
2849.98
4485.001900.11
2990.00
1425.21
2242.50
1140.30
1794.00
43
5701.40
8971.67
2850.81
4485.83 1900.66
2990.56
1425.63
2242.92
1140.03
1794.33
44
5703.06
8973.33
2851.64
4486.6711901.22
2991.11
1426.04
•2243.33
1140.96 1794.07
45
5704.73
8975.00
2852.47
4487.501901.77
2991.67
1426.46
2243.75
1141.29 1795.00
46
5706.39
8976.67
2853.30
4488.33 1902.33
2992.22
1426.87
2244.17
1141.63ll795.33
47
5708.05
8978.33
2854.13
4489.17,1902.88
2992.78
1427.29
2244.58
1141.96
1795.07
48
5709.71
8980.00
2854.90
4490.00 1903.43
2993.33
1427.70
2245.00
1142.29
17! '0.00
49
5711.37
8981 . 67
2855.79
4490.83
1903.99
2993.89
1428.12
2245.42
1142.62
1796.33
50
5713.03
8983.33
2856.62
4491.67
1904.54
2994.44
1428.54
•2245.83
1142.96
1796.67
51
5714.70
8985.00
2857.45
4492.50 1905.09
291)5.00
1428.95
2246.25
1143.29
1797.00
52
5716.36
8986.67
2858.28
4493.331905.65
201*5.56
1429.37
2246.67
1143.62
1797.33
53
5718.02
8988.33
2859.11
4494.17 1906.20
2996.11
1429.78
2247.08
1143.95
1797.67
54
5719.68
8990.00
2859.95
4495. 001 906. 76
2990.67
1430.20
2247.50
1144.29
1798.00
55
5721 .34
8991.67
2860.78
4495.831907.31
2997.22
1430.61
2247. 92 ! 1144. 02
1798.33
56
5723.00
8993.33
2861.61
4490.67 1907.86
2997.78
1431.03 -2248.33 1144.95 1 71)8.07
57
5724.67
8995.00
2862.44
4497.501908.42
2998.33
1 431 . 44 2248 . 75 1145. 28 1 7 1)9 . 00
58
5726.33
8990.07
2803.27
4498.33 1908.97
2998.89
1431.80 2249. 1711145. 02J1799. 33
59
5727.998998.33
2804.10
4499.17 1909.53
2999.44
1432.2712249.58 1145.951 1799. 07
224
TABLE XTV.— ACTUAL TANGENTS, ETC.
6° Curve.
7° Curve.
8° Curve.
9° Curve.
10° Curve.
89°
Tan.
Arc.
Tan.
Arc.
Tan.
A re.
Tan.
Arc.
Tan.
Arc.
M.
938.8-12 1483.33
804.851
1271.43
704.380
1112.50
626.245
988.889
563 765
890.000
0
939.114 1483.61
805.084
1271.67
7'04.584
1112.71
626. 427 [989.074
563.929
890.167
1
939.387
1483.89
805.318
1271.90
704. 78H
1112.92
626.608
989.259
564.092
890.333
2
939.659
1484.17
805.551
1272.14
704.993
1113.13
626.790
989.444
564.256
890.500
3
939.931
1484.44
805.785
1272.38
705.197
1113.33
626.972
989.630
564.419
890.667
4
940 203
148-4.72
806.018
1272.62
7'05.401
1113.54
627.153
989.815
564.583
890.833
5
940.476
1485.00
806.251
1272.86
705.605 1113.75
627.3:-55
990.000
564.746
891.000
6
940.753
1485.28
806.489
1273.10
705.8131113.96
627.520
990.185
564.912
891.167
7
941.030
1485.56
806.726
1-J73.33
706.02111114.17
627.705990.370
565.079
891.333
8
941 . 302
1485.83
806. 96U
1273.57
706.225
1114.38
627.886
990.556
565.242
891.500
9
941.574
1486.11
807.193
1273.81
706.430
1114.58
628.068
900.741
565.406
891.667
10
941.847
1486.39
807.427
1274.05
706.634
1114.79
628.249
990.926
565.569
891.833
11
942 119
1486.67
807.660
1274.29
706.838
1115.00
628.431
991.111
565.733
892.000
13
942.396
1486.94
807.898
1274.52
707.046
1115.21
628.616
991.296
565.899
892.167
13
942.673
1487.22
808.135
1274.76
707.254
1115.42
i28.80l
991.481
566.066
892.333
14
942.945
1487.50
808.369
1275.00
707.458
1115.63
628.982
991.667
566.229
892.500
15
943.218
1487.78
S08.602
1275.24
707.663
1115.83
629.164
991 852
566 393
892.667
16
943.495
1488.06
808.840
1275.48
707 870
1116.04
629.349
992.037
566.559
892.833
17
943.772
1488.33
809.077
1275.71
708.078
1116.25
629.533
992.222
566.725
893.000
18
944.044
1488.61
809.310
1275.95
708.283
1116.46
629.715
992.407
566.889
893.167
19
944.316
1488.89
809.544
1276.19
708.487
1116.67
629.897
992.593
5G7.052
893.333
30
944.593
1489.17
809.781
1276.43
708 695
1116.88
630.082
992. 77b
567.219
893.500
31
944.870
1489.44
810.019
1276.67
708.903
nr.08
630.266
992.963
567.385
893.667
22
945.143
1489.72
810.252
1276.90
709.107
111"'. 29
630.448
993.148
567.549
893.833
23
945.415
1490.00
810.486
1277.14
709.311
iir.no
630. 030
993.333
567.712
894.000
34
945.692
1490.28
8 1 0. 723 i 1277. 38
709.519
iir.7i
630.814
993.519
567.878
894.167
35
945.969
1490.56
810.961
1277.62
709.727
iir.92
630.999
993.704
568.045
894.333
26
916.241
1490.83
811.194
1277.86
709.931
1118.13
031.181
J)93.88J
568.208
894.500
27
940.514
1491.11
811.428
1278.10
710.135
1118.33
631.362
994.074
568.372
894.667
28
946.791
1491.39
811.665
1278.33
710.343
1118.54
631.547
994.259
508.538
894.833
29
947.068
1491.67
811.903
1278.57
710.551
1118.75
031. 7S2
994.444
5C8.705
895.000
30
947.345
1491.94
M12.140
1278.81
710.759
1118.96
t»31.917
994.631
508.871
895.167
31
947.622
1492.22
812.378
1279.05
710.967
1119.17
632.102
994.815
569.037
b95.333
32
947.899
1492.50
812.615
1279.29
711.175
1119.38
632.286
995.000
569.204
895.500
33
948.176
1492.78
812.853
1279.52
711.383
1119.5h
ti32.47!
995 185
569.370
895.667
34
948.448
1493.00
813.086
1279.76
711.587
1119.79
632.653
995.370
569.534
895.833
35
948.721
1493.33
813.320
1280.00
711.791
1120. (X
632.835
995. 55(
569.697
896.000
36
948.998
1493.61
813.557
1280.24
7 11. 999
1120.21
633.019
995.741
569.863
896.167
37
949 275
1493.89
813.795
1280.48
712.207
1120.4^
633.204
995.920
570.030
896.333
38
949.552
1494.17
814.032
1280.71
712.415
1120.63
633.389
996.111
570.196
S96.500
39
949.829
1494.44
814.270
1280.95
712.623
1120.83
633.574
996.290
570.303
896.667
40
950.106
1494.72
814.507
1281.19
712.830
1121.04
633.759
996.481
57'0.529
896.833
41
950.383
1495.00
814.745
1281.43
713.038
1121.25
633.943
996.667
570.695
897.000
42
950.660
1495.28
SI 4. 982
1281.67
713.246
1121.46
634.128
996.852
570.862
897.167
43
950.937
1495.56
815.220
1281.90
713.454
1121.67
r.34.313
997.037
571.028
897.333
44
951.214
1495>3
815.457
1282.14
713.662
1121. 8b
634.498
95)7.222
571 . 1 94
897.500
45
951.491
1496.11
815.695
1282.38
713.870
1122.08
634.683
997.407
571.361
897.667
46
951.768
1496.39
815.932
1282.62
714.078
1122.29
634. 86V 1 997. 593
571.527
897.833
47
952.045
1496.67
816.170
12.S2.86J 714 286
1122.50
635. 052 1997.778
571.694
898.000
48
952.322
1496.94
816.407
1283.10
714.493
1122.71
635.237
997.963
571.860
898.167
49
95-2.599
1497.22
816.645
1283.33
714.701
1122.92
635.422
998.148
572.026
898.333
50
952.876
953.153
1497.50
1497.78
816.88212?<3.57
817.120 1:281.81
714.909 1123.13
715.1171123.33
635. 607! 998. 333
635 791 998.519
572.193
572.359
898.500
898.667
51
53
953.431
1498.06
817.3571284.05
715.325 1123.54
635.976998.704
572.525
^98.833
53
953.708
1498.33
817.595 1284.29
71?.5o3ill23.7'5
(.36.161 998.889
572.602
899. 00(
54
953.985 149S.61
817.8321284.52
715.741 1123. 9(
636.346 999.074
572.858
899.107
55
954.262 1498.89
818 070 1284. 76:715. 948 1124.17
636.531 999.259
573.024
899.333
56
954.531) I49»,ll
818.307 12S5. 00 716. 156! 1124. oS
036.716999.444
573.191
899.500
57
954.816 1499.44
818.545 1285.24 716.364 1124.58
036.9(0999.630
573.357
HIM). (507
58
955.0931499.72
818.782 1285.48 716 572 1124.79
637.085999.815
573.524
899.833
59
225
TABLE XV.— NATURAL SINES AND COSINES.
0°
1°
2°
3° |
4°
Sine
Cosin
Sine
Cosin
Sine j Cosin
Sine
Cosin 1
Sine
Cosin
0
Tooooo
One.
.01745
.99985
.03490
. 90039
.05234
.90803
.06976
.99750
60
1
.C0029
One.
.01774
.99984
.03519
.99938
.05203
.99801;
.07005
.99754
59
2
.00058
One.
.01803
.99984
.03548
.99937
.05292
.99800:
.07034
.99752
58
3
.00087
One.
.01832
.99983
.03577
.99930
.05321
.99858
.07063
.99750
57
4
.00116: One.
.01862
.90983
.03000
. 99935
.05350
.9UH57.
.07092
.997481 56
5
.00145 One.
.01891
.99982
.03035
.99934
.05379
.90855
.07121
.00740 55
G
.00175: One.
.01920
.99982
.03004
.99933
.05408
.90854
.07150
.99744! 54
7
.00204! One.
.01949
.99981
.03093
.99932
.U5437
. 99852 !
.07179
.99742; 53
8
.0023.T One.
.01978
.99980
.03723
.99931
.05466!. 99851'
.07208
.99740 52
9
.00202 One.
.02007
.99980
.03752
.99930
.05495 .99849
.07237
.99738 51
10
.00291
One.
.02036
.99979
.03781
.99929
.05524
.99847
.07266
.99736
50
11
.00320
.99999
.02065
.99979
.03810
.99927
.05553
.99846
.07295
.99734
49
12
.00349
.99999
.02094
.99978
.03839
.99928
.055821.99844
.07324
.99731
48
13
.00378
.99999
.02123
.99977
.03808
.99925
.05011
.99842
.07353
.99729
47
14
.00407
.99999
.02152
.99977
.03897
.99924
.05640
.99841
.07382
.99727
46
15
.00436
.99999
.02181
.99976
.03926
.99923
.05669
.99839
.07411
.99725
45
16
.00465
.99999
.02211
.99976
.03955
.99922
.05698
.99838
.07440
.99723
44
17
.00495
.99999
.02240
.99975
.03984
.99921
.05727
.99836
.07409
.99721
43
18
.00524
.99999
.02269
.99974
.04013
.99919
.05756
.99834
.07408
.99719
42
19
.00553
.99998
.02298
.99974
.04042
.99918
.05785
.99833 .07527
.99716
41
20
.00582
.99998
.02327
.99973
.04071
.99917
.05814
.99831,
.07556
.99714
40
21
.00611
.99998
.02356
.99972
.04100
.99916
.05S44
. 99829 ;
.07585
.99712
39
22
.00640
.99998
.02335
.99972
.04129
.99015
.058731.99827 .07614
.99710
38
23
.00669
.99998
.02414
.99971
.04159
.99013
.05092
.99826 .(-7643
.99708
37
24
.00698
.99998
.02443
.93970
.04108
.99012
.05931
.99824
.07672
.99705
36
25
.00727
.99997
.02472
.99969
.04217
.99911
.059601.99822
.07701
.99703
35
26
.00756
.99997
.02501
.99909
.04246
.99010
.05989
.99821
.07730
.99701
34
27
.00785
.99997
.02530
.99968
.04275
.C9909
.00018
.99819 .07759
.99099
33
28
.00814
.99997
.02560
.99967
.04304
.99907
.CC047
.99817 .07788 .99696
32
29
.00844
.99996
.02589
.99906
.04333
.99006
.00076
.99815 .07817 .99694
31
30
.00873
.99996
.02618
.99966
.04302
.99905
.06105
.99813
.07846 .99692
30
31
.00902
.99998
.02647
.99965
.04391
.99904
.06134
.99812
.07875 .99689
29
32
.00931
.99998
.02670
.99904
.04420
OQOQO
.06163
.99810
.079041.99687
28
33
.00960
.99995
.02705
.S99G3
.04449
! 99901
.06192
.90808
.079331.99685
27
34
.00989
.99995
.02734
.99903
.04478
.90900
.06221
.99806
.079621.99683
26
35
.01018
.99995
.02763
.99902
.04507
.99898
.06250
.99804
.07991|.99680; 25
36
.01047
.99995
.02792
.99961
.04536
.99897
.00279
.90803
.08020: 99678 j 24
37
.01076
.99994
.02821
.99900
.04505
.99896
.00308
.99801
.080491.99676: 23
38
.01105
.99994
.02850
.99959
.04594
.99894
.06337
.99709
.080781.99673 22
39
.01134
.09994
.02379
.99959
.04623
.90893
.00366
.99797
.08107
.99671
21
40
.011641.99993
.02908
.99958
.04053
.99892
.06395
.99795
.08136
.90008
20
41
.01 193 !. 99993
.02938
.99957
.04082
.99890
.06424
.99793
.08165
.99666
19
42
.01222 .99993
.02967
.99956
.04711
.99889
.00453
.9G792 .08194 .99664 18
43
.012511.99992
.02996
.99955
.04740
.99888
.00482
.99790 .08223;. 99661 17
44
.01280 '.99992
.03025
.99954
.047C9
.99886
.00511
.99788
.08252 .00050 16
45
.01309 .99991
.03054
.99953
.04798
.90885
.00540
.99786
.08281 .99657 15
46
.01338 .99991
.03083
.99952
.04827
.99883
.00509
.90784
.08310 .99654 14
47
. 01367 j. 99991
.03112
.99952
.04856
.998821 .00598
.90782
.083391.90652! 13
48
. 01396 !. 99990
.03141
.99951
.04885
.998811 .06627
.99780
.08368 .99649: 12
49
.01425J. 99990
.03170
.99950
.04914
.99S79I .06656
.99778
.08397 .99647 11
50
.01454 .99989
.03199
.99949
.04943
.99878 j .06685
.99776
.08426 .90644
10
51
.01483 .99989
.03228
.99948
.04972
.99876
.06714
.99774
.08455
.99642
9
52
.01513L99989
.03257
.99947
.05001
.90875
.00743:. 99772
.08484
.99639
8
53
.01542 .99988
.03236
.999-16
.05030
.90873
.00773
.99770
.08513
.99037
7
54
.01571 .99988
.03316
.99945s
.05059
.90872! .06802
.99708
.08543
.90635
6
55
.01600 .99987
.08345
.99944
.05088
.09870 .00831
.99706
.08571
.90632
5
56
.01 629 ;.99987
.03374
.99943
.05117
.99869
.06860 .99764
.08000
.90030
4
57
.01 658 ',99986
.03403
.99942
.05146
.99867
.00889 .99762
.08029
.90627
3
58
.016871.99986
.03432
.99941
.05175
. 90806
.00018 .99700
.08058
.90625
2
59
. 01716 L 99985
.03461
.99940
.05205
.99864
.06947 .99758
.08687
.99622
1
60
. 01745 j. 99985
.03490
.99939
.05234
.99863
.06976 .00756
.08716 .99619
0
/
Cosin
Sine
Cosin
Sine
Cosin
Sine
Cosin Sine
Co^in | Sine
/
89°
88°
87°
86°
85°
226
TABLE XV. -NATURAL SINES AND COSINES.
5°
6°
7° j| 8°
9°
'
Sine
Cosin
Sine
Cosin
Sine I Cosin
Sine
Cosin
Sine
Cosin
'
o
708716
"99619
.10453
.99452
.12187 799255
713917
.99027
.15643
798769
60
1
.08745
.99617
.10482 .99449
.12216
.99251
.13946 .99023
.15672
.98764; 59
o
.08774
99614
.10511
.99446
.12245
.99248
.13975 .99019
.15701
. 98760 i 58
3
.08803
99612
.10540
.99443
.12274
.99244
.14004
.99015
.15730
.98755 57
4
.08831
.99609
.10569 .99440
.12302
.99240
.14033
.99011
.15758
.98751 56
.08860
.99607
.105971.99437!
.12331
.99237
.14061
.99006
.15787
.98746! 55
6
.08889
99604
.10626 j.99434
.12360
.99233
.14090
.99002
.15816
.98741! 54
7
.08918
99602
.10655
.99431
.12389
.99230!
.14119
.98998
.15845
.98737 53
8
.08947
99599
. 10684
.99428
.12418
.99226
.14148 .98994
.15873
.98732 52
9
.08976
99596
.10713
.99424
.12447 .99222
.14177
.98990
.15902
.98728! 51
10
.09005
99594
.10742
.99421
.12476
.99219
.14205
.98986
.15931
.98723
50
11
.09034
99591
.10771
.99418
.12504
.99215
.14234
.98982
.15959
.98718
49
12
.09063
99588
.10800
.99415:
.12533
.99211 i
.14263
.98978
; .15988
.98714 48
13
.09092
99586
.10329
.99412!
.12562
. 99208 !
.14292 .98973
.16017
.98709 47
14
.09121
99583
.10858
99403 i
.12591
.90204!
.14320 .68969
.16046
.98704 46
15
.09150
99580
.10387
99406
.12620
.99200
.14349
.98965
.16074
.98700! 45
16
.09179
.99578
.10916
99402 j
.12649
.99197;
.14378
.98961
1 .16103
.98695 44
17
.09208
.99575
.10945
99399
.12678
. 99193 i
.14407
.98957
.16132 .98690J 43
18
.09237
.99572
.10973
99390
.12706
.99189
.14436
.98953
i .16160
.98686 42
19
.09266
.99570
.11002
93393
.12735
.991C61
.14464
.98948
i .16189
.98681! 41
20
.09295
.99567
.11031
.99390
.12764
.99182!
.14493
.98944
.16218
.98676
40
21
.09324
.99564
.11060
99336
.12793
.99178
.14522
.98940
! .16246
.98671 39
22
.09353
.99562
.11039
.99333
.12822
.99175
.14551
.98936
.16275
.98667 38
23
.09382
.99559
.11118
.93330
.12851
.99171
.14580
.98931
!. 16304
.98662 37
24
.09411
.99556
.11147
.99377
.12330
.99167
.14608
.98927
.16333
.98657 36
25
.09440
.99553
.11176
.93374
.12908
.99163
.14637
.98923
.16361
.986521 35
26
.09469
.99551
.11205
.99370,
.12937
.99160
.14666
.98919
.163901.98648 34
27
.09498
.99548
.11234
.99367!
.12966
.99156
.14695
.98914
. 16419
.98643! 33
28
.09527
.99545
.11263
.99364
.12995
.99152
.14723
.98910
.16447
.98638 32
29
.09556
.99542
.11291
.93360
.13024
.99148
.14752
.98906
! .16476
.98633 31
30
.09585
.99540
.11320
.99357
.13053
.99144
.14781
.98902
.16505
.98629 30
31
.09614
.99537
.11349
.99354
.13031
.99141
.14810
.98897
.16533
.98624
29
32
.09642
.99534
.11378
.99351 i
.13110
.99137
.14838
.98893
.16562
.98619 28
33
.09671
.99531
.11407
.99347
.13139
.99133
.14867
.98889
i .16591
.98614! 27
34
.09700
.99528
.11436
.93344
.13163
.99129
.14896
.98884
'.16620
.98609! 26
35
.09729
.99526
.11465
.99341
.13197
.99125
.14925
.98880
.16648
.98604; 25
36
.09758
.99523
.11494
.99337
.13226
.99122
.14954
.98876
.1C677
.98600! 24
37
.09787
.99520
.11523
.99334
.13254
.99118
.14982
.98871
.16706
.98595 23
38
.09816
.99517
.11552
. 99331 j
.13283
.99114:
.15011
.98867
.16734
.98590! 22
39
.09845
.99514
.11580
.99327
.13312
.99110
.15040
.98863
.16763
.98585 21
40
.09874
.99511
.11609
.99324
.13341
.99106
.15069
.98858
.16792
.98580 20
41
.09903
.99508
.11638
.99320'
.13370
.99102
.15097
.98854
.16820
.98575
19
42
.09932
.99506
.11667
. 93317 |
.13339
.99098!
.15126
.98849 .16849
.98570 18
43
.09961
.99503
.11696
. 99314 !
.13427
.99094
.15155
.98845
.16878
.98565! 17
44
.09990
.99500
.11725
.93310!
.13456
.99091
.15184
.98841 .16906
.98561 16
45
.10019
.99497
.11754
•99307
.13485
.99087
.15212
.98836
.16935
.98656 15
46
.10048
.99494
.11783
.99303
.13514
.99083
.15241
.98832
i .16964
.98551! 14
47
.10077
.99491
.11812
.99300!
.13543
.99079
.15270
.98827 .16992
.98546
13
48
.10106
.99488
.11840
.99297!
.13572
.99075
. 15299 i. 98823 |i. 17021
.98541
12
49
.10135
.99485
.11869
.99293
.13600
.99071
.15327
.98818
1 .17050
.98536
11
50
.10164
.99482
.11898
.93290
.13629
.99067
.15356
.98814
.17078
.98531
10
51
.10192
.99479
.11927
.99286
.13658
.99063
.15385
.98809
.17107
.98526
9
52
53
.10221
.10250
.99476
.99473
.11956
.11985
.99283
.99279
.13687
.13716
.99059
.99055
.15414
.15442
.98805
.98800
.171 36 j. 98521
.17164!. 98516
8
7
54
.10279
.99470
.12014
.99276
.13744
.99051
.15471
.98796
.17193
.98511
6
55
.10308
.99467
.12043
.99272
.13773
.99047
.15500
.98791
.17222
.98506
5
56
.10337
.99464
.12071
.99269
.13802
.99043
.15529
.98787
.17250
.98501
4
57
10366
.99461
.12100
.99265
.13831
.99039
.15557
.98782
.17279
.98496
3
58
.10395
.99458
.12129
.99262
.13860
.99035
.15586
.98778
.17308
.98491
2
59
.10424
.99455
.12158
.99258
.13889
.99031
.15615
.98773
.17886
.98486
1
60
.10453
.99452
.12187
.99255
.13917
.99027
.15643
.98769
.1 7365 j. 98481
0
f
Cosin
Sine
Cosin
Sine
Cosin
Sine
Cosin
Sine
Cosin
Sine
t
84°
83°
82°
81°
80°
227
TABLE XV. -NATURAL SINES AND COSINES.
10°
11°
12°
13° || 14°
'
Sine
Cosin
Sine
Cosin
Sine ; Cosin
Sine
Cosin Sine
Cosin
'
~0
.17365
.98481
719081
.98163
720791 797815
722495
797437
.24192 .97030
60
1
.17393
.98476
.19109
. 98157
.208201.97809
. 22523
.97430
.24220
.97023 59
2
.17422
.98471
.19138
.98152
.20848 .97803
.22552
.97424
.24249
.97015 58
3
. 17451
.98466
.19167
.98146
.20877
.97797
.22580
.97417
.24277
.97008 57
4
. 17479
.98461
.19195
.98140
.20905
.97791
.22608
.97411
.24305
.970011 56
5
.17508
.98455
.19224
.98135
.20933
. 97784 ;
.22637
.97404
.24333
.96994 55
6
.17537
.98450
.19252
.98129
.20962
.97778
.22665
-97398
.24362
.96987 54
7
.17565
.98445
.19281
.98124'
.20990
.97772
.22693
.97391
.24390
.96980
53
8
.17594
.98440
.19309
.98118
.21019
.97766!
22722
.97384
.24418
.96973
52
9
.17623
.98435
.19338
.98112
.21047
.97760
.22750
.97378
.24446
.96966
51
10
.17651
.98430
.19306
.98107
.21076
.97754
.22778
.97371
.24474
.96959
50
11
.17680
.98425
.19395
.98101
.21104
.97748
.22807 .97365
.24503
.96952
49
12
.17708
.98420
.19423
.98096
.21132
.97742 .22835 .97358
.24531
.96945 48
13
. 17737
.98414
. 19452
.98C90
.21161
.97735
.22863 .97351
.24559
.96937! 47
14
. 17766
.98409
.19481
.98084
.21189
.97729
.228921.97345
.24587
.96930 46
15
.17794
.98404
.19509
.98079
.21218
.97723!
.229201.97338
.24615
.96923
45
16
17
.17823
.17852
.98399
.98394
.19538
. 19566
.98073
.98067:
.21246
.21275
.977171
.97711 !
.22948 j.97331
.22977 .97325
.24644
.24672
.96916 44
.96909 43
18
.17880
.98339
.19595
.98061
.21303
.97705
.23005
.97318
.24700
.96902 42
19
.17909
.98383
. 19623
.98056
.21331
.97698
.23033
.97311
.24728
.96894] 41
20 .17937
.98378
.19352
. 98050
.21360
.97692,
.23062
.97304
.24756
.96887 40
21 .17966
.98373
.19680
.98044
.21388
.97686
.23090
.97298
.24784
.96880
39
22
.17995
.98368
.19709
.98039
.21417
.97680
.23118
.97291
.24813
.96873 38
23
.18023
.98362
.19737
.98033
.21445
.97673
.23146
.97284
.24841
.96866 37
24
.18052
.98357
.19766
. 93027 :
.21474
.97667
.23175
.97278
.24869
.96858 36
25
.18081 .98352
.19794
.98021
.21502
.97661
.23203
.9?271
.24897
.96851
35
26
.181091.98347
.19833
.98016
.21530
.97655
.23231
.97264
.24925
.96844 34
27
.18138
.98341
.19851
.98010
.21559
.97348
.23280
.97057
.24954
.96837 33
28
.18166
.98336
.19880
.98004
.21587
.97342
.23283
.97251
.24982
.96829 32
29
.18195
.98331
.19908
97998
.21616
.97638
.23316
.97244
.25010
.96822 31
30
.18224
.98325
.19937
.97992
.21644
.97630
.23345
.97237
.25038
.96815
30
31
.182521.98320
.19965
.97987
.21672
.97623
.23373
.97230
.25066
.96807
29
32
.18281
.98315!! .19994
.97931
.21701
.97617:
.23401
.97223 .25094
.96800 28
33
.18309
.98310
.20022
.97975 .21729
.97611
.23423
.97217 .25122
.96793 27
34
.18338
.98304
.20051
.97969
.21758
.97604
.23453
.972101 .25151
.96786 26
35
.18367
.98299
.20079
97933
.21783
.97593
.23488
.97203 .25179
.96778
25
30
.18395
.93294
.20108
97958 ! .21814
.97592
.23514
.971 96 i .25207
.96771
24
37
.18424
.98238
.20136
97952 1 .21843
.97535
.23542
.97189! .25235
.967'64
23
38
.18452
.98233
.20165
97943 .21871
.97579!
.23571
.97182; .25263
.967561 22
39
.18481
.98277
.20193
97940 i .21899
.975731
.23599
.97176! .25291
.96749
21
40
.18509
.98272
.2022.2
. 97934 j
.21928
.97566!
.23627
.97169i
.25320
.96742
20
41
.18538
.98267
.20250
97933 '
.21956
.97560
.23656
.97162
.25348
.96734
19
42
.18567
.98261
.20279
97922 21985
.97553
.23684
.97155(1 .25376
.96727
18
43
.18595
.98256 i .20307
! 97916
.22013
.97547;
.23712
.97148 .25404
.96719
17
44
.18624
.98250
.20335
97910 .22041
.97541
.23740
.971411 .25432
.98712
16
45
.18652
.98245
.20364
.97905
.22070
.975341
.23769
.97134;! .25460
.96705
15
46
.18681
.98240
.20393
.97893
.22098
.97528!
.23797
.97127 ! .25488
.96697
14
47
.18710
.98234 .20421
.97893
.22126
.97521
.23825
.97120' .25516
.96690
13
48
.18738!. 98229 ij .20450
. 97887 i
.22155
.97515
.23853
.97113! .25545
.96682
12
49
.18767
.98223 .20478
.97881
.22183
.97508;
.23882
.97106!! .25573
.96675
11
50
.18795
.98218
.20507
.97875
.22212 .97502
.23910
.97100! .25601 .96667
10
51
.188241.98212!
.20535
.97869
.22240
.97496
.23938
.97093 .25629 .96660
9
52
.18852
.98207 .20563
.978631
.22268 .97489!
.23966
.97086 .25657 .96653
8
53
.18881J.98201! . 20592 i . 97857 j
.22297 .97483;
.23995
. 97079 ! .25685 .96645
7
54
.18910
.98196|
.206201.97851
.2232o .97476
.24023
.97072 ! .25713;. 96638
6
55
.18938
.98190
. 20649 . 97845 . 22353 : . 97470 !
.24051
.97065 .25741 .96630
5
56
.18967
.98185
.20677
.97839! . 22382 . 97463
.24079 .97058 .25769 .96623
4
57
.18995
.98179
.20706
. 97833 M .22410 .97457
.241081.97051 .25798 .96615
3
58
.19024
.98174
. 20734 1. 97827 .22438 .97450
.241 36j. 97(44!
.25826 .96608
2
59
.19052
.98168
.20763 .97821 .22467 .97444!
.24164 . 97037 i
.25854 .96600
1
60
.19081
.98163
.20791 .97815
.22495|. 97437
.24192
.97030 .25882 .96593
0
/
Cosin
Sine ! Cosin
Sine
Cosin 1 Sine
Cosin
Sine
Cosin Sine
-
79° II 78°
77°
76°
75°
228
TABLE XV. -NATURAL SINES AND COSINES.
15° |
16°
17°
18°
19°
; /
Sine Cosinj
Sine ; Cosin
Sine
Cosin
Sine
Cosin
Sine
Cosin
0
.25882 .96593 1
.27564 .96126
.29237
.95630!
.30902
.95106
.32557
.94552
60
1
.25910 .96585
.27592 .9(5118 .2D265
.95622. .30929
.95097
.32584
.94542
59
2
.25938 .96578 .27620 .96110
.29293
.95613! .30957
.95088
.32612
.94533 58
3
. 25966 !. 96570
.27648 .96102
.29321
.95605 .30985
.95079
.32639
.945231 57
4
.25994 .96562
.27676 .96094
.29:348
.95596 .31012
.95070
.32667
.94514 56
5
.26022 .96555
.27704 .96086
.29376
.95588 .31040
.95061
.32694
.945041 55
6
.26050 .96547
.27731 .96078
.29404
.95579 .31068
.95052
.32722
.94495
54
7
.26079 .96540
.27759! '96070
.29432
.95571
.31095
.95043
.32749
.94485
53
8
.26107 .96532
.27787 .96062
.29460
.95562
.31123
.95033
.32777
.94476
52
9
.26135 .96524
.27815 .96054
.29487
.95554
.31151
.95024
! .32804
.94466
51
10
.26163
.96517
.27843;. 96046
.29515
.95545
.31178
.95015
.32832
.94457
50
11
.26191
.96509
.27871 .96037
.29543
.95536
.31206
.95006
' .32859
.94447
49
12
.26219
.96502
.27899 .96029
.29571
.95528
.31233
.94997
.32887
.94438
48
13
.26247
.96494
. 27927 i. 96021
.29599
.95519
.31261
.94988
i .32914
.9H2S
47
14
.26275
.96486
.27955 .96013
.29626
.95511
.31289J.94979
1.32942!. 94418
46
15
.26303
.96479
.27983 j.96005
.29654
.95502
.31316!. 94970
.32969
.94409
45
1G
.26331
.96471
.280111.95997
.29682
.95493;
.31344 .94961
! .32997
.94399
44
17
.26359
.96463
.280391.95989
.29710
.95485!
.31372
.94952
i .33024
.94390
43
18
.26387
.96456
.28067
.95981
.29737
.9.5476
.31399
.94943
.33051
.94380
42
19
.26415 .96448
.28095
.95972
.29765
.85467
.31427
.94933
.33079
.94370
41
20
.26443
.96440
.28123 .95964
.29793
.95459 .31454
.94924
.33106
.94361
40
21
.26471
.96433
.28150
.95956
.29821
.95450! .31482
.94915
.33134
.94351
39
22
.26500
.96425
.28178
.95948
.29849
.95441!
.31510
.94906
.33161
.94342
38
23
.26528
.96417
.28206
.95940
.29876
.95433
.31537
.94897
.33189
.94332
37
24
.26556
.96410
.28234
.95931
.29904
.95424
.31565
.94888
.33216
.94322
36
25
.26584
.96402
.28262
.95923
.29932
.95415!
.31593
.94878
.33244
.94313
35
26
.26612
.96394
.28290
.95915
.29960
.95407
.31620
.94869
.33271
.94303
34
27
.26640
.96386
.28318
.95907
.29987
.95398
.31648
.94860
.33298
.94293
33
28
.26668
.96379
.28346
.95898
.30015
.95389
.31675
.94851
.33326
.94284
32.
29
.26696
.96371J
.28374
.95890
.30043
.95380'
.31703
.94842
.33353
.94274
31
30
.26724
.96363!
.28402
.95882
.30071
.95372
.31730
.94832
.33381
.94264
30
31
.26752
.96355
.28429
.95874
.30090
.95363
.31758
.94823
.33408
.94254
29
32
.26780
.96347
.28457
.95805
.301£G
.95354
.81780
.94814
.33436
.94245
23
33
.26808
.96340
.28485
.95857
.30154
.95345
.31813
.94805
.33463
.94235
27
34
.26836
.96332
.23513
.95849
.30182
.95337
.31841
.94795
.33490
.94225
26
35
.26864
.96324
.28541
.95841
.30209
.95323
.31868
.94786
.33518
.94215
25
36
.26892
.96316
.28509
.95832
.30237
.95319
.31896
.94777
.33545
.94206
24
37
.26920
.96308
.28597
.95824
.30265
.95310
.31923
.94768
.33573
.94196
23
38
.26948
.96301
.28625
.95816
.30292
.95301
.31951
.94758
.33600
.94186
22
39
.26976
. 98293
.28652
.95807
.30320
.95203
.31979
.94749
.33627
.94176
21
40
.27004
.96285
.28680
.95799
.30348
.95284
.32006
.94740
.33655
.94167
20
41
.27032
.9627?'
.28708
.95791
.30376
.95275
.32034
.94730
.33682
.94157
19
42
.27060
.96269
. 28736 j. 95782
.30403
.952G6
.32001
.94721
.33710
.94147
18
43
.27088
.96261
.287641.95774
.30431
.95257
.32089
.94712
.33737
.94137
17
44
.27116
.96253
.28792
.95766
.30459
.95248
.32110
.94702
.33764
.94127
16
45
.27144
.96246
.28820
.95757
.30486
.95240
.32144
.94693
.33792
.94118
15
46
.27172
.96238!
.28347
.95749
.305141.952311
.32171
.94684
.33819
.94108 14
47
.27200
.96230
.28875
.95740
.30542
.95222;
.32199
.94674
.33846
.94098
13
48
.272281.96222
.28903
.95732
.30570
.95213
.32227
.94665
.33874 .94088
12
49
.27256 |.96214
.28931 .95724
.30597
.95204
.32254
.94656
33901 .94078
11
50
.27284
.96206
.28959 .95715
.30625
.95195
.32282
.94640
.33929
.94068
10
51
.27312
.96198
.28987 .95707
.30653
.95186
.32309
.94637
.33956
.94058
9
52
.27340 .96190;
.29015 .95698
.30680
.95177:
.32337
.94627
i .33983 .94049
8
53
.27368 .96182
.29042:. 95690
.30708
.95168-
.32364
.94618
|. 34011 .94039
7
54
.27396 .96174
.290701.95681
.30736
.95159
.32392
.94609
.34038 .94029
6
55
.27424 .96166
.29098 .95673
.30763
.95150
.32-119
.94599
.34065 .94019
5
56
.27452 .96158
.291261.95664
.30791
.95142
.32447
.94590
.34093 .94009
4
57
.27480 .96150
.291 54!. 95656
.30819
.95133
.32474
.93580
.341201.93999
3
58 1.27508 .96142
.291821.95647
.30846
.95124
.32502
.94571
.34147
.93989
2
59 .27536 .96134
.29209!. 95639
.30874
.95115
.32529
.94561
.34175
.93979
1
60 .27564 .96126
.29237 .95630
.80908
.95106
.32557
.94552
.34202
.93969
0
7
Cosin i Sine j
Cosin Sine
Cosin
Sine
Cosin
Sine
Cosin
Sine
/
74*
73°
72°
71°
70°
229
TABLE XV.-NATURAL SINES AND COSINES.
20°
21°
22° I
23°
24°
Sine
Cosin
Sine , Cosin
Sine Cosin
Sine Cosin
Sine Cosin
0
.34202
^ 93969
. 35837 i. 93358
.37461
.92718
.39073
.92050
".40674 .91355
60
1
.34229
.93959
.35864 .93348
.37488 .92707
.39100 .92039
.40700 .91343
59
2
.34257
.93949
.35891
.93337
.37515 .92G97
.39127 .92028
.40727 .91331
58
3
.34284
.93939
.35918 .93327
.37542 .92686
.39153
.92016
.40753 .91319
5?
4
.34311
.93929
.35945 .93316
.37569 .92675
.39180
.92005
.40780 .91307
56
5
.34339
.93919
.35973 .93306
.37595 .92664
.39207
.91994
.40806 .91295
55
6
.313661.93909
.36000 .93295
.37622
.92653
.89234
.91982
.40833 .91283
54
7
.34393
.93899
.36027 .93285
.37649
.92642
.39260
.91971
.40860 .91272
53
8
.34421
.93889
.36054 .93274
.37676
.92631
.39287 .91959]
.40886 .91260
52
9
.34448
.93879
.360811.93264
.37703
.92620
.39314 .91948
.40913 .91248
51
10
.34475
.93869
.36108 .93253
.37730
.92609
.39341
.91936
.40939
.91236
50
11
.34503
.93859
.36135 .93243
. 37757 !. 92598
.39367
.91925
.40966
.91224
49
12
.84530
. 93849
.36162 .93232
. 37784 i. 92587
.39394
.91914
.40992
.91212
48
13
.34557
.93839
.361901.93222
.37811!. 92576
.39421
.91902
.41019
.91200
47
14
.34584
.93829
.36217
.93211
.37838 .92565
.39448:. 91 891
.41045
.91188
46
15
.34612
.93819
.36244
.93201
.37865 .92554
.394741.91879
.41072
.91176
45
16 .34639
.93809
. 36271 !. 931 90
.37892 .92543
.395011.91868
.41098
.91164
44
17 | .34666
.93799
.36298 .93180
.37919 .92532
.39528 .91856
.41125
.91152
43
18 !. 34694
.93789
.36325 .93169
.37946 .92521
.395551.91845
.41151
.91140
42
19 .34721
.93779
.36352 .93159
.37973 .92510
.39581
.91833
.41178
.91128
41
20
.34748
.93769
.36379
.93148
.37999 .92499
.39608
.91822
.41204 .91116
40
21
.34775
.93759
.36406
.93137
.38026
.92488
.39635
.91810
.41231
.91104
39
22
.34803
.93748
.36434
.93127
.38053 .92477
.39661
.91799
.41257
.91092
38
23
.34830
.93738
.36461
.93116
.38080 .92466
.39688
.91787
.41284
.91080
37
24
.34857
.93728
.36488
.93106
.38107 .92455
.39715
.91775
.41310
.91068
36
25
.34884
.93718
.36515
.93095
.38134
.92444
.39741
.91764
.41337
.91056
35
26
.34912
.93708
.36542
.93084
.38161
.92432
.39768 .91752
.41363
.91044
34
27
.34939
.93698
.36569
.93074
.381881.92421
.39795J.91741
.41390
.91032
33
28
.34966
.93688
.36596
.93063
.38215
.92410
.39822
.91729
.41416
.91020
32
29
.34993
.93677
.36623
.93052
..C8241 .92399
.39848
.91718
.41443
.91008
31
30
.35021
.93667
.36650
.93042
.38268 .92388
.39875
.91706
.41469
.90996
30
31
.35048 .9365?
.36677
.93031
.38295
.92377
.39902
.91694
.41496
.90984
29
32
.350751.93647
. 36704 i. 93020
.38322 .S23C6
.3S92S
.91683
.41522
.90972
28
33
.35102 ;.93637
.36731 .93010
.38349
.92355
.33955
.91671
.41549
.90960
27
34
.35130 .93626
.36758 .92999
.38376
.92343
.39982
.91660
.41575
.90948
26
35
.35157 .93616
.36785
.92988
.38403
.92332
.40008
.91648
.41602
.90936
25
36
.35184 .93606
.36812
.92978
.38430
.92321
.40035
.91636
.41628
.90924
24
37
.35211
.93596
.36839 '.92967
.38456
.92310
.40062
.91625
.41655
.90911
23
38
.35239 .93585
.36867 .92956
.38483
.92299
.40088
.91613
.41681
.90899
22
39
.35266 .93575
.368941.92945
.38510
.92287
.40115
.91601
.41707 .90887
21
40
.35293 .93565
.36921 .92935
.38537
.92276
.40141
.91590
.41734 .90875
20
41
.35320 '.93555
.36948 .92924
.38564
.92265
.40168
.91578
.41760
.90863
19
42
.35347 .93544
.36975 .92913
.38591
.92254
.40195
.91566
.41787
.90851
18
43
.35375 .93534
.37002 .929021
.38617
.92243
.40221
.91555
.41813 .90839
17
44
.35402 .93524
.37029 .92892'
.38(344
.92231
.40248
.91543
.41840 .90826
16
45
.35429 .93514
.37056 .92881
.38671
.92220
.40275
.91531
.41866 .90814
15
46
.35456 .93503
.37083
.92870
.38698
.02209
.40301
.91519
.41892 .90802
14
47
.35484 .93493
.37110
.92859
.38725
.92198
.40328
.91508
.41919 .90790
13
48
.35511 .93483
.37137
.92849
.38752
.92186
.40355
.91496
.41945;. 90778
12
49
.35538 .93472
.37164
.92838
.38778
.92175
.40381
.91484
.41972!. 907661 11
50
.35565 .93462
.37191
.92827
.38805
.92164
.40408 .91472
. 41998 r 90753
10
51
.35592
.93452
.37218
.92816
.38832
.92152
.40434 .91461
.42024 .90741
9
52
.35619 .93441
.37245
.92805
. 38859 j. 92141
.40461!. 91449
.42051
.90729
8
53
.35647
.93431
.37272
.92794
.38886 .92130
.40488 .91437
.42077
.90717
7
54
.35674
.93420
.37299
.92784
.38912 .92119
.40514 .91425
.42104
.90704
6
55
.35701
.93410
.37326
.92773
.389391.92107
.40541 .91414
.42130
.90692
5
56
.35728
.93400
.37353
.92762
.389661.92096
.40567 .91402
.42156
.90680
4
57
.35755
.93389
.37380
.92751
.38993!. 92085
.40594 .91390
.42183
.90668
3
58
.35782
.93379
.37407
.92740
.39020
.92073'
.40621 .91378
.42209
.90655
2
59
.35810
.93368
.37434
.92729
.39046
.92062
.40647 .91366
.42235
.90643
1
CO
.35837
.93358
.37461
.92718
.39073
.92050
.40674 '.91355
.42262
.90631
0
~
Cosin
Sine
Cosin
Sine
Cosin
Sine
Cosin Sine
Cosin
Sine
69°
68°
67°
66°
65°
230
TABLE XV.— NATURAL SINES AND COSINES.
25°
26°
27°
28°
29°
Sine |Cosin
Sine
Cosin
Sine
Cosin
Sine ' Cosin
Sine
Cosin
o
.42262 .90631
.43837
.89879
.45399
.89101
. 46947 i. 88295
.48481
.87462
60
1
.42288 .90618
.43863
.89867
.45425
.89037
. 46973 i. 88281
.48506
.87448
59
2
.42315 .90606
.43889
.89854
.45451
.89074
.46999
.88267
.48532
.87434
58
3
.42341 .90594
.43916
.89841
.45477
.89061
.47024
.88254
.48557
.87420
57
4
.42367
.90582
.43942
.89828
.45503
.89048
.47050
.88240
.485831.87406
56
5
.42394
.90569
.43968
.89816
.45529
.89035
.47076
.88226
.48608
.87391
55
6
.42420
.90557
.43994
.89803
.45554
.89021
.47101
.88213
.48634
.87377
54
7
.42446
.90545
.44020
.89790
.45580
.89008
.47127
88199
.48659
.87363
53
8
.42473
.90532
.44046
.89777
.45800
.88995
.47153
.88185
.48684
.87349
52
9
.42199
.90520
.4407'2
.89764
.45632
.88981
.47178
.88172
.48710
.87335
51
10
.42525
.90507
.44098
.89752
.45658
.88968
.47204
.88158
.48735
.87321
50
11
.42552
.90495
.44124
.89739
.45684
.88955
.47229
.88144
.48761
.87306
49
12
.42578
.90483
.44151
.89726
.45710
.88942
.47'255
.88130
.48786
.87292
48
13
.42604
.90470
.44177
.89713
.45738
.88928
.47281
.88117
.48811
.87278
47
14
.42631
.90458
.44203
.89700
.45762
.88915
.47306
.88103
.48837
.87264
46
15
.42657
.90446
.44229
.89687
.45787
.88902
.47332
.88089
.48862
.87250
45
16
.42683
.90433
.44255
.89674
.45813
.88888
.47358
.88075
.48888
.87235
44
17
.42709
.90421
.44281
.89662!
.45839
.88875
.47383
.88062
.48913
.87221
43
18
.42736
.90408
.44307
.89649
.45865
.88862
.47409
.88048
.48938
.87207
42
19
.42762
.9C396
.44333
.89636
.45891
.88848
.47434
.88034
.48964
.87193
41
20
.42788
.90333
.44359
.89623
.45917
.88835
.47460
.88020
.48989
.87178
40
21
.42815
.90371
.44385
.89610
.45942
.88822
47486
.88006
.49014
.87164
39
22
.42841
.90338
.44411
.89597
.45968
.88808
.475111.87993
.49040
.87150
38
23
.42867
.90346
.44437
.89584
.45994
.83795
.47537
.87979
.49065
.87136
37
24
.42894
.903U
.44461
.89571
.46020
.88782
.47562
.87965
.49090
.87121
36
23
.42920
.90321
.44490
.80558!
.46046
.88768
.47588
.87951
.49116
.87107
35
26
.42946
.90309
.44516
.89545
.46072
.88755
.47614
.87937
.49141
.87093
34
27
.42972
.90206
.44542
.89532
.46097
.88741
.47639
.87923
.49166
.87079
33
28
.42999
.90284
.44568
.89519
.46123
.88728
.47665
.87909
.49192
.87064
32
29
.43025
.9^271
.44594
.80506
.46149
.88715
.47690
.87896
.49217
.87050
31
30
.43051
.90259
.44620
.89493
.46175
.88701
.47716
.87882
.49242
.87036
30
31
.43077
.90246
.44646
.89480
.46201
.88688
.47741
.87868
.49268
.87021
29
32
.43104
.90233
.44672
.83467
.46226
.88674
.47767
.87854
.49293
.87007
28
33
.43130
.90221
.44698
.89454
.46252
.88661
.47793
.87840
.49318
.86993
27
34
.43158
.90203
.44724
.89441
.46278
.88647
.47818
.87826
.49344
.86978
28
35
.43182
.90196
.44750
.89428
.46304
.88634
.47344
.87812
.49369
.86964
25
36
.43209
.90183
.44776
.89415
.46330
.88620
.47869
.87798
.49394
.86949
24
37
.43235
.90171
.44802
.89402
.46355
.88607
.47895
.87784
.49419
.86935
23
38
.43261
.90153
.44828
.89389
.46381
.88593
.47020
.87770
.49445
.86921
22
39
.43287
.90146
.44854
.80376
.46407
.88580
.47946
.87756
.49470
.86906
21
40
.43313
.90133
.44880
.89363
.46433
.88566
.47971
.87743
.49495
.86892
20
41
.43340
.90120
.44906
.89350
.46458
.88553
.47997
.87729
.49521
.86878
19
42
.43366
.90108
.44932
.80337
.46484
.88539
.48022
.87715
.49546
.86863
18
43
.43392
.90095
.44958
.80324
.46510
.88526
.48048
.87701
.49571
.86849
17
44
.43418
.90082
.44984
.89311
.46536
.88512
.48073
.87687
.49596
.86834
16
45
.43445
.90070
.45010
.89298
.46561
.88499
.48099
.87673
.49622
.86820
15
46
.43471
.90057
.45036
.89285
.46587
.88485
.48124
.87659
.49647
.86805
14
47
.43497
.90045
.45062
.89272
.46613
.88472
.48150
.87645
.49672
.86791
13
48
.43523
.90032
.45088
.89259
.46639
.88458
.48175
.87631
.49697
.86777
12
49
.43549
.90019
.45114
.89245
.46664
.88445
.48201
.87617
.49723
.86762
11
50
.43575
.90007
.45140
.89232
.46690
.88431
.48226
.87603
.49748
.86748
10
51
.43602
.89994
.45166
.89219
.46716
.88417
.48252
.87589
.49773
.86733
9
52
.43628
.89981
.45192
.89206
.46742
.88404
.48277
.87575
.49798
.86719
8
53
.43654
.89968
.45218
.89193
.46767
.88390
.48303
.87561
.49824
.86704
7
54
.43680
.89956
.45243
.89180
.46793
.88377
.4&S28
.87546
.49849
.86690
6
55
.43708
.89943
.45269
.89167
.46819
.88363
.48354
.87532
.49874
.86675
5
56
.437&S
.89930
.45295
.89153
.46844
.88349
.48379
.87518
.49899
.86661
4
57
.43759
.89918
.45321
.89140
.46870
.88336
.48405
.87504
.49924
.86646
3
58
.43785
.89905
.45347
.89127
.46896
.88322
.48430
.87490
.49950
.86632
2
59
.43811
.89892
.45373
.89114
.46921
.88308
.48456
.87476
.49975
.86617
1
60
.43837
.89879
.45399
.89101
.46947
.88295
.48481
.87462
.50000
.86603
_0
/
Cosin
Sine
Cosin
Sine
Cosin
Sine
i Cosin
Sine
Cosin
Sine
/
64°
63°
62°
61°
60°
231
TABLE XV.— NATURAL SINES AND COSINES.
30°
31°
32° |
33°
34°
Sine
Cosin
Sine
Cosin
Sine
Cosin
Sine ! Cosin
Sine Cosin
~o
.50000
.86603
751504
785717
752992 : .84805
754464 783867
.55919
.82904
60
l
.50025
.86588
.51529
.857'02
.53017
.84789
.54488!. 83861
.55943
82887
59
2
.50050
.86573
.51554
.85687
.53041
.84774 .54513 .83835
.55968
.82871
58
3
.50076
.86559
.51579
.85672
.53066 .84759
.54537 .83819
.55992
.82855
57
4
.50101
.86544
.51604
.85657
.530911.84743
. 5450 l|. 83804
.56016
.82839
56
5
.50126
.86530
.51628
.85642
.531 15 !. 84728
.54586 .83788
.56040
.82822
55
6
.50151
.86515
.51653
.85627
.531401.84712
.54610i.83772
.56064
.82806
54
7
.50176
.86501
.51678
.85612
.53164
.84697
.546351.83756
.56088
.827'90
53
8
.50201
.86486
.51703
.85597
.53189
.84681
.54659 .83740
.56112
.82773
52
9
.50227
.86471
.51728
.85582;
.53214
.84666
.54683 .83724
.56136
.82757
51
10
.50252
.86457
.51753
.85567
.53238
.84650
.54708
.837o8
.56160
.82741
50
11
.50277
.86442
.51778
.85551
.53263
.84635*
.54732
.83692
.56184
.82724
49
12
.50302
.86427
.51803
.85536
.53288
.84619
.54756
.83676
.56208
.82708
48
13
.50327
.86413
.51823
.85521
.53312
.84604
.54781
.83660
.56232
.82092
47
14
.50352
.86398
.51852
.85506
.53337
.84588
.54805
.83645
.56256
.82075
46
15
.50377
.86384
.51877
.85491
.53361
.84573
.548291.83629
.50280
.82059
45
1G
.50403
.86369
.51902
.85476
.53386
.84557
.54854 1.83613
.56305
.82043
44
17
.50428
.86354
.51927
.85461
.53411
.84542
.54878 .83597
! .56329
.82020
43
18
.50453
.86340
.51952
.85446
.53435
.84526
.54902 .83581
.56353
.82610
42
19
.50478
.86325
.51977
.85431
.53460
.84511
.M927 1.83565
.56377
.82593
41
20
.50503
.86310
.52002
.85416
.53484
.84495
.54951
.83549
.56401
.82577
40
21
.50528
.86295
.52026
.85401
.53509
.84480
.54975
.83533'
.56425
.82561
39
22
.50553
.86281
.52051
.85385
.53534
.84464!
.54999
.83517
.56449
.82544
33
23
.50578
.86206
.52076
.85370
.53558
.84448
.55024
.83501
.56473
.82528
37
24
.50603
.86251
.52101
.85355
.53583
. 84433 :
.55048
.83485
.56497
.82511
36
25
.50628
.86237
.52126
.85340
.53607
.84417
.55072
.83469
.56521
.82495
35
26
.50654
.86222
.52151
.85325
.53632
.84402
.55097
.83453
.56545
.82478
34
.50679
.86207
.52175
.85310,
.53656
.84386
.55121
.83437
.56569
.82402
33
28
.50704
.86192
.52200
.85294
.53681
.84370
.55145
.83421
.56593
.82440
32
29
.50729
.86178
.52225
.85279
.53705
.84355
.55169
.83405
.50617
.82429
31
30
.50754
.86163
.52250
.85204
.53730
.84339
.55194
.83389
.56041
.82413
30
31
.50779
.86148
.52275
. 85249 '
.53754
. 84324 !
.55218
.83373
.56665
.82396
29
32
.50804
.86133
.52299
.85234
.53779
.84303
.55242
.83856
.66689
.82380
28
33
.50829
.86119
.52324
.85218
.53804
.84292
.C52G6
.83340
.50713
.82303
27
34
.50854
.86104
.52349
.85203
.53828
.84277,
.55291
.83324
.56736
.82347
26
35
.50879
.86089
.52,374
.85188
.53853
.84261 1
.55315
.8:3308
.56760
.82330
25
36
.50904
.86074
.52399
.85173
.53877
.84245
.55339
.83292
.56784
.82314
24
37
.50929
.86059
.52423
.85157
.53902
.84230
.55363
.83276
.50808
.82297
23
38
.50954
.86045
.52448
.85142
.53926
.84214
.55388
.83260
.50832
.82281 1 22
39
.50979
.86030
.52473
.85127
.53951
.84198
.55412
.83244
.50856
.82264
21
40
.51004
.86015
.52498
.85112
.53975
.84182
.55436
.83228
.50880
.82248
20
41
.51029
.86000
.52522
.85090
.54000
.84167
.55460
.83212
.56904
.82231
19
42
.51054
.85985
.52547
.85081
.54024
.84151
.55484
.83195
.56928
.82214
13
43
.51079
.85970
.52572
. 85033 i
.54049
.84135
.55509
.83179
.50952
.82198
17
44
.51104
.85956
.52597
.85051 1
.54073
.84120
.5o533 1.83163
.50976 .82181
16
45
.51129
.85941
.52621
.85035!
.54097
.84104
.55557
.83147
.57000 .82165
15
46
.51154
.85926
.52646
.85020:
.54122
.84088
.55581
.83131
.57024
.82148
14
47
.51179
.85911
.53671
.85005
.54146
.84072
.55605
.83115' .57047
! 82 132
13
48
.51204
.85896
.52696
.84989
.54171
.84057
.55630
.R3i)9S .57071
.82115
12
49
.51229
.85881
.52?'20
.8497'4
.54195
.84041
.55654
.83082 J .57095
.82098
11
50
.51254
.85866
.52745
.84959
.54220
.84025
.55678
.83066 .57119
.82082
10
51
.51279
.85851
.52770
.84943
.54244
.84009
.55702
.&3050
.57143
.82065
9
52
.51304
.85,836
.52794
.84928
.542691.83994
.55726
.83034
.57167
.82048
8
53
.51329
.85821
.52819
.84913
.54293J.83978
.55750
.83017
.57191
.82032
7
54
.51354
.85806
.52844
.84897
.54317
.83962
.55775
.83001
.57215
.82015
6
55
.51379
.85792
.52869
.84882
.54342
.83946
.55799
.82985
.57238
.81999
5
56
.51404
.85777
.52893
.84866!
.54366
.83930
.55823
.82969
.57262
.81982
4
57
.51429
.85762
.52918
.84851 |
.54391
.83915
.55847
.82953
.57286
.81 965
3
58
.51454
.85747
.52943
.84836:
.54415
.83899
.55871
.82936
.57310
.81949
2
59
.51479
.85732
.52967
.84820
.544401.83883 .55895
.82920 .57334
.81932
i
60
.51504
.85717
.52992
.84805
.54464 .83867H .55919
.82904; .57358
.81915! 0
/
Cosin
~Sine^
Cosin
Sine"
Cosin j "Sine"
Cosin
Sine
Cosin Sii>e
t
59°
58°
57°
56°
55°
232
TABLE XV.— NATURAL SINES AND COSINES.
35°
36°
37°
38°
39°
'
Sine Cosin
Sine Cosin
Sine Cosin
Sine
Cosin
Sine | Cosin
~~0 ! 757358 781915
758779 780902 !
T60182
.79864
761566
778801
762932
.77715
60
1 ! .573H1|.81899
.58802
.80885
.60205
.79846
.61589
.78783
.62955
.77690
59
2 ! .574051.81882
.58826
.80867
.60228 .79829;
.61612
.78765
.62977
.77678
58
3 : .57429 .81865;
.58849
.80850!
.602511. 7981 li
.61635
.78747
.63000
.77'660
57
4 i .57458
.81848!
.58873
.80833;
.60274!. 79793 i
.61658
.78729
.63022
.77641
56
5 ! .57477
.81832:
.58896
.80816
. 60298 L 79776
.61681
.78711
.63045
.77623
55
6 : .57501
.81815
.58920
.80799
.60321 .79758'
.61704
.78694
.63068
.77605
54
7 I .57524
.81798
.58943
.80782
.60344
.797411
.61726
.78676!
.63090
.77586
53
8 i .57548
.81782
.58967
.80765
.60367
.79723
.61749
.78658
.63113
.77568
52
9 .57572
.81765
.58990
.80748
.60390
.79706
.61772
.78640
.63135
.77550
51
10 j .57596
.81748
.59014
.80730
.60414
.79688
.61795
.78622
.63158
.77531
50
11 .57619
.81731
.59037
.80713
.60437
.79671
.61818
.78604
.63180
.77513
40
12 i .57643
.81714
.59061
.80696
.60460
.79653
.61841
.78586
.63203
.77494
48
13 .57667
.81698
.59084
.80679
.60483
.79635
.ۥ1864 .78568
.63225
.77476
47
14
.57691
.81681
.59108
.80662
.60506
.79618
.61887
.78550
.63248
.77458
46
15
.57715
.81664
.59131
.80644!
.60529
.79600
.61909
.78532!
.63271
.77439
45
16
.57738
.81647
.59154
.80627
.60553
.79583
.61932
.78514!
.63293
.77421
44
17
.57762
.81631
.59178
.80610
.60576
.79565
.619551.78496!
.63316
.77402 43
18
.57786
.81614
.59201
.80593
.60599
.79547
.61978 .78478!
.63338
.77384 42
19
.57810
.81597
.59225
. 80576 j
.60622
.79520
.62001
.7'8460;
.63361
.77366
41
20
.57833
.81580
.59248
.80558
.60645
.79512
.62024
.78442
.63383
.77347
40
21
.57857
.81563
.59272
.80541
.60668
.79494
.62046
.78424
.63406
.77329
39
22
.57881
.81546
.59205
.80524:
.60691
.79477
.62069
.784051
.63428
.77310 38
23
.57904
.81530
.59318
.80507
.60714
.79459
.62092 .78387!
.63451
.77292 37
24
.57928
.81513
.59342
.80489
.60738
.79441
.62115 L78369J
.63473
.77273
36
25
.57952
.81496
.59365
.80472
.60761
.79424
.621381.783511
.63496
.77255 35
26
.57976
.81479
.59389
.80455
.60784
.79406' .621601.78333!
.63518
.77236 34
27
.57999
.81462
.59412
.80438!
.60807
.79388
.62183!. 78315!
.63540
.77218 33
28
.58023
.81445
.59436
.80420!
.60830
.79371
.62206!. 78297
.63563
.77199
32
29
.58047
.81428
.594591.80403
60853
.79353
.622291.78279
.63585
.77181) 31
30
.58070
.81412
.59482
.80386J
.60876
.79335
.62251
.78261
.63608
.77162
30
31
.58094
.81395
.59506
.80368
.60899
.79318
.62274
.78243
.63630
.77144
29
32 1 .58118
.81378
.59529 .80351
.60922
.79300
.62297
.78225
.63653
.77125
28
33
.58141
.81361
.59552 .80334
.60945
.79282
.62320 .78206
.63675
.77107
27
34
.58165
.81344:
.59576 .80316!
.6C968
.79264
.623421.78188
.63698
.77088 26
35
36
.58189 .81327
.58212 .81810
.59599
.59622
.80299
.80282
.€0991
.61015
.79247
.79229
.62365 .78170
.62388 .78152
.63720
.63742
.77070! 25
.77051124
37 .58236J.81293
.59646
.80264
.61038
.79211
.62411
.78134!
.63765!. 770331 23
38 .58260
.81276 .59669
.80247
.61061
.79193
.62433
.78116
.63787
.7701 4 l 22
39 .58283
.81259!
.59693
.802301
.61084
.79176
.62456
.780981
.63810
.76996! 21
40 .58307
.81242
.59716
.80212
.61107
.791C8
.62479
. 78079 i
.63832
.76977
20
41 .58330
.81225
.59739 .80195
.61130
.79140
.62502
. 78061 •
.63854
.76959
19
42
.58354 .81208
.59763 .80178
.61153
.79122
.62524
.78043!
.63877
.76940! 18
43
.58378 .81191
.59786 .80160
.61176
.79105
.62547
.78025
.63899
.76921! 17
44
.58401 .81174
.59809 .80143
.61199
.79087
.62570
.78007
.63922
.769031 16
45 i .58425 .81157
.59832 .80125
.61222
.79069
.62592
.77988
.63944
.76884 15
46 1 .58449 .81140
.59856
.80108
.61245
.79051
.62615 .77970
.63966
.76866! 14
47
.58472 81123
.59879
.80091
.61268
.79033
.62638 .77'952!
.63989
.76847
13
48
.58496
.81106
.59902
.80073
.61291 .79016
.62660
.77934
.640111.76828
12
49
.58519
.81089
.59926
.80056
.81814 .78006
.62683
.77916
.64033
.T6810
11
50
.58543
.81072
.59949
.80038
.61337
.78980
.62706
.77897
.64056
.76791
10
51
.58567
.81055
.59972
.80021
.61360
.78962
.62728
.77879
.64078
.76772
9
52
.58590
.81038
.59995
80003:
.61383
.78944
.62751
.778611
.64100
.76754
8
53
.58614
.81021
.60019
.79986;
.61406
.78926
.62774
.77843
.64123
.76735
ft
54
.58637
.81004
.60042
.79968
.61429
.78908
.62796
.77824
.64145
.76717
6
55
.58661
.80987
.60065
.79951;
.61451
.78891
.62819
.77806
.64167
.76698
5
56
.58(584
.H(M)7'()
.60089
.79934;
.61474
.78873
.62842
.77788
.64190
.76679
4
57
.58708
.80953
.60112
.79916,
.61497
.78855
.62864
.77769
.64212
.766611 3
58
.58731
.80936
.60135
.79899
.61520
.78837
.62887
.77751
.64234
.76642; 2
59
.58755
.80919
.601581.79881
.61543
.78819
.62909
.77733
.64256
.76623 1
60
.58779
.80902
.60182
.79864
.61566
.78801
. 62932
.77715
.64279
.76604 0
|
Cosin
Sine"
Cosin Sine
Cosin j Sine
Cosin Sine
Cosin
Sine
/
54°
53°
52°
51'
50°
233
TABLE XV.— NATURAL SINES AND COSINES.
40°
41°
42°
43*
44J
Sine ICosin
Sine
Cosin
Sine
1 Cosin
Sine ! Cosin
Sine Cosin
0
.64279
.76604
.65606
.75471
.00913
.74314
.68200 .73135
769466 .71934 60
1
.64301
.76586
.65628
.75452
.60935
.74295
.68221
.73116
.69487 .71914 59
2
.64323
.76567
.65650
.75433
.60956
.74276
.68242
.73090
.69508 .71894 58
3
.61316
.70548
.65672
.75414
.60978
.74256
.68204
.730?'6
. 69529 !. 71873: 57
4
.04368
.76530j
.65694
.75395
.00399
.74237
.68285
.73056
.69549 .71853 56
5
.64390
.76511
.65716
.75375
.67021
.74217
.68306
.73036
.69570 .71833 55
6
.64412
.76402
.65738
.75356
.67043
.74198
.68327
.73016
.69591 .718131 54
7
.64435
.76473
.65759
.75337
.67064
.74178
.68349
.72996
.69012 .71792 53
8
.64457
.76455
.65781
.75318
.67083 .74159
.68370
.72976
.696331.71772 52
9
.64479
.78438
.65803
. 75299
. 67107 !. 74139
.68391
72957
. 69654 !. 71 752! 51
10
.64501
.76417
.65825
.75280
.67129
.74120
.68412
! 72937 j
.69675
.71732
50
11
.64524
.76398
.65847
.75281
.67151
.74100
.68434
.72917
.69696
.71711
49
IS
.64546 .76330
.65363
.75241
.67172
.74080
.68455
.72897
.68717 .71 691 i 48
13
.64568 .76331
.65891
.75222
.67194
.74001
.68476
.72877
.69737 .71671 47
14
.64590 76342
.65913
.75203
.67215
.74041
.68497
.72857
. 69758 i. 71 650 46
15
.64612 .76323
.65935
.75184
.67237
.74022
.68518
.72837
.69779 .71630! 45
16
.64635 .76304
.65956
.75165
.67258
.74002
.68539
.72817
.69800
.716101 44
17
.64857 .76236
.65978
.75146
.67280
.73983
.68561
.72797
.69821
.71590
43
18
.646791.76207
.66000
.75128
.67301
.73963
.68582
.72777
.69842
.71569
42
19
.64701
.76248
.65022
.75107!
.67323
.73944
.68603
.72757
.698621.71549
41
20
.64723
.76229
.66044
. 75088 !
.67344
.73924
.68624
.72737
.69883
.71529
40
21
.64746
.76210
.66066
. 75039 !
.67386
.73904
.68645
.72717
.69904
.71508
39
22
.64768
.7611)2
.63333
75350
.67087
.73885
.68006
.72697
.69325
.71488
38
23
.64790
.761731
.68103
75330
.67409
.7'3835
.63G88
.72677
.69946
.71468
37
24
.64812 .761541
.66131
75011 i
.67430
.73848
.637'09
.7'2G57
.69968
.71447
36
25
.64834 . 78135 |
.66153
74332 |
.67452
.73823
.68730
.72637
.69987
.71427
35
26
.64856 1.761 16 !
.63175
74373 !
.67473
.73803
.63751
.72617!
.70008
.71407
34
27
.64878 .76037!
.65197
74353
.67435
.73787
.68772
.72597;
.70029
.71386
33
28
.64901
.76078
.63218
74334
.67516
.73767
.68793
. 72577 '
.70049
.71306
32
29
.64923
.76059!
.68240
74915
.67533
.73747
.63814
.72557
.70070
.71345
31
30
.64945
.76041!
.68282
74896
.67559
.73728
.68835
.72537;
.7'0091
.71325
30
31
.61967
.76022!
.68284
74876 '
.67580
.73703
.68857
.72517
.70112
.71305
29
32
.64989
.76003'
.66308
74857!
.67632
.73383
.63878
. 72497 :
70132
.71284
28
33
.65011
.75934;
.66327
74838
.67023
.73633
.63899
.72-477!
.70153
.71264
27
34
.65033
.75985;
.66349
74818 !
.67645
.73649
.68920
.72457
.70174
.71243
26
35
.65055|.75946
: 66371
74799 !
.67666
.73623
.68341
.72437
.70195
.71223
35
36
.65077
.75927
.66393
74780 !
.67688
.73610
.68982
.724171
.70215
.71203
24
37
.65100
.759:38
.6641 4 1. 74760 !
.67709
.73590
.68983
.72397
.70236
.71182
23
38
.651221.75889
.66438
.74741
.67730
7357'0
.69004
.72377
.70257
.71162
22
39
.65144
.75870
.68458
.74722;
.67752
.73551
.69025
.72357
.70277
.71141
21
40
.65166
.75851,
.66480
.74703
.67773
.73531
.69046
.72337
.70238
.71121
20
41
.65188
.75832
.66501
.74683
.67795
.73511
.69067
.72317
.70319
.71100
19
42
.65210
.75813
.68523
.74664!
.67816
.73491
.63088
.72297
.70339
.71080
18
43
.65232
.75794
.68545
. 74844
.67837
.73472
.09109
.72277
.70360
.71059
17
44
.65254
.75775:
.66566
.74325,
.67859
.73452
.69130
. 72257
.70381
.71039 16
45
.65276
.75756
.66588
.74603
.67880
.73432
.09151
.72236
.70401
.71019 15
46
.65298 .75738:
.66610
.74586
.67901
.73413
69172
722:6
.70422 .70998 14
47
.65320 .75719
.66832
.74567'
.67923
.73393
.69193
.72196
.70443
.70978! 13
48
.65342 .75700
.66653
.74548
.67944
.73373
.69214
.72176
.70403
.70957! 12
49 1.65364 .75680
.66675
.74528
.67965
.73353
.69235
.72156 .70484
.70937
11
50
.65386
.75661
.66697
.74509 .67987
.73333
.69256
.72136
.70505
.70916
10
51
.65408
.75642
.66718
.74489 .68008
.73314
.69277
.72116
.70525
.70896
9
52 1.65430 .75623
.66740 .74470 .68029
.73234
.69298
.72095
.70540 .70375
8
53
.65452 .75604
.66762:.74451 .68051
.73274
.69319
.72075 .70567 1.70855
7
54
.65474 .75585:
.66783 .74431 .68072
.73254
.69,340
. 72055 i
.70587 .70834
6
55
.65496 '75566!
.66805 .74412 .68093
.73234
.69361
.72035!
.70008 .70813
5
56
.655181.75547
.66827 .74392 1 .68115
.73215
.69382
.72015
.70628 .70793
4
57
.65540
.75528
.66848 .74373 1 .68136
.73195
.69403
.71995
.70649 .70772
3
58
.65562
.75509
.668701.74358
.68157
.73175
.69424
.711,74
.70070 .70752
2
59
.65584
.75490
.66891 .74334
.68179
.73155
.69445
.71954
.70690 .70731
1
60
.65606
.75471
.00913 .74314!
.68200
.73135
.69466
.71934
.70711
.70711
0
/
Cosin
Sine
Cosin Sine | Cosin
.
Sine
Cosin
Sine
Cosin | Sine
/
49°
48° il -47°
46°
45°
234
TABLE XVI. —NATURAL TANGENTS AND COTANGENTS.
0°
1°
2°
3°
**"
Tang
Cotang
Tang
Cotang
Tang
Cotang
! Tang | Cotang
/
0
.00000
In Unite.
.01746
57.2900
.03492
28.6363
.05241
19.0811 |60
1
.00029
3437.75
.01775
56.3506
.03521
28.3994
.05270
18.9755
59
2
.00058
1718.87
.01804
55.4415
.03550
28.1664
.05299
18.8711
58
3
.00087
1145.92
.01833
54.5(313
.03579
27.9372
.05328
18.7678
57
4
.00116
859.436
.01862
53.7086
.03609
27.7117
.05357
18.6656
56
5
.00145
687.549
.01891
52.8821
.03638
27.4899
.05387
18.5645
55
6
.00175
572.957
.01920
52.0807
.03667
27.2715
.05416
18.4645
54
7
.00204
491.106
.01949
51.3032
.03696
27.0566
.05445
18.3655
53
8
.00233
429.718
.01978
50.5485
.03725
26.8450
.05474
18.2677
52
9
,00262
381.971
.02007
49.8157
.03754
26.6367
.05503
18.1708
51
10
.00291
343.774
.02036
49.1039
.03783
26.4316
.05533
18.0750
50
11
.00320
312.521
.02066
48.4121
.03812
26.2296
.05562
17.9802
49
12
.00349
286.478
.02095
47.7395
.03842
26.0307
.05591
17.8863
48
13
.00378
264.441
.02124
47.0853
.03871
25.8348
.05620
17.7934
47
14
.00407
245.552
.02153
46.4489
.03900
25.6418
.05649
17.7015
46
15
.00436
229.182
.02182
45.8294
.03929
25.4517
.05678
17.6106
45
16
.00465
214.858
.02211
45.2261
.03958
25.2644
.05708
17.5205
44
17
.00495
202.219
.02240
44.6386
.03987
25.0798
.05737
17.4314
43
18
.00524
190.984
.02269
44.0661
.04016
24.8978
.05766
17.3432
42
19
.00553
180.932
.02298
43.5081
.04046
24.7185
.05795
17.2558
41
20
.00582
171.885
.02328
42.9641
.04075
24.5418
.05824
17.1693
40
21
.00611
163.700
.02357
42.4335
.04104
24.3675
.05854
17.0837
39
22
.00640
156.259
.02386
41.9158
.04133
24.1957
.05883
16.9990
38
23
.00669
149.465
.02415
41.4106
.04162
24.0263
.05912
16.9150
37
21
.00698
143.237
.02444
40.9174
.04191
23.8593
.05941
16.8319
36
25
.00727
137.507
.02473
40.4358
.04220
23.6945
.05970
16.7496
35
2(5
.00756
132.219
,02502
39.9655
.04250
23.5321
.05999
16.6681
34
27
.00785
127.321
.02531
39.5059
.04279
23.3718
.06029
16.5874
33
28
.00815
122.774
.02560
39.0508
.04308
23.2137
.06058
16.5075
32
29
.00844
118.540
.02589
38.6177
.04337
23.0577
.06087
16.4283
31
30
.00873
114.589
.02619
38.1885
.04366
22.9038
.06116
16.3499
30
31
.00902
110.892
.02648
37.7686
.04395
22.7519
.06145
16.2722
29
32
.00931
107.426
.02677
37.3579
.04424
22.6020
.06175
16.1952
28
33
.00960
104.171
.02706
36.9560
.04454
22.4541
.06204
16.1190
27
34
.00989
101.107
.02735
36.5627
.04483
22.3081
.06233
16.0435
26
35
.01018
98.2179
.02704
3G.1776
.04512
22.1640
.06262
15.9687
25
86
.01047
95.4895
.02793
35.8006
.04541
22.0217*
.06291
15.8945
24
37
.01076
92.9085
.02822
35.4313
.04570
21.8813
.06321
15.8211
23
38
.01105
90.4633
.02851
35.0695
.04599
21.7426
.06350
15.7483
22
:-;i)
.01135
88.1436
.02881
34.7151
.04628
21.6056
.06379
15.6762
21
40
.01164
85.9398
.02910
34.3678
.04658
21.4704
.0&408
15.6048
20
41
.01193
83.8435
.02939
34.0273
.04687
21.3369
.06437
15.5340
19
42
.01222
81.8470
.02968
33.6935
.04716
21.2049
.06467
15.4638
18
43
.01251
79.9434
.02997
33.3662
.04745
21.0747
.06496
15.3943
17
44
.01280
78.1263
.03026
33.0452
.04774
20 9460
.06525
15.3254
16
45
.01309
76.3900
.03055
32.7303
.04803
20.8188
.06554
15.2571
15
46
.C1338
74.7292
.03084
32.4213
.04833
20.6932
.06584
15.1893
14
47
.01367
73.1390
.03114
32.1181
.04862
20.5691
.06613
15.1222
13
48
.01396
71.6151
.03143
31.8205
.04891
20.4465
.06642
15.0557
12
4')
.01425
70.1533
.03172
31.5284
.04920
20.3253
.06671
14.9898
11
50
.01455
68.7501
.03201
31.2416
.04949
20.2056
.06700
14.9244
10
51
.01484
67.4019
.03230
30.9599
.04978
20.0872
.06730
14.8596
9
52
.01513
66.1055
.03259
30. 6833
.05»7
19.9702
.06759
14.7954
8
53
.01542
64.8580
.03288
30.4116
.05037
19.8546
.06788
14.7317
7
54
.01571
63.6567
.03317
30.1446
.05066
19.7403
.06817
14.6685
6
55
.01600
62.4992
.03346
29.8823
.05095
19.6273
.06847
14.6059
5
50
.01629
61.3829
.0:3376
29.6245
.05124
19.5156
.06876
14.5438
4
57
.01658
60.3058
.03405
29.3711
.05153
19.4051
.06905
14.4823
3
58
.01687
59.2659
.03434
29.1220
.05182
19.2959
.06934
14.4212
2
59
.01716
58.2612
.03463
28.8771
.05212
19.1879
.06963
14.3607
1
60
.01746
57.2900
.03492
28.6363
.05241
19.0811
.06993
14.3007
0
f
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang | Tang
t
89°
88°
87°
86°
235
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
i
1°
5°
(
5°
i
r°
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
/
0
.06993
14.3007
.08749
11.4301
I .10510
9.51436
.12278
8.14435
(50
1
.07022
14.2411
.08778
11.3919
.10540
9.487'81
.12308
8.12481
59
2
.07051
14.1821
.08807
11.3540
i .10569
9.46141
.12338
8.10530
68
3
.07080
14.1235
.08837
11.3163
. 10599
9.43515
.12307
8.08600
57
4
.07110
14.0655
.08866
11.2789
.10628
9.40904
.12397
8.06074
56
5
.07139
14.0079
.08895
11.2417
.10657
9.38307
.12426
8.04756
55
0
.07168
13.9507
.08925
11.2048
.10687
9.35724
.124E6
8.02848
54
7
.07197
13.8940
.08954
11.1681
.10716
9.33155
.12485
8.00948
53
8
.07227
13.8378
.08983
11.1316
.10746
9.30599
.12515
7.99058
52
g
.07256
13.7821
.09013
11.0954
.10775
9.28058
12544
7.97176
51
10
.07'285
13.7267
.09042
11.0594
.10805
9.25530
! 12574
7.95302
50
11
.07314
13.6719
.09071
11.0237
.10834
9.23016
.12603
7.93438
40
12
.07344
13.6174
.09101
10.9882
.10SC3
9.2C516
.1CGS3
7.91C82
4*
13
.07373
13.5634
.09130
10.9529
.10893
9.18028
.12GG2
7.89734
47
14
.07402
13.5098
.09159
10.9178
.10922
9.15554
.120C2
7.87895
40
15
.07431
13.4566
.09189
10.8829
1CG52
9.13093
.12722
7.86064
45
1C
.07461
13.4039
.09218
10.8483
!lC981
9.1C646
.12751
7.84242
44
17
.07490
13.3515
.09247
10.8139
.11C11
9.08211
.12781
7.82428
43
18
.07519
13.2996
.09277
10.7797
.11010
9.05789
.12810
7.80022
42
1!)
.07548
13.2480
.09306
10.7457
.11C70
9.03379
.12840
7.78825
41
20
.07578
13.1969
.09335
10.7119
.11099
9.C0983
.12869
7.77035
40
21
.07607
13.1461
.09365
10.6783
.11128
8.S8598
.12899
7 . 75254
39
22
.07636
13.0958
.09394
10.6450
.inns
8.902*7
.12929
7.7'8480
88
23
.07665
13.0458
.09423
10.6118
.11187
8. £3867
.12958
7.71715
37
24
.07695
12.9962
.09453
10.5789
.11217
8.91520
.12988
7.C9957
30
25
.07724
12.9469
.09482
10.5462
.11246
8.89165
.13017
7.68208
85
20
.07753
12.8981
.C9511
10.5136
.11276
8.868C2
.13047
7.66466
84
27
.07782
12.8496
.C9541
10.4813
.11205
8.84551
.13076
7.64732
S3
28
.07812
2.8014
.09570
10.4491
.11S35
8.82252
.13106
7.63005
29
.07841
2.7536
.09600
10.4172
.11804
8.79964
.13126
7.61287
31
30
.07870
2.7062
.09629
10.3854
.11394
8.77689
.13165
7.59575
30
31
.07899
2.6591
.09658
10.3538
.11423
8.75425
.13105
7.57872
20
32
.07929
2.6124
.09668
10.3224
.11452
8.73172
.13224
7.50176
28
33
.07958
2.5660
.09717
10.2913
.11482
8.70931
.12254
7.54487
27
34
.07987
12.5199
.09746
10.2602
.11511
8.68701
.13284
7.52806
26
35
.08017
12.4742
.09776
10.2294
.11541
8.66482
.13313
7.51132
25
36
.08046
12.4288
.09805
10.1988
.11570
8.6427'5
.13343
7.49465
24
37
.08075
12.3838
.09834
10.1683
.11600
8.62078
.13372
7.47806
23
38
.08104
12.3390
.09864
10.1381
.11629
8.59893
.13402
7.40154
22
89
.08134
12.2946
.09893
10.1C80
.11659
8.57718
.13422
7.44509
21
40
.08163
12.2505
.09923
10.0780
.11688
8.55555
.13461
7.42871
20
41
.08192
12.2067
.09952
10.0483
.11718
f 53402
.13491
7.41240
10
42
.08221
12.1032
.09981
10.0187
.11747
8.51259
.13521
7.39616
18
43
.08251
12.1201
.icon
9.98931
.11777
8.49128
.13550
7.37999
17
44
.08280
12.0772
.10040
9.96007
.11806
8.47007
. 13580
7.30389
10
45
.08309
12.0346
.10069
9.93101
.11836
8.44896
.13609
7.34786
15
46
.08339
11.9923
.10099
9.90211
.11805
8.42795
.13639
7.83190
14
47
.08368
11.9504
.10128
9.87338
.11895
8.40705
.13609
7.31600
13
48
.08397
11.9087
.10158
9.84482
.11924
8.38625
.13698
7.30018
12
49
.08427
11.8673
.10187
9.81641
.11954
8.36555
.13728
7.28442
11
50
.08456
11.8262
.10216
9.7'8817
.11983
8.34496
.13758
7.26873
10
51
J08485
11.7853
.10246
8.76009
.12013
8.32446
.13787
7.25310
9
52
.08514
11.7448
.10275
9.73217
.12042
8.30406
.13817
7.23754
8
53
.08544
11.7045
.10305
9.70441
.12072
8.28376
.13846
7.22204
f
54
.08573
11.6645
.10334
9.67680
.12101
8.26355
.13876
7.20661
0
55
.08602
11.6248
.10363
9.64935
.12131
8.24345
.13906
7.19125
5
56
.08632
11.5853
.10393
9.62205
.12160
8.22344
.13935
7.17594
4
57
.08661
11.5461
.10422
9.59490
.12190
8.20352
.13965
7.16071
3
58
.08690
11.5072
.10452
9.56791
.12219
8.18370
.13995
7.14553
2
59
.08720
11.4685
.10481
9.54106
.12249
8.16398
.14024
7.13042
1
60
.08749
11.4301
.10510
9.51436
.12278
8.14435
.14054
7.11537
0
/
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
/
8
5°
3
4°
8
3°
8
3°
236
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
8°
9°
10°
11°
Tang
Cotang
Tang Cotang
Tang
Cotang
Tang
Cotang
0
~ .14054
7.11537
.15838
6.31375
.17633
5.67128
.19438
5.14455
60
1
.14084
7.10038
.15868
6.30189
.17663
5.66165
.19468
5.13658
59
2
.14113
7.08546
.15898
6.29007
.17693
5.65205
.19498
5.12862
58
3
, 14143
7.07059
.15928
6.27829
.17723
5.64248
.19529
5.12069
57
4
.14173
7.0.5579
.15958
6.26655
.17753
5.63295
.19559
5.11279
56
5 .14202
7.04105
.15988
6.25486
.17783
5.62344
.19589
5.10490
55
81 .14232
7.02637
.16017
6.24321
.17813
5.61397
.19619
5.09704
54
7
.14262
6.91174
.16047
6.23160
.17843
5.60452
.19649
5.08921
53
8
.14291
6.99718
.16077
6.22003
.17873
5.59511
.19680
5.08139
52
9
.14321
6.98268
.16107
6.20851
.17903
5.58573
.19710
5.07360
51
10
.14351
6.96823
.16137
6.19703
.17933
5.57638
.19740
5.06584
50
11
.14381
6.95385
.161G7
6.18559
.17963
5.56706
.19770
5.05809
49
12
.14410
6.93952
.10193
6.17419
.17993
5.55777
.19801
5.05037
48
13
.14440
6.92525
.16226
6.16283
.18023
5.54851
.19831
5.04257
47
14
.14470
6.91104
.1G256
6.15151
.18053
5.53927
.19861
5.03499
46
15
.14499
6.89088
.16286
6.14023
.18033
5.53007
.19891
5.02734
45
16
.14529
6.83278
.16316
6.12399
.18113
5.52090
.19921
5.01971
44
17
.14559
6.83874
.16346
6.11779
.18143
5.51176
.19952
5.01210
43
18
.14533
6.85475
.16376
6.10364
.10173
5.50264
.19982
5.00451
42
19
.14618
6.84032
.16405
6.09552
.18203
5.49356
.20012
4.99695
41
20
.14048
6.82694
.16435
6.08444
.18233
5.48451
.20042
4.98940
40
21
.14673
6.81312
.16465
6.07340
.18263
5.47548
.20073
4.98188
39
22
.147'07
6.79036
.16495
6.03240
.10293
5.46648
.20103
4.974J38
38
23
.14737
6 . 70564
.16525
6.05143
.10323
5.457'51
.20133
4.96690
37
24
.14767
6.77199
.10555
6.04051
.18353
5.44857
.20164
4.95945
36
25
.14796
6.75838
.16535
6.02932
.18384
5.43966
.20194
4.95201
35
26
.14826
6.74483
.16615
6.01878
.18414
5.43077
.20224
4.94460
34
27
.14856
6.73133
.16645
6.00797
.10444
5.42192
.20254
4.93721
33
28
.14885
6.71789
.16674
5.99720
.10474
5.41309
.20285
4.92984
32
29
.14915
6.70450
.16704
5.93346
.10504
5.40429
.20315
4.92249
31
30
.14945
6.69116
.16734
5.97576
.18534
5.39552
.20345
4.91516
30
31
.14975
6.67787
.16764
5.96510
.18564
5.38677
.20376
4.90785
29
3;3
.15005
G. 63463
.16794
5.95448
.18594
5.37805
.20406
4.90056
28
83
.15034
6.65144
.16324
5.94390
.18624
5.36936
.20436
4.89330
27
34
.15064
6.63831
.16854
5.93335
.18654
5.3607-0
.20466
4.88605
26
35
.15094
6.62523
.16834
5.92283
.10684
5.35206
.20497
4.87882
25
36
.15124
6.61219
.16914
5.91236
.10714
5.34345
.20527
4.87162
24
37
.15153
6.59921
.16944
5.90191
.10745
5.33487
.20557
4.86444
23
38
.15183
6.58627
.16974
5.83151
.18775
5.32631
.20588
4.85727
22
39
.15213
6.5733.1
.17004
5.83114
.10805
5.31778
.20618
4.85013
21
40
.15243
6.56055
.175083
5.87080
.18835
5.30928
.20648
4.84300
20
41
.15272
6.54777
.17063
5.86051
.18865
5.30080
.20679
4.83590
19
42
.15302
6.53503
.17003
5.85024
.10895
5.29235
.207C9
4.82882
18
43
.15332
6.52234
.17123
5.84001
.10925
5.20393
.20739
4.82175
17
44
.15362
6.50970
.17153
5.82982
.10955
5.27553
.20770
4.81471
16
45
.15391
6.49710
.17183
5.81966
.10986
5.23715
.20800
4.00769
15
46
.15421
6.48456
.17213
5.80953
.19016
5.25880
.20830
4.00068
14
47
.15451
6.47206
.17243
5.79944
.19046
5.25048
.20861
4.79370
13
48
.15481
6.45931
.17273
5.73938
.1907'6
5.24213
.20391
4.7'8673
12
48
.15511
6.44720
.17303
5.77936
.19106
5.23391
.20921
4.77978
11
50
.15540
6.43484
.17333
5.76937
.19136
5.22566
.20952
4.77286
10
51
.15570
6.42253
.17363
5.75941
.19166
5.21744
.20982
4.76595
9
52
.15600
6.41026
.17393
5.74949
.19197
5.20925
.21013
4.75906
8
53
.15630
6.30804
.17423
5.73960
.19227
5.20107
.21043
4.75219
7
54
.15660
6.38587
.17453
5.72974
.19257
5.19293
.21073
4.74534
6
55
.15689
6.37374
.17483
5.71992
.19287
5.18480
.21104
4.73851
5
56
.15719
6.36165
.17513
5.71013
.19317
5.17671
.21134
4.73170
4
57
.15749
6.34961
.17543
5.70037
.19347
5.16863
.21164
4.72490
3
58
.15779
6.33761
.17573
5.69064
.19378
5.16058
.21195
4.71813
2
59
.15809
6.32566
.17603
5.68094
.19408
5.15256
.21225
4.71137
1
60
.15838
6.31375
.17633
5.67128
.19438
5.14455
.21256
4,70463
0
/
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
/
81°
80° 1
79°
78° 1
237
TABLE XVI. -NATURAL TANGENTS AND COTANGENTS.
12°
13°
14°
15° |
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
It
0
.21256
4.70463
.23087
4.33148
.249J33
4.01078
.26795
3.73205
60
1
.21286
4.69791
.23117
4.32573
.24964
4.00582
.26826
3.72771
59
2
.21316
4.69121
.23148
4.32001
.24995
4.00086
.26857
3.72338
58
3
.21347
4.68452
.23179
4.31430
.25026
3.99592
.26888
3.71907
57
4
.21377
4.67786
.23209
4.30860
.25056
3.99099
.26920
3.71476
56
5
.21408
4.67121
.23240
4.30291
.25087
3.98607
.26951
3.71046
55
6
.21438
4.66458
.23271
4.29724
.25118
3.98117
.26982
3.70616
54
7
.21469
4.65797
.23301
4.29159
.25149
3.97627
.27013
3.70188
53
8
.21499
4.65138
.23332
4.28595
.25180
3.97139
.27044
3.69761
52
9
.215£9
4.64480
.23363
4.28032
.25211
3.96651
.27076
3.69335
51
10
.21560
4.63825
.23393
4.27471
.25242
3.96165
.27107
3.68909
50
11
.21590
4.63171
.23424
4.26911
.25273
3.95680
.27138
3.68485
49
12
.21621
4.62518
.23455
4.26352
i .25304
3.95196
.27169
3.68061
48
13
.21651
4.61868
.23485
4.25795
.25335
3.94713
.27201
3.67638 47
14
.21682
4.61219
.23516
4.25239
.25366
3.94232
.27232
3.67217 46
15
.21712
4.60572
.23547
4.24685
.25397
3.93751
.27263
3.66796
45
16
.21743
4.59927
.23578
4.24132
.25428
3.93271
.27294
3.66376
44
17
.21773
4.59283
.23608
4.23580
.25459
3.92793
.27326
3.65957
43
18
.21804
4.58641
.23639
4.23030
.25490
3.92316
.27357
3.65538
42
19
.21834
4.58001
.23670
4.22481
.25521
3.91839
.27388
3.65121
41
20
.21864
4.57363
.23700
4.21933
.25552
3.91364
.27419
3.64705
40
21
.21895
4.56726
.23731
4.21387
.25583
3.90890
.27451
3.64289
39
22
.21925
4.56091
.23702
4.20842
.25614
3.90417
.27482
3.63874
38
23
.21956
4.55458
.23793
4.20298
.25645
3.89945
.27513
3.63461
37
24
.21986
4.54826
.23823
4.19756
.25676
3.89474
.27545
3.68048
36
25
.22017
4.54196
.23854
4.19215
.25707
3.89004
.27576
3.62636
35
26
.22047
4.53568
.23885
4.18675
.25738
3.88536
.27607
3.62224
34
27
.22073
4.52941
.23916
4.18137
.25769
3.88068
.27638
3.61814
33
28
.22108
4.52316
.23946
4.17600
.25800
3.87601
.27670
3.61405
32
29
.22139
4.51693
.23977
4.17064
.25831
3.87136
.27701
3.G0996
31
30
.22169
4.51071
.24008
4.16530
.25862
3.86671
.27732
3 G0588
30
31
.22200
4.50451
.24039
4.15997
.25893
3.86208
.27764
3.60181
29
• -J
.22231
4.49832
.24069
4.15465
.25924
3.85745
.27795
3 . 59775
23
33
.22261
4.49215
.24100
4.14934
.25955
3.85284
i .27826
3.59370
27'
34
.22292
4.48600
.24131
4.14405
.25986
3.84824
.27858
3.58966
26
35
.22322
4.47986
.24162
4.13877
.26017
3.84364
.27889
3.58562
25
36
.22353
4.47374
.24193
4.13350
.26048
3.83906
.27921
3.58160
24
37
.22383
4.46764
.24223
4.12825
26070
3.83449
.27952
3.57758
23
33
.22414
4.46155
.24254
4.12301
.26110
3.82992
! .27983
3.57357
22
SO
.22444
4.45548
.24285
4.11778
.26141
3.82537
.28015
3.56957
;:i
40
.22475
4-44942
.24316
4.11256
.26172
3.82083
.28046
3.56557
20
41
.22505
4.44338
.24347
4.10736
.26203
3.81630
.28077
3.56159
10
42
.22536
4.43735
.24377
4.10216
.26235
3.81177
.28109
3.557'61
18
43
.22567
4.43134
.24408
4.09699
.26266
3.80726
.28140
3.55364
17
44
.22597
4.42534
.24439
4.09182
.26297
3.80273
.28172
3.54968
16
45
.22G28
4.41936
.24470
4.08666
.26328
3.79827
.28203
3.54573
15
46
.22658
4.41340
.24501
4.08152
.26359
3.79378
.28234
8.540
14
47
.22089
4.40745
.24532
4.07639
.26390
3.78931
.28266
3.53785
13
48
.22719
4.40152
.24562
4.07127
.26421
3.784R5
.28297
3.53393
12
49
.22750
4.33560
.24593
4.06G16
.26452
3.78040
.28329
3.53001
11
50
.22781
4.38969
.24624
4.06107
.26483
3.77595
.28360
3.52609
10
51
.22811
4.38381
.24655
4.05599
.26515
3.77152
.28391
3.52219
9
52
.22842
4.37793
.24686
4.05092
.26546
3.76709
.28423
3.51829
8
53
.22872
4.37207
.24717
4.04586
.26577
3.76268
.28454
3.51441
7
54
.22903
4.36623
.24747
4.04081
.26608
3.75828
.28486
3.51053
6
55
.22934
4.36040
.24778
4.03578
.26639
S. 75388
.28517
3.50666
5
56
.22964
4.35459
.24809
4.03076
.26670
3.74950
.28549
3.50279
4
57
.22995
4.34879
.24840
4.02574
.26701
3.74512
.28580
3.49894
3
58
.23026
4.34300
.24871
4.02074
.26733
3.74075
.28612
3.49509
2
59
.23056
4.33723
.24902
4.01576
.26764
3.73640
.28643
3.49125
1
60
.23087
4.33148
.24933
4.01078
.26795
3.73205
.28075
3.48741
0
/
Cotang
Tang
Cotang
Tang
Cotang Tang
Cotang Tang
/
77°
76° 1! 75° I
74°
238
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
16°
17°
18°
19°
Tang
Cotang
Tang
Cotang
Tang Cotang
Tang
Cotang
'
0
.28675
3.48741
.30573
3.27085
.J12492
3.07768
.34433
2.90421
60
1
.28706
3.48359
.30605
3.26745 .32524
3.07464
.34465
2.90147
59
2
.28738
3.47977
.30637
3.2&406
.32556
3.07160
.34498
2.89873
58
a
.28769
3.47596
.30669
3.26067
.32588
3.06857
.34530
2.89600
57
4
.28800
3.47216
.30700
3.25729
.32621
3.06554
.34563
2.89327
56
5
.28832
3.46837
.30732
3.25392
.32.353
3.06252
.34596
2.89055
55
6
.288t>4
3.46458
.30764
3.25055 i .32685
3.05950
.34628
2.88783
54
7
.28895
3.46080
.30796
3.24719
.32717
3.05649
.34661
2.88511
53
S
.28927
3.45703
.30828
3.24383
.32749
3.05349
.34693
2.88240
52
9
.28958
3.45327
.30860
3.24049
.327-82
3.05049
.34726
2.87970
51
10
.28990
3.44951
.30891
3.23714
.32814
3.04749
.34758
2 87700
50
11
.29021
3.44576
.30923
3.23381
.32846
3.04450
.34791
2.87430
49
12
.29053
3.44202
.30955
3.2:3048
.32878
3.04152
.34824
2.87161
48
13
.29084
3.43829
.30987
3.22715
.32911
3.03854
.34856
2.86892
47
14
.29116
3.43456
.31019
3.22384
.32943
3.03556
.34889
2.86624
46
15
.29147
3.43084
.31051
3.22053
.32975
3.03260
.34922
2.86356
45
16
.29179
3.42713
.31083
3.21722
.33007
3.02963
.34954
2.86089
44
17
.29210
3.42343
.31115
3.21392
.33040
3.02667
.34987
2.85822
43
19
.29242
3.41973
.31147
3.21063
.33072
3.02372
.85020
2.85555
42
19
.29274
3.41604
.31178
3.20734
.33104
3.02077
.35052
2.85289
41
20
.29305
3.41236
.31210
3.20406
.33136
3.01783
.35085
2.85023
40
21
.29337
3.40869
.31242
3.20079
.asie9
3.01489
.35118
2.84758
39
22
.29368
3.40502
.31274
3.19752
.£3201
3.01196
.35150
2.84494
38
23
.29400
3.40136
.31306
3.19426
.332S3
3.00903
.35183
2.84229
37
24
.29432
3.39771
.31338
3.19100
.332G6
3.00611
.35216
2.83965
36
25
.29463
3.39406
.31370
3.18775
.33298
3.00319
.35248
2.83702
85
20
.29495
3.39042
.31402
3.18451
.3&330
3.00028
.35281
2.83439
34
27
.29526
3.38679
.31434
3.18127
.33363
2.99738
.35314
2.83176
83
28
.29558
3.38317
.31466
3.17804
.33395
2.99447
.35346
2.82914
82
29
.29590
3.37955
.31498
3.17481
.33427
2.99158
.35379
2.82653
31
80
.29621
3.37594
.31530
3.17159
.33460
2.98868
.35412
2.82391
30
51
.29653
3.37234
.31562
3.16838
.33492
2.98580
.35445
2.82130
29
32
.29685
3.36875
.31594
3.16517
.33524
2.98292
.35477
2.81870
28
33
.29716
3.36516
.31626
3.16197
.33557
2.98004
.35510
2.81610
27
34
.29748
3.36158
.31658
3.15877
.33589
2.97717
.35543
2.81350
28
:->5
.29780
3.35800
.31690
3.15558
.33621
2.97430
.35576
2.81091
25
36
.29811
3.35443
.31722
3.15240
.33654
2.97144
.35608
2.80833
24
37
.29843
3.3508?
.31754
3.14922
.33686
2.96858
.35641
2.80574
23
38
.29875
3.34732
.31786
3.14605
.33718
2.96573
.35674
2.80316
22
39
.29906
3.34377
.31818
3.14288
.33751
2.96288
.35707
2.80059
21
40
.29938
3.34023
.31850
3.13972
.33783
2.96004
.35740
2.79802
20
41
.29970
3.33670
.31882
3.13656
.33816
2.95721
.35772
2.79545
19
42
.30001
3.33317
.31914
3.13341
.33848
2.95437
.35805
2.79289
18
43
.30033
3.32965
.31946
3.13027
.33881
2.95155
.85888
2.79033
17
44
.30065
3.32614
.31978
3.12713
.33913
2.9487'2
.85871
2.78778
10
45
.30097
3.32264
.32010
3.12400
.33945
2.94591
.35904
2.78523
15
46
.30123
3.31914
.32042
3.12087
.33978
2.94309
.35937
2.78269
14
47
.30160
3.31565
.32074
3.11775
.34010
2.94028
.35969
2.78014
13
48
.30192
3.31216
.32106
3.11464
.34043
2.93748
.36002
2.77761
12
49
.30224
3.30868
.32139
3.11153
.34075
2.93468
.36035
2.77507
11
50
.30255
3.S0521
.32171
3.10843
.34108
2.93189
.36068
2.77254
10
51
.30287
3.30174
.32203
3.10532
.34140
2.92910
.36101
2.77002
9
52
.30319
3.29829
.32235
3.10223
.34173
2.92632
.36134
2.76750
8
53
.30351
3.29483
.32267
3.09914
.34205
2.92354
.36167
2.76498
7
54
.30382
3.29139
.32299
3.09606
.34238
2.92076
.36199
2.76247
6
55
.30414
3.28795
.32331
3.09298
.34270
2.91799
.36232
2.75996
5
56
.30446
3.28452
.32363
3.08991
.34303
2.91523
.36265
2.75746
4
57
.30478
3.28109
.32396
3.08685
.34335
2.91246
.36298
2.75496
3
58
.30509
3.27767
.32428
3.08379
.34368
2.90971
.36331
2.75246
2
59
.30541
3.27426
.32460
3.08073
.34400
2.90696
.36364
2.74997
1
GO
.3057-3
3.27085
.32492
3.077'08
.34433
2.90421
.36397
2.74748
_0
/
Cotanr^
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
/
73°
72°
71°
70°
239
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
20°
21°
22°
23°
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
'
Oi .30397
2.74748
.88886
2.60509
.40403
2.47509
.42447
2.35585
00
1
.36430
2.74499
.38420
2.60283
.40436
2.47302
.42482
2.35395
51)
c
.36463
2.74251
.38453
2.60057
.40470
2,47095
.42516
2.35205
58
3
.36496
2.74004
.38487
2.59831
.40504
2.46888
.42551
2.35015
57
^
.36529
2.73756
.38520
2.59606
.40538
2.46682
.42585
2.34825
50
5
.36562
2.73509
.38553
2.59381
.40572
2.46476
.42619
2.34636
55
G
.36595
2.73263
.38587
2.59156
.40606
2.46270
.42654
2.34447
54
7
.36628
2.73017
.38620
2.58932
.40640
2.46065
.42688
2.34258
53
8
.36661
2.72771
.38654
2.58708
.40674
2.45860
4^722
2.34069
52
r
.36694
2.72526
.38687
2.58484
.40707
2.45655
'.42757
2.33881
51
10
.36727
2.72281
.38721
2.58261
.40741
2.45451
.42791
2.33693
50
11
.36760
2.72036
.38754
2.58038
.40775
2.45246
.42826
2.33505
49
13
.36793
2.71792
.38787
2.57815
.40809
2.45043
.42800
2.33317
•18
13
.36823
2.71548
.33821
2.57593
.40843
2.44839
.42894
2.33130
47
14
.36859
2.71305
.38854
2.57371
.40877
2.41636
.42929
2.32943
40
15
.36892
2.71062
.38888
2.57150
.40911
2.44433
.42963
2.32756
45
16
.36925
2.70819
.38921
2.56928
.40945
2.44230
.42998
2.32570
44
17
.36958
2.70577
.38955
2.56707
.40979
2.44027
.43032
2.32383
43
18
.36991
2.70335
.33983
2.56487
.41013
2.43025
.43007
2.32197
42
19
.37024
2.70094
.39022
2.56266
.41047
2.43623
.43101
2.32012
41
20
.37057
2.69853
.39055
2.56046
.41081
2.43422
.43136
2.31826
40
21
.37090
2.69612
.39089
2.55827
.41115
2.43220
.43170
2.31641
39
22
.37123
2.G9371
.33122
2.556G8
.41149
2.43019
.43205
2.31456
88
23
.37157
2.69131
.39156
2.55389
.41183
2.42319
.43233
2.31271
87
24
.37190
2.68892
.39190
2.55170
.41217
2.42618
.43274
2.31086
9Q
25
.37223
2.68653
.39223
2.54952
.41251
2.42418
.43308
2.30902
85
26
.37256
2.68414
.39257
2.54734
.41285
2.42218
.43343
2.30718
31
27
.37289
2.68175
.39290
2.54516
.41319
2.42019
.43378
2.30534
83
28
.37322
2 67937
.39324
2.54299
.41353
2.41019
.43412
2.30351
32
29
.37355
2.67700
.39357
2.54082
.41307
2. 41 020
.43447
2.30167
31
30
.37388
2.67462
.39391
2.53865
.41421
2.41421
.43481
2.29984
30
31
.37422
2.67225
.39425
2.53648
.41455
2.41223
.43516
2.29801
29
32
.37455
2.66989
.39458
2.53432
.41490
2.41025
.43550
2.29619
28
33
.37488
2.66752
.39492
2.53217
.41521
2.40827
.43585
2.29437
27
34
.37521
2.66516
.39526
2.53001
.41558
2.40629
.43620
2.29254
20
35
.37554
2.66281
.39559
2.52786
.41592
2.40432
.43654
2.29073
25
30
.37588
2.66046
.39593
2.52571
.41626
2.40235
.43689
2.28891
24
37
.37621
2.65811
.39626
2.52357
.41660
2.40038
.43724
2.28710
23
38
.37654
2.65576
.39660
2.52142
.41694
2.39841
.43758
2.28528
22
39
.37687
2.65342
.39694
2.519^9
.41728
2.39645
.43793
2.28348
21
40
.37720
2.65109
.39727
2.51715
.41763
2.39449
.43828
2:28167
20
41
.37754
2.64875
.39761
2.51502
.41797
2.39253
.43862
2.27987
19
42
.37787
2.64642
.39795
2.51289
.41831
2.3i*058
.43897
2.27806
18
43
.37820
2.64410
.39829
2.5107'6
.41865
2.38863
.43932
2.27'626
17
44
.37853
2.64177
.39862
2.50864
41899
2.38668
.43066
2.27'447
10
45
.37887
2.63945
.39896
2.50652
.41933
2.38473
.44001
2.27'267
15
46
.37920
2.63714
.39930
2.50440
.41968
2.38279
.44036
2.27'088
14
47
.37953
2.63483
.39963
2.50229
.42002
2.38084
.44071
2.20909
13
48
.37986
2.63252
.39997
2.50018
.42036
2.37891
.44105
2.26730
12
49
.38020
2.63021
.40031
2.49807
.4207'0
2.37697
.44140
2.26552
11
50
.38053
2.62791
.40065
2.49597
.42105
2.37504
.44175
2.26374
10
51
.38086
2.62561
.40098
2.49386
.42139
2.37311
.44210
2.26196
9
52
.38120
2.62332
.40132
2.49177
.42173
2.37118
.44244
2.26018
8
53
.38153
2.62103
.40166
2.48967
.42207
2.36925
.44279
2.25840
7
54
.38186
2.61874
.40200
2.487'58
.42242
2.36733
.44314
2.25663
0
55
.38220
2.61646
.40234
2.48549
.42276
2.36541
.44349
2.25486
5
56
.38253
2.61418
.40267
2 48340
.42310
2.36349
.44384
2.25309
4
57
.38286
2.61190
.40301
2.48132
.42345
2.36158
.44418
2.25132
3
58
.38320
2.60963
.40335
2.47924
.42379
2.35967
.44453
2.24956
2
59
38353
2.60736
.40369
2.47716
.42413
2.35776
.44488
2 24780
1
80
38386
2.60509
.40403
2.47509
.42447
2.35585
.44523
2.24604
0
/
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
>
69°
68°
67°
66°
240
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
2
4°
2
5°
! 2
6°
2
7°
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
0
.44523
2.24604
.46631
2.14451
.48773
2.05030
.50053
1.96261
60
1
.44558
2.24428
.46006
2.14288
.48809
2.04879
.50989
1.96120
59
2
.44593
2.24252
.46702
2.14125
.48845
2.04728
.51026
1.95979
58
3
.44627
2.24077
.46737
2.13963
.48881
2.04577
.51063
1.95838
57
4
.44062
2.23902
.46772
2.13801
.48917
2.04426
.51099
1.95698
56
5
.44697
2.23727
.46808
2.13639
.48953
2.04276
.51136
1.95557
55
6
.44732
2.23553
.46843
2.13477
.48989
2.04125
.51173
1.95417
54
7
.44767
2.23378
.46879
2.13316
.49026
2.03975
.51209
1.95277
53
8
.44802
2.23204
.46914
2.13154
.49062
2.03825
.51246
1.95137
5°
9
.44837
2.230SO
.46950
2.12993
.49098
2.03675
.51283
1.94997
51
10
.44872
2.22857
.46985
2.12832
.49134
2.03526
.51319
1.94858
50
11
.44907
2.22683
.47021
2.12671
.49170
2.03376
.51356
1.94718
49
12
.44942
2.22510
.47056
2.12511
.49206
2.0G227
.51393
1.94579
48
13
.44977
2.22337
.47'092
2.12350
.49242
2.03078
.51430
1.94440
47
11
.45012
2.22164
.47128
2.12190
.49278
2.02929
.51467
1.94301
40
15
.45047
2.21992
.47163
2.12030
.49315
2.02780
.51503
1.94162
45
10
.45082
2.21819
.47199
2.11871
.49351
2.02631
.51540
1.94023
44
17
.45117
2.21647
.47234
2.11711
.49387
2.02483
.51577
1.93885
43
18
.45152
2.21475
.47270
2.11552
.49423
2.02335
.51614
1.93746
42
10
.45187
2.21304
.47305
2.11392
.49459
2.02187
.51051
1.93608
41
20
.45222
2.21132
.47341
2.11233
.49495
2.02039
.51688
1.93470
40
21
.45257
2.20961
.47377
2.11075
.49532
2.01891
.51724
1.93332
39
22
.45292
2.20790
.47412
2.10916
.49508
2.01743
.51761
1.93195
38
23
.45327
2.20619
.47448
2.10758
.49004
2.01596
.51798
1.93057
37
84
.45362
2.20449
.47483
2.10600
.49040
2.01449
.51835
1.92920
30
25
.45397
2.20278
.47519
2.10442
.49677
2.01302
.61872
1.92782
35
20
.45432
2.20108
.47o55
2.10284
.49713
2.01155
.51909
1.92645
34
27
.45467
2.19938
.47590
2.10126
.497'49
2.01008
.51946
1.92508
33
28
.45502
2.19769
.47626
2.09909
.49786
2.00862
.51983
1.92371
32
21)
.45538
2.10599
.47602
2.09811
.49822
2.00715
.52020
1.92235
31
30
.45573
2.19430
.47698
2.09654
.49858
2.00569
.52057
1.92098
30
31
.45608
2.19261
.47733
2.09498
.49894
2.00423
.52094
1.91962
29
32
.45643
2.19092
.47769
2.09341
.49931
2.00277
.52131
1.91826
28
33
.4567'8
2.18923
.47805
2.09184
.49967
2.00131
.52168
1.91690
27
34
.45713
2.18755
.47840
2.09028
.50004
1.99986
.52205
1.91554
26
35
.45748
2.18587
.47876
2.08872
.50040
1.99841
.52242
1.91418
25
30
.45784
2.18419
.47912
2.08716
.50076
1.99695
.52279
1.91282
24
37
.45819
2.18251
.47948
2.08560
.50113
1.99550
.52316
1.91147
23
38
.43854
2.18084
.47984
2.03405
.50149
1.99406
.52353
1.91012
22
39
.45889
2.17916
.48019
2.0;S250
.50185
1.99261
.52390
1.90876
21
40
.45924
2.17749
.48055
2.08094
.50222
1.99116
.52427
1.90741
20
41
.45960
2.17582
.48091
2.07939
.50258
1.98972
.52464
1.90607
19
42
.45995
2.17416
.48127
2.07785
.50295
1.98828
.52501
1.90472
18
43
.46030
2.17249
.48163
2.07630
.50331
.98684
.52538
1.90337
17
44
.46065
2.17083
.48198
2.07476
.50368
.98540
52575
1.90203
16
45
.46101
2.10917
.48234
2.07321
.50404
.98396
! 52613
1.90069
15
46
.46136
2.16751
.48270
2.07167
.50441
.98253
.52650
1.89935
14
47
.46171
2.16585
.48306
2.07014
.50477
.98110
.52687
1.8C801
13
48
.46206
2.16420
.48342
2.06860
.50514
.97966
.52724
1.89667
12
49
.46242
2.10255
.48378
2.06706
.50550
.97823
.52761
J. 89533
11
50
.46277
2.1G090
.48414
2.06553
.50587
.97681
.52798
1.89400
10
51
.46312
2.15925
.48450
2.06400
.50623
.97538
.52836
1.89266
9
52
.46348
2.15760
.48486
2.06247
.50660
.97395
.52873
1.89133
8
53
.46383
2.15596
.48521
2.06094
.50696
.97253
.52910
1.89000
7
64
.46418
2.15432
.48557
2.05942
.50733
.97111
.52947
1.88867
6
55
.46454
2.15268
.48593
2.05790
.50769
.96969
.52985
1.88734
5
56
.46489
2.15104
.48629
2.05637
.50806
.96827
.53022
1.88602
4
57
.46525
2.14940
.48665
2.05485
.50843
.96685
.53059
1.88469
3
58
.46560
2.14777
.48701
2.05333
.50879
.96544
.53096
1.88337
2
50
.46595
2.14614
.48737
2.05182
.50916
.96402
.53134
1.88205
1
60
.46631
2.14451
.48773
2.050:30
.50953
.96261
.53171
1.88073
0
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
r
6
5°
6
4°
6
3°
6
2°
241
TABLE XVI. -NATURAL TANGENTS AND COTANGENTS.
2
8°
2
9° l
1 3
0°
3
1°
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
0
.53171
1.88073
.554.91
1.80405
.57735
.73205
.60086
1.66428
60
1
.53208
1.87941
.55469
1.80281
.57774
.73089
.60126
1.66318
59
2
.53246
1.87809
.55507
1.80158
.57813
.72973
.60165
1.66209
58
3
.53283
1.87677
.55545
1.80034
.57851
.72857
.60205
1.60099
57
4
.53320
1.87546
.55583
1.79911
.57890
.72741
.60245
1.65990
56
5
.53358
1.87415
.55621
1.79788
.57929
.72625
.60284
1.65881
55
0
.53395
1.87283
.55659
1.79665
.57968
.72509
.60324
1.65772
54
7
.53432
1.87152
.55697
1.79542
.58007
.72393
.60364
1.65663
53
8
.53470
1.87021
.55736
1.79419
.58046
.72278
.60403
1.65554
52
9
.53507
1.86891
.55774
1.79296
.58085
.72163
.60443
1.65445
51
10
.53545
1.86760
.55812
1.79174
.58124
.72047
.60483
1.65337
50
11
.53582
1.86630
.55850
1.79051
.58162
.71932
.60522
1.65228
49
12
.53620
1.86499
.55888
1.78929
.58201
.71817
.60562
1.65120
48
18
.53657
1.86369
.55926
1.78807
.58240
.71702
.C0602
1.65011
47
14
.53694
1.86239
.55964
1.78685
.58279
.71588
.60642
1.64903
46
15
.53732
1.86109
.5G003
1.78563
.58318
.71473
.60681
1.64795
45
10
.53769
1.85979
.56041
1.78441
.58357
.71358
.60721
1.64687
44
17
.53807
1.85850
.56079
1.78319
.58396
.71244
.60761
1.64579
43
18
.53844
1.85720
.56117
1.78198
.58435
.71129
.60801
1.64471
42
19
.53882
1.85591
.50156
1.78077
i .58474
.71015
.60841
1.64363
41
20
.53920
1.85463
.56194
1.77955
.58513
.70901
.60881
1.64256
40
21
.53957
1.85333
.56232
1.77834
j .58552
.70787
.60921
1.64148
39
22
.53995
1.85204
.50270
1.77713
i .58591
.70673
.60960
1.64041
38
23
.54032
1.85075
.50309
1.77592
.58631
.70560
.61000
1.63934
37
24
.54070
1.84946
.56347
1.77471
.5867'0
.70446
.61040
1.63826
36
25
.54107
1.84818
.56385
1.77351
.58709
.70332
.61080
1.63719
35
26
.54145
1.84689
.56424
1.77230
.587'48
.70219
.61120
1.63612
34
27
.54183
1.84561
.50462
1.77110
.58787
.70106
.61160
1.63505
33
28
.54220
1.84133
.56501
1.76990
.58826
.C9992
.61200
1.63398
32
29
.54258
1.84305
.50539
1.76869
.588C5
1.69879
.61240
1.63292
31
oO
.54296
1.84177
.56577
1.76749
.58905
1.69766
.61280
1.63185
30
31
.54333
1.84049
.56616
1.76629
.58944
1.69653
.61320
1.63079
29
32
.54371
1.83922
.56654
1.76510
.58983
1.69541
.61360
1.62972
28
33
.54409
1.83794
.56693
1.70390
.59022
1.69428
.61400
1.62866
27
34
.54446
1.83667
.56731
1.76271
.59061
1.69316
.61440
1.62760
26
35
.54484
1.83540
.56769
1.76151
.59101
1.69203
.61480
1.62654
25
30
.54522
1.83413
.56808
1.76032
.59140
1.69091
.61520
1.62548
24
37'
.54560
1.83286
.56846
1.75913
.59179
1.68979
.61561
1.62442
23
38
.54597
1.83159
.56885
1.75794
.59218
1.68866
.61601
1.62336
22
39
.54635
1.83033
.56923
1 . 75675
.50258
1.C8754
.61641
1.62230
21
40
.54673
1.82906
.56962
1.75556
.59297
1.68643
.61681
1.62125
20
41
.54711
1.82780
.57000
1.75437
.59336
1.68531
.61721
1.62019
19
42
.547'48
1.82654
.57039
1.75319
.59376
1.68419
.61761
1.61914
18
43
.54786
1.82528
.57'078
1.75200
.59415
1.68308
.61801
1.61808
17
44
.54824
1.82402
.57116
1.75082
.59454
1.68196
.61842
1.61703
16
45
.54862
1.82276
.57155
1.74964
.59494
.68085
.61882
1.61598
15
46
.54900
1.82150
.57193
1.74846
.59533
.67974
.61922
1.61493
14
47
.54938
1.82025
.57232
1.74728
.59573
.67863
.61962
1.61388
13
48
.54975
1.81899
.57271
1.74610
.59612
.67752
.62003
1. 61283
12
49
.55013
1.81774
.57309
1.74492
.59651
.67641
.62043
1.61179
11
50
.55051
1.81649
.57348
1.74375
.59691
.67530
.62083
1.61074
10
51
.55089
1.81524
.57386
1.74257
.59730
.67419
.62124
1.60970
9
52
.55127
1.81399
.57425
1.74140
.59770
.67309
.62164
1.60865
8
53
.55165
1.81274
.57464
1.74022
.59809
.67198
.62204
1.60761
7
54
.55203
1.81150
.57503
1.73905
.59849
.67088
.62245
1.60657
6
55
.55241
1.81025
.57541
1.73788
.59888
.66978
.62285
1.60553
5
56
.55279
1.80901
.57580
1.73671
.59928
.66867
.62325
1.60449
4
57
.55317
1.80777
.57619
1.73555
.59967
1.66757
.62366
1.60345
3
58
.55355
1.80653
.57657
1.73438
.60007
1.66647
.62406
1.60241
2
59
.55393
1.80529 i
.57696
1.73321
.60046
1.66538
.62446
1.60137
1
GO
.55431
1.80405 1
.57735
1.73205
.60086
1.66428
.62487
1.60033
0
/
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
6
1°
6
0°
5
9°
5
3°
242
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
32°
33°
34° 35°
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
0
.62487
1.60033
.64941
1.53986
.67451
1.48256 J
.70021
1.42815
60
1
.62527
1.59930
.64982
1.53888
.67493
1.48163
.70064
1.42726
59
2
.62568
1.59826
.65024
1.53791
.67536
1 48070
.70107
1.42638
58
3
.62608
1.59723
.65065
1.53693
.67578
1.47977
.70151
1.42550
57
4
.62649
1.59620
.65106
1.53595
.67620
1.47885
.70194
1.42462
56
5
.62689
1.59517
.65148
1.53497
.67663
1.47792
.70238
1.42374
55
6
.62730
1.59414
.65189
1.53400
.67705
1.47699
.70281
1.42286
54
7
.62770
1.59311
.65231
1.53302
.67748
1.47607
.70325
1.42198
53
8
.62811
1.59208
.65272
1.53205
.67790
1.47514
.70368
1.42110
52
9
.62852
1.59105
.65314
1.53107
.67832
1.47422
.70412
1.42022
51
10
.62892
1.59002
.65355
1.53010
.67875
1.47330
.70455
1.41934
50
11
.62933
1.58900
.65397
1.52913
.67917
1.47238
.70499
1.41847
49
12
.62973
1.58797
.65438
1.52816
.67960
1.47146
.70542
1.41759
48
13
.63014
1.58095
.65480
1.52719
.68002
1.47053
.70586
1.41672
47
14
.63055
1.58593
.65521
1.52622
.68045
1.46962
.70629
1.41584
46
15
.63095
1.58490
.65563
1.52525
.68088
1.46870
.70673
1.41497
45
16
.63130
1.58388
.65604
1.52429
.68130
1.46778
.70717
1.41409
44
7
.63177
1.58286
.65646
1.52a32 i
.68173
1.46686
.70760
1.41322
43
18
.63217
1.58184
.65688
1.52235
.68215
1.46595
.70804
1.41235
42
19
.63258
1.58083
.65729
1.52139 1
.68258
1.46503
.70848
1.41148
41
20
.63299
1.57981
.65771
1.52043 j
.68301
1.46411
.70891
1.41061
40
21
.63340
1.57879
.65813
1.51946
.68343
1.46320
.70935
1.40974
39
22
.63380
1.57778
.65854
1.51850
.68386
1.46229
.70979
1.40887
38
23
.63421
1.57676
.65896
1.51754
.68429
1.46137
.71023
1.40800
37
24
.63402
1.57575
.65938
1.51658
.68471
1.46046
.71066
1.40714
36
25
.63503
1.57474
.65980
1.51562
.68514
1.45955
.71110
1.40627
35
26
.63544
1.57372
.66021
1.51,466
.68557
1.45864
.71154
1.40540
*!4
27
.63584
1.57271
.00063
1.51370
.68600
1.45773
.71198
1.40454
33
28
.63625
1.57170
.66105
1.51275
.68642
1.45682
.71242
1.40367
32
29
.63666
1.57069
.C6147
1.51179
.68685
1.45592
.71285
1.40281
31
30
.63707
1.56969
.66189
1.51084
.68728
1.45501
.71329
1.40195
20
31
.63748
1.56868
.66230
1.50988
.68771
1.45410
.71373
1.40109
29
32
.63789
1.50767
.66272
1.50893
.C8814
1.45320
.71417
1.40022
28
33
.63830
1.56667
.66314
1.50797
.68857
1.45229
.714G1
1.39936
27
34
.63871
1.56566
.66356
1.50702
.68900
1.45139
.71505
1.39850
26
35
.63912
1.56466
.66398
1.50607
.68942
1.45049
.71549
1.39764
25
36
.63953
1.56366
.66440
1.50512
.08985
1.44958
.71593
1.39679
24
37
.63994
1.56205
.66482
1.50417
.69028
1.44868
.71637
1.39593
23
38
.64035
1.56165
.66524
1.50322
.69071
1.44778
.71681
1.39507
22
39
.64076
1.56065
.66506
1.50228
.69114
1.44688
.71725
1.39421
21
40
.64117
1.55966
.66608
1.50133
.69157
1.44598
.71769
1.39336
20
41
.64158
1.55866
.66650
1.50038
.69200
1.44508
.71813
1.39250
19
42
.64199
1.55766
66602
1.49944
.69243
1.44418
.7185 f
1.39165
18
43
.64240
1.55666
.66734
1.49849
.69288
1.44329
.71901
1.39079
17
44
.64281
1.55567
.66776
1.497'55
.69329
1.44239
.71946
1.38994
16
45
.64322
1.55467
.66818
1.49661
.69372
1.44149
.71990
1.38909
15
46
.64303
1.55368
.66860
1.49566
.69416
1.44060
.72034
1.38824
14
41
.64404
1.55269
.66902
1.49472
.69459
1.43970
.72078
1.38738
13
48
.64446
1.55170
.66944
1.49378
.69502
1.43881
.72122
1.38653
12
49
.64487
1.55071
.66986
1.49284
.69545
1.43792
.72167
1.385G8
11
50
.64528
1.54972
.67028
1.49190
.69588
1.43703
.72211
1.3S484
10
51
.64569
1.54873
.67071
1.49097
.69631
1.43614
.72255
1.38399
r
52
.64610
1.54774
.67113
1.49003
.09675
1.43525
.72299
1.38314
8
53
.64652
1.54675
.67155
1.48909
.69718
1.43436
.72344
1.38229
r
54
.64693
1.54576
.67197
1.48816
.69761
1.43347
,72388
1.38145
6
5o
.64734
1.54478
.67239
1.48722
.69804
1.43258
.72432
1.38060
P
5
.64775
1.54379
.67282
1.48629
.69847
1.43169
.72477
1.37976
4
5
.64817
1.54281
.67324
1.48536
.69891
1.43080
.72521
1.37891
f
5
.64858
1.54183
.67366
1.48442
.69934
1.42992
.72565
1.37807
2
5
.64899
1.54085
I .67409
1.48349
.69977
1.42903
.72610
1.37722
1
6
.64941
1.53986
j .67451
1.48256
.70021
1.42815
.72654
1.37638
0
Cotang | Tang
Cotang | Tang
Cotang
Tang
Cotang
Tang
i
57°
! 56°
55° II 54°
1
243
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
36°
37° 38° 39°
Tang
Cotang
Tang | Cotang
Tang
Cotang
Tang 1 Cotang
0
.72654
1.37638
.73865
1.32704
.78129
1.27994
.80978
1.23490
60
1
.72699
1.37554
.75401
1.32624
.78175
1.27917
.81027
1.23416
59
2
.72743
1.37470
.75447
1.32514
.78222
.27841
.81075
1.23343
5?
8
.72788
1.37386
.75492
1.32464
.78269
.27764
.81123
1.23270
57
4
.72832
1.37302
.75538
1.32384
,.78316
.27688
.81171
1.23196
56
5
.72877
1.37218
.75584
1.32304
.78363
.27611
.81220
1.23123
55
6
.72921
1.37134
.75629
1.32224
.78410
.27535
.81268
1.23050
54
.72966
1.37050
.75675
1.32144 i
.78457
1.27458
.81316
1.22977
53
B
.73010
1.36967
.75721
1.32064
.78504
1.27382
.81364
1.22904
52
9
.73055
1.36883
.75767
1.31984 |
.78551
1.27806
.81413
1.22831
51
10
.73100
1.36800
.75812
1.31904
.78598
1.27230
.81461
1.22758
50
11
.73144
1.36716
.75858
1.31825
.78645
1.27153
.81510
1.22685
49
I*
.73189
1.36633
.75904
1.31745
.78692
1.27077
.81558
1.22612
48
13
.73234
1.36549
.75950
1.31666
.78739
1.27001
.81606
1.22539
47
14
.73278
1.36466
. 75996
1.31586
.78786
.26925
.81655
1.22467
46
15
.73323
1.36383
.76042
1.31507
.78834
.26849
.81703
1.22394
45
10
.73368
1.38300
.76088
1.31427
.78881
.26774
.81752
1.22321
44
17
.73413
1.36217
.76134
1.31348
.78928
.26698
.81800
1.22249
43
18
.73457
1.36134
.76180
1.31269
.7897'5
.26622
.81849
1.22176
42
19
.73502
1.38051
.76226
1.31190
.79022
.26546
.81898
1.22104
41
20
.73547
1.35968
.76272
1.31110
.79070
.26471
.81946
1.22031
40
21
.73592
1.35885
.76318
1.31031
.79117
1.2G395
.81995
1.21959
39
22
.73637
1.35802
..76364
1.30952
.79164
1.26319
.82044
1.21886
38
23
.73681
1.35719
.76410
1.30873
.79212
1.2G244
.82092
1.21814
37
24
.73 72(i
1.35637
.76456
1.30795
.79259
1. 201 69
.82141
1.21742
36
25
.73771
1.35554
.76502
1.30716
.79306
1.20093
.82190
1.2167'0
35
26
.73816
1.35472
.76548
1.30637
.79354
1.2G018
.82238
1.21598
34
27
.73861
1.35389
.7'6594
1.30558
.79401
1.25943
.82287
1.21526
33
28
.73906
1.35307
.76640
1.30480
.79449
1.25867
.82336
1.21454
32
2!)
.73951
1.35224
.76686
1.30401
.79496
1.25792
.82385
1.21382
31
30
.73996
1.35142
.76733
1.30323
.79544
1.25717
.82434
1.21310
30
31
.74041
1.35060
.76779
1.30244
.79591
1.25642
.82483
1.21238
29
32
.74086
1.34978
.76825
1.30166
.79639
1.25567
.82531
1.21166
28
33
.74131
1.34896
.76871
1.30087
.79686
1.25492
.82580
1.21094
27
34
.74176
1.34814
.76918
1.30009
.79734
1.25417
.82629
1.21023
26
35
.74221
1.34732
.76964
1.29931
.79781
1.25343
.82678
1.20951
25
86
.74267
1.34650
.77010
1.29853
.79829
1.25268
.82727
1.20879
24
37
.74312
1.34568
.77057
1.29775
.79877
1.25193
.82776
1.20808
23
38
.74357
1.34487
.77103
1.29696
.79924
1.25113
.82825
1.20736
22
39
.74402
1.34405
.77149
1.29618
.79972
1.25044
.82874
1.20665
21
40
.74447
1.34323
.77196
1.29541
.80020
1.24969
.82923
1.20593
20
41
.74492
1.34242
.77242
1.29463
.80067
1.24895
.82972
1.20522
19
42
.74538
1.34160
.77289
1.29385
.80115
1.24820
.83022
1.20451
18
43
.74583
1.34079
.77335
1.29307
.80163
1.24746
.83071
1.20379
17
44
.74628
1.33998
.77382
1.29229
.80211
1.24672
.83120
1.20308
16
45
.74674
1.33916
. 77428
1.29152
.80258
1.24507
.83169
1.20237
15
4(3
.74719
1.33835
.77475
1.29074
.80306
1.24523
.83218
1.20166
14
47
.74764
1.33754
.77521
1.28997
.80354
1.24449
.83268
1.20095
13
48
.74810
1.33673
.77568
1.28919
.80402
1.24375
.83317
1.20024 !12
49
.74855
1.33592
.77615
1.28842
.80450
1.24301
.a3366
1.19953 111
50
.74900
1.33511
.77661
1.28764
.80498
1.24227
.83415
1.19882
10
51
.74946
1.33430
.77708
1.28687
.80546
1.24153
.83465
1.19811
9
52
.74991
1.33349
.77754
1.28610
.80594
1.24079
.83514
1.19740
8
53
.75037
1.33268
.77801
1.28533
.80642
1.24005
.83564
1.19669
7
54
.75082
1.33187
.77848
1.28456
.80600
1.23931
.83613
1 . 19599
6
55
.75128
1.33107
.77895
1.28379
.80738
1.23858
.83662
1.19528
5
56
.75173
1.33026
.77941
1.28302
.80786
1.23784
.83712
1.19457
4
K
.75219
1.32946
.77988
1.28225
.80834
1.23710
.83761
1.19387
3
58
.75264
1.32865
.78035
1.28148
.80882
1.23637
.83811
1.19316
2
5!
.75310
1.32785
.78082
1.28071
.80930
1.23563
.83860
1 . 19246
1
at
.75355
1.32704
.78129
1.27994
.80978
1.23490
.83910
1.19175
0
/
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang Tang
f
53°
52°
51°
50°
244
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
4
0°
4
1°
4
2°
4
3°
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
0
.83910
. 19175
".80929
1 . 15037
.90040
.11061
.93252
1.07237
60
1
.83960
.19105
.80980
1.14909
.90093
.10996
.93306
1.07174
59
2
.84009
.19035
.87031
1.14902
.90146
.10931
.93360
1.07112
58
3
.84059
.18904
.87082
1.14834
.90199
.10867
.93415
1.07049
57
4
.84108
.18894
.87133
1.14707
.90251
.10802
.93469
1.06987
50
5
.84158
.18824
.87184
1 . 14099
.90304
.10737
.93524
1.06925
55
6
.84208
.18754
.87'23G
1.14032
.90357
.10072
.93578
1.00802
54
7
.84258
.18684
.87287
1 . 14505
.90410
.10607
.93033
1.06800
53
8
.84307
.18014
.87:338
1.14498
.90403
.10543
.93088
1.06738
52
9
.84357
.18544
.87389
1.14430
.90516
.10478
.93742
1.06676
51
10
.84407
.18474
.87441
1.14303
.90569
.10414
.93797
1.06613
50
11
.84457
.18404
.87492
1.14290
.00021
.10349
.93852
.06551
49
12
.84507
.18334
.87543
1 . 14229
.90074
.10285
.93900
.00489
48
18
.84556
.18204
.87595
1.14102
.90727
.10220
.93901
.00427
47
14
.84006
.18194
.87046
1.14095
.90781
.10150
.94010
.00305
46
15
.84050
.18125
.87698
1.14028
.90834
.10091
.94071
.00303
45
10
.84700
.18055
.87749
.13901
.90887
.10027
.94125
.00241
44
17
.84756
.17986
.87801
.13894
.90940
.09903
.94180
.00179
43
18
.84800
.17916
.87852
.13828
.90993
.09899
.94235
.00117
42
19
.84850
.17846
.87904
.13761
.91046
.09834
.94290
.00056
41
20
.84900
1.17777
.87955
.13094
.91099
.09770
.94345
.05994
40
21
.84956
1.17708
.88007
.13027
.91153
.09706
.94400
.05932
39
23
.85000
1 . 17638
.88059
.13501
.91206
.09042
.94455
.05870
38
23
.85057
1.17509
.88110
.13494
.91259
.09578
.94510
.05809
37
24
.85107
1 . 17500
.88102
.13428
.91313
.09514
.94505
.05747
30
25
.85157
1.17430
.88214
.13301
.91366
.09450
.94620
.05685
35
x:;i
.85207
1.17301
.88205
.13295
.91419
.09380
.94676
.05624
34
27
.85257
1.17292
.88317
.13223
.91473
.09322
.94731
.05562
33
28
.85308
1.17223
.88309
.13102
.91526
.09258
.94786
.05501
32
2.)
.85358
1.17154
.88421
.13096
.91580
.09195
.94841
.05439
31
30
.85408
1.17085
.88473
.13029
.91633
.09131
.94896
.05378
30
31
.85458
1.17016
.88524
.12963
.91687
.09007
.94952
.05317
29
32
.85509
1.10947
.88576
.12897
.91740
.09003
.95007
.05255
28
83
.85559
1.16878
.88628
.12831
.91794
.08940
.95062
.05194
27
84
.85009
1.10809
.88680
1.12705
.91847
.08876
.95118
.05133
20
35
.85000
1.10741
.88732
1.12099
.91901
1.08813
.95173
.05072
25
3(5
.85710
1.16672
.88784
1.12033
.91955
1.08749
.95229
.05010
24
37
.85701
.16603
.88836
1.12507
.92008
1.08686
.95284
.04949
23
38
.85811
. 16535
.88888
1.12501
.92062
1.08622
.95340
.04888
22
39
.85802
.10406
.88940
1.12435
.92116
1.08559
.95395
.04827
21
40
.85912
.16398
.88992
1.12309
.92170
1.08496
.95451
.04766
20
41
.85963
.10329
.89045
1.12303
.92224
1.08432
.95506
.04705
19
•12
.86014
.10201
.89097
1.12238
.92277
1.08309
.95562
.04644
18
43
.80004
.10192
.89149
1.12172
.92331
1.08306
.95618
.04583
17
44
.80115
.10124
.89201
1.12106
.92385
1.08243
.95673
.04522
18
45
.80106
.10056
.89253
1.12041
.92439
1.08179
.95729
.04461
15
40
.86216
.15987
.89306
1.11975
.92493
1.08116
.95785
.04401
14
47
.80207
.15919
.89358
1.11909
.92547
1.08053
.95841
.04340
13
48
.80318
.15851
.89410
1.11844
.92601
1 -07990
.95897
.04279
12
49
.80308
.15783
.89403
1 11778
.92655
1.07927
.95952
.04218
11
50
.80419
.15715
.89515
1.11713
.92709
1.07864
.96008
.04158
10
51
.80470
.15047
.89507
1.11648
.92763
1.07801
.96064
.04097
9
52
.80521
.15579
.89020
1.11582
.92817
.07738
.96120
.04036
8
53
.80572
.15511
.89072
.11517
.92872
.07676
.96176
.03976
7
54
.80023
.15443
.89725
.11452
.92926
.07613
.96232
.03915
0
55
.80074
1.15375
.89777
.11387
.92980
.07550
.96288
.03855
5
56
.80725
1.15308
.89830
.11321
.93034
.07487
.96344
1.03794
4
57
.80776
1.15240
.89883
.11256
.93088
.07425
.96400
1.03734
3
58
.80827
1.15172
.89935
1.11191
.93143
.07362
.96457
1.03674
2
59
.80878
1.15104
.89988
1.11126
.93197
.07299
.96513
1.03613
1
60
.80929
1 . 15037
.90040
1.11001
.93252
.07237
.96569
1.03553
0
/
Cotang
Tang
Cotang
Tang
Cotang
Tang
Cotang
Tang
f
4
9°
4
8°
4
7°
4
6°
245
TABLE XVI.— NATURAL TANGENTS AND COTANGENTS.
t
4
t4°
4
£0
1
4
4°
Tang
Cotang
Tang
Cotang
Tang
Cotang
0
.90569
1.03553
60
20
.97700
1.02355
40
40
.98843
1.01170
20
1
.90625
1.03493
59
21
.97756
1.02295
:;<>
I 41
.98901
1.01112
19
2
.96681
1.0^33
58
22
.97813
1.02236
:•«
42
.98958
1.01053
18
3
.96738
1.03372
57
23
.97870
1.02176
37
43
.99016
1.00994
17
4
.90794
1.03312
56
24
.97927
1.02117
3<>
44
.99073
1.00935
16
5
.96850
1.03252
55
25
.97984
1.02057
35
45
.99131
1.00876
15
6
.96907
1.03192
54
26
.98041
1.01998
34
46
.99189
1.00818
14
7
.96963
1.03132
53
•27
.98098
1.01939
33
47
.99247
1.00759
13
8
.97020
1.03072
52
28
.98155
1.01879
32
48
.99304
1.00701
12
9
.97076
1.03012
51
29
.98213
1.01820
31
49
.99362
1.00642
11
10
.97133
1.02952
50
30
.98270
1.01761
ao
50
.99420
1.00583
10
11
.97189
1.02892
49
31
.9&S27
1.01702
20
51
.99478
1.00525
9
12
.97246
1.02832
48
32
.98384
1.01642
28
52
.99536
1.00467
8
13
.97302
1.02772
47
33
.98441
1.01583
27
53
.99594
1.00408
7
14
.97359
1.02713
46
34
.98499
1.01524
2(5
54
.99652
1.00350
6
15
.97416
1.02653
45
35
.98556
1.01465
25
55
.99710
1.00291
5
16
.97472
1.02593
44
36
.98613
1.01406
24
50
.99768
1.00233
4
1?
.97529
1.02533
43
37
.98671
1.01347
23
57
.99826
1.00175
3
18
.97586
1.02474
42
38
.98728
1.01288
22
58
.99884
1.00116
2
19
.97643
1.02414
41
39
.98786
1.01229
21
59
.99942
1.00058
1
20
.97700
1.02355
40
.40
.98813
1.01170
20
60
1.00000
1.00000
0
/
Cotang
Tang
/
/
Cotang
Tang
1
/
/
Cotang
Tang
/
4
5°
4
5°
4
5°
246
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
0
0
1
0
2
0
3
o
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.00000
.00000
.00015
.00015
.00061
.00061
.00137
.00137
0
1
.00000
.00000
.00016
.00016
.00062
.00062
.00139
00139
1
2
.00000
.00000
.00016
.00016
.00063
.00063
.00140
.00140
2
3
.00000
.00000
.00017
.00017
.00064
.00064
.00142
.00142
3
4
.00000
.00000
.00017
.00017
.00065
.00065
.00143
.00143
4
5
.00000
.00000
.00018
.00018
.00066
.00066
.00145
.00145
5
6
.00000
.00000
.00018
.00018
.00067
.00067
.00146
.00147
6
7
.00000
.00000
.00019
.00019
.00068
.00068
.00148
.00148
7
8
.00000
.00000
.00020
.00020
.00069
.00069
.00150
.00150
8
9
.00000
.00000
.00020
.00020
.00070
.00070
.00151
.00151
9
10
.00000
.00000
.00021
.00021
.00071
.00072
.00153
.00153
10
11
.00001
.00001
.00021
.00021
.00073
.00073
.00154
.00155
11
12
.00001
.00001
.00022
.00022
.00074
.00074
.00156
.00156
12
13
.00001
.00001
.00023
.00023
.00075
.00075
.00158
.00158
13
14
.00001
.00001
.00023
.00023
.00076
.00076
.00159
.00159
14
15
.00001
.00001
.00024
.00024
.00077
.00077
.00161
.00161
15
16
.00001
.00001
.00024
.00024
.00078
.00078
.00162
.00163
ia
17
.00001
.00001
.00025
.00025
.00079
.00079
.00164
.00164
17
18
.00001
.00001
.00026
.00026
.00081
.00081
.00166
.00166
18
19
.00002
.00002
.00026
.00026
.00082
.00082
.00168
.00168
19
20
.00002
.00002
.00027
.00027
.00083
.00083
.00169
.00169
20
21
.00002
.00002
.00028
.00028
.00084
.00084
.00171
.00171
21
22
.0000.3
.0000.3
.00028
.00028
.00085
.00085
.00173
.00173
22
23
.00002
.00002
.00029
.00029
.00087
.00087
.00174
.00175
23
24
.00002
.00002
.00030
.00030
.00083
.00088
.00176
.00176
24
25
.00003
.00003
.00031
.00031
.00089
.00089
.00173
-.00178
25
20
.00003
.00003
.00031
.00031
.00090
.00090
.00179
.00180
26
27
.00003
.00003
.00032
.00032
.00091
.00091
.00181
.00182
27
23
.00003
.00003
.00033
.00033
.00093
.00093
.00183
.00183
28
29
.00004
.00004
.00034
.00034
.00094
.00094
.00185
.00185
29
30
.00004
.00004
.00034
.00034
.00095
.00095
.00187
.00187
30
31
.00004
.00004
.00035
.00035
.00096
.00097
.00188
.00189
31
32
.00004
.00004
.00036
.00036
.00098
.00098
.00190
.00190
32
33
.00005
.00005
.00037
.00037
.00099
.00099
.00192
.00192
33
34
.00005
.00005
.00037
.00037
.00100
.00100
.00194
.00194
34
35
.00005
.00005
.00038
.00038
.00102
.00102
.00196
.00196
35
36
.00005
.00005
.00039
.00039
.00103
.00103
.00197
.00193
33
37
.00006
.00006
.00040
.00040
.00104
.00104
.00199
.00200
37
33
.00006
.00006
.00041
.00041
.00106
.00105
.00201
.00201
38
3D
.00006
.00006
.00041
.00041
.00107
.00107
.00203
.00203
39
40
.00007
.00007
.00042
.00042
.00108
.00108
.00205
.00205
40
41
.00007
.00007
.00043
.00043
.00110
.00110
.00207
.00207
41
42
.00007
.00007
.00044
.00044
.00111
.00111
.00208
.00209
42
43
.00008
.00008
.00045
.00045
.00112
.00113
.00210
.00211
43
44
.00008
.00008
.00046
.00046
.00114
.00114
.00212
.00213
41
45
.00009
.00009
.00047
.00047
.00115
.00115
.00214
.00215
45
43
.00009
.00009
.00048
.00048
.00117
.00117
.00216
.00216
46
47
.00009
.00009
.00048
.00048
.00118
.00118
.00218
.00213
47
48
.00010
.00010
.00049
.00049
.00119
.00120
.00220
.00220
48
49
.00010
.00010
.00050
.00050
.00121
.00121
.00222
.00222
49
50
.00011
.00011
.00051
.00051
.00122
.00122
.00224
.00224
50
51
.00011
.00011
.00052
.00052
.00124
.00124
.00226
.00226
51
52
.00011
.00011
.00053
.00053
.00125
.00125
.00228
.00223
52
53
.00012
.00012
.00054
.00054
.00127
.00127
.00230
.00230
53
54
.00012
.00012
.00055
.00055
.00128
.00128
.00232
.00232
54
55
.00013
.00013
.00056
.00056
.00130
.00130
.00234
.00234
55
56
.00013
.00013
.00057
.00057
.00131
.00131
.00236
.00236
56
57
,00014
.00014
.00058
.00058
.00133
.00133
.00238
.00238
57
58
.00014
.00014
.00059
.00059
.00134
.00134
.00240
.00240
58
59
.00015
.00015
.00060
.00060
.00136
.00136
.00242
.00242
59
60
.00015
.00015
.00061
.00061
.00137
.00137
.00244
.00244
60
247
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS
4°
5°
6«
7°
Vers.
Ex. sec.
Vers. , Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.00244
.00244
.00381
.00382
.00548
.00551
.00745
.00751
0
1
.00246
.00246
.00383
.00385
.00551
.00554
.00749
.00755
1
2
.00248
.00248
.00386
.00387
.00554
.00557 i
.00752
.(W58
2
3
.00250
.00250
.00388
.00390
.00557
. 00500 !
.00756
.007'62
3
4
.00252
.00252
.00391
.00392
.00560
.00563 1
.00760
.00765
4
5
.00254
.00254
.00393
.00395
.00563
.00566 i
.00763
.00769
5
6
.00256
.00257
.00396
.00397
.00566
.00569
.00767
.00773
6
7
.00258
.00259
.00398
.00400
.00569
.00573
.00770
.00776
7
8
.00260
.00261
.00401
.00403
.00572
.00576
.00774
.00780
8
9
.00262
.00263
.00404
.00405
.00576
.00579
.00178
.00784
9
10
.00264
.00265
.00406
.00408
.00579
.00582
.00781
.00787
10
11
.00266
.00267
.00409
.00411
.00582
.00585
.00785
.00791
11
12
.00269
.00269
.00412
.00413
.00585
.00588
.00789
.00795
12
13
.00271
.00271
.00414
.00416
.00588
.00592
.00792
.00799
13
14
.00273
.00274
.00417
.00419
.00591
.00595
.00796
.00802
14
15
.00275
.00276
.00420
.00421
.00594
..00598
.00800
.00806
15
16
.00277
.00278
.00422
.00424
.00598
.00601
.00803
.00810
16
17
.00279
.00280
.00425
.00427
.00601
.00604
.00807
.00813
17
18
.00281
.00282
.00428
.00429
.00604
.00608
.00811
.00817
18
19
.00284
.00284
.00430
.00432
.00607
.00611
.00814
.00821
19
20
.00286
.00287
.00433
.00435
.00610
.00614
.00818
.00825
20
21
.00288
.00289
.00435
.C0438
.00614
.00617
.00822
.00828
21
22
.00290
.00291
.00438
.00440
.00617
.00621
.00825
.00832
22
23
.00293
.00293
.00441
.00443
.00620
.00624
.00829
.00836
23
24
.00295
.00296
.00444
.00440
.00623
.00627
.00833
.00840
24
25
.00297-
.00298
.00-447
.00449
.00628
.00630
.00837
.00844
25
26
.00299
.00300
.00449
.00451
.00630
.C0634
.C0840
.00848
26
27
.00301
.00302
.00452
.00454
.00633
.00637
.00844
.00851
27
28
.00304
.00305
.00455
.00457
.00636
.00640
.00848
.C0855
28
29
.00306
.00307
.00458
.00460
.00640
.00644
.00852
.00859
29
80
.00308
.00309
.00460
.004G3
.00643
.C0647
.00856
.00863
30
31
.00311
.00312
.00463
.00465
.00646
.00650
.00859
.00867
31
32
.00313
.00314
.00466
.00468
.00649
.00654
.00863
.00871
32
33
.00315
.00316
.00469
.00471
.00653
.00657 i
.00867
.00875
33
34
.00317
.00318
.00472
.00474
.00656
.00660
.00871
.00878
34
35
.00320
.00321
.00474
.00477
.C0659
.00664
.00875
.00882
35
36
.00322
.00323
.00477
.00480
.00663
.00667
.00878
.00886
36
37
.00324
.00326
.00480
.C0482
.00666
.00671
.00882
.00890
37
38
.00327
.00328
.00483
.00485
.00669
.00674
.00886
.00894
38
39
.00329
.00330
.00486
.00488
.00673
.00677
.00890
.00898
39
40
.00332
.00333
.00489
.00491
.00676
.00681
.00894
.00902
40
41
.oo&34
.00335
.00492
.00491
.00680
.00684
.00898
.00906
41
42
.00336
.00337
.00494
.00497
.00683
.00688 !
.C0902
.00910
42
43
.00339
.00340
.00497
.00500
.00686
.00691
.00906
.00914
43
44
.00341
.00342
.00500
.00503
.00690
.00695 !
.00909
.00918
44
45
.00343
.00345
.00503
.00506
.00693
.00698
.00913
.00922
45
46
.00346
.00347
.00506
.00509
.00697
.00701
.00917
.00926
46
47
.00348
.00350
.00509
.00512
.00700
.00705
.00921
.00930
47
48
.00351
.00352
.00512
.00515
.00703
.00708
.00925
.00934
48
49
.00353
.00354
.00515
.00518
.00707
.00712 I
.00929
.00938
49
50
.00356
.00357
.00518
.00521
.00710
.00715
.00933
.00942
50
51
.00358
.00359
.00521
.00524
.00714
.00719 !
.00937
.00946
51
52
.00361
.003(52
.00524
.00527
.00717
.00722
.00941
.00950
52
53
.00363
.00364
.00527
.00530
.00721
.00726
.00945
.00954
53
54
.00365
.00367
.00530
.00533
.<0724
.00730
.00949
.00958
54
55
.00368
.00369
.00533
.00536
.00728
.00733
.00953
.00962
55
56
.00370
.00372
.00536
.00539
.00731
.007'37
.00957
.00966
56
57
.00373
.00374
.00539
.00542
.00735
.00740
.00961
.00970
57
58
.00875
.00377
.00542
.00545
.00738
.00744
.00965
.00975
58
59
.00378
. .00379
.00545
.00548
.00742
.00747
.00969
.00979
59
60
.00381
.00382
.00548
.00551
.007'45
.00751
.00973 | .00983
60
248
XVII.-NATURAL VERSED SINES AND EXTERNAL SECANTS.
8°
9°
10°
11°
/
Vers.
Ex. sec.
Vers.
Sx. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.00973
.00983 !
.01231
.01247
.01519
.01543
.01837
.01872
0
1
.00977
.00987
.01236
.01251
.01524
.01548
.01843
.01877
1
2
.00981
.00991
.01240
.01256
.01529
.01553
.01848
.01883
2
3
.00985
.00995
.01245
.01261
.01534
.01558
.01854
.01889
3
4
.00989
.00999
.01249
.01265
.01540
.01564
.01860
.01895
4
5
.00994
.01004
.01254
.01270
.01545
.01569
.01865
.01901
5
6
.00998
.01008
.01259
.01275
.01550
.01574
.01871
.01906
6
7
.01002
.01012
.01263
.01279
.01555
.01579
.01876
.01912
7
8
.01006
.01016
.01268
.01284
.01560
.01585
.01882
.01918
8
9
.01010
.01020
.01272
.01289
.01565
.01590
.01888
.01924
9
10
.01014
.01024
.01277
.01294
.01570
.01595
.01893
.01930
10
11
.01018
.01029
.01282
.01298
.01575
.01601
.01899
.01936
11
12
.010.22
.01033
.01286
.01303
.01580
.01606
.01904
.01941
12
13
.01027
.01037
.01291
.01308
.01586
.01611
.01910
.01947
13
14
.01031
.01041
.01296
.01313
.01591
.01616
.01916
.01953
14
15
.01035
.01046
.01300
.01318
.01596
.01622
.01921
.01959
15
16
.01039
.01050
.01305
.01323
.01601
.01627
.01927
.01965
16
17
.01043
.01054
.01310
.01327
.01606
.01633
.01933
.01971
17
18
.01047
.01059
.01314
.01332
.01612
.01638
.01939
.01977
18
19
.01052
.01063 i
.01319
.01337
.01617
.01643
.01944
.01983
19
20
.01056
.01067
.01324
.01342
.01622
.01649
.01950
.01989
20
21
.01000
.01071
.01329
.01346
.01627
.01654
.01956
.01995
21
22
.01064
.01076
.01333
.01351
i .01632
.01659
.01961
.02001
22
23
.01069
.01030
.01338
.01356
.01638
.01665
.01967
.02007
23
24
.01073
.01084
.01343
.01361
.01643
.01670
.01973
.02013
24
25
.01077
.01089
.01348
.01366
.01648
.01676
.01979
.02019
25
26
.01081
.01093
.01352
.01371
.01653
.01681
.01984
.02025
26
27
.01086
.01097
.01357
.01376
.01659
.01687
.01990
.02031
27
28
.01090
.01102
.01362
.01381
.01664
.01692
.01996
.02037
28
29
.01094
.01106
.01367
.01386
.01669
.01698
.02002
.02043
29
30
.01098
.01111
.01371
.01391
.01675
.01703
.02008
.02049
30
31
.01103
.01115
.01376
.01395
.01680
.01709
.02013
.02055
31
32
.01107
.01119
.01331
.01400
.01685
.01714
.02019
.02061
32
33
.01111
.01124
.01383
.01405
.01690
.01720
.02025
.02067
as
34
.01116
.01128
.01391
.01410
.01696
.01725
.02031
.02073
34
35
.01120
.01133
.01396
.01415
.01701
.01731
.02037
.02079
35
36
.01124
.01137
.01400
.01420
.01706
.01736
,02042
.02085
36
37
.01129
.01142
.01405
.01425
.01712
.01742
.02048
.02091
37
33
.01133
.01146
.01410
.01430
.01717
.01747
.02054
.02097
38
39
.01137
.01151
.01415
.01435
.01723
.01753
.02000
.02103
39
40
.01142
.01155
.01420
.01440
.01728
.01758
.02066
.02110
40
41
.01146
.01160
.01425
.01445
.01733
.01764
.02072
.02116
41
42
.01151
.01164
.01430
.01450
.01739
.01769
.02078
.02122
42
43
.01155
.01169
.01435
.01455
.01744
.01775
.02084
.02128
43
44
.01159
.01173
.01439
.01461
.01750
.01781
.02090
.02134
44
45
.01164
.01178
.01444
.01466
.01755
.01786
.02095
.02140
45
46
.01168
.01182
.01449
.01471
.01760
.01792
.02101
.02146
46
4?
.01173
.01187
.01454
•01476
.01766
.01798
.02107
.02153
47
48
.01177
.01191
.01459
.01481
.01771
.01803
.02113
.02159
48
49
.01182
.01196
.01464
.01486
.01777
.01809
.02119
.02165
49
50
.01186
.01200
.01469
.01491
.01782
.01815
.02125
.02171
50
51
.01191
.01205
.01474
.01496
.01788
.01820
.02131
.02178
51
52
.01195
.01209
.01479
.01501
.01793
.01826
.02137
.02184
52
53
.01200
.01214
.01484
.01506
.01799
.01832
.02143
.02190
53
54
.01204
.01219
.01489
.01512
.01804
.01837
.02149
.02196
54
55
.01209
.01223
.01494
.01517
.01810
.01843
.02155
.02203
55
56
.01213
.01228
.01499
.01522
.01815
.01849
.02161
.02209
56
57
.01218
.012:33
.01504
.01527
.01821
.01854
.02167
.02215
57
58
.01222
.01237
.01509
.01532
.01826
.01860
.02173
.02221
58
59
.01227
.01242
.01514
.01537
.01832
.01866
.02179
.02228
59
60
.01231
.01247
.01519
.01543
.01837
.01872
.02185
.02234
60
249
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
/
12°
13°
14°
15°
/
Vers.
Ex. sec. |
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.02185
.02234
.02563
.02630
.02970
.03061
.03407
.03528
0
1
.02191
.02240
.02570
.02637
.02977
.03009
.03415
.03530
1
2
.02197
.02247
.02576
.02644
.02985
.03076
.03422
.03541
2
3
.02203
.02253
.02583
.02651
.02992
.03084
.03430
.03552
3
4
.02210
.02259
.02589
.02658
.02999
.03091
.03438
.03560
4
5
.02216
.02266
.02596
.02665
.03006
.03099 i
.03445
.03508
5
6
.02222
.02272
.02602
.02672
.03013
.03106 i
.03453
.03576
6
7
.02228
.02279
.02609
.02679
.03020
.03114
.03400
.03584
7
8
.02234
.02285
.02616
.C2G86
.03027
.03121
.03408
.03592
8
9
.02240
.02291
.02622
.02693
.03034
.03129
.03476
.03601
9
10
.02246
.02298
.02629
.02700
.03041
.03137
.03483
.03009
10
11
.02252
.02304
.02635
.02707
.03048
.03144
.03491
.03017
11
12
.02258
.02311
.02042
.02714
.03055
.03152 j
.03498
.03025
12
13
.02205
.02317
.02649
.02721
.03063
.03159
.03506
.03033
13
14
.02271
.02323
.02655
.02728
.03070
.03167
.0-3514
.03042
14
15
.02277
.02330
.02662
.02735
.03077
.03175
.03521
.03050
15
16
.02283
.02336
.02669
.02742
.03084
.03182
.03529
.03058
16
17
.02289
.02343
.02675
.02749
.03091
.03190
.03537
.03666
17
18
.02295
.02349
.02682
.02756
.03098
.03198
.03544
.03674
18
19
.02302
.02356
.02689
.02763
.03106
.03205
.03552
.03083
19
20
.02308
.02362
.02696
.02770
.03113
.03213
.03560
.03091
20
21
.02314
.02369
.02702
.02777
.03120
.03221
.03567
.03099
21
22
.02320
.02375
.02709
.02784
.03127
.03228
.03575
.03708
22
23
.02327
.02382
.02716
.02791
.03134
.03236
.03583
.03716
23
24
.02333
.02388
.02722
.02799
.03142
.03244
.03590
.03724
24
25
.02339
.02395
.02729
.02806
.03149
.03251
.03598
.03732
25
26
.02345
.03402
.02736
.02813
.03156
.03259
.03006
.03741
26
27
.02352
.02408
.02743
.02820
.03163
.03267
.03614
.03749
27
28
.02358
.02415
.02749
.02827
.03171
.03275
.03621
.03758
28
29
.02364
.02421
.02756
.02834
.03178
.03282
.03629
.03766
29
30
.02370
.02428
.02763
.02842
.03185
.03290
.03037
.03774
30
31
.02377
.02435
.02770
.02849
.03193
,03298
.03645
.03783
31
32
.02383
.02441
.02777
.02856
.03200
.03306
.03053
.03791
32
33
.02389
.02448
.02783
.02803
.03207
.03313
.03000
.03799
33
34
.02396
.02454
.02790
.02870
.03214
.03321
.03008
.03808
34
S5
.02402
.02461
.02797
.02878
.03222
.03329
.03676
.03816
35
36
.02408
.02468
.02804
.02885
.03229
.03337
.03684
.03825
36
37
.02415
.02474
.02811
.02892
.03236
.03345
.03692
.03833
37
38
.02421
.02481
.02818
.02899
.03244
.03353
.03099
.03842
38
39
.02427
.02488
.02824
.02907
.03251
.03360
.03707
.08850
by
40
.02434
.02494
.02831
.02914
.03258
.03368
.03715
.03858
40
41
.02440
.02501
.02838
.02921
.03266
.03376
.03723
.03867
41
42
.02447
.02508
.02845
.02928
.03273
.03384
.03731
.03875
42
43
.02453
.02515
.02852
.02936
.03281
.03392
.03739
.03884
43
44
.02459
.02521
.02859
.02943
.03288
.03400
.03747
.03892
44
45
.02466
.02528
.02866
.02950
.03295
.03408
.03754
.03901
45
46
.02472
.02535
.02873
.02958
.03303
.03416
.03702
.03909
46
47
.02479
.02542
.02880
.02965
.03310
.03424
.03770
.03918
47
48
.02485
.02548
.02887
.02972
.03318
.03432
.03778
.03927
48
49
.02492
.02555
.02894
.02980
.03325
.03439
.03786
.03935
49
50
.02498
.02562
.02900
.02987
.03333
.03447
.03794
.03944
50
51
.02504
.02569
.02907
.02994
.03340
.03455
.03802
.03952
51
52
.02511
.02576
.02914
.03002
.03347
.03463
.03810
.03961
52
53
.02517
.02582
.02921
.03009
.03355
.03471
.03818
.03969
53
54
.02524
.02589
.02928
.03017
.03362
.03479
.03826
.03978
54
55
.02530
.02596
.02935
.03024
.03370
.03487
.03834
.03987
55
56
.02537
.02603
.02942
.03032
.03377
.03495
.03842
.03995
56
57
.02543
.02610
.02949
.03039
.03385
.03503
.03850
.04004
57
58
.02550
.02617
.02956
.03046
.03392
.03512
.03858
.04013
58
59
.02556
.02624
.02963
.03054
.03400
.03520
.03806
.04021
59
60
.02563
.02030
.02970
.03061
.03107
.03528
.03874
.04030
60
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS,
16
0
M
1
18
t°
li
>°
Vers. ;
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
|
0
.03874
.04030 :
.04370
.04569
.04894
.05146
.05448
.05762
0
1
.03882
.04039
.04378
.04578
.04903
.05156
.05458
.05773
1
2
.03890
.04047
.04387
.04588
.04912
.05166
.05467
.05783
2
3
.03898
.04056
.04395
.04597
.04921
.05176
.05477
.05794
3
4
.03906
.04065
.04404
.04600
.04930
.05186
.05486
.05805
4
5
.03914
.04073
.04412
.04616
.04939
.05196
.05496
.05815
5
6
.03922
.04082
.04421
.04625
.04948
.05206
.05505
.05826
6
7
.03930
.04091
.04429
.04635
.04957
.05216
.05515
.05836
7
8
.03938
.04100
.04438
.04644
.04907
.05226
.05524
.05847
8
9
.03946
.04108
.04446
.04653
.04976
.05S36
.05534
.05858
9
10
.03954
.04117
.04455
.04663
.04985
.05246
.05543
.05869
10
11
.03963
.04126
.04464
.04672
.04994
.05256
.05553
.05879
11
12
.03971
.04135
.04472
.04682
.05003
.05266
.05562
.05890
12
13
.03979
.04144
.04481
.04691
.05012
.05276
.05572
.05901
13
14
.03987
.04152
.04489
.047'00
.05021
.05286
.05582
.05911
14
15
.03995
.04161
.04498
.04710
.05030
.05297
.05591
.05922
15
1G
.04003
.04170
.04507
.04719
.05039
.05307
.05601
.05933
16
17
.04011
.04179
.04515
.04729
.05048
.05317
.05610
.05944
17
18
.04019
.04188
.04524
.04738
.05057
.05327
.05620
.05955
18
19
.04028
.04197
.04533
.04748
.05067
.05,337
.05630
.05965
19
20
.04036
.04206
.04541
.04757
.05076
.05347
.05639
.05976
20
21
.04044
.04214
.04550
.04767
.05085
.05357
.05649
.05987
21
22
.04052
.04223
.04559
.04776
.05094
.05367
.05658
.05998
22
23
.04060
.04232
.04567
.04786
.05103
.05378 !
.05668
.06009
23
21
.04069
.04241
.04576
.04795
.05112
.05388 !
.05678
.06020
24
25
.04077
.04250
.04585
.04805
.05122
.05398 !
.05687
.06030
25
26
.04085
.04259
.04593
.04815
.05131
.05408 i
.05697
.06041
26
27
.04093
.04268
.04602
.04824
.05140
.05418 i
.05707
.06052
27
28
.04102
.04277
.04611
.04834
.05149
.05429 !
.C5716
.06063
28
.04110
.04286
.04620
.04843
.05158
.05439
.05726
.06074
29
30
.04118
.04295
.04628
.04853
.05168
.05449
.05736
.06085
30
31
.04126
.04304
.04637
.04863
.05177
.05460 !
.05746
.06096
31
32
.04135
.04313
.04646
.04872
.05186
.05470 !
.05755
.06107
32
33
.04143
.04322
.04655
.04882
.05195
.05480
.05765
.06118
33
34
.04151
.04331
.04663
.04891
.05205
.05490 j
.05775
.06129
34
35
.04159
.04340
.04672
.04901
.05214
.05501
.05785
.06140
35
36
.04168
.04349 !
.04681
.04911
.05223
.05511 |
.05794
.06151
36
37
.04176
.04358 1
.04690
.04920
.05232
.05521
.05804
.06162
37
38
.04184
.04367
.04609
.04930
.05242
.05532
.05814
.06173
38
39
.04193
.04376 :
.04707
.04940
.05251
.(5542
.05824
.06184
39
40
.04201
.04385
.04716
.0495J
.05260
.05552
.05833
.06195
40
41
.04209
.04394
.04725
.04959
.05270
.05563
.05843
.06206
41
42
.04218
.04403
.04734
.04969
.05279
.0557'3 ;
.05853
.06217
42
43
.04226
.04413
.04743
.0497-9
.05288
.05584
.05863
.06228
43
44
.04234
.04422
.04752
.04989
.05298
.05594
.05873
.06239
44
45
.04243
.04431
.04760
.04998
.05307
.05604
.05882
.06250
45
46
.04251
.04440
.04769
.05008
.05316
.05615
.05892
.06261
46
47
.04260
.04449
.04778
.05018
.05326
.05625
.05902
.06272
47
48
.04268
.04458
.04787
.05028
.05335
.05636 j
.05912
.06283
48
49
.04276
.04468
.04796
.05038
.05344
.05646
.05922
.06295
49
50
.04285
.04477
.04805
.05047
.05354
.05657 |
.05932
.06306
50
51
.04293
.04486
.04814
.05057
.05363
.05667
.05942
.06317
51
52
.04302
.04495
.04823
.05067
.05373
.05678
.05951
.06328
52
53
.04310
.04504
.04832
.05077
.05382
.05688
.05961
.06339
53
54
.04319
.04514
.04841
.05087
.05391
.05699
.05971
.06350
54
55
.04327
.04523
.04850
.05097
.05401
.05709
.05981
.06362
55
56
.04336
.04532
.04858
.05107
.05410
.05720
.05991
.06373
56
57
.04344
.04541
.04867
.05116
.05420
.05730
.06001
.06384
57
58
.041353
.04551
.04876
.05126
.05429
.05741
.06011
.06895
58
59
.04361
.04560
.04885
.05136
.05439
.05751
.06021
.06407
59
60
.04370
.04569
.04894
.05146
.05448
.05762
.06031
.06418
60
251
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS,
/
20°
21°
22°
23°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.06031
.06418
.06042
.07115
.07282
.07853
.07950
.08636
0
1
.06041
.06429
.06652
.07126
.07293
.07866
.07961
.08649
1
2
.06051
.06440
.06663
.07138
.07303
.07879
.07972
.08663
2
3
.06061
.06452
.06673
.07150
.07314
.07892
.07984
.08676
3
4
.06071
.06463
.06684
.07162
.07325
.07904
.07995
.08090
4
5
.06081
.06474
.06694
.07174
.07336
.07917
.08006
.08703
5
6
.06091
.06486
.06705
.07186
.07347
.07930
.08018
.08717
6
7
.06101
.06497
.06715
.07199
.07358
.07943
.08029
.08730
7
8
.06111
.06508
.00726
.07211
.07369
.07955
.08041
.08744
8
9
.06121
.06520
.00736
.07-<23
.07380
.07968
.08052
.08757
9
10
.06131
.06531
.00747
.07235
.07391
.07981
.08004
.08771
10
11
.06141
.06542
.06757
.07247
.07402
.07094
.08075
.08784
11
12
.06151
.06554
.06768
.07259
.07413
.08006
.08080
.08798
12
13
.06161
.06565
.0677'8
.07271
.07424
.08019
.08098
.08811
13
14
.06171
.06577
.06789
.07283
.07435
.08032
.08109
.08825
14
15
.06181
.06588
.06799
.07295
.07446
.08045
.08121
.08839
15
16
.06191
.00600
.06810
.07307
.07457
.08058
.08132
.08852
16
17
.06201
.06611
.06820
.07320
.07468
.08071
.08144
.08866
17
18
.06211
.06622
.06831
.07332
.07479
.08084
.08155
.08880
18
19
.06221
.06634
.06841
.07344
.07490
.08097
.08167
.08893
19
20
.06231
.06645
.06852
.07356
.07501
.08109
.08178
.08907
20
21
.00241
.06657
.06863
.07368
.07512
.08122
.08190
.08921
21
22
.06252
.06668
.06873
.07380
.07523
.08135
.08201
.08934
22
23
.06262
.06680
.06884
.07393
.07534
.08148
.08213
.08948
23
24
.06272
.06691
.06894
.07405
.07545
.08161
.08225
.08962
24
25
.06282
.05703
.06905
.07417
.07556
.08174
.08236
.08975
25
26
.06292
.06715
.06916
.07429
.07568
.08187
.08248
.08989
26
27
.06302
.06726
.06926
.07442
.07579
.08200
.08259
.09003
27
28
.06312
.06738
.06937
.07454
.07590
.08213
.08271
.09017
23
29
.06323
.06749
.06948
.07466
.07601
.08226
.08282
.09030
20
80
.06333
.00761
.06958
.07479
.07612
.08239
.08294
.09044
30
31
.06343
.00773
.06969
.07491
.07623
.08252
.08306
.09058
SI
32
.06353
.06784
.06980
.07503
.07634
.08265
.08317
.09072
32
as
.06363
.06796
.06990
.07516
.07645
.08278
.08329
.09086
33
34
.06374
.06807
.07001
.07528
.07657
.08291
.08340
.09099
34
35
.06384
.06819
.07012
.07540
.07668
.08305
.08352
.09113
35
36
.06394
.06831
.07022
.07553
.07679
.08318
.08364
.09127
33
37
.06404
.06843
.07033
.07565
.07690
.08331
.08375
.09141
37
38
.06415
.06854
.07044
.07578
.07701
.08344,
.08387
.09155
38
39
.06425
.06866
.0?'055
.07590
.07713
.08357
.08399
.09169
39
40
.06435
.06878
.07065
.07002
.07724
.08370
.08410
.09183
40
41
.06445
.06889
.07076
.07615
.07735
.08383
.08422
.09197
41
42
.06456
.06901
.07087
.07627
.07746
.08397
.084:34
.09211
42
43
.06466
.06913
.07098
.07640
.07757
.08410
.08445
.09224
43
44
.06476
.06925
.07108
.07652
.07769
.08423
.08457
.09238
44
45
.06488
.06936
.07119
.07665
.07780
.08430
.08469
.09252
45
46
.06497
.06948
.07130
.07677
.07791
.08449
.08481
.09266
46
47
.06507
.06960
.07141
.07690
.07802
.08403
.08492
.09280
47
48
.06517
.06972
.07151
.07702
.07814
.08476
.08504
.09294
48
49
.06528
.06984
.07162
.07715
.07825
.08489
.08516
.09308
49
50
.06538
.06995
.07173
.07727
.07836
.08503
.08528
.09323
50
51
.06548
.07007
.07184
.07740
.07848
.08516
.08539
.09337
51
52
.06559
.07019
.07195
.07752
.07859
.08529
.08551
.09351
52
53
.06569
.07031
.07206
.07765
.07870
.08542
.08563
.09365
53
54
.06580
.07043
.07216
.07778
.07881
.08556
.08575
.09379
54
55
.06590
.07055
07227
.07790
.07893
.08569
.08586
.09393
.55
56
.06600
.07067
! 07238
.07803
.07904
.08582
.08598
.09407
56
57
.06611
.07079
.07249
.07816
.07915
.08596
.08610
.09421
57
58
.06621
.07091
.07260
.07828
.07927
.08609
.08622
.09435
58
59
.06632
.07103
.07271
.07841
.07938
.08023
.08634
.09449
59
60
.06642
.07115
.07282
.07853
.0795J
.08636
.08645
.09464
60
262
TABLE XVIL— NATURAL VERSED SINES AND EXTERNAL SECANTS.
21°
25°
26°
27°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.08645
.09464
.09369
.10338
.10121
.11260
.10899
.12233
0
1
.08657
.09478
.09382
.10353
.10133
.11276
.10913
.12249
1
2
.08669
.09492
.09394
. 10368
. 10146
.11292
.10926
.12266
2
3
.08681
.09506
.09406
.10383
.10159
.11308
.10939
.12283
3
4
.08693
.09520
.09418
.10398
.10172
.11323
.10952
.12291)
4
5
.08705
.09535
.09431
.10413
.10184
.11339
.10965
.12316
5
6
.08717
.09549
.09443
.10428
.10197
.11355
.10979
.12333
6
7
.08728
.09563
.09455
.10443
.10210
.11371
.10992
.12349
7
8
.08740
.09577
.09468
.10458 1
.10223
.11387
.11005
.12366
8
9
.08752
.09592
.09480
.10473
.10236
.11403
.11019
.12383
9
10
.08764
.09606
.09493
.10488
.10248
.11419
.11032
.12400
10
11
.08776
.09620
.09505
.10503
.10261
.11435
.11045
.12416
11
12
.0878,8
.09635
.09517
.10518
.10874
.11451
.11058
.12433
12
13
08800
.09649
.09530
.10533
.10287
.11467
.11072
.12450
13
14
! 08812
.09663
.09542
.10549
.10300
.11483
.11085
.12467
14
15
.08824
.09678
.09554
.10564
.10313
.11499
.11098
.12484
15
16
.08836
.09692
.09567
.10579
.10326
.11515
.11112
.12501
16
17
.08848
.09707
.09579
.10594
.10338
.11531
.11125
.12518
17
18
.08860
.09721
.09592
.10609
.10351
.11547
.11138
.12534
18
19
.08872
.09735
.09604
.10625
.10304
.11563
.11152
.12551
19
20
.08884
.09750
.09617
.10640
.10377
.11579
.11165
.12568
20
21
.08896
.09764
.09629
.10655
.10390
.11595
.11178
.12585
2t
22
.08908
.09779
.09642
.10670
.10403
.11611
.11192
.12602
22
23
.08920
.09793
.09654
.10686
.10416
.11627
.11205
.12619
23
24
.08932
.09808
.09666
.10701
.10429
.11643
.11218
.12636
24
25
.08944
.09822
.09679
.10716
.10442
.11659
.11232
.12653
25
26
.08956
.09837
.09691
.10731
.10455
.11675
.11245
.12670
26
27
.08968
.09851
.09704
.10747
.10468
.11691
.11259
.12687
27
28
.08980
.09866
.09716
.10762
.10481
.11708
.11272
.12704
28
29
.08992
.09880
.09729
.10777
.10494
.11724
.11285
.12721
29
30
.09004
.09895
.09741
.10793
.10507
.11740
.11299
.12738
30
31
.09016
.09909
.09754
.10808
.10520
.11756
.11312
.12755
31
32
.09028
.09924
.09767
.10824
.10533
.11772
.11326
. 12772
32
33
.09040
.09939
.09779
.10839
.10546
.11789
.11339
.12789
33
34
.09052
.09953
.09792
.10854
.10559
.11805
.11353
.12807
34
25
.09004
.09968
.09804
.10870
.10572
.11821
.11366
.12824
35
26
.09076
.09982
.09817
.10885
.10585
.11838
.11380
.12841
36
37
.09089
.09997
.09829
.10901
.10598
.11854
.11393
.12858
37
38
.09101
.10012
.09842
.10916
.10611
.11870
.11407
.12875
38
89
.09113
.10026
.09854
.10932
.10621
.11886
.11420
.12892
39
40
.C9125
.10041
.09807
.10947
.10637
.11903
.11434
.12910
40
41
.09137
.10055
.09880
.10963
.10650
.11919
.11447
.12927
41
43
.09149
.10071
.09892
.10978
.10663
.11036
.11461
.12944
42
43
.09161
.10085
.09905
.10994
.10676
.11952
.11474
.12961
43
44
.09174
.10100
.09918
.11009
.10689
.11968
.11488
.12979
44
45
.09186
.10115
.09930
.11025
.10702
.11985
.11501
.12996
45
46
.09198
.10130
.C9943
.11041
.10715
.12001
.11515
.13013
46
47
.09210
.10144
.09955
.11056
.10723
.12018
.11528
.13031
47
48
.09222
.10159
.09968
.11072
.10741
.12034
.11542
.13048
48
49
.09234
.10174
.09981
.11087
.10755
.12051
.11555
.13065
49
50
.09247
.10189
.09993
.11103
.10708
.12067
.11569
.13083
50
51
.09259
.10204
.10006
.11119
.10781
.12084
.11583
.13100
51
53
.09271
.10218
.10019
.11134
.10794
.1*3100
.11596
.13117
52
53
.09283
.10233
.10032
.11150
.10807
.12117
.11610
.13135
53
54
.09296
.10248
.10044
.11166
.10820
.12133
.11623
.13152
54
55
.09308
.10263
.10057
.11181
.10833
.12150
.11637
.13170
55
56
.09320
.10278
. 10070
.11197
.10847
.12166
.11651
.13187
56
57
.09332
.10293
.10082
.11213
.10860
.12183
.11664
.13205
57
58
.09345
.10308
.10095
.11229
.10873
.12199
.11678
.13222
58
59
.09357
.10323
.10108
.11244
.10886
.12216
.11692
.13240
59
60
.093(59
.10338
.10121
.11260
.10899
.12233
.11705
.13257
60
253
XVII.-NATURAL VERSED SINES AND EXTERNAL SECANTS.
28°
29°
30°
31°
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.11705
.13257
.12538
.14335
.13397
.15470
.14283
.16663
0
1
.11719
.13275
.12552
.14354
.13412
.15489
.14298
.16084
1
2
.11733
.13292
.12566
.14372
.13427
.15509
.14313
.16704
2
ft
.11746
.13310
.12580
.14391
.13441
.15528
.14328
.16725
3
4
.11760
.1,3327
.12595
.14409
' .13456
.15548
.14343
.16745
4
5
.11774
.13345
.12609
.14428
.1347'0
. 15567
.14358
.16706
5
6
.11787
.13362
.12623
.14446
.13485
.15587
.14373
.16786
6
7
.11801
.13380
.12637
.14465
.13499
.15006
.14388
.16806
7
8
.11815
.13398
.12651
.14483
.13514
.15626
.14403
.16827
8
9
.11828
.13415
.12665
.14502
.13529
.15645
.14418
.16848
9
10
.11842
.13433
.12679
.14521
.13543
.15665
.14433
.16868
10
11
.11856
.13451
.12694
.14539
.13558
.15684
.14449
.16889
11
12
.11870
.13468
.12708
.14558
.13573
.15704
.14464
.10909
12
13
.11888
.13486
.12722
.14576
.13587
.15724
.14479
.10930
13
14
.11897
.13504
.12736
.14595
.13602
.15743
.14494
.10950
14
15
.11911
.13521
.12750
.14614
.13016
.15763
.14509
.16971
15
16
.11925
.13539
.12765
.14632
.13631
.15782
.14524
.16992
16
17
.11938
.13557
.12779
.14651
.13646
. 15802
.14539
.17012
17
18
.11952
.13575
.12793
.14670
.13660
.15822
.14554
.17033
18
19
.11966
.13593
.12807
.14689
.18675
.15841
.14569
.17C54
19
20
.11980
.13610
.12822
.14707
.13690
.15801
.14584
.17075
20
21
.11994
.13628
.12836
.14726
.13705
.15881
, .14599
.17095
21
22
.12007
.13646
.12850
.14745
.13719
.15901
.14615
.17116
22
23
.12021
.13664
.12864
.14764
.13734
.15920
.14630
.17137
23
24
.12035
.13682
.12879
.14782
.13749
.15940
.14645
.17158
24
25
.12049
.13700
.12893
.14801
.13703
.15960
.14660
.17178
25
26
.12063
.13718
.12907
.14820
.13778
.15980
.14875
.17199
26
27
.12077
.13735
.12921
.14839
.13793
.16000
.14090
.17220
27
28
.12091
.13753
.12936
.14858
.13803
.10019
.14706
.17241
28
09
.12104
.13771
.12950
.14877
.13822
.10039
.14721
.17262
29
30
.12118
.13789
.12964
.14896
.13837
.10059
.14736
.17283
30
31
.12132
.13807
.12979
.14914
.13852
.10079
.14751
.17304
31
32
.12146
.13825
.12993
.14933
.13807
.10099
.14700
.17325
32
33
.12160
.13843
.13007
.14952
.13881
.10119
.14782
.17346
33
31
.12174
.13861
.13022
.14971
.13896
.10139
.14797
.17367
34
35
.12188
.13879
.13036
.14990
.13911
.10159
.14812
.17388
35
88
.12202
.13897
.13051
.15009
.13926
.10179
.14827
.17409
36
87
.12216
.13916
.13065
.15028
.13941
.10199
.14843
.17430
37
33
.12230
.13934
.13079
.15047
.13955
.10219
.14853
.17451
38
£9
.12244
.13952
.13094
.15066
.13970
.10239
.14873
.17472
39
40
.12257
.13970
.13108
.15085
.13985
.10259
.14888
.17493
40
41
.12271
.13988
.13123
.15105
.14000
.10279
.14904
.17514
41
42
.12285
.14006
.13137
.15124
.14015
.10209
.14919
.17535
42
43
.12299
.14024
.13151
.15143
.14030
.10319
.14934
.17556
43
44
.12313
.14042
.13166
.15162
.14044
.10339
.14949
.17577
44
45
.12327
.14061
.13180
.15181
.14059
.16359
.14905
.17598
45
46
.12341
.14079
.13195
.15200
.14074
.16380
.14960
.17620
46
47
.12355
.14097
.13209
.15219
.14089
.10400
.14995
.17641
47
48
.12369
.14115
.13223
.15239
.14104
.10420
.15011
.17062
43
49
.12383
.14134
.13238
.15258
.14119
.10440
.15025
.17083
43
50
.12397
.14152
.13252
.15277
.14134
.16460
.15041
.17704
50
51
.12411
.14170
.13267
.15296
.14149
.16481
.15057
.17726
51
52
.12425
.14188
.13281
.15315
.14164
.16501
.15072
.17747
52
53
.12439
.14207
.13296
.15335
.14179
.16521
.15087
.17768
53
54
.12454
.14225
.13310
.15354
. .14194
.16541
.15103
.17790
54
55
.12468
.14243
.1-3325
.15373
.14208
.16562
.15118
.17811
55
56
.12482
.14262
.13339
.15393
.14223
.16582
.15134
.17832
56
57
.12496
.14280
.1.3354
.15412
.14238
.16602
.15149
.17854
57
58
.12510
.14299
.13368
.15431
.14253
.16623
.15164
.17875
58
59
.12524
.14317
.13383
.15451
.14268
. 16643
.15180
.17896
59
60
.12538
.14335
.13397
.15470
.14283
.16663
.15195
.17918
60
254
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
32°
33°
34°
35°
/
Vers.
Ex. sec
Vers.
Ex. sec.
Vers.
Ex. sec
Vers.
Ex. sec
0
.15195
.17918
.16133
.19236
.17096
.20622
.18085
.22077
~o"
1
.15211
.17939
.16149
.19259
.17113
.20645
.18101
.22102
1
2
. 15226
.17961
.16165
.19281
.17129
.20669
.18118
.22127
2
3
.15241
.17982
.16181
.19304
.17145
.20693
.18135
.22152
3
4
. 15257
.18004
.16196
.19327
.17161
.20717
.18152
.22177
4
5
.15272
.18025
.16212
.19349
.17178
.20740
.18168
.22202
5
6
. 15288
.18047
.16228
.19372
.17194
.20764
.18185
.22227
6
7
. 15303
.18068
.16244
.19394
.17210
.20788
.18202
.22252
7
8
.15319
.18090
.16260
.19417
.17227
.20812
.18218
.22277
8
9
.15334
.18111
.16276
.19440
.17243
.20836
.18235
.22302
9
10
.15350
.18133
.16292
.19463
.17259
.20859
.18252
.22327
10
11
.15365
.18155
.16308
.194a5
.17276
.20883
.18269
.22352
11
12
.15381
.18176
.16324
.19508
.17292
.20907
.18286
.22377
12
13
.15396
.18198
.16340
.19531
.17308
.20931
.18302
.22402
13
14
.15413
.18220
.16355
.19554
.17325
.20955
.18319
.22428
14
15
.15427
.18241
.16371
.19576
.17341
.20979
.18336
.22453
15
16
.15443 .18263
.16387
.19599
.17357
.21003
.18353
.2247'8
16
17
.15458 .18285
.16403
.19622
.17374
.21027
.18369
.22503
17
18
.15174
.18307
.16419
.19645
.17390
.21051
.18386
.22528
18
19
.15489
.18328
.16435
.19668
.17407
.21075
.18403
.22554
19
20
.15505
.18350
.16451
.19691
.17423
.21099
.18420
.22579
20
21
.15520
.18372
.16467
.19713
.17439
.21123
.18437
.22604
21
22
.15536
.18394
.16483
.19786
.17456
.21147
.18454
.22629
22
23
.15552
. 18416
.16499
.19759
.17472
.21171
.18470
.22655
23
24
.15567
.18437
.16515
.19782
.17489
.21195
.18487
.22680
24
25
.15583
.18459
.16531
.19805
.17505
.21220
.18504
.22706
25
26
.15598
.18481
.16547
.19828
.17522
.21244
.18521
.22731
26
27
.15614
.18503
.16563
.19851
.17533
.21268
.18538
.22756
27
28
.15630
.18525
.16579
.19874
.17554
.21292
.18555 .22782
28
29
.15645
.18547
.16595
.19897
.17571
.21316
.18572 ! .22807
29
30
.15661
.18569
.16611
.19920
.17587
.21341
.18588
.22833
30
31
.15676
.18591
.16627
.19944
.17604
.21365
.18605
.22858
31
32
.15692
.18613
.16644
.19967
.17620
.21389
.18622
.22884
32
33
.15708
.18635
.16660
.19990
.17037
.21414
.18639
.22909
33
34
.157S3
.18657
.16676
.20013
.17653
.21438
.18656
.22935
34
35
.J573U
.18679
.16692 .20036
.17670
.21462
.18673
.22960
35
36
.15755
.18701
.16708
.20059
.17686
.21487
.18690
.22986
36
37
.15770
.18723
.16724
.20083
.17703
.21511
.18707
.23012
37
38
.15786
.18745
.16740 j .20106
.17719
.21535
.18724
.23037
38
39
.15802
.18767
.16756
.20129
.17736
.21560
.18741
.23003
39
40
.15818
.18790
.16772
.20152
.17752
.21584
.18758
.23089
40
41
.15833
.18812
.16788
.20176
.17709
.21609
.18775
.23114
41
42
.15849
.18834
.16805
.20193
.17736
.21033
.18792
.23140
42
43
.15865
.18856
.16821
.20222
.17802
.21658
.18809
.213166
43
44
.15880
.18878
.16837
.20246
.17819
.21682
.18826
.23192
44
45
.15898
.18901
.16853
.20269
. 17cf<35
.21707
.18843
.23217
45
46
.15912
.18923
.16869
.20292
.17852
.21731
.18860
.23243
46
47
.15923
.18945
.16885
.2C316
.17808
.21756
.18877
.23269
47
48
.15943
.18967
.16902
.20339
.17885
.21781
.18894
.23295
48
49
.15959
.18990
.16918
.20363
.17902
.21805
.18911
.23321
49
50
.15975
.19012
.16934
.20386
.17918
.21830
.18928
.23347
50
51
.15991
.19034
.16950
.20410
.17935
.21855
.18945
.23373
51
52
.16006
.19057
.16906
.20433
.17952
.21879
.18962
.23399
52
53
. 16022
.19079
.16983
.20457
.17968
.21904
.18979
.23424
53
54
.16038
.19102
.16909
.20480
.17985
.21929
.18996
.23450
54
55
.16054
.19124
.17015
.20501
.18001
.21953
.19013
.23476
55
56
.16070
.19146
.17031
.20527
.18018
.21978
.19030
.23502
56
57
.16085
.19169
.17047
.20551
.18035
.22003
.19047
.23529
57
58
.16101
.19191
.17064
.20575
.18051
.22028
.19064
.23555
58
59
.16117
.19214
.17080
.20598
.18068
.22053
.19081
.23581
59
60
.16133
.19236
.17096
.20622
.18085
.22077
.19098
.23607
60
255
TABLE XVII— NATURAL VERSED SINES AND EXTERNAL SECANTS.
1
36°
37°
38°
33°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.19098
.23607
.201S6
.25214
.21199
.20902
.22285
.28676
0
1
.19115
.23633
.20154
.25241
.21217
.26931
.22304
.28706
1
2
.19133
.23659
.20171
.25269
.21235
.26960
.22322
.28737
2
3
.19150
.23685
.20189
.25296
.21253
.20988
.22340
.28767
3
4
.19167
.23711
.20207
.25324
.21271
.27017
.22359
.28797
4
5
.19184
.23738
.20224
.25351
.21289
.27040
.22377
.28828
5
6
.19201
.23764
.20242
.25379
.21307
.27075
.22395
.28858
6
7
.19218
.23790
.20259
.25406
.21324
.27104
.22414
.28889
7
* 8
.19235
.23816
.20277
.25434
.21342
.27133
.22432
.28919
8
9
.19252
.23843
.20294
.25402
.21360
.27102
.22450
.28950
9
10
.19270
.23869
.20312
.25489
.21378
.27191
.22409
.28980
10
11
.19287
.23895
.20329
.25517
.21396
27221
.22487
.29011
11
12
.19304
.23922
.20347
.25545
.21414
! 27250
.22506
.29042
12
13
.19321
.23948
.20365
.25572
.21432
.27279
.22524
.29072
13
14
.19338
.23975
.20382
.25600
.21450
.27308
.22542
.29103
14
15
.19356
.24301
.20400
.25628
.21468
.27337
.22501
.29133
15
1G
.19373
.24028
.20417
.25656
.21486
.27306
.22579
.29164
16
17
.19390
.24054
.20435
.25683
.21504
.27396
.22598
.29195
17
18
.19407
.24081
.20453
.25711
21522
.27425
.22016
.29226
18
19
.19424
.24107
.20470
.25739
.'21540
.27454
.22634
.29256
19
20
.19442
.24134
.20488
.25707
.21558
.27483
.22653
.29287
20
21
.19459
.24100
.20506
.25795
.21576
.27513
.22671
.29318
21
22
.10476
.24187
.20523
.25823
.21595
.27542
.22090
.29349
22
23
.19493
.24213
.20541
.25851
.21013
.27572
.22708
.29380
23
24
.19511
.24240
.20559
.25879
.21031
.27601
.22727
.29411
24
25
.19528
.24267
.20576
.25907
.21649
.27630
.22745
.29442
25
26
.19545
.24293
.20594
.25935
.21667
.27660
.22764
.2947'3
20
27
.19562
.24320
.20612
.25963
.21685
.27689
.22782
.29504
27
28
.19580
.24347
.20029
.25991
.21703
.27719
.22801
.29535
28
29
.19597
.24373
.20647
.20019
.21721
.27748
.22819
.29506
20
30
.19614
.24400
.20665
.26047
.21739
.27778
.22838
.29597
30
31
.19632
.24427
.20082
.26075
.21757
.27807
.22856
.29628
31
32
.19649
.24454
.20700
.26104
.21775
.27837
.22875
.29059
32
33
.19666
.24481
.20718
.20132
.21794
.27'8G7
.22893
.29690
33
34
.1^684
.24508
.20736
.20100
.21812
.27896
.22912
.29721
34
35
.197'01
.24534
.20753
.26188
.21830
.27926
.22330
.29752
35
30
.19718
.24561
.20771
.26216
.21848
.27956
.22949
.29784
36
37
.19736
.24588
.20789
.26245
.21866
.27985
.22907
.29815
87
38
.19753
.24615
.20807
.26273
.21884
.28015
.22986
.29846
33
39
.19770
.21642
.20824
.26301
.21902
.28045
.23004
.29877
3!)
40
.19788
.24609
.20842
.20330
.21921
.28075
.23023
.29909
40
41
.19805
.24696
.20860
.20358
.21939
.28105
.23011
.29940
41
42
.19822
.24723
.20878
.20387
.21957
.28134
.230(50
.29971
42
43
.19840
.24750
.20895
.20415
.21975
.28164
.2307'9
.30003
43
44
.19857
.24777
.20913
.20443
.21993
.28194
.23097
.30034
44
45
.19875
.24804
.20931
.20472
.22012
.28224
.23116
.30006
45
46
.19892
.24832
.20949
.26500
.22030
.28254
.23134
.30097
46
47
.19909
.24859
.20967
.26529
.22048
.28284
.23153
.30129
47
48
.19927
.24886
.20985
.26557
.22066
.28314
.23172
.30100
48
49
.19944
.24913
.21002
.26586
.22084
.28344
.23190
.30192
49
50
.19962
.24940
.21020
.26615
.22103
.28374
.23209
.30223
50
51
.19979
.24967
.21038
.20043
.22121
.28404
.23228
.30255
51
52
.19997
.24995
.21056
.20072
.22139
.28434
.23246
.30287
52
53
.20014
.25022
.21074
.20701
.22157
.28464
.23205
.30318
53
54
.20032
.25049
.21092
.20729
.22176
.28495
.23283
.30350
54
55
.20049
.25077
.21109
.20758
.22194
.28525
.23302
.30382
55
5G
.20066
.25104
.21127
.20787
.22212
.28555
.23321
.30413
56
57
.20084
.25131
.21145
.20815
! 22231
.28585
.23339
.30445
57
58
.20101
.25159
.21163
.26844
.22249
.28615
.23358
.30477
58
59
.20119
.25186
.21181
.20873
.22267
.28646 i
.23377
.30509
5'J
60
.20136
.25214 !
.21199
.20902
.22285
.28076 !
.233%
.30541
60
25G
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
40°
41°
42°
43°
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers. Ex. sec.
Vers.
Ex. sec.
0
.23396
.30541
.24529
.32501
.25686
.34563
.26865
.36733
0
1
.23414
.30573
.24548
.32535
.25705
.34599
.26884
.36770
1
2
.23433
.30605
.24567
.32508
.257-24
.34634
.20904
.36807
2
3
.23452
.30636
.24586
.32002
.25744
.34669
.26924
.36844
3
4
.23470
.30668
.24605
.32636
.25703
.34704
.26944
.36881
4
5
.23489
.30700
.24625
.32609
.25783
.34740
.20964
.36919
5
6
.23508
.30732
.24644
.32703
.25802
.34775
.26984
.36956
6
7
.23527
.30764
.24663
.32737
.25822
.34811
.27'004
.36993
7
8
.23545
.30796
.24682
.32770
.25841
.34846
.27024
.37030
8
9
.23564
.30829
.24701
.32804
.25801
.34882
.27043
.37'068
9
10
.23583
.308G1
.24720
.32838
.25880
.34917
.27003
.37105
10
11
.23602
.30893
.24739
.32872
.25900
.84053
.27083
.37143
11
12
.23620
.30925
.24759
.32905
.25920
.34988
.271C3
.37180
12
13
.23639
.30957
.2477'8
.32939
.25939
.35024
.27123
.37218
13
14
.23658
.30989
.24797
.32973
.25959
.35060
.27143
.37255
14
15
.23677
.31022
.24816
-.33007
.25978
.£5095
.27103
.37293
15
16
.23696
.31054
.248S5
.33041
.25998
.35131
.27183
.37'330
16
17
.23714
.31086
.24854
.33075
.26017
.35167
.27203
.37368
17
18
.23733
.31119
.24874
.33109
.26037
.35203
.27223
.37406
18
19
.23752
.31151
.24893
.33143
.26056
.8.;2;:8
.27243
.37443
19
20
.23771
.31183
.24912
.33177
.26076
S5274
.27263
.37481
20
21
.23790
.81216
.24931
.33211
.26096
.35310
.27283
.37519
21
22
.23808
.31248
.24950
.33245
.20115
.35:346
.27303
.37556
2:2
23
.23827
.31281
.24970
.33279
.20135
.35382
.27323
.37'594
2i
24
.23846
.31313
.24989
.33314
.26154
.35418
.27343
.37'632
24
25
.23865
.31346
.25008
.33343
.26174
.35454
.273C3
.37070
25
26
.23884
.31373
.25027
.3a382
.26104
.35490
.27383
.377C8
26
27
.23903
.31411
.25047
.33416
.26213
.35526
.27403
.37746
27
28
.23922
.31443
.25066
.33451
.26233
.35502
.27423
.37784
28
29
.23941
.31476
.25085
.33485
.26253
.35598
.27443
.37822
29
30
.23959
.31509
.25104
.33519
.26272
.35634
.27403
.37860
£0
31
.23978
.81541
.25124
.33554
.26202
.35070
.27483
.37898
31
32
.23997
.31574
.25143
.33588
.20312
.357'07
.27503
.37936
32
33
.24016
.31607
.251C3
.33622
.20381
.35743
.27523
.37'974
33
34
.24035
.31040
.25182
.33C57
.20351
.35779
.27543
.38012
34
35
.24054
.31072
.25201
.33091
.26371
.35815
.27CG3
.38051
35
36
.24073
.31705
.25220
.33726
.26300
.35852
.27583
.38089
36
37
.24092
.31733
.25240
.33700
.20410
.35888
.27603
.38127
37
38
.24111
.81771
252r9
.33795
.20430
.35924
.27623
.38165
33
39
.24130
.31804
* 2527 3
.33830
.26449
.35901
.27643
.38204
39
40
.24149
.31837
! 25297
.338G4
.26469
.35997
.27063
.38242
40
41
.24168
.31870
.25317
.33899
.26489
.36034
.27683
.38280
41
42
.24187
.31903
.25333
.33934
.265C9
.30070
.277'03
.38319
42
43
.24206
.31936
.25355
.33CG8
.20528
.36107
.27723
.38357
43
44
.24225
.31969
.25375
.3-1003
.26543
.36143
.27743
.38396
44
45
.24244
.32002
.25394
.34GC3
.26508
.36180
.27764
.38434
45
46
.24262
.32035
.25414
.3407'3
I .26588
.36217
.27784
.38473
46
47
.24281
.32008
.25433
.34108
.26007
.36253
.27'804
.38512
47
48
.24300
.32101
.25452
.34142
.20627
.36290
.27'824
.38550
48
49
.24320
.32134
25472
.34177
.26647
.36327
.27844
.38589
49
50
.24339
.32168
! 25491
.34212
.26667
.36363
.27864
,.38628
50
51
.24358
.32201
.25511
.34247
.26686
.36400
.27884
.38666
51
52
.24377
.32234
.25530
.34282
.26706
.36437
.27905
.387'05
52
53
.24396
.32267
.25549
.34317
.26726
.36474
.27925
.38744
53
54
.24415
.32301
.25569
.34352
.26746
.36511
.27945
.38783
54
55
.24434
.32334
.25588
.34387
.26766
.36548
.27965
.38822
55
56
.24453
.32368
.25608
.34423
.20785
.36585
.27985
.38860
56
57
.24472
.32401
.25627
.34458
.26805
.36022
.28005
.38899
57
58
.24491
.32434
.25647
.34493
.26825
.36659
.28026
.33938
58
59
.24510
.32468
.25666
.34528
.38845
.30096
.28046
.38977
59
60
.24529
.32501
.25686
.34563
.26865
.36733
.28066
.39016
60
257
TABLE XVII. -NATURAL VERSED SINES AND EXTERNAL SECANTS.
44°
45°
46°
47°
1
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers. i Ex. sec.
0
.28066
.39016
.29289
.41421
.30534
.43956
.31800
.46628
0
1
.28086
.39055
.29310
.41463
.30555
.43999
.31821
.46674
1
2
.28106
.39095
.29330
.41504
.30576
.44042
.31843
.46719
2
3
.28127
.39134
.29351
.41545
.30597
.44086
.31864
.46765
3
4
.28147
.39173
.29372
.41586
.30618
.44129
.31885
.46811
4
5
.28167
.39212
.29392
.41627
.30639
.44173
.31907
.46857
5
6
.28187
.39251
.29413
.41669
.30660
.44217
.31928
.46903
6
7
.28208
.39291
.29433
.41710
.30681
.44260
.31949
.46949
7
8
.28228
.39330
.29454
.41752
.30702
.44304
.31971
.46995
8
9
.28248
.39369
.29475
.41793
.30723
.44347
.31992
.47041
9
10
.28268
.39409
.29495
.41835
.30744
.44391
.32013
.47087
10
11
.28289
.39448
.29516
.41876
.30765
.44435
.32035
.47134
11
12
.28309
.39487
.29537
.41918
.30786
.44479
.32056
.47180
12
13
.28329
.39527
.29557
.41959
.30807
.44523
.32077
.47226
13
14
.28350
.39566
.29578
.42001
.30828
.44567
.32099
.47272
14
15
.28370
.39606
.29599
.42042
.30849
.44610
.32120
.47319
15
16
.28390
.39646
.29619
.42084
.30870
.44654
.32141
.47365
16
17
.28410
.39685
.29640
.42126
.30891
.44698
.32163
.47411
17
18
.28431
.39725
.29661
.42168
.30912
.44742
.32184
.47458
18
19
.28451
.39764
.29681
.42210
.30933
.44787
.32205
.47504
19
20
.28471
.39804
.29702
.42251
.30954
.44831
.32227
.47551
20
21
.28492
.39844
.29723
.42293
.30975
.44875
.32248
.47598
21
22
.28512
.39884
.29743
.42335
.30936
.44919
.32270
.47644
22
23
.28532
.39924
.29764
.42377
.31017
.44963
.32291
.47691
23
24
.28553
.39963
.29785
.42419
.31038
.45007
.32312
.47738
24
25
.28573
.40003
.29805
.42401
.31059
.45052
.32334
.47784
25
26
.28593
.40043
.29826
.42503
.31080
.45096
.32355
.47831
26
27
.28614
.40083
.20847
.42545
.31101
.45141
.32377
.47878
27
28
.28634
.40123
.298G8
.42587
.31122
.45185
.32398
.47925
28
29
.28655
.40163
.29888
.42630
.31143
.45229
.32420
.47972
29
80
.28675
.40203
.29909
.42672
.31105
.45274
.32441
.48019
30
31
.28695
.40243
.29930
.42714
.31186
.45319
.32462
.48066
31
32
.28716
.40283
.29951
.42756
.31207
.45363
.32484
.48113
32
33
.28736
.40324
.29971
.42799
.31228
.45408
.32505
.48160
33
34
.28757
.40364
.29902
.42841
.31249
.45452
.32527
.48207
34
35
.28777
.40404
.30013
.42883
.31270
.45497
.32548
.48254
35
36
.28797
.40444
.30034
.42926
.31291
.45542
.32570
.48301
36
37
.28818
.40485
.30054
.42968
.31312
.45587
.32591
.48349
37
38
.28838
,40525
.30075
.43011
.31324
.45031
.32613
.48396
38
39
.28859
.40565
.30006
.43053
.318H5
.45076
.32034
.48443
39
40
.28879
.40606
.30117
.43096
.31376
.45721
.32656
.48491
40
41
.28900
.40646
.30138
.43139
.31397
.45766
.32677
.48538
41
42
.28920
.40687
.30158
.43181
.31418
.45811
.32699
.48586
42
43
.28941
.40727
.30179
.43224
.31439
.45856
.32720
.48633
43
44
.28961
.407'68
.30200
.43267
.31461
.45901
.32742
.48081
44
45
.28981
.40808
.30221
.43310
.31482
.43946
.32763
.48728
45
46
.29002
.40849
.30242
.43352
.31503
.45992
.32785
.48776
46
47
.29022
.40890
.30263
.43395
.31524
.40037
.32806
.48824
47
48
.29043
.40930
.30283
.43138
.31545
.46082
.32828
.48371
48
49
.29063
.40971
.30304
.43481
.31567
.46127
.32849
.48919
49
50
.29084
.41012
.30325
.43524
.31588
.46173
.32871
.48967
50
51
.29104
.41053
.30346
.43567
.31609
.46218
.32893
.49015
51
52
.29125
.41093
.30367
.43610
.31630
.46263
.32914
.49063
52
53
.29145
.41134
.30388
.43653
.31651
.46309
.32936
.49111
53
54
.29166
.41175
.30409
.43696
.31673
.46354
.32957
.49159
54
55
.29187
.41216
.30430
.43739
.31694
.40400
.32979
.49207
55
56
.29207
.41257
.30451
.43783
.31715
.40445
.33001
.49255
56
57
.29228
.41298
.30471
.43826
.31736
.46491
.33022
.49303
57
58
.29248
.41339
.30492
.43869
.31758
.40537
.33044
.49351
58
59
.29269
.41380
.30513
.43912
.31779
.46582
.33065
.49399
59
GO
.29289
.41421
.30534
.43956
.31800
.46628
.33087
.49448
60
258
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
'
48°
49°
50*
51°
/
Vers.
I
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.33087
.49448
.34394
.52425
.35721
.55572
.37068
.58902
0
1
.33109
.49496
.34416
.52476
.35744
.55626
.37091
.58959
1
2
.33130
.49544
.34438
.52527
.35766
.55680
.37113
.59016
2
3
.33152
.49593
.34460
.52579
.35788
.55734
.37136
.59073
3
4
.33173
.49641
.34482
.52630
.35810
.55789
.37158
.59130
4
5
.33195
.49690
.34504
.52681
.35833
.55843
.37181
.59188
5
6
.33217
.49738
.34526
.52732
.35855
.55897
.37204
.59245
6
7
.33238
.49787
.34548
.52784
.35877
.55951
.37226
.59302
7
8
.33260
.49835
.34570
.52835
.35900
.56005
.37249
.59360
8
9
.33282
.49884
.34592
.52886
.35922
.56060
.37272
.59418
9
10
.33303
.49933
.34614
.52938
.35944
.56114
.37294
.59475
10
11
.33325
.49981
.34636
.52989
.35967
.56169
.37317
.59533
11
12
.33347
.50030
.34658
.53041
.35989
.56223
.37340
.59590
12
13
.33368
.50079
.34680
.53092
.36011
.56278
.37362
.59648
13
14
.33390
.50128
.34702
.53144
.36034
.56332
.37385
.59706
14
15
.33412
.50177
.34724
.53196
.36056
.56387
.37408
.59764
15
16
.33434
.50226
.34746
.53247
.36078
.56442
.37430
.59822
16
17
.33455
.50275
.34768
.53299
.36101
.56497
.37453
.59880
17
18
.33477
.50324
.34790
.53351
.36123
.56551
.37476
.59938
18
19
.33499
.50373
.34812
.53403
.36146
.56606
.37498
.59996
19
20
.33520
.50422
.34834
.53455
.36168
.56661
.37521
.60054
20
21
.33542
.50471
.34856
.53507
.36190
.56716
.37544
.60112
21
22
.33564
.50521
.34878
.53559
.36213
.56771
.37'567
.60171
22
23
.33586
.50570
.34900
.53611
.36235
.56826
.37589
.60229
23
24
.33607
.50619
.34923
.53663
.36258
.56881
.37612
.60287
24
25
.33629
.50669
.34945
.53715
.36280
.56937
.37635
.60346
25
26
.33651
.50718
.34967
.53768
.36302
.56992
.37658
.60404
26
27
.33673
.50767
.34989
.53820
.36325
.57047
.37680
.60463
27
28
.33694
.50817
.35011
.53872
.36347
.57103
.37703
.60521
28
29
.33716
.50866
.35033
.53924
.36370
.57158
.37726
.60580
29
30
.33738
.50916
.35055
.53977
.36392
.57213
.37749
.60639
30
31
.33760
.50966
.35077
.54029
.36415
.57269
.37771
.60698
31
32
.33782
.51015
.35099
.54082
.36437
.57324
.37794
.60756
32
33
.33803
.51065
.35122
.54134
.36460
.57380
.37817
.60815
33
31
.33825
.51115
.35144
.54187
.36482
.57436
.37840
.60874
34
35
.33847
.51165
.35166
.54240
.36504
.57491
.37'862
.60933
35
36
.33809
.51215
.35188
.54292
.36527
.57547
.37885
.60992
36
37
.33891
.51265
.35210
.54345
.36549
.57603
.37908
.61051
37
38
.33912
.51314
.35232
.54398
.36572
.57659
.37931
.61111
38
39
.33934
.51364
.35254
.54451
.36594
.57715
.37954
.61170
39
40
.33956
.51415
.35277
.54504
.36617
.57771
.37976
.61229
40
41
.33978
.51465
.35299
.54557
.36639
.57827
.37999
.61288
41
42
.34000
.51515
.35321
.54610
.36662
.57883
.38022
.61348
42
43
.34022
.51565
.35343
.54663
.36684
.57939
.38045
.61407
43
44
.34044
.51615
.35365
.54716
.36707
.57995
.38068
.61467
44
45
.34065
.51665
.35388
.54769
.36729
.58051
.38091
.61526
45
46
.34087
.51716
.35410
.54822
.36752
.58108
.38113
.61586
46
47
.34109
.51766
.35432
.54876
.36775
.58164
.38136
.61646
47
48
.34131
.51817
.35454
.54929
.36797
.58221
.38159
.61705
48
49
.34153
.51867
.35476
.54982
.36820
.58277
.38182
.61765
49
50
.34175
.51918
.35499
.55036
.36842
.58333
.38205
.61825
50
51
.34197
.51968
.35521
.55089
.36865
.58390
.38228
.61885
51
52
.34219
.52019
.35543
.55143
.36887
.58447
.38251
.61945
52
53
.34241
.52069
.35565
.55196
.36910
.58503
.38274
.62005
53
54
.34262
.52120 1
.a5588
.55250
.36932
.58560
.38296
.62065
54
55
.34284
.52171
.35610
.55303
.36955
.58617
.38319
.62125
55
56
.34306
.52222
.35632
.55357
.36978
.58674
.38342
.62185
56
57
.34328
.52273
.35654
.55411
.37000
.58731
.38365
.62246
57
58
.34350
.52323
.35677
.55465
.37023
.58788
.38388
.62306
58
59
.34372
.52374
.35699
.55518
.37045
.58845
.38411
.62366
59
60
.34394
.52425
.35721
.55572
.37068
.58902
.38434
.62427
60
259
TABLE XVTT.-NATURAL VERSED SINES AND EXTERNAL SECANTS
/
52°
53°
54°
55°
j
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers. j Ex. sec.
Vers.
Ex. sec.
0
.38434
.62427
.39819
.66164
.41221
.70130
.42642
.74345
0
1
.38457
.62487
.39842
.66228
.41245
.70198
.42666
.74417
1
2
.38480
.62548
.39865
.66292
.41269
.70267
.42690
.74490
2
3
.38503
.62609
.39888
.66357
.41292
.70335
.42714
.74562
3
4
.38526
.62669
.39911
.66421
.41316
.70403
.42738
.74635
4
5
.38549
.62730
.39935
.66486
.41&39
.70472
.42762
.74708
5
6
.38571
.62791
.39958
.66550
.41363
.70540
.42785
.74781
6
7
.38594
.62&52
.39981
.66615
.41386
.70609
.42809
.74854
7
8
.38617
.62913
.40005
.66679
.41410
.70677
.42833
.74927
8
9
.38640
.62974
.40028
.66744
.41433
.70746
.42857
.75000
9
10
.38663
.63035
.40051
.66809
.41457
.70815
.42881
.75073
10
11
.38686
.63096
.40074
.66873
.41481
.70884
.42905
.75146
11
12
.38709
.63157
.40098
.66938
.41504
.70953
.42929
.75219
13
.38732
.63218
.40121
.67003
.41528
.71022
.42953
.75293
13
14
.38755
.63279
.40144
.67068
.41551
.71091
.42976
.75366
14
15
.38778
.63341
.40168
.67133
.41575
.71160
.43000
.75440
15
16
.38801
.63402
.40191
.67199
.41599
.71229
.43024
.75513
16
17
.38824
.63464
.40214
.67264
.41622
.71298
.43048
.75587
17
18
.38847
.63525
.40237
.67329
.41646
.71368
.43072
.75661
18
19
.38870
.6358?
.40261
.67394
.41670
.71437
.43096
,75734
19
20
.38893
.63648
.40284
.67460
.41693
.71506
.43120
.75808
20
21
.38916
.63710
.40307
.67525
.41717
.71576
.43144
.75882
21
22
.38939
.63772
.40331
.67591
.41740
.71646
.43168
.75956
22
23
.38962
.63834
.40354
.67656
.41764
.71715
.43192
.76031
23
24
.38985
.63895
.40378
.67722
.41788
.71785
.43216
.76105
24
25
.39009
.63957
.40401
.67788
.41811
.71855
.43240
.76179
25
26
.39032
.64019
.40424
.67853
.41835
.71925
.43264
.76253
26
27
.39055
.64081
.40448
.67919
.41859
.71995
.43287
.76328
27
28
.39078
.64144
.40471
.67985
.41882
.72065
.43311
.76402
28
29
.39101
.64206
.40494
.68051
.41906
.72135
.43335
.76477
29
30
.39124
.64268
.40518
.68117
.41930
.72205
.43359
.76552
30
31
.39147
.64330
.40541
.68183
.41953
.72275
.43383
.76626
31
32
.39170
.64393
.40565
.68250
.41977
.72346
.43407
.76701
32
33
.39193
.64455
.40588
.68316
.42001
.72416
.43431
.76776
33
34
.39216
.64518
.40611
.68382
.42024
.72487
.43455
.76851
34
35
.39239
.G4580
.40635
.68449
.42048
.72557
.43479
. 7^926
35
36
.39262
.64643
.40658
.68515
.42072
.72628
.43503
.77001
36
37
.39286
.64705
.40682
.G8582
.42096
.72698
.43527
.77077
37
38
.39309
.64768
.40705
.68648
.42119
.72769
.43551
.77152
38 .
39
.39332
.64831
.40728
.08715
.42143
.72840
.43575
.77227
39
40
.39355
.64894
.40752
.68782
.42167
.72911
.43599
.77303
40
41
.39378
.64957
.40775
.68848
.42191
.72982
.43623
.77378
41
42
.39401
.65020
.40799
.68915
.42214
.73053
.43647
.77454
42
43
.39424
.65083
.40822
.68982
.42238
.73124
.43671
\77530
43
44
.39447
.65146
.40846
.69049
.42262
.73195
.43695
.77606
44
45
.39471
.65209
.40869
.69116
.42285
.73267
.43720
.77681
45
46
.39494
.65272
.40893
.69183
.42309
.73338
.43744
.77757
46
47
.39517
.65336
.40916
.G9S50
.42333
.73409
.43768
.77833
47
48
.39540
.65399
.40939
.69318
.42357
.73481
.43792
.77910
48
49
.39563
.65462
.40963
.69385
.42381
.73552
.43816
.77986
49
50
.39586
.65526
.40986
.69452
.42404
.73624
.43840
.78062
50
51
.39610
.65589
.41010
.69520
.42428
.73696
.43864
.78138
51
52
.39633
.65653
.41033
.69587
.42452
.73768
.43888
.78215
62
53
.39656
.65717
.41057
.69655
.42476
.73840
.43912
.78291
53
54
.39679
.65780
.41080
.69723
.42499
.73911
.43936
.78368
54
55
.39702
.65844
.41104
.69790
.42523
.73983
.43960
.78445
55
56
.39726
.65908
.41127
.69858
.42547
74056
.43984
.78521
56
57
.39749
.65972
.41151
.69926
.42571
.74128
.44008
.78598
57
58
.39772
.66036
.41174
.69994
.42595
.74200
.44032
.78675
68
59
.39795
.66100
.41198
.70062
.42619
.74272
.44057
.78752
59
60
.39819
.66164
.41221
.70130
.42642
.74345
.44081
.78829
60
260
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTO
56°
57°
58°
59°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers. ;Ex.sec.
0
.44081
.78829
.45536
.83608
.47008
.88708
.48496
.94160
0
1
.44105
.78906
.45560
.83690
.47033
.88796
.48521
.94254
1
2
.44129
.78984
.45585
.83773
.47057
.88884
.48546
.94349
2
3
.44153
.79061
.45609
.83855
.47082
.88972
.48571
.94443
3
4
.44177
.79138
.45634
.83938
.47107
.89060
.48596
.94537
4
5
.44201
.79216
.45658
.84020
.47131
.89148
.48621
.94632
5
6
.44225
.79293
.45683
.84103
.47156
.89237
.48646
.94726
6
7
.44250
.79371
.45707
.84186
.47181
.89325
.48671
.94821
7
8
.44274
.79449
.45731
.84269
.47206
.89414
.48696
.94916
8
9
.44298
.79527
.45756
.84352
.47230
.89503
.48721
.95011
9
10
.44322
.79604
.45780
.84435
.47255
.89591
.48746
.95106
10
11
.44346
.79682
.45805
.84518
.47280
.89680
.48771
.95201
11
12
.44370
.79761
.45829
.84601
.47304
.89769
.48796
.95296
12
13
.44395
.79839
.45854
.84685
.47329
.89858
.48821
.95392
13
14
.44419
.79917
.45878
.84768
.47354
.89948
.48846
.95487
14
15
.44443
.79995
.45903
.84852
.47379
.90037
.48871
.95583
15
16
.44467
.80074
.45927
.84935
.47403
.90126
.48896
.95678
16
17
.44491
.80152
.45951
.85019
.47428
.90216
.48921
.95774
17
18
.44516
.80231
.45976
.85103
.47453
.90305
.48946
.95870
18
19
.44540
.80309
.46000
.85187
.47478
.90395
.48971
.95966
19
20
.44564
.80388
.46025
.85271
.47502
.90485
.48996
.96062
20
21
.44588
.80467
.46049
.85355
.47527
.90575
.49021
.96158
21
22
.44612
.80546
.46074
.85439
.47552
.90665
.49046
.96255
22
23
.44637
.80625
.46098
.85523
.47577
.90755
.49071
.96351
23
24
.44661
.80704
.46123
.85608
.47601
.90845
.49096
.96448
24
25
.44685
.80783
.46147
.85692
.47626
.90935
.49121
.96544
25
26
.44709
.80862
.46172
.85777
.47651
.91026
.49146
.96641
26
27
.44734
.80942
.46196
.85861
.47676
.91116
.49171
.967'38
27
28
.44758
.81021
.46221
.85946
.47701
.91207
.49196
.96835
28
29
.44782
.81101
.46246
.86031
.47725
.91297
.49221
.96932
29
30
.44806
.81180
.46270
.86116
.47750
.91388
.49246
.97029
30
31
.44831
.81260
.46295
.86201
.47775
.91479
.49271
.97127
31
32
.44855
.81340
.46319
.86286
.47800
.91570
.49296
.97224
32
33
.44879
.81419
.46344
.86371
.47825
.91661
.49321
.97322
33
34
.44903
.81499
.46368
.86457
.47849
.91752
.49346
.97420
34
35
.44928
.81579
.46393
.86542
.47874
.91844
.49372
.97517
35
36
.44952
.81659
.46417
.86627
.47899
.91935
.49397
.97615
36
37
.44976
.81740
.46442
.86713
.47924
.92027
.49422
.97713
37
38
.45001
.81820
.46466
.86799
.47949
.92118
.49447
.97811
38
39
.45025
.81900
.46491
.86885
.47974
.92210
.49472
.97910
39
40
.45049
.81981
.46516
.86990
.47998
.92302
.49497
.98008
40
41
.45073
.82061
.46540
.87056
.48023
.92394
,49522
.98107
41
42
.45098
.82142
.46565
.87142
.48048
.92486
.49547
.98205
42
43
.45122
.82222
.46589
.87229
.48073
.9.2578
.49572
.98304
43
44
.45146
.82303
.46614
.87315
.48098
.92670
.49597
.98403
44
45
.45171
.82384
.46639
.87401
.48123
.92762
.49623
.98502
45
46
.45195
.82465
.46663
.87488
.48148
.92855
.49648
.98601
46
47
.45219
.82546
.46688
.87574
.48172
.92947
.49673
.98700
47
48
.45244
.82627
.46712
.87661
.48197
.93040
.49698
.98799
48
49
.45268
.82709
.46737
.87748
.48222
.93133
.49723
.98899
49
50
.45292
.82790
.46762
.87834
.48247
.93226
.49748
.98998
50
51
.45317
.82871
.46786
.87921
.48272
.93319
.49773
.99098
51
52
.45341
.82953
.46811
.88008
.48297
.93412
.49799
.99198
52
53
.45365
.83034
.46836
.88095
.48322
.93505
.49824
.99298
53
54
.45390
.83116
.46860
.88183
.48347
.93598
.49849
.99398
54
55
.45414
.83198
.46885
.88270
.48372
.93602,
.49874
.99498
55
56
.45439
.a3280
.46909
.88357
.48396
.93785
.49899
.99598
56
57
.45463
.8-3362
.46934
.88445
.48421
.93879
.49924
.99698
57
58
.45487
.83444
.46959
.88532
.48446
.93973
.49950
.99799
58
59
.45512
.83526
.46983
.88620
.48471
.94066
.49975
.99899
59
60
.45536
.83608
.47008
.88708 1
.48496
.94160
.50000
.00000
60
361
TABLE XVII. -NATURAL VERSED SINES AND EXTERNAL SECANTS.
€
0°
6
1°
6
2°
€
3°
Vers.
Ex .se
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.50000
1.00000
.51519
1.06267
.53053
1.13005
.54601
1.20269
0
1
.50025
1.00101
.51544
1.06375
.53079
1.13122
.54627
1.20395
1
2
.50050
1.00202
.51570
1.06483
.53104
1.13239
.54653
1.20521
2
3
.50076
1.00303
.51595
1.06592
.53130
1.13356
.54679
1.20647
3
4
.50101
1.00404
.51621
1.06701
.53156
1.13473
.54705
1.20773
4
5
.50126
1.00505
.51646
1.06809
.53181
1.13590
.54731
1.20900
5
6
.50151
1.00607
.51672
1.06918
.53207
1.13707
.54757
1.21026
6
7
.50176
1.00708
.51697
1.07027
.53233
1.13825
.54782
1.21153
7
8
.50202
1.00810
.51723
1.07137
.53258
1.13942
.54808
1.21280
8
9
.50227
1.00912
.51748
1.07246
.53284
1.14060
.54834
1.21407
9
10
.50252
1.01014
.51774
1.07356
.53310
1.14178
.54860
1.21535
10
11
.50277
1.01116
.51799
1.07465
.53336
1.14296
.54886
1.21662
11
12
.50303
1.01218
.51825
1.07575
.53361
1.14414
.54912
1.21790
12
13
.50328
1.01320
.51850
1.07685
.53387
1.14533
.54938
1.21918
13
14
.50353
1.01422
.51876
1.07795
.53413
1.14651
.54964
1.22045
14
15
.50378
1.0)525
.51901
1.07905
.5:3439
1.14770
.54990
.22174
15
16
.50404
1.01628
.51927
1.08015
.53464
1.14889
.55016
.22302
16
17
.50429
1.01730
.51952
1.08126
.53490
1.15008
.55042
.22430
17
18
.50454
1.01833
.51978
1.08236
.53516
1.15127
.55068
.22559
18
19
.50479
1.01936
.52003
1.08347
.53542
1.15246
.55094
.22688
19
20
.50505
1.02039
.52029
1.08458
.53567
1.15366
.55120
.22817
20
21
.50530
1.02143
.52054
1.08569
.53593
1.15485
.55146
1.22946
21
22
.50555
1.02246
.52080
1.08680
.53619
1.15605
.55172
1.23075
22
23
.50581
1.02349
.52105
1.08791
.53645
1.15725
.55198
1.23205
23
24
.50606
1.02453
.52131
1.08903
.53670
1.15845
.55224
1.23334
24
25
.50631
1.02557
.52156
1.09014
.53096
1.15965
.55250
1.23464
25
26
.50656
1.02661
.52182
1.09126
.53722
1.16085
.55276
1.23594
26
27
.50682
1.02765
.52207
1.09238
.53748
1.16206
.55302
1.23724
27
28
.50707
1.02869
.52233
1.09350
.53774
1.16326
.55328
1.23855
28
29
.50732
1.02973
.52259
1.09462
.53799
1.16447
.55354
1.23985
29
30
.50758
1.03077
.52284
1.09574
.53825
1.16568
.55380
1.24116
30
31
.50783
1.03182
.52310
1.09686
.53851
1.16689
.55406
1.24247
31
32
.50808
1.03286
.52335
1.09799
.53877
1.16810
.55432
1.24378
32
33
.50834
1.03391
.52361
1.09911
.53903
1.16932
.55458
1.24509
33
34
.50859
1.03496
.52386
1.10024
.53928
1.17053
.55484
1.24640
34
35
.50884
1.03601
.52412
1.10137
.53954
1.17175
.55510
1.24772
35
36
.50910
1.03706
.52438
1.10250
.53980
1.17297
.55536
1.24903
36
37
.50935
1.03811
.52463
1.10363
.54006
1.17419
.55563
1.25035
37
38
.50960
1.03916
.52489
1.10477
.54032
1.17541
.55589
1 25167
38
39
.50986
1.04022
.52514
1.10590
.54058
1.17663
.55615
1.25300
39
40
.51011
1.04128
.52540
1.10704
.54083
1.17786
.55641
1.25432
40
41
.51036
1.04233
.52566
1.10817
.54109
1.17909
.55667
1.25565
41
42
.51062
1.04339
.52591
1.10931
.54135
1.18031
.55693
1.25697
42
43
.51087
1.04445
.52617
1.11045
.54161
1 . 18154
.55719
1.25830
43
44
.51113
1.04551
.52642
1.11159
.54187
1.18277
.55745
1.25963
44
45
.51138
1.04658
.52668
1.11274
.54213
1.18401
.55771
1.26097
45
46
.51163
1.04764
.52694
1.11388
.54238
1.18524
.55797
1.26230
46
47
.51189
1.04870
.52719
1.11503
.54264
1.18648
.55823
1.26364
47
48
.51214
1.04977
.52745
1.11617
.54290
1.18772
.55849
1.26498
48
49
.51239
1.05084
.52771
1.11732
.54316
1.18895
.55876
1.26632
49
50
.51265
1.05191
.52796
1.11847
.54342
1.19019
.55902
1.26766
50
51
.51290
1.05298
.52822
1.11963
.54368
1.19144
.55928
1.26900
51
52
.51316
1.05405
.52848
1.12078
.54394
1.19268
.55954
1.27035
52
53
.51341
1.05512
.52873
1.12193
.54420
1.19393
.55980
1.27169
53
54
.51366
1.05619
.52899
1.12309
.54446
1.19517
.56006
1.27304
54
55
.51392
1.05727
.52924
1.12425
.54471
1.19642
.56032
1.27439
55
56
.51417
1.05835
.52950
1.12540
.54497
1.19767
.56058
1.27574
56
57
.51443
1.05942
.52976
1.12657
.54523
1.19892
.56084
1.27710
57
58
.51468
1.06050
.53001
1.12773
.54549
1.20018
.56111
1.27845
58
59
.51494
1.06158
.53027
1.12889
.54575
1.20143
.56137
1.27981
59
60
.51519
1.06267
.53053
1.13005
.54001
1.20269
.56163
1.28117
60
262
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
6
40
6
5°
6
6«
6
7°
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.56163
1.28117
.57738
1.36620 !
.59326
1.45859
.60927
.55930
0
1
.56189
1.28253
.57765
1.36768 ;
.59353
1.46020
.60954
.56106
1
2
.56215
1.28390
.57791
1.36916
.59379
1.46181
.60980
.56282
2
a
.56241
1.28526
.57817
1.37064
.59406
1.46342
.61007
.56458
3
4
.56267
1.28663
.57844
1.37212
.59433
1.46504
.61034
.56634
4
5
.56294
1.28800
.57870
1.37361
.59459
1.46665
.61061
.56811
5
6
.56320
1.28937 I
.57896
1.37509 i
.59486
1.46827
.61088
.56988
6
7
.56346
1.29074 i
.57923
1.37658
.59512
1.46989
.61114
.57165
7
8
.56372
1.29211
.57949
1.37808
.59539
1.47152
.61141
.57342
8
9
.56398
1.29349 j
.57976
1.37957
.59566
1.47314
.61168
.57520
9
10
.56425
1.29487
.58002
1.3810?
.59592
1. 47477
.61195
.57698
10
11
.56451
1.29625
.58028
1.38256
.59619
1.47640
.61222
.57876
11
12
.56477
1-29763
.58055
1.38406
.59645
1.47804
.61248
.58054
12
13
.56503
1.29901
.58081
1.38556
'.59672
1.47967
.61275
.58233
13
14
.56529
1.30040
.58108
1.38707
.59699
1.48131
.61302
.58412
14
15
.56555
1.30179
.58134
.38857
.59725
1.48295
.61329
.58591
15
16
.56582
1.30318
.58160
.39008
.59752
1.48459
.61356
.58771
16
17
.56608
1.30457
.58187
.39159
.59779
1.48624
.61383
.58950
17
18
.56634
1.30596
.58213
.39311
.59805
1.48789 :
.61409
.59130
18
19
.56660
1.307.35 !
.58240
.39462
.59832
1.48954
.61436
.59311
19
20
.56687
1.30875
.58266
.39614
.59859
1.49119
.61463
.59491
20
21
.56713
1.31015
.58293
.39766
.59885
1.49284
.61490
.59672
21
22
.56739
1.31155
.58319
.39918
.59912
1.49450
.61517
.59853
22
23
.56765
1.31295
.58345
.40070
.59938
1.49616
.61544
.60035
23
24
.56791
1.31436
.58372
1.40222
.59965
1.49782
.61570
.60217
24
25
.56818
1.31576
.58398
1.40375
.59992
1.49948
.61597
.60399
25
2(5
.56844
1.31717
.58425
1.40528
.60018
1.50115
.61624
.60581
26
27
.56870
1.31858
.58451
1.40681
.60045
1.50282
.61651
.60763
27
28
.56896
1.31999
.58478
1.40835
.60072
1.50449
.61678
.60946
28
29
.56923
1.32140
.58504
1.40988
.60098
1.50617
.61705
.61129
29
30
.56949
1.32282
.58531
1.41142
.60125
1.50784
.61732
.61313
30
31
.56975
1.32424
.5R557
1.41296
.60152
1.50952
.61759
.61496
31
32
.57001
1.32566
.58584
1.41450
.60178
1.51120
.61785
.61680
32
33
.57028
1.32708
.58610
1.41605
.60205
1.51289
.61812
.61864
33
34
.57054
1.32850
.58637
1.41760
.60232
1.51457
.61839
.62049
34
35
.57080
1.32993
.58663
1.41914
.60259
1.51626
.61866
.62234
35
30
.57106
1. .33135
.58690
1.42070
.60285
1.51795
.61893
.62419
36
37
.571 as
1.33278
.58716
1.42225
.60312
.51965
.61920
.62604
37
38
.57159
1.33422
.58743
1.42380
.60339
.52134
.61947
.62790
38
39
.57185
1., 33565
.58769
1.42536
.60365
.52304
.61974
.62976
39
40
.57212
1.33708
.58796
1.42692
.60392
.52474
.62001
.63162
40
41
.57238
1.33852
.58822
1.42848
.60419
.52645
.62027
.63348
41
42
.57264
1.33996
.58849
1.43005
.60445
.52815 i
.62054
.63535
42
43
.57291
1.34140
.58875
1.43162
.60472
.52986
.62081
.63722
43
44
.57317
1.34284
.58902
1.43318
.60499
.53157
.62108
.63909
44
45
.57343
1.34429
.58928
1.43476
.60526
.53329
.62135
.64097
45
40
.57369
1.34573
.58955
.43633
.60552
.53500
.62162
.64285
46
47
.57396
1.34718
.58981
.43790
.60579
.53672
.62189
.64473
47
48
.57422
1.34863
.59008
.43948
.60606
.53845
.62216
.64662
48
49
.57448
1.35009
.59034
.44106
.60633
.54017
.62243
.64851
49
50
. 57475
1.35154
.59061
.44264
.60659
.54190
.62270
.65040
50
51
.57501
1.35300
.59087
.44423
.60686
.54363
.62297
.65229
51
58
.57527
1., 35446 i
.59114
.44582
.60713
.54536
.62324
.65419
52
53
.57554
1.35592
.59140
.44741
.60740
.54709
.62351
.65609
53
54
.57580
1.35738
.59167
.44900
.60766
.54883
.62378
.65799
54
55
.57606
1.35885
.59194
.45059
.60793
.5505?
.62405
.65989
55
56
.57633
1.36031
.59220
.45219
.60820
.55231
.62431
1.66180
50
57
.57659
1.36178
.59247
.45378
.60847
.55405
.62458
1.66371
57
68
.57685
1.36325
.59273
.45539
.60873
.55580
.62485
1.66563
58
59
.57712
1.36473
.59300
.45699
.60900
.55755
.62512
1.66755
59
60
.57738
1.36620
.59326
.45859
.60927
.55930
.62539
1.66947
00
263
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
/
68'
69°
70°
71°
>
Vers,
Ex. sec
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec
1
.62539
1.66947
.64103
1.79043
1 .65798
1.92380
.67443 2.07155
0
•
.62566
1.67139
.64190
1.79254
.65825
1.92614
.67471 2.07'415
1
ji
.62593
1.67332
.64218
1.79466
.65853
1.92849
.67498 2.07675
2
J
.62620
1.67525
.64245
1.79679
.65880
1.93083
.67526 2.07936
3
i
.62647
1.67718
.64272
1.79891
.65907
1.93318
.67553
2.08197
i
t
.62674
1.67911
.64299
1.80104
.65935
1.93554
.67581
2.08459
t
t
.62701
1.68105
.64326
1.80318
.65962
1.93790
.67608
2.087'21
e
(
.62728
1.68299
.64353
1.80531
.65989
1.94026
.67636
2.089&3
5
8
.62755
1.68494
.64381
1.80746
.66017
1.94263
.67663
2.09246
8
9
.62782 1.68689
.64408
1.80960
.66044
1.94500
.67691
2.09510
9
10
.62809
1.68884
.64435
1.81175
.66071
1.94737
.67718
2.09774
10
11
.62836
1.69079
.64462
1.81390
.66099
1.94975
.67746
2.10038
11
12
.62863
1.69275
.64489
1.81605.
.66126
1.95213
.67773
2.10303
12
13
.62890
1.69471
.64517
1.81821
.66154
1.95452
.67801
2.10568
13
14
.62917
1.69667
.64544
1.82037
.66181
1.95691
.67829
2.10834
14
15
.62944
1:69864
.64571
1.82254
.66208
1.95931
.67856
2.11101
15
16
.62971
1.70061
.64598
1.82471
.66236
1.96171
.67884
2.11367
16
17
.62998
1.70258
.64625
1.82688
.GG2G3
1.96411
.67911
2.11635
17
18
.63025
1.70455
.64653
1.82906
.66290
1.96652
.67939
2.11903
18
19
.63052
1.70653
.64680
1.83124
.66318
1.96893
.G7966
2.12171
19
20
.63079
1.70851
.64707
1.83342
.66345
1.97135
.67994
2.12440
20
21
.63106
1.71050
.64734
1.83561
.66373
1.97377
.68021
2.12709
21
22
.63133
1.71249
.64761
1.83780
.(56400
1.97619
.68049
2.12979
22
23
.63161
1.71448
.64789
1.83999
.66427
1.97862
.68077
2.13249
23
24
.63188
1.71647
.64816
1.84219
.66455
1.98106
.68104
2.13520
24
25
.63215
1.71847
.64843
1.84439
.66482
1.98349
.68132
2.13791
25
26
.63242
1.72047
.64870
1.84659
.66510
1. 98594
.68159
2.14063
26
27
.63269
1.72247
.64898
1.84880
.66537
1.98838
.68187
2.14335
27
28
.63296
1.72448
.64925
1.85102
.66564
1.99083
.68214
2.14608
28
29
.63323
1.72619
.64952
1.85323
.66592
1.99329
.68242
2.14881
29
30
.63350
1.72850
.64979
1.85545
.66619
1.99574
.68270
2.15155
30
31
.63377
1.73052
.65007
1.85767
.66647
1.99821
.68297
2.15429
31
32
.63404
1.73254
.65034
1.85990
.66674
2.00067
.68325
2.15704
32
33
.63431
1.73456
.65061
1.86213
.66702
2.00315
.68352
2.15979
33
34
.63458
1.73659
.65088
1.86437
.66729
2.00562
.68380
2.16255
34
35
.63485
1.73862
.65116
1.86661
.66756
2.00810
.68408
2.16531
35
36
.63512
1.74065
.65143
1.86885
.66784
2.01059
.68435
2.16808
36
37
.63539
1.74269
.65170
1.87109
.66811
2.01308
.68463
2.17085
37
38
.63566
1.74473
.65197
1.87334
.66839
2.01557
.68490
2.17363
38
39
.63594
1.74677
.65225
1.87560
.66866
2.01807
.68518
2.17641
39
40
.63621
1.74881
.65252
1.87785
.66894
2.02057
.68546
2.17920
40
41
.63648
1.75036
.65279
1.88011
.66921
2.02308
.68573
2.18199
41
42
.63675
1.75292
.65306
1.88238
.66949
2.02559
.68601
2.18479
42
43
.63702
1.75497
.65334
1.88465
.6697'6
2.02810
.68628
2.18759
43
44
.63729
1.75703
.65361
1.88692
.67003
2.03062
.68656
2.19040
44
45
.63756
1.75909
.65388
1.88920
.67031
2.03315
.68684
2.19322
45
46
.63783
1.76116
.65416
1.89148
.67058
2.03568
.68711
2.19604
46
47
.63810
1.76323
.65443
1.89376
.67086
2.03821
.68739
2.19886
47
48
.63838
1.76530
.65470
1.89605
.67113
2.04075
.68767
2.20169
48
49
.63865
1.76737
.65497
1.89834
.67141
2.04329
.68794
2.20453
49
50
.63892
1.76945
.65525
1.90063
.67168
2.04584
.68822
2.20737
50
51
.63919
1.77154
.65552
1.90293
.67196
2.04839
.68849
2.21021
51
52
.63946
1.77362 !
.65579
1.90524
.67223
2.05094
.68877
2.21306
52
53
.63973
1.77571 !
.65607
1.90754
.67251
2.05350
.68905
2.21592
53
54
.64000
1 77780 I
.65634
1.90986
.67278
2.05607
.68932
2.21878
54
55
.64027
1.77990 !
.65661
1.91217
.67306
2.05864
.68960
2.22165 55
56
.64055
1.78200
.65689
1.91449
.67333
2.06121
.68988
2.22452
56
57
.64082
1.78410
.65716
1.91681
.67361
2.06379
.69015
2.22740
57
58
.64109
1.78621
.65743
1.91914
.67388
2.06637
.69043
2.23028
58
59
.64136
1.78832
.65771
1.92147
.67416
2.06896
.69071
2.23317
59
60
.64163
1.79043
.65798
1.92380 1
.67443 2.07155
.69098
2.23607
60
264
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
'
72°
73°
74°
75°
•
Vers.
Ex. sec.
Vsrs.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.69098
2.23607
.70763
2.42030
.72436
2.62796
.74118
2.86370
0
1
.69126
2.23897
.70791
2.42356
.72404
2.63164
.74146
2.86790
1
2
.69154
2.24187
.70818
2.42683
.72492
2 63533
.74174
2.87211
2
3
.69181
2.24478
.70846
2.43010
.72520
2.63903
.74202
2.87633
3
4
.69209
2.24770
.70874
2.43337
.72548
2.64274
.74231
2.88056
4
5
.69237
2.25062
.70902
2.43666
.72576
2.64645
.74259
2.88479
5
6
69264
2.25355
.70930
2.43995
.72604
2.65018
.74287
2.88904
6
7
.69292
2.25648
.70958
2.44324
.72632
2.65391
.74315
2.89330
7
8
.69320
2.25942
.7'0985
2.44655
.72660
2.65765
.74343
2.89756
8
9
.69347
2 26237
.71013
2.44986
.72688
2.66140
.74371
2.90184
9
10
.69375
2.26531
.71041
2.45317
.72716
2.66515
.74399
2.90613
10
11
.69403
2.26827
.71069
2.45650
.72744
2.66892
.74427
2.91042
U
13
.69430
2.27123
.71097
2.45983
.72773
2.67269
.74455
2.91473
IS
13
.69458
2.27420
.71125
2.46316
.72800
2.67647
.74484
2.91904
13
14
.69486
2.27717
.71153
2.46651
.72828
2.68025
.74512
2.92337
14
15
.69514
2.28015
.71180
2.46986
.72856
2.68405
.74540
2.92770
15
10
.69541
2.28313
.71208
2.47321
.72884
2.68785
.74568
2.93204
10
17
.69569
2.28612
.71236
2.47658
.72912
2.69167
.74596
2.93640
17
18
.69597
2.28912
.71264
2.47995
.72940
2.69549
.74024
2.94076
18
19
.69624
2.29212
.71292
2.48333
.72968
2.69931
.74052
2.94514
19
20
.69652
2.29512
.71320
2.48671
.72996
2.70315
.74680
2.94952
20
21
.69680
2.298J4
.71348
2.49010
.73024
2.70700
.74709
2.95392
21
22
.69708
2.30115
.71375
2.49350
.73052
2.71085
. 74737
2.95832
22
23
.69735
2.30418
.71403
2.49691
.73080
2.71471
.74765
2.96274
23
24
.69703
2.30721
.71431
2.50032
.73108
2.71858
.74793
2.96716
24
25
.69791
2.31024
.71459
2.50374
.73136
2.72246
.74821
2.97160
25
26
.69818
2.31328
.71487
2.50716
.73164
2.72635
.74849
2.97604
20
27
.69846
2.31633
.71515
2.51000
.73192
2.73024
.74878
2.98050
27
28
.69874
2.31939
.71543
2.51404
.73220
2.73414
.74906
2.98497
28
29
.69902
2 32244
.71571
2.51748
.73248
2.73800
.74934
2.98944
29
30
.69929
2.32551
.71598
2.52094
.7'3276
2.74198
.74962
2.99393
30
31
.69957
2.32858
.71026
2.52440
.73304
2.74591
.74990
2.99843
31
32
.69985
2.33166
.71054
2.52787
.73332
2.7'4984
.75018
3.00293
32
33
.70013
2.33474
.71082
2.53134
.73360
2.75379
.75047
3.00745
33
34
.70040
2.33783
.71710
2.53482
.73388
2.75775
.75075
3.01198
34
35
.70008
2.34092
.71738
2.53831
.73416
2.76171
.75103
3.01652
35
30
.70096
2.34403
.71766
2.54181
.73444
2.76568
.75131
3.02107
30
37
.70124
2.34713
.71794
2.54531
.73472
2.76906
.75159
3.02503
37
38
.70151
2.35025
.71822
2.54883
.73500
2.77305
.75187
3.03020
38
39
.70179
2.35336
.71850
2.55235
.73529
2.77705
.75216
3.03479
39
40
.70207
2.35649
.71877
2.55587
.73557
2.78166
.75244
3.03938
40
41
.70235
2.35962
.71905
2.55940
.73585
2.78568
.75272
3.04398
41
42
.70263
2.36276
.71933
2.56294
.73613
2.78970
.75300
3.04860
42
43
.70290
2.36590
.71961
2.56649
.73641
2.79374
.75328
3.05322
43
44
.70318
2.36905
.71989
2.57005
.73009
2.79778
.75356
3.05786
44
45
.70346
2.37221
.72017
2.57361
.73097
2.80183
.75385
3.06251
45
40
.70374
2.37537
.72045
2.57718
.73725
2.80589
.75413
3.06717
40
47
.70401
2.37854
.72073
2.58076
.73753
2.80996
.75441
3.07184
47
48
.70429
2.38171
.72101
2.58434
.73781
2.81404
.75469
3.07652
48
49
.70457
2.38489
.72129
2.58794
.73809
2.81813
.75497
3.08121
49
50
.70485
2.38808
.72157
2.59154
.73837
2.82223
.75526
3.08591
50
51
.70513
2.39128
.72185
2.59514
.73865
2.82633
.75554
3.09063
51
52
.70540
2.39448
.72213
2.59876
.73893
2.83045
.75582
3.09535
52
53
.70568
2.39768
.72241
2.60238
.73921
2.83457
.75610
3.10009
53
54
.70596
2.40089
.72269
2.60601
.73950
2.83871
.75639
3.10484
54
55
.70624
2.40411
.72296
2.60965
.73978
2.84285
.75667
3.10960
55
50
.70652
2.40734
.72324
2.61330
.74006
2.84700
.75695
3.11437
50
57
.70679
2.41057
.72352
2.61695
.74034
2.85116
.75723
3.11915
57
58
.70707
2.41381
.72380
2.62061
.74062
2.85533
.75751
3.12394
58
59
.70735
2.41705
.72408
2.62428
.74090
2.85951
.75780
3.12875
59
60
.70763
2.42030
.72436
2.6279G
.74118
2.86370
.75808
3.13357
60
265
XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS,
/
7
6°
7
7°
7
8°
7
9°
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.75808
3.13357
.77505
3.44541
.79209
3.80973
.80919
4.24084
0
1
.75836
3.13839
.77533
3.45102
.79237
3.81633
.80948
4.24870
1
2
.75804
3.14323
.77562
3.45664
.79266
3.82294
.80976
4.25658
2
3
.75892
3.14809
.77590
3.46228
.79294
3.82956
.81005
4.26448
3
4
.75921
3.15295
.77618
3.46793
.79323
3.83621
.81033
4.27241
4
5
.75949
3.15782
.77647
3.47360
.79351
3.84288
.81062
4.28036
5
6
.75977
3.16271
.77675
3.47928
.79380
3.84956
.81090
4.28833
6
7
.76005
3.16761
.77703
3.48498
.79408
3.85627
.81119
4.29634
7
8
.76034
3.17252
.77732
3.49069
.79437
3.86299
.81148
4.30436
8
9
.76062
3.17744
.77760
3.49642
.79-165
3.86973
.81176
4.31241
9
10
.76090
3.18238
.77788
3.50216
.7'9493
3.87649
.81205
4.32049
10
11
.76118
3.187&3
.77817
3.50791
.79522
3.88327
.81233
4.32859
11
12
.76147
3.19228
.77845
3.51368
.79550
3.89007
.81262
4.33671
12
13
.76175
3.19725
.77874
3.51947
.79579
3.89689
.81290
4.34486
13
14
.76203
3.20224
.77902
3.52527
.79607
3.90373
.81319
4.35304
14
15
.76231
3.20723
.77930
3.53109
.79636
3.91058
.81348
4.36124
15
16
.76260
3.21224
.77959
3.53692
.79664
3.91746
.81376
4.36947
16
17
.76288
3.21726
.77987
3.54277
.79693
3.92436
.81405
4.37772
17
18
.76316
3.22229
.78015
3.54863
.79721
3.93128
.81433
4.38600
18
19
.76344
8.22734
.78044
3.55451
.79750
3.93821
.81462
4.39430
19
20
.76373
3.23239
.78072
3.56041
.79778
3.94517
.81491
4.40263
20
21
.76401
3.23746
.78101
3.56632
.79807
3.95215
.81519
4.41099
21
22
.76429
3.24255
.78129
3.57224
.79835
3.95914
.81548
4.41937
22
23
.76458
3.24764
.78157
3.57819
.79864
3.96616
.81576
4.42778
"•'»
24
.76486
3.25275
.78186
3.58414
.79892
3.97320
.81605
4.43622
24
25
.76514
3.25787
.78214
3.59012
.79921
3.98025
.81633
4.44468
25
26
.76542
3.26300
.78242
3.59611
.79949
3.98733
.81662
4.45317
26
27
.76571
3.26814
.78271
3.60211
.79978
3.99443
.81691
4.46169
27
28
.76599
3.27330
.78299
3.60813
.80006
4.00155
.81719
4.47023
28
29
.76627
3.27847
.78328
3.61417
.80035
4.00869
.81748
4.47881
29
30
.76655
3.28366
.78356
3.62023
.80063
4.01585
.81776
4.48740
30
31
.76684
3.28885
.78384
3.62630
.80092
4.02303
.81805
4.49603
31
32
.76712
3.29406
.78413
3.63238
.80120
4.03024
.81834
4.50468
82
33
.76740
3.29929
.78441
3.63849
.80149
4.03746
.81862
4.51337
33
34
.76769
3.30452
.78470
3.64461
.80177
4.04471
.81891
4.52208
34
35
.76797
3.30977
.7'8498
3.65074
.80206
4.05197
.81919
4.53081
35
36
.76825
3.31503
.78526
3.65690
.802C4
4.05926
.81948
4.53958
36
37
.76854
3.32031
.7'8555
3.66307
.80203
4.06657
.81977
4.54837
37
38
.76882
3.32560
.78583
3.66925
.80291
4.07'390
.82005
4.55720
88
39
.76910
3.33090
.78612
3.67545
.80320
4.08125
.82034
4.56605
39
40
.76938
3.33622
.78640
3.68167
.80348
4.08863
.82063
4.57493
40
41
.76967
3.34154
.78669
3.68791
.80377
4.09602
.82091
4.58383
41
42
.76995
3.34689
.78697
3.69417
.80405
4.10344
.82120
4.59277
42
43
.77023
3.35224
.787'25
8.70044
.80434
4.11088
.82148
4.60174
43
44
.77052
3.35761
.78754
3.70673
.80462
4.11835
.82177
4.81073
44
45
.77080
3.36299
.78782
3.71303
.80491
4.12583
.82206
4.61976
45
46
.77108
3.36839
.78811
3.71935
.80520
4.13334
.82234
4.62881
40
47
.77137
3.37380
.78839
3.72569
.80548
4.14087
.82263
4.63790
47
48
.77165
3.37923
.78868
3.73205
.80577
4.14842
.82292
4.64701
48
49
.77193
3.38466
.78896
3.73843
.80605
4.15599
.82320
4.65616
49
50
.77222
3.39012
.78924
3.74482
.80634
4.16359
.82349
4.66533
50
51
.77250
3.39558
.78953
3.75123
.80602
4.17121
.82377
4.67454
51
52
.77278
3.40106
.78981
3.75766
.80691
4.17886
.82406
4.68377
52
53
.77307
3.40656
.79010
3.76411
.80719
4.18652
.82435
4.6S304
58
54
.77335
3.41206
.79038
3.77057
.80748
4.19421
.82463
4.70234
54
55
.77363
3.41759
.79067
3.77705
.80776
4.20193
.82492
4.71166
55
56
."7392
3.42312
.79095
3.78355
.80805
4.20966
.82521
4.72102
56
57
."7420
3.42867
.79123
3.79007
.80833
4.21742
82549
4.73041
57
58
."7448
3.43424
.79152
3.79661
.80862
4.22521
.82578
4.73983
58
59
."7477
3.43982
.79180
3.80316
.80891
4.23301
.82607
4.74929
59
60
."7505
3.44541
. 79209
3.80973
.80919
4.24084
.82635
4.75877
60
266
TABLE XVII.— NATURAL, VERSED SINES AND EXTERNAL SECANTS.
'
80°
81° 82°
83°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.82635
4.75877
.84357
5.39245
.86083
6.18530
.87813
7.20551
0
1
.82664
4.76829
.84385
5.40422
.86112
6.20020
.87842
7.22500
1
2
.82692
4.77784
.84414
5.41602
.86140
6.21517
.87871
7.24457
2
8
.82721
4.78742
.84443
5.42787
.86169
6.23019
.87900
7.26425
3
4
.82750
4.797'03
.84471
5.43977
.86198
6.24529
.87929
7.28402
4
5
.82778
4.80667
.84500
5.45171
.86227
6.26044
.87957
7.30388
5
G
.82807
4.81635
.84529
5.46369
.86256
6.27566
.87986
7.32384
6
7
.82836
4.82606
.84558
5.47572
.86284
6.29095
.88015
7.34390
7
8
.82864
4. "83581
.84586
5.48779
.86313
6.30630
.88044
7.36405
8
9| .82893
4.84558
.84615
5.49991
.86342
6.32171
.88073
7.38431
9
10
.82922
4.85539
.84644
5.51208
.86371
6.33719
.88102
7.40466
10
11
.82950
4.86524
.84673
5.52429
.86400
6.35274
.88131
7.42511
11
12
.82979
4.87511
.84701
5.53655
.86428
6.36835
.88160
7.44566
12
13
.83008
4.88502
.84730
5.54886
.86457
6.38403
.88188
7.46632
13
14
.83036
4.89497
.84759
5.56121
.86486
6.39978
.88217
7.48707
14
15
.83065
4.90495
.84788
5.57361
.86515
6.41560
.88246
7.50793
15
16
.83094
4.91496
.84816
5.58606
.86544
6.43148
.88275
7.52889
16
17
.83122
4.92501
.84845
5.59855
.86573
6.44743
.88304
7.54996
17
18
.83151
4.93509
.84874
5.61110
.86601
6.46346
.88333
7.57113
18
19
.83180
4.94521
.84903
5.62369
.88630
6.47955
.88362
7.59241
19
20
.83208
4.95536
.84931
5.63633
.86659
6.49571
.88391
7.61379
20
21
.83237
4.96555
.84960
5.64902
.86688
6.51194
.88420
7.63528
21
22
.83266
4.97577
.84989
5.66176
.86717
6.52825
.88448
7.65688
22
23
.83294
4.98603
.85018
5.67454
.86746
6.54462
.88477
7.67859
23
24
.83323
4.99633
.85046
5.68738
.86774
6.56107
.88506
7.70041
24
25
.83352
5.00666
.85075
5.70027
.86803
6.57759
.88535
7.72234
25
26
.83380
5.01703
.85104
5.71321
.86832
6.59418
.88564
7.74438
26
27
.83409
5.02743
.85133
5.72620
.86861
6.61085
.88593
7.76653
27
28
.83438
5.03787
.85162
5.73924
.86890
6.62759
.88622
7.78880
28
29
.83467
5.04834
.85190
5.75233
.86919
6.64441
.88651
7.81118
29
30
.83495
5.05886
.85219
5.76547
.86947
6.66130
.88680
7.83367
30
31
.83524
5.06941
.85248
5.77866
.86976
6.67826
.88709
7.85628
31
32] .83553
5.08000
.85277
5.79191
.87005
6.69530
.88737
7.87901
32
33
.83581
5.09062
.85305
5.80521
.87034
6.71242
.88766
7.90186
33
34
.83610
5.10129
.85334
5.81856
.87063
6.72962
.88795
7.92482
34
35
.83639
5.11199
.85363
5.83196
.87092
6.74689
.88824
7.94791
35
36
.83667
5.12273
.85392
5.84542
.87120
6.76424
.88853
7.97111
36
37
.83696
5.13350
.85420
5.85893
.87149
6.78167
.88882
7.99444
37
38
.83725
5.14432
.85449
5.87250
.87178
6.79918
.88911
8.01788
38
39
.83754
5.15517
.85478
5.88612
.87207
6.81677
.88940
8.04146
39
40
.83782
5.16607
.85507
5.89979
.87236
6.83443
.88969
8.06515
40
41 i .83811
5.17700
.85536
5.91352
.87265
6.85218
.88998
8.08897
41
42 .83840
5.18797
.85564
5.92731
.87294
6.87001
.89027
8.11292
42
43
.83868
5.19898
.85593
5.94115
.87322
6.88792
.89055
8.13699
43
44
.83897
5.21004
.85622
5.95505
.87351
6.90592
.89084
8.16120
44
45
.83926
5.22113
.85651
5.96900
.87380
6.92400
.89113
8.18553
45
46 : .83954
5.23226
.85680
5.98301
.87409
6.94216
.89142
8.20999
46
47j .83983
5.24:343
.85708
5.99708
.87438
6.96040
.89171
8.23459
47
48: .84012
5.25464
.85737
6.01120
.87467
6.97873
.89200
8.25931
48
49' .84041
5.26590
.85766
6.02538
.87496
6.99714
.89229
8.28417
49
50
.84069
5.27719
.85795
6.03962
.87524
7.01565
.89258
8.30917
50
51
.84098
5.28853
.85823
6.05392
.87553
7.03423
.89287
8.&3430
51
52
.84127
5.29991
.85852
6.06828
.87582
7.05291
.89316
8.35957
52
53
.84155
5.31133
.&5881
6.08269
.87611
7.07167
.89345
8.38497
53
54
.84184
5.32279
.85910
6.09717
.87640
7.09052
.89374
8.41052
54
55
.84213
5.33429
.85939
6.11171
.87669
7.10946
.89403
8.43620
55
56
.84242
5.34584
.85967
6.12630
.87698
7.12849
.89431
8.46203
56
57
.84270
5.35743
.85996
6.14096
.87726
7.14760
.89460
8.48800
57
58
.84299
5.36906
.86025
6.15568
.87755
7.16681
.89489
8.51411
58
50
.84328
5.38073
.86054
6.17046
.87784
7.18612
.89518
8.54037
59
60
.84357
5.39245
.86083
6.18530
.87813
7.20551
.89547
8.56677
60
267
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
/
84°
85°
86°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.89547
8.50677
.91284
10.47371
.93024
13.33559
0
1
.89576
8.59332
.91313
10.51199
.93053
13.39547
1
2
.89605
8.62002
.91342
10.55052
.93082
13.45586
2
3
.89634
8.64687
.91371
10.58932
.93111
13.51676
3
4
.89663
8.67387
.91400
10.62837
.93140
13.57817
4
5
.89092
8.70103
.91429
10.66769
.93169
13.64011
5
6
.897*1
8.72833
.91458
10.70728
.93198
13.70258
6
7
.89750
8 . 75579
.91487
10.74714
.93227
13.76558
7
8
.89719
8.78341
.91516
10.78727
.93257
13.82913
8
9
.89808
8.81119
.91545
10.82768
.93286
13.89323
9
10
.89836
8.83912
.91574
10.86837
.93315
13.95788
10
11
.89865
8.86722
.91603
10.90934
.93344
14.02310
11
12
.89894
8.89547
.91032
10.95060
.933?'3
14.08890
12
13
.89923
8.92389
.91661
10.99214
.93402
14.15527
13
14
.89952
8.95248
.91690
11.03397
.93431
14.22223
14
15
.89981
8.98123
.91719
11.07610
.93460
14.28979
15
16
.90010
9.01015
.91748
11.11852
.93489
14.35795
16
17
.90039
9.03923
.91777
11.16125
.93518
14.42672
17
18
.90068
9.06849
.91806
11.20427
.93547
14.49611
18
19
.90097
9.09792
.91835
11.24761
.93576
14.56614
19
20
.9C126
9.12752
.91804
11.29125
.93605
14.63679
20
21
.90155
9.15730
.91893
11.33521
.93634
14.70810
21
22
.90184
9.18725
.91922
11.37948
.93663
14.78005
22
23
.90213
9.21739
.91951
11.42408
.93692
14.85208
23
24
.90242
9.24770
.91980
11.46900
.93721
14.92597
24
25
.90271
9.27819
.92009
11.51424
.93750
14.99995
25
26
.90300
9.30887
.92038
11.55982
.93779
15.07462
26
27
.90329
9.33973
.92067
11.60572
.93808
15.14999
27
28
.90358
9.37077
.92096
11.65197
.93837
15.22607
28
29
.90386
9.40201
.92125
11.69856
.93866
15.30287
29
30
.90415
9.43343
.92154
11.74550
.93895
15.38041
30
31
.90444
9.46505
.92183
11.79278
.93924
15.45869
31
32
.90473
9.49685
.92212
11.84042
.93953
15.53772
32
33
.90502
9.52886
.92241
11.88841
.93982
15.61751
33
34
.90531
9.56106
.92270
11.93677
.94011
15.69808
34
35
.90560
9.59346
.92299
11.98549
.94040
15.77944
35
36
.90589
9.62605
.92328
12.03458
.94069
15.86159
36
37
.90018
9.65885
.92357
12.08040
.94098
15.94456
37
38
.90647
9.69186
.92386
12.13388
.94127
16.02835
38
39
.90676
9.72507
.92415
12.18411
.94156
16.11297
39
40
.90705
9.75849
.92444
12.23472
.94186
16.19843
40
41
.90734
9.79212
.92473
12.28572
.94215
16.28476
41
42
.90763
9.82596
.92502
12.33712
.94244
16.37196
42
43
.90792
9.86001
.92531
12.38891
.94273
16.46005
43
44
.90821
9.89428
.92560
12.44112
.94302
16.54903
44
45
.90850
9 92877
.92539
12.49373
.94331
16.63893
45-
46
.90879
9.96348
.92618
12.54676
.94360
16.72975
46
47
.90908
9.99841
.92647
12.60021
.94389
16.82152
47
48
.90937
10.0.3356
.92676
12.65408
.94418
16.91424
48
49
.90966
10.06894
.92705
12.70838
.94447
17.00794
49
50
.90995
10.10455
.92734
12.76312
.94476
17.10262
50
51
.91024
10.14039
.92763
12.81829
.94505
17.19830
51
52
.91053 J
10.17646
.92792
12.87391
.94534
17.29501
52
53
.91082
10.21277
.92821
12.92999
.94563
17.39274
53
54
.91111
10.24932
.92850
12.98651
.94592
17.49153
54
55
.91140
10.28610
.92879
13 04350
.94621
17.59139
55
56
.91169
10.32313
.92908
13.10096
.94050
17.69233
56
57
.91197
10.36040
.92937
13.15889
.94679
17.79438
57
58
.91226
10.39792
.92966
13.21730
.94708
17.89755
58
59
.91255
10.43569
.92995
13.27620
.94737
18.00185
59
60
.91284
10.47371
.93024
13.33559
.94766
18.10732
60
268
TABLE XVII.— NATURAL VERSED SINES AND EXTERNAL SECANTS.
/
87°
88°
89°
/
Vers.
Ex. sec.
Vers.
Ex. sec.
Vers.
Ex. sec.
0
.94766
18.10732
.96510
27.65371
.98255
56.29869
0
1
.94795
18.21397
.96539
27.89440
.98284
57.26976
1
2
.94825
18.32182
.96568
28.13917
.98313
58.27431
2
3
.94854
18.43088
.96597
28.38812
.98342
59.31411
3
4
.94883
18.54119
.96636
28.64137
.9&371
60.39105
4
5
.94912
18.65275
.96655
28.89903
.98400
61.50715
5
6
.94941
18.76560
.96684
29.16120
.98429
62.66460
6
7
.94970
18.87976
.96714
29.42802
.98458
63.86572
7
8
.94999
18.99524
.96743
29.69960
.98487
65.11304
8
9
.95028
19.11208
.96772
29.97607
.98517
66.40927
9
10
.95057
19.23028
.96801
30.25758
.98546
67.75736
10
11
.95086
19.34989
.96830
30.54425
.98575
69.16047
n
12
.95115
19.47093
.968i:9
30.83623
.98604
70.62285
12
13
.95144
19.59341
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31.13366
.98633
72.14583
13
14
.95173
19.71737
.96917
31.43671
.98662
73.73586
14
15
.95202
19.84283
.96946
31.74554
.98691
75.39655
15
16
.95231
19.96982
.96975
32.06030
.98720
77.13274
16
17
.95260
20.09838
.97004
32.38118
.98749
78.94968
17
18
.95289
20.22852
.97033
32.70835
.98778
80.85315
18
19
.95318
20.36027
.97062
33.04199
.98807
82.84947
19
20
.95347
20.49368
.97092
33.38232
.98836
84.94561
20
21
.95377
20.62876
.97121
33.72952
.98866
87.14924
21
2-2
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20.76555
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34.08380
.98895
89.46886
22
23
.95435
20.90403
.97179
34.44539
.98924
91.91387
23
2i
.95464
21.04440
.97208
34.81452
.98953
94.49471
24
25
.95493
21.18653
.97237
35.19141
.98982
97.22303
25
26
.95522
21.33050
.97266
35.57633
.99011
100.1119
26
27
.95551
21.47635
.97295
35.96953
.99040
103.1757
27
28
.95580
21.62413
.97324
36.37127
.99069
106.4311
28
29
.95609
21.77386
.97353
36.78185
.99098
109.8966
29
30
.95638
21.92559
.97382
37.20155
.99127
113.5930
30
31
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22.07935
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37.63068
.09156
117.5444
31
32
.95696
22.23520
.97440
38.06957
.99186
121.7780
32
33
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22.39316
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38.51855
.99215
126.3253
33
34
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22.55329
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38.97797
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131.2223
34
35
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22.71563
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39.44820
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136.5111
35
36
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22.88022
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39.92963
.99302
142.2406
36
37
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23.04712
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40.42266
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148.4684
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23.21637
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155.2623
38
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23.38802
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41.44525
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47.42241
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311.5230
49
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50
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48.82576
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380.9723
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52
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26.28981
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51.09027
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571.9581
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60
269
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