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Full text of "Bowditch's Useful Tables"

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BOWDITCH'S 



USEFUL TABLES. 



SECOND BDITIOH. 



NBW-TOBK: 

PUBLISHED BY E. i G. W. BLBNT, PEOPEIETOES, 

No. 179 WATER STREET, 

OORMBB OP BDU.UIO tUP. 



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(. HAfiVARO COLLEfit MSm 



Entered aceordiDg to Act of Con^eM, in the year of out Loid 18G6, bj 

E. & G. W. BLUHT, 

n the Clerk'a Office of the District CooR of the SonUwni District of New-Tork. 



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PREFACE. 



The Tables found in the following pages are taken from the 
Practical Navigator. They have been printed at the suggestion of 
my friend, Pro&ssor Pibboe, whose remarks on the same are 
annexed. 

I trust that they will be acceptable to those who require the aid 
of Logarithms in making their calculations, and may induce others 
to become acquainted with the power they may acquire from their 
use. 

Tables L md II. were oalcolated by the natural sines taken from 
the fourth edition of Sherwin's Logarithms, which were previously 
examined, by differences; when the proof-sheets of the first edition 
were examined, the numbers were again calculated by the natural 
sines in the second edition of Hutton's Logarithms; and if any differ- 
ence was found, the numbers were calculated a l^ird time by Taylor's 
Logarithms. 

Table in. contains the meridional parts for every degree and min- 
ute of the quadrant, calculated by the following rule, viz: 

M = T X 0.0007915704468, 

in which T is the log. tangent less radios of half the latitude, increas- 
ed by 46^^, taken to seven places of figures, reckoned as integers; and 
M is thfe meridional parts of that latitude in milea. 

Table X. contains the distances at which any object is visible at sea, 

caloulated by the rule given in § 195 of Yince's Astronomy, in which 

' the terreBtrial refraction is noticed. This drcnmstance was neglected 

nigti/cdavGoOglc 



by Boberteon, Moore, and others, and of course their tables we erro- 

oeous. The rule g^ven by Mr. Vince, expressed in logarithms, is this: 

0.1316fi 4- half log. of height in feet— log. of dktuiee in statute miles. 

In reducing the rule to logarithmB, the radius of the earth was called 
20911790 feet, which agrees nearly with the mean value given in De 
la Laade's Aatronomy. 

Table X. A. contains the parallax in altitude of a planet. 

Table XII. contains the refraction of the heavenly bodies, calculated 
by Dr. Bradley's rule, supposing the re&action to be as the tangent of 
the apparent zenith distance ol the object, decreased by three tirnes 
the refraction, the horizontal refraction being supposed equ&l to 33/, 
The role, expressed in logarithms, is this: 

Log. iaog. (app. mb. diat.— 3. nfirmction) — 8.3436fi34— log.of ref insec. 
The numbers calculated by this rule i^ree nearly with those published 
in Table I. of Maalcelyne's Bequisite Tables. 

Table Xm. contains the dip of the horizon for various heights, cal- 
culated by the rule in § 197 of Vince'a Astronomy, in which the ter- 
restrial refraction is allowed for. All numbers of this table differ a 
little from those published by Dr. Maskelyne, who had made a differ- 
ence allowance for that refraction. The rule given by Mr. Vince, ex- 
pressed in logarithms, is, 

1 .771371 1 + half the log. of the height in feet — log. dip in aeeonds. 

Table XIV. contains the bud's parallax in altitude, calculated by 
multiplying the natural sine of the apparent zenith distance by the 
sun's horizontal parallax 8}". The numbers in this table agree with 
thoae published by Dr. Maskelyne. 

Table XY. contains the 

Angmentation of the noon'i Hmi-diBmeter — 16".690 X sine D 'a altitude. 
This table agrees nearly with that published by Maskelyne. 

Table XVI. contains the dip for various distances and heights, cal- 
culated hj this role: 

Jim, — d+0.6mUx—, 



ny Google 



in which D represents the dip in miles or minutee, d the distance of 
the land in sea-miles, and k the height of the eje of the obserrer in 
feet. 

Table XXI., for turning time into degrees, is the same as in other 
works of this kind. 

Table XXII. contains the proportional logarithms for three hours. 
The numbers of this table may be found by subtractiDg the logarithm 
of the time in seconds from the log. of 10800", or, which is the same 
thing, by the following rule : 

Prop. log. T 1- 4.0334738 — log. of T in ■econds, 
neglecting the three right-hand figures of the remainder. 

Table XXIV. was compared with Sherwin's and Button's tables, 
and a few errors corrected. 

Table XXV. contains the log. sines, log. tangents, etc., correspond- 
ing to points and quarter points of the compass. This was compared 
with Sherwin's, Hutton's, and Taylor's logarithms. 

Table XXVI., containing the common logarithms of nimiberB, was 
compared with Sherwin's, Button's, and Taylor's logarithms. 

Table XSVII. contains the common log. sines, tangents, secants, 
etc This was compared with Sherwin's, Hutton's, and Taylor's tables. 
Two additional columns are given in this table, which are very con- 
venient in finding the time from an altitude of the sun; also, three col- 
umns of proportional parte for seconds of space; and a small table at 
the bottom of each page, for finding the proportional parte for seconds 
of time. The degrees are marked to 180°, which saves the trouble of 
subtracting the given angle from 180° when it exceeds 90°. 

Table U. To change mean solar time into sidereal time. 

Table LIT. To diange sidereal time into mean solar time. 

Table on page 76 of the text, contains the correction in minutes, 
to be added to the Middle Latitude to obtain the correct Middle 
Latitude. 

J. Inobbsoll Bowditch. 
Boston, 1844. 

\ 

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ny Google 



SBMAfiES OF PBOFESSOB PIEBCE. 



By the admirable contriyancc of logarithtiiB, the nazne of ther inven- 
tor was raifled tigh in the list of the bene&ctois of his race and the pro- 
motera of science. All the numerical calculations in the higher de- 
partments of theoretical and practical mathematics are performed by 
their aid, and the success of the computer principally depends upon 
the skill and precision 'with which he uses his logarithmic tables. It 
is worthy of iaqniry, then, whether iostmction in their use should not 
be more common in the schools ; they ought to be studied, both as the 
most remarkable instrument for &dUtatiiig calculations, and as a nse- 
fal means of forming the mind to habits of accuracy. Discretion should 
be exercised in the choice of the tables, fixr, if ill-constructed and inac- 
curate, they will certainly lead to awkward and slovenly forms of cal- 
culation. They should be well proportioned in their parte ; and, if of 
small extent, they should not be carried beyond five places of decimals. 
It is a great mistake to cany the small tables to six or seven places of 
decimals; without any valuable increase of accuracy, they are, thus, 
rendered clumsy and inconvenient. Tables of seven places should be 
proportionally extensive, as the large ones of Taylor ; while those of 
six places are of little value — for they are not delicate enough for the 
higher orders of calculation, and are not needed for inferior operations; 
but, on the contrary, the disproportionate labor of using them, destroys 
that brevity of computation, which is the sole recommendation of lo- 
gaiithma. None of the smaller tables can be compared in accuracy 
with those of Dr. Bowditch ; for, besides the repeated and rigid exam- 
inations to which they have been subjected by their author and his 
sons, they have been so long in common use, that no important error 
can have escaped detection. Dr. Bowdltch's singular practical tact is 
also exhibited in their skilful arrangement, of which they are models 
deserving careful study. Feeling the want of such a set of tables for 
popular use, I have u^;ed upon Aeir proprietors the expediency of 



ny Google 



, Vm BBKARKB OF FB0FE830B FIERCE. 

publisluDg the following selection &om them, which will, I hope, be 
regarded as judiciooslj made. 

This may not be thought an improper occasion to press upon teach- 
ers the inezpedienoj of forcing the youthiul intellect to a premature 
oomprehensioQ of abstruse mathematical reasoning, at the expense of 
foiling to impart familiaritj with the forma of calcolatioD, and readi- 
ness and accora^ in the use of figures, at the flexible age when the 
seeds of habit most readily germinate. Teach the lad how to obtun 
results, and you inspire him with the surest stimulus to investigate and 
apprehend the nature of the process. Imbtie him with the spirit of 
accuracy, and you give him a taste for definite and precise thought, 
which is the solid foundation of true science, and one of the best anti> 
dotes to the laxity of reasoning and -vagueness of researoh with which 
the atmosphere of the times' is infected. 

Benjajun Pibbce, 
Perkins Prt^stor (^Astronomy and Maihematia, 
HARVARD UNTVBBSirr. 

Cambridge, 1844. 



ny Google 



TABLE I. [F»B» 1 
Difeience of Latitude aad Depirtare for f Point. 
N-iE. N-iW. S.iE. S.JW. 


Dttl. 


L»i. 


Dep. 


Din. 


Lai. 


I)ep. 


Disi. 


L.. 


Dep. 


Diat. 


Lat. 


Dtp. 


Dist. 


L». 


D.p. 


3 

4 
5 
6 

9 

i3 
14 
i5 
i6 

i8 
•9 


o3 
o4 
o5 
o6 

o8 
09 

i3 
14 
i5 
16 

18 
19 


I 


00 


3 
3 
4 
4 
5 

T 
6 
6 

5 

9 
9 


61 
6> 
63 
64 
65 
66 
67 
68 
69 


60 
61 
65 
63 
64 
65 
66 

69 


9 
9 
9 
9 
9 
9 
9 
9 
9 


o3.o 
o3.o 
o3.i 
o3,i 
o3.a 
o3.a 
o3.3 
o3.3 
o3.4 
0I4 


53 
54 

=6 

S 


I23 

T24 
135 
136 

138 
159 


9 
9 
9 

I 


o5 
06 
06 
06 
06 
06 
06 
06 
06 
06 


9 

3 
3 

4 


iBi 

85 

83 

84 

85 

89 
191 

n 
93 

1 

96 

98 
99 

o3 
04 
o5 
06 

3 

09 


180 
181 

i83 

.84 
i85 
186 
1B7 

Sag 


8 

3 

3 

i 

8 
8 


08 
08 
09 
09 
09 
09 
09 
09 
09 


9 
9 

3 

3 


34. 

45 
43 
44 
45 
46 

47 

46 

t 


340 

34. 

545 
543 
144 
145 

346 

947 

348 

349 




.1.8 
II. 9 
"-9 


73 
74 
75 
76 

78 

S 


70 
71 

! 

78 
79 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


o3.5 
o3.5 
o3.6 
o3.6 
o3.7 
o3.7 
o3.8 

03.9 
03.9 


33 

33 
34 
35 
36 

ll 
39 
4o 


,3o 
i3i 

l35 

■ 33 

i34 
i35 
i36 
i37 
1 38 
.39 


b 

8 
8 
8 
8 

8 


06 
06 
06 
oQ 
06 
06 
06 
06 
06 
06 


4 
5 
5 
6 
6 

9 


J90 
191 
19a 
'93 

1 

196 

;?? 

[99 


8 

8 

8 
8 
8 
8 
8 


09 
09 
09 
09 
09 
09 
09 
09 
09 
09 


4 
4 
5 
5 
6 
6 

S 


5» 
53 
54 
55 
56 

ll 


35l 
353 

553 

ii 

i55 

lU 

359 




.2.4 
11.4 

12.5 

12.5 
12.6 

13.6 

ia.7 

\l-I 


1^ 


a3 
34 
35 
36 

118 

^2 


I 


I 




s 

8, 


80 
61 

83 
84 
85 
86 
87 
88 
89 


9 
9 
9 
9 
9 
9 
9 
9 
9 


04.0 
04.0 
o4.i 
o4.i 

04.3 

aj 

o4.3 
o4.4 
04.4 


i4i 
43 
43 
44 
45 
46 

47 

48 

n 


140 
i4i 

l43 

i43 
i44 
145 
i46 

]% 
.49 


8 

8 
8 
8 
8 
8 
8 


07 
07 
07 
07 


9 

3 
3 
4 


303 
504 
505 
506 

309 


8 
8 
8 
8 

8 


09 
09 


9 

9 

3 
3 


3b 1 

62 

63 
64 
65 
66 
67 
68 
69 


3bO 

361 
363 

363 

564 

365 
366 
367 
368 
569 




13.8 

15.9 

i3.o 
i3.i 
i3.i 

.3.3 

l3.3 
.3.3 


3. 

31 
33 
34 
35 
36 
3? 
38 

i 

4i 
4j 
43 
44 
45 
46 

3i 

^^ 


3i 
3j 
33 
34 
35 
36 
37 

1 


I 


ol 


6 
6 
6 
7 

8 
8 
9 
9 


9' 

II 
i 

9^ 
99 


90 
91 

1 

99 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


o4,5 
04.5 
04.6 
04.6 
04.7 
o4.7 
04.8 
od.8 
04.9 


.5. 
53 
53 
54 
55 

56 
57 
58 


t5o 
i5i 

1 53 

.53 

t54 
t55 
i56 
1 57 
i58 
1 59 


8 
8 
8 
8 
8 
6 
I 
8 
8 


07 
07 
07 

07 
07 


4 
5 
5 
6 
6 
7 

I 

8 
9 


.3 

i4 
.5 
16 

\l 
<9 


ill 

1.4 

515 
5l6 

519 


7 
7 
7 
7 

7 


\t 


4 
4 
5 
5 
5 
6 
6 


73 
74 
75 
76 

78 


370 
37' 

373 
373 

=74 
375 
376 

'79 




i3.3 
i3.4 
i3.4 
i3.5 
i3 5 
i3.6 
i3.6 


4i 
4i 
43 
43 
44 
45 
46 

ts 
49 


9 
9 
9 
9 
9 
9 
9 
9 
9 


03 


3 

3 
4 
4 
5 


o3 
04 
o5 
06 

09 


io3 
104 
io5 
106 

108 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


<=5.<= 
o5.o 
o5.T 
o5.i 
o5.3 
o5.a 
o5.3 
o5.3 
o5.3 
o5,4 


63 

63 
64 
65 
66 

S 
69 


.60 
161 
163 
i63 
i64 
i65 
.66 
■67 
168 
.69 


8 
8 
6 

8 

8 
8 
8 
8 


07 

08 
08 
08 

08 
08 
08 
08 


9 
9 

3 
3 


33 

34 

35 

36 

ll 
1.' 


353 

336 

III 

239 






8 
9 
9 

3 


38 1 

85 
83 
64 
85 

i 
89 
90 


580 
28. 
262 
263 
a84 
385 
286 

III 
289 




i3.8 
13.9 

i3.9 
■4.0 
14.0 
14. 1 
14.1 
14.3 

14.2 


5a 
53 
54 
55 
56 
5? 
58 


to 
5i 
5i 
53 
54 
55 
56 
57 
58 

5q 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


03 


6 
6 
6 
7 
7 

8 
9 
9 


w 

i4 
i5 
16 

;s 

'9 


1!3 

116 

MS 

119 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


o5.4 
o5.5 
o5.5 
o5.6 
o5.6 
o5.7 
o5,7 

o5.a 

05.8 


'i 

74 


ii 
174 

179 


8 
8 
8 
8 
8 
8 


08 
08 

ofl 
:>8 
08 
08 
08 
08 


4 
4 
5 
5 
6 
6 

8 
8 


3a 
33 
34 
35 
36 
37 

i 


33o 

53 1 
335 

333 

334 

335 
536 
337 
538 
539 






4 
4 
5 

5 
6 
6 

7 

I 


39. 
93 

96 

3S 


290 
291 
593 

1 

■IS 

299 


6 
6 
6 
6 
6 
6 


.4.3 
14.4 

\ii 

.4.5 
14.6 
14.6 
14.7 

i4.7 


lliit 


Dep. 


LbL 


Dlsi 


nep. 


IM. 


Di.l.| D^p. 


T,ai. 


Di.i 


Dep. 


L8I. 


Diit 


D«p. 


L*L 


B,1H. E-ia. W.*N. W.JS. [FornPrfnl*- 1 



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oisi. 


La. 


Dep. 


Disl. 


La. 


Dep. 


Dist 

'3 
a4 

35 

26 

It 


Laf. 


Dop. 


DiiL 


u.. 


Dep. 


Diit. 


Lat. 


-^\ 


3 

4 

5 
6 

8 
9 


o3 
o4 
o5 
o6 

■s 

09 


I 




3 
4 
5 
6 

I 

9 


6] 

63 

63 
64 
65 
66 
67 
68 
69 


61 

63 
64 
65 
66 
67 
68 
69 


7 
7 


06 
06 
06 
q6 
06 
06 
06 
06 
06 
06 


3 
4 
5 
6 

9_ 

3 
4 
4 
5 
6 

2 


ISO. 4 

131.4 
123.4 

133.4 
134.4 
135.4 
136.4 

138:4 
139.4 


1^ 


9 


63 
84 
85 
86 
87 

89 
90 


180.. 
181.! 

■ 84.1 
i85.i 
186.1 
187.. 

!89;1 


'7 

iG 
16 
16 
18 
18 
18 


I 
9 

3 

4 
5 
6 


i4i 
43 
43 
44 
45 
46 

47 
48 

t 

157 
51 
53 
54 
55 
56 
57 
58 

1 


339.8 
340.8 
341.8 
143.8 
343.8 

i45!b 
346.8 
347-6 
148-6 

iSoie 
15..8 
i5i.8 
i53.8 
i54.8 
355.8 
356-8 
357-8 
i58.7 


33 

i3 
i3 
i3 
34 

3J 

34 
34 
34 
34 
35 
35 
35 
25 
35 
35 


6 

8 
9 

3 

5 
"6 

I 
9 

3 

4 
5 


i3 
U 
i5 
i6 

11 

'9 
11 

34 

a5 

36 


Is 

i4 
i5 
■6 

i8 


9 

9 
9 
9 
9 
9 
9 
9 
9 


i 


3 
4 

S 
9 


71 

?l 

74 
75 
76 

78 


70 
71 

73 

79 


6 
6 
6 
6 
6 
6 
6 
6 


07 
07 
07 
07 


33 

33 
34 
35 
36 

S 


130.4 
i3i.4 
133.4 
133.4 
134.3 
135.3 
136.3 
137.3 
138.3 
139.3 


i3 

i3 
i3 
i3 
i3 
i3 
i3 
i3 




191 

9= 
93 

$ 

99 


190.1 
191.1 

:p:; 

.94.1 

196.1 

197.0 

198.0 


.8 
18 
18 
'9 
■9 
'9 
'9 
'9 
■9 
■9 


I 

9 

3 
4 

5 
6 


a3 

34 

i5 
i6 
27 

39 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 




3 

4 

5 
5 
6 

9 


83 
83 
84 
85 
86 
87 

89 
90 


80 
81 
81 

83 

84 
85 
86 
87 

89 


6 
6 
6 
6 
6 
6 
6 
6 
6 
6 


07 
08 
oB 
08 
08 

08 
OS 
08 
oS 


9 

I 


i4i 

41 
43 

1 
S 


140.3 
141.3 
143.3 
143.3 
144.3 
145.3 
146.3 
■ 47-3 


i3 

14 
i4 
14 
i4 
14 
i4 
14 
14 




o3 
04 
o5 
06 

09 


5o3.o 

104.0 

ao5.(. 
106.0 
307.0 

308.0 

30,. 


'9 
'9 
1? 


I 

9 

3 
4 
5 
6 


61 
63 

64 
65 
66 
67 
68 
69 
70 


361.7 
361.7 

363-7 
364.7 
365.7 
366.7 


35 
35 
35 

36 
36 

36 

16 
16 
16 


6 
9 

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73 
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337.3 

338.3 

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341.0 
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85.6 
85.9 
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87.5 
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85 
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89 
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76 

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61 
81 
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44 
45 
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135.6 
136.5 
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196 

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64 
65 
66 
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35a. 3 
353.3 

354.3 


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85 
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3j.3 

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33.4 
33.7 


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59 
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43 
44 
45 
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35.4 
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63 
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65 
66 
67 
68 
69 
70 


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154.4 
[55.4 
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54.3 
54.6 

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55.6 
55.9 
56.3 
56.6 
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76.1 
76.5 
76.8 

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83 
64 
85 
85 
87 
88 
89 
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365.5 
367.4 
368.3 
369.3 
370.3 

373 !o 


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56.5 


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57.6 
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60,3 
60.6 


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33 
34 
35 
36 
37 
38 


3[8 

319 

133 
334 
335 
336 




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Diflferenoe of Latitude uid Departure for 3 Points. 

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DU. 


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Dep. 


Dill 


Lu. 


D*p. 


Dirt 


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Dirt 


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D.p 


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D»p. 


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6 

7 

9 


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03.7 
04.6 
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06.5 
07.4 
ofi,3 


o3 
o3 
o3 


4 

8 

5 

! 

4 


61 
63 
63 
64 
65 
66 
67 

69 
70 


56.4 

U:l 
59.. 
60.1 
6..0 
61.9 

63.8 
63.7 
64-7 


33.3 
33.7 
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34.5 

14.9 
35.3 
35.6 
36.0 
36.4 
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11 
34 

35 
36 

38 

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V.l:l 

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m5.5 
1.6.4 
117.3 
118.3 
119.3 


46 
46 
47 
47 
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48 
48 

t 

49 


3 

7 

5 

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6 
4 


181 
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83 

84 
85 
86 
B7 

89 
90 


167. 
168. 

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173!. 

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174.6 
175. 


69.3 
69.6 
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34. 
43 
43 
44 
45 
46 
47 
48 


113.6 

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336.4 
337.3 
338.3 

331.0 


95.7 


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19 


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17-6 
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07 


6 
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73 
74 

75 
76 

78 

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66,5 
67.4 
68.4 
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73-9 


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30.3 

3o.6 


til 
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35 
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37 
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53 
53 


5 

4 
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73:5 

74.6 

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76.5 


53 

53 
54 
55 
56 

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331.9 

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333.7 
334.7 

335.6 
336.5 
337.4 
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339.3 

340. 3 


96.1 

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i 

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98.7 
99.1 
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09 
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81 

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89 
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75.8 
76.7 
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78.3 

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8a. 3 
83.1 


3i.o 
3(.4 

3. .8 
33.1 
33.5 

33.5 
33.7 
34.1 
34.4 


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43 
43 
44 
45 
46 
47 

48 

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l3l.3 

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134.0 
134.9 
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54 
54 
54 
55 
55 
55 
56 
56 
57 
57 


3 

5 

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6 

4 


1B5.7 
186.6 
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189.4 
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36. 
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63 
64 
65 
66 

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69 
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343.1 

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343.9 
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345,8 
346.7 
347-6 
348,5 
349-4 


99-9 

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loU 
101.8 

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103!? 


si 
33 
34 
35 

36 
37 
38 

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19.6 
35.5 
3[.4 
33.3 
33.3 
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35.1 
36.0 
37.0 


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14 
14 
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34.8 
35.3 
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36.7 

p 


53 
53 
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55 
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12:5 

141.4 
141.3 
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145.0 
146.0 
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58 
58 

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60 

60 
61 


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5 
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16 

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194.9 

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303!: 


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83.5 
83.7 
83.0 
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37. 

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108.7 
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109.4 
109.8 

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41 

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46 

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43.5 
43.4 
44.3 
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lb 
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16 
16 
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63 

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64 
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153.4 
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63 

63 

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33 

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36 
37 
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304.3 

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306.0 

306.9 

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311.5 

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85.3 
85.7 
86.1 
86.5 

87.6 
88.0 


83 

83 

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86 
87 

89 
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S:? 

361.5 

363.4 

363.3 

364.3 

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367.0 
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47.. 
48.0 

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54.5 
55.4 


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103 !5 

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391 

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369.8 

370.7 
371.6 

373.5 
373.5 
274.4 
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N.E.byE.iE. S.E.byE.*E. N.W.byW^W. S.W.bjW.iW. (For 5J PoinW. | 



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P«t«io] TABLE I. 

Difference of Latitude and Departure ftw 2J Foinw. 
M.NJ:.iE. N.N.W4W, aS.E,JE. S.S.W.^W. 


Dill 


Ur 


Dep. 


Dill 


La. 


D.p. 


l>«i 


Lai. 


D,p- 


Dill 


Lai. 


85.3 
85.8 
B6.3 

88.6 
89.1 
89.6 


Diiu 


Lai. 


Dep. 


3 
4 
5 

6 

I 
9 


SI 

03.6 

()3.5 
o4.4 
o5.3 
o6.j 
07.1 


o3 
03 
04 


5 
9 
4 
9 
4 

3 
B 


61 
63 
64 
65 
66 
67 

69 

70 


53 
56 

60 
6j 


^3 


ab.8 
39.3 

3o.6 
3i.] 
3i.6 
3a. 1 
3a.5 
33-0 


33 

34 
a5 
a6 

38 

12 


108 
109 

m3 
■ 14 


6 
5 
4 

8 

6 


57,0 
57.5 
58.0 
56,5 
58,9 

6d,8 
61,3 


Ba 
83 

84 
85 
86 
87 
89 
9° 


IS 

.61 
16a 

i63 
.64 
i64 
i65 
166 
■67 


5 
4 
3 

i 
2 


1 

44 

45 
46 
47 

48 

t 


313.4 
3.4.3 

3(5.3 
3.6.1 


ii5ji 
1.5.5 
ii6x) 
..64 
,.6-9 
.174 
.,7.8 


i3 
i4 

i5 
i6 

;i 

>9 


09.7 
J0.6 
■ ■.5 
12.3 
l3.a 

■4.1 
i5.o 
i5,o 

.ei 
,7.6 


o5 
o5 
06 
06 

oS 
oB 
09 
09 


7 
G 
5 
5 
4 


73 

1 

78 
2^ 
-8-.' 

83 
83 
84 
85 
86 
87 
88 
89 
9.. 


6a 
63 

66 
67 
67 
68 
69 
70 


j 


3J.i 

35,8 
36,3 
35.8 
37.a 
37-7 


iJi 
3a 
33 
34 
35 
36 
37 
38 


1 16 

;;^ 
119 
119 

ia3 


4 
3 

% 

6 

5 


63.3 
63-7 
63.3 
63.6 
64-1 
64.6 
65, r 
65.5 
66.0 


19E 

1 

99 


.69 
170 
17' 

ii 

174 

175 
■76 


3 
9 

6 
5 
4 


90:5 

91.9 

93J 

■$% 

S-3 


Sa 
53 
54 
55 
56 
57 
58 


1J1.4 

133! 1 
334.0 

VAX 

aa6.7 
137.5 
138.4 
339.3 


.1B.8 
■ .9.3 

"9-7 

.30.7 

iai!6 

iiile 


33 

34 

36 


18.5 
34.7 

35,6 
36.5 


I3 
.3 
14 


8 

3 

3 
7 


i 
It 

75 
76 

78 
79 




3;.6 

4o.i 
40.5 
4i.o 
4T.5 
43.0 


-4. 

4a 

t, 

45 
46 
47 
48 

g 


134 
135 
136 

137 

\'i 

i3i 

1 33 


4 

i 

G 
5 

4 
3 


S3 

68.8 
69.3 

70. 3 


o3 
04 
o5 
06 

08 
09 


178 
179 

'79 
Iflo 
i8[ 

■ 8a 

■ 63 
.84 
.85 


I 

I 
A 
3 


94.B 
,5.1 

^.5 

99.0 


i6t 
63 
63 
64 
65 
65 

S 


a3i.l 
33 (.9 
333 .S 

333.7 
334.6 
335.5 
336.4 

337.3 

338.1 


133,5 
.14,0 

.344 

\\n 

.16,8 
.37,3 


3a 
33 
34 
35 
36 

ll 
39 

4o 


Hi 

33.5 
34.4 
35.3 


M 
i5 
t5 
[6 
]6 

'7 

\l 
18 



6 

5 

4 
9 
4 
9 


9' 

i 

99 


80 

8a 
83 
Bi 
85 
86 
87 


I 
i 
3 


43,9 
43-4 
43.B 
44.3 
44 .8 
45.3 
45-7 
46.3 
46.7 
47-" 


ibi 

53 

53 
54 
55 
56 
57 
58 

1 


i34 
i34 
i35 
i36 
i37 
i38 
139 
140 
i4i 


i 

6 

5 
3 


73£ 

% 

74.0 

74.5 
75.0 
754 


■ 3 

\i 

16 

18 
'9 


187 
187 
.88 
T89 
190 
.91 
.93 
193 
194 


8 

6 
5 
4 
3 


99.5 

99-9 

1004 

Zi 

10. .8 

I03.3 
I03.8 

io3.3 

.03.7 


73 

77 
78 


341.6 
343.5 
343.4 
344.3 
345.3 
346.. 
346.9 


;S 

.3(1.. 

i3o.e 

.3 1.0 

.3i.5 
T3a.o 


4i 
4i 
43 

1 

47 

48 


36.= 
37.0 

lit 

tl 
4>.5 
43.3 

43.3 
44.1 


19 
'9 

33 
33 


3 
3 

6 
6 


o3 
o4 
o5 
06 

09 


89 
90 
90 
9> 
93 


8 

I 
5 
4 


47.6 
48.. 
48.6 
49.0 
49,5 
5o,o 
50.4 

SJ 

Sl.9 


ibr 
63 
63 
64 
65 
66 
67 
68 
69 


14a 

143 
144 
145 
i46 
■47 
i43 
■ 49 
149 


i 

6 
5 
4 
3 


75.9 
76.4 
76.8 
77.3 

78.7 
79.3 
79-7 
80.1 


33 
34 
35 
36 

38 


■94 

■99 


1 

6 

i 

8 


104.3 
.04.7 

io5., 
io5-6 
.06.1 
106.5 
107.0 
I07-5 

SI 


83 
83 

S^ 

86 

89 
191 

1 

P 


347.8 
348.7 

\ti 

351.3 

353.3 
353.1 
354.0 
354. Q 

355.8 
356.6 
357.5 
358.4 

'&i 

361. Q 
363.7 

164.6 


i3a.9 
.33.5 

.34.8 

135.3 
1 35.8 
.36.3 
.36.7 
73^ 
.37.6 
138.1 
.38.6 

\^i 

.40.0 
.40 5 
1409 
i4i4 


5a 
53 
54 
55 
56 

U 


45.0 

l;t 

49-4 
50.3 
5i.i 
53.0 
53.9 


34 

34 
35 

!>5 

=5 
16 
16 

37 

38 


5 

5 

I 

e 
3 


I3 
i4 

.5 
]6 

iS 
'9 


99 

104 
io4 
io5 


% 


5,.3 
51.8 

53.3 

55,6 

56.1 
56,6 


171 

?! 

74 

75 
76 

78 

21 


r5i 

r5i 

1 53 

1 54 
i55 
■ 56 
.57 
'57 
i58 


6 
5 
3 

9 


80.G 
81.1 

81.6 
83.0 
83.5 
83-0 
834 

84.9 


33 

33 
34 
35 
36 
37 
38 

% 


305 

306 
307 
308 
309 
309 


I 

5 
\ 

i 


1.0.8 
nil 


Diit. 


D.p. 


Lai. 


Dul 


Dep. 


L>I, 


Disl. 


Dep: 


L>1. 


IKlt. 


Dep. 


Lm. 


DitI 


Dep. 


L,l. 


H.E-bjE^E. S.E.byE-4E. H.W.bjW^W. S.W.byW.JW. [For 6i Pcrint^ | 



ny Google 



3 
4 
5 
6 

I 
9 


00.9 

Z:l 

o3.4 
04.3 
o5.. 
06.0 

08 ie 


o3 
o3 
04 
o4 
o5 


T 

5 
6 
6 
6 


"67 
63 
63 
64 
65 
66 

u 

69 


53 
54 
54 
55 
56 
57 
58 


T 


31.9 
33,4 

3a.9 
334 
33.9 
34.3 
35.0 
35.5 
36.0 


=3 

.1 

j6 
18 


7^ 

104 

io5 
J06 
107 
108 
loS 
.09 


8 
6 
5 

t 

6 
5 


61.3 
63.7 
63.3 
63.7 
64.3 
64.8 
65.3 
65.8 
66.3 
66.8 


83 
83 
84 
85 
86 

ll 
89 
90 


i56 
.57 
1 57 
i58 

'2 

161 
163 
i63 


s 

I 

4 
3 


93.. 
93.6 

B 

95.6 
96.. 

96.7 
97.3 

97-7 


34. 
43 
43 
44 
45 
46 

47 

48 

n 


306 

307 
308 
309 

3l3 
314 


6 
4 
3 

9 

6 

4 


■Si 

\in 

.36.0 
.36,5 

137.5 
128.0 

138.5 


13 

li 
i5 
.6 

i3 
'9 


^1 

i 

.5.4 

16.3 
17.1 


06 

08 
08 
09 
09 


I 
8 
3 


7" 
73 


61 

6j 
63 
64 
65 
66 
66 
67 
68 




37.0 
37.5 
38.0 
38.6 

s 

4o.6 
41. 1 


3j 
33 

li 

36 
37 
38 


ii3 
ir4 
114 
m5 
116 

Wl 

119 


4 

? 

4 


67.3 
67.9 
68.2 
68.9 
69.2 
69.9 
7"-4 


191 
93 

1 

99 


164 
r65 
166 

;s 

171 


5 
4 
3 

8 
5 


99,3 

101.3 

IOI.8 

103-3 

101.8 


sbi 

53 

53 
54 
55 
56 

S 


317 

318 

319 

333 


3 

9 

6 

4 

3 


139,0 
130.6 
i3o.. 
130.6 
i3i.. 
i3i.6 

.33.. 

.33.6 

.33.3 
.33.7 


j3 

li 

38 


[».o 

.8.9 

m 
J1.4 
11.3 
33.1 
14.0 


l3 
i3 
■4 

i4 

iS 


3 

B< 
3 

S 
2 


8:1 
83 

i^ 

86 
87 

89 
90 


69 

71 
7a 

?; 

74 
75 
76 




4i.6 
41.5 
43.7 
43.1 
43.7 
44.1 

t; 

45.8 

46.3 


141 

42 
43 

44 
45 
46 

47 

48 

£ 


133 
134 
135 
■ 36 

136 

138 


2 

5 
4 


73.5 
73.0 
73.5 

7'(-o 
74.5 

ti 

76.1 
76.6 


o3 
04 
o5 
06 

09 


.73 

1 


4 
3 

8 

5 
4 

3 


io3.8 
.044 
104.9 
loU 
105-9 
.06.4 

.o8]o 


36. 

63 

63 
64 
65 
66 
67 
68 
69 


333 
134 
335 
336 
337 
338 
339 

^3^ 
33 1 


9 
6 
4 
3 

9 
6 


.34-3 
.34.7 
135.3 
135.7 
136.3 
i36.8 
137.3 
137.8 
.38.3 
i38.8 


3i 
33 

i 

36 
37 
38 


J7.4 

=8.3 

^:; 

33.6 
33.5 

34.3 


t5 
j6 

18 
18 
'9 
19 


? 

5 
5 
5 
6 


9' 

i 

95 
96 

99 


78 

78 

80 

8] 
81 
83 
84 
84 
85 


6 


46.8 
47-3 

47-8 

48,3 
48.8 
49-4 


55 

53 

li 

56 
57 
58 
59 
60 


i3i 
i3i 

.33 

t33 
t34 
i35 
1 36 
.37 


s 

4 

i 

5 
4 


78.7 
79.3 

8o!3 

80.7 

8k7 


i3 
■4 
■ 5 
16 

\l 
19 

33 
35 

36 

3^ 

3^ 


181 

i8j 
i8a 
J 83 
i84 
.85 
186 
.87 
.87 
188 


S 
6 

i 


109-0 
.09-5 

iii]6 

11 ='6 
m3.i 


171 

76 
78 


333 
334 
335 
335 
336 

339 


4 
3 

9 

I 

4 

3 


.39.3 
,39.8 
.404 
140.9 
.4.i 
■ 41.9 
.434 
.43.9 
.434 
.43,9 


4i 
4j 
43 

1 

47 

48 

'5i 
5a 
53 
54 
55 
56 
57 
58 


36.0 
36,9 

41. J 
43.0 

43.9 


i3 
j3 
M 
14 

j5 

35 


6 
6 
6 

7 


o3 

06 

oS 
09 


87 
68 
89 
90 
9° 
9" 

i 


6 


53.0 
53.5 
54.0 
54.5 
55.0 
55.5 

56.0 
56.6 


i6j 
61 
63 
64 
65 
66 
67 
68 
69 
70 


il 

i4i 
i4i 
143 
144 
i45 
145 


s 

5 
4 

8 


8313 
83.8 
84.3 
84.8 
85.3 
85.9 
864 
86,9 
87.4 


1B9 
190 
191 

z 

.93 

1 

■97 


e 
4 
3 

8 

6 
4 
3 


JI4.1 
1.4.6 

1.5.3 

..5.7 
.16.3 
..6.7 
117.3 

]>8]3 


83 

84 
85 
86 
87 

89 
90 


341 
341 
343 
343 
344 
345 

346 

147 
U? 

348 


9 

6 
5 
3 

9 


.44.5 
.45.0 
.45.5 
.46.0 
.46.5 
.47.0 
.47.5 
.48.. 
148.6 
.49-. 


43.7 

44.6 
45.5 
46.3 
47.1 
48.0 

%^ 

56.6 
5.. 5 


.6 
26 

17 
a8 
1.8 
29 

5? 
3o 


7 

8 
3 
8 
3 
8 
3 
8 


l3 
14 
.5 
16 

18 
'9 


99 


9 


57£ 
56.1 
58-6 
5o.i 

i-' 

6o.a 
60.7 
61.] 
61.7 


73 

1 


.46 
■ 47 

is 

i5. 
i5i 
i52 

1 53 

1 54 


I 

4 

8 

5 
4 


87.9 

89I 
90,0 
90.5 


33 

33 
34 
35 
36 
37 
38 


.98 
.99 
■99 

303 
3o4 
305 
30S 


9 

6 

4 
3 

9 


..9.3 

130.8 
13. .3 
.31.8 
1334 

'Mi 


391 

1 

95 
96 
97 
98 
,99 
3oo 


349 

35o 
35. 
353 

353 
353 
354 
355 
356 
J57 


5 
3 

9 

6 
5 
3 


.5o.6 
iSi.i 
1 5. .7 

.53.3 

i53.7 
i53.i 

\li; 


DisU 


Itep. 


Lst. 


Dill 


itep. 


La). 


Dill 


D^. 


LbI. 


Dill 


Itep. 


Lai. 


Dill 


Dep, 


LaL 


N.E.bjE.lE. 8.E.byE.lE. N.W.byW.JW. S.W.byW.iW. [ForSiPoinU. | 



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3 
•1 

5 
6 

I 

9 


Z^ 

oi!5 
o3.3 
o4.a 
o5.o 
o5.8 
06.7 
07.5 


Dep. 


ttsu 


LU. 


Dep. 


Disl 


LU. 


iDep. 


Dill 


Li 




Dtp. 


Dill 


LX 




Dep. 


03 
04 

o5 
o5 


6 
3 

I 

6 


6. 
61 
63 
64 
65 
66 

69 


5i.6 
51.4 
53.3 
54.0 

g;? 

56.5 
57.4 
58.3 


33.9 
34.4 
35.0 
35.6 
36.1 
36.7 
37.3 
37.8 
38.3 
38,9 


33 

34 

35 
36 

i 


.03! 
ic)3. 

105! 
106.J 

IS: 


67.3 

' 67.8 

68.3 

68.9 

^i 

70.6 

71-7 
73.1 


8i 
83 
84 
85 
86 
87 
88 
89 
90 


,5o 
i5i 
j5i 
i53 
i53 
■ 54 
i55 
.56 
■57 
i58 


5 
3 

8 

5 
3 


100.6 

■o3.3 
.03.9 
104.4 
105,0 
io5.6 


34l 

41 
43 

44 
45 
46 

47 
48 

S 


m3 
104 
io5 
106 
107 
ao7 


4 

9 

5 
4 


133.9 

i34.a 

I35.0 
1356 
136.1 

.37.8 
138.3 
■ 38^ 
.39.4 

i4o£ 
.4..1 

141.7 
141.1 
141.6 
143.3 

1443 


i3 

i5 
i6 

'9 


09.1 

10 !s 

11.6 

ia.5 
i3.3 
i4.i 
i5.o 
■5.8 
16.6 


06 
06 

08 
06 
09 


8 
3 

1 

6 


71 

73 
74 
75 
76 


6D.7 
61.5 
63.4 

63.3 
64.0 
64.9 
65.7 
66.5 


d9.4 
4u.o 
40.6 
4t.i 

4<.7 

433 
43.9 
444 


3i 
33 
34 
35 
36 
37 

i 


.o». 

1.3.9 

\:n 

1.6.4 


75.B 
73.3 
73.9 
74-( 
75.0 
75.6 
76,. 
76.7 
77.1 
77-8 


191 

99 


.58 

'^ 

■ 61 

■ 63 
i63 
i63 
.64 
.65 
166 


8 
6 

5 
3 

8 
6 
5 
3 


.06. ■ 

.06.7 

io8!3 
[08.9 
109.4 

ilole 


35. 

5i 
53 
54 

55 
56 
57 
58 

S 


308 
109 

ii3 

3l4 

ai5 
3.6 


5 
4 
I 
9 

5 
4 


i3 

11 

12 


;s:5 

19.1 

ao.'s 
11.6 

Hi 

14.1 

M.9 


i3 
i3 
14 
i5 
i5 
16 
16 


7 

8 
3 

I 


8> 
81 
83 
84 
85 
86 

1^ 
89 
90 


67.3 
68.1 

§:S 

70.7 

Hi 

74.8 


45.0 
45.6 
46.1 
46.7 

47-1 

47-8 
48.3 
48.9 


i4i 
41 
43 
44 
45 
46 
47 

48 


„»., 
:S:? 


78.3 
78.9 

Si 

80.6 
8,., 
81.7 

83^3 


o3 
04 
o5 
06 
07 
08 
09 


■67 
168 
168 
.69 
170 
171 

1?3 
174 


8 
6 
5 
3 

i 

6 


111.7 

11 1^8 
..3.3 

i;H 

..5.6 
..6.1 
..6.7 


161 
61 

63 

64 
65 
66 
67 

69 


319 

333 
134 


I 

3 

i 


■45!6 
.46.. 
i46,7 

•in 

1483 
.48.9 
1494 
i5o,o 


33 

33 

34 
35 
36 

li 
22 


=5.8 
16.6 
»7-4 
a8.3 
19.1 

3i.6 
3J.4 
33.3 


17 

18 
18 
'9 


8 
3 
9 

4 

6 

7 


9' 
99 


75.7 
76.5 
77.3 
73.3 

¥ 

63.3 
83.1 


1)0.6 
5i.i 
5. .7 

51.3 

5i.6 
53.3 
53.9 
54.4 
55,0 
55.6 


,5, 

5i 
53 
54 
55 
56 

U 


iii.d 

116.. 

ii8!a 
118.9 

\lt:l 

i3i.4 
.31.1 
l33.n 


83.9 

B4.4 
85.0 
85.6 
86. 1 

IS 

H7.8 
88,3 
88.9 


i3 

i.i 
i5 
.6 

18 
•9 


13 

178 

;^ 
.81 
.83 
■81 


3 

i 

6 
4 
3 

9 


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_2^ 


334,3 


184.0 


5i 


Wi 


37 


4 




85.8 


70-4 




l33,3 


108,5 


137 


.76.6 


146.5 


391 




,84.6 


53 


4o.i 


33 






66.6 




73 


r33.o 


109.1 


33 


.79,3 


147.3 


91 


ai5.7 


185.3 


53 


4i.o 


33 


6 


i3 


87-4 




73 


.33,7 


.<?.8 


33 




147.8 


93 


316.5 


;£! 


54 


4l.7 


34 


3 


■4 


68.1 


71.3 


74 


134.5 


■ ,0.4 


34 


180.9 


1484 


94 


337.3 


55 


43.5 


34 


I 


i5 


88.9 


73.0 


75 


i35.3 




35 


18. ? 


1491 


95 


138.0 


.87.. 


56 


43.3 


35 


16 


89.7 


73.6 


76 


i36,o 




36 


183.4 


149.7 


96 




187,8 




44.1 


3fi 






90.4 


74.1 




i36,8 


113,3 


37 


183.3 


.50,4 


97 




I8S4 


58 


44.8 


36 


8 


]8 




74,9 
75.S 


78 


137.6 


;;r.i 


38 


184,0 


i5i.o 


98 


136:4 


189.0 


59 


45.0 






'9 


93.0 


79 


138-4 


39 


.84.7 


i5i,6 


99 


33.. 1 


189.7 


6o 


46.4 


3! 






5. .8 


76.. 


80 


.39.. 


m4,3 


40 


i85.5 


i53.3 


366 


331.9I 19031 


Diit 


Dep 


L 


v 


Dep 


LW, 


Dill 


Drn. 


Lfll. 1 Di* 


Dep. 


Lai. 


Di<t 


Dep. 1 L.1. 


N.EiE. S.E^E. 


N.W.iW. S.W.iW. [ForilPolntt. j 



, ,y Go ogle 







IN.) 


I^t. 


D.p. 


Dijt. 


L„. 


D.,. 


DUl. 


L.i. 


iii 

134-3 

[36.3 


Di>i. 


Lat 


L61.5 
i63.a 
163.9 
.64.5 
165.3 
165.9 
.66.5 
.67.' 
167.9 
168.6 
,69.3 

\fol 

171.3 

173.3 


3 

4 

5 
6 

I 

9 


c)3 
o3 
o4 
o5 
o5 
o6 

07 


5 

7 
4 

9 

4 


o3 
04 
04 
o5 
06 
06 




61 
6a 
63 
64 
65 
66 
67 
68 
69 
70 


45.= 
45.9 
46.7 
47-4 

'B 

Si.l 
5i.i 


4i.6 
43.3 
J3.0 

£'3 

45,0 
45.7 
46.3 
47-0 


13 

li 

36 


«9 
90 
91 
91 


4 

I 
4 

8 
6 
3 


83.3 
83.9 
84.6 
85,3 
86,0 
B6.6 
67.3 


18. 
83 
83 
84 
85 
85 
87 

89 
9" 


.34 
t34 

■ 35 

■ 36 
i37 

\ll 
,39 
t4o 
140 


I 

3 

6 
3 

8 


341 

4> 
43 
44 
45 
46 
47 
48 


17H 

III 
.80 

181 
i83 
i83 
184 

786" 
1S6 
1S7 

188 
.89 
.90 
191 

.91 
191 



3 

8 
5 
3 

8 

5 

5 
9 
4 

i 


i3 

•.i 

16 

■ 8 

'9 


05 

.3 
14 
i4 


4 

3 
8 


08 
08 
09 

I3 




i 

74 
75 
76 

78 


53:3 
56.3 

i?:S 

58.5 
59.3 


47-7 
48.4 

r, 

50.4 
5[.o 

53,7 


i3[ 

33 

33 
34 
35 
36 
37 
38 
39 
4o 


97 

99 

lo3 
io3 


5 
3 

8 
5 

3 


88.0 
88.6 
B9.3 

B 

93.0 
93.7 
93.3 
94.0 


191 
9= 

99 


141 
143 
143 
.43 

\'^ 

146 
i46 
'47 
1 48 


3 
5 

4 


,18.0 
139.6 

i3a3 
t3i.o 
i3i.6 

i33!o 
i33.6 
i34,3 


5i 
53 
54 
55 
56 
57 
58 

il 


a3 

34 


i5 
j6 

'7 

■8 
■9 


6 

3 

B 

5 
3 

i 


i4 
i4 
.5 
.6 
[6 

18 
■8 

'9 




Bi 
83 
83 
84 
65 
86 
87 
88 
89 
90 


60.0 
(io.8 
61.5 
6:1.1 
63. 
63.7 
64.5 
65.1 
65-9 
66.? 


54.4 
55.1 
55,7 

564 
57- [ 
57.8 
58.4 

60.4 


<4i 
41 
43 
44 
45 
46 

% 

it 


Io5 
106 
106 

zoS 
108 
109 


5 

4 

9 

7 

4 


94.7 

■If 


o3 

o5 
06 

09 


■ 48 

\n 

r5i 
i5i 
t53 
i53 

■ 54 

■ 54 
i55 


9 

4 

I 

4 
t 


i35.o 
i35,7 
i36,3 
i37,o 
137.7 
138-3 
.39-0 

It-} 
i4i-o 


30. 

6a 
63 
64 
65 
66 
67 
68 
69 


,93 
194 

1 

196 
'97 

;?j 

199 

303 

io3 
104 

305 

106 
106 

307 


4 

I 

4 

8 
6 
3 

"8 
5 
3 

8 
5 

9 

7 

4 

4 

9 


n5.3 

178.6 

.79-3 
1B0.0 
160.6 
181.3 
181.0 

iB4aj 
184.7 
i854 
iS6j) 
186.7 

.88.7 
.894 
190.1 

.90.7 
1914 
193.1 
191.7 

i?34 
194.1 


3> 

3a 
33 
34 
35 
36 
37 
38 
39 
4o 


a3 
a3 

34 
i5 
i5 
16 

18 


I 

9 
4 

i 


11 
34 
34 
a5 




9' 
99 


67.4 
69.6 

73.4 


61.8 
63.5 
63.1 
63.8 
64.5 
65.1 
65,8 
66.5 

67.1 


53 
53 
54 
55 

56 


.i3 
114 
ij4 
1.5 
T16 

118 


I 
4 

8 
6 
3 

8 
6 


101. 4 

Io3:4 
104. 1 

105I4 
106-1 

106.8 
t07-4 


i3 

14 
i5 
16 

3 

■9 


'57 
1 57 
i58 

;l' 

160 
161 

t65 
i63 


8 
6 
3 

8 
5 
3 


141-7 
141.4 
,43.0 
143.7 
144.4 
.45.1 
145.7 
i46,4 
147-1 
147-7 


37" 

11 

74 
75 
76 


41 
4i 
43 
44 
45 
46 

g 


3o 
3i 
3i 
3i 
33 
34 
3^ 
35 
36 
37 


4 

i 

3 

8 
6 
3 


37 

18 

s8 

IS 
3o 
3i 

33 

3i 
33 


! 

i 
1 


o3 
o4 
o5 
06 

08 
09 


re 

?6.3 

77^8 
78.5 
79.3 
80.0 
80.S 
81.5 


67-8 

69:3 
^.8 
70.5 
71.3 

V.1 


.6, 

61 
63 
64 
65 
66 
67 
68 
69 
70 


119 

!i3 
ii3 

"5 

136 


3 

5 
3 

5 


108.1 
108.8 
109.5 

iio!8 

IM,5 

Wli 

[1 3.5 
114.1 


33 
34 

i5 
36 

11 

\l 


]64 
i65 
166 
166 
167 
16S 
168 
,69 
170 


5 

5 
9 
4 


148.4 
.49.1 

r, 

.51.1 

■514 
153.1 

153.8 
154.5 


63 

83 
84 
85 
86 

87 

89 
90 


108 
109 

V,3 

ii4 
ai4 


5a 
53 

56 

57 
5B 

S 


37 

3a 

i 

40 

4i 
43 


5 
3 

8 
5 

? 


34 

34 
35 
36 
36 

U 
1 


1 

3 

I 

3 
6 


i3 

i4 
i5 
16 

•1 


83.0 
83.7 
84.5 
85.3 
86.0 
86.7 
87.4 
88.1 


74.5 

1 

77-9 
7B.6 
79.1 


17. 

53 
74 
75 
76 

V> 


lib 

3 

118 

;?, 

i3i 
i3t 
i3i 
i33 


4 
9 
4 

I 


1 1515 
1 16.3 

118.3 


3i 
33 
34 
35 
36 
37 
38 


177 


t 

4 

I 
3 

8 


155.8 
i56.5 

ill 

159.3 
159.8 

l6l.3 


19J 

1 

96 

P 
3S 


a. 6 
J19 


4 

8 
6 
3 

8 

5 

3 


1^.8 

199.5 

aoi.5 








■^r- 






-." 


- 




„. . 


,,. 






n:.. 


Dep. 


Lai. 




r4iPo 


Dtl. 



ny Google 



Dill. 


Lii. 


rsep. 


Dili. 


Ui. 


Dep. 


Dl,. 


L*i. 


Dep. 


"Km! 


T^i] 


D.p. 


Dili, 


L«. 


Dep, 


3 
i 
5 
6 

S 
9 


o3 
o4 
o4 
o5 
o6 


7 

4 

8 
5 

9 

7 

4 


o3 
o4 
04 
o5 
06 


\ 

8 
5 

9 
4 


63 
64 
65 
66 
67 
68 
69 


43.. 
43. B 
44.5 
45.3 
46. 
46.7 
47.4 
48.1 
48,8 
49.5 


43.1 
43.8 
44.5 
45.3 
46.0 
46.7 
47,4 
48.1 
43.8 
49.5 


33 

34 

35 

36 
38 

1; 


85 
86 

l 

89 
89 
90 
9' 

9' 


b 
3 

7 
4 

B 

5 


85.6 
86.3 
87.0 

^i 

g^ 
90.5 
91.3 
91.9 


181 

83 

83 
84 
85 
86 
8? 
88 


.30.8 

i3i.5 

.33.3 

133.9 

.33.6 
■ 34-4 


138.7 
.39.4 
i3o.i 
.30.8 
13..5 

133.3 

;il:l 

1344 


34. 

43 
43 

44 
45 
46 

47 

48 

g 


[73 
■73 

'74 
.75 
176 
.76 


4 

8 
5 

9 
4 
8 


[70-4 
171.1 

;?;:? 
i?i; 

174.7 
.75.4 

;S 


i3 
U 
i5 
i6 

la 

'9 


o8 
09 
09 

i3 
t4 


5 

i 

3 

7 

4 


09 
09 


5 

I 
3 

7 

4 


71 

74 
75 
76 

78 


50.9 

53.3 
53.0 
53.7 
54.4 
55.3 
55.9 
56.6 


bo.3 
50.9 
5..6 

53.3 
53.0 
53.7 
54.4 
55.3 

1:2 


i3[ 

33 

33 
34 
35 
36 
37 
38 

i 


9' 


8 
5 

t 
3 


1! 

94^8 
96.9 

S:l 

99.0 


1 

96 

3W 


135.1 
135.8 
i36.5 

.37.3 

140.7 
141.4 


135.1 
.35.8 
136.5 
.37.3 
.37,9 
.38.6 
139,3 
i4o.o 
■40.7 
■4.4 


35l 

5» 
53 

54 
55 
56 
57 
58 

g 


177 

'il 

;ii 

.81 
.a. 
183 

.83 
.83 


5 

i 

3 

4 


177,5 
.78,3 

;Si 

18Q.3 
1834 

183.1 

.83-8 


33 

Hi 

1- 

It 


[4 
i5 
16 

i3 
19 
■9 


6 

3 
4 
5 




6 
3 

4 

6 
5 


8> 

83 
84 
85 
86 

|g 
89 
90 


57-3 
58. 
58.7 

g:f 

60.8 
61.5 
61.3 

63!6 


60.1 

60,8 
6,. 5 
63.3 
63.0 
63.6 


i4> 
43 

46 

47 

48 

S 


99 

1^ 
io3 

.04 
io5 
■06 


4 

8 
5 

9 
4 


W-7 
ioo4 

103^5 
103.3 

103.9 

I04-7 
io54 
106. 1 


o3 

o5 
06 

08 
09 


■43.. 
.43.8 
143.5 

\fl 

.45.7 
■46.4 
.47.1 
.47.8 
■ 48.5 


.43,. 
.43,8 
.43.5 
.44,3 
145,0 
.45,7 
.46,4 
.47,1 
147.8 
.48,5 


36. 
63 
63 
64 
65 
66 

u 

69 


.84 
.85 

i8f 
.87 
18B 
188 
.89 
.90 
190 


6 
3 

7 

4 

8 
5 

9 


i84£ 
185-3 
186,0 
186.7 
187-4 
188,1 
188.8 
.89-5 
190.3 
190.9 


3i 
3i 

33 
34 
35 
36 
37 
38 

i 


33 

j4 

a5 
a6 
j6 

38 


1 

3 

5 

I 
3 


u6 

36 

38 


I 

3 

5 

i 

3 


9' 
99 


64.3 
65.1 
65.8 
65.5 
67. a 

69-3 


64-3 
65.1 
65.8 
66.5 

&7.3 

67-S 
68.6 
69.3 
70.0 
70.7 


53 

53 

\i 

56 
57 
58 


109 

m3 


5 

I 

3 
4 


io6.e 

;3:J 

108.9 


.3 
i4 
i5 
.6 

18 

■9 


149-1 

\tt 
i5i.3 

153.0 

153.7 
.53.4 
154-1 
.54.9 
155.6 


.49.> 

\t% 
i5i,3 

I53.0 

i53,7 
.53.4 
.54.. 
.54.9 
■ 55-6 


371 
73 

74 
75 
76 


.91 

■1 

i 

.96 


6 
3 

\ 

I 

3 


191.6 
193.3 
193.0 
193.7 

'$\ 
X 


At 
4i 
43 
44 
45 
46 

47 

48 


39 

1? 

3i 

3i 

33 

33 
33 
34 
35 


7 

4 

e 

i 


19 

II 

3i 
3i 

33 

33 
33 
34 
35 


7 

4 

B 
5 

% 

4 


o3 

04 
o5 
06 

t«9 


71.4 

73.1 

73.8 
73.5 


7M 

?3,5 
74.3 

75.0 
75.7 
76.4 

VA 


63 
63 
64 
65 
66 
67 
68 
69 


114 
ii5 
116 
116 

"I 

[|6 
'19 


6 
3 

7 
4 

8 
5 


m4'6 
m5.3 

116.0 
1.6.7 
1 174 

il^"3 


33 

34 

35 

36 


.56.3 
157.0 
157.7 
158.4 

ii;t 

.61.3 
161.0 
163.6 


156.3 
.57.0 
.57.7 
.58,4 

.6^,5 
i6l:9 

■ 63.6 


38, 

83 
84 
85 
86 
87 

89 
90 


198 
■99 

303 
304 
305 


7 
4 

8 
5 

i 

4 


3oo!8 
101 .5 

Hi 

3o44 

305.I 


Si 

53 

53 
54 
55 
56 


36 
36 
37 
38 
38 

t 

4i 

41 
4j 


B 

5 

i 

3 

4 


36 
36 
37 
38 
38 
39 
4o 

4i 

43 


8 

5 

! 
3 

7 

4 


i3 
i4 
i5 

.6 

7. 

'9 


7».S 
79.1 

22:1 
Sd 
SU 

B4.I 
84.9 


,8.5 
79.J 

2:1 

B1.3 

63.0 

83^4 
84. 1 
84.9 


73 
74 

t 
SI 


133 
133 
134 
135 
135 
136 


I 

3 

5 

I 
3 


133 [3 
1 33,0 
.33.7 

134.5 

135.3 

;Si 

137.3 


33. 
33 

33 
34 
35 
36 
37 
38 

t 


T64.0 

164.8 

i65.5 
166.3 
166,9 

.67.6 
.68.3 

IS:; 


.64.0 
.64,8 
i65,5 
166.3 
166,9 
16--.6 
.68,3 

X 


39. 

1 

3oo 


3o5 
306 

307 
308 
309 


8 
5 

I 
3 

4 


3o5,8 
3o6,5 

307-9 
308,6 


Dii.. 


D.p. 


Lni. 


D«. 


LaL 


Din 


Dep. 


Ui. 


Di... 


d™. 


LllL 


Dl<t. 


D„. 


Ui. 


N.E. N.W. Sj;. S.W. [For4PoiDU. ] 



ny Google 



TABLE II. [PwiT 


Dill 


Lm. 


D,,. 


Di)> 


LlL 


Dep. 


Di.. 


LsL 


Dep. 


Di.i 


L<.<. 


Dep. 


Di.i. 


Lu. 


Dep. 


3 
4 
5 
6 

8 
9 


o3 
o4 
o5 
o6 

09 







\ 


(11 
6a 

63 

64 
65 
66 

S 


61 
61 

63 
64 
65 
66 

S 

69 


^ 


oil 


.3. 

i3 
34 
j5 
q6 

Z 


I23 

iM 
m5 

136 

ia6 


I 


03 


3 
3 


8? 
83 
84 
85 
86 
87 
88 
89 
90 


■ 83 

iB3 
i84 
[85 
.86 

I89 


I 


o3 
o3 
o3 
o3 
v3 
n3 
o3 
o3 
o3 


3 
3 
3 
3 


341 

43 

11 

46 
47 

48 
il 


34l.O 
342. Q 
3d3.0 

344.0 
245.0 

346.0 

347.0 

348 .0 


04 
04 
o4 
04 
04 
o4 
04 
04 
o4 
04 


3 
3 
3 
3 
3 
3 
4 


',3 
i4 
i5 
i6 

17 
i8 
'9 


i3 

14 
■ 5 

16 

Is 

'9 


« 


i 


3 
3 
3 
3 

3 
3 


7" 

7, 

74 
75 
76 

77 
78 


7" 

74 
75 
76 

79 


^ 


01 3 
01 ) 
01.3 
01,3 
01.3 
01.3 
01.4 
01.4 
01.4 


3i 
33 
34 
35 

36 

li 


l33 

l33 

r36 
■ 37 
i3S 





I 


3 
3 
3 

4 
4 
4 
4 
4^ 
4 


191 

n 

o3 

1 

99 


191 

■1 
1 

'99 


I 


o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 


4 
4 
4 
4 
4 
4 
5 
5 
5 


35l 
52 

53 
54 
55 
56 
57 
58 


35l.O 

253,0 
353.0 
254.0 

a55.o 
356.0 
257-0 
358.0 
359.0 
360.0 


o4 
04 
04 
04 
o4 
04 
04 
04 
o4 
o4 


4 
4 
4 
4 
5 
5 
5 
5 
5 
5 


36 

!2 


i3 

>4 
i5 
16 

11 


; 


00 


4 

4 
4 
4 
4 
5 
5 
5 
5 
5 


Hi 
8j 
83 
84 
85 
86 
87 
88 
89 
9" 


83 
84 
85 
86 

89 
90 


^ 


01.4 
01.4 
01.4 
01.5 

01.5 
01.5 
01.5 
01.5 
01.6 
01.6 


i4i 

4» 
43 
44 
45 
46 

47 

48 
t 


■41 

i4j 
■43 
■ 44 

IS 





i 


5 
S 
5 
5 
5 
6 
6 
6 
6 


o3 
o4 
o5 
06 

09 

!3 
■ 4 
i5 
16 

\l 

19 


3o3 
304 
305 
306 

309 


I 


o3 
o3 
o3 
o3 
o3 
03 
o3 
o3 
o3 


5 
5 
5 
6 
6 
6 
6 
6 
6 


361 
63 

63 
66 

a 
69 


3bl.O 

363.0 
363.0 
J64.0 
=65.0 
366.0 
367.0 
368.0 
369.0 


04 
o4 
04 
o4 
04 
04 
o4 
o4 
04 
04 


6 
6 
6 
6 
6 
6 
7 


3a 

■ 33 
34 
35 
36 

Is' 

39 
4o 


33 
33 
34 
35 

36 

U 
2 


I 


» 


6 
6 
6 
6 
6 
6 
7 


9' 

1 

99 


9' 

9b 

99 


\ 


01.6 
01.6 
01.6 
01.7 
01.7 
01-7 
0..7 
01.7 


>5i 

5a 
53 
54 
55 
56 


iSi 

■ 53 

1.54 
i55 
i56 

■ 57 
158 


I 


i 


J 

8 
8 


3l3 

ai4 

3l5 

ai6 

3 [8 
319 


I 


n3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 


8 
8 
8 
8 
8 
8 


i7' 

76 


273 [o 
274.0 

279.0 


04 
04 

o4 
04 
04 
04 
04 
04 
o4 


1 

8 

3 
8 
9 
9 


4i 
4i 
43 
44 
45 
46 

S 


41 

41 
43 

44 
45 
46 

47 

48 


I 


ao 


7 

8 
8 
8 
S 
8 
8 
9 
9 


o4 
oS 
06 

08 
09 


lo3 
io4 
■ o5 
106 

loB 
109 


I 


o[.S 
01.8 
01.8 
01.8 
01.8 
0..9 
01.9 
01.9 
01.9 


6a 
63 
64 
65 
66 
67 

69 


-61 

>6i 
1 63 
.54 
■65 
166 
.67 
166 
.69 


I 


o3 


3 
8 
9 
9 
9 
9 
9 
9 


33 
34 
55 

26 

3^ 
^ 
33 

33 
34 
35 
36 

^8' 
39 
40 


3l3 
3j4 
335 

3j6 

338 
IZ 


I 


o3 
o3 
<i3 
o3 
o3 
1)4 
04 
04 
04 


9 
9 
9 
9 
9 
9 


83 

83 
84 
85 
86 
87 
68 
89 
90 


262.0 

383. 

384.0 

385.0 
386.0 
387.0 

389:0 
390.0 


04 
o4 
o4 
o5 
q5 
o5 
o5 
o5 
o5 
o5 


9 
9 
9 


5j 
53 

li 
56 


5i 

53 
54 
55 
56 
57 
58 


I 


01 


9 
9 
9 
9 


I3 
■4 

]5 
16 
'7 
18 
'9 


m3 
(i4 
ii5 
116 

118 
"9 


I 


01.9 


75 
76 


17. 

173 
174 


I 


o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 
p3 


^ 


33. 
33l 

333 
334 
335 
336 

lU 
339 

340 


I 


04 
o4 
04 
04 
04 
1)4 
04 
t>4 
04 
04 


I 


391 

1 

3?; 


393.0 

f 

396.0 


o5 
o5 
o5 
o5 
o5 
o5 
o5 
o5 
o5 
o5 


I 


Dili. 


D^. 




Diti 


nop. 


Lm. 


IK.I 


Dep. 


Lai. 


Di»i 


Dep. 


l,Bl. 


Disl 


I)ep. 


L.. 


[Tor 89 Oegreei. 



ny Google 



P*"J TABLE II. 

Diffitnnce of Luitnde and Departure for 2 D^nca. 


DiM.[Ut. 


Dq,. 


Kji 


L«L 


D.,. 


Dill 


L«. 


Dep. 


D>>L 


Lil. 


D«p. 


Diit.| Lu. 


Dep, 


3 
4 

5 

e 
e 


o3.o 
o4.o 

o5.o 
oa.o 

05.0 


00 


3 

3 
3 


61 
61 
63 
64 
65 
66 
67 
68 
69 
70 


61 
6» 

63 
64 
65 
66 

69 

70 


° 






i3 

34 

j5 
16 

=7 
38 


iao.9 

131 .9 

.36.9 

1J9.9 


o4 
04 
04 
a4 
04 
04 
o4 
04 
04 
04 


3 
3 
3 

4 
4 
4 
5 
5 
5 


81 

83 
84 
85 
86 
87 
88 
89 
90 


18C.9 
.81.9 
183.9 

■83.; 

164.9 
185.9 

187.9 


06 
06 
06 
06 

06 
06 
06 
06 
06 


3 
4 

i 

6 
6 

6 


14 
43 
43 
44 
45 
46 
47 
48 

t 


a4o. 
341. 
143. 
343. 
144. 
145. 
346. 
347. 

348. 

349. 


9 08.4 
J 08.4 
a 08.5 
9 08.5 
y 08.6 
08.6 
S 0S.6 
B 08.7 
B 08.7 
B 08.7 


■ 3 

iS 
'9 


i4.o 

l5.D 

16.0 

19.0 


to 


4 

i 

I 

6 

6 
6 

7 
7 


1 

78 


71 

73 
74 
75 
76 


° 


11 




iJ. 

33 

33 
34 
35 
36 

39 
40 


,3,., 
.31.9 
,33.; 

13<.9 
,35.9 
.36-9 


04 
04 
04 
04 
04 
04 
o4 
04 
o4 
04 




191 

1 

96 

99 


190.9 
191.9 
191.9 
.93.9 

.94.9 

195.9 
196.9 

197.9 

198-9 

199.9 


Ob 

06 
06 
06 
06 
06 
06 
06 
06 
07 




53 

53 

li 

-56 

57 
58 


ibo. 
a5i. 

l53. 

353. 
354. 
155. 
i56. 

S: 

159. 


B 0B.8 
08.8 
06.6 
08.9 
^■9 

09:.. 
09,0 
09.0 
09.1 


11 
»4 

36 

51 


11.0 

i3.o 
14.0 
>5.o 
16.0 

^■% 


~ 


8 
8 
8 
9 
9 
9 


83 
83 
84 
85 
86 
87 
88 
89 
90 


81 
81 
83 
84 
85 
86 
87 
88 
89 




9 
9 
9 
9 
9 
9 
9 
9 


13 
o3 
03 

<)3 
o3 
o3 


9 


i4i 
43 
43 
44 
45 
46 

ii 
it 


;S:| 

143.9 
143.9 

.44.9 

145.9 

146.9 
'47-9 
148-9 
149-9 


a 

o5 
o5 
05 
o5 
o5 
o5 
o5 
o5 




o4 
o5 
06 

ofl 
09 


300,9 

aoi.^ 

i»l.? 

104 -9 

Si 

109.9 


07 
07 

07 
07 




lOi 
61 
63 
64 
65 
66 
67 
68 
69 


361, 
161. 
i63. 

364, 

365, 
166, 
167. 
iSB. 
369. 


09.1 
09.1 
09.1 
09.1 
09.1 
09.3 
o5.3 
09,4 
o9--i 


3i 
3a 
33 
34 
35 
36 
37 
36 
39 
4o 


3i!o 
33.0 
34.0 
35.0 

36.0 

IS:: 


V, 


3 
3 
3 

4 
4 


9' 
9j 

t 

99 


90 
9' 

li 
94 

99 


9 
9 

9 
9 
9 
9 
9 
9 
9 
9 


o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 


3 
3 


-5, 
53 
53 
54 
55 

56 

u 


.54-9 

|:? 

i5q.q 


0-, 
o5 
o5 
o5 
o5 
<i5 
o5 
o5 
n5 
o5 






110.9 

111.9 

316.9 

IS:', 


07 
07 
07 

07 

07 


6 
6 
6 


11 
74 
75 
76 

S 


Ill: 
173. 

3: 

178, 
379, 


09.5 
09,5 
09.5 

^:6 

09.7 
09.7 


4> 

% 
44 
45 
46 

47 

48 


4i.o 
4».o 

43.0 
44.0 
45.0 

46.0 
47.0 
4fl.o 


°i 


5 
5 
6 
6 

6 

7 


04 
o5 
06 

09 


io3 
104 
io5 
id6 

108 


9 
9 
9 
9 
9 
9 
9 
9 
9 


o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 
o3 


6 
6 
6 
7 
7 

? 


i6r 
63 
63 
64 
65 
66 
67 
68 
69 


,64-9 
r65.9 

;S:? 

168.9 


o5 
o5 
o5 
o5 
o5 
o5 
□5 
o5 
o5 


9 
9 


36 

38 

11 


130.9 
331.9 

T.i.l 

114.^ 


07 

08 
oS 


8 

e 

9 
9 

f 


61 
83 

It 

66 

87 

89 
90 


3BQ, 
181, 
383.8 

i83.e 
184.8 
335.8 
186.6 

IU:1 


09,8 
09.8 
09.9 
09-9 
09.9 


5i 
Si 
53 
54 
55 
56 

57 
5B 


5i!o 
53.0 

a:: 

56.0 

S:2 

g;: 


\ 


8 

8 
8 
9 

) 


i3 

i4 
i5 

16 

■9 


m3 

■:.i 

iiS 


9 
9 
9 
9 
9 
9 
9 
9 

? 


o3 
o3 
o3 
04 
04 
"4 
04 
04 
04 
04 


9 
9 

9 


73 
74 
75 
76 

78 


170.9 
171.9 

;;5:? 

.74.9 

iS:? 

179.9 


06 
06 
q6 
06 
06 
06 
06 
06 
06 




13- 
3i 
33 
34 
35 
36 
37 
38 

i 


130.9 
13..9 

i33-9 
133.9 
334.9 

mi 

138.5 
139.9 


08 
08 

oB 

08 
08 
08 
08 
08 
08 


3 
4 


191 

i 


:p:i 

:g:S 

196,8 
197.8 
3^,8 
399,6 


io!3 
10,3 
.03 
10.4 
10.4 


Dbi. 


D». 


\M. 


Dill. 


D... 


L.. 


Did. 


Dep. 


I.... 


ni.t. 


D^p. 


T.nl 


Dill 


U.p. 


L«t. 


[Far 8d DoKneB. | 



ny Google 



TABLE II. tPM«i> 
Differenco at Latitude and Departure for S Degrees. 




D,»i.| L«. 


Di 


t 


Dill. 

63 

63 
64 
65 
66 

69 

7" 


L«. 


Dep. 


Dm. 


Lfll. 


Dap. 


Did. 


La^ 


Dep. 


D\M. 


Lai. 


Dep. 




3 

i 

5 

., 6 

8 
9 


o3 
o4 
o5 
o6 

"9 


\ 


61.9 
63.9 
64-9 
65.0 

67.9 

69.9 


o3.3 
o3.3 
o3.3 
o3.4 
1.3.5 
o3.5 
o3.6 
o3.6 
o3.7 


11 

34 

a5 

3G 

1 


I30.8 

131.8 
133.8 

113.8 

134.8 

ii5.8 
136.8 
137.1 

139:8 


06 
06 
06 
06 
06 
06 
06 
06 
06 
06 


3 
4 
4 
5 
5 
6 
6 

8 
8 


i«i 
83 
83 
84 
85 

87 
S8 
89 
90 


180.8 
181.8 

i83!- 
184.7 
185.7 
186.7 
.87.7 

■89^7 


09.5 
09.5 

09.7 
09.7 
09.8 
09.8 
09.9 
09.9 


341 
43 

43 
44 
45 
46 
47 

48 

it 


»4o.7 

341.7 

343.7 
343.7 
344.7 
345.7 

^46.7 
347.7 
348.7 
349-7 


13.6 

II. 7 

iile 
11.6 

13. 9 

i3.o 
i3.i 




i3 

i4 
i5 

i8 
'9 


la 

t4 
i5 
i6 

iS 


° 


oo 


6 


7" 
?3 

It 


70.9 
7" -9 

i-' 

76.9 

79-9 


o3.8 

04-0 
04.0 
04. ■ 
04.1 
04.3 


33 

33 
34 
35 
36 

S 

39 
4u 


r3i.S 
■ 33.6 

.33.6 
i34.fi 
I35.B 
1 36.-8 
137.8 
i38.e 
,39.8 


06 
07 
07 
07 


9 

3 
3 


191 

1 

99 

o3 
04 
o5 
06 

08 
09 


190.7 
19' -7 
193.7 
193.7 
,94.7 

199.7 


io!3 

.0.3 
10.4 
.0.4 
10. S 


53 
53 
54 

55 

56 
57 
58 

il 


350.7 

im 
355.6 
356.6 

Si 

359.6 


.3.3 

.3. a 
.3.3 

.3.3 
13.4 
i3.5 
i3.5 
i3.6 
i3.6 




33 

a5 
1? 


33 
34 

a5 

36 

1 


^ 


°i 


6 


83 

83 
84 
85 
86 

69 

9" 


B0.9 
8[.9 
83.9 
83.; 
84. 9 
85.9 
86.9 
87.9 

68.; 
89-9 


04^3 

04-3 

04.4 
04.4 
04.5 
04.6 
04.6 
04.7 
04.7 


Ml 

il 

44 
45 
46 

47 

48 
t 


i4o.a 

i4i.S 

143 -e 
143. 
144. 

145. 
146. 
.47- 

149 : 


"7 
07 

07 


4 
4 
5 
5 
6 
6 

I 

9 


303! 

3o4. 
305. 
306. 

S; 

309. 


io!6 
10.6 
10.7 

10.8 
.0.9 
10.9 


36. 

63 

63 
64 
65 
66 
67 
68 
69 
70 


360.6 
361.6 
363.6 

363.6 
364.6 
365.6 
366.6 
367.6 
366.6 
369.6 


1J.7 
.3.7 
i3.8 
i3.8 
i3.9 

■ 3.9 

■ 4.0 
14.0 
14.1 




3i 

33 

36 

u 


i, 

33 

33 
34 
35 
36 
36 

37 

3S 
39 


9 
9 
9 
9 


oi 




7 

J 

8 
9 
9 


9" 

1 

99 


90.9 
91.9 
93.9 
93.9 
94.9 

r, 

99.9 


o4-8 
04.9 
04.9 
o5.o 
o5.o 
o5.i 
o5.i 

05.3 
55.3 


53 

53 
54 
55 
56 
57 
58 


i5o. 
i5i. 

l53. 

i53. 

•M: 

i56. 

.59. 


08 
08 
08 
08 

oS 
08 


9 

3 
3 

4 


■ 3 
14 
i5 
16 

\l 
'9 


3l3! 
3.4. 
3l5. 

ai6. 

317. 

118. 

319- 


Ills 
11.3 
11.4 
11.4 
11.5 
11.5 


73 
76 


370.6 
371.6 

371.6 
173.6 

176.6 
379.6 


14.3 

l4.3 

14.3 
.4.3 

.4.4 
14.4 
.4.5 
.4.5 
.4.6 
'4.7 




4. 

43 

43 
4i 
45 
46 

^5? 


4o 
4i 

43 

43 
44 
45 
46 

47 

48 

49 


9 
9 

9 
9 
9 
9 
9 
9 
9 
9 


03 


3 
3 
4 
4 
5 
5 
6 
6 


d3 
04 
o5 
06 

09 


ioi!9 

Z:l 

104.9 
105.9 
106.9 
.07.9 
10B.9 
.09.1 


o5.3 
05.4 
o5.4 
o5.5 
o5.5 
05.6 
05.7 
05.7 
0S.8 


■■■6, 
63 
63 
64 
65 
66 

69 

70 


.60. 
161. 
163. 

i63. 
164. 
i65. 
166. 

',U: 
.69. 


08 

oS 
oB 
oS 
oS 
08 


4 
5 
5 
6 
6 
7 

I 

8 
9 


a3 

34 
35 

36 

S 


'33: 

m4. 

335. 

336. 

IVs. 
339. 


11.6 

ii.e 
11.7 

;;:s 

11.8 
11.9 
11.9 


63 
64 
85 
86 
87 
88 
89 
9» 


381.6 
383.6 

383.6 
184.6 
185.6 
385,6 
387.6 
3fi8.6 
389.6 


•i.l 

i4.e 
.4.9 

\t:l 

i5.o 
i5.i 

i5.i 

l5.3 




5i 
5= 
53 
54 
55 
56 
57 
58 


5o 
5. 

53 

53 
54 
55 
56 

u 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


o3 
o3 
o3 


7 

J 

8 
9 
9 


i4 
i5 
16 

18 
19 


MO.S 

III. 8 

113.8 

ii3.S 

ii4.e 

1.5.8 

n6.8 
117.B 
118.S 
[19.8 


o5.8 
05.9 
05.9 
06.0 
06.0 
06.1 
06.1 
06.3 
06.3 
06.3 
Lil. 


17: 
7^ 
73 

i 


170. 

'71. 
173. 
173. 

il 

177. 
.78. 
'79. 


uti 
09 
09 
09 
09 
09 
09 
09 
09 
09 


9 

3 
3 
4 
4 


33 1 
33 

33 
34 
35 
36 
37 
38 

2? 


i3o. 

33l. 
333. 

333. 

334. 

335. 

336. 
337. 
338. 
339. 


13.1 

13!3 
13.4 
13.4 

7 13.5 

7 13.5 

7 13.6 


391 

i 


391.6 
193.6 
393.6 
194.6 
395.6 
396.6 
397.6 
398.6 
199.6 


isia 

i5.3 
i5.4 
i5.4 
i5.5 
i5.5 
i5.6 
i5.6 
.5.7 




KlL 


D«.. 


LaL 


Dist 


Dep. 


Di.t 


Dfp 


Lat. 


Disi 


Dep 


Lat. 


an 


Dop. 


Lai. 




[For 87 D«gi»M. 





ny Google 



Pw!W] _ TABLE 11. 

Diffeieoce of Latitude and Departure lor 4 Degrees. 


Oi.1 


U 


Dep. 


Dill 


Lai. 


Dep. 


Dill 


iM. 


D, 


. Dirt 


Lai. 


Dep. 


fNn 
34. 

41 
43 
44 

1 

47 
48 

n 
^ 
53 

53 
54 
55 

56 


^4^4 
14 ..4 
343.4 
343.4 
144.4 
145.4 
346.4 

'^, 

351.4 

a53..1 
353.4 
354.4 
355.4 
156.4 
157-4 
358.4 
359.4 


Dep. 
16-8 
.6-9 
17.0 
.7.0 

17^3 
.7-4 

17-4 

;?:i 

17.6 

•7-7 
.7.8 
17.9 

;.':„' 

18-1 

iS.i 


6 

I 

9 


03! 
"4. 
o5. 
06. 

09. 


3 oo!3 

3 00.3 
3 00.4 

> 00.5 
oo.e 


6a 
63 
64 
65 
66 
&7 

as 

69 


60 
61 
61 
63 
64 
65 
66 

69 


i 

8 
8 


04 
o4 
o4 
04 
04 
04 
0^ 

OA 
04 


J 


33 
34 

15 

36 


',11'.] 

ia4.7 

:|; 

n8!7 
139.7 


oU. 
08. 
08. 
08. 
08. 
08. 
08. 
oS. 
09. 
09. 


83 

83 
5 84 
7 85 

86 

Hi 

90 


180.6 

181.6 
i83.6 
.83.6 

i86.5 

'XI 

,«,.5 


Ills 
11.8 

•It 

.3.0 
i3.i 
.3.9 
.3.3 


i3 
"1 
i5 
i6 

i8 
'9 


13! 

16. 
19. 


00. e 
00.8 
Q0.9 

01 !3 

01.3 

OI.4 


7^ 
74 
75 
76 
77 
78 

J 

Bi 
83 
84 
85 

B? 

ea 

89 

90 


73 
74 
-5 
76 

Vs 

79 


G 

a 

8 
8 
8 


o5 
o5 
o5 
o5 
o5 
o5 
o5 
f.5 
o5 
u5 
oT 
o5 
o5 
o5 
o5 
06 
06 

i>e 

oG 


9 
9 

3 


33 

33 
34 
35 
36 
37 
36 

14 r 
43 
43 
44 
45 
46 


i3i.7 
i3i.7 
133.7 

;S:; 

j38.7 
.39.7 


09. 
09. 
09. 
09. 
09. 
09 
09. 
09. 
09. 
09. 


191 

p 

94 

P 
99 


,,0.5 

191.5 
193.5 
.93.5 

-?4.5 

IP: 

'99-5 


.3.4 
.3.5 
i3.5 

.3.6 
13.7 

'.1:1 


36 


»4. 


01.5 
01.5 
.11.6 
01.7 

01.9 


Bo 
81 
8a 
83 

84 
85 
86 
87 
88 
69 


8 

S 
8 
6 
S 
8 


140.7 
141.7 

143^6 
144.6 
145.6 
146.6 

,1i:l 

.49.6 


°9- 
09. 


o4 
o5 
06 

08 


300. 5 

301.5 
303.5 

io3.5 
304.5 
3o5.5 
ao6.5 
307.5 
3o8.5 
309-5 


.4.0 
■4.1 
14.1 

14. J 
14.3 
.4.4 
.4.4 
.4.5 
.4-6 
.4.6 


361 

63 

63 

64 
65 
66 
67 
68 
69 
70 


36...4 
16. .4 

363.4 

163.4 
364.4 
165-4 
366.3 

'^■\ 
169.3 


18.3 

iB-3 
.6-4 
.8.5 
18.6 
18.6 

:S:2 

18.8 


i, 

3i 
33 
34 
35 
36 

ll 
39 
4o 


11: 
33. 
34. 
35. 

37. 
3,. 


oii!3 
0J.4 
03.4 
02.5 

Q5.S 


9' 

94 

99 


90 
9' 

?3 


S 
8 
8 
8 
8 
8 
8 
3 


d6 
06 
d6 
06 
06 
q6 

06 


J 
4 
5 
6 
6 

8 
8 
9 


ibi 

5i 
53 
54 
55 
56 
57 
58 


iso.e 

i5i.6 
153.6 
.53.6 
154.6 
i55.6 
i56.6 
157.6 
i58.6 
159.6 


io]l 
10.5 


i3 
14 
i5 
16 

\l 

'9 


311. 5 
313.5 

3i3.5 
314.5 
3.5.5 
316.5 
317.5 
3|8.S 
a. 9.5 


'4.7 
i4.8 

in 

i5.o 
.5.1 
.5.1 
i5.i 
i5.3 
i5.3 


371 

73 
74 
75 
76 

78 


170.3 
371.3 
373.3 

vii 

375.3 
376.3 
377.3 
178.3 
179-3 


,8.9 
.9.0 
19.0 
19.1 

'S,i 

;r 

.9.5 

.9.5 
.9.6 
19.7 

;s:s 

.9.9 

30-4 

30.4 
30. 5 
10.6 
10.6 

30-9 


4i 
4:1 
43 
44 
45 
46 
4? 
48 

& 


43.5 
44.5 
4i. 
46.5 
47.9 
4«.9 
4,-9 


oa.9 

o3.i 
o3., 
o3.i 
t.3.3 
o3.3 
o3.4 
o3.5 


o3 
04 
05 
06 

s 

09 


io3 
104 
to5 
106 

to8 
109 


7 
7 

7 
7 


1-7 
07 
"7 
07 
07 

07 


3 
3 
4 
5 
5 
6 
7 


lb] 
6a 
63 

66 
67 
68 
69 

70 


160.6 
161.6 
163.6 
163.6 
164.6 
165.6 
166.6 
167.6 
168.6 
.69.6 


11!: 
11.4 
...4 

11.5 

El. 6 

M.6 

n'.t 
11. 9 


33 

s5 

36 

S 
1? 


330. 5 

331.5 

313.5 

ii3.5 

ir, 

3 36.4 

338:4 
339.4 


.5.4 
.5.5 

.5.6 
.5.6 

•ll 

.5.8 

;L' 

16.0 


83 
83 
84 
85 
86 
87 
88 
89 
90 


3B1.3 
381.3 
383.3 
184.3 
185.3 
386.3 
387.3 
388.3 
189.3 


53 
54 
55 
56 

5B 
Din. 


!.., 
53.9 
53.6 
!4.9 
5i.9 


o3.6 
o3.6 

o3.S 

04.0 
04. [ 
04. a 


I3 

14 

i5 
iG 

18 
■9 


it3 
ii4 
ti5 
116 

;;s 

119 


7 
7 


08 

08 
oS 
08 
08 
08 
oS 


8 

> 


73 
74 

i 

78 

So' 


17^:6 
173.6 
174.6 

;s:? 

■79.6 


11.9 
11!; 

13.4 
.3.5 

11.6 


33 1 

3a 
33 

34 
35 
36 

ll 
39 
40 


330.4 
131.4 
333.4 
333.4 
134.4 
135.4 
336.4 
337.4 
138.4 
139.4 


.6.1 
16.1 

.6.3 

16.3 

'li 

16.5 
16.6 
.6.7 
16.7 


19. 

I 

P 

Boo 


390.3 
39.-3 
193.3 
393.3 

394.3 

3^.3 

196.3 
397.3 
1^.3 
399-3 


Dep 


Lm. 


Din 


Dep. 


L«l. 


Disl. 


D.p. 


Lii 


IM.1. 


Dep. 


Lai. 


Di«. 


Itep. 


L«.. 


[For 96 De^rMi. j 



n,gti7coT:GoOglc 



table: 11. 


rp.g.Bi 


Dj.1, 


L«L 


Dep, 


Dhil 


L.U 


IXp. 


Dill 

j3 
34 

35 
36 

37 
38 


L.i. 


IVp. 


Di>l 


Ui. iDep. 


Di)l.| LSI. 1 Dtp, 1 


3 
4 
5 
6 

8 
9 


o3 
o4 
o5 
(« 

o8 
"9 


I 


i 




61 

S3 

63 

64 
65 
66 
67 
68 
69 
70 


60 
61 

53 

63 
64 
65 
66 
67 
68 
69 


8 

e 

8 
B 
8 

7 
7 


05 
o5 
o5 
o5 
o5 
o5 
o5 
u5 
06 
06 


4 
5 
6 

8 
9 


I30.5 
T2,.5 
.33.5 

\m 

■ 35,5 
136.5 

137-5 
138.5 
.39.5 




6 

6 
9 

3 


181 
83 
83 
84 
85 
86 
87 
88 
89 
90 


180 
iSi 

>83 

i83 
184 
i85 
1B6 
187 
188 
,89 


3 
3. 


.5.8 

^1 

16.1 
16.1 
16.3 
.6.4 
16.5 
16.6 

iTe 
16.7 
16.8 

n't 

■7;3 

■7.3 

'7-4 


341 

43 

43 

^ 
46 
47 

48 

15? 

53 
54 

57 
58 


340 
341 

3^3 

344 
345 
346 
347 
348 

^ 

35> 
353 

353 

356 
357 
i58 
359 


I 


31.3 

11.4 

31.4 
31.5 

31 .6 

31 !8 
31.9 

33:3 
33.4 

33.5 

33.6 

S:^ 

Hi 
33.1 
33.3 
33.3 
33.4 
33.4 

33.5 


14 

i5 
i6 

i8 
"9 


i3 
i3 

t4 
i5 
i6 

i8 
19 


9 
9 
9 
9 
9 
9 


I 




73 

1 

78 

8 


71 

?3 

74 

75 
76 

78 

79 


7 

7 

7 


06 
06 
q6 
06 
06 
06 
06 
06 


3 
4 

4 
5 
6 

I 

9 


iJi 

33 

33 
34 
35 
36 

39 

4o 


i3o.5 
i3i.5 
i3j.5 
,33.5 
134.5 
t35.5 
i36.5 
.37.5 
138.5 
.39.5 




4 
5 
6 

8 
9 
9 


191 

1 

96 

98 
99 
300 


191, 
191 

1 

.96 

■99 




11 
i4 

38 


11 

.5 
:i6 

11 
39 


9 
9 
9 
9 
9 
9 
9 
9 
9 
9 


i 




81 

83 
84 
85 
86 
87 

89 
90 


81 
81 

83 
84 
85 
86 
87 
88 
89 


7 
7 


07 

07 
07 
07 


3 

4 
5 
6 

I 

8 


i4i 

43 

43 
44 
45 

47 
48 

t 


■4fl.5 

■X:l 

r43.5 
■44.4 
145.4 
■46.4 
147-4 
.48.4 
.49.4 


I3 
i3 


.1 
5 
6 
6 

8 
9 


o3 
04 
o5 
06 

09 

i3 

14 
i5 
16 

IS 

'9 


ia3 
304 

3o5 
306 

108 
309 




.7.6 

lit 
■8.0 
■8.1 
18.3 

■8.3 


361 

63 

63 
64 
65 
66 

S 


361 
363 
363 
364 
365 
366 

\u 

369 


I 


3. 

33 

33 

34 
35 
36 

3? 


3r 
33 
33 
34 

35 
36 

39 


9 
9 
9 
9 
9 
9 
9 
9 

i 


o3 

o3 
o3 
o3 
o3 
o3 
o3 




9' 

94 

99 


9" 
9' 

P 

99 


6 
6 
6 
6 
6 
6 
6 
6 
6 


08 
08 
08 
08 
08 
08 
08 
08 


9 


[5i 

53 

53 

i^ 

56 
57 
58 


i5o.4 
r5,.4 
153.4 
.53.4 
154.4 
155.4 
156.4 
157.4 
158.4 
.59.4 


i3 
i3 
i3 
i3 
t3 
i3 
i3 
i3 
■3 


3 
4 

5 
6 

8 
9 
9 


3l3 
3l4 
3l5 

316 

;:s 

3r9 




18.6 

18.7 
■8.7 

l8;9 

I9.C- 
.9.1 

■ 9-3 


J71 

74 
75 
76 

78 


370 
371 

"3 
374 

374 

375 
376 

SI 


9 
9 

9 
9 
9 


33.6 

g:l 

33.9 
34.0 
34.1 
34.1 

34.3 
34.3 
34.4 


4i 

43 

43 
44 
45 
46 
47 
48 


40 
41 

45 

43 

44 
45 
46 
47 

48 
4-) 


8 
8 
8 

3 
8 
8 
8 
8 
8 


o3 
o3 
o3 
o3 
"4 
04 
04 
04 
04 




o3 
04 
o5 
06 

08 
09 


Io3 
to4 
io5 
106 

108 
109 


6 
6 
6 
6 
6 
6 
6 
6 
6 
6 


08 
09 
°9 
09 
09 
09 
09 
09 
09 




63 

63 
64 
65 
66 
67 
68 
69 


160.4 
.61.4 
,63.4 
163.4 
164.4 
.65.4 
166.4 

,'S:J 
,69.4 


■4 
■ 4 
■4 
i4 
i4 
i4 
i4 
i4 
>4 
<4 


3 
4 

5 
6 
6 

e 


33 

34 

35 

36 
37 
38 

11 


133 

334 

335 
336 
137 
338 
339 




.9.3 
19.3 

■ 9.4 

■9.7 
19.8 
19.9 


83 

s 

85 
86 
87 
88 
89 

391 

P 

3oo 


381 

3&3 

383 

384 

385 
386 
3B7 

^ 
390 
39. 
391 
3v3 
394 


9 

9 
9 
9 
9 
9 
9 
9 
9 

9 
9 
9 
9 
9 
9 
5 
9 
9 
9 


34.6 
34.7 
34.8 
34.8 

11 

35.1 
35.3 

35.3 

35:4 

35,5 
35.6 

III 
'll 

36.1 

36.1 


si 

53 
54 
55 
56 

57 

58 


bo 
5r 

53 

53 
54 
55 
56 
57 
58 
59 


8 
8 
8 
8 
6 
8 
8 
8 
8 


"4 
04 
o4 
04 
o4 
o4 
o5 
o5 
a5 
o5 




I3 

i4 
■ 5 
16 

18 
»9 


III 
ii4 
1.5 
116 

;;5 


6 
6 
6 

6 
6 
6 
6 
5 
5 


09 

09 
09 
09 




17T 

',3 

74 
75 
76 

78 


.74.3 
.75.3 
176.3 
177.3 
.78.3 
.79.3 


14 
i5 
i5 
i5 
i5 
i5 
i5 
i5 
i5 
iS 


9 

3 
3 
4 
5 
6 


air 

33 

33 
34 
35 
36 
37 
38 


330 
33 1 
333 

333 
334 
335 
336 
337 
338 
339 


; 


30 la 
30.9 


Di.i. 


Pep. 


U 




Dill. 


j^ 


U<. 


IKsl. 


Dep. 


Ui. 


Diji, 


Dep. 


Ui. 


ui>i 


D*p. 


Lai. 



ny Google 



Dill. 


Lai. 


Dep. 


Dial. 


Lai. 


Dep. 


bi'ii. 


,..,. 


D«p. 


DJii. 


La.. 


Dep. 


Dili 


Lai. 


D^JT 


3 
4 
5 
6 

8 
9 


o3 
o4 
o5 
o6 

3 

09 

09 


9 


^ 


3 

i 

6 
9 


63 
63 
64 
65 
-66 
67 
68 
69 


6i!7 
61.7 
63.6 
64.6 
65.6 
66 6 
67.6 
68.6 
69.6 


06 
q6 
06 
06 
06 

07 


4 

5 

6 

8 
9 

3 


i3 
14 
i5 
a6 

38 


.i3 
ia4 
ia5 

136 

ia8 
■aq 


3 
3 
3 
3 


i3 
i3 
i3 
i3 
.3 
i3 
i3 


6 
8 
9 

3 
4 
5 
6 


8a 
83 

84 

85 
86 
67 

89 
9" 
191 
9= 

1 
IS 

V> 

99 

o3 
04 
o5 
06 

oS 
09 


iSi 

18a 

i83 
.84 
.85 
186 

.89 


\ 


19 
'9 
19 
19 
'9 
19 
19 
19 
19 


9 

3 
4 
5 

I 
9 


34. 
43 
43 

44 
45 
46 

S 
& 


3S9-7 

340.7 

a4..7 
a4a.7 
343.7 

346.6 
347-6 
348.6 


a5 

35 

35 
35 

-.5 

35 
35 
35 
36 

36 




i3 
■4 
i5 
■ 6 

i8 
'9 


i3 
>4 
.5 
.6 


9 
9 
9 
9 
9 
9 
9 
9 
9 


I 


3 
6 
9 


73 
74 
75 
76 


71.6 

73.6 

73.6 
74.6 
75.6 
76.6 
77.6 
78.6 
79-6 


"7 

08 
08 
08 


i 

6 

8 
9 

3 
4 


i3i 

33 

33 

34 
35 
36 
37 
38 

t 


.3o 
i3i 
■ 3] 

i33 
i34 
i35 
i36 

?^ 
,39 




i3 
i3 
.4 
14 
i-J 
14 

'4 


8 
9 

3 
4 
5 
6 


190 
I9P 
191 

1 

196 


9 
9 
9 
9 
9 
9 
9 
9 
9 


Z 


3 
4 
5 
6 

8 
9 


35 1 

53 

53 
54 
55 
56 

U 
L' 


349.6 
35o.6 
351.6 

353.6 

353.6 
?54.6 
355.6 
a56.6 
357.6 
356.6 


36 

a6 

36 

36 
36 

36 

36 

37 


a3 
U 

38 


33 
35 

116 

38 
'9 


9 

9 
9 
9 
9 
9 

\ 


o3 
o3 


3 

4 
5 
6 

I 

9 


8. 
8a 
83 
84 
85 

87 
88 
89 

9" 


80.6 
8i.6 
81. 5 
83.5 
84.5 
85.5 
86.5 

89.5 


oB 
08 
08 

oe 
08 
09 
09 
09 
09 
09 


5 
6 

8 
9 

3 

4 


i4i 
4a 
43 
44 
45 
46 
47 
48 

t 


i4o 
i4i 

141 
.43 
144 
i45 
.46 

■A 

■ 49 




i4 
14 
14 
i5 
i5 
i5 
i5 
.5 
.5 
15 


I 

9 

3 
4 
5 
6 

7 


199 

303 

ao4 
ao5 
306 

^^ 


9 
9 
9 
9 
9 
9 
9 
9 

2 


I 


3 

4 
5 
6 

I 


36. 

63 

63 
64 
65 
66 
67 
68 
69 


359.6 
36U.6 
361.6 
363.6 
a63.5 
364.5 
365.5 
366.5 


37 
37 
37 
37 

37 
36 
38 
38 




3) 
33 
34 
35 
36 

% 
39 
4u 


3. 
3i 
33 
34 
35 
36 

S 

39 


8 
8 
8 
8 
8 

8 
8 


o3 
i:3 
o3 
03 
u3 
o3 
04 
04 
04 


3 

4 
6 

I 
9 


9" 

1 

96 
99 


90.5 

9r.5 
93.5 

94.5 
^.5 
96.5 
97.5 
98.5 
99.5 


09 
09 

09 
09 
09 


G 
B 
9 

3 
5 


53 

53 
54 
55 
56 
57 
58 

1^ 


lio 
i5i 

l53 

.53 
i54 
.55 
.56 
157 
i58 
,59 




i5 
16 
.6 
.6 
.6 
16 
16 
16 
16 


9 

3 
4 
5 
6 


.3 
i4 
i5 
.6 

18 
'9 

a3 
a4 
a5 
36 

a^ 


309 

3.3 
3l4 
3l5 
3.6 

3.8 


b 

8 
8 
8 
8 

8 
8 

S 


11 


3 
4 
5 
6 

8 
9 


a?. 

73 
73 

1 

78 


IVd 

373.5 
374.5 
375.5 
376.5 
377-5 
378.5 


38 

38 

a8 

38 

38 
38 
39 
39 
=9 




4i 

4a 
43 

44 
45 
46 

47 

48 

t 


40 
4> 

4i 
43 
44 
45 
46 

47 

48 
49 


8 
6 
8 

7 
7 


04 
04 
04 
04 
04 

D4 

04 
o5 
o5 
o5 


6 

I 

9 


o4 
05 
06 

09 


100.4 
101 .4 

ioa.4 
103.4 

>o4-4 
105.4 
106.4 
107.4 
.06.4 
109.4 


lo 


6 

8 
9 

3 
4 
5 


16. 
6a 
63 

64 
65 
66 

S 

69 

70 


16. 
16a 
i63 
i&f 

i65 
166 
167 
168 
.69 




.6 

17 
'7 
■7 


9 

4 
5 
6 

8 


a. 9 

3a3 
aa4 
aa5 
aa6 

aa8 


8 
8 
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4 
5 


81 

83 
84 
85 

87 
88 
89 
9" 


81.0 
81.0 
83.0 
84. 
84-9 
85.9 
86.9 






i4i 
43 

a 

46 
47 


2 

i4i 
143 
143 
144 
145 
[46 
'47 




33 
33 
33 
33 


4 
5 

8 

3 
5 


04 
o5 
06 

oS 
09 


.96 

'99 

303 

304 

305 

306 

307 


5 
5 
5 
5 
5 
5 
5 
4 
4 
4 


3i!6 
31.8 

33.3 

33.4 
33.5 
33.7 
33.9 


361 

63 

63 

ly 

65 
66 

69 


357.8 
358.8 

'^■* 
360.7 

361.7 

363.7 

363-7 

364.7 

365.7 

3C6.7 


40.8 

4[.o 
4i.i 
4. .3 
41.5 
41.6 
4i.8 

tt 

43.3 


3i 
33 
34 
35 
36 

U 


3i.6 
33.6 
33.6 
34.6 
35.6 
36.5 

ki 

39.5 


o5 
o5 
o5 
o5 
o5 
o5 
06 
(« 


8 

3 
5 

6 
8 
9 
3 


9' 

1 

96 
99 


89.9 
9U.9 

94.3 

^.8 
97.8 
58.8 


.4 

is 


.5. 
5= 
53 
54 
55 
56 
57 
58 

a 


;! 

[53 

[53 
154 
[55 
i56 

•M 




33 
33 

34 

34 
34 
34 

34 
35 


8 
9 

4 
6 

9 


i3 
■ 4 
i5 
16 
17 
18 
■9 


3cJj 
309 

III 
3.4 
3.5 
3.6 


4 
4 

4 
3 
3 
3 
3 
3 


33. 
33.3 
33.3 
33.5 
33.6 
33.8 

34.3 
34.4 


371 

75 
73 

i 
It 


367.7 
368.7 
369.6 
370.6 
371.6 
373.6 
373.6 
374.6 
375.6 
376,6 


43.4 
4».6 
43.7 

ill 

43.3 
43.3 
43.5 
43.6 
43.8 


41 
4i 

43 
44 
45 
46 
47 

48 

S 


4o.f> 
4. .5 
43.5 
43.5 
44.4 
45.4 
46.4 

S:1 

49.4 


06 
06 
06 

°7 
07 

07 


4 
6 

7 

9 

4 
5 

2 


o3 
o4 
o5 

06 

09 


W.8 

io3!7 
104.7 
105.7 
106.7 






161 
61 

63 
64 
65 
66 
67 
68 
69 


■2 

■61 

163 
■63 
164 
164 
i65 
166 
167 


9 
9 
9 


35 
35 
35 

v5 

35 
36 
30 

36 
36 
36 


3 
5 

2 

3 
4 
6 


33 
34 
35 

36 

11 
12 


118 
3,9 

333 
334 
335 
936 
337 


3 
3 
3 


34.6 
34.7 
34.9 
35.0 
35.3 
35.4 
35.5 
35.7 
35.8 
36. 


83 

83 
84 
85 
86 

ll 
89 
9° 


377.5 
378.5 
379.5 
386.5 
381.5 
a83.5 
383.5 
384.5 
385.4 
386. 4 


44.0 
44.1 
44.3 
44.4 
44.6 
44.7 

f.^ 

45.3 
45.4 


5i 
S3 
54 
55 
56 
5? 
58 


Hi 

54.3 
55.3 
56.3 
57.3 
58.3 
59.3 


oS 
08 
08 
08 
i« 
08 
09 
09 
09 


3 

4 

6 
8 
9 

4 


i3 

i4 
]5 
16 

\l 

'9 


iiiie 
111.6 

n3.6 
1.4.6 
ii5.e 
116.5 
117.5 
■ iB.S 




6 
8 


73 
74 
75 
76 


.68 
;69 

17' 

173 
174 
175 
176 


9 

9 
9 

8 
8 
8 
8 


36 

36 

37 

38 

38 


8 
9 

4 
5 

8 


33 1 
33 

33 
34 
35 
36 
37 
38 

t 


338 

3^ 
33l 
333 

333 

334 

335 
336 

.37 


; 


36.. 
36.3 
.36.4 
36.6 
36.8 

B 

37.4 
37,5 


391 

1 

96 
97 
98 
,99 

3oo 


387.4 
38B.4 
389.4 
390.4 
391.4 
393.4 
3?3.3 
3^4.3 
395.3 
,96.3 


45.5 
45.7 
45.8 
46. 
46.1 
46.3 
46.5 
46.6 
46.8 
46.9 


Dill. 


_":£: 


LaL 


Din. 


D-p. 


Lbi. 


d™. 


I..., 


K,i 


Dep. 


Lm. 


Di.i 


Dep. 


Lai. 




[Tor Bl Degree. | 



ny Google 



PM-Ml TABLE 11. 

Difference of Latitude and Departure for 10 Degrees. 


Oiu 


Lw. 


Dtp. 


Din 


Lai. 


Dep. 


Dlsi 


Lai. 


D,p. 


l)i>i 


Ut 


Dcp. 


ni»i.| Lnl. 


D,p. 

4.-8 
4a .0 
43.3 
41.4 
43,5 
43,7 

iv. 

43. a 
43.4 


3 
4 
5 
6 

8 
9 


05.9 
06.9 


i 




61 
6a 
03 
64 
65 
66 
67 
68 
69 
70 


61 
6j 
63 
64 
65 
66 
67 
68 
68 






9 

3 
5 
6 
8 


33 
34 

i5 

36 

17 

38 

IS 


■ 19.5 
I33'.l 

135!l 

ia6.i 

IJ7.0 


a3 
33 
aJ 
a3 
a4 
34 
34 


4 
5 

9 

4 
_6 

9 

3 
4 


i8> 

8? 
84 
85 
86 
87 
86 
69 
9" 


178.3 

.83!a 
.183. a 
184. a 
i65.i 
186.1 
.87.1 


3,. 4 
3r.6 
3.. 8 
3a .0 

33.1 

33.3 
3a. 5 
33.6 
33.8 
33.0 


54. 
43 
43 
44 
45 
46 
47 
48 


34. .3 
343.3 
343.3 

344.3 

345.3 

346.3 


iS 
'9 


\T.s 

ii.8 
[3.8 
14.8 
i5.8 
16.7 

'.l.l 

■9-7 


0; 

o3 
o3 
o3 




71 
73 

?^ 
76 

?^ 

83 

83 

84 
65 
86 

89 

9" 


69 
70 
7' 

^3 

74 

75 
76 

78 




i3 
i3 
i3 
i3 
i3 
i3 


3 

5 

2 

4 
5 
7 
9 


33 

33 
34 
35 
36 
37 
38 


lit: 
.3..0 

.3a.o 
i3).9 
^33.1 
134.9 

.35.; 
.36.; 

-37-9 


191 

1 

95 
9" 
96 
99 


jHS.i 
,89., 
190-1 
191., 

;?3:S 

196.0 
197.1. 


33,3 
33.3 
33.5 
33.7 

itl 

34.3 
34.4 
34.6 
34.7 


35. 

5a 
53 
54 
55 
56 
57 
58 


ir. 

35l.. 

35l.l 

a53.[ 
354.. 
355.1 
356.1 


43.8 

«:? 

44.3 
44.5 
44.6 
44.8 
45.0 
45-. 


13 
1? 


10.7 
ai.7 

a4.6 
a5.6 
96.6 
17-6 
a8.6 
>9.5 


o3 
04 
04 
04 
04 
04 
04 
o5 
o5 




8[ 

83 

83 

U 

86 
87 
88 




i4 

i4 
i4 
i4 
i4 
14 
■ 5 
i5 
i5 
i5 


4 
6 
8 
9 

3 

5 
6 


43 

46 
47 
48 


,38.9 

140.8 
■41.8 

i43.8 
.43.8 
144.8 
r45.8 
146.7 
T47-7 


34 

34 
a4 
a5 
a5 

35 
35 

j5 

35 

a6 




o3 

o5 
06 

08 
"9 


197-9 

.98. 9 
.99.9 
a™. 9 
301.9 

ao3'' 

305.8 
ao6.8 


11? 

35.3 
35.4 
35.6 
35.8 
35.9 
36. T 
36.3 
36.5 


63 
63 
64 
65 
66 
67 
68 
69 


1^1 
=59-0 

36. !o 
363.0 
363.9 

363,9 
364.9 
365.9 


45.3 
45.5 
45,7 
45.6 
46. 
46.3 
46.4 
46.5 
46.7 
46.9 


3i 
33 
34 
35 
36 

U 


J0.5 
3i.5 
3a. 5 
33.5 
34.5 
35.5 
36.4 
37.4 
38.4 
39.4 


o5 
o5 
o5 
06 
06 
06 
06 
06 
06 


3 

i 

8 
9 


9' 

99 


89 
90 
9' 

1 
1 




16 
16 

16 
16 
16 


3 
5 

2 

4 


5a 
53 
54 
55 
56 
57 
58 


148-7 

\t] 

[5l.7 
l5a.6 
i53.6 
154-6 
.55.6 
156.0 
157-6 


36 

36 
36 
36 

37 




[3 
14 
i5 
16 

'9 


a<.7.8 
3»6.8 

3.4.7 


36.6 
36.8 
37.0 
37.3 
37-3 


73 
74 
75 
76 
77 
78 


366.9 
167.9 
368.9 
369.8 
370.8 
371.8 

373.8 

a73.8 
374.8 
375.7 


47-1 
47-3 

47.4 

47-6 

47-8 

|:? 

4814 
48.6 


41 
4' 

43 
44 
45 
46 

S 


40.4 
4i.4 
4a .3 

43.3 

44.3 
45.3 
46.3 
47.3 
48.3 
49-^ 


07 
07 

07 
08 
08 
08 
08 
08 


3 
5 
6 
8 

3 

5 
7 


o3 
o4 
o5 
06 

08 
09 


99 

io3 
104 

106 


5 
5 


18 
18 
r8 
18 
18 
19 


5 
9 

4 
6 

e 
9 


16. 
6a 
63 
64 
65 
66 
O7 
68 
69 


158.6 
.19.5 
,06.5 
r6i.5 
16a. 5 
i(i3-5 
i64.5 
.65.4 
,66.4 


38 

a8 

aS 
jH 
39 
39 
'9 

3V 


3 
5 


33 
34 
35 

36 
38 

S 


317.6 
3.8.6 

ir, 

331.6 

aaa.6 

333.6 

334.5 

335.5 
336.5 


38.4 
38.5 

li 

39.4 
39.6 
f8 
39.9 


8a 
83 
84 
85 
66 

ll 
89 
9" 
391 

ll 
94 

3S 


376.7 
383.6 

384,6 

385.6 
386,6 
387,6 

aSgis 
390,5 
391.5 
393,5 
393,5 

395.4 


48.8 
490 

ti 

5(..4 
■i^ 
5o., 

5. .3 

5i.4 
5.-6 
5. .7 

I:;? 


5, 
5j 
53 
54 
55 
56 

y 

12 


5l.3 

5^.1 
53. i 

If, 

56.1 
57.1 
58.1 

59.. 


09 
09 
09 
09 
09 
09 


? 

4 

6 

4 


I3 
■ 4 
i5 
16 

18 
'9 


ro9 

[i3 
114 
n5 
116 

;;8' 




19 
>9 
'9 
■9 


4 
6 
8 

3 
5 

I 


73 
74 
75 
76 

11 

It 


,68.4 
169.4 
170-4 
171.4 
17a. 3 
.73.3 
174.3 
175.3 
176.3 


39 

3o 
3u 
3u 
30 
3o 
3i 
3i 


9 

4 
6 

3 


a3i 

33 

33 
34 
35 
36 

ll 
39 
40 


337-5 

338.5 

339.5 

j3o.4 
33i.4 
j3a.4 
333.4 
a34.4 
335.4 
336.4 


40.5 
40.6 
40.8 
4..0 

M 

4. .5 
4.-7 


Dirt. 


Dep. 


La. 


Disi. 


D.p. 


L.. 


Di„. 


D«p. 


L... 


ni»i. 


Dtp. 


Lei. 


M.L D.,. 


L*i, 


[For 80 DegMM. 1 



ny Google 





TABLE 11. [r«f^ 




Difference of Latitude and Departure for 11 Degrees. 


^ 


LlL 


De 


p. DiM 


Lat. 


J^ 


DIsi 


Lai. 


>^P- 


Dist 


La 
177 




Dep. 
-34T 


341 


Lbi. 


D.p. 


—7 






T-6T 


59.9" 




118.8 


=3,1 


136:6 


46.0 








4 63 


66 


I 








[19 


6 


33.3 


83 


.78 




34.7 


43 


337.6 


46.3 








6 63 


61 






33 






33.5 


83 


179 




34.9 


43 




46.4 




03:; 




8 64 


6i 


8 






34 






33.7 


84 


180 




35. i 


44 


339^5 


46.6 




o4-9 




65 


63 


8 




4 


35 






33.9 


65 






35.3 


45 


340.5 


46.7 








1 66 


64 


8 




6 


36 


133 




34.0 


86 






35.5 


46 


34[.5 


46.9 








3 67 


65 








37 


134 




34.3 


87 


i83 




35.7 


47 


343.5 


47-' 




07.9 




5 68 


06 








38 


135 




34.4 


88 


i84 




35.9 


48 


343.4 


47-3 




08.8 




7 69 


67 


7 






39 






34.6 


89 


■ 85 




30. i 


49 


344.4 


47-5 




?2± 


01 


9_ _7^ 


68 


2. 




4 


3o 


137 




34. 8 


_92. 


1B6 




36.3 


56 


345.4 


47-7 




[o.e 






69 


7 




5 


i3j 


uB 




35.0 


191 


W 




IbJ 


■^ 


346.4 


47-9 




ir.8 




3 73 


70 


7 




7 


33 


139 




=5.3 


9' 






36.6 


53 


347.4 


48.; 




la.e 




5 73 


7> 






9 


33 


i3o 




35.4 


93 


189 




36.8 


53 


348,4 


48.3 




r3.7 
14.-' 


03 


7 74 
9 75 


73 
73 


6 
6 




3 


34 
35 


i3i 

.33 




= 5.6 
55.8 


1^ 


190 
191 




37.0 
37.3 


54 
55 


349.3 
35o.3 


48.5 




.5.7 


o3 


1 76 


74 


6 




5 


36 


l33 




36.0 


96 


193 




37.4 


56 


351.3 


48 la 




16.7 


o3 


1 77 


75 


6 




7 


37 


i34 




30.1 


97 


193 




37.6 


57 


353.3 


49.0 




17.7 


o3 


4 78 


76 


6 




9 


38 


i35 




36.3 




.54 




37.8 


58 


353.3 


4I2 




18.7 


o3 


6 79 




5 






39 


[36 




36.5 


99 


195 




38. 


59 


354.3 


4^.4 




■9.6 


o3 


8 60 


78 


5 




3 


4o 


l37 




36.7 




_^ 




38.3 


60 


355.1 


49.6 






04 


Bi 


79 


5 




T 


141 


738" 




36.9 


197 




38.4 


361 


356.3 


49.8 




11 ie 


□4 


3 8a 


86 


5 




6 


43 


.39 




37.1 




,98 




38.5 


63 


357.3 


5o.o 




aa.6 


04 


4 83 


8. 


5 




6 


43 


i4o 




37.3 


o3 


■99 




38.7 


63 


358.3 


5o.3 




33.6 


04 


6 84 


83 


5 






44 


Ml 




37.5 








38.9 


64 


359.1 


5o.4 




=4.5 


04 


8 85 


83 


4 






45 


r43 




^7.7 


o5 






39.; 


65 


366.1 


50.6 




35.5 


o5 


86 


84 


4 




4 


46 


143 




=7-9 


06 






39.3 


66 


36[.I 


5o.8 




a6.5 


o5 


3 87 


85 


4 




6 


47 


144 




38.0 


07 


303 




39.5 


67 


363.1 


50.9 




57.5 


o5 


3 88 


8G 


4 




8 


48 


145 




38.3 


08 


304 




39.7 


(>8 


363.1 


5i.T 


19 


38.5 


o5 


5 89 


87 


4 






49 


146 




38.4 


09 


3o5 




39.9 


69 


364.1 


5i.3 


36 


39-4 


d5 


7 90 




3 




3 


50 


147 




38.6 




306 




4l> 


70 


305. 


5i.5 


3i 


"30.4 


o5 


9 91 


~^ 


3 




4 


i5z 


US 




38.8 








"40.3 




366.0 


51-7 


3i 


3. .4 


06 


[ 91 


90 


3 




6 


53 


149 




39.0 




308 




40.5 


7' 


367.0 


51-9 


33 


3s .4 


06 


3 93 


9' 


3 




7 


53 


i5o 




39.3 




309 




40.6 


73 


a68,o 


53.1 


34 


33.4 


06 


5 ^ 


91 


3 




9 


54 


]5i 




39-4 








40.8 


74 


169.0 


51.3 


35 


34.4 


06 


7 ?5 


93 


3 






55 


l5! 




39.6 








41.0 


75 


16^.9 


5i.5 


36 


35.3 


06 


9 96 


94 






3 


56 


1 53 




39.8 




313 




4i.l 


76 


370.9 


51.7 


37 


36.3 




1 97 


9^ 






5 


57 


J 54 




3o.o 




3l3 




4i.4 




371.9 


53.9 


38 


37.3 




3 98 


96 






7 


58 


i55 




3o.i 




3l4 




4J.6 


78 




53.6 


39 


38. 3 




4 ^ 


97 






9 


59 


i56 




3o.3 




3r5 




41.8 


79 


373:9 


53.1 


40 


39.3 




6 166 


Ji 








6.1 


i57 




3o.5 


'" 


316 




43 .0 


80 


174.9 


53.4 


4i 


40.3 




8"-i^ 


99 






T 


7e7 


i58 




3o.7 






9 




175.8 


53:6 


43 


4i.a 


08 










5" 


63 


159 




30.9 






9 


43 '.4 




176.8 


53.8 


43 


41.1 


oB 


3 o3 










63 


.66 




3i.i 




318 


9 


4=.6 


83 


177-8 


54.0 


44 


43.2 


••e 


4 04 






IS 


3 


64 


161 




3i.3 




319 


9 


43.7 


84 


378.8 


54.3 


45 


44.1 


08 


6 o5 


jo3 








C5 


163 




3i.5 






2 


43.9 


65 


379,8 


54.4 


46 


45.1 


08 


8 06 


■ 04 








66 


i63 




3, ,7 






43.1 


86 


180.7 


54,6 


47 


46.1 


09 




■ o5 






4 


67 


i63 




3, .9 






8 


43.3 


87 


i8(.7 


54,8 




47.1 


09 


1 oS 


106 






6 


68 


i64 


9 


33.1 


38 


333 




43,5 


88 


183.7 


55.0 


49 


48.1 


09 


3 09 


107 






8 


69 


i65 


9 


33.3 


39 


334 


8 


43.7 


89 


383.7 


55.1 


56 


49- < 


"9 


5 .0 


.08 








7" 


,66 


9 


33.4 


3o 


335 


8 


43.9 


90 


384.7 


55.3 


-57 


■STT 


09 


7 '" 


1(19 










167 


t 


33 .tl 


^37 


1^ 


8" 


44.1 


391 


^857? 


"55.5 


5i 


5..0 


09 


9 (J 


ro9 


9 




4 


73 


168 


33.8 


33 






44.3 


93 


386.6 


55.7 


53 


53.0 




T i3 




9 




6 


73 


169 




33.0 


33 






44.5 


93 


387,6 


55.9 


54 


53.0 




3 .4 




9 




8 


74 






33.3 


34 


339 




44.6 


94 


388.6 


50.; 


55 


54-0 




5 i5 




9 




9 


75 


171 


8 


33.4 


35 


33i. 




44.8 


95 


389,6 


56.3 


56 


55.0 




7 16 


<i3 


9 






76 


173 


8 


33. t. 


36 


33l 




45.0 


96 


390.6 


56,5 




56. 






ii4 


I 




3 


77 


173 




33. ^ 


37 


333 




45.3 


97 


391,5 


56.7 


58 


56.9 






ii5 




5 


78 






34.0 


38 


333 




45.4 


98 


393.5 


56.9 


59 


57.9 




3 19 


rr6 








79 


1 75 




34.3 


39 


334 


6 


45.6 


99 


3?3.5 


57. T 


&. 


58.9 




4 3« 




8 


33 


9 




176 




34.3 


_^ 


= 35 


6 


45. B 


365 


394.5 


57.3 


i>,<r 


'l>.;.. 


"u 


, ltl>L. 


!)'[-. 


Tal." 


TtuT 


Hep. 


l.nl. 


»isi. 


Dcp. 


Lat. 


l>isi-| Uep. 


Lai. 


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P'c^J TABLE n. 


Dill 


Ui. 


Dep. 


Di«. 


LbU 


D«p. 


Di,^i. 


Ut. 


D.P. 


Diti. 


LaL 


D.P. 


ih>t. 


L>i. 


D.p. 




o3 
o4 
o5 
o6 
07 
08 
09 


9 
9 
9 

I 

8 
S 


^:b 


63 
63 
64 
65 

67 
66 
69 


59.7 
60.6 
Be. 6 
6>.6 
63.6 
64.6 
65.5 
66.5 
67.5 
68.5 


ii:? 

i3.3 

i3.5 

14.3 

i4.6 


53 

34 

55 

56 
58 


119 

153 
154 
155 

iiG 


4 
3 
3 
3 
3 


55 
55 

i5 
36 

36 

36 
36 
36 


4 

6 
8 

4 
8 


83 
83 
64 
85 
86 
87 

89 


l78;o 

.81.0 

.8,., 
-.Ill 


37 
.38 
38 
38 
38 
38 

1 


e 

3 


34. 
43 
43 

44 

45 
46 

47 

1 


336.7 

339.6 
340.6 
341.6 
343,6 
343.6 
544.5 


5o.3 

5(1.5 
50.7 

^:? 
5. .4 

5.. 6 

5. .8 
55.0 




i3 
14 
i5 
16 

iS 
19 


7 

6 
6 
6 
6 


o3.i 
.)3.3 
(j3.5 
03.7 
04.0 
04.3 


73 
74 
75 
76 

78 


69-4 
70.4 
71-4 
73.4 
73.4 
74.3 
75.3 
76.3 
77.3 
78. 3 


i5!o 

r5!6 
t5.8 

,6.3 

16.4 
16.6 


Ijl 

33 

33 
34 
35 
36 

39 

4" 
i4i 
43 
43 
44 
45 
46 

il 


138 

;^ 

r3i 

l33 

.33 

.34 
.35 
.36 

i36 


9 


37 
38 

38 

39 


4 
9 

3 
5 

9 


191 
9= 

i 

99 


[88.8 
189.8 
.90.7 
191.7 

■ 94-7 
.95-6 


1 

40 
4i> 
4o 




5a 
53 
54 
55 
56 
57 

i 


345.5 
346.5 
347.5 
548.4 
549.4 
550.4 
35.-4 
353.4 
353.3 
354.3 


53.3 

iii 

53.8 
53.0 
53.5 
53.4 
53-6 
53.8 
54. [ 


a6 


i3 

54 
25 

56 
37 

58 

ag 


5 
5 

5 
5 
4 
4 
4 
4 
3 


oS.a 
n5.4 
o5.6 
o5.8 
06.0 
.*,5 


85 
83 
84 
85 

87 
88 
89 
9" 


Bi.j 

85.5 

83.1 
84.1 
85.1 
86.1 
87. t 
68 .0 


17 '3 

■ 7-5 
'7-7 

Is? 
■sis 

■ 8.5 
18.7 

i 

3X,'.i 

so. 6 

30.8 


.38 
139 

:! 

i43 
.44 
MS 
.46 


9 
9 
9 

t 

8 
8 
8 


'9 
59 
59 

3o 
3<. 
3o 
3. 
3. 


3 
5 

9 

4 
6 

B 


«3 

o5 
06 

08 

09 


196.6 
197.6 
198.6 

■s.l 

301.5 
3.13.5 

3^.3.5 

304.4 

305.4 


43 
43 
43 
43 




361 
63 

63 

65 
66 
&7 
68 
69 
7<> 


355.3 
i5(i.3 
357.3 

.■^9.3 

361:3 

363.1 

363.. 

364.. 


54^5 
54.7 

It:'. 

55.3 

55.5 
55.7 

§:? 


3i 
33 
34 
35 
35 
37 
3K 
39 


Jo 
3i 

35 

33 
34 
35 
36 

u 

39 


J 
3 
3 
3 


;*6:1 
06.9 

"7^9 
oS,i 
08.3 


9' 

97 
98 
99 


89... 
90.U 
91.0 
9' .9 
95.', 
93.9 
94-9 

S:l 

V7.8 


.5- 

55 
53 
54 
55 

50 

s 


147 
.48 

■i 

l55 

.53 
.54 
.55 
i5(i 


6 
6 
6 
6 

5 
5 
5 


3i 
3. 

33 
33 
33 

3i 

33 

33 
33 


4 
6 
8 

4 
6 
9 
3 


i3 
i4 
i5 
.6 

is 

'9 


306.4 

307 -4 
308.3 

3II.3 
5.3.3 
3l3.3 

3. 5^3 


43 
44 
44 
44 
44 
44 
45 
45 
45 
45 




37. 

?3 

74 

75 
76 

78 


365.1 
366.1 
367.0 
368.0 
369.0 

370.9 
37.-9 
173% 


56:6 
56.8 

1; 

57.6 

U:l 

58-3 


4i 
■(> 

43 
44 
45 
46 
47 
48 

t 


41 

4i 
43 
44 
45 

46 

47 

47 

48 


9 
9 


,.8.7 
08.9 
09.1 
09.4 
09.6 
09.8 


o3 
"4 
o5 
06 

08 
09 


99.S 

• •.•6.6 
107.6 


111.4 

51.6 
51.8 

53!5 
33:9 


16. 
65 

63 
64 
65 

u 

69 


i58 

;s 

16. 
165 

ifi3 
.64 
i65 
166 


5 
5 
4 
4 
4 
4 
4 

3 
3 


33 

33 
34 
34 
34 
34 
34 
35 
35 


5 
9 

3 

5 

9 

3 


i3 

34 
35 

56 
58 
I! 


3.B;. 
319.. 

333 ]o 
335:0 


45 
46 
46 
46 
46 
47 
47 
47 
47 
47 




38. 

S3 

83 

84 
85 
66 
87 

11 
9" 


V4:t 

3^.8 

377.8 
378.8 
379.8 

380.7 

381.7 

363.7 

383.7 


58-4 
58.6 
58-8 

59.9 
60-1 
60.3 


53 

53 
54 
55 
56 
57 
58 

g 


g 

5i 

55 

53 
54 
55 
56 

57 

58 


9 

? 

8 

7 


I!;? 


I3 
<4 
i5 
16 

\l 
19 


m3,5 
114.4 

115.4 
116,4 
■■7.4 


j3.3 
53.5 

'l-l 

54.1 
34.3 
34.5 
s4.7 
34.9 


73 

74 

78 


168 
,69 
170 

1 73 
■ 74 
■75 
■76 




11 

36 
36 
36 
36 
36 
37 
37 

37 


8 

6 
8 


33 

33 
34 
35 
36 
37 
38 


336.9 
3'. .8 

33».8 
333.8 
534.8 


48 
46 
48 
48 
48 
49 
49 
49 

z 




391 

91 
93 

3oo 


385.6 
586.6 
587.6 
388.6 
389.5 
590.5 
39,-5 
395.5 
593.4 


6^-7 

6.:3 

61.5 
6, .7 
6a -0 
63.3 
63.4 


Din|I>ep. 


I.BL 


Di« 




n^<i 


rvp. 


1^1. 


I»» 


Dep. 


Ln. 


Diit 


Dep. 


i.>l. 


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TABLE II. lPw» 


!«« 


L»i. 


Dep. 


Viu 


Liil. 


Dep. 


Disl. 


UL 


Dep. 


Dill. 




Dep. 


Disi 


Ul. 


I>ep. 


3 

4 
5 
6 

I 

9 


U1.9 
^■9 

n6.8 
n7.8 
08.8 
09.7 




4 

7 
9 

3 

6 
8 

T 
9 

4 
6 
8 

3 
5 


63 
63 

w 

65 
66 
67 
68 
69 


61 
6. 
63 
64 
65 
66 

S 


4 

4 
4 
4 
3 
3 
3 
3 


i3 

i3 
i4 

t4 
i4 
[4 
i5 
i5 
i5 
i5 


9 

4 
6 
8 

J 

5 


a3 

=4 

35 

36 
3^ 


iiii 

131.8 
133.8 
133.7 

136.7 


37.3 
37.4 
17-7 

J? 

36 !6 
38.8 
39.0 
39.2 


i8< 

83 

83 
84 
85 
66 
87 
88 
69 
90 


176 
177 
.78 

\z 

181 
183 

i83 
i84 
i85 




tt 

41.4 
41.6 
41.8 

ti 

41.7 


i4> 

43 
43 
44 
45 
46 

47 

48 


334.8 
335.6 
336.8 
337.7 

34". 7 
a4i.f. 
143,6 
143-6 


54.1 

54.4 

i;? 

55.3 
55.6 
55.8 

56.0 
56.3 


■ 4 

16 

i8 
'9 


i(..7 
II. 7 

•11 

i4.6 
i5.6 
16,6 

;sl 

■9.5 


<)3 
1)3 
o3 
o3 
<>4 

"4 


75 

73 

;? 

76 
78 


7" 

76 


9 


16 
<6 
16 
16 
17 

t8 


4 
6 
9 

3 
5 
8 


33 

33 
34 
35 
36 
37 
38 
39 
4<> 


I38!6 
M9.6 

i3i.5 
.33.5 
i33.5 
i34.5 
135.4 
i36.4 


"9-7 

II:? 

3o.4 
3n-6 
30.8 
3i.o 
31.3 
3, .5 


191 

1 

96 
98 

99 


1H6 

It's 
189 
190 

191 
19a 

'$ 

194 




4J.c> 
43.3 
43.4 
43.6 
45.9 

44 '3 
44.5 
44.8 
45.0 


53 
53 
54 
55 

56 
57 
58 


:5« 

146.5 
347-5 
148.5 

1 1.4 

1 3.4 

1 3.3 


56.5 
5(i.7 

S:? 

57-4 
57.6 
57.8 
58.0 
58.3 
58-5 


>3 

24 

>6 

11 


ai!4 

=3.4 

^4.4 
35.3 
36.3 
37.3 
38.3 
39.3 


04 
04 

u5 
o5 
n5 
o5 
06 
<« 
06 
06 


9 

4 
6 
8 

3 
5 

7 


83 

83 
B4 
85 
66 
87 

89 

9<' 


7» 

81 
83 

83 
84 
85 
86 
87 


9 
9 

1 

8 
8 
8 


18 
18 
iS 
18 
'9 
'9 
"9 
'9 


4 
9 

3 

e 

8 


<4i 
43 
43 
44 

47 


137.4 
i38.4 

\tl 

141.3 

141.3 
143.3 
144.3 
145.1 
146.3 


3i.7 
31.9 

33.3 

33.4 

3i.6 
33.8 
33.1 
33.3 
33.5 
33.7 


o3 
□4 
1.5 

06 
09 


:is 

199 
1..3 

in4 




45.1 
45.4 
45.7 

11:? 

46.3 
46.6 
46.8 
47." 
47.3 


63 

63 

65 
66 
67 
68 
69 
1" 


354.3 
355.3 
356.3 

357.3 

liS.i 

•2:1 

361.1 
163.1 
i63.i 


58.7 

B 

60.3 

60.5 

eo.7 


si 

33 
34 

35 
36 

37 
38 

4i 
4i 
43 
44 
45 
46 
47 

48 

g 


3.:a 

3j.3 

33.1 
34.. 
35.1 
36. T 

1: 

39.0 
3^1 
40.S 
41.9 
43.9 
43.fi 
44.8 
45.8 
46.8 

%:] 


07 
"7 
07 

3 

08 
08 
08 
09 


4 
6 
9 

3 
5 
8 


9' 

i 

99 


89 
90 
9' 

94 

96 

97 


6 

6 

6 
6 
5 
5 

5 
5 
4 


au 


5 
9 

4 
6 
8 

3 
5 


.5. 

53 

53 
54 
55 
56 

u 


147.1 
148.1 

\r, 

iSl.O 
153.0 

153.0 
154.0 

154-9 
-55.9 


34.0 
34.1 
34.4 
34.6 

11? 

35.3 
35.5 
35.8 
36. 


i3 
i4 
i5 
iG 

;s 

19 

i3 

a5 
16 

38 


106 
307 
3u8 
109 

ai3 
ai4 




47-5 

a;? 

48.4 
48.6 
48.8 

11 


1 

75 
76 

78 

S. 


-.64.1 

365. 
366.0 
36,-0 

3e8.» 
166.9 
369.9 
370-9 

373 is 


61.4 
61.6 
61.9 

63.1 

63.3 
63.5 

6.. 8 
63. 


09 
09 
09 
09 


4 
9 

3 
6 
8 


o3 
04 
o5 
06 

08 
09 


98 

99 

io3 
104 
.05 
>u6 


4 
4 
4 
3 
3 
3 
3 


33 
33 
33 

33 

34 

34 

34 

34 


7 
9 

4 
6 

8 

3 

5 


161 

63 

63 
64 
65 
66 

S 
69 


156.0 

i57.fi 
i58.S 
159.8 
160.6 
161.7 
163.7 

S:; 

165.6 


36.4 
36.7 

37.3 
37.6 
37.8 
38 .0 
38.3 


ai6 

til 

319 

333 
334 




50.4 
5u.6 
5o.8 
5i.i 
5. .3 
5i.5 
5l.7 


83 
83 
64 
85 
86 
87 
68 
89 
90 


173.8 

174-8 
175-7 
376.7 

3B0.6 
381.6 
361.6 


63.4 
63.7 
63.9 
64. T 
64.3 
64.6 
64.8 
05 -0 
65.3 


52 

53 
54 
55 

56 

U 


51.6 
53.6 
53.6 

54.6 
55.5 
56.5 
57.5 
58.5 


>3 

i3 
i3 


9 

4 
6 

a 

3 

5 


i3 
i4 
15 
16 

18 
'9 


.08 
109 

m3 
114 

Tl5 

116 

I [6 


9 


35 
35 
35 

i5 

35 

16 

36 
36 
36 

37 


4 
6 
9 

3 
5 
8 


17' 

i 

SI 


lfr7-6 

168.6 

\ii 

171. 5 

17a. 5 
173.4 
174.4 
175.4 


38.7 

h 

35.6 
40.0 
40.3 

4o.5 


33 

33 
34 
35 
36 
37 
38 

% 


iiG 

:;? 
lit 

33o 

33l 

33a 
333 


9 
9 


5a .0 
5a. 3 
53.4 
51.6 

15:? 

53.3 
53.5 
53.8 
54.0 


391 

i 
311 


384.5 

385.5 
38G.5 
367.4 
188.4 
189.4 
290.4 


65.7 
65.9 
66. T 
66.4 
66.6 
66.8 
67.0 
67.3 
67.5 


DJM 


D*p. 


L«L 


Din 


nep. 


I..... 


IWm 


DpP. 


1^1. 


n«. 


Dep. 


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59. a 


i4.8 




117-4 


39.3 


181 


175.6 


40- 


14 1 


1331 


■5B:y| 




01.9 


oo'.S 


6a 


66 




i5 






n8.4 


3^.5 


3a 


176.6 


44.0 


4a 


334.3 


53 


5 


3 


oa.9 




63 


61 




i5 




a3 


1.9.3 


30.8 


83 


■77-6 


44.3 


43 


335.8 


58 


S 


4 


03.9 




64 


63 




i5 


5 


34 


130.3 


35.0 


84 


.7B.5 


44.5 


44 


i36.8 


59 




5 


•11 




65 


63 




i5 


7 


35 


131.3 


30.3 


85 


179.5 


44.8 


45 


337.7 


59 


3 


6 


01.5 


66 


64 




16 




36 


iaa.3 


3o.5 


86 


180.5 


45.0 


46 


338.7 


59 


5 




06.8 


01.7 


67 


65 




16 






133. a 


3o.7 


87 


181.4 


45.3 


47 


139.7 


5^ 


8 


3 




01.9 


68 


6b 




16 


5 


38 


134.3 


3i.o 




183.4 


45.5 


48 


340.6 


6. 




9 


08.7 




69 


67 




■ 6 


7 


39 


135.3 


3l.3 


89 


183.4 


45.7 


49 


341.6 


60 






09^ 


n7.4 




67 




16 




-i 


135.1 


3. .4 


y 


.84.4 


46.0 


56 


141.6 


60 


5 






oa.7 




"68 








iW 




3i.7 


191 


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30I 


.93.3 


5M 


i6i 


150.9 


7" -9 






06.1 


83 


78 


13.6 


43 


i36.5 


39.; 




■94.3 


55.7 


63 


351.0 
353.6 




=3 




i-e.j 


83 


79 


8 


33.9 


43 


137.5 


3$, 4 


^ 


195,. 


56.0 


63 


71 ^5 


^ 


»3.i 


o6.fi 


84 


8i 




33.; 


44 


138.4 


39.7 


04 


i^e.i 


56,3 


64 


353.8 


71.8 


35 14.0 


06.9 


65 


8[ 




33.4 


45 


■39.4 




o5 


197,1 


56.5 


65 


354.7 


73.0 


36^5.0 


07.1 


86 


83 


7 


33.7 


46 


140.3 


4o!3 


06 


.^8.0 


56.8 


66 


355.7 


73.3 


)7 rf.o 


07.4 


87 


83 


6 


>4.o 


47 


141.3 


40.5 


07 


199.0 


57.1 


67 


356.7 


73.6 


J8.56.9 


07.7 


88 


84 


6 


34.3 


48 


143.3 


40.8 


08 


199.9 


57.3 


66 


357.6 


73.9 


29 J7-9 


OS.D 


89 


85 


6 


34.5 


49 


143.3 


4r.i 


09 


aoo.9 


57.6 


69 


158,6 


74. T 


3o 


18. S 


08.3 


9" 


86 


5 


34.8 


5o 


144.3 


41.3 




301.9 


57.9 


70 


159.5 


74.4 


3i 


3U.8 


iisT 




'87 


T 






T45.3 


47:6 




303,8 


M.3 


171 


360,5 


74.7 


3il3<).8 


08. 8 


91 


88 


i 


35:4 


53 


146.1 


41,9 




3o3,B 


58.4 




361.5 


75.0 


33 3, .7 


09.1 


93 


69 


4 


35,6 


53 


147.1 


43,3 


i3 


»o4.7 


58.7 


73 


363.4 


75.3 


34 J=.7 


09.4 


94 


9" 


4 


35.9 


54 


148.0 


43.4 


■4 


305.7 


59.0 


74 


363,4 


75.5 


35 33.6 


09.6 


95 


9' 


3 


36.3 


55 


149.0 


43.7 


,5 


306.7 


59,3 


75 


364.3 


70.8 


36.34.6 


"9-9 


96 


95 


3 


36.5 


56 


isii.o 


43. n 


,6 


307,6 


5;,5 


76 


165.3 


76.1 


37 


35,6 




97 


93 




36. 7 


57 


i5o.9 


43,3 




3o8.6 


59,8 




366.3 


76.4 


38 


36.5 


io!5 


98 


94 






58 


i5,.9 
, 53.fi 


43.6 


18 




66.1 


78 


167.1 


76.6 


39 


37.5 




99 


95 




37.3 


59 


43.8 


'9 


310:5 


60.4 


79 


368.3 


76.9 


4" 


38.5 


11.0 




JiL 


1 


37.6 


6<> 


153.8 


44. r 




311.5 


&.,6 


8^ 


'69.3 


tTs 


4i 


3lM 


77T 




97 




178 


leT 


154.8 


44,4 




313.4 




Is? 




4= 


40.4 


[1.6 




98 




38.1 


63 


.55.7 


44.7 




3,3.4 


61!; 


83 


171,1 


77-7 


43 


4t.3 


11.9 


o3 


99 




38.4 


63 


,56,7 


44,9 


33 


314.4 


61.5 


83 


373.0 


76.0 


44 


4J.3 




04 






38,7 


64 


.57.6 


45,3 


>4 


315.3 


61.7 


84 


173.0 


78.3 


45 


43.3 


i]!4 


o5 




9 


38.9 


65 


.58.6 


45,5 


35 


316.3 


63.0 


85 


374." 


78.6 


46 


44.3 




06 




9 


39.3 


66 


, 59.fi 


45.8 


36 




63.3 


86 


374.9 


78. 8 


47 


45.1 


i3.o 


"7 




I 


39.5 


67 


160,5 


46. 




3,8.3 


63.6 


87 


375,9 
176. s 


79-' 


48 




l3.3 


08 103 


39.8 


68 


161. 5 


46.3 


38 


319.3 




88 


79-4 


49 


47^1 


i3.5 




8 


3?i.o 


69 


163.5 


46.6 


»9 




63.1 


89 


177-8 


79-7 


si; 


46.1 


■ 3-8 


lOi 


i(.5 


7_ 


3o.3 




163.4 


46.9 


3.. 


31, .1 


63.4 


y 


378,8 


2S± 




'4T^ 


■ 4.1 




17*" 




"STTe 




■ 64.4 


47," 


l37 




ery 


391 


379,7 


80., 


57 


5u,u 


r4.3 








30.9 




i55-3 


47,4 


33 


333.0 


63.9 


93 


382.7 


80.5 


53 


5...9 


i4.6 


i3 


108 


6 


3i.T 


73 


166,3 


47.7 


33 


3 34... 


64.3 


93 


381 .6 


80.8 


54 


5r-9 


14.9 


14 


1U9 


6 


3i.4 


74 


167.3 


46 ,0 


34 


334.9 


64.5 


94 


383,6 


81.0 


55 


53 .S 


i5.J 


i5 






3i.7 


75 


r68,3 


48,3 


35 


335.9 


64.8 


95 


363,6 


8. ,3 


5(i 


,5.4 


16 






33 .u 


76 


.69,3 


48,5 


36 


336,^ 
J37,6 


65.1 


h 


384.5 


8.. 6 


57 


54.8 


■5.7 








33.3 






48,6 


37 


65.3 


97 


385.5 


31.9 


58 


55,8 


16. u 


]8 


1)3 




3)-5 


78 




49,1 


36 


336,8 


65,6 


98 


3S6.5 




H 


56.7 


1S.3 


19 


m4 




33.8 


79 




49,3 


39 


339.7 


65.9 


99 


387.4 


}l!4 


6^ 


?7.7 


16.5 




ii5 




33.1 


86 


173.0 


49.6 


40 


»36.7 


66,1 


366 


388.4 


Si .7 



































ny Google 



TABLE n. IPt-m 
Diflerenoe of Latitude and Departure for 17 Degreei. 


Km. 


Lm. 


Dcp. 


D«L 


Lat. 


Dep. 


Di» 


Lai, 


D,p. 


Di«. 


LaL 


Dep. 


Diil 


Lat. 


Dep. 


3 

4 
5 
6 

i 

9 


01.9 

o4.8 
o5.7 
06.7 


00 


3 
6 
9 

5 
8 

3 
6 
9 


63 
64 
6^ 
66 
6t 
68 
69 


5« 

£ 

61 
61 
63 
64 
65 
66 
66 


3 
9 


18.4 
18.7 

;^:3 
19.6 

[9.9 

sols 


33 

'4 
a5 
iS 

11 


117.6 

II. .5 

iaa.4 
ia3.4 
ra4.3 


35.7 
36. 
36.3 
36.5 
36.8 

l;i 

38.0 


8a 
83 
84 
85 
66 
87 
88 
89 


.73.. 
.74.0 
.75.0 
.76.0 
.76.9 

ir, 

18. .7 


ll:t 

53.5 
53.8 
54.1 

55.3 
55.6 


14. 
43 
43 
44 
45 
46 

47 

48 

n 


a3o.5 
331.4 
J3a.4 
333.3 
334.3 
a35.3 

336.3 


70.5 
70.8 

B 

71.9 


11 
i4 
iS 

;.' 

■9 


.0.5 

■ •.5 
ia.4 
i3.4 

i4-3 
i5.3 
.6.3 

19.1 


«3 

o3 
o3 
04 
04 
04 
o5 
o5 
o5 
o5 


5 

8 

4 

3 
6 


71 

?3 

74 
75 
76 

S2 


07 
68 
69 
70 

7» 
73 

1 




11.3 
II. 6 
11,9 

ia!5 
aa.8 
i3,i 
j3.4 


32 

33 
34 
35 
36 

II 

39 

4o 


.15,3 
lae.a 

.aslt 

;g:: 

r3i.o 
i3a.o 

.33.5 


38.3 
38.6 

%:t 
39.5 

35.8 

4o.i 
40.3 
40.6 
40.9 


191 

n 

i 

99 


i8a.7 
i83.6 
184.6 
185.5 
.86.5 
187.4 


55.8 
56.1 
56.4 
56.7 

5,.6 

S:l 

58.5 


35l 
53 

53 
54 
55 
56 
57 
58 


340.0 
341.0 
34. .9 

343.9 

a43.Q 

344.6 
345.8 
346.7 
»47-7 
148.6 


74.6 
74.8 


11 
i4 

12 


»0.I 

a3!o 
.3.9 

34-9 

26.6 


06 
06 
06 

07 
°7 
07 

oa 


4 

3 
6 
9 

5 
8 


83 
84 
85 
8G 

S 
», 


78 

63 
83 
84 
85 
86 




aJ.7 
94.0 
J4.3 
M.6 

■J:? 

i5.4 
26.3 


>4i 
4a 
43 
44 
45 
46 

ii 


,34.8 

■ 35 .8 
[36.8 

■ 37.7 
i38.7 
139.6 
>4o.6 
.4<.5 
.43.5 
.43.4 


4i.a 
41.5 
41.8 
43.. 
43.4 

iV.l 

43.3 
43.6 
43.9 


o3 
o4 
o5 
06 

S 

09 


1,6.0 

'¥ 

198.9 

Si 


60.3 

60.5 
60.8 
61.1 
61.4 


63 
63 
64 
65 
66 

ii 
69 


149.6 

350.6 
1S..5 

«S3,5 
353.4 
i54-4 
a55.3 
a56.3 

Si 


76.3 
76-9 

77-5 

78.4 
78.6 
78.9 


3[ 
3i 
33 
34 
35 
36 
3? 
38 

2 


19.6 

3i.6 
3.. 6 
3a. 5 
33.5 
34.4 
35.4 
36.3 
37.3 
38.3 


09 
09 

°9 


4 

6 
9 

5 

4 


i 

96 

99 


87 
88 

89 
90 
9" 

1 




26,9 
57. a 

:^:; 

jB.4 
38-7 
38.9 
=9-> 


iS. 

5a 
53 
54 
55 
56 
57 
58 

S 


144.4 
145.4 
.46.3 
147.3 
i48.a 

IS:; 

i5i.. 
i5a.i 
i53.o 


44.1 
44.4 
44.7 
45.0 
45.3 
4S.6 
45.9 
46. a 
4G.5 
46.8 


i3 
14 
i5 
16 

"7 
18 
■9 


303^7 

3o5!6 
306.6 
ao7.5 
ao8.5 

I2i 


6].o 
5a. 3 
61.6 
6J.9 
63.1 
63.4 

64.3 


17. 

73 
74 

75 
■ 76 

^ 

11 

8a 
83 
84 
85 
86 
87 

s? 


:i':; 

a6..i 
36a .0 

163.0 
363.9 
a64.9 
a65.9 
a66.S 
a67.8 
3-6877 

a7i.6 
373.5 
373.5 
374.5 
375.4 
376.4 
377-3 


^ 

60.4 
80.7 
81.0 

8. .3 
81.6 

83.4 

83.3 
83.6 

SI 

84-5 
84-8 


4) 
4i 
43 
44 
45 
46 

47 

48 
^5? 


4[.i 
4=.i 
43.0 
44.0 
44.9 
45.9 
46.9 
47-6 


i3 
i3 
i3 
i4 
■4 
<4 


3 
6 
9 

4 

7 

3 
6 


o3 
04 
o5 
06 

3, 

09 


96 

U 

99 

io3 
io4 
io5 




r. 

3..4 

3i.3 

3i.6 


.61 

6a 
63 

64 
65 
66 

Ii9 


.54.0 
154.9 
155.9 
.56.8 
157.8 
158.7 

•M:l 

.61.6 
163.6 


47-1 
47.4 
47-7 
47-9 
48. a 

49.7 


33 
34 

a5 
a6 

11 


a.aJ 
ai3.3 

316.1 


64.6 
64.9 
65.3 
65.5 
G5.8 
66.1 
66.4 
66.7 
67.0 
67.3 


5i 
5i 
53 

li 

56 

57 
5S 


48. S 

tl 
5i.6 
5j.6 

53.6 
54.5 
55.5 
56.4 
57.4 


i4 
.5 
i5 
iS 
■6 
r6 
16 


9 

5 

8 

4 

7 
5 


i3 
i4 

i5 
16 

\l 

'9 
uia. 


107 
108 

Im 

ii3 
ii4 




ii.b 
3a. 7 
33.0 
33.3 
33.6 

'it 

34.5 


171 

55 

74 
75 
76 

77 
78 

'^ 
Dill 


i63.5 
164.5 
.65.4 
.66.4 
.67.4 
.68.3 
169.3 
.70.3 
.71.3 


5o.<. 
5o.3 
5... 6 

5i.5 
5.-7 
5a.o 
53.3 
53.6 


i3, 
3a 
33 
34 
35 
36 

U 

39 
4u 


330.9 

33316 

aa4.7 
aa5.7 
aa6.6 
aa7.6 
aa8.6 
339,5 


U7-5 
07.8 
68.1 
68.4 
68.7 
69.0 

69.6 
69.9 


391 

93 

1 

Ilial 


a78.3 

a8..3 
383.1 
383.1 

aa4.o 

385-0 
185.9 
366.9 
Dfp. 


65.4 
85.7 
86.0 
66.1 
B6.5 
86.6 
87.1 
87.4 
87.7 
Ui. 


l^M. 


Ifep. 


L. 


I. 


Dep. 


LSI. 


Dcp. 


Lnl. 


Di«l 


Dep. 


l,Bl. 


[For73D.)t™«.. ] 



ny Google 



Dill 


Lau 


Dep. 


Dau 


Lm 




D.-P. 


n»i. 


LbL 


Dep. 


Dl*i. 


LaL 


nop. 


Dill. 


Ls<. 


D.|,- 




or .9 

o4.S 
o5.7 
o6.7 
07.6 
o8.6 
09.5 


o3 


i 

6 
9 
5 
9 

5 
8 


bl 
61 
63 

64 
65 

60 
67 
68 
69 
70 


i 

61 
61 

63 

64 
65 
66 


9 

1 

8 

6 
6 


.a.9 

■'i 

19.8 

ao!4 

11 '.3 
ir.6 


33 

j4 
:i5 

38 


■ ■5.[ 
116.0 

;;iJ 

131.7 

133.6 


J7.4 

38.3 
38.6 
38.9 

p 


[Hi 
61 
83 
84 
85 
86 
87 
88 
89 
90 


173.1 
173.1 

i78!8 


56 
56 
56 
57 
57 

58 
58 


9 

6 
9 

5 
8 

4 


14. 

43 
43 
44 
45 
46 
47 
48 

S 


319.1 

33o,i 
i3i,. 
i3i.. 

i33.o 
134.0 
134.9 
135,9 
i36.8 
137.8 


74,5 
74,8 

76,0 
76.3 
76.6 

S:l 




II !4 

19.4 

i3.3 
■4.3 
iS.i 
16.1 

\l\ 

19.0 


o3 
o3 
04 
04 
o4 
04 
o5 
05 
o5 
06 


4 

3 

6 

t 
6 
9 


i 

i 

78 


t>7 

68 
69 

73 
74 


5 
5 
4 
4 
3 
3 


31.9 
ia!6 

?!:? 

i3.5 
13.8 
14.1 
14.4 
34.7 


3i 
33 
34 
35 
36 
37 
38 

i 


114. b 
135.5 
iiG.5 
117.4 
118.4 
.39.3 
136.3 
i3i.i 

.33.3 

133.1 


4o.b 
40.8 
4.. I 
41.4 

%:l 

41.3 
41.6 
43.1 
41.3 


19- 
99 


181.7 
183.6 

183.6 
184.5 
185.5 

.87:4 
.88.3 
.89.3 
.90.1 


1 

60 
60 
61 
61 
61 


3 
6 

S 

6 
9 

5 
8 


lii 

1 

55 
56 
57 
58 


338-7 

3i 

34. .6 

i4i,5 
143.5 
144,4 
345.4 
146.3 
147-3 


■78,8 

?|:; 

8o.3- 


1 

16 

38 

II 


JO. 9 

]3.8 
34-7 
a5.7 
a6.6 


06 
07 
07 

oB 
oS 
09 
09 


8 

4 
7 

3 

3 


81 
83 
84 
85 
86 
87 
88 
89 
9" 


77 

;i 

SI 

81 
81 

83 

B4 
85 


9 

8 

6 
6 


ib.o 
i5.3 
i5.6 

36. D 

36,3 
16.6 

f't 
37^5 
17.8 


i4i 
43 

43 
44 
45 
46 

47 

48 
^5^ 


i34.i 
.35.1 
i36.o 

m 

143I7 


44.5 
44.8 

45.1 

45.4 
45.7 
46. 
46.4 


o3 
04 
o5 
06 

08 
09 


19.. 1 

ip 

195.9 
.56,0 
'97-8 
,98.8 
'99-7 


03 
61 
61 

63 
63 
63 
64 
64 
64 
64 


4 
3 

3 

6 
9 


3tn 
61 

63 
64 
65 
66 
67 
68 
69 


348.1 

i5i.i 
i5i,o 
153.0 
153,9 
354,9 
355.6 
i56,8 


80.7 
fli.o 
8[.3 
81.6 

1;;! 

81,5 
83.8 
83.. 

83.4 


3i 
3i 
33 

li 

36 

37 
38 

H 


1^ 

3«.3 
33.3 
34. 1 
35.1 
36.1 

U-1 


09 
09 


6 
9 
5 
B 

4 
4 


91 

1 

99 


87 
6B 
89 
90 
91 


5 
4 
4 
4 
3 
3 


38,1 
38.4 
36.7 

■|:5 

3o.3 
3o.6 
30-9 


53 

53 
54 
55 
56 
57 
58 


144^6 
145.5 
.46.5 
.47-4 
.48.4 
.49.3 
.56.3 

I5..3 

l53.1 


46,7 
47.0 
47-3 
47-6 

il:t 

48,5 
.18.8 


i3 
i4 

16 

\l 

'9 


10. ^6 
101.6 
ii>3.5 

3:5 

106.4 
107,3 
108.3 


6b 
65 
65 
66 
66 
66 
67 
67 
67 
68 


5 
8 

4 

7 

4 


75 
73 
74 
75 
76 

78 
79 
80 


157,7 
158,7 
159,6 
160,6 
36.. 5 
163.5 
163.4 
164,4 
165.3 
366,3 


83,7 
84.1 
84-4 

l^:J 

85,3 
85.6 

il 
86:5 


4t 

46 

47 
48 

8 


4i.8 

45.7 
46.6 
47.6 


t3 
t3 
i3 
[3 
14 
t4 
14 
i5 
i5 


3 
6 
9 

5 
8 

5 


o3 
04 
o5 
06 

06 
09 


96 

i 

99 

io3 
io4 


9 

8 
8 

6 


3i.5 
3i.8 

32.1 

31.4 
3:. .8 
33.1 
33.4 
33.7 
34.0 


63 

63 
64 
65 
66 
67 
68 
69 


.53.1 

.54.1 
i55.o 
.56.0 
156.9 

lilt 

16. .7 


r. 

5o.4 
50.7 
5i,o 
5i.3 
5.. 6 

i;;? 

5i.5 


i3 

i5 

16 

>8 

It 


3i3,o 

114,0 
3.4.9 
3.5.9 

1.6.6 
1.7.8 

318.7 


68 
68 

69 


6 
9 

5 
8 

5 
8 


8i 
83 

84 
85 
86 
87 

89 
90 


367,3 
168.1 

373:0 
373.9 

lltt 


86. 8 
87,1 
87.5 
87.8 
88.. 
88.4 
88.7 

»?.6 


53 

53 
54 
55 
56 
5? 
58 


48 .S 
49.5 
56. 4 
5i.4 

53!3 
54.1 
55.1 
56.1 
57.1 


>5 
[6 
16 
16 

iS 
iS 


8 
4 

3 

6 
9 
5 


t3 

i4 
i5 
16 

\l 

'9 


I Ob 

■ <j6 

[oS 
109 

II3 

1.4 


6 
5 
5 
4 
4 
3 
3 


34,3 
34.6 

S:l 

35.5 
35.8 
36.3 
36.5 
36.8 
37. > 


73 
74 
75 
76 

78 


161.6 

163.6 
164.5 
i65.5 
.66.4 
167.4 
.68.3 
.69.3 


51.8 
51.1 
53,5 
53.8 
54.1 
54.4 
54.7 
55,0 
55.3 
55.6 


3i 

33 
34 
35 

35 
37 
38 
39 
4" 


111^6 
111,5 
3i3.5 
314.4 
115.4 

336,4 

337,3 
318.3 


71 
71 

71 
73 
73 
73 
74 


4 

3 
6 
9 
5 
9 


19. 
90 


3768 

3:; 

Si 

161.5 

i83!4 

184.4 
i8S,3 


«9-9 

V.:l 

90.9 

'■1 

91.8 
93.. 

91-4 
9^-7 


Km. 


Dep- 


LlL 


Dill 


Do,. 


l,ni. 


Diii 


IM,. 


l.nl. 


Disi 


Dep. 


Lai, 


Dili 


Dep. 


Lai. 


[For 73 Degree*. 



ny Google 



Dix 


l,a.. 


Dep. 


Dill 


Lai. 


Dep. 


I>lsl 


La.. 


Di.p. 


Di5. 


Lai. 


Dep. 


DUi 


Lat. 


D^ 


3 

5 
6 

I 

9 


00.9 

o3,e 
c.4.7 

05.7 
06.6 
117.6 
08.5 
09.5 


o3 


3 
5 

3 
6 


63 
63 
64 
65 
6(i 

70 


6.-5 
63.4 
63.3 
64.3 
65.3 
66.3 


19.9 

jo!5 
30. 8 

11I5 

31.8 

"is 


33 
34 
35 
36 

18 

11 


114.4 
11S.4 
■ ■6.3 
1.7.3 

.18.3 
119.. 


40.0 
40.4 
40.7 
41.0 
41.3 

t\l 
43.3 


181 
83 

83 
84 
85 
86 
87 

89 


171.. 

173^0 
174.0 
.74.9 

\fe\t 
177.8 
178.7 

179-6 


1 

60 
60 

e. 
61 
61 


I 


341 
43 
43 
44 
45 
46 

% 


IIU 
339.8 

330.7 

>3l.7 

333.6 

333.5 
334.5 
335.4 
336.4 


7B.5 
78.8 

?,} 

80-4 
80.7 
81. 1 
8i-4 


i3 

[4 
i5 

i6 

'9 


10.4 
11.3 
ia.3 
[3. J 
[4-1 
.5,1 
16.1 


o3 
04 
04 
o4 
05 
o5 
o5 
06 
06 


9 
6 
9 
5 
9 
5 


^ 

83 
83 
84 
85 
86 
87 
88 
89 
90 


69:0 
70.0 
70.9 

III 
73.8 

78.5 

8, .3 

83^3 
84.3 
85.1 


3J.1 

Hi 

34.1 
34.4 
>4.7 
35.1 
35.4 

26.4 
J6.7 
37.0 
37.3 

S:: 

38.3 
38.7 

g:l 


33 

33 
34 
35 
36 
37 
38 

4^ 


133.9 
.34.B 

.36^7 
.37.6 
.38.6 

.3^.5 
i3i.4 

133.4 


43.6 
43.0 
43.3 
43.6 
44.0 
44.3 
44-6 
44.9 
45.5 
45.6 


.91 

9' 

i 

99 


1S1.5 
163.5 
.83.4 

.64.4 
,85.3 
.86.3 

.89:. 


63 

63 

63 
63 
63 
64 
64 
64 
65 




35l 
S3 

53 
54 
55 
56 

U 


337.3 
338.3 
339.3 
340.3 
241.1 

343,1 
343-0 
343.9 

344.0 
345.6 


83,0 
83.4 
83-7 
83 -0 
83-3 
83.7 
84.0 
84.3 
84-6 


33 

1? 


III 

=4.6 

35.5 

36.5 
37.4 
38.4 


"7 

08 
06 
09 
09 
09 


5 
S 

5 
8 

4 

8 


r4i 
43 
43 
44 
45 
46 

1^ 

1' 


134-3 
135.3 
136.3 
l37.. 
133.0 

:|:°, 

140.9 


ti.t 

46.6 
47.5 

S:? 

48.5 
48.8 


o3 
o4 
o5 
06 

7s 

09 


190.0 
191.0 
19. .9 

i?4.8 

196.7 
197.6 
198,6 


65 
66 
66 
66 
67 
67 
67 




63 
63 
64 
65 
66 

S 

69 


346.8 
247-7 
348-7 

Itl 

351.5 

353-5 

253-4 

'Mi 


85^3 
85-6 
86.0 
86.3 
86.6 

87:1 
87.6 
87.9 


3j 
33 

34 
35 

36 

JJ 


39.3 

3[.3 
33.1 

33.1 

34.0 
35.0 
35.9 
36.0 
37.S 


r3 


4 

4 

7 

4 

7 


91 
99 


87.0 
87.9 
68.9 
89.8 
90.8 
91-7 
93.7 
93.6 
94.6 


3o.3 
3o.6 

3. ,6 

t'. 

3i.6 


.Si 

53 

53 
54 
55 
56 
57 
58 


.43.8 
143.7 
144.7 
145.6 
1.46.6 

i5i.3 


r, 
a 

5,., 

5(.4 


!3 
14 
i5 
16 

le 

'9 


.99.5 
I0O.4 

30.. 4 

aoj.3 

303.3 
304.3 
305.3 

306.. 
308 !o 


69 
70 
70 
70 




371 

55 

74 
75 
76 

?i 

It 


261.0 
j|;-9 

363 !8 
»64.7 


88.6 

15.5 
89.9 
90.= 

90.5 

9..B 
,,.1 


4i 
4i 
43 

44 
45 
46 

a 


39,7 
40.7 
4i.6 
4J.5 
43.5 
44.4 
45.4 
46.3 
47.3 


i3 
14 

■ 4 

■ 4 
i5 

■ 5 
.5 
■6 
■6 


3 

3 

3 
6 

3 


04 
o5 
06 
07 
08 
09 


95.5 
96.4 

pi 

103] 1 
104.0 


33.5 

S:? 

34.5 
34.8 
35.3 
35.5 
35.8 


.6. 
6> 
63 
64 
65 
66 

^ 
69 


.53.3 
i53.3 
154.1 
i55,. 
I56.0 

158.6 
,59.8 


53^7 
53.1 
53.4 

54,4 

55.3 


33 
14 
i5 
16 

11 


309.0 

309-9 

3.4.6 

3i5.6 
316.5 

3(7-.5 


7i 
73 

;i 

73 

74 
74 
74 


3 
6 

t 
6 
9 
6 


83 
84 
85 
86 

u 

89 


366.6 

S:? 

369.5 
270-4 
371.4 
372.3 
373.3 


9.. 5 

9[.a 

93. T 

91.! 

93.1 
93.4 
93.8 


53 

54 
55 
56 
57 
58 


48.3 

5r.i 
53.0 

-1 

54.S 
55,8 
56.7 


■6 

'7 

\l 
18 

18 
'9 
19 


6 

t 
6 
9 
6 

9 
5 


I3 
■4 
■ 5 

16 

;i 

'9 


>o5.9 
106.& 
107,8 
108.7 

■ 11.6 

1.3.5 

ii3.5 


36.5 
36.8 

37.8 

38.1 
38.4 
38.7 
39.. 


73 
74 
75 
76 

78 

It 


i6»!6 
i63.6 
164.5 
165.5 
166.4 
167.4 
168,3 


S:2 

56.3 
56.6 
57.0 
57.3 
57,6 
58. 
58.3 


33. 
33 

33 
34 
35 
36 
37 
38 
39 
4u 


318-4 

",V.i 

331.3 
333]l 

334. r 

3J5.0 
336.0 
316.9 


75 
75 
76 
76 
76 

78 


5 
9 

5 
8 

5 

8 


391 

95 

96 

9? 


375.1 
376.1 

378 io 
378.9 
379.9 
380.8 
381.8 
283-7 

383.7 


^.0 

96.7 
97.7 


nisi. 


l^,p. 


I.Bt. 


Olsi. 


Dep, 


I.XI. 


Di-l, 


Dep. 


U<. 


I>i.. 


Dep. 


L... 


Dis. 


IXp- 


Lai. 


[For 71 DegiM.. | 



ny Google 



e*t»xi TABLE II. 

Difference of Latitude and Departure far 20 Degrees. 


i>i» 


Ux. 


Dop. 


Di<L 


Lbi. 


itep. 


Dill 


Ijl. 


r>rp. 


21 

iBi 
Sa 
83 
84 
85 
86 
87 
88 
89 
90 


I.,U 1 D.p. 


Hill 


i,»i. 


D.^p. 


3 
4 

S 
6 

I 
9 


00.9 

:;:! 

o3.8 
04.7 
o5.6 
06.6 
07. 5 
08.5 
09-4 


oI:4 
01.7 

ii 
03' 1 
03.4 


61 
63 
64 
65 
66 
67 
63 
69 
70 


57 

58 

6j 
6a 
63 
63 
64 
65 


3 
3 

i 

8 


10.9 

3i;5 
ai.9 

IV.l 

a3.0 
a3.9 


a3 
a4 
a5 
aO 

U 


ii3 
'i4 
ri5 
• 16 

iiS 
119 


I 
6 
5 
5 
4 
3 
3 


4. 
4i 
43 
43 
43 
43 
43 
43 
44 
44 


4 

7 

4 
4 
5 


170 
17> 

■ 73 

171 
173 

:ii 

176 
1 78 


8 

7 
7 

5 


616 

63? 
63,6 
64.0 
64.3 
64.6 
65.0 


a4. 
43 
43 
44 

45 
46 

47 
48 

t 

53 

53 
54 
55 
56 
57 
5B 

U 


«6.5 

33) .1 

33a.. 
333. 
a34.o 
a34.9 


8a.4 
83.8 
83.1 
83.S 
83.8 
84.1 
84.5 
84.6 
85.a 
85.5 


t3 
i4 

i6 

]6 
•9 


10. J 

M.3 

i4.i 

i5.o 
16.C 
.6.9 


oJ.B 
04.1 
04.4 
04.8 
<>5.. 
.>5.5 
o5.8 
06. J 
06.5 
06.8 


7J 
73 

'4 

76 
78 
i2 


O7 
68 
69 

7a 
73 
74 
75 


7 
7 

5 
5 
4 
4 
3 


a4.6 
a5.o 
a5.3 
j5.7 
36.0 
j6.3 
a6.7 
57.0 
a7-4 


1J1 
3a 
33 
34 
35 
36 
37 


.33 

134 

ra5 

,35 

i3i 


9 

t 

6 
6 


44 
45 
45 
45 
46 
46 
46 
47 
47 
47 


5 

5 
9 
5 
9 


19. 

i 

95 
96 

P 

99 


1^ 

rSi 
183 
.83 
■ 84 
■85 
.86 
187 


5 
4 
4 
3 

9 


65.7 
65.0 
664 
66.7 

T' 

68.4 


335.0 
336.8 
337.7 
338.7 
339.6 
34J;.6 
a4t.5 
a43.4 
343.4 
a44.3 


86.3 

66.5 
86.9 
87.i 
87.6 
87.9 
88.J 
88.6 
B8.9 


i3 

=6 
11 


19.7 

aj.6 
a3.5 
34.4 
?5.4 
36.3 


08.6 
08.9 
09. a 

i:? 


))[ 
6] 
83 

84 
85 
86 
87 

89 
90 


7e 

is 

79 
81 

8a 
83 
84 


9 

I 

6 


:S:5 

38.7 

r. 

30.4 
3n.8 


i4i 
43 
43 
44 
45 
46 

47 
48 

t 


i33 
J 34 
j35 
i36 
1 37 
i38 
■ 39 
14.1 
l4r 


4 
4 
3 
3 


48 
48 
49 

1 

5o 
5i 
5i 


6 

! 

6 

1 

6 
3 


o3 
o4 
o5 
06 

08 
09 


■ Utt 
,89 
190 
191 
.93 
193 

;i 

196 


8 
s 

I 

6 
5 

5 
4 
3 


6M.7 

^,8 

^^5 

70.8 

71 !5 
71.8 


6a 
63 

% 

66 
69 


345.3 

346.3 

347.1 

a48.. 
349.0 

350.0 

aSo.o 

35.. 2 

353.8 

353.7 


89.3 
^.6 
90.0 

91.7 

111 


3i 
33 

34 
35 
36 

It 


a; 

3i.o 

33.8 
34.6 
35.7 
36.6 
37.6 


11.6 

Is!' 

i3.3 
t3.t 


9' 
91 
93 

P 
99 


Hi 
86 
87 

89 
9" 
9' 

I 


5 
5 
4 
3 
3 


3i.i 

3f.5 
3i.8 

3j.i 
3a. 5 
3a .6 
33. a 
33.5 


5a 
53 
54 
55 
56 
57 
58 


i4i 
r43 
143 
144 
145 
i46 

■ 47 

■ 48 


2 

8 

I 

5 
5 
4 

4 


5a 
Sa 
5a 
53 
53 
53 
54 
54 
54 


3 

4 
4 


I3 
■4 
.5 
[6 

18 
'9 


198 

'99 

ao3 
ao3 

304 

ao5 
ar6 


3 
9 

2 


73.3 

73.5 
73.9 

74.6 


371 
7a 
73 

77 
78 

^ 

83 

83 
84 
85 
86 
87 
S8 
69 
V> 


354.7 

355.6 
a56.5 
a57.5 
358.4 

'2:i 

rfi.a 

363.3 

363.1 


93.7 
95,1 

Jib 


3; 

43 
44 
45 
46 
4? 
48 

t 


Jd.'j 
39.5 
4'>.4 
4i.3 
41.3 
43. a 
44.1 
45.1 
46.0 
47.0 


i4.'4 

'4.7 

i5.o 
1S.4 

;?:; 

16.4 

16,8 


o3 

o4 
o5 

06 

S 

09 


t 

99 
io3 


1 
I 


34.5 

lit 

35.6 
35.9 
36.S 
.36.6 

g:S 

37.6 


6a 
63 
64 
65 
66 

69 


i5a 

■ 53 

■ 54 

■ 55 

■ 56 
.56 

\U 
,59 


3 
9 

1 

7 


55 
55 
55 
56 
56 
56 
57 
57 
57 
58 


4 
4 

e 

5 
8 


a3 
a4 
]5 
a6 

a8 

1^ 


309 

ai3 

3l4 
3]5 
3l6 


6 
5 

4 
4 
3 


1? 

,6.B 

"1 

78.3 
78.7 


a64.i 
365. 
365.9 
366.9 

a69.7 
170.6 
371.6 

373.5 


??.B 

^ 

58.« 
99-I 
„.5 
999 

"»-9 
101 !6 

103.6 


5i 
53 

li 

56 

y 

L' 

Via 


51.6 
53.6 

Hi 

56.4 
Dep. 


r7;8 
18.1 

18.5 
18.8 
19. J 
.9.5 
19.8 

ao!5 
Iju. 


i3 
i4 
i5 
16 

l^ 
'9 

DbT. 


■ 04 

■ o5 
106 

[□a 
109 
109 


9 

I 

8 


38. u 
38.3 
38.6 

1? 

40.0 
40.4 
40.7 
4r.n 


7» 
73 
74 
75 
76 

11 
32 


.61 

■ 63 

■63 
164 
i65 
i66 
■67 
168 

■ 69 


6 
6 
5 
4 
4 
3 
3 


58 

1 

60 

fx. 
6. 
61 


B 

5 
9 
5 
9 

6 


3a 
33 
34 
35 
36 
37 
38 

i 


3.8 
319 

333 
334 

aa5 


9 

t 

a 

6 
6 
5 


79.0 
79.3 

79-7 

80.0 
ao.4 
80.7 
81.1 

81.4 

81.7 
83. [ 


391 

,1 
1 

96 


373.5 
374. 4 
375.3 

3^.3 

378!. 
379.1 
386.0 

38[.0 
38. .9 


Dop. 


l.«.. 


Di,i. 


Hep. 


I, 


. 


i)i>t. 


Dep. 


L«l. 


tii.1. 


d™. 


Lai. 




tFbr Tn DtgnM. | 



ny Google 







































Did 

3 
4 
5 
6 

B 
9 


Lai. 


Dep. 


Disi 


Lai. 


\Mp. 


DK< 


Lai. 


Dep. 


Hku. 


La., 


Dep. 


Did 


Lii, 


llep. 


00.9 

o3.7 

06.5 
07.5 
08.4 
09.3 


op 

o3 
o3 




61 
63 

64 
65 
66 
67 
68 
69 
70 


56 

S 

61 
61 
63 
64 
65 


9 

1 

7 

I 

5 
5 

4 


ai.9 

n:! 

j3.7 
34.0 
34.4 
34.7 
i5.i 


33 

34 

35 

36 

3^ 
It 


116.7 
117,6 

130.4 
131.4 


43,4 
43.7 
44.1 
44.4 
44,8 
45.3 
45.5 

%-x 

46,6 


181 

83 

83 
84 
85 
86 
87 

89 
90 


170 

'7' 
I?3 
'74 
175 
176 


i 

8 

6 
6 
5 

4 


64-9 
65.3 
65.6 
65.9 
66.3 
66.7 
67.0 
67.4 
67.7 

68,; 


34 1 
43 
43 

44 
45 
46 
47 

1 


335.0 
335.9 
336.9 

llVi 

331.5 

333,5 

333,4 


86,4 

B 

86.5 

B9.3 
896 


i3 
■ 4 

i6 

i8 
'9 


14.0 

16. § 


•-4 
04 
o5 
o5 
o5 
06 
06 
q6 




7' 

i 


67 
68 
6y 
70 

73 
74 


i 

6 


35.4 
35 .8 
36.3 
16.5 
36.9 
37,3 

iii 


i3i 

33 

33 
34 
35 
36 
37 
38 

i 


[33:3 

136. 

IJ7.0 


'il 

48.4 
48-7 

r- 


191 

1 

99 


.78 

!^^ 
.8. 
.83 

iS3 
.83 

■ 84 
.85 
186 


i 

8 


ba,4 
6S.8 
69.3 
S,5 
69.9 

7.!3 
71.7 


53 
53 

56 


334,3 
335.3 

336 3 

337 ■ 
338.1 


9..,.. 
9.>,3 
90,7 

91.7 


33 

j4 

38 


:ti 

31.5 

11.4 

33.3 

Itl 

>6.i 

18 '0 


07 

08 
09 
09 
09 




Si 
83 
83 
84 
85 
86 
87 

S9 
9" 


75 
76 

78 

L' 
81 
83 
83 
84 


6 
6 
5 
4 
4 
3 


39.0 
39-4 

^:I 

3o.5 
3o.8 

3l.3 

3i.5 


[4i 
4a 
43 
44 
45 
46 

ii 
it 


.31.6 
.3>,6 
.33,5 
.34,4 
135.4 
i36.3 
.37,3 
.38.3 


50.5 

5.-6 
53.0 
5j.3 

III 

53.4 
53,8 


11 
04 
o5 
06 

09 


,89 
.90 
.91 
193 

III 


6 
6 
5 
5 
4 
3 
3 


73.0 
73,4 

il 

73,8 
74.3 
74,5 


361 
63 

63 
64 
65 
66 
67 

% 
70 


343,7 

344.6 
345.5 

346.5 
347.4 
348.3 
349,3 

35o.3 
35i.i 

353. r 


,15 

£2 

94.6 
95.0 

^5.3 
9:1,7 

z 

9G,B 


33 

33 

li 

36 
37 
38 


11:2 
3,., 

li.l 

34.5 
35 .S 
36.4 
37.3 


i3 
i3 
i4 

■ 4 


? 

6 
3 


9' 

1 

99 


85 
86 
87 
88 
89 
90 
9" 

S 


i 

8 

6 
6 

5 
4 
4 


33.6 
33.0 
33.3 
33.7 
34.0 
34.4 
34,8 
35.1 
35.5 
35,8 


i5, 

53 

53 
54 
55 
56 
57 
58 


i4i,o 

\U 

.43.8 

144.7 

■ 45,6 

i46,6 

■ 49-4 


54,. 
54,5 
54.8 
55.3 
55.5 
55.9 
56,3 
56,6 

in 


■ 4 
i5 
.6 

18 
'9 


■97 

■ 99 

3Q3 
304 

jo5 


9 

2 

i 

5 
5 

4 


76,7 

77-0 

78,5 
78,8 


73 
74 

75 
76 

22 


353.0 
353.9 

354.0 
355,8 
356.7 

ilu 

359.5 
366.5 
36 r. 4 


97.1 
97.^ 

97. ■■ 

99,6 
.o..!3 


4i 

43 

43 

1 

47 

4S 


r. 

4i.i 
4>.o 
43.9 
43.5 

44 i 
45.7 
46.7 


■ 5 

■ 5 
16 
iG 
■6 
17 
17 
'7 




04 

o5 
06 
07 
08 
09 


99 

99 


3 

i 


36.3 
36.6 
36.9 
37.3 
37.6 
38.0 
38.3 
38.7 

g:; 


■61 

63 

63 
64 
65 
66 
67 
68 
69 
70 


i5o.3 
i5..a 

.52.3 

.53.1 
1,54.0 
i55.o 
.55.9 
.56, fi 
.57,8 
.58.7 


IV. 

58.4 
58.8 

60.6 
60.9 


33 

34 
35 

36 
36 


306 

308 
309 

313 
314 


3 
3 

9 

2 


79.3 
79-6 
79-9 
B0.3 
8<,,6 
8,,o 
8,. 3 
81.7 

83,4 


36 1 

63 

83 

64 
85 
86 
67 
89 
9" 
391 

P 
$ 

96 
97 
98 
,99 
3i-o 


363,3 

363.3 
364.3 
365.1 
366.1 
367.0 
367,9 
368.9 
369.S 
370,7 


iO)!4 
1UI.8 

iojIs 

S:2 

iu3,6 


5» 
53 
54 
55 
56 


47. t> 
48.5 
49.5 

5i.3 

3.3 
3.3 

i:, 

56.0 


'9 

'9 
'9 




i3 
14 
.5 
16 

\l 
<9 


io4 
io5 
u6 

■ 09 


6 
5 
4 

1 


r. 

40.5 

4?'3 

41 ie 

1;:? 

41 .6 
43.0 


'i 

74 

z 


.59.6 
160.6 
i6i.5 
163,4 
163.4 
.64.3 
165. > 
166.3 
167.1 


61.3 
61.6 
63.0 

ti 

63.1 
63 .4 
63,8 
64,1 
64.5 


33 

33 
34 
35 
36 

fs 

39 
40 


3.5 

316 
317 
118 

319 

333 
3l4 


6 
5 
5 
4 
3 
3 


83,8 
83.1 
83,5 

g:f 

84.6 
84,? 
85,5 
85,6 
8fi,o 


3,3.5 
374.5 
375.4 
376.3 

377,3 

179.1 
380.. 


104,3 
u.4.6 
io5,o 
...54 
105.7 
.f«.i 
106.4 
io6£ 

I07!5 


Wtt 


.D3L. 


L>L 


IK,.. 


n.p. 


Lai. 


IK.I 


n.p. 


L«i. 


Di<I, Dep, 


L»i, 


Diti 


Dcp, 


I.BI. 



ny Google 



e»»m TABLE 11. 

Difference of Latitude and Departure for 32 Degrees. 


Dill. 


Lut. 


t>cp 


Dl.t. 


L.. 


Hep. 


OI>i 


La. 


D.P. 


Ditl 


Ui. 


riep. 


Di^i 


L.,, 


90.3 
90.7 
91X, 
■>•■', 

9,-8 


3 
4 

5 
6 

8 
9 


o3 
„4 
o5 
o6 
07 
..8 


9 

t 


o3 
o3 
o3 


4 
9 

e 

4 


6. 

61 
63 

d5 
66 
67 
68 
69 


57 
SB 

L' 

Gi 

61 
63 
64 
64 


5 

4 

3 

3 


"z.t 

i3,6 
14." 
i4.3 
34.7 
i5.t 
= 5.5 


'i 

j5 

jG 


ii3 

114 
ii5 
ii5 
.16 

[ifi 
119 




45 
45 

46 
46 
46 
47 
47 

48 
48 


7 

5 
8 

6 

? 


63 
83 

84 
85 
86 

u 

89 

9" 


.67 

.68 
.69 

iii 
176 



5 
5 

4 

3 


67.8 

68.3 
6B.G 

??:! 

69.7 
70.] 

7<a 

7(^.8 

7i.3 


341 
43 
43 

44 
45 
46 

47 

48 

£ 


334 !4 

335.3 
336.3 

338!l 
339.0 
3,9.9 


',3 
j4 
i5 
i6 


i3 
i3 
•4 
i5 
16 

rS 




04 
04 
04 
n5 
u5 
06 
06 
q6 
07 


5 
9 
6 

4 

7 

5 


ii 
74 
75 
76 


65 
66 
67 
68 
69 
70 
7' 

53 

74 


8 

6 
5 
5 
4 
3 


lb .6 

i8.5 
38.8 


i3i 
3i 

33 
34 
35 
30 

ll 
39 
4i) 


Ii3 

iM 
ia5 

136 

137 
]]8 




49 
49 

8 

5o 
5o 
5i 
5i 

53 

5a 


4 
8 

6 
4 


191 
93 

99 


178 
179 
lik. 

iBi 
183 
i83 
>S4 
iS5 


9 

2 

6 
5 


71.5 

73.B 

74-9 


35l 
53 

53 
54 
55 
56 
57 
58 


333.7 

333.7 
334.6 

335.5 
336-4 
137.4 
138.3 
339-3 
340.1 
341.. 


95.3 

56.6 
97.0 
97-1 


11 
14 
i5 

36 

i8 


19 

a3 
>6 

36 




3 

09 
09 
09 


9 
6 
4 

5 
9 


8] 
83 
84 

S5 
85 
87 
B8 
89 
9" 


78 

81 
83 

83 


I 

i 

5 

4 


3o.J 

?,:'. 

3i.5 
3i.8 
3j.a 
3a .6 
33.0 
33.3 
33.7 


i4i 

il 

44 
4S 

46 

1^ 
1' 


i3i 

■ 3] 

■ 33 

■ 34 
i35 

■ 36 
.37 
i33 
.39 




53 

53 
53 
53 
54 
54 
55 
55 
55 
56 


6 

! 

7 
4 

8 


o3 
04 
o5 
06 

"9 


.86 
187 
18S 
189 
.90 
I9< 
191 

■■ll 
"fi 

'^ 
■96 

:s 

199 

3d3 
304 


4 
3 

9 
t 
7 


76.U 
76.4 
76.B 

1 


361 
63 
63 
64 
65 
66 
67 
68 
69 
7" 


343.0 
341.9 
343.6 
344.8 
345.7 

347-6 
348.5 

'&i 


97.8 

99.6 

100^4 
100.8 


3i 
33 
34 
35 
36 
37 
38 


K 

3i 
3] 
33 

34 
3i 
36 
37 






4 

5 
9 
6 


91 

1 

96 
99 


85 
86 
87 

91 


4 

3 

, 
9 

1 

7 


34.5 
34.8 
35.1 
35.6 
36.0 
36.3 
36.7 
3t.J 
37.5 


5i 
53 
54 
55 
56 

U 


i4o 
i4o 
i4i 

143 
i44 
145 
t46 

:'i 




56 

?; 

58 
58 
58 

1 


b 

! 

7 

4 
8 

6 
9 


i3 

i4 
i5 
16 

'9 


6 
6 
5 
4 
3 
3 


79.0 
79-4 

1S.I 

80.5 
B0.0 
81,5 
8i.-r 
Bl.(. 
8=4 


7' 
73 

li 

76 

78 
79 


i5i.3 

353.1 

153.1 

354-0 
355.0 
355.9 
356.8 
357.8 
358.7 
359.6 


101.6 
io3.o 
103.4 
I03.8 
io4.i 
104.5 
ro4.9 


4> 
4i 
43 
44 
45 
46 

47 

48 

t 


38 

41 
43 
43 
44 
45 






4 

5 
9 
6 
4 


o3 
04 
o5 
06 

09 


99 


6 
6 
5 
4 
4 
3 


r, 

38.6 

li 

40.5 
40 .8 


ibi 
6j 
63 
64 
65 
66 
67 
68 
69 
7" 


i5i 
i5a 
i53 
i53 
i54 
.55 
i56 
■57 


I 
8 

I 


bo 
60 
Gi 
61 
6[ 
63 
63 
63 
63 
63 


7 

4 

6 

1 


33 

34 
i5 
36 

18 


304 
305 

]u6 

30S 

J09 

3l3 


2 

6 


B3.8 
83.3 
83.5 
83.9 
84.3 
84.7 
85.0 
85.4 
85.8 
86.3 


83 
83 
84 
85 
86 
87 
88 
89 
9" 


361.5 
361.4 
363.3 
164.3 

365.3 

366.1 
167.0 
368.0 
368.9 


io5.6 
106.0 
1064 
106.8 

[oBJ 
ioB,6 


5j 
53 
54 
55 
56 


47 
48 

5i 
5i 

5i 
53 
54 






5 
9 
6 

4 

7 
5 


i3 
i4 
i5 
16 

18 
'9 


IS 
104 

[o5 

ro6 

.09 


2 

8 

1 

6 
5 
4 
3 
3 


41^3 

43!i 
43.5 
43.8 
44. J 
44.6 
45.0 


171 

li 

76 
77 
78 


i58 

;S 

161 
163 

i63 

i64 
i65 

,66 
t6G 


9 


64 
65 
65 
65 
66 
66 


4 
8 

6 

? 

7 

4 


33 

33 
34 
35 
36 

u 

39 

40 


3l5 
3lG 

318 
319 


I 

7 

6 
5 


88.4 
88.8 

89.9 


39, 

94 
t 


369.8 
370.7 

%-l 

373.5 
374.4 


109.0 
109.4 
109.8 

Ilois 

1M.6 

ita-o 

1134 


Dill 


ne 




L... 


DLni 


D.p, 


1^1. 


Dill 


IHp. 


L... 


IN.I 


Dtp. 


Lbi. 


Di.1 


im. 


Lat. 


(For 08 DBgr««^ 1 



ny Google 



Om. 


Lai. 


i^ 


p. [>IS[. 


Lai. 


Dc 


t 


liiii. 


l.tti. 


}ts. 


■>;», 


LSI. 


De,.. 


Disi, 


Lai. 


Dep. 




r.:t 


i« 


4 61 


^oT 


23-fr 




ill. 4 


473 


18. 


.66.6 


70,7 


24 1 


221.8 


"^ 






8 €2 


57.1 


24 






112.3 


47 






167 


5 




42 


223.6 


94£ 


3 


01.8 




J 63 


58,11 


j4 


6 


23 


M3.2 


48 




83 


166 


5 


7il5 


43 


123.7 


m 


4 


o3.7 




6 64 


58. 9 
59.1 


25 




24 


114.1 




5 


84 


169 


4 


;;:! 


44 


224.6 


5 


o4.6 




65 


25 


4 


55 


iiS.i 




8 


85 




3 


45 


235.5 


95.7 


6 


o5.5 




3 66 


60. a 


1.5 


8 


26 


116.0 


49 




86 


'71 




71.7 


46 


216.4 


96.1 




o6.4 




7 67 


61.7 


26 






•.tt 


49 


6 


87 






73,1 


47 


127-4 


56,5 


8 


"7-4 


o3 


I 68 


62.6 


26 


6 


28 


5o 




88 


1 73 




73,5 


46 


118.3 


55:1 


9 


o8.3 


o3 


5 09 


63.5 






29 


118.7 


5o 


4 


89 


.74 




73,8 


49 


229,2 




^9:1 


o3 


9 71 


64.4 




4 


3n 


"9-7 


5o 


8 


9" 


174 


9 


74.1 


5o 


330.1 


97-7 






04 


3 7" 


-65:4 




7 


■ 3i 


120.6 


"sT 




.91 


"^5- 




74.6 


25 1 


i3..o 


98,1 






"4 


7 7a 


66.3 


26 




32 


111.5 


5. 


6 


92 


176 




75.0 


53 


232.0 


^.5 


.3 




o5 


r 73 


67.2 


38 


5 


33 


121.4 


5» 




93 


177 




754 


53 


333,0 

233.6 


98,9 


i4 


11.0 


o5 


5 74 


68.1 


28 


? 


34 


123.3 


5i 


4 


94 


178 


6 


75.8 


54 


99.1 


i5 


l3.H 


()5 


9 75 
5 76 


69.0 


29 


35 


124.3 


53 


7 


95 


179 


5 


76.3 


55 


234.7 


99,6 


■6 


■ 4.7 


06 


70.0 


59 




36 


135.2 


53 




96 


180 


4 


76.6 


56 


i35,6 






i5.6 


06 


6 77 


70.9 


3^ 




37 


126.1 


53 


5 


97 


181 


3 


77,0 


57 


236,6 


100,4 




16.6 




78 


71 .B 


3o 


5 


38 




53 


! 


98 




3 


77-4 


58 


137.5 


■ ou,8 


■9 


17.5 




4 79 




3o 


1 


39 




54 


99 


i83 




77-8 


59 


138.4 






■ 8-4 


"7 


8 8q 


73^6 


3i 


40 


.28:9 


54 


7 




.84 


1 


78.1 


6C 


'39-3 


to 1. 6 






■^ 


2 81 


74.6 


37 




>4i 


129.8 


"ST 






785" 




leT 


167 


340.3 






20:3 


08 


6 82 


75.5 


3i 




42 


136.7 


55 


5 




.85 


9 


fa 


63 


341.1 


.024 


i3 




09 


83 


7«.4 


32 


4 


43 


i3i.6 


55 


S 


o3 


1S6 


2 


63 




iui,6 


34 




09 


4 84 


77-3 


32 


8 


44 


i32.6 


56 


04 


187 


79-7 


64 


243!o 


.o3,2 


25 


23,0 


09 


8 85 


78.2 


33 




45 


133.5 


56 




o5 


1B8 


7 


80.1 


65 


343.9 


io3,5 


i6 


23.9 




2 86 


79.3 


33 


6 


46 


134.4 


57 




06 


189 


6 


80.5 


66 


244.9 


103,9 
104,3 




n:t 




5 87 




34 




47 


135.3 


57 




07 


190 


5 


a 


67 


245,6 


a8 




? ?? 


81 !o 


34 


4 


48 


i36.2 






oa 


191 


5 


68 


346.7 


104.7 


i9 


26.7 




8.-9 


34 


6 


49 


l37.3 


58 




09 


.93 




81,7 


69 


24-' .6 


K.5,1 


3o 


'7.6 


ir 


_7 _9o 


8j.8 


3^ 


a 


5o 


138.1 


58 






i2l 


3 


82,. 


7" 


346,5 


io5,5 


3i 






r 91 


83.8 


35" 


6" 


i5i 


139,0 


59 






.94 








349-5 




i] 


19,5 




5 92 


84.7 


35 


t 


52 


139.0 


59 






.^ 




81.8 


7» 


35S.4 


loeJ 


3i,4 




? S 


85.6 


36 


53 


.4u.S 


59 




i3 


.55 




83,1 


73 


35i.3 


.06,7 


34 


3i.3 


i3 


86.5 


36 




54 


■ 4t.8 


&. 




14 


'97 




83,6 


74 


253.2 




35 


3l.3 


i3 


7 95 


87.4 


37 




55 


■ 42.7 


6.1 


6 


i5 


'97 


2 


84,0 


75 


353.1 


107.5 


36 


33,1 


i4 


, 96 




37 




56 


■ 43.6 


6. 




.6 


198 


84.4 


76 


154.1 


107-8 


3? 


34.1 


i4 


5 97 


89^3 


37 


? 


57 


.44.5 


6. 


3 


17 


199 




84,8 




255. 


i<>e.2 


38 


35. c. 


t4 


8 ^ 


90.2 


33 


58 


145.4 


61 




18 






85,2 


78 


155.0 
i56.a 


108.6 


39 


35.9 
36i 


r5 


2 99 


91.1 


33 




59 


.46.4 


62 




'9 




6 


85,6 


79 


109,0 


4o 
4i 


,5 


6 1™ 


92.1 


39 


1 


6.. 


147-3 


6j 


5 




3C)3 


5 


86,u 


80 


157,7 


12L4 




,e 




93.0 


39 


T 


leT 


148.2 


6T 


1 




l73" 


"4" 


8M 


117 


.58.7 


109,8 


42 


38.7 


16 


4 03 


fa 


39 


9 


62 


'49-1 


63 






4 


86.7 


81 


259,6 




43 


39.6 


16 


a o3 


40 




63 


i5o.o 


63 




23 


205 


3 


87,1 


83 


36... S 


1.0^6 


44 


40.5 




2 o4 


95.7 




6 


64 


i5i.o 


64 






306 




87.5 


84 


36. .4 




45 


41.4 




6 o5 


96.7 


4i 




65 


[fd 


64 


s 


25 


307 




'd% 


85 


261.3 


...4 


48 


4a. 3 


18 


06 


97.6 


4i 


4 


66 


64 


S 


26 


208 




86 


263,3 




47 


43.3 


iS 


4 07 


^.5 


41 


8 


67 


153.7 


65 


37 


309 




88.7 


87 


364.3 




48 


44.2 


18 


B 06 


99,4 


4» 




68 


154.6 


65 


6 


,28 


3119 


t 


89.1 


88 


265,. 


112,5 


49 


45.1 


19 


1 09 


,Z.3 


42 


6 


69 


i55.6 


66 




39 




89,5 


89 






5o 


46. 


.'9. 


5 10 


iOi.3 


43 


u 




156.5 


66 


4 


3u 


211 


7 


89-9 


9" 


366:5 


ii3 J 


5i 


46-9 


19 


t ';.; 




43 


7 




157.4 


66" 


T 


Ih 




6 




291 


367.9 
16a. 8 


1.3.7 


52 


47.9 

48.6 




■ <.3.i 


43 


8 




i58,3 


67 




32 


3l3 


6 


^:& 




114.1 


53 




7 i3 


1114.0 


44 




73 


159. a 


67 


6 


33 


3l4 


5 


91,0 


93 


269.7 


1.4.5 


54 


49-7 




t r4 


1114.9 


44 


5 


74 


i6.>.i 






34 


2l5 


4 


9.-4 


94 


27.), 6 


;;a 


55 


5...6 




5 .5 




44 


S 


75 


161.1 


68 


4 


35 


216 


3 


91.8 


y5 


371,5 


56 


5i.5 




1 ;5 


45 


76 




68 


8 


36 






9i.3 


v> 


272.5 


.l5.7 


57 


55.5 






45 




77 


.63,0 
.63.8 


69 




37 






;,.6 


97 


273.4 


1 i6,i' 


58 


53.4 




7 18 


"1.1 


46 




78 


"9 


6 


38 


119 




;3.o 


98 


174.3 


1164 


59 


54.3 


i3 


1 19 


109. "■■ 


46 


5 


79 


164.8 


0? 




39 






9U 


99 


175.2 


..6,8 


6o 


55.2 


i3 


4 JO 


.in. 5 


46 


9 


Si. 


.65-7 




3 


40 




9 


938 


3>K> 


376.2 




Diil. 


I»2L 


\_ 


t. |lB>i 


IM>. 


''-■"■ 


i^ 


"T- 


[.HI. 


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IxTpT 


Ui, 


l>i>i 


D.p. 


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nui 


l.ai. 


D.p. 


DiU 


Lu. 


Dep. 


Disl 


Lai. 


Dep. 


Diu. 


L>1. 


Dep. 


««. 


LU. 


Def. 


3 
4 
5 
6 

2 

9 


a 

o6 
09 


1 

7 
6 
5 
4 
3 


o3 
(.3 
04 


4 

8 

6 

4 
S 

3 


6> 
63 
64 
65 
66 
67 
68 
69 


55.7 

56.6 
57.6 
58.5 
59.4 
66.3 
61.3 

63.1 

63. 
63-9 


34,8 

35.3 

i5.6 

36,0 
36.4 

36.8 
17.3 
37-7 
38.1 
38.5 


33 

34 

35 

36 
38 


1 1 1 .'5 
111.4 
ii3.3 
■ 14.3 

ri5.r 
116.0 
116.0 

M7.S 

iie.8 


50.4 
5o.e 

5. .3 

53.5 
53.9 


.81 

69 

83 

84 
85 
86 
S7 
88 
89 
9" 


.65.4 

166.3 

,6,0 


73.6 
74-0 
74-4 
74-8 
75.3 
75-7 
76,1 
76.5 


14 1 
4i 
43 
44 
45 
46 
47 

48 

& 


311.0 

llti 

336.6 
337.5 

338.4 


P.8 
99,1 

99-7 
loois 

i~:! 

10.. 7 


,3 

j4 
i5 
i6 

'9 


i3 
14 
i5 
16 


i 


04 
o4 
..5 
o5 
u6 
06 
06 

08 


b 

! 

5 


73 
74 

75 
76 

78 


64.9 
65.8 
66.7 
67,6 
68.5 

ti 

71.3 

73.3 

73. r 


,8.g 
39.3 

3o.5 
33.5 


33 

33 
34 
35 

36 
37 
38 

i 

Ml 
43 
43 
44 
45 
46 

a 
s 


131.5 

■Mi 

114.3 

.15.3 
136. i 

137.9 


53.7 

54.1 
54.5 
54-0 
55.3 
55.7 
56.1 
56,5 
56.9 


191 
93 

i 

99 


175.4 
176.3 
177.3 
178.1 

tt 

183.7 


SI 

78.5 

K 

80.S 


35l 
53 

53 
54 
55 
56 
57 
58 


33... 

333 .0 

333.0 
333.9 

334.5 
335.7 

336.6 
137.5 


I03!5 

103.7 
.04,, 
104.5 

.o5,8 


33 

37 
38 


'9 

33 

34 

35 

56 




<i8 
09 

"i 


5 
9 
4 

8 
6 

i 


83 

83 
84 
S5 
86 

89 
9" 


74.0 
74.9 

76.7 

78:6 
79.5 

ti 

83.3 


37.9 

33.4 
33.8 

35.0 

35.4 
35,8 

36.3 
36.6 


138.8 
139.7 
.30.6 
i3i.6 
133.5 
133.4 
i34.3 

137.0 

;S:l 
.39.6 

■40,7 

i4i.6 
143.5 
i43.4 
.44.3 
i45.3 
.46.3 


57.3 
57.8 
58.3 
58.6 

60.6 
6. .0 


o3 
o4 
o5 
06 

■>9 


.83.6 

.84.5 
.85.4 
186.4 
187.3 
188.3 
189.. 
.90.0 
190.0 

191 .S 


8., 8 
83,1 
83.6 
83.0 
bU 
83,8 
84-3 
84,6 
85,o 
854 


63 
63 
64 
65 

66 
67 
68 
69 
70 


338.4 
339.3 
140.3 
14.-3 

343.1 
343.0 
343.0 

U4.1 


106,1 
106,6 
107.0 

.074 

tob,fi; 
109.0 
109J 


3i 

33 

33 
34 

35 
36 
3? 
38 

i' 

4i 

43 

43 
44 
45 
46 

47 

48 

g 


39 
3o 

3r 

35 
33 

33 
34 
35 
36 




i3 
■ 3 
t3 
14 
i4 
i5 
.5 
i5 
16 


6 

4 
8 

6 

5 


9' 

1 

99 


83.1 
84.0 
85 .0 

85!8 
87.7 
68.6 
89.5 
90.4 
9>-4 


37.0 
37.4 

r, 

38.6 
39.0 

39.9 
4r..5 

40.7 


■ 5i 

53 

53 
54 
55 
56 
57 
58 


ti 

63.3 
63.6 
63.0 
63.5 
63.9 

64.3 

64.7 
65.1 


i3 
"4 
i5 
■ 6 
'7 
[8 
19 


.91.8 
.93.7 
.94.6 

196.4 
,97-3 
198.3 
.99.2 


85JJ 
86.3 
86.6 

i- 

•»5 


7» 
73 
74 

75 
76 

2 


351.3 

353.1 
353.1 
354.0 

i55.g 


ilo!6 

;;::? 
:;k 

..35 
..3.9 
..43 

11 5,5 

Wkt 
1.6.7 

117.1 

117.5 

..8.0 


U 

40 
4i 
43 
43 
43 
44 
45 


5 

9 

I 

7 


16 

18 
18 
'9 
'9 
'9 


5 
? 

5 

1 


o3 
o4 
05 
06 

oB 
09 


99.6 


4i.i 
4i.5 

tl 

43.7 
43.1 
43.5 
43.9 
44.3 
44.7 


161 

63 
63 

64 
65 
66 
67 
68 
69 


147-1 
148.0 
148.9 
149-8 
i5o.7 
■ 5i.6 
i53.6 
153.5 
i5!f.4 

i55-3 


65.5 
65.9 
66.5 
66.7 
67-1 
O7.S 

U^ 
68-7 
09.1 


33 

34 
35 

36 

38 


3o3.7 
3o4.6 
3o5,5 
306,5 
307,4 
3o8,3 
309,3 


90.7 

SSI 


38, 
81 
83 
84 
85 
86 
B7 
88 
89 


156.7 

361.3 
163.3 

363.1 

364. 
364.9 


55 

53 
54 
55 
56 

U 
1 


46 
47 
48 

5r 

53 

53 

53 
54 


i 


s3 

33 

34 
■>i 


6 

4 
8 

6 

4 


i3 
i4 
■ 5 

16 
17 
t8 
'9 


101.4 
103. 3 

ro3,» 
104.1 

loi.l 

ic«.o 
106.0 

1^.7 
.09.6 


45., 
45.6 
46.0 
40.4 
46.8 
47.3 

4B.4 
48.8 


74 
75 
76 

3 


.57.. 

il 

161.7 
.61.6 
.63.5 
.64.4 


6^.6 
70.0 

Tole 

7.'6 

73.0 
71.4 

Hi 


33, 
33 

33 
34 
35 
36 

u 

39 
40 


3. ..9 

:;;:? 

>i4,7 
3i5,6 
316,5 

3,9.3 


9J.0 
94.4 
94J1 
95.J 
95.6 

B 


391 

n 
93 
94 

$ 
3S 


i65.8 

366.8 
367-7 
368.6 

371.3 

374.1 


..8,4 

1.8.8 

130I4 

130,8 

l3l!6 

131.0 


l.m. 


!.»(. 


t)i>i. 


liefi. 


].>.. 


Dili. 


D«p. 


Lai. 


D\^. 


I..,..! L.1.I 


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DiU. 


Ut 


Dep. 


Dnl 


LaL 


Dfl,. 


DilL 


Lat 


Dq. 


Diit 


Lat. 


D*p. 


Di« 


L*l. 


Dep. 


3 
4 
5 
6 

8 
9 


o3!6 
o4.5 

o5,4 
o6.3 
07.3 
08. J 
09.1 


0; 
o3 
t.3 
o4 


4 
8 
3 

5 

4 
8 


63 
63 
64 
65 
66 
67 
68 
69 
70 


56.3 

57.1 

58.0 
58.9 

^■^ 
60.7 

6. .6 

6a. 5 

63.4 


36.3 

36.6 

37.0 
37.5 

lit 


33 

34 

a5 
36 

38 


It!:? 

111.5 

M3.4 

ii3.3 

116.0 


5. 

53 
59 
53 

53 
53 
54 
54 
54 


6 

4 
8 

5 

9 


18. 
83 
83 

84 
85 
66 

89 
90 


164 J) 
.64.9 

a 

167.7 
168.6 
.69.5 
170.4 
171.3 


77.8 
78.3 
78.6 


a4i 
43 

43 
44 
45 
46 

47 

48 


ai84 
3,9.3 

aa3!o 
"3.? 
334.6 
aa5.7 
aa6.6 


Joi.1 

z:i 

I03.5 
104.0 
.044 
104.B 
io5.a 
105.7 


i3 

i4 
i5 
i6 

\l 
>9 


IP 
.6.3 


□4 
o5 
o5 
o5 
06 
q6 
07 

d8 


6 
5 

8 
6 
5 


73 
74 

75 
76 

S2 


64.3 
65.3 
66.3 

l\ 

71^6 
73.5 


304 

tt 

IV.l 

33.5 
33.0 
33.4 
33.8 


3] 
33 

34 
35 
36 


118.7 

131.4 
13^.4 

133.3 

134.3 
135.1 
136.0 

136.9 


55 
55 
56 
56 
57 

ll 

58 
58 
59 


4 
8 

6 

5 

! 

7 


.9. 

i 
i 

96 

u 

99 


.7J-. 
.74.0 

1^ 

176.7 
177.6 

.;8.5 
'79.4 
1804 
181.3 


80.7 
81.1 
81.6 

8a.o 

Hi 

83.3 
83.7 
84.1 
84.5 


351 
53 

53 
54 
55 
56 
57 
58 


3584 

339.3 

330.1 
33l.l 

a33.o 
133.9 
333.6 
334.7 
335.6 


106.5 

J07!? 
107.8 
108.3 
108.6 
109.0 
109.5 
,09.9 


11 
14 
a5 

36 

i8 


19.0 

31. B 

34.5 
35.4 
36.3 


09 
09 


I 

1 

6 

4 
8 
3 


Hi 
83 
83 
84 
85 
86 

^ 
89 


73.4 
76.1 

i:i 

SI:? 

81.6 


35.5 
35.9 

36.1 
36.8 
37.3 


i4i 
i^ 
43 
44 
45 
46 


137.B 

138.7 

139.6 
.35.5 
.3.-4 
.33.3 
.33.3 
.34.1 
.35.0 
.35.9 


60 
60 
6. 
6. 

61 
63 
63 


b 
4 

! 

7 
5 
4 


o3 
04 
o5 
06 
07 
08 
09 


184.0 

;a 

.86.7 
.B7.6 

.88,5 
.89-4 
.90.3 


84-9 
854 
85.8 
86.3 
86.6 

IK 

87.0 
B8.3 
88.7 


63 
63 
64 
65 
66 

69 


336.5 

3^3 

340.3 
a4... 
343.0 
343.0 
343.6 
344.7 


1 10.3 
110.7 

Wii 

I!i4 
iia.8 
ii3.3 
113.7 
114.1 


3i 

33 
34 
35 
36 

U 
8 


38. 1 

39.0 

g:l 
I'd 

33.5 
34.4 
35.3 
36.3 


|3 
i3 
14 
i4 

i5 
>5 
16 
16 
,6 


5 
9 
4 
8 

6 

5 
9 


9' 

i 

99 


83.5 
83.4 
84.3 
85.3 

87.0 


38.0 

1:1 

4o.i 
40.6 
41.0 
41.4 
41.8 
43.3 


■ 5i 

53 
54 
55 
56 
57 
58 


136.9 

;S: 

i4i.4 
.43.3 
.43.3 
144.1 
J 45.0 


63 
64 
64 
65 
65 

66 
66 
67 
67 


8 

7 
5 

3 

8 
6 


i3 
14 
i5 
16 

18 
'9 


.91.3 

!^*o 

'93-9 

;|:l 
.96.7 

197.6 

'99-4 


89.3 
89.6 

904 
90.9 

91.5 
91.7 
93.1 


371 

?l 

74 

75 

7« 

78 
79 
Bo 


345.6 
346.5 
3474 
a48.3 

aSo.i 

35.. 

35a.o 
sSs.o 

353.S 


1145 

II5.0 
n54 
ii5.8 
116.3 
116.6 

117^5 

;;s:! 


4i 

43 

43 
44 
45 
46 

47 

48 


37.3 
38.1 

li 

41-7 
43.6 
43.5 
44.4 
45.3 


18 
18 
'9 
■9 
'9 


6 
4 
\ 

7 


o3 

06 

06 
09 


Hi 
93.3 

97.0 

99-7 


43.7 
43.. 
43.5 
44.0 
44.4 
44.8 
45.3 
45.6 
46.1 
46.5 


.6. 

63 

63 
64 
65 
66 
67 
68 
69 
70 


.45.9 
.46.1 
■47.7 
■48.6 
149.5 
.52.4 
.5.-4 
153.3 
.53.3 
.54.1 


68 
68 

69 

71 
71 
7> 


5 

I 

7 
6 
4 


33 

■34 

35 

36 

37 
38 

IS 


ao3;o 

303.0 

304.8 

305.7 
306.6 

Si 


93.4 

97 -a 


83 
83 

84 
85 
86 

II 

89 
9° 
391 

94 
3S 


354.7 
355.6 
356.5 

lUi 
S:; 

361.0 
361.9 
36a .g 


iao4 


6i 
5a 
53 
54 
55 
56 
5? 

i 


46., 

47-1 
48. 

tt 
5^.8 
5l.7 
5, .6 
53.5 
54.4 


33 

a3 
a4 

34 


6 

4 
8 

7 

5 

1 


i3 
14 
i5 
16 

le 
19 


100.6 
101.5 
10J.4 
io3.3 

io5!i 
106.0 
106.9 


46.0 

47.S 
47.8 
48.3 
48.6 

P 
Si 

50.7 


73 
73 

]i 

76 

SI 


1 55.0 

;^:i 

159.5 
160.4 
16.. 3 

.63.3 

i63.. 


73 
73 
74 
74 

li 

75 
76 


3 
7 
5 
4 

8 
6 


a3i 
3a 
33 

li 

36 

8 


3.3.0 

3.3.0 

314.S 
ai5.7 
116.6 
317.5 


97-6 
ioo'£ 

lOlU 


>63.7 
9646 
36S.5 
366.5 
367-4 

369:9 
370.1 
371.0 
371.9 


133.0 
1334 

ia3.S 
ia4.3 
"4.7 
ii5.i 
135.5 

;a 

136.8 


Uiit 


Dep. 


L... 


Dill. 


Dep. 


Lat 


Dill. 


Dep. 


Ui. 


Diot. 


Dep. 


LaL 


Dill 


Dep. 


Lai. 


[Fores D«greM. j 



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'»«•«] TABLE II. 

Difference of Latitude and Departure for 26 Degrees. 


Diit 


Lw. 


Dep. 


Din. 


LU. 


D.p. 


Dill. 


Lai. 


Dep, 


Dill. 


Lat. 


D.P. 


Din 


Lit. 


Dep. 


3 

4 
5 
6 

I 
9 

i3 

i4 
.5 

16 

i8 
'9 


04.5 
o5.4 
o6.3 

3:; 

i3.5 
i4.4 
i5.3 
i6.a 


t>3 
t>3 
o3 

o4 


4 

! 

8 
6 
5 


6. 
63 
63 

66 

S 

«9 


54.8 
55.7 
56,6 

r, 

Si 

61.1 

63.0 

63.9 


rf.7 

i;? 
=8.5 

.8., 
">■' 
r. 

3o.7 


33 

li 

36 

38 


109 

ii3 
ii4 
ii5 
■ i5 
116 


8 

6 

5 
3 

I 


53 
53 
54 
54 
55 
55 
56 
56 
57 


5 
8 

5 


181 

83 
84 
85 
86 

% 
89 
90 


163.6 
.64.5 
iU54 
166,3 
167.3 
168.1 
ifi9.o 

;g:2 


79-3 
79.8 
8o.a 

8. .5 
83.0 
83.4 


341 
43 
43 
44 
45 
46 

47 

48 

g 


317.5 
3.8.4 
=J9-3 

334.7 


.o5.6 
.06.1 

106.5 

1074 

108.7 
109.3 


o4 
o5 
o5 
ofi 
06 
"7 

o8 
o8 


3 

6 

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391 

1 

3S 


357^ 

'S^ 

366.5 
36U 
361.1 
a63.i 
364.0 
364.9 


1 36.6 

ill 
ip 

140.8 


Dep. 


Lat. 


Dl>( 


Dep. 


Lai. 


Diit 


D«p. 


LSI. 


Dill 


Dep. 


Lu. 


Di» 


Dep. 


Lai. 


[Tor 62 D«j[re*.. | 



ny Google 





































Dill. 


Lai. 


O.P. 


Dill. 


Lai. 


D»p. 


DiiL 


IM. 


Dep. 


Din. 


Lai. 


D^. 


aa. 


L>i. 


Dep. 


3 

i 

6 

I 
9 


"°-9 

04.4 
o5.i 
o6.i 

oS.7 


00 

o3 

04 
04 


5 
5 

J 
3 


bt 
61 
63 

64 
65 

66 

U 

69 


53.4 
54.3 
55.1 

56.0 
56.9 
57.7 

59.5 

66.3 
6.. 3 


3o.5 
3i.o 
3i.5 
33.0 
33.5 
33.0 
33.5 
33.9 


35 

36 

1? 


io5.8 
106.7 
107.6 
.08.5 
109.3 

iisis 
113.7 


58 

1 

60 
61 
61 
63 
63 
63 




iBi 
83 
83 
84 
85 
86 

^ 
89 


158.3 

;!■■ 

Uil? 
163.7 

163.6 
i644 
i65.3 
166.3 


B 
90.3 
90.7 

93.1 


341 
43 
43 
44 
45 
46 

% 


310.8 

IWi 

3.34 

314.3 

3.5.3 
3 16.0 
316.9 


116.8 

118.8 
.,9.3 
119.7 

[30-7 


i3 

M 
i5 
i6 

\l 
'9 


1..4 

i3!i 
i4.o 

i6.6 

.7.S 


o5 
06 
oG 

07 

3 

08 

09 
09 




73 
74 

i 

78 


63. 1 

63.0 
63.8 
64.7 
65.6 
66.5 

Hi 

6,,, 


34.4 
34.9 
35.3 
35.9 
36.4 
36.8 
37.3 
37.8 
38.3 
38.8 


33 

33 
34 
35 
36 
37 
38 

t 


115:4 
116.3 

1.9-fi 

13l!6 

.33.4 


63 
64 
64 
65 
65 
65 
66 
66 
67 
67 


5 


191 

n 

I 

99 

o3 
04 
o5 
06 

09 


167.. 
167.9 
168.8 
.69.7 
170.6 
171.4 
173.3 
173.3 
174.0 
174.9 


93.1 
93.6 


35l 
53 

53 
54 
55 
56 
57 
58 

& 


331 !3 

333.0 
334.8 
335.7 
336.5 
337 -i 


131.7 

133.6 

134.] 

134.6 

135.1 

135.6 

I36.I 


11 

34 


.B.4 

ai.9 

s3;6 
a4.5 
j5,4 

36.3 


i3 
i3 

14 
i4 




83 
83 

S^ 

86 
87 
SB 
89 
90 


,o.» 

,3.5 
74.3 

t\ 

77.0 
77.6 
76.7 


J9.3 

t 
tl 

41.7 

41.3 

43.7 

43.1 
43.6 


i4i 

43 
43 
44 
45 
46 
47 

48 

t 


134.3 

135.1 
|3(.3 


68 

1 




175.8 
176.7 

,79.3 

1B0.3 
181.0 
181.9 

.83.8 

183.7 


974 

101.3 
■01.S 


36] 
63 
63 
64 
65 
66 
67 
68 
69 
70 


338.3 

33?* 

333.6 

333.5 
3344 
335.3 
336.1 


137.0 

138.5 
139.0 
.394 
139.9 
i3o4 
i3o.9 


3a 

33 
34 
35 
36 

U 


III 

,8., 

Zl 

31.5 
33.4 
33.= 
34.. 
35.0 


i5 
iG 
16 

Is 

'9 




1 

IS 

99 


Si 

81.3 
63.3 

S3.i 
64. 
64.8 
85-7 
86.6 
87.5 


44.1 
44.6 
45.1 
45.6 
46. [ 
46.5 
47-0 

48.5 


ibi 

53 

53 
54 
55 
56 

1 


133,9 
i33.e 

i34.7 
(35.6 
136.4 
137.3 
i38.a 


73 
74 

1 

76 
77 




i3 

[i 

.6 

iS 

'9 


1B4.5 
185.4 
186.3 

•&l 
IS 

190.7 


103^8 

103.3 

103.7 

104.3 

104.7 

I05.J 
105.7 
io6.a 
.c«.7 


371 
73 
73 

li 

76 


3i7.0 

337.9 
338.8 
339.6 
340.5 
34M 
343.3 
343.1 
344.0 
344-9 


i3.4 
l3i,9 
i33.4 
i33.8 
,33,3 
i33.8 
134.3 

111! 
■35.7 


45 

43 
44 
45 
46 

47 

48 


37.6 

38.5 

4i.i 

1:? 


19 

i3 
34 




o3 
o4 
o5 

06 

09 


89:3 
90.1 

r.:i 

94.5 


p 

53.8 
53.3 


161 
63 
63 
64 
65 
66 

a 

«9 


i4o.B 
l4i.7 
143.6 
143.4 
144.3 
145.3 
146.1 
146.9 


78 
78 
79 

80 
Si 
81 
81 
83 




33 

34 

35 
36 

i 


.95/. 

S.1 


107.1 

:^:? 

108.6 
109.1 
109.6 

'Mi 
U1.5 


3B1 
83 
83 
84 
85 
86 

ll 
89 
90 


a45JJ 
346.6 
347-5 
3484 
3493 
a5o.i 

35l.O 
351.0 
353.6 

353.6 


136.1 

•Ml 

i38.7 

P 

i4o.i 
i4o.6 


5i 
53 
54 
55 
56 

S 


44.6 

45.5 

48.4 

%■'. 
1? 

5i.6 
53.5 


a4 
95 

35 

16 
36 

'7 

3! 
18 

=9 




■ 3 
i4 
■5 

16 

iS 
'9 


99-7 
100,6 

I01.5 
.03.3 
io3.3 

105! 


53.8 

54.3 
54.8 
55.3 
55.8 
56.3 

?,1 

57.7 
58.3 


171 

',1 

i 


i5i.3 

]53.3 

i53.i 
.53.9 
154.6 
155.7 
i56.6 
■ 57.4 


83 
83 
84 
Si 
85 
85 
86 
86 
87 




33l 
33 

33 
34 
35 
36 

U 


ii 

304.7 

3o5.5 
306.4 
307.3 
308.3 


11 3.0 

1.3.4 

VAi 


39! 

1 

3S 


354.5 
3554 
356.3 

3:; 
f,;l 

360.6 
361.5 
3634 


i4..i 

.41.6 
143.0 
i43.5 
i43/> 
143.5 
.44.0 
1445 
i45j> 
1454 


Dill. 


d™. 


Ul 


Di>t 


Dep. 


LM. 


Di.L 


D.p. 


Lu. 


»« 


D«p. 


Lai. 


DilL 


Dep. 


L>i. 


[Foi 01 DegMN. ] 



ny Google 



P«f«] TABLE U 


DUt. 


ut 


Dtp. 


Di«. 


LW. 


D^. 


Di- 


La.. 


Dep. 


DUl. 


Lai. 


Dep. 

-^.5- 

B 
94.0 


Di.. 


Lii. 


D.p. 


3 
4 
5 
6 

I 

9 


00-9 

o3!5 
04.3 
o5.i 
o6.i 

tl 

•8.7 


oiis 

o3.5 
o5.o 


61 
61 
63 
64 
65 
66 
67 
68 
69 
TO 


5i 
53 
54 
55 
56 
57 
58 
58 


8 
7 
6 
4 

3 

i 

6 


30.5 
3i.o 
3i.5 
33.0 
33.5 
33.0 
33.5 
34.0 
34.5 
35.0 


ss 
34 

35 

16 

V> 


104 
io5 
106 

13 

109 


8 

I 
4 
3 

9 
6 


60.5 
61.0 
61.5 
61.0 
61.5 
63, 
63.5 
64.0 
64.5 
65, r> 


83 
83 

S^ 

86 

89 


t56.8 
157.6 
i58.5 
.59,3 
160,1 
161,1 
161.9 
163.S 
163.7 
.64.5 


34. 

43 
43 
44 
45 
46 

g 


S2 

310.4 

3.1.3 

iisio 
3.3.9 

3l4.g 

3.5.6 

S16.5 


110,5 

133.0 

133.5 
ii4.o 
134.5 

135,0 


w 

'4 
i5 

la 

i6 
'9 


^:3 

11.3 

i5.6 

i6.5 

17.3 


(■5.S 
06.0 
06.5 
07.0 

08.5 
09.0 
09.5 


73 
74 
75 
76 
77 
78 

22 


63 
63 
64 
65 
65 
66 

n 
69 


4 
8 

I 

4 
3 


35.5 
36.0 
36.5 
37.0 
37.5 
38.0 
38.5 

i|:S 

40.0 


i3i 

33 

33 
34 
35 
36 
37 
38 

32 


.13 
ii4 
■ i5 
116 
116 

118 
119 


4 
3 

i 

6 
5 
4 


65.5 
66.0 
66.5 
67.0 
67.5 
6B.0 
68,5 

§1 

70.0 


191 

1 

99 


i65.4 
166.3 
1&7.1 
168.0 
.68.9 
169.7 

.73-3 
173.3 


97.0 

99.0 
99.5 


35. 
53 

53 
54 
55 
56 

u 


3.7.4 

3.8.3 
119,1 

,330.8 

333.6 
113.4 
114,3 
335.1 


.35.5 

(36.0 
136,5 

ii 

138.5 
139,0 
139,5 
i3o.o 


i3 

34 

16 


19.1 

33 is 

13.4 

34.3 
35.1 

36.0 


ii!5 

Ills 
i3.o 
i3.5 
14.0 


81 
81 
83 
84 
85 
86 

89 

9" 


70 
71 

73 
74 
75 
76 

77 


9 

5 
3 


40. 5 
4i.o 
4i.5 
43,0 
43.5 
43. 
43,5 
44.0 
44.5 
45.0 


i4i 
43 
43 
44 
45 
46 

47 

48 


ij3 

133 
134 
135 
136 

;3^ 

139 
139 


8 

7 
6 
4 
3 

9 


71 is 

7/5 
73,0 
73,5 

74,0 
74.5 
75,0 


o3 
04 
o5 
06 
07 
08 
09 


■ 74-1 

.74.9 

175.S 

176.7 

177-5 
.78.4 
179 J 
180-. 
181.0 
.81.9 


100.5 
loiis 

loSio 
.03.5 
.04.0 
104,5 
io5,o 


361 

63 
64 
65 
66 
67 

69 
70 


3 36,0 
336.9 
337.8 
338.6 
339.5 

330.4 

331.3 
333.1 

=33.0 
333-8 


i3o.5 
i3i.o 
.3i,S 

l33,o 

i3i.5 
i33.o 
i33.5 
134.0 
i34,5 
.35.0 


3i 
33 

34 
35 
36 
37 
38 


III 

3l.3 

III 

34.6 


i6!o 

16.5 

17-5 

E 


9' 

1 

99 


78 

Si 

83 

83 
84 
84 
85 
86 


5 
4 
3 

9 
6 


4i.5 
46.0 
46.5 

48.5 


lii 

53 

53 
54 
55 
56 
57 
58 


i3o 
i3i 

l33 

i33 
i34 
i35 
i36 
i36 


8 
6 
5 
4 

8 
6 


76.5 

77.0 

78,5 
80,0 




■ 83.7 

■ 83.6 
.84-5 
185.3 
.86.3 

a;i 

.89.7 

190.5 


.05.5 
106.0 
106.5 

107^ 
108.0 
108.5 
109,0 
■ 09,5 


371 
73 
73 
74 


334.7 

335.6 
3364 
337.3 

338.3 

Si 

34.. 6 
343.5 


135.5 
i36,o 
i36,5 

ili 

.38.5 


41 

43 

43 
44 
45 

46 
47 

48 

g 


J5.5 
36.4 
37.3 
38.1 

1; 

4i.6 
41.4 
43.3 


7l'.S 

33.0 

33.5 

j4.o 
34.5 
35.0 


o3 
o4 

o5 
06 

3 

09 


Si 

89 
9" 
9" 
9" 

i 


5 
3 

5 
4 
3 


5..0 

5i.5 
5i.o 
5a. 5 
53,0 
53.5 

lis 

55.0 


62 

63 
64 
65 
66 

69 


139 
i4o 
i4i 
143 
143 
143 
i44 
■45 
146 
147 


4 
3 

i 

6 
5 
4 


80,5 
81.0 
8i.5 
83.0 

83 !o 
83.5 
84. 
84.5 
85. 




•Si 

194.9 

195,7 
196.6 


mis 

1.3.5 
.14.0 
114,5 

ii5.o 


>8i 

83 

83 

84 
85 
86 
87 
88 
89 


3434 
344.3 
345.1 
146.0 
3^6.8 
347-7 
348.5 

ini 

35l.l 


140.5 
141.0 
141.5 
141,0 

i4=.5 
143.0 
143.5 

3! 


5j 
53 
54 
55 
56 
57 
58 

L' 


44-3 

45.0 
45.9 
46.6 
47.6 
48.5 

iti 

5i.i 
53.0 


35.5 

36.0 

36.5 

SI 

»8.o 

=8.5 


■3 

',i 

16 

-.1 

19 


96 

97 

99 

Io3 
io3 


9 

6 
5 
3 

9 


56.0 
56.5 

Ui 

58.0 
58.5 

60.0 


171 

73 
73 
74 
75 

22 


.48 
149 

;g 

iSi 

l53 

i53 
i54 
i55 
;55 


8 

I 
4 
3 

9 


85.5 
86.0 
86.5 
87.0 

tli 
1? 

90,0 


l3i 

33 

33 

u 

36 
37 
38 

1 


303,6 

3o3,5 

304.4 

305.» 

3r«.i 
307^8 


11 5.5 
1.6.0 
116,5 
117.0 
117,5 
118.0 
118.5 
119.0 
,.9.5 


391 

1 

3S 


353.0 
353.9 
353.7 

i54,6 
=55.5 
356.3 

a:; 


145,5 

i46j) 
146.5 
147-0 

•X 

148.5 
149.0 

i5o,o 


Dill. 


Dep. 


Lai. 


d™. 


Lai. 


Dbt. 


D.p. 


I,M, 


Pill 


Dep. 


I,.t. 


nil.. 




Lm. 


{r.ratDK>~^- 1 



ny Google 



TABLE II. [V'i'tt 


Diit 


UL 


D.P. 


Di.L 


Lat 


Dep. 


DIM. 


Lai. 


Dep. 


Di3(. 


Lai, 


Dep. 


Di.i. 


Lm. 


Dep. 


3 
4 

5 
6 

9 


o3 
o4 
o5 
o6 
oG 


9 

6 

4 

3 

9 
6 


o3 
o3 
od 
04 
o5 


5 
5 
6 
6 
6 

3 
8 
3 


61 
63 
64 
65 
66 

S 
69 


53 
54 
54 

55 
56 

57 
58 


3 
9 

I 

4 
3 


3i 

33 

33 
33 

34 
34 
35 
35 
36 


4 

5 
5 
5 


33 
34 
35 
36 

11 

13 


104.6 
105.4 
106.3 
107.1 
108.0 

Si 

MI, 4 


6a .8 
63.3 
63.9 
64.4 
64-9 
65.2 

661 
67.0 


181 
81 
83 
84 
85 

89 
90 


156.0 
156,9 
157.7 
.58.6 
i59_i 
.66.3 

lesio 
.62.9 


P.3 
95.8 
96.3 

97-3 
97.9 


341 
41 
43 

44 
4S 
46 

il 


io0.b 
107.4 
308.3 
309,1 

210.9 

11 lie 
113.4 
214.3 


134.1 
114.6 

135,2 

115,7 

136,3 

116.7 

iiSii 

118,8 

;gi 

.30.3 
i3o,8 
i3i.3 
.3 1, 8 
i3i.4 
132.9 
,33,S 
133.9 


i3 
j4 
i5 
i6 

i8 
'9 


09 

Is 

■4 
i5 
16 
■7 


4 
3 

9 

I 

i 
3 


06 
06 
07 

08 
09 
09 


7' 
74 

75 
76 


bo 
61 
62 
63 
64 
65 
66 
66 


9 

6 
4 
3 

9 
6 


36 

38 
38 

1 

4o 
41 


6 
6 
6 


i3i 

33 

33 
34 
35 
36 
37 
38 
39 
40 


1I4.0 
..4.9 

119.1 


67.5 
68.0 
68.5 
69.0 
fl 
70:6 
7116 


191 

i 

96 
97 

iS 


l64!6 
165.4 
166.3 

;S:; 

171.4 


98.4 
98.9 
99-4 
99.9 
100.4 

;H! 

[o3.o 


25r 

52 

53 
54 
55 
56 
57 
58 

g 


2l6]o 

3,6.9 
lisle 

133-9 


11 

U 

i8 

■12 


'9 

ao 

33 

=4 
a4 
a5 


9 

6 
4 

3 

9 

7 


11 
t3 
r4 


3 

8 
4 

? 
3 
? 


6: 

83 
84 
85 
86 

u 

89 

90 


70 

7' 
7a 

1 

77 


4 
3 

9 
6 

5 


4> 

42 
4a 
43 
43 
44 
44 
45 
45 
46 


7 

i 

s 
3 

8 
3 
8 

4 


i4i 
41 
43 

46 
47 
48 

^5^ 


.30.9 

1 13. 6 

ii3.4 
134.3 

'Si 

137.7 

138.6 


;J:3 

1 


o3 
04 
o5 
06 

3S 

09 


173:1 
174.0 

178^3 


104.0 
104.6 
loS.i 
io5,6 
106,1 
106,6 


361 
61 
63 
64 
65 
66 
67 
68 
69 


223.7 
114.6 

335,4 

336,3 

338!o 
338.9 
119.7 

33o,6 

331,4 


134-4 

■MS 

I36.0 
i36-5 
137,0 

\Ui 

138-5 
,39.1 


3i 
3i 
33 
34 
35 
36 
37 
38 
39 
4o 


16 
j8 

II 

3o 
3i 

3a 
33 
34 


4 
3 

9 

6 
4 
3 


16 

rB 

■9 
19 


c 


9' 

9<! 
99 


78 
78 

8[ 

83 
84 
84 
85 


9 

I 

4 
3 

9 

7 


47 
47 

48 

5o 
5i 


3 

9 

I 

5 
5 


5s 
53 
54 
55 
56 
57 
58 


129-4 
i3o.3 
i3i.i 

133.0 

;M:; 

134.6 
i35.4 
i36,3 
137.1 


78. 3 
?3:? 

80,9 
81.4 


i3 

i5 
16 

18 
'9 

i 

35 
36 

38 

13 


iBile 
183.4 

,84.3 
185.1 
186.0 
186.9 

191.1 
191.0 
193.9 

,36.J 

197.1 


108,7 
109,3 
109,7 

mis 
112 3 
112,6 
113.3 
7731 
ii4.a 

•;.n 

;:l3 

116.9 

1 17-4 

I'M 


73 
74 

75 
76 

78 

11 


233.3 

233-1 
134.0 
134-9 
235-? 
i36,6 
237.4 
3 38,3 

S3:; 


.39-6 
140.1 
i4o,6 
i4i.i 
,41.6 

l4l,2 

,41-7 

143,1 
143,7 
144,2 


41 
4j 
43 
44 
45 
46 


35 
36 
36 
3? 
38 

4i 
4ii 
4i 


9 
3 
9 


3t 

i3 

53 

a4 
14 
55 

25 




o3 
o4 
o5 
06 

oB 
09 


u 

89 

90 
90 

9' 

s 


b 
4 
3 

9 
I 
4 
3 


5a 

53 

53 
53 
54 
54 
55 
55 
56 
56 


5 
6 
6 
6 
7 


I6i 
63 

64 
65 
66 
67 
68 
69 


i3B.o 
138.9 

',IU 

i4[.4 
141.3 
.43.1 
144.0 


S:3 

84.0 

84.5 
85.0 
85,5 
86.0 
8t).5 
87. 
87. 6 


81 
83 
64 
85 
66 
87 
88 
89 
90 


140,9 

243!e 
143,4 

144-3 
24s,. 

iS; 

148-6 


144.7 
I45.J 
145-8 
■46.3 
146.8 
.47.3 
,47.8 
148.3 
148.8 
149.4 


Si 
53 
34 
55 
56 
5? 
58 


44 
45 
46 
47 

48 
48 

& 

5i 


5 

4 
3 

9 

6 
4 


30 

a6 

i3 
18 
39 

^^ 
3o 


9 


I3 
i4 
i5 
16 

;s 

'9 


i 

96 
99 


9 
6 
4 
3 

9 


57 
57 
58 
58 

1 

60 
61 
61 


7 

3 
8 
3 
8 


171 

73 
74 
75 
76 


i46,6 

'Xi 

153.6 
.53.4 
i54.3 


SB. 6 
89. 1 
85-6 
90.1 
90.6 

gi.i 
91.7 
91.1 


iJi 

32 

33 
34 
35 
36 
37 
3B 
39 
40 


1,8.0 
i9».9 

;33:2 

aoi.4 
105.3 
503.1 
ao4.0 
.04.9 
105.7 


12l!5 

12l!6 
I23.I 

133.6 


191 

31 
1 

96 

33 
333 


25^,3 

35l.2 

i5i-i, 

253-9 

153,5 
254,6 
255,4 

356,3 
357,1 


;&! 

153.0 

i53.5 

IS; 


nop. 


Lai, 


Dep. 


L«. 


Disi, 


Dep. 


Lat. 


Disl 


D.p. 


Lai. 


DLst 


Dep. 


LU. 


[For 59 Degraei. j 



ny Google 



rw« 






TABLE n. 






Dial 


Lri. 


Dep. 


Dill 


Lm. 


Dep. 


Dill 


LW. 


D«p. 


Dili 


L»t. 


D,p. 


DiiL 


Lai. 


Dep. 


3 

4 

5 
6 

S 
9 


o3 
o4 
o5 
o5 
06 
07 
o8 


8 

5 
4 

i 

6 
5 


o3 
o3 
o4 
o4 
o5 


i, 
6 
C 

8 
3 


0< 
63 
63 
64 
65 
66 

S 
69 


5i'6 
53.4 
54.3 
55.1 
56.0 
56.8 

Ui 

59.4 


33.3 
33.9 
34.4 
35.0 
35.5 
36.0 
36.6 
37.. 


33 

34 

=5 

36 


io3 
104 
,05 
106 
106 
107 
108 
109 



5 
3 

9 

6 
4 


64 
64 
65 
65 
66 
66 
fr? 
67 
68 
68 


9 


i8i 
8j 
83 
84 
85 
86 

89 

90 


.54.3 

.55.3 
.56.0 
■56^ 
157.7 
158.6 
.59-1 
160.3 
161.. 


100.7 


43 
43 

46 
47 
48 


3044 

3o5,J 

s 

3oe.6 

111,3 


,38"l 

118.8 

.39.3 

.39.8 
.30.4 
.30.9 

i3.J 
.31,9 

.33,5 


i3 

Is 

'9 


OS 

i3 
i4 
i5 
i6 


i 
9 

4 
3 


o6 
o6 

o? 

ofi 

09 
09 


4 

J 
? 

5 
6 


i 

74 
75 
76 


61.1 
61.9 

63.1 

63.6 
64.5 
66.3 
66,. 
67.0 
67.8 


SI 
1- 

40.3 
40.8 
41.3 
4.. 9 

43.4 


i3i 

33 

33 
34 
35 
36 
37 
38 

t 


m3 
114 
>i5 

116 

iii 


% 

6 
5 
3 

9 


70 
7. 
7' 

73 
73 
74 




19. 

i 

99 


.b3.o 
163.8 
■63.7 
.64.5 
.654 
166.1 
167.. 
167,9 
168,8 
169,6 


I03.8 

.o3.3 
1^*4 

is! 


35l 
53 

53 

56 
57 
58 
59 
60 


3.4,6 
3.5.4 
116.3 

3.7.1 

V,li 
V£ 

131.3 

1133!o 
113.9 
314,7 
335.6 

338.1 
339.0 


i33.5 
.34,. 

■34,6 
i35.i 
.35,7 
i36,i 

.36.7 

•s,-i 

138.8 
.3,4 

'S;i 

,4i,o 
.41.5 

143,0 
.43.5 
,43,1 


i3 

36 

i8 

1? 


i8 
'9 

33 
34 
35 


IS 

5 
4 

9 
6 
4 


I3 

i3 
i4 

]i 

i5 


7 

8 
3 

8 
4 

9 


83 

83 
84 
65 
86 

U 
89 


68.7 

7a. I 

74.6 
75.5 
76.3 


43.9 
43.5 
44.0 
44.5 
45.0 
45.6 
46.1 
45.6 
47-a 
47-7 


141 
43 
43 
44 
45 
46 

% 


119 

ii3 

133 

114 

135 
136 

137 


6 
4 
3 

8 

5 
4 


74 

75 
75 
76 
76 

78 
79 

80 

8i 
81 
83 

S3 
83 


5 


o3 
o4 
o5 
06 

08 
09 


170,5 
17..3 

iii 

i7e-i 


106.5 
107.0 
.07.6 
.08.. 
.08.6 
.09,3 
.09,7 

Jloia 
11. ,3 


3bl 
61 

63 
64 

65 
66 
67 
68 
69 
70 


3j 

33 
34 
3S 
36 

39 
4c 


3b 

11 
11 

3i 

33 

33 
33 


J 
8 

1 

4 

9 


'7 
18 
.8 
19 
>9 


4 

5 
5 
6 


9' 

99 


78.9 

79'7 
80,6 

i;i 

83.1 
84.0 
84.8 


48.8 
49.3 

^5^1 

53.0 


53 

53 
54 
55 
56 

u 


13B 

.38 

;l' 

i3i 

l33 

|33 
i34 
l34 
i35 


I 
6 
4 
3 

8 

7 


i3 

14 
i5 

16 

18 
■9 


178,0 
179,6 
180,6 

18..5 
.83.3 
.83.3 
.84.0 
.84.9 
.85!? 
.86,6 


11. ,s 

1.3.3 

.1S.0 

115.5 
116.1 
.16-6 


73 


339i) 

33i,4 
333.1 
334,1 

'Ml 

136.6 
137.5 


,43,6 
i44,i 
144,7 
.45.1 
i45,T 
i46i 
.46,8 
.47,3 
■47.B 
148.4 


4i 

44 
45 
46 
47 
48 

§ 


34 
35 
36 
37 
38 

1 

4i 

43 


5 
3 

9 

6 
4 


33 

33 

34 
34 

35 

36 

36 


3 

3 
8 

4 
9 

5 


o3 
04 
o5 
06 

09 


86.5 
87.3 

89:0 
B9-9 
90.7 
9. .6 
93.4 
^3.3 


54.1 

^. 

55.6 

56.3 
56.7 
57,3 
57.8 
58.3 


63 

63 
64 
65 
66 
67 
68 
69 


i3b 

;| 

i4o 
[4i 
i4i 
i43 
i44 


5 
4 

I 
6 
5 
3 


85 
85 
86 
86 
87 

88 

% 

90 




33 
36 

12 


,87,4 
188.3 
.89.. 
.90.0 
190,8 


:;i:5 

.loS 
.3.4 

131,9 


83 
83 
84 
85 
86 

% 
89 

9" 


3^0 
34o!8 
141.7 
»43.5 
343.4 
344.1 
145.1 
345,9 


.48.9 

\r. 

.5o.5 
t5t,o 
1S1.6 
i5i.i 
i53,6 
.53.1 
.53.7 


5i 
S3 
54 
55 
56 

U 


44 
44 
45 
46 

% 

5o 


J 

1 

6 
5 
3 

9 


38 
38 
39 

3o 
3. 

3i 


6 
6 

I 

8 


i3 
i4 
i5 
r6 

iB 
'9 


94.1 
95.0 
95.8 
96.7 
97.5 
98.4 
99.3 


59:4 
59.9 
60.4 

61 ;? 
63,0 

6:.. 5 
63.1 
63,6 


17' 

73 
74 
75 
76 

3 


i4!> 
145 
146 

\'A 

;g 

i5i 
i5i 

.53 


I 

4 
3 

i 
6 


90 
91 
91 
93 

t 


\ 
8 
3 

I 


3= 

33 
34 
35 
36 
37 
38 

t 


% 

^99-3 

30ll8 


,13,4 

IU:I 

,34.0 
,34,5 

.35,. 

135,6 
ii5.i 
116.7 
117.3 


39, 

1 
1 

90 

3S 


34b.B 

If 
1? 

353.S 
354-i 


,54.3 
154.7 
.55,3 
,55,8 
i56.3 
i56,9 
.57.4 

ill 


Dep. 


L>L 


Dill 


D.p. 


Lm. 


Dill. 


D.P. 


u,. 


DiiL 


0.^. 


Lit. 


Dill 


Dep. 


L>i. 






































^ 



ny Google 



TABLE II. !'■'*'« 
INffereiice of L&titude and Departure for 33 Degrees. 


Ui.i 


Lu. 


Ocp. 


Dill 


LU. 


D.P. 


DiiL 


Uu 


Dep. 


DUl. 


Ldi. 


Dep, 


DUI 


LU. 


Dop. 


3 
i 
5 
6 
7 
B 
9 


H;5 

o3.4 
o4.J 
o5.o 

D8.4 


o3 
o3 
04 


6 

3 

e 

4 

9 
4 


63 
63 
64 
65 
66 
67 
68 
69 
70 


5s. 
5a. 8 
S3. 7 
54.5 
55.4 
56.3 
57.0 

S:? 


33.1 
33.8 
34.3 
34.9 
35.3 

S:! 


33 

34 
a5 
36 

37 

38 


in3 
.04 
io4 
io5 
106 

13 

109 


5 
3 

8 

5 
3 


66 
67 

S 

66 

1? 
69 

70 


I 

5 

e 
3 


83 
83 
84 
85 
86 

U 
89 

9» 


i53.6 
i53.5 
i54.3 
,55.3 
i56.o 
156.8 
■ 57.7 
i58.5 
.59.3 


98.6 
99.1 
99-7 
ioo!6 

101 !8 
103.4 


34, 
43 
43 

44 
45 
46 

47 

48 

it 


303!o 

3o3,8 
304,6 
3o5,5 
306.3 
307.3 
308.0 
308.8 
309.7 


■ 31.8 

i3a,3 

l33,9 

1334 
,34.0 
.34.5 

■ 35.1 
i35,6 
i36.a 


i3 

i5 
i6 

17 
iS 
■9 


09.1 

ii'.G 
i3.4 


06 

08 
09 
09 


5 
6 

3 

e 
3 
9 


7' 
73 
73 

i 


S9.5 

63.1 
63.9 
63.7 
64.6 
65.4 
66.3 
67.1 


38., 

|J 

40.3 
40.8 
41.4 

ti 

43.0 
43.6 


i3i 

33 

33 

34 
35 
36 

11 
39 
40 


109 

ii3 
114 

114 
ii5 
iiO 


9 

I 
4 

9 
6 
4 


71 
7' 

i 

74 

i 


3 
9 

4 

5 
6 


191 

1 

99 


i6,ji 
161.9 
163.7 
,63.5 

.64.4 
i55-3 
,66.1 
,66,9 
167.7 


io4!6 
[o5.i 

Io6,3 
106.7 
.07.3 
[07,6 
108,4 


lit 

53 

53 
54 
55 
56 
57 
58 

1 


311.3 

3,3]o 

3,3.9 
3,6,4 

IX 


II 

i38.3 

140.0 
,40.5 
i4i.i 
,41.6 


i3 


t9.3 

11.6 
13.5 
34.3 
16.1 


i3 
14 
14 
i5 
i5 
.6 


4 
5 
6 

8 
3 


83 

83 
84 
85 
80 
87 
68 
89 
90 


67. Q 

68.6 
69.6 

?.i 

73:0 
73.8 
74.6 
75.5 


44.1 

r, 

45.7 

46.3 
46.8 
47-4 
47.9 
48.5 
49.0 


i4i 
43 
43 
44 
45 
46 

ii 


m8 
119 
119 

13:] 
"4 
ii5 

135 


3 

i 

6 
4 
3 

8 


77 

79 

22 

60 
61 
81 


3 

3 

5 
6 


o3 
04 
05 
06 

08 
09 


■ 68.6 

170.3 
171.1 

.73.6 
l^44 
.75.3 
176.1 


109.5 

110,6 
111,7 

113I3 
,,3,8 
1,4,4 


30, 
63 

63 

64 
65 
66 

1 
69 


.18., 
'.Si 

33,4 

333!, 
333.9 
334,6 

335.6 

336,4 


14317 
143.3 
■43.8 
■44,3 
144,9 
.45j 
1460 
145,5 
147.1 


3i 

33 
34 
35 
36 

39 


»6.8 

3i.o 
33.5 


16 
17 
18 
18 
'9 
'9 


I 

5 
6 

8 


9' 

96 
99 


76.3 
77-3 

;S:S 

8. .4 
81.3 
83. 
83.9 


r. 

50.7 

5l.3 

5i.7 
53.3 
53.8 
53.4 
53.0 
54.5 


.5. 
53 
53 
54 
55 

56 

u 


138 

139 
i3o 
l3o 
i3i 

1 33 

1 33 
i34 


5 
3 

8 

I 
3 


63 

83 
83 
83 
84 
85 
85 
86 
86 
87 


3 

J 

5 
6 


i3 
i4 
i5 
16 

18 
'9 

33 

34 

35 

36 
36 


1770 

\Si 

181.3 

,83.0 
183.8 

,83.7 
,84.5 


1,6.0 

ii6£ 

IIS 

1 18.3 

1,8,7 

,30,4 

I33!5 

ii3.i 
133,6 

>34.3 

"ii 


73 
74 

?8' 
It 

83 

83 
84 
85 
86 
87 
88 
89 
9° 


336,, 

339:8 
336.6 

331.5 

,a33.3 

333.3 

334.0 
334,8 
1357 
336,5 
337,3 

338.3 

SK 

340.7 
341.5 
3434 
343,3 


147.6 
148.1 
,48-7 
149-3 

;g:§ 

,53.0 

i53,5 

,53.6 
iS4.l 
154-7 
i55,» 
,55.8 
,56.3 
156.9 
,57.3 

,58.5 
1 59* 

'!« 
,60.1 

160.7 

161 .3 
161.8 

.63.3 

161.8 
1&34 


4i 

43 

44 
45 

4? 
48 


35. a 
36.1 

S:? 

38.6 
39.4 
40.3 
4>.i 

41.9 


i3 
34 
34 
a5 
35 

36 

36 


J 

I 

5 

6 


o3 
04 
o5 
06 

08 
09 


84.7 
85.5 
86.4 

i",:? 
00.6 
9.. J 

,..3 


55.0 
55.6 
56.1 
56.6 

i;i 

58.8 


61 

63 
64 
65 
66 
67 
68 
69 


■ 35 
i36 

■ 37 
1 36 

\t 

t4a 
>4[ 
143 


9 

5 
4 

9 

I 


87 
86 
88 
69 
69 
90 
9" 
9' 
93 
93 


8 
3 

I 

5 
6 


186.3 
,87-0 
187.9 

\?,} 

.9<..4 
191.1 

193.9 


54 
55 
56 

58 


4^,8 
43.6 
44.4 
45,3 
45.1 

r. 

48.6 
49.5 
50.3 


38 

98 

Z 

3o 
3i 
3i 

33 

3j 


8 
3 

3 

5 
6 


'<3 
14 
i5 
16 

;s 

'9 


93., 
9«.> 


60.5 
61.0 
61.5 
6^.1 
63,6 
63.3 
63.7 
64.3 
64.8 
65.4 


7' 
73 

li 

76 
78 

z 


143 
144 
.45 
145 
146 
'47 
,48 

;g 

i5i 


4 
3 

I 

6 
4 
3 


8 


7 
3 

2 
! 


33l 
33 

33 
34 
35 
36 

IS 

39 
4o 


193.7 
194.6 

196.3 
,97.1 

■99'6 

30l!3 


135,8 

1364 

u6,9 

■37-4 

,38.0 
,38,5 
,39.. 
139,6 

l30,3 

,3o,7 


39, 

1 
3S 


344.9 
345,7 
346.6 

347-4 

348,3 

ili 

35,, 6 


Uiit- 


D.p. 


I.* 


L 


Di... 




l,mt 


Dim 




I.KI. 


KM 


D.p. 


Lu. 


Di«t 


U^, 


1^ 


[For 57 De(po«* 



ny Google 



ph»so] table U. 

Difierence of Latitude and Departure for 34 Degrees. 


DiiL 


Ui. 


D^. 


Diit 


Lu. 


Dep. 


Dill, 


Lai. 


Dfp. 


Dist. 


Lai. 


D,p. 


Dill. 


Lu. 


D.p, 


\ 
3 
4 
S 

6 

S 

9 


00.8 

o3.3 
o4.i 

o5.o 
o5.B 
o6.6 
07.5 
oS.3 


o3 
o3 
a4 
o5 
05 


6 


61 

Gi 
63 
64 
65 
66 

69 

70 


50.6 

^;:^ 

53.1 

1:? 

55.5 
56. 


34 
34 
35 
35 
36 
36 

is 

38 
39 


7 

8 
3 

? 

6 


33 

34 
i5 
16 
17 
18 


.o3 
104 
loS 
106 

loe 
107 


8 
6 
5 
3 


b7 

68 
69 
69 


8 
3 

I 

6 


83 
83 

84 

85 
86 
87 

89 


i5o.i 
.50.9 

]l^ 
.53.4 
,54.3 
i55.o 
155.9 
t56.7 
.57.5 


10J.3 

ii! 

104:6 

io5,i 
105,7 
106.1 


341 

4i 
43 
44 
45 
46 

53 

56 
57 
58 


199.B 
3 00.6 
10,, 5 
103,3 
io3,, 

io4:s 

3o5,6 

3<*,4 

107,3 
108.1 
106.9 

3lU 


:34,6 
i35,3 

;S 

i38.i 

143.0 
143.6 
143.1 
,43.7 
.44.3 
144.8 
,45,4 


i3 
14 
i5 
>6 

\l 
>9 


09.1 
^■g 
ii!6 
■ 1.4 
[3.3 
i4.i 
14.9 
,5.6 
16.6 


06 
06 

09 




i 
;^ 

76 
77 
78 


6^.5 

ei.3 

63.3 
63,0 
63.8 
64.7 
65,5 
66.3 


39 
4o 
40 
4f 
4i 
41 
43 
43 
44 
44 


3 
8 

4 

t 
6 


i3i 
3i 

33 
34 
35 
36 
37 
38 
39 
40 


.08 
109 

ii3 
114 
ii5 
116 


6 
4 
3 

9 

6 
4 


7.* 
73 
74 

76 
77 

77 
78 


J 
8 

4 

t 

6 


191 
99 


159:1 
i6a.o 
160.8 
.61.7 
■63.5 
i63,3 
.64.1 
i65.o 
■65,8 


106.8 
107,4 

,09,0 

>ii:3 
111.8 


i3 

U 

38 


19. 1 
19.9 

ji!6 
11.4 
i3.i 

14.0 

=4.9 


I3 

i4 
■4 

i5 
i5 
ifi 
.6 




Si 
Si 
83 
84 
65 
86 

II 
89 
90 


68.8 
69.6 

li 

74.6 


45 
45 
46 
47 
47 

48 
48 

1 


I 

5 

6 

8 
3 


Ml 
41 
43 
44 
45 
46 

ii 


iiS 
119 

133 
■34 


9 

6 
4 

9 

5 


7» 

80 
81 
81 

83 
83 


4 
5 
6 

3 
9 


o3 
04 
o5 
06 

S 

09 


i(i(i.6 

;69.; 

17 1.6 
171-4 
.73.3 
174.1 


111,4 
11 3.0 

n3.5 
114.1 
ii4.6 

11 5.3 

115.8 
116.3 

,16,9 
117.4 


Gi 
63 
64 
65 
66 

% 
69 


3lM 

iiM 

333.0 
ii3,8 


145.9 

146.5 
147,1 
147.6 
i48,3 
.48,7 
.49-3 

:i':2 

i5,.o 


3i 
33 

34 
35 

36 


ivi 

»9.o 

3i.5 

31.3 
33.1 


t7 

■9 

'9 




9" 

i 

96 

99 


77.1 

81.1 
63.1 
81 .q 


51 
51 
53 
53 
54 
54 
55 
55 


I 

6 

8 
4 
9 


,5. 
53 
53 
54 
55 

56 


116 

136 
138 

i3i 
i3i 

l33 


8 

5 
3 

8 
6 


84 

85 
86 
86 

89 


4 
6 

4 

? 


[3 

i4 
i5 
16 

;5 

19 


174.9 
,75.fi 
176.6 

l79-> 

181,6 
1814 


118:5 
119,1 
119.7 

,jo:8 
111.3 

;.■::! 

■ 23,0 


371 

73 
74 

77 
78 

It 


114,7 
135.5 
336.3 

138:0 
318.8 
119,6 
i3o,5 
331.3 
333,1 


i53:, 

153.7 

1 53.1 
,53.8 
154.3 

•Mi 

i56..> 
i56,6 


4i 

42 

43 
44 
45 
46 

47 

48 

t 


35.6 

36.5 

IS;S 

40.6 

41.5 


i3 

34 

14 
i5 
iS 
36 

36 




o3 
04 
o5 
06 
07 
08 
09 


83.7 
84.6 
85.4 

86.3 

87.0 
87,9 
88.7 
89.5 
90-4 


56 

57 
5? 
58 
58 
59 
59 
60 
61 
6] 


5 
6 

i 

8 
4 

5 


16. 
61 
63 
64 
65 
66 

S 

69 


i34 
|35 
i36 
i36 
,37 

i3a 

\'Z 

i4o 


3 

6 
4 
3 

9 


90 
90 
9' 
91 
93 

11 
S 

95 


6 

3 
4 
? 


j3 
'4 
i5 
16 

11 


184:0 

166,5 
.87.4 
168.1 
189.0 
189.6 


133.6 
134,1 
134,7 
■ i5,3 
135,8 
116.4 

;S? 

138. 1 

118.6 


81 
83 
84 
65 
86 

89 
_^ 

191 
93 

t 

3S 


33J,o 
1,33.8 
334.6 
135,4 
336.3 
337.1 
137,9 
138.6 


■ 58,3 
i58,e 
.59,4- 

;i':? 

i6i,o 
161.6 

■ 63.3 


. 5a 
53 

IS 


4».3 

43.1 
43.9 
44.8 
45.6 
46.4 
47.3 
4S.I 
48-9 
49.7 


.8 
=9 
11 

3o 
3i 
3t 
3i 
33 
33 


5 
6 


i3 
i4 
i5 
16 

Is 

'9 


93.0 
93.9 
93.7 
?4,5 

96.3 

^ 

9«-5 


61 
61 
63 
63 
64 
64 
65 
66 
66 
67 




i 

9 

4 
5 


171 

74 
75 
76 

78 

It 


i4i 
i4i 
.43 

145 
i45 
i46 
'47 
,48 
149 


6 

4 
3 

9 
6 

4 


95 
96 
96 

97 
97 
98 

99 


5 

3 
9 

5 

7 


33 

33 
34 
35 
36 

V, 


,9>.5 
193,3 

M 
1973 
,9«., 
199.0 


119,1 

Si 

|33,0 

i3i,5 
,33,1 
,33,6 
,34.1 


146.3 

347:9 
148.7 


^i 

■ 63,8 

■ 64.4 
i65.o 
.65.5 
166.1 
166.6 
167.1 
.67,8 


I»IL 


ne^ 


LaL 


Dep. 


Lai. 


Tf,3l 


Dep. 


LaL. 


XUsi 


D... 


Lat. 


Ulit 


Itep. 


Lai. 


[For 56 DegrtM. | 



nvGoojj^lc 





igrees. 


Llial. 


Lai. 


Dep. 


Dili. 


Lai. 


Dep. 


Dist 


LSI. 


Itep. 


Di.,. 


Lat. 


Dep. 


Dis, 


Lbi. 


Dep. 


3 
4 
5 
6 

7 
S 
9 


o3 
o4 
04 
o5 
o6 

U 


8 
6 
5 
3 

9 

6 
4 


00 

oa 

03 
o4 

o4 
o5 
o5 


6 


61 
Sa 
63 
64 
65 
66 
67 
68 
69 


5o.o 
50.8 
5. .6 
53.4 
53.3 
54.1 

56.5 
57.3 


35.0 
35.6 
36.1 
36.7 
37.3 

%■% 

40,3 


33 

34 

35 

36 
38 

12 


99 
99 

11^ 
104 
io4 
io5 
106 


I 
6 
4 

9 
5 


69 
70 
70 
71 

73 

73 

74 
74 


4 
5 

3 
4 
6 


i: 

83 

84 
85 
86 
87 
89 
9" 


i4b.3 

IS 

■ 5. .5 
153.4 
i53.3 
154.0 
154.8 
155.6 


104-4 
io5.o 
105.5 
106-1 
106.7 
107,3 

1084 

,0(1,0 


341 
43 
43 
44 
45 
46 
47 

48 

t 


\% 

.99.1 

'99-9 

303.3 
3o3.. 
304.0 
304.8 


138.3 
■38.8 

\%i 

i4o.5 
i4i.i 

14.. 7 
143.3 

143^ 
1434 


i3 
i4 

i6 

i8 
'9 


'-9 
09 

\i 

1 3 

i5 
16 


6 
6 
5 
3 

9 
6 
4 


00 
06 

08 
08 
09 
09 




73 
74 
75 
76 

78 


%^ 

60.6 
61,4 
63.3 

63.1 
63.9 
64.7 
65.5 


40.7 

4i.3 
41.9 
43.4 
43.0 
43.6 
44.3 
44.7 
45.3 
45.9 


1; 

33 
34 
35 
36 
37 
38 
39 
4ci 


108 
i<« 
109 

ri3 
ii3 
it4 


i 

I 

6 
4 

9 


75 

t 

76 

78 
79 

S2 


7 

I 

5 


191 

1 

9« 
99 


156.5 
157.3 
i58,i 

;S? 

160.6 
161.4 
163. J 

,63.0 
163.8 


,,3]4 

1,3.0 

113.6 

1,4.1 
114.7 


35l 

53 

53 
54 
55 
56 


305.6 

3064 

308.9 

3097 

3 10.5 
311,3 

3l3!o 


144.0 

■44.5 
145.1 

,457 
146.3 
146.8 
i474 
148.0 
,48.6 
149.' 


33 
.36 


iS 
'9 

33 

34 


8 

I 

3 

i 

6 


i3 
i3 

14 
i4 
■ 5 
16 
16 




81 
83 
83 
84 
85 
86 

Is' 

89 

90 


66.4 
67.3 
68.0 

69:6 


46.5 

%% 

48,3 
48.8 

ll 

51.0 
5i.6 


i4i 

43 
43 
44 
45 
46 

% 


ii5 
116 

"2 

118 


5 
3 

6 
4 

9 


bo 
8[ 

83 
83 
84 
84 
65 
86 


2 

6 

I 
I 


o3 
04 
o5 
06 

08 
09 


r64.fi 
165.5 
166.3 
167.1 

'.68',? 
169-6 
1704 


,,5.3 
1,5.9 
,,6.4 

117^6 
1,8.3 
,.8.7 
1.9.3 


56. 

63 
64 
65 
66 
67 
68 
69 
70 


3,4.6 

3,54 

316.3 
317.1 

3,9.5 

3304 


.53.0 
i53 6 
■ 53.1 
.53.7 
.54.3 
.54.9 


33 

33 

li 

36 
3? 
38 

8 


35 

36 

=7 
38 

1? 

3i 
3i 

33 


4 

9 

5 
3 

i 


iS 
18 
'9 




9' 
93 

t 

99 


74.5 
75.4 
76. J 

77^8 
78.6 
79-5 
8a. 3 
81.1 


53.8 
53.3 
53.9 

id 

55.6 
56.3 
56.8 
57.4 


.5. 

53 

53 
54 
55 
56 

1^ 


133 
134 
■ 35 
136 

137 

138 

\Z 

i3i 


5 
3 

6 
4 


86 
87 
87 

88 
89 
90 
90 
9' 
91 


e 
3 

1 


\\ 
14 
i5 
16 

1^ 
'9 

33 

34 
35 

36 
37 
38 


,73.8 
173.7 
■ 74.5 
,75.3 
.76.1 

iSl 

178.6 

179^ 

,80. 3 


I3,!6 

;s? 

135.0 

,35.6 
,36.3 


371 
73 

i 


333.8 
333.6 

j»44 

335.3 

336.1 

336.9 


.554 
.56.0 
,56.6 

.58.3 

■? 

160.0 
160.6 


4i 

4i 
43 
44 
45 
46 

47 

t 


33 
34 
35 
36 
36 
37 
38 
39 
4o 
4< 


4 

9 

5 
3 


34 

.1 

35 

36 
37 

38 




o3 
o4 
o5 
06 

oB 
09 


83.6 

86. 
86.8 
87.6 

89:3 
90.1 


1' 

60. a 
60.8 
61.4 
6.-9 

63.5 

63.1 


63 
63 
64 
65 
66 

% 
69 


i3. 

l33 

1 33 
.34 
i35 
,36 
i36 
1 37 

I30 


9 

5 
3 

9 
6 
4 
3 


93 

? 

96 

97 


! 

6 

i 
? 


18..9 
,83.7 

,83.5 
■ 84.3 
,85., 

;g:i 

187.6 
,88.4 


,36.8 
137.3 

i3o.a 
i3o,8 
1 3, .3 

,3,-9 


3bl 
83 

83 
84 
85 
86 
87 
88 
89 
90 


330.3 
33,. 
331.8 
33]. 6 
333.5 

137.6 


161. i 
161.7 
163.3 
163.9 
.63.5 
164.0 
.64.6 
.65.3 
165.8 
.66.3 


53 

53 
54 
55 
56 
57 
58 


4< 
4i 
43 
44 
45 
45 
46 

il 

4q 


b 
6 
4 

9 

5 
3 


39 

12 

3i 

3i 

33 
33 

33 
33 
34 




:3 
i4 
.5 
16 

:8 
19 


90.9 

93.4 

94.- 
95.0 


64. J 
64.8 
65.4 
66.0 
66.5 
67.1 
67.7 

68^8 


73 
li 

76 

78 
79 


140 
r4o 

■ 4[ 
i4i 
i43 
144 
145 

■ 45 
[46 
.47 


9 

5 
4 

6 
4 


t 

99 

99 

io3 


8 

4 

! 


33 

33 

\i 

36 
37 
38 

t 


189.3 

190.0 
190.9 

195,0 
.55.8 
196.6 


i33.5 
,33., 
,33.6 
,34.3 
,34.8 
,.35.4 

;t! 

.37.1 

.37.7 


391 

i 


± 

340.8 
341.6 

34 3. s 
343.3 
344.1 
S44.9 
345:? 


166.0 
.67.5 
.68.1 
.68.6 
.69.1 

1704 
173.1 


Disl. 


Dep. 


LbL 


Km 


mp. 


Lbl 


Disi 


D«p. 


La 


. 


Dist 


Dep. 


Lsi. 


Disl 


Dep. 


Ui. 







































ny Google 



rvm TABLE 11. 

Kfierence of Luimde aod Departure for 36 Degnea. 


Di.<. 


Lai. 


Dep. 


1... 


Lu. 


Dep. 


Di« 


Lu. 


Dep, 


Diu 


LM. 


D.,. 


Din. 


LM. 


D.P. 


3 

4 
5 
6 

a 

9 


ai 
o5 
06 

3 


I 
4 

9 

5 
3 


o3 
o4 
o4 
o5 
o5 





63 
64 
65 
66 
67 
68 
69 
70 


8 

5i 
5i 
5i 
53 
54 
55 
55 
56 


4 

8 
6 
4 

a 


36 
37 
37 
38 

1 

40 

4i 


I 

6 

8 
4 

6 


33 
34 
35 
36 

:s 

52 


95 

io4 
io5 


9 


71 
7' 
73 

73 
74 
74 

i 




83 
84 
85 
86 
87 
88 
89 
9" 


i47.a 
148.1 
146.9 
■49.7 
i5o.5 
i5i.3 

l53.1 


io8.a 


341 
43 
43 
44 
45 
46 

S 


1^1 

1^,6 

196.3 

199,0 
.99,8 

30O.6 

30M 

301.3 


.41.8 
■434 
144.0 
.44-6 

■ 45,3 
■45,8 
■464 
146.9 


11 

:4 
i5 
i6 

;j 

■9 


o8 
09 

i3 
i4 
i5 
■ 6 


9 

5 
3 

I 
6 

4 


0? 




i 

74 
75 
76 

So' 


57 
58 

1 

6[ 

63 

63 
63 
64 


9 

5 
3 

9 

7 


4i 
43 
43 
43 
44 

fs 

45 
46 
4? 


I 
I 

I 
8 
4 


i3i 

33 

33 
34 
35 
36 

U 


106 
106 

;s 

II3 




3 

78 
79 
ss 

8i 

81 

83 




191 

li 
22 

99 


154.5 
.55.3 
i56.i 

158.6 
159.4 
160,3 

16. ,Q 
161.8 


1 14,0 

wii 

11 5.8 

116.4 


ail 

53 

53 
54 
55 
56 

u 


3o3., 

303.9 

3o4,7 

3o5.5 

306.3 

307,1 


X 

■ 48.7 
.4^3 

;gt 

i5i.i 

■ 51,6 

■ 59.1 

■ 53.8 


33 

34 

35 

36 

38 


17 
'9 

a3 

34 


8 
6 
4 

8 

5 
3 


l4 
t4 
i5 
.5 
16 
■7 




Bt 
83 
83 
84 
65 
86 

I^ 
89 
V> 


65 
66 

68 

69 

70 
71 

73 

7J 


5 
3 

8 
6 
4 

3 


48 

5o 
5i 
5i 

53 
53 


6 
8 

4 
5 

I 

9 


Mi 

4a 
43 
44 
45 
46 
47 

48 

S 


ii4 
ii4 
ii5 
m6 

118 
■ 18 
119 




83 

83 
84 
84 
65 
85 
86 

is 




04 
o5 
06 

06 

09 


■ 63,6 

163.4 
164.3 
i65.o 
i65,8 
166.7 
167.5 
168.3 

'^■' 
169.9 


,,8., 

133.8 

133.4 


361 

63 

63 
64 
65 
66 

69 

70 


313.8 

ai3.6 
3)4,4 

31 5.3 

a 16.0 
316.8 
3,7.6 
318.4 


■ 534 
.54-0 
154.6 
155.3 
i55,S 

■ 564 

ii! 

,58.7 


3, 

33 

33 

34 
35 
3a 

s 

32 


35 

35 
36 

38 

39 

11 

3, 

33 


9 
5 
? 
9 

7 
6 

4 


18 
.8 
'9 

33 


1 


9' 

1 

96 

99 


73 

76 
78 
s; 

Bo 


6 
4 

7 

5 
3 

9- 


53 

54 
54 
55 
55 

56 
57 
57 
58 
58 


5 

3 
8 
4 

5 

8 


i5i 

53 

53 
54 
55 
56 

57 

58 

S 


133 
133 
134 
135 
136 

137 

138 

J 39 


8 
6 


as 

90 

9' 
9' 
93 

2= 

94 


? 


i3 

i4 
■ 5 
16 

\l 
'9 


170.7 
.71.5 

175.6 

1764 


134X1 

134.6 

135.3 

I3S.8 
136,4 

.37:5 
1 38. 1 

138,7 
.39.3 


171 

i 

78 
S2 


a 19,3 

330.9 

133.3 

134.1 

334.9 

nil 


.S,.3 

;£? 

161. 1 
161.6 
161.3 

l6a.8 
1634 
■64x> 
.64.6 


4i 
4i 
43 
44 
45 
46 

47 
48 


34 
34 

35 

36 

38 
39 
40 


8 
6 
4 

8 
6 
5 


34 
34 

35 
35 

36 

i 

39 


i 
? 

6 

8 
4 


o3 
04 
o5 
06 

09 


81 

an 

83 
64 
84 
85 
86 

is 

89 


5 
3 

i 

6 

4 


60 
61 
61 
63 
63 
63 
64 
64 


4 
5 

3 
I 


161 
63 

63 

64 
65 
66 
67 
68 
69 


i3r, 
i3i 
i3[ 

i33 

■ 33 

i34 
i35 
i35 
i36 

■ 37 


I 


97 

i 

99 
9? 


b 

6 
4 

j 

i 

9 


33 

34 

35 
36 

38 


.78* 

;s2^ 

l8l.3 

1S3.0 
183.8 

183.6 

,84.5 
t85.3 
.86,1 


139.9 

i3o.5 
13..1 
131-7 
133.3 
133.8 
i33-( 
i34,o 
134.5 
135.3 


36] 
63 

83 
84 
85 
66 
87 
86 
89 
90 


ii 

i3U 
333.3 
333x1 
333,8 
334.6 


[65.3 
165,8 
166.3 

;g? 

168.1 

168.7 
.69,3 


53 

53 
54 

55 
56 
5? 

i 


4i 

43 
4a 
43 
44 
45 
46 
46 
47 
48 


9 

5 
3 

9 

5 


3o 
3[ 

3i 

33 

33 

33 

34 
34 
35 


6 

i 
? 

3 


13 

i4 
i5 
16 

IS 

19 


89 

90 
9^ 

i 

97 


6 
4 

5 
3 


65 
65 
66 
67 
67 
68 
68 

1 


171 

73 

74 
75 
76 

77 
78 

S2 


i38 
.39 
140 
i4o 
i4i 
r43 
143 
■ 44 
144 
i45 


i 

i 
6 
4 

8 
6 


11)3 
ic)4 
104 
.o5 
io5 


5 

i 

! 

3 

8 


33 

33 
34 
35 
36 
37 
38 


187.7 
188.5 
.89,3 
■90,1 
190.9 
.91,7 
193,5 


i36.4 

il! 

138.7 
i4i.^ 


391 

1 

96 

322 


3354 

336.3 

337.0 
337.9 

Si 

140.3 
341.1 

«i.9 
U'7 


i7i;6 

■74.0 
174,5 
.75.3 
175,7 
.76,3 


Disi 


Dep. 


t 




Dim 


Dep. 


■..,. 


Di.1. 


D». 


L,u 


ihiL 


D.P. 


L>i, 


Di>L 


1)-,. 


Lu, 


[r«54D.Br"-- 1 



ny Google 



Dill. 


LmL 


Itep. 


Di.t. 


LM. 


D.p. 


Disi. 

33 

34 

35 
36 

11 


Lai 




Dep. 


DItl 


Ui. 


D«p. 


Dill 

341 
43 
43 

44 
45 
46 
47 

4B 
^5? 


Lai. 

193.5 

.94.. 
194.9 
195.7 

I9S.I 

.98.9 

'99-7 


D.P- 
745-0 
1-15,6 
.46-3 
,46.8 
i47-4 
,48-0 
,48.6 
,49-3 

\iii 

l5i-7 
i5=-3 
,53.9 
,53.? 
,54., 

■Ml 
'Mi 


3 

4 
5 
6 

7 
» 

9 


oo.e 

OI.6 
OJ.4 
o3.> 
o4.o 
04.8 
o5.6 
o6.4 

o8!o 


o3 

04 
04 

o5 
06 


6 

8 

4 

6 

8 
4 


61 
63 
63 
64 
65 
66 

u 

69 


56. 3 
5i.i 

53.5 
54.3 

55,1 
55.9 


j,:3 
S:l 

46.3 
40.9 
41.5 
4a. 1 


9** 

99 
99 

io3 
io3 




74 
74 

76 
78 


S 
4 

6 

8 
4 

6 


.8] 
83 
84 
85 
86 
87 
68 
89 
9" 


■44* 
.45.4 
146.3 
1 46.9 

\iu 


108.9 

iiS 

IL3.I 

1.3.7 
1.43 


i3 
i4 
i5 
i6 

\l 
'9 


o8.8 
U9.6 
ia.4 

ii!8 
i3.6 

14.4 
■ S.i 
iG.o 


08 
09 
09 


8 
4 

6 

8 
4 


73 
74 
75 
76 

77 
78 


a6.7 

Ui 

60.7 
6t.5 
61.3 
63.1 
63,9 


43^3 
43.9 
44.5 
45.1 
45.7 
46,3 
46.9 
47.5 
48,1 


3i 
33 
34 
35 

36 

U 

39 

4o 


104 
io5 
106 
107 
107 
loB 
109 




78 
^ 

80 
81 
81 
83 
83 
83 
84 


4 

6 

8 
4 

3 


191 

1 

99 


153.3 

1 54.1 

i56.5 
i5t.3 
i58.i 
,58.9 
.iM 
160.5 
.61.3 
163.1 

leiT 

.64.5 
165.3 
166. 1 
166.9 
167.7 


116.3 
116.8 

1.7-4 

118-0 
118.6 
1.9.3 
.[9,8 

130.4 


53 

53 
54 
55 
56 
57 
58 


30, .3 

3:? 

3o4-5 
=o5,3 

3o6.q 

306^ 
307.6 


j3 

34 

1? 


16.B 
17.6 
18.4 
19.3 

ai!6 
11.4 
i3.a 
a4.o 


i3 
i3 
14 
i5 
i5 
16 
16 

\l 


6 

8 
4 

6 

! 


Si 
Ba 
83 

84 
85 
S6 
87 
88 
89 
90 


04.7 
65.5 
66.3 
67.1 

7'-9 


48-7 

ti 

5o.6 

5i.i 
Si.B 
53.4 
53.0 
53.6 
54,3 


i4i 
43 
43 
44 
45 
46 

47 
48 

it 


nl 
1)4 
ii5 
ii5 
116 

118 
119 
119 




84 
85 
86 
86 
87 

90 


f 

3 

1 

3 


d3 
04 
o5 
06 

09 


.31^6 

'"i£ 
133.4 
1140 
134.6 

135.3 

135.8 
i:iG.4 


3bi 

63 

63 
64 
65 
66 
67 
68 
69 

73 

74 

75 
76 

77 
78 


ao9a 

3to!8 
3,.. 6 
3.3.4 

Sl3.3 

3.4-8 
3.5.6 
316.4 

3,7-3 
3,8.0 

3,8.8 

3,9.6 

aao-4 

333'.8 
333.6 


:&; 

,S>J 
iM.? 
,S,i 
i6ci,i 
160,7 
16. ,3 
16. .9 

,63,5 

i63,i 
i63,7 
,64,3 

;a;i 

,66,1 
166.7 
,67.3 
167-9 
168,5 


3i 
3a 
33 
34 
35 
36 
37 
38 

4^ 


s5.6 
i6.4 

j8.B 
59. 5 
36.3 
3i.[ 
31.9 


'9 
'9 

33 

?4 


3 

? 

3 

t 


1 

99 


73.7 
73.5 

r. 

79.1 


i4.8 

m 

56.6 
57. J 
57.8 
58.4 

60. a 


53 

53 
.54 
55 
56 

ll 


ii3 
ii3 

134 
135 
136 




90 

9" 
91 

1 

S 


! 

3 

1 

3 


i3 
■4 
i5 
16 

\l 
'9 


.59.3 
170.1 
170.9 

173!5 
173.3 

174.1 


■is? 

138.8 

Si 

i3o.6 

l3l.3 

13..8 
.33.4 


4i 

43 

43 

44 
45 
46 

% 

n 


3a .7 
33.5 
34.3 
3S.1 

m 
iv. 


a5 
16 


3 

1 

3 
? 


o3 
04 
o5 
06 

oB 
09 


81.5 

83.3 
83.1 
83.9 
84.7 
85,5 
86.3 
87. 1 
87.8 


6.-4 
63.0 
63.6 
63.3 
63.8 
64.4 
65. 
65.6 
66.3 


16. 
63 

63 
64 
65 
66 
67 
68 
69 
70 


138 

■ 3> 
i3> 

■ 33 

i33 
|34 
|35 
i35 




98 

i 
99 

99 

10a 


! 

I 
f 

3 


33 

34 

35 

36 

38 


,,6.5 
177.3 
178.T 
.7S.9 
un 

18 1,3 
183.1 

!S5:? 


i33.n 
133.6 
.34.3 
.34.8 
135.4 
.36,0 
136.6 
.37.3 
.37.8 
,3&4 


38] 
83 

83 

84 
85 
B6 
87 
88 
89 
90 


334.4 
335.3 

336!8 

339.3 

33o.o 
330-8 
a3,,6 


169.7 
170,3 

.73.. 

Si 


5i 
5» 

53 
54 
55 
56 
57 
58 


41.3 
43.. 
43.9 
44.7 
45.5 

46.3 
47.' 
47-9 


3i 
3> 

31 
33 

33 
34 
34 
35 
36 


3 
? 

3 
? 


w 

i4 
i5 
16 

iS 
'9 


89.4 
90.= 
91.0 

Hi 

u 


67.4 
68.0 
68.6 
69.3 
69.8 
70.4 

]\i 

73.3 


17 = 

ll 

74 
75 
76 
77 
78 

ll 


■37 
i38 

;i? 

t4o 
i4i 
l4a 
i43 
143 


8 


io3 
io4 
io4 
io5 
io5 
106 

108 


f 

3 

I 

3 


ajr 

33 

33 
34 
35 
36 

ll 


184.5 
185.3 
186.1 
186.9 
187.? 
188.5 
.89.3 
190.1 
190.9 


iS 

,4o.B 
■4U 

143^6 
i43.a 
.43.8 
.44.4 


391 

1 

3^ 


aJaJ 

333.3 

334.0 

334-8 
a35-6 
336-4 
337,3 

338!8 
339-6 


1,1.. 
Si 
Si 

178.1 
178.7 
.79.3 


Dim. 


Dep. 


I,M, 


Bill 


Dtp. 


Lnt. 


Kit 


Dep. 


Lm. 


Km. 


Dep. 


Lai. 


Di«. 


D,p- , La.. 1 







































ny Google 



Pi" Ml TABLE II. 

' Difieience of Latitade and Depaiture for 36 Degrees. 


Dill. 


Lu. 


Dep. 


Di>t 


LaL 


Dep. 


Dill 


Ut. 


D.p. 


Dill. 


L*t. 


Dep. 


Dili 


Lu. 


D,p. 


3 
4 
5 

6 

2 

9 


^:6 

oi,4 
o3.3 

o4.7 
o5.5 
o6.3 

07. 1 
07.9 


o3 
o3 
o4 
d4 
o5 
06 


b 

8 
5 


61 
63 
64 
65 
66 
67 

69 
70 


48 
48 

g 

5i 
5j 
5i 
53 
54 
55 


i 

4 

8 
6 
4 


37.6 
38.3 
38.8 

ti 

40.6 

4l.3 

41.9 

43.5 

43.1 


33 

34 
=5 

36 

i 


t 

99 


3 
9 

5 
3 

9 

4 


74 

i 

77 

78 
78 


5 

6 

8 
4 


83 

83 
84 
85 
86 
87 
88 
89 
90 


143.6 
143.4 
'44.3 
145.0 
145.8 
146.6 
1474 
i48.. 
.48.9 
.49.7 


iii4 
113^3 

11 5.1 

1.5.7 
1.6.4 


43 
44 
45 
46 
' 47 

48 

it 


189,9 
190.7 

193.. 
.93.9 

197.0 


1484 
149.0 

i5o.8 
.51,5 

.53.1 

153.7 
i53.3 
153.9 


i3 

i4 
i5 

\l 

>9 


08.7 
09.5 

i3.4 
i4.a 
i5.o 
i5.e 


SI 

08 
09 
°9 


8 

4 
6 

i 


71 
73 
74 

75 
76 

78 

S 


55 
56 
57 
58 

1 

61 
63 


9 

I 

3 
9 

5 

3 


43.7 

44.3 
44.9 
45.6 

46.3 

46.8 
47.4 
48. 
48.6 
49.3 


[3i 
3j 
33 

li 

36 
37 
38 


io3 

104 
104 
,o5 
106 

108 
108 
109 


8 
6 
4 

5 

3 


80 
Si 

81 

83 
83 

85 
86 


1 
? 

3 
6 


191 

9? 

93 

99 


.bo.5 
.5.. 3 
.5a.. 

.53.9 
.53.7 
.54.5 
i55.a 
156.0 
156.8 
157.6 


1.8.8 
"9^4 


53 

53 
54 
55 

56 
57 
58 


.978 

loo. 3 

100.9 

103^5 

ao3.3 
io4.. 
104.9 


.55.1 
.55.8 

.58.3 
.56.8 
.59.5 
.60.. 


33 


.6.5 
17.3 
■ 8.1 

.8.9 

If.l 
3. .3 


i4 
i4 
i5 
16 
]G 
'7 

;^ 


1 

8 

4 
6 

? 


81 
81 
83 
S4 
85 
86 
By 
88 
89 
90 


t)3 
64 
65 
66 
67 

u 

69 

70 
70 


8 
6 
4 

6 
3 

9 


l:i 

111 
54.3 
54.8 
55.4 


i4> 

43 
43 

f^ 

46 
47 
48 

ii 


m3 
114 
ii5 
ii5 
u6 

"I 


9 

I 

3 

8 
6 
4 


86 

is 

88 

1 

90 
9' 

9' 

9a 


a 
4 

3 

s 
i 


o3 
04 
□5 
06 
07 
08 
09 


■1- 

160.0 

.S0.8 
i6i.5 
i6a.3 
i63.i 
163.9 
164.7 
.65.5 


"44 
ia5.o 
135.6 
136.1 
ia6.8 

137.4 

138^7 
,39.3 


361 
63 
63 
64 
65 
66 
ft7 
68 
69 
7" 


ao5.7 
ao6.5 

308.8 
1.04 

iliie 


.60.7 
161.3 
16.. 
.6a.5 

.63.1 
.63.8 
1644 
i65.o 
.65.6 
166.3 


si 

33 
34 
35 
36 
3? 
38 


34.4 
35.1 
36.0 
36. S 
57.6 
38.4 
39.1 
39.9 
3o.7 
3. .5 


'9 
19 

=3 
14 

34 


i 
1 

8 
4 

6 


9' 

1 

99 


7' 

11 

74 

75 
76 

i 


I 

3 

t 
4 

8 


56.6 
57.3 

S:? 

i;i 

61.0 
61.6 


5a 
53 
54 
55 
56 
57 
58 

1? 


119 
119 

133 

i]6 


8 
6 

4 
9 

5 
3 


5^ 
93 
94 

i 

90 
97 

8 


6 

8 
4 

i 
1 


W 
14 
i5 
.6 

'9 


.67.1 

.67.8 
168.6 
.69-1 

i7i!8 
i7a£ 

n3.4 


\ltt 
i3i.i 

l3a!4 
1 33.0 
i33.6 
,34.3 
134.8 
135.4 


171 

73 
74 
75 
76 

t8 


31 3.6 

314.3 

3j5.. 

315.9 
116.7 
317.5 
aiB.3 

3.9.1 


i66.a 

168.7 
169.9 

l?i':8 
.73.4 


4> 

43 

43 
44 
45 
46 
47 
48 

t 


33! I 

S:? 

35.5 
36. a 

11 

39,4 


lb 

35 

16 
17 

38 

g 

3o 


i 

I 
I 
I 


o3 
o4 
o5 
06 

oS 
09 


81 

83 
83 
84 
85 
85 
86 


6 
4 

5 
3 

9 


63.8 

g;5 

64.6 
65.3 

65.0 
66.5 
67.1 
67-7 


.6, 

63 
63 

64 
65 
66 
67 
68 
69 


3 
\'£ 

i3o 
i3i 

■ 33 

i33 
.34 


9 

4 

8 
6 

4 


99 

99 

iq3 
io4 
io4 


4 

6 

8 
4 


i3 
14 

as 

36 

38 


.74.3 

nB.i 

178.9 

179.7 
iai.5 

181. a 


.36-7 
137.3 

',IU 

i4o.4 
i4i-o 
141.6 


83 
83 
84 
85 

86 

SS 

s, 

90 


133.8 
1J4.6 
»i54 
136.1 
316.9 


.73.0 
173.6 

,75.5 
176.1 
176.7 
177.3 


5i 

53 
54 
S5 
56 


40.3 

V, 

43.6 
43.3 
44.1 
44.9 
45.7 
45.5 
47.3 


3i 

33 
33 

33 
33 
34 
35 
35 
36 
36 


4 

6 

i 

3 

9 


l3 
i4 
i5 
16 

18 

'9 


90 

9' 

1 


5 
3 

8 
6 
4 

8 
6 


69.0 
69.6 

70:8 
71 -4 

11% 
73.3 
73.9 


'7' 

73 
74 
75 
76 

'7a' 

I? 


.34 
i35 
i36 

.39 
i4o 
i4i 


5 
3 

9 

I 

3 
8 


loS 
io5 

ii 

.09 

109 


7 

4 
6 
8 


35 

33 
34 
35 
36 
37 
38 
39 
40 


183.0 
I8J.8 
183.6 
1B4.4 

.85.3 
.86 J) 
186.8 
187.5 
188.3 
.89.. 


143.4 
144.1 

;£? 


■9. 


If.', 

333.5 
333.3 

a34.o 
a34.e 
a35.6 
3364 


il 

181.6 
.81:5 

,83.5 
.84.1 
.84.7 


UilL 


IXp. 


Ul 


UitI 


d™. 


L«l. 


Di.. 


Dep. 


Lai. 


Dill 


Dep. 


L«i. 


Di<n 


Dep. 


Lai. 


[For 63 Dcgrew. J 



ny Google 



TABLE H. :pi«!» 
Difference of Latitude and Departure for 39 Degrees. 


DilL 


L.t. 


Dep. 


D!sU 


Lu. 


D,,.. 


Dial. 


Lat. 


D.p. 


Dili. 


Lm. 


D^. 


Dill. 


Lu. 


Dep. 


3 
■f 

5 
6 

8 
9 


o3 
o4 
o5 
o6 
o7 
C7 


8 
6 
3 

9 

4 

8 


01.3 

:;:! 

o3.. 
o3.8 
04.4 
o5.o 
o5.7 
06.3 


61 
63 
64 
65 
66 
67 
68 
69 


47-4 
48.1 

li 

5i.3 

53.1 

53.8 
53.6 
54.4 


1 

to 

4i 
43 
43 
43 
44 


4 

6 
3 

I 

S 

4 


j3 

34 
35 

36 

11 

12 


1 

97 
99 


8 
6 
4 

9 

5 
3 


76 
76 

i 

79 
79 
80 

si 


8 
4 

3 
? 
8 


8a 
83 

84 
85 
86 

SJ 

89 
90 


140.7 
.41.4 

i4a.a 
143.0 
.43.8 
144.5 
145.3 
146,1 
146.9 
147-7 


Il5,3 

u5,8 
116,4 

i.8!3 


a4i 

% 
t 

46 

47 

48 


■ 87.3 
188.1 
168.8 
.69.6 
1904 
191,3 
193.0 

;?:? 

■54.3 


l5l.7 
i53.3 
153.9 
153.6 
i54.i 
i54.e 
155.4 
156.1 
i56.7 
l57.? 


i3 
14 
i5 
i6 

-.1 

>9 


09 

U 
'4 
i4 
i5 


3 

9 

7 

4 

8 
5 


oa'.i 

os.e 
09.4 

'i'l 


I 
74 
75 
76 
77 
78 


56. 
56.7 
57.5 
58.3 

?,i 

60.6 


45 
45 
46 
47 

% 
1 


3 

t 

8 
5 

I 


3a 
33 
34 
35 
36 
37 
38 
39 
4o 


io3 
io4 
.04 
io5 
.06 

108 


6 

4 

9 
5 

8 


83 
83 
84 
85 
85 
86 
86 

'd 


4 

6 

S 
5 


.9. 

94 

99 


i49.a 
i5o.o 
i5o,6 
i5i.5 
i5a.3 
.53.1 
153.9 
■54.7 
1554 


laoie 

131,5 
1333 

.34.0 
la4,6 

135,3 

.a5.9 


351 

5a 
53 
54 
55 
56 

% 


.9i.r 
195.8 

.96.9 
301.3 


158.0 
158.6 

111 

,62.5 
16,. 1 
.61.7 
16M 
i63.o 
.63.6 


i3 
a5 

So' 


18 
'9 

33 


9 

4 

8 
5 
3 


.3.8 
14.5 

i5.i 

'B 

18.3 


83 
83 
84 
85 
86 
87 
88 
89 
90 


64.5 
65.3 
66.1 
66.8 
67.6 
68.4 
69.3 
69,9 


5i 
5a 
5a 
53 
54 
54 
55 
56 
56 


6 

I 


Ml 
4i 
43 
44 
45 
46 
47 
48 

ii 


'"9 

!.3 

■ i4 
ii5 
m5 

116 

"9 

laa 
.a3 
ia4 


4 
9 
5 

S 
6 


89 
90 
90 
9' 
91 

^ 
93 

94 


4 

6 

3 

? 
4 


o3 
04 
o5 
06 

08 
09 


.57-0 
.57.8 
.58,5 

]6i!6 
16a .4 
i63.a 


IS:? 

.30,3 
i33,a 


36. 

63 

63 
64 
65 
66 

69 
70 


S03.6 
3o4.4 

305.3 

J05.9 

ao6.7 
107.5 
ao8.3 


.64.3 
164.9 
i65.5 
166.. 
■663 

169.9 


Ji 

3a 
33 
34 
35 
36 
37 
38 


34 

li 

16 

18 
j8 

3i 


I 

4 

8 
5 

3 


19.5 

ai.4 

a3!3 
a3.o 
a4.? 
35.1 


9" 

1 

99 


70.7 
71.5 

73.8 
74.6 
75.4 
76.3 
76.9 
77.7 


57 
58 

1 

61 
61 

6a 




5a 

53 

li 

56 
57 
58 

i2 




1 

96 
97 

?s 

99 


3 

1 

8 

4 


i3 

14 
i5 
.6 

\l 
'9 


]64,o 
164.8 
i65,5 
166,3 
167,1 
167,9 
168,6 
[69.4 


i33,4 
.34,0 
.34.7 
.35.3 

It? 

.37, J 
.37-ii 
.38.5 


371 

53 
74 
75 
76 

83 

83 
84 

66 

89 

90 


aiM 

WT, 

3l3.7 

3i4.5 
11 5,3 
a 16.0 
316.8 
3,7.6 


Wx'l 
.734 

■73.1 

173.7 
174.3 

175.0 

175-6 
.76.3 


41 

% 

44 
45 
46 
4? 
48 

t 


3i 
33 

35 
36 
37 
38 
38 


1 

4 

i 

3 


35.8 
36.4 

1! 

3o.B 
3i.5 


o3 
04 
o5 
06 

08 
09 


78.5 

79-3 
80.0 
80.8 
6. .6 
83.4 
63.3 
83.9 
84.7 
85.5 


64 
64 
65 
66 
66 
67 

68 
69 




65 

63 
64 
65 
66 
67 
66 
69 

73 
74 
75 
76 

?i 


lai 
.a5 

ia8 

139 

;g 

i3i 
.3a 


I 

6 
3 


io3 
io3 
jo4 
ici5 
iu5 
,06 


3 

1 

8 
5 

4 


a3 

34 
35 

36 
38 
3? 


i7a!5 
173,3 
174.1 

176-t 

178^0 
178.7 


ili 

.41.0 
141.6 
i4a,a 
•4a.? 
.43.5 
.44,1 
144,7 


119.1 
319.9 

13. !5 

133.3 
3 J 3.0 

133.8 
134.6 
aa5.4 


IS:? 
:;S:: 

179-4 
180... 

■Bo.(. 
.8.-3 
■ 8^.o 

,83.^ 


ii 
5a 
53 
54 
55 
56 
5? 
58 


41 
43 

45 

43 
44 
45 
45 
46 


4 

I 

3 

1 


33.. 

3,. 7 
33.4 
34.0 
34.6 
35.3 

i:? 


■ 3 

>4 
i5 
.6 

18 
19 


86.3 
87.0 
87.8 
88.6 

89. 4 

90.. 
90.9 

hi 


69 
7" 

75 




iJa 
■ 33 
134 
i35 
,36 
i36 
.37 
.38 


9 

4 

8 
6 
3 

9 


io8 
L09 

m3 


6 
\ 

a 
4 

6 

3 


33 

33 
34 
35 
36 
37 
38 

1 


181 ^o 
,8ai 
1834 


145.4 
i46,o 
■ 46,6 
147.3 

% 
,56,4 
.5.,o 


391 

9' 
93 

,99 
3oo 


119.3 
i3o.o 
a3o.B 
a3..6 
333.4 
333.1 


l83., 
,63.8 
,844 
185.0 
■ 85.6 
,86.3 

;S 

188.1 


Di>t 


IHp. 


I.Bl. 


Dep. 


Lai. 


I)i.t 


Dtp. 


L». 


ni*i 


Dep. 


Lu. 


Dili 


Dep. 


Lat 


[For 51 DcfraM j 



ny Google 



'•9»x: TABLE 11. 


Ki 


Lai. 


D.p. 


Dii( 


Lu. 


Dep. 


Di.1 


Lai. 


Dep. 


Di.t. 


Lai. 


Dep. 


On 


Lai. 


D.p. 


3 

4 
5 
6 

1 

9 


WJ.B 
OI.5 

03.3 

o3.. 
o3.8 
o4.6 
o5.4 
o6.: 
06.9 
07-7 


o3 
o3 
o4 

o5 
o5 
06 


b 
3 
9 

i 

e 
4 


61 
6a 

63 
64 
65 
66 
67 

69 

70 


it 
ti 

52.6 
5i.3 

53.1 

53.9 
53.6 


1 

4i 
4i 

1 

44 
45 


I 

8 

4 

7 
4 


34 

35 

36 

3B 

3^ 


1 

99 


I 


77.8 
78.4 
79.1 

z:, 

61.0 
81.6 

83.3 
83.9 
83.6 


181 
83 
83 
84 
85 
86 

II 

90 


138.7 

139J 

l4o.3 

i4i-o 
14..7 
.43.5 
■43.3 
144-0 

1411 


U7-0 

130^8 
I3I.5 


341 
43 

43 
44 
45 
46 

47 

46 


■84.6 
i854 
166.1 
186.9 
187.7 
1684 
1B9.3 
190.0 


•Mi 
■ 56.3 

156.8 
157-5 
1 58.1 
156.6 

160.7 

161.0 

.63-6 
.63.3 
163.0 
■54.6 
i65.i 
i65.e 
166.5 
.67.. 


i3 
]5 

iB 
■9 


o(J.4 
o9.a 

mIs 

[1.3 
i3.o 
i3.8 
i4.6 
i5.3 


07 

SI 

09 
09 


4 

6 
3 

I 


73 
74 
75 
76 


54.4 
55.3 

12:? 
B 

61.3 


45 
46 
46 
47 

48 

48 

5o 
5, 



3 

1 
I 

8 

4 


33 

33 
34 
35 
36 

u 

39 

40 


io4 
io4 
io5 
106 




84.3 
S4.8 
85.5 
86.1 
66.8 
87.4 
88.1 
88.7 
89.3 
90.0 


191 

i 

99 


.46.3 
1471 

■ 47-8 
■48 6 

;g;f 

IS:? 

i53.3 


1334 

134.1 

134-7 
135.3 
116.0 
136.6 


S3 

53 

54 
55 
56 

57 
58 


1^.8 

ltd 
196.9 
.^4 

■99 = 


11 

34 

a5 
a8 

II 


.8.4 
19. J 
19.9 
10.7 

ai.4 
i3!o 


>4 
14 
i5 
16 
16 

le 


8 
4 

7 

4 

6 
3 


81 

83 

83 
84 
85 
86 
87 

89 


63. 6 
63.6 
64.3 
65.1 
65.9 
66.6 
67.4 
6B.3 
68.9 


53 

5a 
53 
54 
54 
55 
55 
56 

11 


I 

6 
3 

9 


i4i 
43 
43 
44 
45 
46 

il 


108 
105 

Vi3 
u4 
ii4 




90.6 
91.3 


04 

o5 
06 

08 
09 


154.0 
154-7 
.55.5 
156.3 

156.6 
2i 


:3^:a' 

i3i.5 
i3i.i 

i3i.8 

\fd 

133.7 
134.3 
135.0 


36. 
63 

63 

64 
65 
66 

i 

76 
78 


.99.9 

301 ^5 
303-3 
303.0 

ao3.8 
304.5 

3o5.3 
306.1 

3o6J 

Si 

309.1 
309.9 

3.14 


170.3 
I7I.0 
.71.6 
■73.3 

\in 
174.3 
174.8 

■ 75.5 
176.1 
176.8 
i77-( 
178.I 


3i 
3j 
33 
34 
35 
35 

37 

38 


24.5 
j5.3 
56.0 
36. 8 
37.6 
J8.3 


'9 

33 

i3 
34 

35 
35 


I 
I 

4 


9' 

i 

99 


69.7 
70.5 
71.3 

B 

74.3 
75.1 
75.8 
76.6 


i 

61 
61 

63 

63 
63 
64 


5 
4 

4 

6 
3 


i5i 

53 

53 

54 
55 

56 
57 
58 

S 


lie 

■ la 

■ 18 
119 




97.1 

103!8 


t3 
i4 
iS 
16 

\l 
'9 


.61.6 
163,4 
■63.3 
.63.9 

164.7 
16S.5 
166.3 
167.D 
.67.8 
.68.5 


135.6 
.36,3 

ii 

.38.8 

X 

140.8 
14.4 


4i 
4i 
43 
44 

S 

47 

4S 

g 


JI.4 

31.3 

31.9 
33.7 
34.5 
35.1 
36. 
36.8 

Ui 


=7 

li 

38 

g 

3o 
3i 

33 


4 

6 

3 
I 


o3 
04 

o5 
06 

08 
09 


78:7 
78.9 

Z] 

83 !□ 
83.7 

83.5 

84.3 


64 
65 
66 
66 
67 
68 
69 
70 


i 

8 
5 

S 

4 

7 


i6< 
63 
63 
64 
65 
66 
&7 
68 
69 
70 


13J 

[34 
134 
135 
136 
137 

136 


3 

i 

4 
9 
5 


I04.1 
ic.4.8 
105.4 
106. 1 

106.7 

•s.i 

iu6.6 
109.3 


33 

34 

35 

36 

12 


.69.3 
170. 1 
170.8 
171.6 

173.9 
174.7 
175.4 
176.3 


143.1 

.43.7 
.43.3 

.44.0 

;s 

145.0 

146.6 
147.3 
147-8 


38 1 
83 

83 
84 
65 
86 
67 
86 
89 
90 


116.0 
3.6.6 

318J 
119.1 

im 
»i4 


181.3 
181.9 
183.2 

■ 83.1 
1 83-8 
.84.5 
i85.. 
185.8 
1864 


5j 
53 
54 
55 
56 
57 
58 


41.4 
1;:? 

44.4 
45-i 
46. 


33 
34 
34 
35 
36 
36 
37 
37 
38 


I 


i3 

[4 
i5 
16 

\l 
'9 


85.8 
86.6 

•'1 

90.4 
91.3 
91.9 


74 

75 
7S 
76 


3 

6 
3 

I 

e 
5 


73 
74 

It 


i3[ 

■ 33 

i33 

;g 

.35 

136 
■37 
■37 


i 
5 
3 

8 
6 
4 


109.0 
iii!8 

113. 5 

[i3,i 
713.8 
114.4 
ii5.i 
Il5.7 


33 

33 
34 
35 
36 

U 
2 


'77-0 
■ 78:5 

.60.B 
181.6 
.83.3 
1 63.. 
.83.9 


.48.5 

:g 

iSi.i 
.51-7 
■ 53.3 
I53.0 
.53-6 
.54.3 


391 

i 


335.3 

336^3 
336.7 

M9.0 

..,J1 


187.1 

;si:i 

190.3 

193,3 
■93.6 


Dep. 


L«. 


Di.l, 




U.. 


n»L 


d™. 


Lu. 


Din. 


D.p. 


Lit. 


mil. 


Dm. 


Lai. 


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Dill. 


Lu. 


Dep. 


Di>i 


Lm. 


Dep. 


Dm. 


UL 


Dep. 


Di»l. 


L«l. 


Dep. 


DiJi, 


Lai. Dep. 1 


3 

4 
5 
6 
7 
6 
9 


oo.b 

O..S 

o3!o 
o3.8 

aj 

06,0 
06.8 
07.5 


o3 
o3 
o4 
o5 
o5 
06 


5 

6 
3 

1 

i 


bi 
61 

63 
64 
65 
66 

u 

69 

70 


46 

46 

47 

48 

1 

5. 

S3 

5i 



8 
5 
3 

8 

6 
3 

8 


4o 
4o 
4i 
43 
4> 
43 
44 
44 
45 
45 


3 

6 
3 

6 
3 


33 
34 
35 
36 

38 


9' 

1 


6 
6 
3 

8 
6 
4 


i2 
80 
8. 
63 
8> 
83 
84 
84 
85 


4 
4 

i 

6 
3 

I 

3 

I 
I 

8 


.8. 
63 
83 
84 
85 
86 

?S 

89 
90 


136.6 

i374 
138,1 

i4o,4 
i4i.i 
.41.9 
143.6 
143.4 


118.7 
ir9.4 

130,7 
131.4 

114.0 
134.7 


14 1 
41 
43 
44 
45 
46 
47 

48 

t 


i834 
184.1 
,84.9 
185,7 
186,4 
,87.3 


1 58.1 

158.8 

'^■^ 
160.1 

160.7 
1614 
163,0 
161.7 
1634 
164 X) 


i3 
14 
i5 

i6 

\l 
'9 


<*.3 
09.1 

?A 

11.3 

1^8 
i3.6 
14.3 
iS.i 


07 

3 

09 
09 

I3 


! 

8 
5 

8 

5 


7' 


53 
54 
55 
55 
56 

S 

58 


6 
3 

8 
6 
4 

I 
4 


46 

47 
47 

48 
49 

t 

5i 
5i 

53 


6 

i 
j 

8 
5 


i3[ 

33 

33 

li 

36 


9« 

99 

io3 

io4 
io4 
io5 


t 

4 

i 

4 

9 

7 


86 

87 

II 
SI 

9° 
9' 


19. 

1 
li 

99 


144.1 

'.in 

146.4 
147.3 

.50.9 


135.3 

.36£ 

137.3 

\in 
139,3 


35l 

53 

53 
54 
55 
56 
57 
58 


189-i 
190.3 

190,9 

'^ 

196,3 


.64.7 
165.3 
.66,0 
166,6 
167,3 
168.0 
168.6 

s 


i3 
14 
i5 

52 


15.8 
16.6 
17.4 
iS.i 

|! 


i3 
■4 
i5 

.5 
16 

iB 

■9 


8 
4 

7 

4 
4 


81 

81 

83 
84 
85 

87 
88 
89 
90 


6. 
61 

63 

63 
64 
64 
55 
66 
67 
67 


t 

4 

9 

7 

4 
9 


53 
53 

li 

55 
56 
5? 
57 
58 


8 
5 

6 
4 

4 


Ml 
4> 
43 
44 
45 
46 
47 
48 

^5^ 


106 
107 

109 


4 
9 

4 
9 

5 


9% 
93 
93 

1 

97 

5 


5 
5 

4 

8 

4 


o3 
04 
o5 
06 

08 
09 


i53!5 
i53.J 
.54.0 
.54.7 
i55.5 
i56.a 

iii 


i33.i 
133.8 
i34,5 
i35,i 
l35,B 
136.5 
137.1 
137,8 


36, 

63 
63 
64 
65 
66 
67 
68 
69 


197.0 
197,7 

.199,3 
aoo,8 

30I.5 
303,3 

ao3.o 
3o3,8 


1 
ill 

175,8 
.76.5 
177.1 


33 
34 
35 
36 

u 

39 

4o 


i4^ 

.6.4 


S3 

33 

34 
34 

i5 

36 


J 

6 

3 

6 
3 

I 


9' 

1 

p 

99 


69 

73 

73 
74 
74 
75 


7 

4 
9 
5 

i 


60 
61 
61 

63 

63 
63 

64 
64 
65 


4 

3 

6 
3 

t 


53 

53 
54 
55 

56 

u 


n6 
"7 

"9 


5 

i 

8 


99 
99 

io3 
io3 


7 
4 

3 

i 


j3 
i4 
i5 
16 

\l 
'9 


1^9.3 

160.0 

160.8 
161.5 

j6j.3 
i63.o 
■63.8 
.64.5 
165.3 
166.0 


,38,4 
139,1 
139.7 
l4o,4 
i4i,i 
141.7 
i4=.4 

i43,o 

143,7 
.44.3 


37. 
73 
73 
74 

i 

78 


304.5 
305.3 

306^8 
307,5 
106.3 
109,1 
309,8 
a 10.6 

311,3 


.77,8 
1784 
1791 
179.8 
.854 
181 .1 

.834 
.83,0 
■ B3.7 


4r 
41 

43 
44 
45 
46 
47 
48 


30.9 

3i.7 
31.5 
33. J 
34.0 
34.7 
35.5 
36.1 
37.0 
37.7 


11 
38 

3o 
3r 
3i 

33 


1 

i 

8 
5 

8 


o3 

06 

08 
09 


76 
77 

78 

80 
81 
83 
83 


5 

8 
5 
3 


66 
66 
67 
68 
68 
69 
70 


i 


,6. 
6] 
63 
64 
C5 
66 

S 

«9 


133 

ii3 

134 

136 
136 

138 


3 

8 
5 
3 

3 
5 
3 


io5 
106 
J06 

W, 

loS 
109 


b 
3 

I 
I 
I 


=3 

i5 
=6 

3^ 

It 


ib6.b 

;£! 

173.8 
173.6 


.45.0 
i45,6 
146.3 
147.0 
147,6 
148.3 

;» 

l5o,3 

r5o,9 


i8i 
81 
83 
84 

86 
87 
88 
89 
90 


3i36 

314.3 
3l5,l 

ai5.8 
316.6 

3174 


i85,o 
1B5.7 
186,3 
187.0 

ISSJ 

ill 


5» 
53 
54 
55 
56 
57 
58 


III 
40.8 
41.5 
43.3 
43.0 
43.8 
44.5 
45.3 


34 
34 
35 
36 
36 

U 

38 
39 


5 

S 
4 

4 

4 


I3 
14 
i5 
16 

18 
'9 


84 
85 
86 
86 
87 
88 

s? 

90 


H 
5 
3 

8 
5 
3 

8 
6 


73 
74 
74 

78 
78 


8 
5 

8 
4 

4 


'71 

74 

V. 


"9 

III 
i3i 
i3i 

l33 

.33 
i34 
i35 
i35 


8 
6 
3 

6 
3 

8 


m3 
ii4 
"4 
ii5 
116 
n6 


5 

8 

5 

8 
4 


33l 
33 

33 
34 
35 
36 
37 
38 


.74.3 

175.1 

175.8 
176.6 

178.1 

.78.9 

179-b 
,8^.4 
181.1 


i5i,5 

l53.3 
153.0 

i53,? 
i54,i 
■ 54.8 
i55,5 
i56,i 
1 56.8 
,57.5 


391 

% 

3oo 


1.9.6 

130.4 

3334 
134.1 

114,9 

3364 


190.0 
193;! 

,?5.5 

,?6.e 


Ulu. 


IKp. 


LaL 


Diit 


Dep. 


I^. 


KOJ D.p. 


Lw. 


Dim 


Dep. 


U(. 


Di>l 


Dep. 


L>1. 


[For 49 Dcgieaa. | 



ny Google 



'f »J TABLE IL 

Difference of Latitude &ad I>eparture for 43 Degrees. 


DiM. 


Lm.' 


Dep. 


Diit. 


Lai. 


Dep. 


D.S. 


I,»i. 


D^. 


Ditt. 


L«t. 


Dep. 


Dill, 


Lm. 


Dcp. 




Oils 

IV.l 

q3.7 
04.5 
o5.3 

07^4 


o4 
o4 
o5 
06 
06 


I 

I 
I 

7 


6. 
63 
63 
64 
65 
66 
67 
68 
69 
70 


45.3 
46.1 
46.8 

Hi 

49 -o 

49.8 

5S.5 
5i.3 
53.0 


4i 

43 

43 
43 
44 
44 
45 
46 
46 


S 

5 

5 

S 
5 

8 


33 
34 

i5 
36 

11 


89 
90 
9' 
9' 

8 


9 

7 

4 

? 

4 

i 


81 
8. 
83 
83 
83 
84 
85 
85 
86 
87 


> 
3 

3 

j 
3 


8a 
83 

84 
85 
86 
87 

89 
9° 


iJ4.!i 
135.3 
J36.0 
J 36.7 
i37.5 
i38.a 
.39.0 

lil 

l4l.3 


131.5 
133.1 

ia3.8 
.34.5 

.35.1 

ii5,8 
136.5 
137.1 


a4. 
4a 
43 

46 
% 

53 
53 
54 
55 

56 
57 
58 

i2 


180 6 
,8, .3 

■ 83!8 
.83.6 
.84.3 
.85,0 
i85.8 
,86.5 
187.3 
188.0 
188.B 
.895 
.90.3 
191.0 
.91.7 
.93.5 
.93.3 


161.9 

i63.3 
163-9 

,64.6 
.65.3 
.65.9 

i66£ 
1673 

-^68:^ 

16S.6 
,69.3 

■B 

.73.3 
.74.0 




oB.i 
08.9 

Wi 

i3.4 
i4.i 
14.9 


08 
09 

i3 


4 

7 
4 

3 

4 


i 

74 
75 
76 

7e 

J? 


53.5 
54.3 
55.0 

11:1 
U-.1 

58.7 
59.5 


47 
48 
48 

g 

5o 
Si 

53 

5a 
53 


8 
5 

I 

I 


■ 3. 

33 

33 
34 
35 

36 
37 

39 
40 


99 

io3 

104 


4 
s 

6 
3 

8 
6 
3 


88 

SI 

90 
9' 
9" 

'i 


3 

i 

3 


191 

t 

99 


;i;:? 

M3.4 
144.3 
144.9 
145.7 
1464 
147.1 


118.5 
139.1 
,29.8 
,3o.5 
.3i.. 
i3i.8 
i3a.5 
i33.a 
.33.8 


33 

18 


,6.3 

M 

.9.3 

3o!6 

91.6 

aa.3 


•4 

14 
i5 

16 
iG 

;? 

iB 

'9 


i 

4 

7 
4 


8. 
81 

83 
84 
85 
86 

11 
89 

90 


6= .4 
63.3 
63.9 
64.? 
65.4 
66.1 
66.9 


54 
54 
55 
56 
56 
57 
58 
58 


t 
I 
l 


i4i 

43 

43 

44 
45 
46 
47 
48 


104 
io5 
106 

107 

\^ 

'°9 


5 

3 

3 
5 

5 


^1 
97 

99 

99 


4 

7 
4 

4 


o3 
04 
o5 
06 

3 

09 


:g:; 

S:l 

,53.3 
]-53., 
i53.8 
,54.6 
i55.3 
i56.i 


.34.5 

.35.1 
i35.8 
i36.5 
.37.a 
,37.8 
.38.5 

;i;j 

,40.5 


36. 

61 

63 
64 
65 
66 

S 

69 


194^ 
194.7 
1954 
.56.1 
196-9 
.97.7 
1^84 
199.3 

;S:2 


174.6 
.75.3 
176.0 
176.7 
177-3 
.78.0 

i8<)-a 
180-7 


3. 
3a 

33 
34 
35 
36 

II 

39 

40 


33!e 
=4.5 
a5.3 
j6.o 
=6.8 
17.5 
1S.9 
19.0 
=9. 7 


33 

=4 
34 

i5 
=6 
36 


7 
4 

8 

4 

S 
4 

8 


96 

99 


67.6 

69!, 
69.9 

7l!3 
73.. 
73. 8 
73.6 
74.3 


60 
61 
63 
63 
63 
64 
64 
6S 
66 
66 


I 
I 

I 

9 


i5i 

53 

53 
54 
55 
56 
57 
58 


Ii3 

m3 

Hi 

ii5 
ii5 
116 

lie 

iiB 


4 
9 
4 
9 


!o3 
io3 
io4 
id5 
io5 
106 
1Q7 


4 
4 

4 


i3 
i4 
i5 
16 

■8 
'9 


,56.8 
.57.5 
158.3 

.59.0 
.5?.B 

161.3 
163.0 


l4).3 

141.9 

I4a.5 

.43.3 
.43.0 
i44.5 
145.1 
.45.9 
146.5 

,47.3 


=71 

I 

78 


1014 

3o44 
aoS.i 
305-9 
106.6 


.8..3 
.81.0 
,81.7 
.83-3 
184.0 
184.7 
1 85.3 

186:7 
1874 


4i 
41 
43 
44 
45 
46 


3l.3 

32.0 

33.7 

33.4 
34.3 
^49 
35.? 
36.4 
37-9 


37 

38 

38 

z 

3o 
3i 

33 

3i 
33 


4 

8 
4 

4 

6 

5 


o3 
04 
□5 
06 

t>S 
09 


7b.. 
75.8 

ti 


66 
69 
70 

73 
73 



3 

1 

3 

1 

3 

1 


6a 
63 
64 
65 
66 
67 
68 
"9 


119 

T33 
,34 
.34 
135 
[36 


6 

4 

t 

4 

8 
6 

3 


107 
108 
109 

109 

ir3 
it3 


4 

7 
4 

4 
8 


33 

34 

35 

a6 
a8 


,65.7 
.66.5 
.67-5 
,68.0 
,68,7 

170.9 


147.9 

I48.S 
.49.3 

\n 

.5..1 

i5i.9 
,51.6 
,53.1 
,53,9 


83 

63 

84 
85 

86 
87 
88 
89 
9° 
191 

Sb 

1 

96 

22 


ao8.8 
109.6 
a 10.3 

31, !8 
3.3.5 

a. 3.3 

1,4-f. 
1.4.8 
1.5.5 


.88-0 
.88.7 
.894 
.90.0 
.90.7 
19.4 
193.0 

194.0 


5= 
53 
54 

56 

U 


iu 

39.4 
40.1 

f.:t 

43.8 
44.6 


34 
34 
35 
36 
36 

IS 

38 


8 

5 

8 

5 

8 
5 


w 

i4 
i5 

16 

18 


83.3 

85.5 
86. 2 

K:? 

88.4 
89.= 


74 

'i 

77 

;.' 

79 


1 

3 

6 
3 

6 

3 


73 

li 
76 

78 

to 


137 

;g 

r3o 
i3r 

■ 33 

i33 

■ 33 


6 
3 

8 

5 
3 

e 


ii4 
tt5 

Tl5 

i>6 

117 
118 
119 
"5 


4 

8 
4 

B 
4 

8 
4 


33l 

3a 
33 
34 
35 
35 
37 
38 


I7a'4 
173.a 
,73.9 
174.6 
175.4 
176.1 

\ti 

178.4 


,54.6 
.55.1 
,55.9 
.56.6 
i57.a 

;si 

,5,.3 

iS:2 


116.3 
3.7.0 

1.9.1 

aa,;? 


ill 

100.7 


L>1. 


Disi 


Dep- 


IM. 


l>lsi.| Deo. 


La> 


Disi 


Dtp, 


LoL 


Uisi 


Dep. 


Lst. 


[For 48 D.^™.* 1 



ny Google 





















Disi 


Lat. 


D«p. 


Di...| L.t 


Dep. 


Disi 


Lat. 


Dep. 


KsL 


Ul. 


Dtp. 


341 
4a 
43 
44 
45 
46 
47 

i 


LbI. 

.76.3 
177.0 

i79.a 

18. .4 
18a. 1 

,83.8 


Dep. 


3 
4 
5 
6 

8 
9 


o3 
04 
o5 
o5 
o6 




Q0.7 
01.4 

o3.4 
04.1 

04.8 
o5.5 
06.1 
u6.8 


6a 
63 
64 
65 
66 
67 
68 
69 
70 


44 
45 
46 
46 
47 
48 

1 

5. 


6 
3 

e 
5 
3 

i 


4i 
4a 
43 
43 
44 
45 
45 
46 
47 
47 


6 
3 

6 
3 

4 

7 


a3 
a4 

35 

a6 
a8 


88 
89 
90 
90 
9' 
9a 

9^ 
93 

95 


5 

7 
4 

9 
3 


83 
83 
84 
85 
85 
fc6 
87 


5 
9 

6 
3 


181 
6a 
83 
84 
85 
86 
87 

89 
90 


.3a^ 

■ 33.1 
133.8 
134-6 

■ 35. J 
.36.(1 
.36.8 
137.5 
.38.. 
,39.1. 


■ a4.. 

1=4,8 

■ a5.5 

■ a6.a 

■ a6.9 
157.5 
138.:. 
,a8.9 
.aq,^ 


164.^ 
■65.( 
.65-1 
■66.J 

167.. 
167.6 
168-; 

Zi 

170-5 


i3 

i6 

i6 

'9 


oS 
o8 
09 




08. > 

^! 

ia.3 

i3.o 
[3.6 


73 
74 
75 
76 


5i 
5a 
53 
54 
54 
55 
56 
57 
57 
58 


9 

4 

t 

3 

8 
5 


48 

1 

5, 
5i 
5a 
53 
53 
54 


4 

8 
5 

8 
5 

9 


,3, 
3a 
33 
34 
35 
36 
37 
38 

i 


95 
96 

i 

9S 


8 
5 

5 
9 

7 
4 


By 
90 
V> 
9' 
9a 
ya 

95 


3 

4 

8 
4 

8 

5 


191 
9= 
93 

It 

?s 

99 

o3 
o4 
t>5 
06 

08 
"9 


l4l a 

143.3 
144.T 

144.8 
.45.5 
.46.3 


■ 3. .6 
.33.3 
.33.0 

■ 33.7 

■ 34,4 
i35,o 
.35,7 
136.4 


35, 

5a 
53 
54 
55 
56 


i83.6 
184.3 
i85.o 
i85,8 
T86.5 
187.3 

189:4 


171-a 

173.. 

.75.3 

I76.t 
.76.e 
177.3 


11 

34 

iS 
a6 

"37 
3i 
33 

34 
35 
36 

II 

39 
4o 






i4.3 
r5.o 
i5.7 
,6.4 

i8'4 

ao.S 


81 
8a 
83 
84 
85 
86 
87 
88 
89 
9" 


61 

63 

64 
65 
65 


4 

I 

4 
6 


55 
56 
57 
58 
58 

6c 
61 


i 

3 

3 
4 


4a 
43 
44 
45 
46 
4" 
48 

S 


i<)3 
io3 
io4 
iu5 
iu6 
ii>6 

luS 

109 


9 
6 
3 

8 
5 

a 

7 


99 


5 

I 

3 
3 


■ 47" 
■47.7 
148,5 
149.S 
149.9 

;is 

i5a.. 

i^3;^ 


139.1 

.3^.8 
140.5 

i4.!9 
i4a.S 
143.3 


a6i 
6a 
63 
64 
65 
66 
67 
68 
69 


190.0 
19.. 6 
193.3 
193.1 
1^.8 
194.5 
.95.3 

196.7 
■97.5 


178-c 
178.7 
.-9-4 
180.0 
■ 80.7 

163:5 
184.1 


s3 
s4 
s4 

35 

]6 

38 
?9 




a3.i 

3:1 

15. a 

Ji:l 

37,3 


91 
91 
93 

i 

97 
98 
99 


66 
67 

68 
69 
70 

73 


3 

9 
4 


63 
6a 
63 
64 
64 
65 
66 
66 
67 


4 

8 
5 

5 


i5i 
5a 
53 
54 
55 
50 

U 


m3 

114 
m5 

116 

'■7 


4 

i 
4 

8 
6 
3 


io3 
104 
io5 
.o5 
106 
107 

I^ 
109 


3 

4 

8 
4 


i3 
14 
i5 
16 

\l 

'9 


■ 54.3 
i55.o 

■ 55.8 
i56.5 

■Mi 

;r,:2 

i6o.a 

l6<,.q 


■ 43,9 

■ 44.6 
■45.3 
■45.9 
146.6 

■48-7 


171 
?3 
It 

76 
?^ 
L' 

83 

83 
84 
85 
86 

ll 
89 
90 


198.3 
■ 98.9 

'ii 

ao3.3 

304.0 

304.8 


i84.a 

i85,5 
i86.a 
186.9 
1B7.5 

Ibb:, 
189-b 

.90.3 


4' 
4a 
43 
44 
45 
46 
47 
48 

g 


3o 
3i 

3a 
3a 

33 
34 
35 
35 
36 




3B.6 

B:^ 

3o.7 
3i.4 
3i.i 
3a. 7 
33.4 
34.1 


o3 
04 
cA 
06 

08 
09 


73 
74 

75 
76 
76 

78 
79 


I 

3 

8 
5 
3 

7 
4 


69 

1 
It 


I 
I 

3 
3 


i6( 
6a 
63 
64 
65 
66 
67 

1 


117 

lie 
119 

119 

1^3 

Ja4 


I 

9 
4 

i 

3 


109 

it3 
■ 13 
m4 
m5 
ii5 


B 
5 

6 
5 

I 
3 

9 


a3 

a4 

35 

j6 
27 
a8 


161.6 
■6a .4 
■63.1 
■63.8 
■64.6 
.65.3 
166.0 
.66.7 
167.5 
168,3 


;S:J 

■ 5], I 

■ 5a,8 
i53.4 
.54.1 

■ 54.8 

■ 55.5 
,56.a 
.56.9 


306.3 

307.7 

3084 

309.a 

17^8 
31 3.6 

B 

317.9 
3,9:4 


■91,6 
.93.3 
.93.0 
,93.7 
194.4 

'95-' 


6i 
5i 
53 

£4 
55 
56 
57 
5S 


38 

i 

4i 
4i 

43 

43 




34 .H 
35.5 
36.. 
36.8 
37.5 
38.1 
38 .0 

g:! 

40.9 


i3 
■ 4 
i5 
16 

\l 
'9 


8a 
83 
84 
84 
85 
£6 
87 
87 


I 

4 

8 
6 
3 

8 


3 

77 

11 

79 

il 

81 
Bi 


4 

4 

8 
5 

8 


■71 

]l 

74 

75 
76 

78 

D.<1. 


lib 
ij5 
1=6 

116 

i3o 
i3i 


8 

5 
3 

4 

l 


116 

;;i 

■ 19 


6 
3 

3 

4 
8 


3) 
33 
34 
35 
36 
37 
38 
39 
40 


.68.9 
169-7 

■ 70,4 

173.3 
■74.T 
174-8 

■75.5 


.57.5 
l58.a 

?it 

160.3 
161-0 
161.6 
[6a.3 
(63x> 
i63.7 


391 

i 

3S 


„»i.5 
199.1 

B 

303!3 

1^4% 


Dist, 


IVp. 


I.HI. 


l)i-i 


n.p 


IM. 


!>[.. 


(,fli. 


lli«l. 


D.P. l-aT. 


Oisl. Uep. 


Lai. 


[For 47 Dtgff. 



ny Google 



fw«l TABLE 11. 

Difference of Latitude and Departure for 44 Degree* 


Dili 


L»l. 


Dep. 


Dill 


t.t. 


Dep. 


Di>i. 


L.,. 


,Dep. 


Dl>i. 


L«i. 


D.p. 


Dili 


Lu. 


top. 


3 
4 
5 
6 

I 

9 


Q0.7 

01.4 

i;i 

o4.3 
o5.o 
o5.6 
o6.5 
07.1 


o3 
04 
04 
o5 
06 
06 




61 

C3 
64 
65 
66 
67 
68 
69 
70 


43. 9 
44.6 
45.3 
46.0 
46.8 
47.5 
48. 1 

ill 
56.4 


43 
43 
43 
44 
45 
45 
46 
47 
47 




33 

34 

35 

36 

i 


90 
9' 
93 


8 
5 

l 
4 

8 

5 


64 

f^ 

86 
86 
87 
88 
88 
89 


7 
4 

8 
5 

i 

3 


181 

83 

83 
84 
65 
86 
87 
88 
89 
90 


i3o.3 

i33.4 
i33.i 
133.8 
i34,5 
i35.3 
i36.o 
i36.7 


135-7 
136.4 

139.3 

■3 1.3 
.33.0 


341 

46 
47 
48 


173-4 

1 

176-3 
177.0 

\Ui 


i'^-.4 

!68',8 
169.5 

170.3 

173-3 
,73.0 
173-7 


i3 

i4 
i5 

\l 

'9 


ii.S 

iii 


08 
09 
09 

.3 




73 
73 

i 


bi.i 

5i.8 
53.5 
53.3 
54.0 

n-i 

56,1 
55,8 
57.5 


g 

5o 
5i 

53 
53 

53 
54 
.54 
55 


1 


[3i 

33 

33 
34 
35 
36 
37 
38 

i 


1 

97 
99 


7 

4 

8 
5 
3 


91 
91 

93 

1 

97 


7 

4 

6 
5 

i 

3 


191 
99 


.J7.4 
i38.i 
i3B.B 
.39.6 
140.3 
i4i.o 
141.7 
143.4 
143.1 
.43.9 


133.7 
i334 
1 34.1 
134.8 
i35.5 
i36.3 
1.36.8 

138.9 


361 

53 

53 
54 
55 
56 
57 
58 

S 


18T.3 
183JJ 

i8)-7 
.834 

.84-3 

164.9 
|85£ 
,66.3 
[B7-0 


174.4 
175 1 
.75.7 
176-4 

l7>8 

179.3 


i3 


16.5 
17.3 
18.0 
18.7 


i4 
i5 
16 

r6 

18 
iB 
'9 




81 
83 

87 
89 

9" 


1S5 

6.1.4 
61. 1 
61.9 
63.6 
63.3 
64.0 
64.7 


36 

u 

58 

i 

61 

6. 
63 


43 

44 
45 
46 
47 


io3 
104 
io5 
io5 
■ 06 


I 
3 

5 
9 


99 

UK 

iu4 


3 
4 

8 
5 


T3 
04 
05 
06 

08 
09 


144.6 
■45.3 
146-0 
146.7 
147-5 

,48.3 

ti 

i5..i 


iJ9.e 
140.3 
i4i.o 
141.7 
>43.4 
143.1 
i43.8 
144.5 
i45.a 
145.9 


3b t 
63 

63 
64 
65 
66 
67 
68 
69 
70 


187-7 
188.5 
,69.3 
,89.9 

,91:3 

1^3.5 
194.3 


183.0 

:',ii 

i85.5 
186.3 
166.9 
187.6 


33 

33 

34 
35 

36 


13 ;« 

55.3 
25.0 
16.6 

18.8 


j3 

34 

a5 

35 

]6 




91 
95 

?^ 

99 


66.3 
66.9 

S:l 

69.1 

r. 

71.9 


63 
63 
64 
65 
66 
66 
67 
68 

73 
73 

74 
75 
75 
76 


1 


■ 5. 

53 

53 

54 
55 
56 

u 
i\ 

167 

63 
64 
65 
66 
67 
68 
69 


.,09 

i[3 
1.4 

■ i5 
775" 

116 

iiS 

118 

■ 19 


6 
3 

E 

5 

9 

7 
4 

5 
3 

4 

8 
6 
3 


.04 

i(,5 
u« 
107 

;s 

109 
109 

ii3 
ii3 

it4 
1(5 
n6 
[16 


1 

3 

7 

4 

5 

T 
5 

i 

3 

4 


i3 
i4 

i5 

16 

18 

'•) 

]3 
»4 
35 

39 

'^ 
I' 


i53.5 
i53.i 

:a? 

155-J 
.56.1 
i56.8 
157.5 
i58.3 

•Mi 

161. 1 
.6..0 
163-6 
163.3 

164.0 
164.7 
165.4 


147-3 
i4a.a 
148-7 

'.ti 

\r.-i 

■ 53.1 

l53.8 

7533- 

154.3 

■Ml 

.56.3 
i57.o 
157.7 
i58,4 


371 
73 
73 

1 

i 

83 

83 
84 
85 
86 
87 
86 
89 
90 


194-9 

IS 
1971 

;^':? 

199.3 

Bi 

3o4.3 

3o5.0 

?i 

107-? 
306.6 


188.3 
188.9 
189.2 
1903 
191.0 
191-7 
.934 
193.1 
193.8 
.^.5 
.95.3 

\$l 
197.3 

'99-4 

301).8 
301.5 


4i 

43 

43 
44 
45 
46 


11:5 

35.4 
33. t 
33,8 

Hi 

36.0 


i 

33 
33 




o3 

06 
09 


74,1 
74.8 
75.5 
76.3 
77.<, 

78)4 
79-' 


53 
54 

56 


36.7 

r. 

38.8 

Jl:S 

41.0 
41.7 
45.4 
43. J 


35 

36 
37 
38 
38 

t 
41 


3 

7 


i3 
14 
i5 
.6 

18 
>9 


79.8 

eS.6 
B1.3 
83.0 
83.7 

86.3 


78 
79 

Si 

81 
83 




73 
74 
75 
76 

79 
80 


133 
134 
135 
135 

136 

3 

lie 


7 

4 

3 

8 
5 


119 

I33 

■ 33 

134 
135 


5 

i 

3 

6 

3 


33 

33 
34 
35 
36 

U 

4" 


166.9 
167.6 
16B.3 
169.0 

170.5 

.7l-» 


160.5 

161 .3 
161.0 

163 £ 
.63.1 
163.0 
164.6 
165.3 
166.0 
166.7 


391 

1 

P 


3.o'.6 

MI.5 
113.1 

Wll 

114.4 
ii5.i 
115.8 


304.3 

3o4-9 

3o5£ 
306.3 

307.0 

Si 


Dlii. 


l><-|.. 




Di!i 1 l»cp. 


l,al. 


Ulii.l Dfp. 


..a.. 


Di.l. 


top. 


IM. 


DiM 


top. 


LU. 


[Fw46D«gTMi. 1 



ny Google 



TABLE H. [i^" 
DiffereDoe of Latitude and Dep&rUira for 45 Degrees. 


Dut 


L«U 


Dep. 


UisL 


Lat. 


D.P. 


DiU 


Lai. 


Dq.. 


Dill. 


Lai. 


D<p. 


Dill. 


lj». 


rte|>. 


3 
4 
5 

6 
7 
8 
9 


00.7 
\i..4 

oils 
o3,S 
04. a 

^:; 

06,4 


o3 

□4 
04 
o5 
06 


4 

8 
5 

9 

7 

4 


6] 

63 
64 
65 
66 
67 
68 
69 
70 


43 
43 
44 
45 
46 
46 

il 

48 
4<) 


8 
5 
3 

4 

8 
5 


43.; 
43,8 
44.5 
45.3 
46.0 
46.7 
47-4 
48,1 
48.8 
495 


33 

14 

35 

36 
11 
It 


86 
87 
87 
88 

1? 

90 

9' 
9' 


3 

4 

8 

5 

9 


8S.6 
86.3 
B7.0 

K 
.11 

90.5 

91,3 
91.9 


S3 

83 

84 
85 
86 

5? 

89 
90 


,i8.« 
rl8.7 

;^:f 

i3d.8 
i3i.5 

l33.3 

.31.0 
.33.6 
134.4 


..8,, 

;B:f 

i3o.8 
.3i,5 

l3l.3 

i3i.9 
133.6 
i34-) 


141 
41 
43 
44 
45 
46 
4? 
48 

S 


.70 

.71 

ii 

173 
174 
■75 
176 
176 


4 

8 

5 

9 
4 
8 


I704 

173.1 

173.9 
(74.7 
.754 
.76.1 
176.8 


I3 
M 
.5 
16 

iS 
'9 


08^5 
09. J 
09.9 
ro.6 
n.3 

13^4 
i4.i 


08 
09 
ov 

i3 
■ 4 


8 
5 

i 

3 

4 


71 
73 

i 

78 


bo 
5o 
5. 
5i 
53 
53 
54 
55 
55 
56 


1 

3 
4 
I 


53.3 
53.0 
53.7 

Hi 
'it 


33 

33 
34 
35 
36 
37 
38 

i 


1 

99 


6 
3 

8 
5 

i 

3 


93.6 
93.3 
94.0 
94-8 

96.9 

99.0 


191 

96 
98 
99 

o3 

o5 
06 

08 
09 


i35.8 
.36.5 
.37.1 

.39.3 
140:7 

i4i.4 


135.1 
i35.8 
.36,5 

,38.6 
,39.3 
140.0 
.40-7 

i4t.4 


i5. 
5i 
53 
54 
55 
56 
57 
58 


178 
178 

V^ 
181 
181 
183 

,83 
,83 


5 

t 
3 

4 


l78!i 

is 

IBI.O 

.83.1 
.83.8 


a3 

18 
12 


,4.8 
i5.6 
1S.3 
17.0 

if! 


14 
i5 
16 

ii 

'9 
'9 


6 
3 

7 

4 

8 
5 


81 

83 
84 
85 

i 

89 
90 


58 
58 

60 
61 
63 
63 
63 


4 

8 
5 

i 


57.3 
58.0 
56-7 
59.4 
bo.i 
60.8 
61.5 

61.3 

63.6 


43 
43 
44 
45 

46 
47 
48 


99 

!o3 
io3 
104 
io5 
106 


4 

8 
5 

9 

4 


99-7 
1004 

SoSia 

ioa.5 
io3.i 
[03.9 
[04.7 
105.4 
.06.1 


i4i.. 
141.8 
143.5 
.44.3 
145.0 
145.7 
.46.4 
.47,1 
147.8 
148.5 


141.1 

143^5 
i44.a 
145.0 
:45,7 
146.4 
■ 47.' 
147.8 
.48,5 


61 
63 
64 
65 
66 

S 

Ii9 


,84 
i85 
186 
186 
187 
,88 
188 
189 
.90 


3 

4 

8 
5 

9 


.84,6 
.85.3 
.S6,u 
186.7 
.87,4 
.88.1 
188,8 
.89,5 
.90.1 
,90.9 


33 

34 
35 

36 
37 
38 

4^ 


i3,3 

M.7 
55.5 

=6.3 


33 
34 

>4 

35 

36 

36 

17 

38 


1 

3 

5 

3 


9" 

i 

99 


64 
65 
65 
66 

68 

69 
70 
70 


3 

8 

5 

i 
3 

7 


64.3 
65.1 
65.8 
66.5 
67.3 

^l 
69.3 

70.0 


53 

53 
54 
55 
56 


to5 

108 
109 

!I3 


5 

I 
3 

7 

4 


107.5 
108.3 

ii 

111,7 

■ 13.4 

tl3.i 


,'3 
14 
i5 
16 

n 

iB 
'9 


:ii 

i5i.3 

l53.0 

153.7 
153.4 
i54.. 
154.9 
155.6 


ili 

i5i,3 

l53.0 

i5l.7 
.53.4 
154.1 
154.9 
i55,6 


=71 

11 
74 

75 
76 

78 

It 

iBi 
83 
83 
84 
85 
86 
87 

89 
90 


191 
.91 
■ 93 
193 

1 

;^ 
198 
199 

io3 
ao4 
io5 


6 
3 

5 

I 
3 

4 

8 
5 

I 
4 


19,. 6 
,93.3 
,93.0 
193.7 

i?4.5 
,95.3 

■If 

3or5 

104.4 
jo5.. 


4> 

4a 
43 

44 
45 
46 

47 

48 

g 


i;i 

3i.i 
3t.8 
31.5 
33. a 
33.9 
34.6 
35.4 


39 

3i 
3i 

33 

33 
33 
34 
35 


4 

8 

5 

i 

4 


o3 
04 
o5 
o5 

08 
09 


7' 
7" 

i 


4 

5 

7 
4 


7>-4 

75.0 
75.7 
76.4 

Hi 


lb, 
63 
63 
64 
65 
66 
67 
68 
69 


m3 

■M 

I [6 
u6 

mB 
it8 
"9 


8 
6 
3 

4 

8 
5 


1.5.3 
116.0 
1.6.7 
l<74 

i.e.i 
.18,8 

IJ9-5 


i3 
14 
i5 
16 

Z 


157.7 
i58.4 

:%:', 

i6i;.5 
16. .3 
161. 9 
161.6 


.56.3 
157.0 

Si 

\%i 

166.5 

.61.9 
165,6 


S3 

53 
54 
55 
56 

U 
2 


36.8 
37.5 

38.3 

II 

41 !o 
41.7 

4i-4 


36 

36 
37 
38 
38 

1 

4> 

4i 
43 


8 

5 

i 
3 

4 


t3 
■4 

iS 
16 

\l 
19 

30 


78 
79 

81 
83 
83 

83 
84 
84 


5 

I 

3 

7 
4 

9 


78.5 
79.3 

81 J 

8=.o 
83.7 
63^ 
84.1 
84-9 


74 
75 
76 

]l 

2 


ii3 
.i3 

134 
135 
135 

:3e 

137 


1 

3 

i 
i 

3 


111,3 
ii3.o 
113.7 
114.5 

135.3 

;a 

.17.3 


i3. 

33 

33 
34 

S 

37 
38 
39 
40 


163.3 
164.0 
164.8 
i65.5 
166. a 
166.0 


i63.3 

164.0 
164.8 

165,5 
166.1 
i66.g 
167.6 

169.0 
169,7 


391 

1 

98 

3I? 


ioi> 
306 
307 

308 
309 


5 

i 

3 

4 

■ 


106 5 
3071 

joSie 
11. 14 


D^ 


D^ 


L^, 


Din. 


_Da^J 


^■>- 


Dbl 


D^. 


Ut. 


P»L 


D.P. 


Lai. 


Dill. 


1),-,, 


Lai. 



ny Google 



riv*aq 




TABLE III. 


"■ 1 


M 


(f 


1" 


2' 


3° 


4" 


S» 


e» 


70 


8" 


IT" 


10= 


U" 


ia° 


i:f 


M. 




~fe" 


IW 


"^ 


i4o 


-fcT 


"36r 


4a. 


'481 


^47 


■S5- 


■667 


7j5 


787 






61 




■8[ 


Ml 


3o. 


363 


433 


483 


543 


6o4 


665 


736 


788 








6a 




181 


Mi 


303 


363 


433 


484 


544 


6o5 


666 




789 




3 


3 


63 


ia3 


■83 


343 


3o3 


364 


434 


485 


545 


606 


667 


738 


790 


3 


4 
-5 


4 


64 


114 


184 


344 


3o4 


365 


435 


486 


546 


607 


668 


739 


J9!_ 


4 

5 




~6r 




"TbT 


"mT 


"3rf" 


"36r 


-4^ 


187 


"547 


&^ 


"667 


isr 


79' 




S 


66 


]]6 


■ B6 


346 


3o6 


367 


437 


488 


548 


609 




73, 


793 


6 




7 


67 


117 


i87 


347 


3o7 


368 


438 


489 


549 


616 


67. 


733 


754 




8 


S 


68. 


iiS 


188 


348 


3o8 


309 


439 


49S 


55^ 


61J 


61 


734 


795 




_9 


9 


69 


"9 


,89 


M9_ 


3o9 


370 


43o 


49- 


55. 


6,3 


6-,3 


735 


796 


_9 




70 


^35- 


190 


l5^ 


-373- 


37. 


43i 


493 


553 


'677 


674 


"736 








71 


i3i 


191 


35. 


3ii 


373 


433 


493 


553 


6,4 


675 


737 


798 








7a 


[3= 


191 


353 


3.3 


373 


433 


494 


554 


6,5 


676 


738 


799 




■ 3 


i3 


73 


i33 


193 


353 


3.3 


374 


434 


495 


555 


6,6 


677 


739 


&00 


i3 


14 
75 


14 


_74_ 


J3i 


J9L 


»54 


3,4 


375 


435 


4^6 


556 


617 


678 


74!^ 


Ho. 


,4 
75 


""TT 


7S 


735- 


.95 


"3-5r 


3.5 


1^ 


-43^ 


497 


^57 


6.8 


"6^ 


74 1 






16 


76 


[36 


196 


356 


3,6 


377 


437 


498 


558 


619 


680 


743 


&o3 


,6 








l37 


197 


357 


3,7 


378 


438 


499 


559 


6ao 


68. 


743 


8o4 




18 


■a 


78 


]38 


'98 


358 


3.8 


379 


439 


566 


566 


631 


633 


744 


8<.5 




12 


■9, 


79 


,39 


■99. 


359 


3.9 


3^ 


440 


5oi 


56, 


633 


683 


745 


806 


I? 




-&r 


i4o 




lEiT 


-373- 


TsT 


44. 


-5^ 


167 


-6^7 


-6«7 


-^ 


■837 






81 


i4i 




361 


33. 


363 


443 


5o3 


564 


634 


685 


747 


8u8 








8j 


i4i 




363 


33J 


383 


443 


5o4 


565 


6i5 


687 


748 


809 




a3 


a3 


83 


143 


ao3 


363 


3j3 


384 


444 


5<.5 


566 


636 


688 


749 


816 


33 


34 


94 


84 


■ 44 


JC.4 


364 


334 


385 


445 


5o6 


567 


637 


689 


75o 


8,1 


34 

35 


j5 




^^45" 


lo5 


"ST 


"3l5- 


386 


746- 


■507 


568 


"6jr 


-6^ 


157 


-87^ 


a6 


j6 


86 


■ 46 


306 


366 


336 


387 


447 


5o8 


569 


639 


ef. 


753 


8,3 




17 




87 


147 




367 


337 


388 


448 


5u9 


570 


631 


6?3 


753 


8.5 


37 


38 


a8 


88 


■ 48 


3o8 


368 


338 


389 


449 


5.0 


57. 


633 


693 


754 


816 


38 


19 

3o 


.'9 


89 


149 


.309 


369 


33o 


390 


45o 


5>. 


JZL 


633 


691 


755 


817 


39 
3^ 


TT 


90 


73^ 




J70 


33. 


391 


45i 


5.3 


^W 


634 


695 


756 


8.8 


3< 


3i 


9' 


i5i 




371 


333 


393 


453 


5.3 


574 


635 


6^6 


757 


819 


3] 


3i 


3i 


9J 


rSj 




173 


333 


393 


453 


5i4 


575 


636 


697 


758 




33 


33 


33 


93 


i53 


ai3 


373 


334 


394 


454 


5.5 


576 


637 


698 


759 




33 


3i 
35 


31 


94 


i54 


Ji4 


374 


335 


395 


455 


5.6 


-5ZL 


638 


699, 


760 




34 


.___ 


-^ 


"t55 




375 


"336" 


-1^ 


"456" 


"5T7 


^is 


-637 




76. 


"b^ 


3(i 


36 


96 


.56 


316 


376 


337 


397 


457 


5>8 


579 


64o 




763 


834 


36 


37 


37 


97 


i57 


117 


377 


338 


398 


458 


5.9 


58o 


64i 




763 


835 


37 


JB 


3B 


98 


.58 


3.8 


378 


339 


399 


459 


536 


58i 


643 


7o3 


764 


836 


38 




J5L 


99 


_i59_ 


119 


^79_ 


346 


400 


46i. 


5a 1 


583 


643 


704 


765 


837 


39 

40 


4o 




,60 




38<> 


34. 


401 


"46r 


-^T 


~m' 


^647 


1^ 


'W 


■aS" 




4' 




16] 




381 


343 


403 


461 


533 


584 


645 


706 


767 


839 


41 


45 


41 




161 




383 


343 


4o3 


463 


5a4 


585 


646 


707 


768 


836 


43 


43 


43 


io3 


i63 


133 


383 


344 


4o4 


464 


535 


586 


647 


708 


769 


83. 


43 


44 
45 


44 


iq4 


i64 


3 34 


384 


345 


4o5 


465 


536 


587 


648 


7°9 


770 


833 


44 
45 


"45 




~l6i 




-^ar 


-346- 


-456- 


"466" 


537 


588 


649 






833 


46 


46 


106 


m 


336 


386 


347 


407 


467 


53B 


589 


650 




773 


834 


46 


47 


47 


107 


167 


337 


387 


348 


408 


468 


539 


V 


65. 


713 


773 


835 


47 


48 


48 


108 


168 


3>8 


38B 


349 


409 


469 


53o 


59. 


653 


7.3 


774 


836 


48 


s 


49 


■09 


'69^ 


319 


389 


35o 


4io 


470 


53. 


J?' 


653 


714 


775 


837 


g 


■5^ 






33o 


190 


35. 


4ii 


47" 


533 


T^ 


"657 


7.5 


777 


838 


5i 


5i 




171 


33[ 


39. 


353 


411 


473 


533 


594 


655 


716 


778 


839 


5. 


ia 


S> 




]7» 


33l 


393 


353 


4.3 


473 


534 


595 


656 




779 


84o 


53 


53 


53 


i[3 


.73 


333 


393 


354 


4i4 


474 


535 


5^, 


657 


7,8 


786 


84. 


53 


54 
55 


54 


ii4 


174 


>34 


'9i 


355 


4.5 


476 


536 


_597 


658 


7'9 


78, 


843 


54 
55 


"55" 


"TTT 


175 


-i35- 


395 


"356- 


4i6 


477 


"537 


5^ 


"657 


730 


■^87 


"847 


56 


56 


1:6 


176 


336 


396 


357 


417 


478 


538 


599 


666 




783 


844 


56 


s- 


57 






337 


397 


358 


4.8 


479 


539 


666 


661 




784 


845 


57 


M 


58 


118 


■78 


a38 


3^8 


359 


419 


466 


540 


601 


653 


733 


785 


846 


58 


59 
M. 


5, 


-112. 


'79 


-!!?. 


'99 


J™. 


43^ 


48. 


541 


6o3 


663 


2!i 


786 


847 


52 

H. 


y 


l" 


HP 


's> 


4" 


5° 


6» 


T' 


8» 


9» 


,10° 


, 11° 


12° 


ly 



ny Google 



M. 


14= 


15» 


16° 


17" 


18° 


i9°|aQ° 


ai» 


38" 


33° 


24° 


25° 


26° 


27° 


M. 


'84r 


910 


973 


1^35" 


7^ 






778^ 


7354 


7419 


1484 


75sr 


i6>6 


1684 




85a 


911 


974 


36 


99 


63 


36 


9" 


55 




85 


5i 


18 


85 






S5i 


9.3 


^75 


37 




64 




91 


56 




66 


53 




86 




3 


853 


9.4 


976 


38 




65 


38 


93 


57 




87 


53 




87 


3 


4 
5 


853 


9-5 


_2ZI 


_i9 


03 


66 


— ^ 


_2i 


58 


33 


88 


54 


31 




4 

1 


'BJT 


916 


978 


i.Mi 


7733 


Tief 


T^fc 


..95 


755^ 


■ 434 


1490 


T536 


7377 


7«5" 


6 


855 


917 


979 


43 


o5 


68 


3i 


96 


60 


35 


9' 


57 


33 


90 


6 




856 


9,8 


98., 


43 


06 


69 


33 


97 


6. 


36 


93 


58 


34 


9' 




8 


BS7 


919 


981 


44 




70 


34 


98 


63 




93 


59 


35 


93 




-2 


85S 


_930_ 


J!«l 


45 


08 




35 


„9?. 


63 


j8 


94 


66 


36 


.^ 


^ 


-8l^ 


911 


983 


^346 


1109 




7i36 


,3oo 


T3W 


7433- 


L49; 


i56i 


r6i8 


.695 




B6o 


95J 


984 


47 




73 


37 




66 


3i 


96 


61 


39 


96 






S6i 


9=3 


985 


48 




74 


38 




67 


33 


97 


63 


:3o 


97 




i3 


863 


934 


?86 


49 




75 


39 


o3 


68 


33 


98 


64 


3i 




i3 


i4 
i5 


863 


935 


987, 


5o 


i3 


76 


4u 


04 


69 


34 




65 


33 


.99 


i4 
i5 


-864" 


IST 


'W 


1^57 


7ii4 




1341 


73^ 


73^ 


7435" 


75^ 


7557 


7633" 




i6 


865 


^l 


^ 


53 


i5 


78 


43 


06 




36 




68 


34 




16 




866 


99U 


53 


16 


79 


43 






37 


o3 


69 


35 


o3 




Is 


867 


939 


991 


54 


17 


ai 


44 


d8 


73 


38 


i>4 




37 


04 


18 


!? 


868 


930 


W3 


55 


18 


83 


45 


ro 


74 


39 


o5 


71 


38 


o5 


!2 


'86^ 


93, 


994 


7^ 


1119 


1)83 


1^ 




7375" 


■ 44<) 


"."566 


1577 


.639 


.706 




8^2 


^33 


995 


57 




84 


48 




76 


4i 




73 


4I 


f7 






871 


933 


996 


58 




85 


49 


■ 3 




43 


08 


74 


4i 






13 


873 


934 


997 


59 




86 


Si 


14 


79 


44 


09 


75 


43 


09 


33 




873 


935 


J^ 


66 


- 33 


87 


5] 


i5 


86 


45 




77 


43 




34 

73 


874 


936 


999 


"JSeT 




■ 188 




im 


7387 


7446 


TaTT 


.578 


7644 




i6 


875 


937 




63 


36 


89 


53 




81 


47 


■3 


79 


45 


i3 


36 




876 


933 




64 


37 


9° 


54 




83 


48 


■4 


86 


47 


■ 4 




38 


877 


939 




65 


38 


9" 


55 


19 


84 


49 


i5 


81 


46 


i5 


3S 


!9 

3o 


878 


94. 


o3 


66 


39 


91 


56 




85 


56 


16 


8s 


49 


16 


'i 


"e^ 


943 


ioo4 


7^ 


773^ 


.193 


7757 


"i'377 


7386 


liSi 


I5l7 


i583 


i65o 




3i 




943 


o5 


68 


3i 


94 


58 




87 


5a 


18 


84 


5i 


18 


3i 


3:1 


881 


944 


06 


69 


33 


95 


59 


34 


88 


53 


'9 


85 


53 




33 


33 


883 


945 


07 




33 


96 


66 


a5 


89 


55 




86 


53 




33 


34 
35 


884 


946 


oS 




34 


98 


6> 


36 


90 


56 




68 


54 




34 
35 


-bbT 


947 


1009 




7735- 


"99 


1767 


1337 


.393 


1457 


7577 


.589 


7656 




36 


886 


948 




73 


36 




64 


38 


93 


58 


34 


90 


57 


34 


36 


3? 


887 


949 




74 


37 




65 


39 


94 


59 


35 


9' 


58 


35 


37 


38 


888 


950 




75 


38 




66 


3o 


93 


6g 


36 


93 


59 


36 


38 


i 


889 


95, 


i3 


76 


39 


i)3 


67 


3i 


.96 


6. 




93 


60 


7779 


3? 


8^, 


953 


■|oi4 




ii4a 


1304 


7768 


i333 


J 397 


i46i 


W.W 


75^ 


7667 


4< 


89, 


953 


|5 


78 


41 


o5 


69 


33 


98 


63 


=9 


95 


6? 


3u 




4i 


8v» 


954 


16 


79 


41 


06 


70 


34 


99 


64 


3o 


96 


63 


3i 




43 


893 


955 


.8 


80 


44 




7' 


35 


.400 


65 


3i 


98 


64 


33 


45 


44 
45 


894 


956 


19 


81 


45 


oB 


71 


36 




67 


33 


_29 


66 


33 


45 


895 


957 




1083 


..46 


1309 




7138 


7477 


7468- 


7533" 


I&X. 


7667 


7734 


46 


B96 


95s 




84 


47 




74 


39 


o3 


69 


35 




68 


35 




47 


897 


959 




85 


48 




75 


40 


o5 


70 


36 




69 


36 




48 


^ 


5S 


i3 


86 


49 




76 


4i 


06 




37 


o3 


70 


38 


46 


4g 
53 


899 


56, 


>4 


S7 


5o 


t3 




43 






3S 


04 


7' 


39 


49 
5o 


900 


-^ 


1015 




ri5i 




"TT^ 


7343 


747s 


7473" 753^ 


7635 


76,3 


I74'> 


5. 


901 


963 


36 


89 


53 


16 


80 


44 


09 


74 


4" 


06 


'^ 


41 


5i 


Si 


903 


964 




90 


53 


17 


81 


45 




75 


4i 


08 


75 


43 


53 


53 


903 


^65 


16 


9' 


54 


j8 




46 




76 


43 


09 


76 


43 


53 


54 
55 


904 


^ 


39 


9^ 


55 


]2 


83 


47 




77 


43 






44 


54 


-^ 


-^ 


7^ 


1093 


1156 




7784 


7348 


747T 


7479 


[544 


7677 


7678 


7746 


56 


90O 


969 


3i 


94 


57 




85 


49 


<4 


80 


46 




79 


47 


56 


5? 


907 


970 


3i 


95 


58 






56 


]5 


81 


47 




80 


48 


57 


5ti 


?o8 


971 


33 


96 


59 


33 


87 


53 


16 


83 


48 


14 


8[ 


49 


58 


59 


909 


_973_ 


34 


97 


66 






53 


iS 


83 


49 


i5 




5o 


52 

M. 


U" 


15'. 


16? 


17" 


Iff' 


1^ 


"80°" 


ai°" 


23° 1 


23° 


24° 


25° 


M"" 


E. 



ny Google 



































rifti 




M 


HSP 


ay 


30" 


31" 


ar 


33? 


31- 


35° 


36' 


37° 


38» 


30° 


'4ff> 


41° 


M. 


TfiT 


1819 


[888 


1958 


3028 






3344 


~a3lB 


.393 


i46B 


3545 


"ielT 






5j 




9" 


59 


. 3o 




73 


46 


'9 


94 


70 


46 


34 


o3 






53 




9' 


60 


3i 




74 


47 




95 


71 


48 


a5 


o4 




3 


55 


i3 


91 


63 


31 


o3 


75 


48 







73 


49 


37 


06 


3 


4 

-5 


56 


a4 


93 


63 


33 


04 


76 


49 


33 


98 


73 


5o 


38 




4 
"5 


1^ 


"is^s" 


T55T 


7^ 


^334 


ITBs 


77^8 


335o 


33i4 


3399 


3475 


3551 


Te;^ 


77^ 


6 


58 


16 


^ 


65 


35 




79 


53 


35 


1406 


76 


53 


3; 




6 




59 


»7 


96 


66 


37 


oS 


86 


53 


37 




77 


54 


3a 






8 


6d 


19 


98 


ft? 


38 


09 


81 


54 


38 


o3 


78 


55 


33 




8 


-S 


61 


36 


99 


.J9 


39 




83 


55 




o4 


80 


57 


34 


i4 


-? 


1761 


'1831 


1900 


1970 


ao4o 




iiS4 


«57 


7330" 


j4o5 


3481 


3558 


=636 


3715 




64 


3i 




71 


4i 


i3 


85 


58 


3a 


06 


83 


59 


37 


16 






65 


33 






43 


i4 


86 


59 


33 


08 


84 


60 


38 


18 




i3 


66 


34 


o3 


73 


44 


i5 


87 


65 


34 


09 


85 


61 


4o 


■9 


t3 


■4 
75 


67 


35 


oS 


74 


45 


16 


88 


6. 


35 




86 


63 


4i 




i4 
i5 


1768 


1BJ7 


■^ 


1976 


3o46 




1190 


ai63 


3337 


7477 


3487 


7S64- 


7647 


3733 


16 


6, 


38 


07 


77 


47 


'9 


9' 


64 


38 


i3 


89 


66 


44 


a3 


16 




70 


39 


08 


7S 


48 




9" 


65 


39 


i4 


9° 


&7 


45 


34 


'7 


18 




40 


09 


79 


5o 




93 


66 


40 


15 


9' 


68 


46 


36 


18 


!2 


73 


i' 




80 


5. 




94 


68 


43 


16 


9= 


^9 


48 


37 


2? 


""1774 


1S43 


'9" 


7^57 


jo5i 




3196 


2369 


1343 


74l8- 


3494 


75^ 


a649 


3738 




7S 


43 


i3 


^ 


53 


a5 


97 


70 


44 


'9 


P 


73 


56 


'9 






76 


45 


i4 


84 


54 


36 


98 


7' 


45 




96 


73 


5i 


3i 




33 




46 


i5 


85 


56 


17 


99 




46 




98 


75 


53 


3a 


a3 


'4 


78 


4? 


16 


86 


-Jl 


>8 




74 


48 


a3 


99 


76 


54 


33 


34 
35 


178.. 


[84S 


1917 


1987 


^^ 


1119 




7^ 


734^ 


i4i4 


sSoo 


B^ 


7M5 


7^ 


16 


Bi 


49 


18 


88 


59 


3i 


03 


76 


5o 


35 




78 


57 


-36 


a6 




6= 


5o 




90 


60 


3:. 


o4 


77 


5i 


37 


o3 


60 


58 


37 


37 


18 


83 


5j 




9' 


61 


33 


o5 


79 


53 


38 


04 


81 


59 


39 


as 


39 
3o 


84 


53 


39 


93 


63 


34 


07 


86 


54 


'9 


o5 


Sa 


6! 


4^ 


39 

3o 


.765 


'.854 


1933 


1993 


3064 


»|35 


iioS 


3381 


7355" 


745^ 


aSoe 


7584 


7667 


3743 


3i 


86 


55 


34 


94 


65 


3? 


09 


83 


56 


33 


08 


85 


63 


43 


3i 


35 


87 


56 


i5 


95 


66 


38 




83 


58 


33 


"9 


86 


65 


44 


3i 


33 


89 


57 




97 


&7 


39 




85 


59 


34 




8S 


66 


46 


33 


3J 
35 


90 


58 


)8 


98 


_59 


4I 


13 


86 


66 


35 


13 


-JS. 


67 


_*? 


34 
35 


1791 


■;?&■ 


1939 


1999 


3070 


3l4< 


T^ 


l^Bf 


7367 


7437 


luT 


^ 


7665^ 


7^8- 


36 


9' 


61 


3o 




71 


43 


■ 5 


88 


63 


38 


i4 


9' 




50 


36 


37 


93 


63 


3i 




7= 


44 


16 


9° 


64 


39 


■5 


93 




5i 


37 




94 


63 


3j 




73 


45 


17 


9' 


65 


40 




94 


73 


Sa 


38 


39 
in 


. 55 


64 


34 


°4 


75 


46 


"9 


. 9' 


66 


43 


18 


_9l 


74 


54 


39 

40 


1797 


7865 


liTs 




■^^ 


»l47 




7^ 


73M 


7443 


7^ 


75^ 


76^ 


7=55 


4- 


98 


66 


36 


06 




49 




95 


69 


44 




98 


76 


w 


41 


4n 


99 


68 


37 




78 


5o 




96 




45 




99 


78 


58 


41 


43 


■866 


69 


38 


08 


79 


Si 


34 


97 




47 


i3 


166; 


79 


59 


43 


44 
45 


01 




.J9 


10 


86 


53 


35 


_?» 


73 


48 


34 


oa 


86 


66 


44 
45 


-^s^ 


i8?r 


1941 




in8a 


7753 


1^ 


1399 


73^ 


3449 


7S6 


^^ 


7687 


7^ 


4fi 


o3 




4i 




83 


55 




i3ui 


75 


5i 


37 


04 


83 


63 


46 




o5 


73 


43 




84 


56 


18 




76 


53 


38 


06 


84 


64 


47 


48 


oC 


75 


44 




85 


57 


3o 


o3 


78 


53 


3o 




86 


66 


48 


g 


07 


76 


45 




86 


58 


3r 


04 


, 79 


54 


3i 


oB 


87 


67 


g 


1838" 


"T8?f 


19^ 




'^im 


TT57 


7^ 


l3^ 


73Sr 


74S 


7537 


76;^ 


7^ 


7^ 


5i 


09 


76 


48 




89 


61 


■33 




81 


57 


33 




90 




5i 


Sa 




79 


49 




9" 


63 


35 


08 83 


58 


35 




91 




5a 


53 




86 


5o 




91 


63 


36 


09 


84 


59 


36 


i4 


91 


73 


53 


5J 


i3 
'1814 


81 

TegT 


5i 




9. 


64 


37 




85 


61 


37 


i5 


94 


74 


54 
55 


7f57 




1^ 


T765 


■^38 


7577 


7386 


3463 


7538 


76l6 


76^ 


7?^ 


56 


i5 


84 


53 




^ 


67 


39 


[3 


88 


63 


40 




96 


76 


56 


57 


16 


85 


S5 




96 


68 


4T 


i4 


89 


64 


4[ 


'9 


98 


78 


57 


56 


17 


86 


56 




97 


69 


4= 


16 


9° 


66 


4» 




99 


79 


58 


59 
M. 


iB 


87 


_57 


»7 


98 


70 


43 


17 




67 


44 




3700 


S6 


u. 


'as' 


TSf 


30° 


IF 


3-r 


33° 


34° 


35° 


sp" 


37° 


38° 


"k^ 


40" 


41° 



ny Google 



1 

TABLE III. C^t*" 1 




Meridbnal ParU. 




M. 

o 


43" 


43° 


44° 


45" 


46" 


470 


48» 


49° 


15^ 


[^ 


52° 


53° 


54° 


55° 





1^ 


78M 


litf 


3535" 


3776 


1753 




lIsT 


l4^ 


IX^ 


3665 


3764 


IBM 


1^ 




83 


^ 


> 


3i 






93 


84 


76 




67 


65 


■ 66 


70 


1 




84 


49 


33 


18 


06 


95 


85 


78 


73 


68 


67 


68 


7' 




3 


86 


67 


5o 


34 


30 


07 


96 


87 


79 


74 




69 




73 


3 


4 

"5 


87 


69 


5. 


36 




09 


98 


88 


81 


75 








75 


4 
'5 


3788 


18^ 


103 


153^ 


3713 


3iio 


3399 


3355- 


34B3 


15-77 


16^ 


1^ 


18?3 


1^ 


6 


90 


71 


54 


38 


34 




336; 


9' 


84 


78 


75 


74 


75 


78 


5 




9' 


73 


56 


4o 


16 


i3 




93 


85 


80 


77 


75 




80 


7 


e 


91 


74 


S7 


4i 




i4 


o3 


94 


87 


83 


78 


77 


78 


8a 


8 


9 


94 


75 


58 


43 


39 


16 


o5 


96 


88 


83 


80 


-Jl 


80 


84 


-? 


"5^0 


18^ 


1^ 


1344 


173^ 


3117 


3356 


33^7 


1455- 


1585 


1667 


3780 


leeT 


1^ 




97 


78 


61 


46 


3. 


19 


08 


99 


9a 


86 


83 


83 


83 


87 






9B 


80 


63 


47 


33 




09 


34S 


93 


88 


85 


84 


85 


89 




■ 3 


99 


81 


64 


48 


34 








95 


V> 


86 


85 


87 


</' 


i3 


i4 

Is 


.8^; 


83 


55 


5o 


36 


]3 


13 


o3 


-Jl 


-^£L 


88 


87 


89 


93 


« 


"»8^ 


"5887 


^ 


1557 


1737 


3335 


I3T4 


34o5 


34^ 


3593 


16^ 


3789 


3890 


395^- 


i6 


o3 


85 


68 


53 


39 


=6 


16 




99 


94 


9< 


90 


9a 


96 


16 




o5 


86 


70 


54 


40 


aS 




08 


356; 


96 


,3 


93 


94 


98 




>S 


06 


88 


7' 


55 


43 


39 


'9 




o3 


98 


95 


94 


95 


99 


18 


19 




89 


73 


57 


43 


3; 






04 


99 


96 


_0 


_2I 


4001 


13. 


Ito^ 


^ 


1^ 


1558 


1744" 


IST 


1371 


■3473 


1556 


1657 


3698 


3797 


3899 


"4553- 










75 


6a 


46 


34 


33 


■ 4 






99 


99 


3901 


o5 








93 


76 


61 


47 


35 


35 


16 


09 


04 


3701 


3800 




06 




i3 


■ 3 


^ 


78 


63 


49 


37 


36 






06 


o3 




04 


oB 


33 


i4 
i5 


i4 


96 


79 


64 


s 


38 


38 


'9 


1574" 


-_2Z. 


04 


04 


06 




'A 


^arr 


^ 


398. 


15m 


UsT 


1745 


1375 


I430 


3609 


1^ 


leSe 


3907 


4577 


i6 




99 


>3 


67 


53 


41 


■3; 




i5 




08 




09 


'i 


a6 


J7 


18 


3900 


83 


68 


55 


43 


33 


^3 


17 




09 


09 




i5 


37 


s8 






85 


70 


56 


44 


34 


35 


18 


i4 






i3 


17 


a8 


.1o 


IT 


o3 


86 


71 


57 


45 


35 


37 




i5 


i3 


13 


14 




39 
35 


lE^ 


3904 


5^88 


M3 


Hsf 


13^ 


3337 


1478 


1577" 


1677 


1774 


38 14 


3916 


■45^" 


ll 


u 


"06 


\ 


74 


6b 


48 


38 


3o 


i3 


18 


16 


16 


iB 




3i 


}] 


15 




9' 


75 


63 


5o 


40 


3i 


35 








>9 


34 


3l 


33 


16 


06 


93 




63 


5. 


4i 


33 


36 




'9 


'9 




a6 


33 


34 
35 


38 




h 


78 


65 


53 


43 


34 


38 


i3 






33 


38 


s 


^8i? 


3911 


-^ 


3oSe 


1766 


3354 


3344 


1436" 


3539 


leTT 




HH 


3935 


-4039 


36 


3^ 


i3 


96 


81 


68 


56 


46 


37 


3i 


a6 


*4 


34 


a6 


3i 


36 


37 


33 


i4 


98 


83 


69 


57 


47 


39 


33 


18 


16 


36 


aS 


33 


37 


38 


33 


i5 


99 


84 


71 


59 


49 


4" 


34 


3o 


37 




3o 


35 


38 


40 


34 


17 


3o5! 


85 




6S 


55 


43 


36 


3. 


39 


'9 


3a 


37 


39 
40 


1836 


-^ 


15^ 


ISsf 


17^ 


336a 


1357- 


I443 


1537 


3633 


373. 


383[ 


3933 


4o3B 


4i 


37 


19 


o3 


88 


75 


63 


53 


45 


39 


34 


33 


33 


35 


40 


4i 


43 


^ 




o5 


9° 


76 


65 


55 


47 


4o 


36 


34 


H 


ll 


43 


ii 


43 


4a 




06 


9' 


78 


66 


56 


48 


43 


38 


36 


36 


38 


44 


43 


44 
45 


41 


34 


07 


93 


79 


68 


58 


5o 


43 


39 


37 


38 


40 


45 


1 


1843 


3935 


3009 


15^4 


178? 


II69 


135^ 


3457 


1545- 


3641 


1^ 


3839 


"^3 


4047 


46 


44 


»6 




95 


83 




Gi 


53 


47 


43 


4i 


■*; 


44 


49 


46 


47 


45 


38 




97 


84 




63 


54 


48 


44 


43 


43 


45 


5i 


a 


48 


47 




i3 


98 


85 


74 


64 


56 


5o 


46 


44 


44 


47 


53 


49 


48 


3? 


i4 




87 


7S 


65 


57 


5i 


47 


46 


46 


_J? 


54 


g 


"i84^ 


lis 


38^ 




1788 




l36f 


345^ 


155T 


l64i- 


I747 


1848 


395, 


4o56 


5i 


5i 


^3 




o3 




78 


68 


66 


55 


5i 


49 


49 


53 


58 


Si 


5a 


53 


35 




04 




So 


70 


63 


56 


53 


56 


5i 


54 


60 


5a 


53 


54 


36 




o5 




81 


71 


64 


58 


54 


53 


53 


56 


61 


53 


54 
55 


55 


37 






94 


83 


73 


65 


59 


55 


54 


54 


58 


63 


54 
55 


1856 


-i^ 


15i3 


3^ 


17^ 


1784 


3374 


346? 


IMT 


1657 


m 


3856 


3rf9 


*t 


56 


58 


4o 


34 




P 


86 


76 


68 


61 


59 


57 


58 


61 


f' 


56 


5? 


5o 


41 


36 




87 


78 




64 


65 


59 


60 


63 


69 


U 


56 


6^ 


43 


»7 


i3 


33£o 


89 


79 




66 


63 


60 


61 


64 


70 


52 


63 


44 


39 


14 




90 


Si 


73 


67 


64 


63 


63 


66 


73 




42° 


43* 


44" 


45° 


4^ 


47« 


48" 


49° 


50° 


51° 


52° 


53^ 


ly" 


55" 










5 — 










" 















ny Google 



Pm« •« TABLE III. 1 


Meridional Parts. 




M. 


sef 


sr 


58» 


^ 


6O0 


6P 


68° 


63° 


64" 


65" 


66° 


^67° 


68° 


69» 


H.: 


4074 


4183" 


4*94 


4409I 


4S^ 


^64^ 


4^ 


4905 


■5^ 


5179 


"53^ 


5474 


"56371 


-V^' 




76 


84 


96 




"9 


5i 


77 




4a 


81 


a6 




33 


97 








86 


98 


i3 


3; 


53 


79 


09 


44 


84 


18 


79 


36 


586o 




3 


79 


88 


43S0 


i5 


33 


55 


el 




46 


86 


3i 


8a 


39 


o3 


3 


4 


8i 


9> 




17 


35 


57 


84 


■ 4 


49 


88 


33 


84 


4a 


06 


4 

5 


4o83 


419J 


4S 


4419 


4537 


lefc 


4^ 


7^ 


5^ 


5191 


5336 


5487 


5644 


58^ 


6 


85 


94 


06 




39 


61 


88 


18 


53 


93 


38 


89 


■47 




6 




86 


^ 


08 


i3 


4; 


64 


9° 




55 


95 


4i 


9a 


5o 


i4 


7 


8 


88 


97 


09 


a5 


43 


66 


9a 


a3 


58 


5a^ 


43 


95 


5a 


17 


8 


-? 


9°, 


99 




a7 


45 


68 


94, 


a5 


60 




46 


97 


55 




-? 


409' 


4ao. 


4373 


44^ 


4547 


4670 


4^ 


49=7 


5o6a 


5^ 


5348 


5500 


1658" 


5871 




94 


03 


i5 


35 


49 


7a 


98 


»9 


65 


o5 


5i 




60 


35 






95 


o5 




33 


5. 


74 


4861 


3i 


67 


07 


53 


05 


63 


18 




i3 


97 




'9 


34 


53 


76 


..3 


34 


69 




56 


07 


65 


3i 


i3 


14 
l5 


—29 


08 




36 


55 


78 


o5 


36 




ta 


58 




6B 


34 


i4 

75 


4.01 


4110 


4353 


4438 


4557 


468o 


4807 


4^ 


5^ 


■5^ 


5367 


557T 


5671 


5837 


|6 


o3 




a5 


4o 


5, 


8a 


09 


^ 


76 


'7 


63 


i5 


74 


39 


16 


I? 


04 


14 


37 


4a 


6a 


84 




43 


78 


'9 


66 


18 


76 


4a 




IS 


06 


16 


as 


44 


64 


87 


t4 


45 


81 




68 




79 


45 


18 


£? 


08 


18 


So 


46 


66 


89 


16 


47 


83 


94 


71 


a3 


8a 


48 


!£ 


4mo 


4a30 


4331 


4448 


'Tser 


46^ 


4878 


4949 


MS- 


5irf 


53?3" 


55^ 


5685 


5857 








34 


5o 




93 




^ 


SB 


19 


76 




87 


54 






i3 


i3 


36 


5a 




^ 




54 


90 


3i 


78 


3i 


9° 


56 




a3 


iS 


iS 


38 


54 


74 


97 


a4 


56 


9a 


34 


80 


33 


93 


59 


i3 


a4 

is 


_!Z 


a? 


40 


56 


76 


99 


a6 


56 


_2l 


36 


83 


36 


_^ 


6i 


34 

75 


^"? 


4aa9 


434? 


4458 


IsW 


4701 


w 


4^ 


5097 


1^ 


"5385" 


553^ 


569S 


S8M 


36 




3i 


44 


60 


So 


o3 


3i 


63 


99 


41 


88 


4i 


5701 


68 


a6 


V 




3a 


46 


6a 


8a 


□5 


33 


65 


5i6i 


43 


90 


44 


04 


71 


a? 


aS 


a4 


34 


47 


64 


84 




35 


67 


04 


46 


93 


46 


06 


74 


38 


3 


*5 


36 


_49 


66 


S6 


ID 


37 


69 


06 


48 


_?1 


49 


_-S9 


76 


39 

3o 


4is8 


4a38 


435i 


4468 


IssT 


47 J a 


483^ 


497a 


5io8 


■Sfc 


5398 


555a 


57>a 


5879 


3i 


3o 


40 


53 


70 


9° 


14 


4a 


74 




53 


54ui 


54 


i5 


Ba 


3i 


3j 


33 


4a 


55 


7a 


93 


16 


44 


76 


.3 


55 


o3 


57 


17 


85 


3a 


33 


33 


44 


57 


74 


94 


18 


46 


78 


.5 


58 


06 


59 




88 


33 


34 
35 


35 


46 


59 


76 


-^ 


ao 


48 


81 


18 


60 


08 


6a 


33 


9' 


34 
35 


4.37 


4a47 


436. 


im 


459S 


47^ 


4850 


4^83 


5l30 


5a63 


5411 


"5565 


5735 


5894 


36 


39 


49 


63 


So 


455. 


a4 


5a 


^5 




65 


i3 


67 


aS 


96 


36 


37 


41 


5i 


65 


8a 




a6 


55 


87 


a5 


67 


16 


70 


3i 


99 


3^ 


3S 


4i 


53 


&7 


84 


o4 


18 


57 


90 


37 


70 


18 


73 


34 


590a 


38 


!2 
40 


44 


55 


69 


86 


06 




59 


9a 


a9 






75 


36 


o5 


h 
40 


"4i46 


1^ 


4370 


4488 


"460S 


"4733" 


486[ 


4^ 


1737 


■5^ 


54^ 


55^8 


57¥ 


Vs- 


4i 


48 


59 


7a 


9° 




35 


63 


^ 


34 


77 


a6 


80 


4a 




41 


4a 


5o 


60 


74 


oa 




37 


65 


99 


36 


80 




83 


45 


'14 


49 


43 


5a 


6a 


76 


94 


i4 


39 


68 


5o2i 


39 


8a 


3i 


86 


47 




43 


44 
45 


53 


64 


78 


Ts 


16 


4: 




03 


41 


84 


33 


88 


5o 


-Jl. 


44 
45 


4i55 


'41:66 


-m^ 


4497 


46T8 


4743 


4871 


5oo5" 


T743" 


■5^ 


1436 


55^ 


1753" 


5933 


46 


?' 


68 


8a 


99 




45 


74 


oS 


46 


89 


38 


94 


56 


35 


46 


47 


59 


70 


84 


45oi 


a3 


47 


76 




48 


9a 


4i 


96 


58 


38 


47 


48 


'61 


71 


86 


o3 


a5 


5o 


79 




5i 


94 


43 


99 


6r 


3i 


48 


49 


63 


74 


88 


o5 


a7 


5i 


sT 


i4 


53 


_ZL 


46 


566i 


64 


34 


49 
5o 


5o 


4i64 


4a75 


4390 


4507 


46a9 


'4754 


4883 


^5^ 


"sTsT 


5a99 


5448 


5&4 


5767 


3p7 


5i 


66 


77 


9a 


09 


3; 


56 


85 


■9 


5S 


53m 


Si 




70 


4o 


5i 


5i 


68 


79 


94 




33 


58 


87 




60 


o4 


54 




7a 


43 


5a 


53 


70 


81 


96 


i3 


35 


60 


9> 


a3 


6a 


06 


56 




75 


46 


53 


54 
55 


7a 


_!i 


98 


i5 


37 


6a 


gi 


a6 


65 


09 


59 


.5 


78 


48 


54 
55 


4.73 


4^ 


4399 


45i7 


4539 


4764 


4894 


"5^ 


5167 


■53rr 


546i 


MT7 


T^ 


VT 


56 


75 


87 


440, 


■9 


4' 


66 


96 


3o 


69 


14 


64 




83 


54 


56 


57 


77 


89 


o3 




43 


69 


98 


33 


7a 


16 


66 


a3 


86 


57 


57 


58 


I' 


9' 


o5 


a3 


45 


7T 


4901 


35 


74 


'9 


69 


a5 


89 


60 


58 


5? 


8l 


_2i 




^ 


47 


73 


o3 


37 


76 




71 


aS 


9a 


63 




H- 


58° 


sr- 


sF 


59° 


60" 


61" 


62" 


^ 


64" 


1^ 


66" 


SP 


68° 


69= 



ny Google 































H. 


70» 


71" 


72° 


73° 


74" 


~75^ 


76" 


77" 


78" 


79° 


80" 


81" 


S£f 


83" 


M. 


3^ 


"6746" 


M^ 


6534 


6746 


6970 


■"7a 10 


7467 


W4^ 


8546 


""8-375 


873^ 


9145 


9606 




69 


49 


38 


38 


n 


74 


14 


7^ 


49 


5i 


81 


''53 


i4 








53 


4i 


4i 


78 




76 


54 


56 


87 


53 


60 






3 


75 


55 


45 


45 


57 


83 




81 


59 


6( 


93 


58 


67 


3] 


3 


4 
"5 


78 


56 


48 


48 


60 


86 


37 


85 


64 


67 


98 


65 


74 


39 


4 

5 


"^i 


Gi6[ 


6351 


"6557 


^'U 


6990 


123. 


7490" 


7^ 


8073 


84o4 


f^ 


9183 


9647 


6 


84 


64 


54 


55 


68 


94 


35 


94 


74 






78 


J 


55 


e 




86 


67 


58 


58 


7' 


97 


s 


98 


78 


83 


16 


84 


64 


7 




*? 


7" 


61 


63 


75 




75S3 


83 


88 




9' 






8 


-2 




73 


64 


65 


79 


o5 


47 




88 


93 


37 


97 




80 


_9 


3 


6177 
So 


636^ 
7> 


73 


678a 
86 


^ 


7»53 
56 


4 


"g 


^ 


1 


-8-8^ 
10 


^ 


9689 
97 




6001 


83 


74 


76 


90 


17 


60 




7853 


It 


17 


33 


9706 




i3 


04 


86 


77 


'8 


93 




64 


35 


08 


5i 


33 


40 


14 


i3 


75 


07 


_89 


8u 


83 


97 


35 


68 


3o 


i3 




57 


3o 


46 


33 


14 
75 


6010 


6,93 


6364 


6586 


68^ 


703^ 


7»73 


^535" 


7817 


Ji^ 


1463- 


8836 


^755 


"^ 


iG 


i3 


95 


87 


9° 


04 


77 


39 




3i 


69 


43 


63 


40 


16 




16 


,s* 


90 


93 


08 


37 




44 


37 


36 


74 


11 




48 




■ S 


'9 


6101 


94 


97 




4> 


85 


48 


33 


4i 


80 


77 


57 




.'9 




o5 


97 


660D 


i5 


45 


89 


53 


37 


47 


ee 


63 


85 


65 


12 


6^ 


6^^ 


64oo 
03 


66o3 
07 


";! 


^ 


-^ 


7557 

6a 


7843 
47 


Bi53 
58 


^ 


•H 


939a 
9300 


"^3 




3t 


r4 


07 




16 


56 


73o3 


66 


53 


63 


B5o4 


63 


07 


9' 




i3 


34 


'7 




14 


3o 


60 


06 




57 


66 




^ 


i5 


985o 


a3 




3? 




i3 


17 


34 


64 




76 


61 


74 


16 




09 


34 
i5 


6o4o 


eal^ 


6^ 


"66^- 


6838 


■^ 


?375 


758o 


16ST 


8179 


Mii" 


8903 


■^35" 


■^ 


i6 


43 


s6 




34 


41 


71 


11 


85 


73 


85 


38 


3 


37 


a6 


a6 




46 


3o 


13 


38 


45 


76 


89 


77 


9° 


34 


45 


35 


37 


38 


49 


33 




3i 


S 


So 


38 


94 


63 


96 


40 


33 


53 


44 


38 


'£ 


51 


36 


3o 


35 


84 


33 


99 


87 


8301 


46 


3o 


60 


53 


!2 
3o 


6o5S 


6^3^ 


w 


"663^ 


6856 


7088 


^336 


7603 


'"7B?r 


"aSo, 


"elsT 


8936 


■^ 


■^ 


3i 


58 


43 


37 


4i 


60 


9» 


4i 


08 


97 




58 


43 


76 


70 


3i 


3i 


61 


45 


4o 


46 


64 


96 


45 




790a 


I's 


65 


50 


83 


^ 


33 


33 


64 


49 


43 


Ji 


68 


7100 


S 


17 


07 


33 




57 


9' 


33 


3J 
35 


67 


53 


i-7 


71 


04 






39 


77 


63 


.9? 


g7 


34 
35 


&^ 


6355 


645^ 




6875 


7108 


7358 


^^ 


7917 


8^ 


8583" 


8^ 


9407 


9906 


36 


73 


58 


53 


60 


?! 




63 


3i 




40 


11 


77 


i4 


i5 


36 


3? 


76 


61 


57 


63 


16 


66 


36 


37 


45 


84 




34 


37 


38 


79 


64 


60 


67 


86 




71 


40 


33 


5i 


B661 


9' 


3o 


33 


38 


4i> 


8j 


68 


63 




9° 


34 


75 


45 


37 


56 


^zj 


J. 


36 


43 


39 
4o 


'fcM 


6^ 


6467 


"66^ 


6894 


7138 


7379 


7650 


794a 


8363 


B614 


9005 


?44r 


-^ 


4i 


88 


74 


70 


77 


^ 


33 


84 


54 


48 


67 






53 


60 




43 


9' 




73 


si 


695t 


36 


88 


59 


53 


73 


a6 


18 


61 


% 


43 


43 


94 


So 


77 


85 


o5 


4a 


91 


S 


58 


79 


33 


35 


69 


43 


44 
45 


_?L 


83 


80 


38 


09 


45 


97 


68 


63 


8^ 


38 


3i 


77 


87 


44 
45 


6100 


6S? 


6483 


"6V 


6913 


7.4^ 


7401 


1^ 


7P8" 


8390 


8644 


'9039 


^485" 


9996 


46 


o3 


9° 


87 


95 


I? 


06 


78 


73 


95 


5i 


46 


93 


iooo5 


46 


^ 


06 


P 


90 


99 




57 




83 


78 


83Si 


57 


53 


955. 


iooi5 


47 


09 


96 


94 


675; 


34 


61 


i4 


87 


83 




63 


60 


09 


iooa4 


48 


4? 
5o 




_w 


97 


06 




65 


'9 


91 


89 


13 


_?9 


67 


'7 


10033 


g 


"eTTs 


63o3 


65oo 


6710 


"6^ 


^ 


74^ 


76^ 


7994 


"8378 




9074 


9535 


[Oa43 


5i 


18 


06 


04 


i3 


36 


37 


7701 


99 


34 


83 


81 


33 


10o53 


5i 


52 




°9 




17 


40 


77 


33 


06 


8064 


ao 


88 


88 


4i 


10061 


53 


53 


M 








43 


81 


36 




09 


35 


95 


96 


49 




53 


54 

55 


37 


'.5 


i4 


34 


47 


85 


4i 


16 


is 


41 


8701 


9103 


57 


10080 


54 
55 


6i3o 


"63T? 


657? 


6?58 


6^ 


778? 


^445 


7731 


"to^ 


8347 


8707 


9110 


"9565 


10089 


56 


33 






3t 


55 


94 


49 


35 


35 


5a 


i4 


17 


73 


:o3 


56 


57 


36 


35 


94 


35 


.1 


98 


si 


3o 


3o 






a4 


81 


U 


58 


40 


38 


3B 


38 


7903 




35 


35 


64 


36 


3i 


J. 


loiiB 


59 
M, 


43 


3i 


3i 


41 


66 


06 


63 


40 


40 


69 




38 




is 


>0» 


7lM7»» 


73" 


74" 


7SP 


76" 


77" 


78" 


79» 


I^ 


81" 


83" 


w 


u. 



nvGooglc 



















































Hrilbt 


DMuiL 


DdiU 


DWun 


O'V 


Olmam. 


^ 


IKw» 


miu 


Dl__>. 


BriiM 


Oku~. 8<%Ii|IHUhl| 




MIL Dm. 


fM. 


US-Tt^ 


lifen. 


HAD-. 




UU.Dk! 
19.17 


460 


UB.D.iL 


910 


40. .3 37 


»* MID- 




TIT 


^^6" 


"6:75" 


"sT 




00 73.7 




1. 87 


J7 


6 


87 


60 




i5 




.9.6i 


470 


38.68 


940 


40.56 33 


00 74 


8 


3 


J. 39 


18 


7 




65 




67 


330 


ao.o6 


48o 


18.98 


^ 


40.99 33oo 76 




4 


1.65 


29 


7 










340 


30. 5o 


490 


%-M 


.^ 


41.41 3400 77 




5 


1.96 


3o 




35 


75 




46 


350 


:;:!! 


5oo 




4i.8o 35oo 78 


3 


e 


3.34 


3i 




37 


80 




83 


260 


5io 


36.17 




43.90 3600 79 
45.80 3700 80 


4 


7 


3.5o 


33 




48 


85 






370 


31.74 


540 


30.74 




5 


8 


3.74 


33 




60 


90 




55 


380 


33.14 


56o 


3i.3i 


i3oo 


47.70 3800 81 


6 


9 


3.97 


34 




71 


95 




;s 


190 


33.53 


58o 


3. .86 


i4oo 


49.50 3000 83 


6 




4.18 


35 


7 


83 






3oo 


32.9. 


6do 


31 .4r 


i5oo 


51.30 4S00 83 


7 




a 


36 


7 


94 


io5 




56 


3.0 


33.39 




31.94 


1600 


i3:?^ % 


00 84 






37 


8 


65 






88 


3io 


33.67 


640 


33.37 


1700 


00 85 




i3 


4.77 


38 


8 


16 


ii5 




'9 


33o 


34.03 


660 


f,-^ 


1800 


56. 10 h 


00 86 




■4 


4.9S 


39 


8 


36 






49 


340 


d:S 


680 


1900 


57-70 4400 87 


8 


i5 


5.1^ 


40 


8 


37 


.35 




^ 


35o 


700 


35.00 




59.30 45oo 88 


7 


i6 


i:3l 


4i 


8 


47 


i3o 




360 


35.10 


730 


35. 5o 




60.60 46oo 89 


7 




41 


8 


57 


.35 




37 


370 


=5.45 


74o 


35.99 




61.10 4700 90 


7 


i3 


5.61 


43 


8 


68 


i4o 




65 


38o 


35.79 
36. 1 3 


760 


36.4? 


33oo 


63. 40 48 


00 91 


7 


'9 


5.77 


44 


8 


78 


■45 




93 


390 


780 


36.95 




64-80 49c-, 1 9a 


6 




5.91 


45 


8 


87 


>5o 






4™ 


=6.46 


800 


37.41 


a5oo 


66. .0 52ool 93 


5 




6.06 


46 


8 


97 


160 




73 


4io 


36.79 


810 


37.88 


a6oo 


67.50 1 


.u. 96 






6.ai 


47 


9 


07 


170 




35 


4ao 


37.11 


84o 


38.34 


3700 


68.70 




»3 


6.34 




9 




.80 




75 


430 


37-43 


860 


38.80 


»8oo 






i4 


6,48 


49 


9 


26 


190 




=4 


440 


17.75 


880 


39.35 


3900 






i5 


6.61 


50 


9 


35 








45o 


16.^ 


9°° 


39.69 


3600 


71.50 




TABLE X. A. 


Puallax in Altitude of a Plimet. 


Horizcfilal ParaOax of a Plond. 


u. 




















II II 
















„\u » 




lit. 


D. 




a 


3 




5 


t 




8 


\) 


10 III 


ai3 


14 


15 


16 


17 


8193 


» 2 S 


!j(i273 


30 35 


D. 








T 




T 


^ 




8" 


9 




3 73 


.4 


75 


75 


n 


8 7^3 


3 a l5 


361711 


3S35 










3 






6 




8 


9 






2.3 


14 


i5 


16 




;;i: 


3 1 l5 


3637 a 


30 35 










3 






6 






6 


9 






.3 


i4 


.5 


16 


il 3, 13 


34353 


38 33 




3o 






3 






5 






8 


I 








.3 


14 


[5 


616. 




J3a3a. 


1630 


3o 


35 
















7 




I 








.3 


■ 4 


5 16 1 


. V 'O 




i5i9 


35 


4o 
















6 




8 


9.0 








.3 


4.5 1 


5 .( 9 

5 ,: 6 




3337 


t 


43 
















6 




7 




1" 










3T4r 


„i6. 


33 36 


46 
















6 


6 


7 


8 










3,3. 


i t: 7 


v.i 


46 


49 
















5 


6 


7 


7 


u 


9 










3 ., 6 


49 


5i 
















5 


6 


6 


7 


1 


9 








.: 5 


;?;?; 


rBii 


5i 


55 
















5 


5 


6 


6 




9 


I 






1 4 




55 


58 


















5 


5 


6 


6 ■ 




6 


'i 




. 3 


r4'4i 


-619 


58 


61 


















4 


5 


5 


6 6 


■ 




6 


IV 




r3i3i 


t5,7 


6. 


64 


















4 


4 


5 


5 6 


6 




7 


7 


! 1 ; 




.3.5 


64 


&7 


















4 


4 


4 


5 5 


5 




6 




7 7 




13.4 


(n 


TO 


;; 


1 














3 
3 


3 
3 


4 
3 


4 4 
4 4 


5 
4 




5 
5 


6 

5 


6 6 

6 6 


I \ I 


IV 


iii 


70 


74 




















3 


3 


3 4 


4 




4 


5 


5 5 


5 1 7 


7 7 


74 


76 






















3 


3 3 


3 




4 


4 


4 5 


1 6 


6 7 


7 8 


76 


78 
























a 3 


3 




3 


4 


4 4 


4 . 5 


5 6 


6 7 


t 


80 






























3 


3 


3 3 


3 . 4 


5 5 


5 6 


Si 
























3 3 










3 3 


3 


4 4 


4 5 


8a 


84 






























3 






3 


3 3 


3 4 


84 


86 










































86 


88 










































8P 


l^ 


ol" 


2 





2_ 


2_ 







° 


_2 


«_ 


o|_o 


_f 




° 


« 


^ ° 


. 


o| o 





9» 



.vGooglc 



rvm 


TABLES XII, XIII, XIV, 


XV, AND XVI. 


TABLE XII. 


TABLE Xin. 


TABLE XIV. 


The RcftmelioD of ihe Haavcoly Bodia 


L[iz«.c 


r Dip of Iha 


The Sun') ParaJlai in 




in Altitude. 


iheSefc 


Altitude. 


^t 


Ref. 


X- 


Ref. 


» 


Ref. 


Heighl of 
ilie Syt. 


"it^ 


Sim'i Alt. 


Sub'. 
Parallsx. 


D.M. 


H. a 


D. M. 


M. S. 


D. 


"m.^ 


Feel. 


M. S. 


D. 


S. 




33. 


6.30 


Tsl- 


lo- 




38 




0.59 




9 


o. 5 


3«.ii 


6.40 


7.41 


3i 




35 




,.34 




1 




3i.ii 


6.5o 


7.3l 


3i 




3> 


3 


1.43 




o!iS 


30.36 




7.11 


33 




>8 


4 


1.58 


3o 


8 




39.50 




7.11 


34 




M 


5 




4o 




0.35 


."l:J 


7.10 


7. 3 


35 






6 


1.35 


5o 




o.3o 


7.3o 


6.54 
6.46 


36 




.8 
[6 




3.36 


55 




0.35 


57. 4i 


7.40 


37 






a. 47 


60 




o.4o 




7.5o 


6.38 






i3 


9 


1.57 


65 


0.45 


36.30 


B. 


6.3o 


Jl 




~ 




3.7 


75 


o.5o 


2SM 


8.10 


6.11 


40 








3.16 


0.55 


j5. 5 


8.30 


6.i5 


4i 




5 




3.35 


So 






14.39 


8.3o 


6. 8 


43 




3 


|3 


3.33 


85 




i! 5 


i3.5J( 


8.40 
8.5o 
9. 
9.10 
9.30 


6. 1 

5.55 

111 

5.37 


43 
44 
45 
46 
4? 




i? 

55 
53 


i4 


ii' 


90 




i!a5 


32.47 
31.15 

SI. 44 


I 


i5 

16 

18 


in 

4. 3 
4.11 


TABLE XV. 


J.3o 


31. iS 


9.30 


5.3i 


48 




5i 


'9 


4.J7 




1.35 


30.46 


9-40 


5.36 


49 




5o 




4.34 




i.4o 




9.50 


5.30 


5o 




IT 




4.3i 




1.45 


.9;si 




5.i5 


5i 




46 




4.37 




i.5o 


■o.i5 


io!is 


5. 8 


53 




45 


i3 


4.43 




1.55 


ia.3o 


5. 


53 




43 


»4 


4-49 






10.45 


4.54 


54 




4i 


16 


5. ; 




1 5 


18.11 




4.47 


55 




4o 


18 


5.i3 






17.4s 


W'.il 


4.41 


56 




38 


3o 


5.33 




I'M 


i;.i6 


I..30 


4-35 


57 




37 


35 


5.49 






17. 4 


11.45 


IS 


5S 




36 


4o 


6.1S 




a.aS 


16.44 




59- 





34 


45 


6.36 




i.io 


TeT^r 




4.,6 


^6^ 




W 


5o 


6.58 




1.35 


(6. 4 


i3;4o 


u 


6< 




3i 


60 


7.37 




i.4o 


■ 5-45 


i3. 


61 




3o 


70 


8.14 




J. 45 


.5.37 


13.10 


3.57 


63 




:i 


Bo 


8.48 




i.5o 


.5. 9 


13.40 


3.5i 


W 




9" 


tr. 




».55 


.4.51 

14.35 


■4. 

I4.30 


3.46 
3.40 


65 
66 





»7 
















3. 5 


;j:'l 


14.40 


3.35 


67 




M 




TABLE 


3.10 


iS. 


3.3o 


68 




i3 


Dip of lb 


Sea at dilfereDt Kilucei fcom the 


3.i5 


i3.4S 


i5.3o 


3.33 


69 


_£. 


il 




Ohnrvn. 


3!j5 
3.3o 

It 

4. o 
4.IO 


■ 3.33 


16. 
■6.3o 

I?:3o 
19. 


l\] 


70 


" 


11 


Hi 


-H7 


hi of liie Itye *Jrav« the 8m Id Feet. 


II. 5o 

ii.38 


3. 5 

\:^ 

1.49 
3.44 


11 

74 
75 
76 


i 


'9 

\l 
[5 
14 





10 


15 


» 


23 


30 


35 


40 


Dip. 


Dip 


Dip, 


Dip^ 


Dip. 


m 


Dip 


Dj^ 


H. 


M. 


M. 


M. 


M. 


M. 


M. 


M. 


i 






34 


45* 


57' 


68 


79 


9' 


4-ao 


IE. 7 


19.30 


3.40 


77 




i3 


I 


6 




n 


i3 


38 


34 


4o 


h 


4.3o 


.0.47 




1.36 


78 






1 


4 


8 




i5 


1 


33 




3o 


4.4o 


10. iS 


io!3o 


3.3a 


79 








3 


6 


9 




'7 




13 


4.5o 






1.3S 


IT 






:j 


-r 




7 






14 


'16 


',t 


5. o 


9! 53 


iiIBo 


3.34 


81 




t 




4 


6 


8 






i4 


5.IO 


9.37 






81 








4 


5 


7 


8 


"l 






S.30 

5.3o 
S.4o 


9.11 


i3. 

'±1 


3.l4 

a. 7 


83 
84 
85 


° 


6 

5 


■1 




3 4 1 


J^ 




...9. 




3 




3 4 
3 4 
3 4 

T 4 


5 
5 


6 


I 

6 

6 


8 


T 


5.5o 


e.39 
8.17 


iG. 


i!56 


86 




4 




7 


6. 


17. 


i.5i 


87 




3 


4 




4 




I 


7 


6.10 
6.10 


fl.iS 

8. 3 


18. 
39. 


\:$ 


88 
89 





' 










""6 


~T 


3 4 


T|-5-| 5 


6 


~r 


NOTB TO T 


iBL> XTI.— Th« Quolwn 


of thii TbI) 


le below the black linei, are the 


mnsMMSfi 


T»inlW,l.Xril, th.Ti 


nUaboTilon 




«ot Wn, J 


hrdimntMllieUnd. 







TABLE XXI. tP»f "31 
For torning Degreu and Minutes into Time, and the contrary. 


D. 


H 


H. 


D. 


H.M. 


D. 1 H 


M. 


D. 


H. H. 


D. 


H 


M 


D. 


H. H. 


M. 


M 


S. 


M. 


M.8. 


M. 


H 


S. 


H. 


M. S. 


H. 


H 


3 


M. 


M. a 


3 

i 

6 

I 
9 


I 


4 

8 

\l 

H 
iB 

33 

36 
4o 


6i 

63 

63 
64 
65 
66 
67 
68 
69 


4. 4 

4. 8 

4.13 

4.16 

4. 30 
4. =4 
4-38 
4.33 
4.36 
4.40 


■ 33 

"4 

135 
136 

l»7 

133 

139 

i3o 


8 

e 

8 
8 
8 
8 
8 
8 
8 


4 
8 

16 

»4 

38 
33 

36 
4o 


183 
i83 

184 
i85 

186 
187 
188 
,89 
190 


13. 4 

[3. 8 

13:34 
11.38 

13.33 

.1.36 

13.40 


34. 

343 
343 
344 
345 
346 
347 
348 

It 


16 
16 

16 
iG 
16 
16 
16 
■ 6 
.6 


4 

8 

.16 

34 

38 
33 

36 
40 


3oi 

3d3 

3o3 
3o4 
3o5 
3o6 
3o7 
3o8 

I?. 


■0. 4 
30. 8 

ao!i6 

»o;34 
10.38 
ao.33 
30.36 
30. 40 


[3 
■4 
i5 
i6 

\l 
■9 


I 


44 
48 
5i 
56 

4 

e 


71 

73 
74 
75 
76 


4.44 
4.48 
4.53 
4.56 
5. 
. 4 
1 . 8 

.'il 


i3] 
i33 

134 
1 35 
i36 

■ 37 
i38 

:3s 


8 

8 
8 
8 
9 
9 
9 
9 
9 
9 


44 
48 

53 

S6 

4 
8 

16 


191 

1 

■99 


■ 3.44 

\lt 

13.56 

t3. 
.3. 4 
i3. 8 

I3.I3 

i3.iG 

l3.30 


1!)! 

353 
353 
354 

355 
356 

lU 


16 
16 
[6 
■ 7 
'7 
■7 
17 


44 
48 

53 

56 

4 
8 


3i[ 

3l3 

3i3 

3i4 
3,5 
3.6 
3.7 
3i8 


ao.44 
30.48 
ao.53 
30. 56 

ai! 4 
ai. 8 


j3 
14 


; 


24 

a8 
3i 

36 
4o 
44 
48 
5a 
56 


(ji 
81 
83 
84 
85 
86 
87 
89 
V> 


5,M 
5.38 
5.33 
5.36 
5.4o 
5.44 

5^53 
5.56 
6. 


i4i 

■ 43 

■ 43 

144 
145 
.46 
147 
i48 


9 
9 
9 
9 
9 
9 
9 
9 
9 


34 

18 

36 
40 

44 
48 
5j 
56 


3^ 

304 

ao5 
106 
307 
308 
309 


i3.3S 
i3.3a 
13.36 
1 3. 40 
.3.44 
.3.48 
i3.5i 
.3.56 
.4. 


363 

364 

365 

366 
367 
368 
369 
370 


■7 
■7 
iB 


34 

=8 

33 

36 

40 
44 
48 

53 

56 


333 

333 
3i4 
335 
336 
337 
3=8 
3=9 
336 


31.34 

31. a8 

31,33 

31.36 

3i.4o 
31.44 
31.48 
ai.5i 

31.56 


3. 
3i 

33 
34 
35 
35 

39 

4o 


i 


4 
8 

i6 

'4 
i8 
3i 
36 
40 


9' 

1 

99 


6. 4 

6. e 
6.11 
6.16 
6.10 
6-34 

6. 38 
6.33 

fi.36 
6.40 


1 53 

154 
1 55 
i56 

IS 


;^ 


4 

8 
16 

34 

38 

3= 

36 
40 


il3 
316 

319 


14. 4 
14. 8 

l4.I3 

14.16 
14.30 
14. »4 
14.98 
i4.3a 
14.36 
■ 440 


371 
373 

375 
=76 

=77 
S78 


18 
18 
18 
iB 
iB 
■ 8 
18 
[8 
18 


4 

8 

16 

34 

38 
33 

36 
40 


33i 

3i3 
334 
335 
336 

337 
338 
339 
346 


»a. 4 
11. 8 

33:l6 

»».a4 

13.38 

33.3a 

33.36 

11.40 

11.44 
11.4s 

13.51 

13.56 
a3. 

11: i 

i3.li 

33. 16 

33. 10 


4t 
4i 
43 
44 
45 
46 

$ 

it 


3 
3 
3 
3 
3 
3 


44 
48 
5a 
56 

4 
8 

i6 

30 


io3 

104 
mS 
io6 

S 

109 


6.44 
6.48 
6.5a 
6.56 
7. 

Vi 

7.30 


i63 
.64 
iG5 
166 

,5, 

170 


i; 


44 
48 

53 

56 

4 
8 

16 


3 33 
334 
335 
336 


14.44 

■ 4.48 
14.53 

■ 4.56 
iS. 
i5. 4 
i5.* 
l5.la 
■5. 16 

15.30 


38» 

383 
>84 
385 
386 

387 
388 
.^.89 
390 


18 
18 
18 
18 
'9 
'9 
'9 
'9 
'9 
'9 


44 

£ 

56 

4 

8 

16 


34 ■ 
343 
343 
344 
345 
346 
347 
348 

^^ 


5, 
5i 
53 

54 
55 
56 

U 
& 


3 
3 
3 
3 
3 
3 
3 
3 
3 
4 


^4 
>8 
3j 
36 
4° 
44 

f, 

56 


r.3 
114 

ii5 
■ 16 

119 


7 -40 

1:1 


171 
"3 

IS 


i; 


34 

38 

33 

36 
40 
44 

48 

S3 

56 


i3i 

33l 

333 
334 
335 
335 
337 
336 


.5.34 
i5.38 
i5.3i 
.5.36 
1S.40 

■ 5.44 

■ 5.48 
i5.5i 

■ 5.56 
■6. 


391 

393 

1 

396 


■9 
"9 
'9 
■9 
■9 
■9 
'9 
■9 
'9 


34 

38 

33 

36 
40 
44 
48 

53 

56 


35, 
353 
353 
354 
355 
356 
357 
358 

^J? 
36o 


aj.i4 

33.!ia 

i3.33 
i3.36 
a3.4o 
1.1.44 
13.48 
33.5a 
33.5fl 
34. 



ny Google 



P»ie 133] 






TABLE SXII. 






















A n 


h « 


h m 


A m 


A m 


A m 


A m 


A m 


A m 




S. 


(P (K 


{P 1' 


CP ilf 


0° 3- 


CP 4' 


CP ff 


(P S 


ff. ■}, 


IP & 


S. 






=.=553 


t .954= 


..778= 


1,653= 


1.5563 


1 .4771 




..35== 






4.0334 


=48 1 


95oC 


7757 


65.4 


5549 


4759 


's. 


35i3 






3.73s4 


=4io 


9471 


7734 


6496 


5534 


474? 


35o4 




3 


5563 


=34i 


9435 




6478 


55=0 


4735 


407. 


ISi 


3 


4 


43 14 




9400 


7686 


6460 


55o6 


4?=3 


406. 


4 


~^ 


3.3345 


3.3=o5 


I .9365 


1.7663 


1.6443 


1.5491 


1.47. I 


i.4o5o 


1.3477 


5 


6 


=553 


li^^ 


933. 


7630 
7616 


64=5 


5477 


a 


4o4o 


34CS 


6 




i883 


1=^ 


6407 


5463 


4o3o 


3459 




3 


.3o3 


T^ 


7593 


6390 


5449 
5435 


4676 


4030 


345o 


8 


9 


079' 


9»8 


757c 


637= 


4664 


40.0 


3441 


9 




3.0334 


=..833 


' "'l^= 


1-7547 


1.6355 


i.54=i 


1 .465= 


1.4000 


1.343= 






^■^4: 


i6== 


75=4 


6338 


5407 


464o 


3989 


34=3 






1761 


9!,8 


7501 


63=0 


5393 


46=9 


3979 


34.5 




i3 


0195 




^ 


s 


6303 


5379 
5365 


46.? 


3?C9 


3406 


i3 


14 


&S?3 


.64= 


6186 


4606 


3959 


3397 


14 


-FT 


=.8573 


=..584 


..903, 


..7434 


1.6269 


1.535. 


s 


■.3949 


1.3388 


-w 


i6 


eX 


i5=6 


%9 


74n 


6=55 


5337 


^^ 


3379 


.6 




:S 


fi^ 




6i35 


53=4 


457. 


39=9 


337; 




i8 


778= 


8935 


6=i8 


53.0 


4559 

4548 


39,9 


336= 




'9 


7547 


.358 


8904 


7346 


6=01 


5=96 


39.0 


3353 


19 




..73=4 


=..3o3 


TsbTT 


..73=4 


i;6,85 


i.5j83 


..4536 


'1E 


1.3345 








\\$ 


884= 


730= 


6.68 


'a 


45=5 


3336 






6910 




7=8. 


6.5. 


45.4 


33=7 




a3 


6?.7 


1.43 


6781 


7^59 


6.35 


5=4= 


45o= 


3870 


33.9 


=3 


i4 


653= 


.091 


8751 


7=3g 


6.18 


5==9 


449. 


3860 


33iS 


=4 


-^ 


3.6355' 




..87=. 






..5=15 


T74-S^ 


..365. 


TTIsUT 


-5- 


i6 


.6iB5 




869. 


■7.96 


'6a85 


5=oj 


4468 


384. 


^3:f4 
3=76 


26 


i8 


601. 
5863 


^g 


860E 
863= 


?;i^ 


6^ 


i;S 


4457 
4446 


383i 
38a. 


=7 
=8 


'9 


5710 


0840 


86o= 


7.33 


6037 


5i6= 


4435 


38.= 


3=67 


=9 


IT 


T:556r 


J.079J 


1.8573 






..5i49 


1 .44=4 


..38o= 


..3>59 


3o 


3i 


54=1 


0744 


8544 


7091 


'6005 


5.36 


441 = 


1% 


3=5^ 


3. 


3s 


5=83 


0696 


65t6 


707. 


'^ 


5.=3 




3=4= 


3= 


33 


5 149 


o64o 
<.6o3 


8487 


7o5o 


5iio 


4390 


3773 


3=33 


33 


34 


50,9 


8459 




5957 


5097 


4379 


3764 


3==5 


34 
35 


35 


=.4894 


=.0557 


1.843. 


1.7010 


..5941 


..5084 


i .4368 


T.l^ 


..3=16 


3'i 


477" 


o5i = 


84o3 


6990 


59=5 


5o7> 


4357 


3745 


3=08 


36 


3? 


465= 


0467 


8375 


6970 


i^ 


5o58 


4346 


3735 


3199 


37 


38 


4536 


o4s= 


8348 


6950 


5o45 


4335 


37=6 


3'9' 


38 


39 


44=4 


0378 


83 JO 


6930 


58?8 


5o3= 


43=5 


3716 


3 163 


39 


4o 


3.43.4 


1.0334 


1.8=93 


'■^ 


1.5863 


r.5oi9 


i.43i4 


..3707 


1.3.74 


40 


4i 


4=06 


0=91 


8=66 


5847 


5007 


43o3 


36^ 


3 .66 


41 


4a 




o=48 


8=39 


6871 


583= 


it 


4=9= 


3i5B 


4= 


43 


4000 


0=06 


8=1 = 


685 1 


58 16 


4=6. 


3678 


3.49 


43 


44 


3900 


0.64 


8186 


683= 


58o. 


4969 


4=70 


3669 


3. 4; 


44 


"45" 


=.38d= 




..8.5J 
8[33 


i.68[= 


..5786 


. .4956 


1.4=60 


i,366o 


..3j33 


Is' 


46 


3707 


0081 


6793 


577. 


4^3 


a 


365o 


3. =4 


46 


4? 


36i3 


0040 




6774 


5755 


493. 


364. 


3ii6 


47 




35== 




8081 


6755 


574(1 


491S 




363= 


3[oS 


48 


49 


343= 


1.9960 


8o55 


6736 


57=5 


4906 


4..7 


36=3 


3ioo 


49 
5.1 


5o 


=.3345 


'■^? 


t.8o3o 


1.6717 




'48S1 


i.4ic6 


..36.3 


' 3^3 


5i 


3=59 


8004 


6698 


^t 


tS 


36o4 


5. 


5j 


3.75 


?84= 


7979 


6679 


4869 


IS 


3o75 


5= 


53 


309, 


98^3 


7954 


6661 


sf^ee 


4856 


4.75 


3067 


53 


54 


3oio 


9765 


79=9 


664= 


5651 


4844 


4i64 


3576 


3o59 


54 


^- 


' 1^5= 




'% 


1.66=4 


7:5636" 


. .483= 


i.4i54 


1,3567 


-.j^r 


-55" 


56 


'^. 


66o5 


56=1 


48 30 


4.43 


3558 


3043 


56 


57 


=775 


6587 


56(17 


48oB 


4,33 


3549 


3.134 


57 


58 




9615 


783o 


6568 


559= 


4795 


4i== 


35aI 


3026 


58 


J5_ 


=6=6 


9579 


7806 


655o 


55?8 


4783 


4in 


353 1 


3018 


J2.. 
s. 


8 


0" C 


0" 1' 


0° » 


(P 3' 


0= 4' 


0° 5- 


0° C 


0° 7' 


0= tf 



ny Google 



TABLE XXII. [PwiM 

Proportioaal Logaiithma. 


B. 

5 
4 


k m 


rf Iff 


h m 
0° 11 


k m 

0° li? 


k m 

0° m 


k m 
0= 14' 


h m 
0= IS 


h m 
(P 1& 


k m 
0" 17' 


S. 


I.30I0 

3003 


1.3553 

3545 
3538 
353. 
3534 


■lis 

3136 


1..76. 
1755 

■737 


1408 

11 


'10H6 
1081 
1076 
J 071 


0783 
0777 
0773 


o5o7 
o5o3 
0498 
0493 


1.0148 
0344 

0335 

033. 


3 
4 


6 

I 

9 


1.3970 
5954 


,.35,7 

35lO 
3503 

34o5 
3468 


3080 


1735 


i38d 
.374 

IIS 


loOi 
io55 
.o5o 
1045 


1.0768 
0^ 
0758 
0753 
0749 


0475 
047. 


I.OJ37 
0333 
0319 
03.4 


6 

I 
9 


t3 
i4 


»9i5 

X4 


1.348. 

3460 
3453 


1.3073 
3067 
1061 

jo54 
3o48 


1.1701 
■677 


.35i 
.336 


1 , io4o 
io35 
io3o 
:o35 


..0744 
0739 
0734 
0730 
0735 


..0467 

o463 
0458 
0453 
0449 


1.0306 
0197 

It 


14 


-.5 

i6 

i8 
_12. 

33 

iS 

39 

3(1 
3i 

37 

33 
34 
35 
36 

U 

39 


-a 

3876 
3868 
>86o 


■.>445 
»438 
343 ( 
3434 

341? 


1.304t 

3o35 
3038 

aoi6 


..[671 

1665 
.660 
.654 
1648 


i.i33i 
.335 
.330 
.3.4 
.309 


i.ioiS 


'■o?.5 
0706 


..0444 
o44o 
0435 
043 1 
0436 


1.0185 
0181 

0,76 
0173 
0168 


.6 
16 

\l 
'9 


..3853 

3845 
383, 
3839 
3831 


..3410 

34o3 

3383 


.996 


1.1643 
i636 
i63o 
1614 
.6.9 


...3o3 
.398 

;a8i 


1.0989 
0984 
0979 
0974 
0969 


1,0690 

■X 

06S3 
0678 


..0433 
o4[8 
o4i3 

o4o4 


..0164 
0160 
01 56 
oi5i 
0.47 


33 

34 


1.3814 
3806 
5798 


■.3375 
3368 

3363 

3355 
3348 


'■1977 
1971 

.565 
.951 




.360 
E355 


1.0964 
D959 
0954 
0949 
0944 


..0673 
0668 
0603 
oeso 

o654 


ol'i 
o387 
o383 


..0,43 

oi3i 
0.36 


35 
36 

17 

38 

39 


1.3775 
SI 


:.334i 
a334 
3337 
a330 
33i3 


19=7 
1931 


11 

.56. 


■;as 

.338 


1.09J9 
0934 
0939 
0934 
09.9 


-a 

o64o 
0635 
o63i 


o374 
0,169 
o365 


'"on8 
01.4 

oio6 


3. 

33 

33 
34 


1.3738 
3730 
3733 
3715 
3707 


..3307 

33oo 

lis 

3379 


.1.1914 
1^ 


1.1555 

i538 
.53) 


...333 

13.7 

.307 


1.09.4 


06]. 

o6n 
q6o8 


o353 
o347 
o343 
0339 


'S 


36 
37 
38 
39 


4d 
4< 

44 


"1 

3678 
3670 


'3366 

11?, 


1877 
1B71 
i665 
i85o 


...536 
1 530 
.5.5 


....96 

.180 
1175 


1.0889 
0884 
0880 
0875 
0870 


..o6o3 
0598 
o5o4 
0569 
o585 


o33o 
0336 
o33i 


I. 0081 
0077 


40 
4i 
43 
43 
44 


46 
47 
48 

49 


3655 
3643 
3640 
3633 


■■:si 

3335 
3318 


...853 

iB46 
.B4o 
.834 
.838 


,..498 

'X 


'1164 

I'M 

..49 


o36o 
o655 
08 5o 
oB45 


i:o58o 
0575 
0S7. 
o566 
o563 


O3o8 
o3o4 


i.od6c 
oo57 
oo53 
0049 
0044 


46 
5. 

S3 

53 
54 


5l 

55 

53 
54 


3618 
3611 
j6o4 
3596 


3198 

3178 


iSi6 

■797 


■..469 

1464 
.458 
.452 
.447 


...143 

1.38 
..33 

1138 
.133 


■.0840 
0835 
o83i 
o8a6 
0831 


..0557 
o553 
o548 
o543 
0539 


0383 
0378 
0374 


1.0040 
0036 
oo33 

0038 

00 34 


56 
57 
58 
^9 


,.3589 

3583 

3574 
3567 
356o 


'ai65 
3.45 


1767 


1.144. 
.436 
i43o 
1434 
.4.9 


1097 


0811 
0806 
0801 
0797 


1.0534 
o53o 
o535 
o53. 
05i6 


].0370 

0365 
0361 

0357 
0353 


0016 
0004 


56 

57 

59 


8. 


0= if 


0° Iff 


(p 11' 


0- IS- 


(P Iff 


0° 14* 


0= Iff 


0° Iff 


0" 17' 


S. 



,,glc 



a. 


0= iff 


0° jV 


^ 


o'ai 


0"»' 


[paff 


0°24' 


ff>W 


6" 26- 


6° 27' 


6°^ 


d"^ 


8. 






"7765" 


954s 


933 J 


9>28 


8935 


8751 


8573 


84o3 


l^ 


"8387 


S^l 






9996 


he, 


gs 


93.7 




8^, 


B748 


B571) 


84qo 


807^ 






9 


5758 


93^ 


V22 


ll^ 


8745 


8568 


8397 


8334 


7924 




3 


9754 


,53, 


93,0 


91 IQ 


874> 


8565 


8395 


823i 


8073 


7921 


3 


4 


99»4 


975o 


5i=8 


93.7 




89=3 


8739 


8563 


839^ 


8338 




79t9 


4 

-5- 


~r 


9980 


9746 


9514 


93.3 


9'" 


8910 


8736 


8559 




8326 


-&m 


79,6 


6 




974i 


,i„ 


93.0 


9'o? 


89.7 


8733 


8556 


8223 


8066 


79' 4 


6 




997a 


5?S 


;s.7 


9306 


8,.3 


8730 


8553 


83S4 


83 20 


8q63 


79" 




8 


99M 


95.4 


93o3 




89,0 


8727 


855o 


838 1 


8218 


806. 


7900 


8 


_2_ 


99M 


9,3i 


55,. 


9300 


9099 


BJW 


8734 


8547 


8378 


82.5 


8o58 


9 




99&> 


97=7 


95<]6 


9^96 


9096 


8iS7 


8731 


8544 


6375 


6212 


8o55 


7904 




\l 


Hi 


97.3 
97S0 


95o3 


Kt, 




sr9i 


87,8 
8^,5 


8543 
8539 


6373 
8370 


8310 
8207 


eo53 
eo5o 




13 


i3 


994» 


97i6 


8S95 


8712 


8536 


8367 


8204 


8d48 


i3 


i4 


9944 




949. 


IIr3 


^ 




8709 


8533 


8364 


S302 


8045 


?894 


'4 


9940 


9738 


9488 


lilt 


9079 
9076 




1^ 


853d 


8367 


§;p 


-8^ 


% 


i5 


i6 


9535 


970S 


9485 




B703 


8537 


8359 


8040 


16 




9931 


9701 


Sbi 


9573 


5073 




B700 


8534 


8356 


8194 


8037 


7887 


17 


i8 


W"» 


9697 


94,8 


fM 


9070 


8879 
8876 


8697 


8533 


8353 


819. 


Bo35 


7B84 


iB 


J9. 


99^4 


,693 


9474 


9066 


8694 


85.9 


835o 




8o33 


7882 


,'9 




9920 


&. 


"S^T 


9)6j 


9063 


-8M" 


& 


"8576" 


8348" 


8186 


8o3o 


"98^ 






99,6 


946, 


9'59 


9060 


8870 


85i3 


8345 


ei83 


8027 


7B77 






99" 


968= 


9464 


9^55 


9057 


8867 


8685 


85io 


8342 


818. 


8035 


7874 




23 


99°8 


9678 


Bfi" 


925. 


9053 


8864 


8682 


85o7 


8339 


8,78 


8033 




33 


34 


99°^ 


sSl 


9455 


9349 




8861 


8679 


8504 


8337 


8175 


8020 


M 


34 


"S" 


9^ 


^ 


9453 


9545 


9^ 


8857 


8676 


8502 


-8334" 


'bt^ 


8017 


7867 


i6 


9M7 


& 


U^ 


9044 


8854 


B673 


l^ 


833i 




80,4 


7B64 


36 


17 




9664 


9=38 


904 ■ 


885 1 


8670 


8338 


s'il° 


80,2 






>8 




9660 


944. 


9=35 


^37 




8667 


8493 


8336 


8.65 


8009 


7859 


28 


J2_ 


9665 


_j6K 


SJ39 


^.3= 


9034 


8845 


8664 


8490 


8333 


8.63 


S007 


785? 


J9. 


3o 


isgr 


laT 


9435 


9w8 


-^ 


-8847 


"B667 


-8487 


-8^7 


6.59 


"eSST 


TesT 


30 


3i 




S1I 


9433 


9=a5 


9028 


8836 


8658 


8484 


83.8 


8.57 


6002 


7853 


3i 


3i 




13.8 


93 31 


9034 


8655 


848= 


83i5 


8,54 


7999 


785o 


32 


33 


lii 


9641' 


94»5 


93 18 


9021 


8833 


8652 


847? 
8476 


83.3 




7997 


7847 


33 


34 




94=. 


hi 


9"'8 


883o 


8649 


83o9 


il^ 


7994 


7845 


34 


35 






9418 


9Jra 


9Qi5 


ssTT 


8646 


84^ 


"83^ 


8.46 


'.J, 


7843 


35 


36 


9858 


9M0 


^,4 


9208 


901a 


8834 


6643 


8470 


83o4 


8i44 


7840 


36 


37 


9854 


9616 


94.< 




9008 


88111 


6640 


8467 


83o. 




7987 


7837 


37 


38 


9850 


9613 


9407 


9501 




B817 


8637 


8465 


8398 


8.38 


7p4 


7835 


36 


39 


9M6 


96-9 


3=4 


9'9S 




8814 


8635 


8462 


8396 


8,36 


7?S. 


7B33 


39 


4o 
41 


1847 
9838 


llT^ 


« 


9195 


I^ 


8877 
8808 


8632 
8629 
8626 


as 


8393 
8388 


8,33 


IV^ 


7830 
7838 


40 
4i 


4a 


9M4 


9608 


9* 




8805 


8453 


8138 


TfH 


7B3S 


42 


43 


9830 


9604 




I'm 




8802 


8633 


845 1 


8285 


8,25 


TfT 


7833 


43 


44 


9S.7 


960, 








8620 


8448 


8283 


8123 


79«9 


7S30 


44 
"ST 


"« 


1S3- 


95^7 




"9^ 






8617 


8445" 


8379 


8l30 


7966 


^8- 


46 


?s;i 


95,3 


J'S 


?<75 


89S0 


8793 


8614 


8443 


8277 


8m7 


7964 


7815 


46 


47 


?^S 


9I7I 


8?g 


SK 


86m 


8439 


8274 


8m5 


7961 


78,3 


47 


48 


98]] 


9372 


9168 


6608 


8437 


8371 


8. .2 


?|S 


78., 


48 


49 


^ 


9561 




9165 


8570 


8784 


86o5 


8434 


8369 


81,0 


7B06 


JS- 


5o 


9803 


]is 






8967 


878, 


8603 


lB43r 


8266 


8107 


7W 


7806 


5o 


5i 


9800 


936s 


9,58 


8564 


8778 


8599 


8428 


8263 


8,o4 


,95, 


7803 


5i 


5j 


9796 


957. 


9M8 


9.55 


89«7 


8775 


8597 


8425 


836. 


8>03 


794? 
7946 


7S0, 


52 


53 


VM 


9568 


9355 


91 5j 


8958 


877a 


8594 


8433 


8258 


8099 


779B 


53 


54 


9564 


^5. 


9.48 


8|54 


8769 


8591 


8420 


8355 


6097 


7944 


7796 


54 


IT 


9784 


-^ 


^348- 


9145 


8557 


8766 


"B58r 


"8477 


8^53- 


8094 


794. 


7794 


"55" 


56 


9780 


9557 


9344 


9i4> 


8948 


8763 


8585 


84 14 


8250 


8089 


?|S 




56 


57 


9777 


9553 


934 [ 


9.38 


8945 


8760 


85Sa 


84.1 


8247 


S 


58 


9773 


9550 


9337 


935 


894a 


8757 


8576 


IS 


8344 


8086 


7934 


J2_ 


_?z52. 


9546 


933^ 


^1^ 


893, 


8754 


8242 


8084 


793' 


7784 


59 


8. 


C Iff 


VIW 


cpao' 


o»ai 


OfW 


0=23' 


(PU 


CP25' 


V3& 


0°27 


0=28' 


yatK 


s. 



ny Google 



TABLE XXII. 1"^ "» 
Proportional Logarithma. 


S. 




k m 

crai 


h m 

0°3if 


A mlk « 


A m 


A n 


A m 
0"37 


A m 


A m 




A >pi 

0"41' 


B. 




77B= 
7779 
7777 
7774 


76i9 
7637 
7634 

7630 


7499 
7497 
7494 
749= 


7368 
7365 
7363 
736, 
7359 


73J8 

7336 
7334 
733a 


i 

7106 
7.04 


6986 
6984 


6871 
6869 
6867 
6865 
6863 


6753 
675. 
6749 
6747 


664a 
6638 

6635 


653o 
6530 
6537 
6535 


6433 
643. 
64™ 
64.8 
6476 
64i4 
64i3 
6411 
6409 


3 

4 

-r 

6 

8 




7765 
770' 
7760 


7637 
76.5 
7613 
7650 
7618 


7485 
7483 
7481 


7348 


7"7 
7"5 

7333 


7.03 

7093 


6980 
6^76 
6973 


6861 
6859 
685? 
6855 
6853 


6745 
6743 
6745 
6740 
6738 


6033 
663. 
6639 
6637 
6635 


6531 
65.9 
65.6 
65.6 




7755 
T753 
7750 
7748 


76.6 
7613 
76.1 

7607 


in 

7474 

7473 
7470 


7346 
7344 
7341 
7339 
733? 


B 

73,0 
7308 


7087 

7o85 
7083 


6970 
6^68 
6966 
6?64 


685. 
6849 
684? 
6845 
6843 


6734 
6733 
6730 

^38 


6634 
6633 
6630 
6618 
66.6 


65.3 
55.0 
6509 
e5o7 


6407 
64o6 
(>4o4 
6403. 
64oo 


I3 
.4 




774b 
7743 

7736 


7604 
7601 
7600 


74G7 
7465 
7463 
7461 
7458 


7335 
7333 
7330 

Hi 


7=o4 

7300 
7.98 


708. 
7079 

7075 
7'.73 


6960 

6^58 
6,56 
6954 

^53 


684o 
6838 
6836 
6634 


6735 
6733 
6731 

6719 


6613 
66.1 
6609 
6607 


55o5 
65o3 
65o. 
65qo 
6498 


6398 
63^7 
6355 
6303 
635. 


■ 5 
■6 

IS 

'9 




7734 
773i 

77M 


7W 

7586 
7583 


74b6 
7454 
7453 
745o 
7447 


7350 

73.7 

73i5 




7°^ 
7067 
7<65 
7063 


6950 
6948 
6946 
6944 
6943 


6830 
6838 
6B36 
6634 


67.5 

67.3 

67- . 
6709 


e6u5 
66o3 
6601 
6600 
6598 


64s« 
6494 
64^ 
649. 
64S9 


6366 
6384 
6383 


33 
34 


»5 

38 

»9 


7719 

7714 
7711 


7577 
7574 
7573 


7445 
7443 
744 1 
7438 
7436 


73.3 

7307 

73<4 


7185 
7.83 
7.8i 
7"79 


706. 
7059 
7057 
7o55 
7053 


6940 
6938 
6935 
6934 

^33 


6833 

6850 
68.8 
6816 
68.4 


67c<8 
67t« 
6704 
6703 


65^4 
6593 

65?^ 


6487 
6485 
6484 
6483 
648o 


6379 
6377 
6376 
6374 


36 
*; 

38 
39 


30 
3i 

33 

33 
34 


77o5 
77o3 
7700 


7567 
7565 
7563 
756o 


7434 
743i 
7439 
7437 
7455 


7296 
7.94 


7175 
7173 

7168 
7.66 


7050 
7048 
7^46 
7044 
7043 


6930 

6938 
6936 
6934 
695s 


6610 
68,9 
6607 
6605 


6698 
6696 
6694 
6693 
669. 


6i«7 
6585 
6583 
658. 
6579 


b47» 
6476 
6475 
6473 
647. 


6371 
6369 
636? 
6365 


3i 

33 

33 
34 
35' 
36 

U 

39 


36 
39 


769H 
76?6 

^8 


75':B 
7554 
7551 
7549 


74a3 

743 c 

7418 

74 r6 
74 .4 


7'87 
7385 
7.83 


7.64 

7.58 
7.56 


7040 
7o38 
7<>3fi 
7o34 
7035 


6930 

69.8 

6916 
6914 
6911 


6799 
6797 
6795 


6689 
668? 
6685 
6683 
668. 


657H 
6576 

6573 
5570 


6469 
6467 
6466 
6464 
6463 


6364 
6363 
6360 
6358 
6357 


4o 
4i 
4i 

43 
44 


7686 
7684 
768. 
7679 
7677 


7547 
7544 
7543 
7540 
7538 


7413 
74.>9 
74u7 
74"5 
74o3 


73H, 
7379 
7376 
7'74 


7.54 
7.53 
7149 

V:il 


7038 
70,6 
7034 


69,0 
6908 

69<* 


6793 

678? 

6785 


6679 
6677 

6674 
6673 


hit* 
656^ 
6565 
6563 
656. 


6459 
6457 
6455 
6453 


6355 
6353 
635i 
6350 

6348 


40 
4i 

4a 
43 
44 


46 

47 

48 
49 


7674 
7673 
7670 
7667 
7li65 


7533 
753. 
7538 
75^6 


7401 


lis 

7366 
7364 
7361 


7.43 
7141 

7135 


70B0 
7". 8 
7016 


6896 

68^4 
68$; 


6784 
6781 
67B0 
6778 


6668 
(■6'6 

f6B3 


655q 
6558 
6556 
6554 
6555 


645o 
6448 
6446 
6444 


6346 
6344 
6343 
634. 
6339 


46 
47 
48 
49 


Si 
5j 

53 
54 


7663 
7660 
76W 
7655 
7653 


75j4 
7533 
75,9 


7385 
7383 
738, 


7555 
7353 
735, 


IS 

7139 

7"4 


7010 
7008 
7™* 
7004 


6890 
6888 

6884 
6883 


6770 
6768 


M6, 
6659 
665? 
6655 
6653 


b55o 
6548 
6547 
6545 
6543 


6443 
644) 
6439 
643? 
6435 


6336 
6334 
6333 
6331 


So 
5i 

53 

53 

54 


56 
57 

5a 

8. 


765 1 


75<« 
75o3 


Si 

7374 
737a 
7370 


7344 
734:, 
7'4o 


7. .8 
7116 
7. .4 


6996 
699' 


6S79 
687? 
6875 
6873 


6764 

6763 
6759 

6t57 


665o 

FP46 
6644 


654. 
6539 
6538 
6536 
6534 


6433 
643o 

64=8 
6437 


6339 
6354 

6333 


56 

S 


CPSff 


(PSl 


003a' 


caff 


0=34' 


0=35' 


0° SffiO" 37' 


P»38' 


(fiSff 


CPW 


|o».n' 


s. 



ny Google 



'^ **(] TABLE XXII. 




B. 


A »>iA « 


A m 


h m 


A IX 


li m 


A m 


k m 


k m 


k « 


A M 


k m 




(P 49' 0=43' 


CP44' 


(fiS 


0=46' 


If 47' 


Vi& 


0=40' 


0=50 


0=51 


0=52- 


O^Sff 


S. 




6320 


6118 


6778" 


&ir 


Ti^ 


5837 


5740 


565 1 


"5563 


14^ 


-53^ 


T377 






5?'9 


6:116 


6[i7 




S9.4 


5830 


5739 


5649 


5565 


5476 


53^. 


5309 






5317 


631 5 


6m5 




59« 


5839 


5737 


5648 


5560 


5474 


^^9 


53o? 




3 


63i5 


63 13 


61 13 


6016 


59.0 


5837 


5736 


5646 


5559 


5473 


53o6 


3 


4 


f;3i3 


6311 


6113 


60.4 


i?i9. 


5836 


5734 


5645 


555? 


54?. 


538? 


53o5 


4 


~5" 


6311 


6110 


■fiTTir 


"e^IT 


59,7 


58^ 


"5^ 


5643 


5556 


5470 


5386 


53o3 


__ 


6 


63io 


6108 


6I0S 


6011 


55,6 


5833 


573, 


5643 


5554 


5469 


sW 


53oa 


6 




63ofi 


6306 




6^ 


55,4 


58ii 


573o 


5640 


5553 


546? 


5383 


5300 


7 


8 


63o6 


63o5 


6io5 


5,.3 


5S19 
58-6 


57^8 


5639 


555. 


5466 


5383 


1'^ 


8 


_-2. 


63o5 


6»o3 


6io3 


6006 


i?M 


57"7 


5637 


5550 


5464 


5380 


9 




"eaSr 


6301 




"63^ 


S3 


5876" 


1^ 


5636 


5549 


T463- 


5379 


5396 






63oi 


6n)o 


eiou 


6oo3 


58i5 


5734 


5635 


554? 


546. 


5377 


53^ 






63oo 


6198 


6099 


6ooi 


5^ 


5Si3 


5733 


5633 


5546 


5460 


5376 


5a^ 




i3 


6398 


6196 


6o5? 


6000 


5|o5 


58[3 


5731 


5633 


5544 


5459 


5375 


5a^ 


i3 


14 


6396 


6.95 


ieil 


^998 


Sal 


58io 


V'l 


563o 


5543 


545? 


5373 


539. 


.4 


~T5" 


6394 


61 g3 


6094 


5997 


590. 


58^ 


i-!'^ 


56^ 


"554r 


5456 


5373 


53I8 


'TT 


iG 


6393 


6191 




5995 


^ 


58o7 


57 ]6 


56:17 


5540 


5454 




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eaSo 
6a88 


im 


^ 


5^3 


58o6 


57[5 


56i6 


5538 


5453 


536^ 


5387 




iS 


599' 


58^7 


58o4 


57.3 


5634 


5537 


5453 


5a85 


18 


_i2. 


6186 


6087 


5990 


5895 


58o3 


57.3 


56=3 


5536 


545o 


5366 


5384 


J9_ 




"^86" 


61 85 


6o85 


5989 


^58^ 


15^ 


5710 


56ir 


I534" 


5449 


■5365" 




6]S<j 


61 83 


6084 


598? 


58^3 


58oo 


5709 


56io 


5533 


5447 


5364 


538. 






G383 


6181 


608a 


59B5 




5796 


5707 


56] 8 


553i 


5446 


536a 


5380 




33 


6381 


l;?i 


6081 


5984 


57^6 


5706 


56.7 


553o 


5445 


536. 


5379 


33 


i4 


6379 


6079 


5983 


5795 


5704 


56i5 


5538 


5443 


5359 


5>77 


34 


^5" 


-6^ 


6176 


6077 


598. 


"5886 


3^ 


-5?^ 


^MM 


15^ 


144? 


"5358" 


"5^ 


35 


a6 


6=76 


6174 


6076 


5979 


5884 


5793 


570J 


56i3 


5536 


5440 


5357 


5375 


16 




6374 


6173 


6074 


5977 


5883 


5790 
5789 


5700 


56.1 


55=4 


5439 


5355 


5=73 




38 


6373 


6171 


6073 


5976 


588i 


5698 


56io 


5533 


■543? 


5354 


5373 


a 


-J2_ 


6371 


6169 


607 T 


5974 


588o 


578? 


56^7 


56o8 


55a. 


5436 


5353 


537. 


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6^ 


6168 


6069 


5973 


M^ 


1^ 


M^ 


56^ 


5530 


I435" 


535. 


IS 


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3i 


636? 


6166 


6067 


5^. 


5877 


5784 


5694 


56o5 


55.8 


5433 


535o 


3. 


3] 


6365 


61 65 


6066 


i 


5«75 


5,83 


56^ 


56o4 


55.7 


5433 


5348 


5366 




33 


6364 


6,63 


6o64 


5874 


5781 


a; 


56o3 


55i6 


543o 


5347 


'5165 


33 


34 


6a6i 


6161 


6o63 




5872 


5780 


56oi 


55.4 


_54^ 


5346 


5364 


34 


TT 


6360 


6i6d 


"eSeT 




5H70 


5^ 


-5m 


559? 


"5573 


5438 


■534^ 


5=63 


"35" 


36 


6359 


61 58 


6059 

6o58 


5963 


5869 


5777 


5666 


S5r> 


5436 


5343 


5a6. 


36 


37 


635? 


6i56 


SiSl 


586? 


5775 


5685 


5596 


55io 


54>5 


534. 


5a6o 


37 


38 


6355 


6.55 


6o56 


i^ 


5866 


5774 


5683 


55^ 


55o8 


5433 


5340 


5358 


38 


4<i 


6354 


61 53 


6o55 


5,58 


5864 


577" 


5683 


55^ 


5507 


5433 




5357 


39 


■eisT 


6i5i 


"foST 


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3863 


W 


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5V 


■55^ 


"54^ 


li" 


1^56" 


40 


4i 


635o 


Gi5o 


6ii5i 


5955 


586i 


5768 


5679 




55o4 


54.9 
54.S 


5354 


4i 


4i 


63J8 


6148 


6o5o 


5?S4 


586o 


567? 


55o3 


5335 


5353 


4» 


43 


6147 


6i46 


6o48 


595. 


5858 


5766 


5676 


55o. 


54.6 


5333 


5353 


43 


44 


6345 


6145 


6046 


5,io 


5856 


5765 


5674 


5586 


55oo 


54.5 


5333 


5350 


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6143 


-6143- 


6045 


59J9 


^85r 


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16^ 


558r 


5498 


54.4 


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6343 


6r4i 


6043 


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5853 


576X 


567. 


5583 


54^ 


5411 


533? 


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6M0 


6[4c? 


6043 


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5853 


5760 


5670 


5583 


54?6 


5411 


5346 


47 


48 


fiQ38 


6i38 


6040 


5944 


585o 


5758 


5660 


5580 


5494 


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5336 


5345 


48 


49 


633: 


61 36 


6o3e 


5S. 


5849 


5?57 


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53a5 


5344 


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6037 


594. 


5847 


5755 


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5578 


549" 


3457 


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6333 


6t33 


6o35 


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5846 


5754 


5664 


5576 


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54o5 


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5. 


5i 


6333 


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6t>33 


5844 


5753 


5663 


5575 


5404 


53a. 


5340 


53 


53 


6330 


6.3o 


6o33 


sJm 


5843 


575. 


5661 


5573 


5487 


54o= 


5330 


5338 


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6338 


6[38 


6o3o 


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5749 


566o 


557. 


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S3i8 


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5933 


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5570 


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6ia5 


6037 


551. 


5746 


5657 




5483 


5398 


53.5 53,34 


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6133 


6ia3 


6335 


5930 


5836 


5745 


5655 




5481 


5397 


53.4 53J3 


s 


58 


6331 


6l3I 


6034 


5918 


5835 


5743 


5654 




5480 


5395 


53.3 533. 


S9 


63 30 


6t3» 


6011 


5?., 


5833 


5743 


5653 


5564 


5478 


5i?4 


53.1 5330 


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S. 


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0=44' 


0=45' 


6=46' 


lo=47'!o=48' 


0=4» 


O"^ 


0=51 


0°52'CP53' 





ny Google 



8. 


a n 
0»54' 




rse/ 


0°57' 


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0°59' 


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53J7 

53>6 
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5i46 
5i45 
5.44 


507. 
5067 

5o66 


4994 
4993 
499" 


49. 8 
4917 
4916 
4915 
49.3 


4844 
4843 
4841 
484. 
4839 


4771 
4770 

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4766 


4699 
4698 
4697 

46?6 
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4636 
46a5 
4634 


4557 

4556 
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4433 
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5.39 
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5o64 
5o63 
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5o6. 
5o59 


4986 
4985 
4984 
4983 


49.3 
4911 

4907 


4838 
4837 
4836 
4834 
4833 


4765 
4764 
4763 
4763 
4760 


4693 
4693 
4691 
4690 
46S9 


4633 

4633 

4C31 
4619 
46, S 


45.54 
4553 
455. 
4550 
4549 


443i> 
4484 
4483 
4483 
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44.7 
44.6 
44.5 
44.4 


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53.5 
53 14 
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5311 

5310 


5.36 
5i35 
5i33 
5.3i 
5.3. 


5o57 
5o55 
5o54 
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498. 
4980 
4979 


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4833 
483. 
483o 
4838 
4837 


3;s 

4754 


46HH 
4686 
4685 
4684 
4683 


4617 
46.6 
46.5 
46.4 
46.3 


4547 
4546 
4544 
4543 


4479 
4477 

4476 
4475 


44.3 
44.1 
4410 

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5106 

53o5 
53o3 


5.39 
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5117 
5.35 
5.i4 


5o5i 
5o5o 

5o46 


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4»95 


4836 
4835 
4833 

4833 
4831 


4753 
4751 
4750 

4748 


4083 

4670 
4678 
4677 


46. 

4607 


4541 
454o 


4474 
4473 
4473 


4406 
44o5 
44o4 
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16 
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a3 
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5101 

i;p 

5197 


5iaJ 

5l33 

5l30 

Si.o 
5..6 


6045 

5o4i 
5o4o 


4?66 
4965 
4964 


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489. 
4890 
4889 


4830 

48.9 
4817 
48.6 
48.5 


4746 

4745 

4744 
4743 


4675 
4673 
4671 
467. 


4eoj 
4601 


4535 
4534 
4533 
453a 


4468 

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4465 


4401 
4400 

4397 


33 
34 


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36 

a? 

38 


5195 


5i.O 
5.i5 
5. .4 

51.3 

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ri 

5o35 
5o34 


4963 
496. 
4960 
4959 
4957 


4385 
4884 
4883 


48.4 
48.3 
48.. 
48.0 
4809 


4741 
4740 

4736 


4666 
4665 


4eoo 
4S99 
4597 
4596 
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453. 
453o 
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4403 
446a 
4460 


4396 
4355 
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33 

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5i86 
5.85 
5i83 


5.08 
5.07 
5,06 
5.o5 


5o33 
5o3. 
5o3o 
5o38 
5037 


4956 
4955 
4954 
495a 
4951 


488. 
468o 
4879 
4S77 
4B76 


4&0B 
4806 
48o5 
48o4 
48o3 


4735 
4734 
4733 
4733 
473o 


4664 
4663 
46C3 
4660 
4659 


4S94 

45?3 
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4535 
4533 

4533 

4530 


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4455 
4454 
4453 


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33 
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35 
36 

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5i8i 
5i8i 

5l77 


5.o3 
5ioa 
5.01 


5o36 
5o35 
5033 

5033 
503. 


4950 
4949 
4947 

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4875 
4874 
4873 
4871 
4870 


480. 
4800 

4797 


4719 
4738 

4734 


4058 
4657 
4656 
4655 
4653 


4585 
4584 


45.5 

45.7 
45.6 
45.5 


4450 
4447 


4385 
4384 
4383 
438. 
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37 
38 
39 


40 
41 

43 

43 
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5095 
5094 

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5093 


50,9 

50.S 
5017 
5oi6 
5o.4 


4944 


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4866 
4865 
4864 


479S 
4794 
4793 

479^ 
4791 


4733 
4733 
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4730 
47'B 


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465. 
465o 
464? 
4648 


4583 
458. 
458o 


45 14 
45.3 
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45.0 
4509 


4445 
4444 
4443 
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5i65 
5.64 


5o86 
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4933 
4?3, 


486. 
4B6o 


4787 
4786 

4785 


4717 
4716 
47.5 


4645 
4644 
4643 
4643 


4577 

4575 
4574 

4573 

4571 


45o5 
45o3 


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4373 
437a 
4370 

4369 


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48 
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5o83 
5o8i 
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5oo5 
5oo4 
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4856 
4855 
4854 
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4853 


4783 
4783 
478. 


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4630 
4633 
4637 
4636 


4571 
4570 
4569 


45o. 
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4434 

4433 
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4367 
4366 
4365 
4364 


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53 

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55 
56 

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5i54 
5i53 
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5i5o 


5077 
5076 
5075 
5073 
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4931 
493'> 


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4848 
4847 
4845 


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4775 

4774 

4773 


4704 
4703 
4703 

470 r 


4635 
4633 
4633 
463. 
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4565 
4564 
4563 
4563 
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4497 
4495 
4494 
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4437 


4363 
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4097 


4035 


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3676 


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3963 


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3738 


3673 


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4o34 


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3786 


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4371 


4307 


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4368 


43o5 


4i43 


4080 


40,9 
40.8 


384o 


3783 


3735 






4333 


4304 


4.4. 


» 


3557 


3839 


3781 


3734 






i3 


4333 


4367 


43o3 


4.40 


4017 


39% 


3897 


3838 


3780 


3733 




33 


34 


433. 


4366 


43D3 


4139 


4077 


4o.6 


3555 


3896 


3837 


It 


3733 


3655 


34 




433o 


4365 


430I 


4i38 


4^ 


4oi5 


3954 


3895 


383r 


3731 


1664 




36 


4330 
4338 


4364 


4300 




4075 


4oi4 


3953 


38^4 


3835 


3777 


3730 


3663 


36 




4363 


& 




4074 


4oi3 


3,5i 


38p 


3834 


3776 


ll'^ 


3663 




i8 


4337 


43fi3 


4i35 


4073 


4013 


39S. 


i ; 


3833 


3775 


3663 


38 


'9 


4336 


4361 


4197 


4i34 


4073 


401 1 


Sjso 




3833 


3774 


37"7 


366i 


39 


^T 


4335 


4360 


4T^ 


-jnr 


4071 


4010 


l$t 


M 


mr 


1773" 


376" 


3ti6o 


3o 


3. 


4333 


ilU 


4.95 


4l33 


4l>7" 


4009 


383o 


3773 


37i5 


^^ii 


3. 


33 


433 3 


4i?4 


4.3. 


IS 


4cJ 


3S7 


3830 
383S 


377. 


3714 


33 


33 


4331 


4356 


4193 


4.3o 


4007 


3546 


3887 


3770 


37.3 


3657 


33 


34 


4330 


4355 


4.93 


ili9 


41*7 


Ao^A 


3^5 


3886 


3837 


4^- 


37.3 


3656 


34 


"^r 


13TT 
43ifi 


"4314 




4138 


4066 


4oo5 


3944 


IssT 


Isle" 


371. 


3655 


-IT 


36 


4353 


i'h 


4.37 


4o65 


4004 


3943 


3884 


3835 


3?68 


3710 


3654 


36 


3? 


43i7 


4353 


4.36 


4o64 


4oo3 


3S= 


3883 


3834 


3767 


3709 


3653 


37 


38 


43j6 


4351 




4.35 


4o63 


4003 


35. 


3883 


3833 


3766 


l^^ 


3653 


38 


3? 


43i5 


435o 


4186 


4.34 


4063 


4doi 


SSo 


388. 


3833 


3765 


365. 


39 


40 


43 14 


Hit 


4i85 


4.33 


4061 


4000 


w 


aalT 


"38lr 


-l?g 


-WoV 


365o 


4o 


4i 


43 i3 


4i84 


4.3. 


4060 


^ 


3B7S 


3830 


3706 


3549 


4i 


43 


43i. 


4347 


4iS3 


4l3U 




3937 


3830 


3763 


3705 


3 


43 


43 


43,0 


4346 


41B3 




4o58 


3ot 


3^8 


3877 


38.9 
38 iS 


376. 


3704 


43 


44 


4309 


4345 


418, 




4o56 


3996 


3935 


3876 


3760 


3703 


3647 


44 




4338 


4344 


4180 


ITT7 


4o55 


3995 


3934 


IbW 


1877 


'^ 


3703 


3646 


45 




43o7 


4343 


4179 


4116 


4o54 


39,3 


3933 


3874 


35,6 


3701 


3645 


46 


47 


43o6 


4341 


4178 


4. .5 


4o53 


399" 


3,3. 


3873 


38i5 


3757 


3700 


3644 


47 


48 


43o5 


4->4o 


4177 


4114 


4o53 


3991 


393. 


3873 


3Bi4 


3756 


i?2 


3643 


48 


4? 


43o4 


43391 


4.76 


41.3 


4o5i 


3W. 


3^ 


387. 


38.3 


3755 


3643 


^'- 


-ST 


"4331" 


4338 


4175 


4.13 


HiS^ 


SI 


gl 


"38^ 


38i3 


3754 


36y7 


364i 


5i 


43u3 


4337 


4i74 


4.11 


4049 


l^ 


38] 1 


3753 


3(Mi 


364o 


5i 


53 


43oi 


4336 


4.73 


4.10 


4u48 


3987 


39=7 


38.0 


3753 


36,5 


IS 


53 


53 


41oo 


4335 


4173 


u 


4047 


3,56 


39.6 


3867 


38Q9 


375. 


369( 


53 


54 


4398 


4334 


417' 


4o46 


3,85 


3,.S 


3866 


38o8 


375o 


36,3 


3637 


54 


-^ 


4397 


"4333 


4168 




7345- 


39H4 


3934 


"MT 


18^ 


ss 


rlii^ 


3636 


"sT 


56 


4396 


4333 


4io6 


4o44 


3983 


39.3 


3864 


38rfi 


36,3 


3635 


56 


57 


4395 


433i 


4167 


4io5 


4043 


398J 


39J> 


3863 


38o5 


3747 


36,, 


3635 


57 


58 


43^4 


433o 


4166 


4.04 


4.^3 


i^jAi 


3,., 


3863 


38..4 


3746 


Si 


3634 


58 


59 


4393 


4339 


4i65 


4io3 


404. 


3,So 


3,.;. 


386 1 


38o3 


3746 


3633 


J2_ 


S. 


l-ff 


r?' 


l^S- 


Vtc 


1" Iff 


PIl' 


,0,2- 


ria- 


i»I4' 


1 15' 


vw 


VVT 


8. 



, ,v Google 



ny Google 



ffm TABLE XXII. 




Proportional Logsritbms. 




S. 


A m 


J ,.11 » 


A mlA m 


k m 


A m 


k m 


h m 


A m A «.IA ™ 


S. 


PStf 


1°31 


I-'W 


l''3:J'P34 


rsff 


vm 


I'-S? 


i-ae- 


]=3y 


IMC 

3553 


i''4r 

35jo 




"3^' 


1^ 


39(5 


3868 


38a i 




3730 


TeeT 


3640 


3596 




3oo9 


.96. 


3914 


3B67 


3831 


3775 


3739 


3684 


a64o 


35^6 


5553 


3507 




3 


a 


''1; 


3$,3 

391a 


3866 
3666 


3830 
38,9 
3818 


3774 
3773 


3719 
3738 


3684 
3683 


s 


a5$5 

35^ 


355i 
355. 


3 


_4_ 


3007 


■S 


39' 3 


aB65 


3773 


3737 


368a 


3638 


3593 


j55o 


3507 


4 




lSi« 


^?5r 


39JI 


^864" 


laTT 




1^6" 


lesT 


3637 


15^ 


7547 


^5ii6" 


6 


3oo5 


.Sm 


J9IO 


3863 


3817 




3735 


3681 


3636 


3593 


354S 


a5o5 


6 




3oo5 ; 3957 


3909 


aS63 


3816 




3735 


3680 


3635 


355, 


3548 


a5o4 


7 


8 


3«>4 1956 


JP 


3863 


38i5 


3769 


3734 


'^l 


3035 


355. 


3547 


35o4 


8 


_2_ 


3oo3 1 3955 


3fl6l 


3815 


3769 


3733 


3634 




3546 


35<.3 


^ 




1^ 


15m 


3907 


1855" 


^67T 


3768 




IW 


3633 




7545- 


a5o3 




3ooi 


.?M 


3?:^ 


3859 


3813 


3767 




3677 


3633 




3545 


a5(>3 






3ooi 


5953 


3905 


'^ 


3813 


3766 


3731 


3676 


3633 


3588 


3544 


a5oi 




i3 


3ooo 


.^ 


3^5 


3811 


3766 


3730 


3675 


363 1 


3587 


=543 


350O 


.3 


i4 




■Js, 


39"4 


3857 


a8ii 


3765 


3719 


3675 


363q 


3586 


3543 


'499 


14 


i5 




=950 


39113 


1856 


laT^ 


3764 


3719 
3718 


3674 




7585 


I54T 


li^ 


i5 


i6 


=997 


1950 


3903 


3855 


ti 


3763 


3673 


3639 


=585 


354. 


■6 


17 


»997 


:b 


390 [ 


3855 


3763 


3717 


3673 


3636 


=584 


3 54o 


3497 


'7 


.S 


>99e 


3901 


3854 


a8o8 


3763 


3716 


3673 


3637 


3 583 


3540 


3497 


18 


■9 


i? 


'^7 


39™ 


3853 


3807 


376 r 


3716 


^^ 


3636 


3583 


^539 


1496 


J9_ 


»9'/4 




'^ 


7857 


la^r 


Ti^ 


37i5 


3670 


■^6^ 


TsS" 


3538 


3495 






9y9l 




3853 


3805 


376,. 




3669 


3635 


358. 


3538 


3494 






^3 


.?45 


.8|i 


385 ■ 


381.5 


VM 


3713 


S 


a6a4 


358o 


3537 


.49] 




j3 


'99' 


ag44 


3897 


385ii 


3804 


37l3 


36a4 


358(1 


= 536 


3493 


33 


U 


3991 


1943 


.8^ 


^849 


38o3 


3757 


a7;3 


3667 


3633 


JIJI 


3535 


349i 




i5 


'X 


3^41 


3895 


3848 




3756 


3711 


1656" 


3633 


357B 


^535 


a4o3 


i6 


3943 


=S94 


3848 


380 [ 


3756 


3710 


3666 


3631 


=577 1 3534 1 3491 


a6 


'7 


:>98q 


394' 


389J 


3847 


38.>l 


3755 


3710 


3665 3631 


5577 1 353; . i49r 
357f! 3533 M89 


% 


.8 


>^ 


3940 


.8?3 


3846 


3S00 


3754 


3709 


3664 , 363c 


=9 


.P; 




.1?. 


3845 


3799 


3753 


3708 3663 a6io 


.575 3533 1 3469 


39 

V 


^T 


ijss- 


]§" 


3891 


a845 


3798 


3751 


37-7,3663 1.6.8 


35741353. |346o 


3i 


.Jm 


■i;, 


3844 


3798 


3753 


i7O7'3ii(i3ls0r8 


3574 


a53o I 3487 


V 


3j 


398S 






3843 


3797 


375. 


1706I36C1 ] 36[7 


3573 


a53o j 3487 


3= 


33 


>S4 


3936 


3843 


379& 


375^, 


a7'.5 1 366-j 1 3616 


3573 


= 530 

35aS 


3486 


33 


34 


■PS 


3^5 


384a 


3795 I 375r 


3704 3660I3615 


3573 


=485 


34 


~r 


"i^ 


lp5 


"S87' 


384t 3795"'. ^749 


3704 


3^^ 


36i5 




3537 


3485 


35" 


36 


>^, 


3934 


.HJ 


364o 1 3794 1 --748 


3703 


35 r4 


3570 


3537 


3484 


36 


3? 


.|i, 


35.33 


SS 


3793 


3747 


3703 


"!^ 


36i3 


3569 


3536 


3483 


37 


38 


3^ 


3933 


3885 


3793 


3747 


3701 


3657 


j6ra 


i^ 


3535 


3463 


38 


39 


1979 


.5, 


3884 


3838 


'793. 


3746 




=656 


36r3 


3535 


3483 


39 


do 


1^ 


isr 


3883 


183? 


3791 


3745 




3655 


361 1 




35j4 


3481 






=977 


;S8 


3883 
3883 


3836 
a835 




3744 
3744 


Jin 


3655 
3654 


3610 
3610 


=566 


3533 
= 533 


3480 
3480 


4. 
43 


43 


'Si 


3881 


a835 


3743 


=«5 


3653 


a 


3565 


3533 


iZt 


43 


44 


.^5 


=9=7 


3880 


3834 


3788 


3743 


3697 


3653 


3564 


3531 


44 


*45- 


3974 




3880 


183T 


Ti^ 


3741 


ifi96 


3653 


3607 


3564 


3530 


3477 


45 


46 


3973 


»^c 


tl 


3833 


3786 


3741 


■ B9S 


365 1 


3607 


3563 


35=0 


3477 


46 


47 


J973 1915 


383 [ 


3785 


374" 


.6,5 


365o 


36<* 


356= 


SI 


3476 


47 


4S 


•971 aqi4 


38^ 


383 [ 


3785 


%i 


=6,4 


3649 


36o5 


=56. 


3475 


48 


49 


J?Z1 


'9'4 


1876 


383o 


3784 


.6,3 


3649 


3604 


356. 


a5i7 


3475 


ip- 


"1^ 






3876 


igr 


"alar 


3738 


.6,. 


3648 


a6o4 


356o 


35.7 


3474 


so 


5i 


3969 




3875 


3783 


3737 


.6,. 


3647 


36o3 


3559 


35.6 


3473 




5> 


i 


atpt 


3874 


3838 


3783 


3736 


.6,1 


3646 




\l^ 


35i5 


3473 


5a 


53 


vfla 


3ft73 


3817 


378 T 


3735 


^9 


3646 


3601 


35t5 


3473 


53 


^ 


■9S 


7930 


3873 


3836 


3780 


3735 


3645 


36ni 


3557 


35i4 


3471 


54 


■«■ 


1*6 


:?;i 


187a 


l8^ 


3779 


3734 


'^ 


3644 


a6oo 


3556 


35.3 


3470 


55 


56 


3965 


387. 


3835 


;;;i 


3733 


3643 


3599 


3556 


35.3 




56 


57 


.Ss 


3917 


aSTO 


3834 


373a 


3687 


.643 


l^ 


3555 


a5i3 


346? 


57 


58 


■9» 


39T6 


3869 


3833 


3777 


3733 


3687 


3S43 


3554 


35m 


58 


59 


.^ 


4.6 


ai^ 


38>3 


3776 


373. 


3686 


a64[ 


iV 


3553 


i5)c 


3467 


J2_ 


8. 


rac 


1-3]' 


pay 


IIH 


I'a* 


i-ss- 


V9e/ 


J" 37 


iOSff 


I'ay 


ill* 


1°41' 


B. 



,y Google 



TABLE XXII. 


,^..| 


Proportional Logarithnii. 1 


8. 


A m 


U mlA m 


K m 


k m 


h m 


k m 


A m 


A m 


A m 


A m 


h m 


S. 


]"42 


|l° Wll" 44 


fiS 


vm 


1='47 


IMS' 


l°4tf 


rsc 


P51 


i°5» 


1-53' 




1467 


3434 3383 


1347 


liiS- 


IS 


HTF 


1;^ 


I'M 


1099 


1^ 








2466 


3434 1 3383 


3340 


V^ 


1118 


1178 


l^ 


3060 








M65 


3433 1 33a. 


3339 


3358 






3137 


1059 






3 


a465 


343J , 3380 


IS 


3398 


3357 


33l6 


3176 


3i37 


.ojs 


S 




3 


i 


3464 


3433 


33Sd 


"y. 


3356 


3316 


3,76 


3,36 


.097 


_3oig_ 


4 


— T 


l^eT 


3431 


SI 


I337 


1^ 


1^56" 




ITTs" 


ITsT 


3096 


IS57 




~r 


6 




3430 


3337 


3356 


3355 


33,4 


3r74 


3i35 


.0^6 


3057 


6 


7 


a46i 




3378 


3336 


33;5 


3354 


33.4 


3174 


3l34 


.^ 


3.156 






6 


346i 


34.9 
34ia 


3377 


3335 


3394 


3353 


33l3 


3173 


3,34 


1^ 


3o55 




S 


_2. 


3460 


3376 


3335 


3394 


3353 


1313 


H73 


3i33 


j<5i 


3o55 


30,6 


_9_ 




14^" 


3417 


13W 


l33T 


T^ 








3,33 


>=93 


3o54 








.IS 


34 [7 


3375 


3333 


3393 


135 [ 






3,33- 


1093 


1053 


»oi5 






3416 


3374 


3333 


3391 


335l 




3.70 


3[3l 


109J 


io53 


3014 




i3 


3458 


341 5 


3373 


3333 


3391 


3350 




3C70 


3i3o 


3091 


3053 


30l4 


,3 


i4 


3457 


341 5 


3373 


333i 


3190 


3349 


"°9 


3r69 


3,3o 


.090 


3o53 


30l3 


i4 
IT 


■ 5 


1456 


34 14 


i37r 


333 1 


1^ 


v.t 


3308 


lif 


V.lt 


s 


305l 




.6 


3455 


34l3 


337. 


3330 


!!^ 


3308 


io5o 




16 


17 


3455 


3413 


3371 


11^ 


3347 


3307 


3.67 


3138 


305o 




17 


.8 


3454 


34[) 


3370 


3387 


3 347 


3306 


3167 


3117 


3088 


ra 




iS 


,..'9, 


j453 


34m 


3369 


3338 


33i; 


3346 


3306 


3,66 


3,36 


3087 


1010 


■9 




l45r 


34ro 


3368 


3337 


1^ 




1305 


ITer 


1Z36 


1^86" 


3o48 


3009 


30 




345. 


34 ro 


3368 


3336 


3385 


3345 


3 304 


jr65 


3,35 


3086 


3047 


3 






345 1 


lU 


3357 


3336 


3385 


3344 


33o4 


3i64 


3,34 


3o85 






=3 


M5o 


3366 


3335 


3384 


3343 


33o3 


3i63 


1,34 


3o85 


3o46 


3007 


33 


i4 


345o 


3408 


3366 


33=4 


3 383 


3343 


3303 


i[63 


3,l3 


3o84 


3045 




34 


"TT 


;jg 


3407 


1365- 


3334 


3383 


1343 




"IIST 




3o83 


3044 


13^ 




36 


34o6 


3364 


3333 


3383 


3341 




3161 




3o83 


3044 


3O05 


36 


37 


344a 


34o5 


3364 


3333 


3381 


334l 




3t6i 




3o83 


3043 


30o5 


37 


i8 


3447 


34o5 


3363 


3333 


3381 


3340 




3160 




3081 


3043 


1004 


38 


_i9. 


>446 


'4o4 


3363 


333 [ 


3380 


"^9 


="P9 


3>59 


3I30 


3081 


3043 


3O03 


39 


So 


M4r 


MS- 


l36r 


l3l^ 


3379 


^3^ 


3,98 


liU 


V.ll 


ISS" 


3o4l 




"17" 


3i 


3445 


34o3 


>36t 


33lO 


Vi 


3,^ 


3079 


304l 




3, 


3j 


3444 


3403 


3360 


33t9 
=3ift 


3337 


1197 


3.57 


1118 


51 


3040 




33 


33 


=443 


3401 


3359 


3377 


3337 


3>96 


3i57 




1^ 




33 


34 


3443 


34o- 


3359 


33,7 


3377 


3 336 


3.96 


3,56 


3, ,6 


3077 




3O0O 


34 


"35" 


1443 


3400 


3353" 


33i7 


11^ 


1^35- 


3195 


31 55 


3116 




1338 




"sr 


36 


i44i 


'^^ 


3357 


33i6 


3375 


3335 


3194 


3i55 


3, .5 


3076 


3037 


:P2 


36 


^1 


344 r 


335; 


33.5 


3374 


3334 


3-94 


3.54 


3115 


1075 


3o37 


37 


38 


344" 


.398 


3356 


33i5 


3374 


3333 


3.93 


3[53 


3114 


3075 


3o36 


199B 


38 


J9. 


3439 


>W: 


3355 


33i4 


3373 


3333 


ii21 


3i53 


3ll3 


3074 


1035 


'997 


J2_ 


4o 


343B 


13^ 


1355" 


IJTT 


3371 




3191 








1^35" 


-7^ 


T^ 


4i 


MJ8 


.3,6 


3354 


33i3 


3373 


3331 


3191 


3l5l 




3073 


3o34 


,996 


41 




3437 3395 


3353 


33l3 




333t 


3190 


3l5l 






3o33 


1995 


43 


43 


3436 3394 


3353 


33ll 




3330 


vs, 


3.5o 






3o33 


1994 


43 


44 


a436 


■3,4 


3353 


33ll 


3370 


3339 


^t 


1110 


i^l 


io33 


■994 


i4 


"ST 


3435 


^553" 


i^r 


33lO 


13 


'a 


ITer 


311 


3,09 




3o3j" 


.993 


"45" 


46 


3434 


■ 3|. 


335o 


3309 




;S 




3C3l 


'993 


46 


47 


3433 


>39, 


335o 


f^ 


3368 


3337 


3187 


3 [47 


s 


3o3o 


1993 


47 


46 


3433 


.!?, 


IIS 


3307 




1186 


3l47 




io3o 


1991 


48 


9 


3433 


=3j, 


,3^ 


3366 


3336 


1186 


3i46 




3068 


1039 


,99, 


49 





I437 


135^ 


3348 


ISf 


3366 




-^785" 


1T45" 


T.56- 


3067 


1^ 


:^ 


"5S- 




343i 


li 


3347 


33o6 


.365 


3335 


1184 


3,45 


3Io5 


3066 


3038 


5i 




343o 


3346 


33o5 


3364 


3 334 


1184 


3:44 


3io5 


3066 


3037 


S 


53 


3 


3439 


3387 


3346 


33o4 


3364 


1333 


3i83 


3l4S 


3104 


3065 


3036 


53 


54 


3439 


3387 


3345 


33o4 


3353 


3333 


3183 


3,43 


3[03 


3C.64 


3036 


■967 


54 
1:5- 


"sr 


l4^ 


1386- 


I34T 


iM" 


isr 








1773" 


17*T 




1987 


56 


3437 


3385 


3344 


3303 


3363 




3181 






3o63 


1035 


,586 


56 


57 


3436 


3384 


3343 


33o3 


3361 




3180 


1141 




H>63 


3034 


,586 


57 


58 


3436 


3384 


3343 


i3oi 


3360 


3330 


3 [80 


3t4o 




3063 


3033 


,^85 


58 


5? 


3435 


3383 


3343 


33oo 


3360 33.9 


3179 


3.39 




1061 


3033 


19B4 


J2_ 


8. 


1"42' 


r43' 


1''44' 


i-'iS' 


1° 46'IP 47' 


\°A» 


■'4i>' 


J~5ff 


P51' 


vsa! 


PSff 


a. 



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s. 

3 
4 
5 
6 

I 

9 

w 

14 
iS 

i6 
'7 
iB 
19 


P54' 


FSff 


V-Sff 


psr 


PSS' 


psa- 


a° 6- 


^ i' 


IS? 

1687 
1687 


a" 3' 


SP 4' 


S. 

3 

4 
5 
6 

i 

9 


■9»4 

■.$1 
■$ 

rsHi 
,980 
'979 

'977 
1977 
.776 
.975 
'775 


.94l> 

.944 
195 
.,43 


1906 


.B71 
1870 


.tt34 
.833 
1 833 
1833 
i83i 


'797 
1797 
1796 
1795 
1795 


17(" 

1760 
.76. 
1759 
■ 759 


1734 

17J4 

J 733 
1733 


.654" 
.653 
i65j 
.653 
i65. 


.6)6 

16.7 

1617 

.6.6 


i 

J939 
193a 

,,38 
1,37 


i9.,5 
1904- 
1904 
■5o3 
19..3 
E903 

'9°' 

.9D1 


1H6B 
.8r.7 
1S67 

[866 
iB65 


iB3i 
.83o 
i83o 

16M 


1794 
1794 
1793 
1791 
1793 


I7i8 
1757 

.755 


.71: 
1731 

1719 


.686 
.685 
.684 
.684 


.65o 
i65o 


1616 
16.5 
.6.4 
16.4 
■6.3 


iS« 
i854 
i863 
1863 
18G3 


.6=7 
.837 
1836 
1855 


179' 

1791 

T7H9 


,755 

1754 
1754 
1753 

175> 


'717 


i683 
.683 
il>8a 
i68[ 
1681 


.648 
1647 
1647 
.646 
1645 


.6.3 
16.3 
.6.3 

16.0 


.3 

.4 

-is 

.G 
[S 


1974 
'974 
1973 
,971 
1971 


US 
IS 


155s 

,B,7 
,»,6 


i8ba 
i80r 
iSfio 
1860 
.359 


1833 
i3» 


1788 
178B 
1787 

.786 
.7H6 


I75' 
1751 
1750 
1749 


lilt 

1714 
.714 


J68a 
1680 

,678 


.644 
.644 
.643 
.643 


.6.0 
.609 

;^ 
.607 


34 


1971 
1970 
1970 


If 

1933 

193. 

.q3. 


.854 

■ a54 

.8,3 


|gg 

.857 
.857 
i855 


1830 
.819 


1785 
1784 
17H3 
.783 


'.lit 

1748 
.747 

1746 


;7.3 


,(i77 
IS 

1676 
.675 


.641 
i64i 
.64o 
i64o 


IS 

.606 

.605 

i6o5 


J3 
94 


a5 

a? 
a8 


lis 


.930 

.939 
1938 

.938 


,8,3 

,89, 
,89, 
,8,0 


.855 
.854 
.854 
.853 


.8.7 
1S16 


17b3 
1781 
178. 
.780 
1780 


.746 
1745 
1745 
1744 
1743 


1710 
.709 

1^ 

.708 


1674 
1674 
1673 
.673 
1673 


SI 

is; 

.637 


1604 

.6o3 
i6o3 
1601 


3; 
a6 

39 


3o 
3i 

33 

33 
34 

-w 

36 
37 

38 
39 


196S 
i?g 


T937 
1936 
19.6 
1935 
1934 


,889 

ISSI 

■ 888 
1887 


.953 
1651 
i85o 
i85o 


i8i5 
,814 
t8i4 


i;?i 

.778 

'777 


1743 
.743 
174a 
174. 
1740 


1706 
.706 
.705 
.705 


.67. 
167 I 
,670 

lis 


.636 
.635 
.635 
.634 
.634 


.601 
.600 

I599 
.599 


3o 
3. 

33 

33 
34 

IT 

36 
37 
38 

4. 
4a 
43 
44 


1 

i960 

■V59 


T934 
.933 

1933 
1953 
[931 


1886 
i885 
1884 
.884 


'849 

IS 

z 


1813 
1811 


1775 
1775 
1774 
1774 


.740 
'If 

'ii 


1704 
.703 
.703 
170a 
.703 


1668 
1667 

IS 


.633 
.633 
.633 
.63. 
.63. 


.598 
i5|6 


4o 
4[ 

41 

45 

44 


l?P 

Igi 
1J56 


193. 
1930 

'9'9 


1883 
[883 
1881 
1881 
]88i 


■ 845 
1846 
1845 
1844 
1644 


1808 
.81.7 


1773 
1771 
1773 

1771 


1737 

1736 
.736 
1735 
.734 


.700 

■i 

1699 


.665 
.664 
1664 
.663 


,63o 
i63o 

IS! 

,638 


1^ 


45 
46 
47 

48 


[955 
Ig 
l?l 


.9.8 
19.7 

,9,6 
1915 


1880 

IS 

.878 


t84J 
,843 

z 

.841 


i8u6 
i8<.5 
iB()5 
1804 




1-34 
.733 
.733 
173a 
173. 


■1 


.663 
.661 
166. 
1660 


,637 
.6a7 
.636 
1616 
.63S 


15,. 
i5,, 
,59, 
,5,0 


1^ 
49 


-50 
5i 
51 
53 
54 

56 

U 


,V5. 
,95. 

■9S, 

l?£ 


.9'4 
.9.4 
19.3 
■ 9.3 

1911 


.876 
1876 
1875 
1875 


.840 
.839 

.838 
.838 


[8o3 
1803 
1803 
1801 


17<)7 
1766 
.766 
1765 


■7J< 
.730 
1730 


,65< 
■ 65 

,25 


|g| 

1658 
.657 


1634 
.634 
1633 
1633 
163a 


is 

.588 
.587 


5i 

5a 
53 

54 


'3 
IS 


1911 
1911 
1910 
1909 


-874 

.873 
.873 
,873 

1 871 


18J7 
1836 
.836 
.835 
i835 


180CJ 
1800 

iS 


.7W 
1763 
1763 
.763 
.763 


1738 
1737 

13 

.7=5 


,69. 

,69= 

.6,0 


.656 
.655 
.655 
i654 


l63I 

,630 
1610 

16.9 


1&' 
.585 
.585 
i584 


56 

57 
58 

59 


V5S 


pse- 


P57' 


i°r.8' 


FSSV 


a° c 


^ y 


2" » 


3° 3' 


VP 41 


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3 
4 


V'S 


2° ff 


T7- 


yw 


yy 


a^itf 


2=11' 


^'la' 


yiy 


2»M' 


2° 15' 


s. 


.583 
i58a 
i58a 
i58i 


i548 
1 547 
1 547 


.5.4 

15.4 

i5i3 
i5ii 


.48. 
i48o 
1479 

in 


1447 
.446 
1446 
.445 
,445 


i4i3 
,4.3 
i4ia 
Mia 
i4ii 


1379 
1378 


.347 
i346 
.346 
1345 
i345 


.3.4 
13.4 
.3.3 
,3.3 
i3,a 


138a 
.381 
1381 
i»8o 
laSo 


.349 

Wit 

ia48 
ta47 


3 
4 


6 
8 
9 


l58i 

i58o 
.580 

IS? 


1 546 
i545 
.544 
1 544 


i5ia 
i5.i 
i5ii 
i5io 


1478 
■477 

1476 


1444 
.443 
1443 
>44a 
.44a 


i4ii 

i4i" 
,409 


■ 377 
1376 
.376 
1375 


.344 
i344 
f343 
.343 
.34a 


i3t. 
i3io 
i3,<, 
,3o9 


;k8 

1178 

1177 

1377 


1346 
1345 
,345 


6 

8 

_9. 

i3 
14 

-rr 

.6 

.8 
19 


i3 
i4 

i8 
•9 


.577 
i576 
.576 


■ 543 
i54a 

.54a 
i54i 


.5o8 
.507 
i5o7 


.475 
1474 

■474 
1473 
1473 


i44i 
144. 
i44o 
i44o 
.439 


i4<* 
1407 

i4o6 


1374 
.374 

m 

.37a 


,34a 

.340 

.33, 


■Si 

.3o8 
>3o7 
.307 


1376 
.375 

.374 


,344 
,34' 
,a43 
ia4a 
ia4a 


.574 
.574 
:573 
.573 


i54o 
.539 


.5o6 
]5o6 
i5o5 
.5o4 
.5«^ 


147a 
147; 
:470 
i4t" 


1438 
1438 
1437 


i4o4 
i4<>4 
.4<.3 
,4o3 


.37a 

.37. 

1371 


.338 
■ 337 
.337 


i3o6 
i3o5 
.3o4 
i3f.4 


1374 
.373 
.373 


134. 

114. 

ia4" 
.339 


i3 
a4 


.571 
.570 
.570 


.537 

(536 
i536 
i535 


i5o3 
t5o3 
■ 5oa 
i5oi 
i5oi 


.409 

:s 

.458 
.467 


.436 
1435 
1435 
1434 
1433 


i4(>a 
.40a 
.401 
.401 
,4m 


.368 
,367 
.367 


,336 
1335 
i335 
i334 
.334 


.3c.3 

l3o3 

i3oa 
,3o. 


.370 
.369 


ia38 
.337 
.337 


33 

a4 

^r 

a6 

38 

39 
-3^' 
3. 

33 

33 
34 

TT 
36 
37 
38 
39 
4<i 
4. 
4a 
43 
44 

^45 
46 
47 
48 
49 


j6 

iS 
?9 
TT 
3i 
3i 
33 
34 

36 

S 

39 


.569 

IS 


.534 
.534 
i533 
1 53a 


.5o<, 
i5oo 
.499 


1467 
.466 
.465 
.465 
1404 


1433 
.43a 
.43a 
.43i 
.43. 


1 
,3.), 


,366 
.366 
.305 
.365 
.364 


.333 
i333 
i33a 
i)3a 
i33. 


i3i>i 

i3o,> 
i3oo 


.368 
,368 

,367 


.335 
.335 
.334 
1334 


1 566 
1565 
i565 
.564 


i53i 
.531 

.53o 
.530 


,4,» 

1496 
1496 

.4,5 


,464 
1463 
■ 463 
.46a 
146. 


i43.> 
■ 4a9 

'.tl 

.4a8 


■ V7 

.3.^ 

,3^ 
.3*1 


.363 
.363 
.36a 
i36a 
.36. 


>33. 
,33o 
i3a9 


.297 
ii 


I36fi 

.365 
.364 
.364 
1363 


.333 
ia33 
ia3a 

,333 
133, 


i56J 
.563 
.562 
l56a 
[56i 


i5a8 
.5)7 
.527 


.4,1 
.4,4 
.454 
l4iJ 
.4,3 


.401 
.460 
.460 
.459 
.459 


I4a7 
.4=7 
i4'6 
l4a6 
.4a5 


.394 

1 


,36. 
.36" 
.36n 
.359 
.35$ 


,3a8 
i3a7 
,3j7 
i3a6 
.3a6 


,a95 
1195 
1=94 
ia94 
.393 


.363 
1 36a 
i36a 
.36. 

.36. 


.33l> 

.33o 

.339 


4o 
4i 
4a 
43 
44 
45 
46 
47 

1 

5[ 
5a 

53 
54 


.56. 
.56o 
.559 


.5a6 
l5a6 
.525 
.5a4 
.524 


1 


.45H 
.453 
1457 
.456 
,456 


i4a4 
■ 4)4 
l4a3 
.4a3 
.4aa 


1 

.385 


.358 
.357 
.357 
.356 
.35fi 
7355- 
.355 
1354 
.354 
.353 


.3a5 
.3a5 
,334 
i3a3 
.3=3 
-3^ 
.3aa 
i3ai 

.331 

.3ao 


.39a 
.393 
.391 
,39. 
.390 

11 


ia6o 


.327 
.336 


.557 
.556 
.556 
.555 
^7555" 
.554 
.554 
.553 
.55a 


tiaJ 
.5a3 
.5aa 
i5aa 
■ 5]. 


1489 


,455 
.455 
,454 
1454 
.453 


i4aa 
143. 
I4a. 
■ 4an 
14.^ 


.388 
.388 
.387 
.387 
.38fi 


,356 
.355 


iaa5 
.aaS 

.334 

,3a4 

1323 


.5JO 
.5.9 


.486 
i486 
.485 
1485 
1484 


.45a 
.45. 
.45, 
.45.1 


,419 
,418 
.418 
.4.7 
.417 


.386 
.385 
,384 
.384 
.383 


.35a 
.35. 
.35. 
.35o 


,3.9 
.3.7 


,387 
.387 

,385 
.385 


,355 
.a54 
,354 
1353 
ia53 


iii; 


Go 
5i 
5a 
53 

54 

w 

56 

57 
5P 
59 
B. 


56 
57 
58 
59 
S. 


i55i 

i55j 
.55o 
.55,1 


.5.6 
.5.5 


1483 
.483 
.48a 
.48a 
.48. 


.449 

\fi 

,447 
20" 8' 


i4i6 
i4i5 
.4i4 
i4i4 


.38a 
.383 
.38. 
.38, 


.349 
.348 


i3i6 
.3,6 
.3,5 
.3.5 


.384 
.384 

1383 
.383 
.a8. 


!a5a 
.aSi 
ia5o 

I35o 


12.9 

13.8 


'JP y 


a-«/ 


UP 7' 


2^ if 


2= Iff 


2"U' 


2=13' 


Tiy 


2=14' 


a^iy 



ny Google 



f^'"! TABLE XXII. 

Proportional Logarithma. 


8. 

3 

4 


k n 

riff 


k m 
a»17' 


riff 


A •>. 

a»i9' 




a°ai' 


k m 
2=22- 


A m 


k m 
2=24' 


A m 

ray 


A m 
a»8ff 


8. 


1117 

iii6 
,»i6 
i»i5 


iiBe 

ii85 

is 


"54 
ii53 
w53 
m5i 
iiSi 


iii3 


1091 

1091 
1090 

'X 


106a 
1060 

;3 


1039 

I038 


09W 

0998 
0997 


0967 


0939 

0938 
0937 


0909 
0909 
0908 
0908 


3 

4 


6 
8 

i3 
14 
i5 
i6 

\l 
■9 


iii5 
1114 
1114 
iif3 
ni3 


118a 
iiBi 
1181 
m8i 


m5i 
ii5i 
i.5o 
"5o 

"49 


1119 
ii]8 


;S2 

1088 
1087 
1087 


io57 
.057 
io56 
io56 


1037 

I036 
1035 


0997 
0996 

0995 
0995 


0987 
0986 
0966 
0^65 
0965 


0937 

0036 
0036 
0935 
0935 


0906 

0906 
0905 
0905 


5- 
6 

I 
9 


li.'o 


:i8o 
"'79 


I'M 

.148 

1U7 

"47 


1117 

n:6 
1116 

Ml5 


1086 

io85 

io85 
1084 


io5S 
.o54 
io54 
io53 


ioi5 
1014 

.053 


0994 
0994 
0993 
0993 
099a 


0904 
0964 
0963 
0963 


0934 
0934 
0933 
0933 
0931 


0903 


i3 

14 


1109 

130S 


..78 

"77 
"77 
[176 
1J75 


"46 
"45 
1 145 
"44 


jij4 
iii3 

Mt3 


1083 
io63 


io5j 
[o5i 
loSi 
loSi 


I03I 


0991 
0991 
0991 
0990 
0990 


0961 

096. 
0960 
0^ 


0933 
093, 
093. 
0930 
0930 


0903 
090. 
0901 


.5 
.6 

\l 
'9 


s3 


.J06 

rioS 

Elo5 


"74 
"74 
1173 
ir73 


"43 
ti4i 
ii4i 
ii4i 


''B 


1081 
1081 
1080 
.080 
1079 


[o5o 
■049 

;38 


1019 

•a 

1018 


09H9 
0989 
0988 
0988 
0987 


09^9 

^t 
0958 
0957 


0939 
0939 
0918 

0937 


1» 
0897 


so 
».■ 

i3 
14 


)6 

I?- 

3i 
3a 
33 

34 
"35" 
36 
37 
38 
39 


.104 


T171 
1171 
1171 


ii4i 

ii4o 
ii4o 


IT09 

1108 


ii 
IS 


1048 
1047 
■047 

[o46 

[o46 


1016 
10.5 


09H7 

oSe 
0986 
0985 
0985 


09^7 
0956 
0956 
0955 
0955 


0937 
0936 
0936 
0935 
0935 


3S 

o«j5 


-3-5- 

36 

39 


"W 


11 

1168 


ii38 
ii38 

"36 


1 106 
1106 

M05 

iio5 


1076 
1075 
1073 
1074 
1074 


[045 
T043 
[o44 
1044 
ro43 


io[4 
10.4 
ioi3 

I0i3 


0984 
09B4 
0983 
0983 

0981 


0954 
0954 

0953 
0953 
oy53 


0934 
0934 
0933 

0933 


08^3 
o«93 
55 


3o 

3i 
3a 

33 
34 


.,,8 

"97 


1167 
1167 
il66 
m65 
m65 


ii35 
li35 
m35 


M04 

"04 
iio3 
Mo3 


1073 
1071 
1073 
1071 


■ 043 
io4i 
1041 
io4i 
ia4l 


iEi 


0981 
098. 

0980 


095. 
0951 
0950 
0950 


0933 
0931 
0911 
0930 
0990 


c*9i 

OS?, 
0890 


35 
36 

ll 
39 


40 
4i 
4i 
43 
44 
45" 
46 

is 

49 




1.64 
1164 
ii63 
I [63 
u6a 


u33 
ii3i 
ii3i 
ii3i 
ii3i 


;E 


■ 069 


io4o 
io4o 
.039 


1009 

IS 

1008 


0979 

0978 
0977 


0949 

0948 
0947 


0919 
0919 
091B 
0918 
0917 


otS, 

088S 
0887 


40 
4i 
4a 
43 
44 


.193 
1191 
1191 


1160 
iiRo 


ii3o 
1119 

Wit 


1099 

:^ 
.098 

■097 


1068 
1067 


1037 

io36 
io36 
io3S 
.o35 
io34 
lo34 
io33 
io33 


IS 

looG 

.005 
looS 


1 

0976 
0975 
0975 


0947 
0946 
0946 
0945 
0945 


0917 
09.6 

0916 
09.5 
0915 


0886 
o885 


IS 

49 


So 
St 
5i 
53 

54 


"9' 
1190 


il 

it58 
[[57 


1117 

;;s 

iti6 


1097 
1096 
1096 


ro66 
io65 
(o65 
1064 
[o64 


.004 

ioo3 


0974 
0974 
0973 
0973 
097* 


0944 
0944 
0943 
0943 
0943 


0914 
0914 
09.3 
09.3 
09.3 


0884 
0884 
o883 
o883 
0883 


5o 
5i 
5i 

33 
54 


55 

56 

57 

58 
5, 


kSS 


[i56 

ii5S 
ii54 


iia5 
i>i4 
1134 
iis3 


1094 
.094 
.093 
1099 

109J 


io63 
.061 
■ 061 
loGi 


io3a 
.o3i 
]o3i 
io3o 


ii: 


097a 
0971 
0971 
0970 
0970 


0943 
0941 
0941 
0940 
0940 


09.3 
t>9'i 
091 1 
09.0 

09.0 


0883 

0881 
0880 


56 

is 

59 


8. 


riff 


vir 


a»I8' 


no- 


a^ac 


2=21' 


ray 


2=23' 


2=84' 


2=2!? 


raff 


B. 



,y Google 



TABLE XXII. If«i»i« 
Proportional Logarilhins 


8, 




A m 


h m 


k m 


A m 
2=31' 


h m 

8° a* 




h m 
S°34' 


ufas 


h m 
3° 36- 


h m. 
8° 37' 


S. 


3 
4 


0880 

087B 


t>S5o 
oBSo 
0S49 


082. 
0B20 
0820 
0819 


079a 
0791 
0791 
0790 
0790 


0762 
0761 
076 a 
0761 


0734 
0734 
0733 
0733 

073a 


0705 

0705 

0704 
0704 


0677 
0677 
0676 
0676 


0649 
0649 
0643 
0648 

0648 


0621 
0621 
06a I 
0610 
o6ao 


0594 
0593 
0593 
059a 
059a 


3 
4 


5' 
6 
7 
8 
9 


3" 

0876 


0847 

o846 
o846 


0617 
0B16 


0789 
0789 
0788 

07B7 


0761 

0760 
0759 
0759 


^3? 
0731 
0730 
073q 


0703 
0703 

O7o3 


0&75 
0675 
0674 
0674 
06^3 


0647 
0647 
0646 
o646 
0645 


0619 
o6.g 
0618 

06,7 


oi9i 

•I 
Sis 


5 
6 

I 

9 


i3 

i4 


0875 
0874 
0874 
0873 
0873 


0845 
0844 
0644 
0643 


0816 
o8.fi 
o8i5 
o8i5 
08.4 


0787 
0787 
0^86 
0786 
0785 


0758 
0758 
0757 
0757 
0756 


0730 
0729 

0728 


0701 
0701 

0699 


0673 
0672 
0672 
0671 
0671 


0645 
0644 

0643 


o6[6 
06-6 
o6i5 
o6i5 


o588 
o587 


I3 
14 


19 


087. 

0671 
0B7I 
0871 

0870 


o84i 
o84i 
084. 
o84[ 


o8[4 
o8i3 
o8i3 
08.2 
0812 


0785 
0784 
0784 
0763 
.-.793 


0756 
0755 
0755 
0754 
0754 


0727 
1^727 
0726 
0726 


"697 


0670 

^° 
0670 
0669 
0G69 


o64a 
o64a 
o64i 
q64i 
o64[ 


06,4 
0614 
o6i3 
o6i3 


o586 
0585 
q585 


18 
■9 


a4 


086B 


0840 
0840 
0839 
0839 
0838 


0811 
0810 
0810 
0809 


07B2 
07S2 
0781 
0781 


0753 
D753 
07S1 
0752 
0751 


0725 
0724 
0724 
0723 


0696 
0696 

0695 
0695 

t*94 


0668 
0667 
0667 
c666 


o64o 
0640 
0639 


0611 
0611 
0611 
0610 


o585 
0584 
0584 
o583 
o583 


20 

23 

24 

-^ 

26 
28 

29 


i8 


0867 
086) 

0866 
0866 

o865 


o838 
o837 
o837 
0836 
o836 


0808 
0807 
0807 


07SU 
0779 

0778 
0778 


075. 
0751 
0750 
0750 
"749 


HE 


0694 
0694 
□693 
0693 
■0691 


o665 
o665 
o654 
0664 


0638 
0637 
0637 
o636 
o636 


0609 
0608 


o58a 
o58[ 
o58r 
o58o 


3o 
3i 
3i 
33 
34 


0864 
0864 
o863 
0663 


o835 
o835 
o834 
oB34 
o834 


0806 
o8o5 
0605 
0804 


0777 

0776 
0776 
0775 


0748 
0748 
0747 
0747 


0719 


0691 
0691 
0690 


0653 
o663 
o663 
0662 
0662 


o635 
o635 
0634 
o634 
0634 


0607 

0606 
0606 


o58o 
o579 
0579 

0579 

0578 


3i 

32 

33 
34 


35 

36 
37 
38 
39 


0861 
o86f 
o86[ 
0860 


o633 
0832 
o83i 
o83i 


uSo4 
o8o3 
o8o3 

080a 


0774 
0774 

v;4 


c^46 
0746 
0745 
0745 
0744 


07,8 
0716 


0689 
0689 
0C88 
0688 
0687 


0661 
0660 
0660 
.,659 


o633 
n633 
0632 
o63a 
o63i 


06-5 
o(>.>5 
0604 

0603 


0578 
"577 
o577 
0576 
0576 


36 

39 
40 

4i 
42 
43 
44 


'40 
4i 
4i 
43 
44 


o86q 
0859 
0650 
oBSS 
o858 


o83o 
o83o 
0819 
o8?9 


0801 
0801 

0800 


0772 
077a 
0771 


0744 
"743 
0743 
0742 
074 a 


0714 
071 3 


0687 
ofi86 
0686 
1.686 
0685 


0658 
0658 
i«57 
rt357 


o63o 
<fi3o 
0629 


0603 

0602 
0602 
0601 


o575 
0575 
o574 
0574 
0573 


■45 
46 

49 


0857 
0857 
o856 
0856 
o855 


0828 
0817 
0817 
o8.6 


0799 
079? 
079S 
0798 
0797 


0769 

S3 


074- 
0740 
0741 
074CI 


0711 


o685 
0684 
0684 
0683 
o6S3 


0656 

o655 
o655 
o655 


0628 
0628 
0628 

0627 


1*01 
<*oo 

1.599 
0599 


0573 
0573 
<.57a 
o5-'2 
057 r 


46 
47 

49 


Si 
5» 

53 
54 
IT 
56 
57 
SB 
59 


0855 
0855 
o854 
o654 
o853 


0836 
o8j5 
o8j5 
0S34 
08.4 


0797 
0796 
0796 
0795 
D795 


0767 
076B 
0766 


0739 

0738 
0737 


071 ( 
1710 

0709 

fi7"9 


0682 
ofiSr 
0681 
0680 


<.654 
o653 
o653 
d65» 


..656 
.,626 
0625 
o6a5 
o6)4 


1.5^ 
0597 
0597 
0596 


71 
u569 


Si 

5j 
53 
54 


oS53 
o85i 
0851 
oB5t 
oB5i 


0833 
083] 
0832 
0821 


0794 
0794 
0793 
0793 
079a 


0765 
0765 
0764 
0764 
0763 


0737 
0736 

073fi 

0735 
0735 


0708 
0708 


0679 
0679 
q6-8 
0678 


o65i 
o65i 
o65o 
o65q 


0624 
0623 
D6a3 

0622 
0622 


0596 
0595 
0595 
05,4 


0568 
o5fi8 
..568 
o567 
o567 


56 
57 
58 
59 


S. 


2=27' 


ysff 


3° as- 


yac 


2"31' 


'JfSt 


3" 33- 


2»34' 


a-a? 


spaff 


8=37' 


S. 



ny Google 



1*1. i«] TABU 


Proportiona: 


8. 


h m 


h m 


A m 


h m 


A m 


k 


ysff 


aP39' 


2" 40- 


2=41' 


3=49' 


2» 




o566 


053I 




0484 


0458 






o566 


o5ii 


o484 


0457 






0565 


o538 


o5ii 


o484 


0457 




3 


o565 


o537 


o5io 


o483 


o456 




4 


o564 


o537 


t)5io 


o483 


o456 


04 


~r 


0564 


o536 


o5o9 


0483 


0455 


04 


6 


o563 


o536 


:a 


o48j 


0455 






o563 


o536 




0454 






o562 


o535 


o5oe 


048 1 


0454 




9 


0565 


0535 


o5o7 


o48o 


0454 






0563 


0534 


~Z5^ 


0480 


0453 






o56[ 


0534 


o5o7 


d48o 


0453 






o56i 


o533 


o5o6 


■0479 


045i 




i3 


oS6o 


0533 


o5o6 


318 


o45i 




i4 


o56o 


o53i 


o5o5 


o45( 


04 


i5 


o559 


o532 


-353" 


0478 


■^457 




i6 


l^ 


o53i 


o5o4 


o477' 


o45o 


04 




o53i 


o5o4 


0477 


o45o 




iB 


o558 


o53i 


n5o3 


0476 


o45o 


04 


'9, 


o557 


o53o 


o5o3 


n476 


0449 


04 


0557 


"Z53r 




0475 


la 


04 




o557 


0549 


o5oi 


0475 


04 




o556 


o5i9 
o5iS 


o5oi 


0475 


o448 


04 


!l3 


o556 




0474 


0447 


04 


>4 
i5 


o555 


o5=8 


o5oi 


0474 


0447 




■.537 


o5oo 


0473 


o446 


"w 


»6 


o554 


a5>-. 


o5oo 


0473 


o446 


04 


=7 


o554 


o5:.5 


0499 


047a 


0446 




.8 


o553 


o536 


0490 
"498 


0472 


0445 




_a9_ 
3o 


o553 


oSjS 


0471 


0445 


04 


o555 


o5j5 


0498 


0471 


0444 


04 


3. 


o55a 


o5i5 


0498 


0471 


0444 




3j 


o55a 


0534 


0497 


0470 


0443 




33 


055 r 


o5a4 


0497 


0470 


0443 




34 


o55. 


o533 


0496 




0445 


04 


35 


o55o 


o533 


1M^ 


'S 


'M43 




36 


o55o 


05l3 


0455 


.0441 




37 


o549 


o5ii 


0495 


0468 


o44i 


04 


38 


o54o 


o53I 


0494 


0467 


044 ■ 


04 


39 
4o 


o531 


JM91 


0467 


044'' 


04 


o54B 


o53, 


<«i93 


"467 


o44o 


o4 


4t 


o5d7 


oSjo 


<.4$3 


o466 


^439 


u4 


4a 


o547 


o5io 


04^3 


0466 


043I 


04 


43 


o5J6 




o4?^ 


0465 




44 
IT 


o546 


05,9 


049^ 


o465 


o438 




1:546- 


oSiS 


T4?r 


0/(fi4 


-r;438- 


~A 


46 


oWS 


o5ia 


o4?c 


o464 


0437 


04 


47 


o545 


o5i7 


0490 


0463 


0437 




48 


o54J 


<i5i7 


•X 

0489 


(.463 


o436 




1 


o544 
13J3- 


o5r7 


.,469 
o46! 


o436 
0435 


o4 


■.5 16 




5i 


o543 


o5.6 


31? 


o4r>5 


M35 




5i 


t.54a 


<.5i5 


o46. 


0434 


04 


53 


o54a 


..5. 5 


0488 


046 r 


0434 


i'4 


5J 
"55 


o54r 


o5i4 


0487 


o46<. 


n434 


"4 


o54i 


o5i4 


0487 


046., 


..433 




Sfi 


o54i 


o5i3 


0486 


0459 


0433 




57 


o54o 


o5i3 




0459 


o43] 


o4 




o54o 


o5n 


o485 


o45B 


f.432 




J?- 


o539 


o5i5 


o485 


04 58 


043 1 


04 


8. 


^3& 


yaiv 


2=40' 


9=41' 


y*? 


9= 



n,gti7co3yGoOglc 







TABLE XXII. I'M-!" 






Proportioiial Lc^arithnu. 




Jk Bl 


h IR 


A m 


A m 


A » 


A m 


k m 


A n 


k n 


A H 


k m 




s. 


2P49' 


a»50 


8=51 


2° Si 


2° 59 


a=5i 


a=55 


3°5e 


a°57' 


a'ss' 


2=59' 


s. 


0574 


o^"*^ 


0333 


0197 




or47 




009b 




SI 


0034 






o>73 






0197 




0147 




0097 




0034 






0373 


0347 




0197 




0146 




«>97 


ooni 


oo48 






3 


0373 


0347 




0,96 




OC46 








0047 




3 


4 


0371 


0347 




0,96 




0146 




°°96 


0071 


0047 




4 




0346 




0195 


0170 










oo46 




6 




oa46 




0,95 


0170 


OC45 








oo46 




6 




0371 


oa45 




0,94 


0.69 


0144 


0119 






0046 






8 


0370 


0345 




0.94 


0169 


0144 


0119 


0094 




0045 




8 


9 




0144 


0319 


o.S 


O'^ 


0143 


"■■9 


.oo94_ 


0..69 


0045 


O03I 


_9_ 




0370 


0344 




0,93 




-^4T 






^ 


0044 








0369 


0344 


0^,1 


0193 


oi68 


0143 


one 


C093 


0044 








:2 


0343 


0118 


0193 


0167 


0143 


01.7 




0068 


oaU 


0019 




i3 


o»43 




019a 


OE67 


Ol43 


0117 




0068 


0043 


0019 


i3 


i4 


0368 


0343 


0117 


"193 


0166 


oi4i 




0093 


°"67 


0043 


""9 


i4 


-^ 




0343 




ni9r 


0.66 


^UT 


"STTT 






0043 




|6 


0367 


oj4i 


oai6 


0191 


0166 


o<4i 


01 15 


0091 


0066 


0043 


0018 


16 




0367 


0341 


03 16 


0190 


oi65 


0.40 


0115 


0091 




0043 








0366 


0341 


03l5 


0190 


or65 


or4o 


on5 




.x«6 


0041 




18 


_L9. 


r>i6(> 


0340 


03l5 


0.5; 


0164 


"'^ 


on4 


0.190 


"o65 


«.4i 


0017 


■9 


0365 


0340 


03 14 


0.89 


oT64" 


0,39 


DM4 


-^EiiS^ 


o.«5 


«.4o 


00. G 




Q565 


0339 


03 14 


B 


0163 


:;s 


om4 


0089 


o.«4 


oo4o 


0016 






01)64 


:;^i 


03l3 


oi63 


01 13 


0089 
0088 


0064 


004" 


ODl5 




a3 


0364 


03l3 




0163 


(11 38 


om3 


oo64 


^39 


ooi5 


i3 


34 


0164 


033fl 




"1S7 


01(13 


0,37 


una 


ooSB 


<«i63 




00.5 


24 

35' 


-iT 


0263 


"5^38- 






^^TeT 


IHsT 




0087 


O.I63 


o.i38 




36 


0363 


0337 




0.87 


U161 


oi36 




<-u87 


0<«1 


mje 


0014 


ifi 


37 


0361 


0337 




0186 


0161 


<>i36 




o<«7 


0..61 


oo38 


ooi3 


27 


:<B 




0336 




oiSC 


0161 


oi36 




i.«6 


o<£i 


oo37 


ooi3 


28 


J2_ 
3o 


oa6i 


oj3fi 


<il,, 


oi85 


<»eo 


oi35 


01 to 


™*6 


0061 


on37 




39 
3o 


1;^ 


-^^ 






-^^^r 


TTIT 




o>«5 


Ol6l 


o..3e 




3i 


0361 


0335 




or84 


0.59 


01 34 




Q<i85 


0060 


OU36 




3. 


3i 


036o 


o>35 




0184 


:;i! 


0.34 


0(09 


0064 


ooGo 


oo36 




33 


33 


0160 


0334 


U 


o[S4 


01 34 


va 


0084 




oo35 




33 


34 


0359 


0334 


oi83 


□ iSS 


01 33 


U.1S4 


0059 


(X135 


(X>IO 


34 
T5 




-^m- 




o,83 


T7W 


-^Tir 


OI<« 


™«3 


S 


«>34 




30 


0333 


01118 


0183 


oi57 


Ol33 


0107 


i>«3 


oo34 




36 


37 


oi58 


03 33 






or 57 


oi3i 




CX163 


o»58 


ixi34 




37 


38 


oi5e 


cnl. 




0181 


or56 


o.3i 




0082 


o"57 


"o33 


0008 


38 


* 


oiSy 


Ol33 


0106 


0181 


of56 


o,3i 


or<6 


m^i 


.ffl57 


oo33 


39 
4c 


0357 


033l 


oi<« 




0l56 


"oi3i 


0K16 


o.*i 


"i^l^sT 


■55^ 




4i 


oa56 




O305 


0180 


01 55 


f..3o 


01 «5 


0081 


oii56 


oo3a 




41 


43 


0356 


oi3o 


oi(.5 


0,8.) 


oi55 


0,3.. 


oif)5 




o(.56 


oo3i 




43 


43 


0355 


033o 


oio5 


0179 


oi54 


0139 


oio5 


0080 


oo55 


oo3i 




43 


44 
45 


0355 


O33o 


03(>4 


0179 


0,54 


0139 


oio4 


ooSo 


oo55 


"<>3i 


"006 


44 


"S^ 


0339 


03M 


ol?? 


cii53 


o\lt 


OlM 


0079 


i»j55 


(io3o 




46 


0^54 


ir,i 


03..3 


o[53 


oro3 


01.79 


0..54 


003.. 




46 


47 


0354 




0,78 


01 53 


0.38 


0IO3 


0..7S oo54 


0039 


ooo5 


47 


48 


oa53 








0,53 




oio3 


0078 0..53 


0039 


ooo5 


48 


49 
ST 


0353 








01 53 






""77 


.«53 


0039 


0004 


J2. 












0,16 






ou53 




■■^^ 


^ 


5i 


(W53 






..176 


oi5i 


01 36 






o"5i 


0018 


001.4 


5> 


53 


3153 


M56 




0176 


o<5i 


0116 










OOrO 


53 


53 


035l 


0336 




01 7S 


<.i5o 






007O 


oo5, 






53 


54 
35 


»35. 


0335 


oino 


"■75 


o.5n 


OI35 


OIOU 


"..75 


oo5. 


.■.17 


(TOoa 


54 
55" 




0>35 




0174 


0149 






".r75 


i-i5i 


"Se.^ 


<l"<.3 


56 


03S0 




0199 


0174 


:;s 


0114 


0099 






OOSG O0O3 


5(i 


5? 


o35n 0114 


v^ 




0114 


^ 


0074 


oo5o 


001 5 




57 


iS 


o«49 0334 


0.73 


oi4S 


o[i3 


0074 


0049 


001 5 




58 


J9_ 
B. 


0149 02,3 


0,98 


on3 


oi48 


o(i3 


0098 


0073 


"049 


ooi5 




J9_ 


a=4!>'l2»50- 


3° SI' 


9=5* 


^53 


8" 54' 


V^ 


vaa 


'9° 57' 


a°5S' 


a^sff 


S. 



ny Google 



f* ii»l TABLE XXIV. 


or Natural Sines. 




M 


0° 


1' 


^ 


3" 


4= 


- 


2 


N.lilH 


N. ™. 


N.«lie. 


N. ™. 


N..i.ie 


N. COS. 


N. «i* 


^. ™. 




N. ««. 






0.745 


99985 


o349" 


& 


o5i34 


99863 


06976 


99756 


■ST 






^sS 




0.774 


99984 


o35i9 
03548 


05363 


9986, 


07005 


99754 


S 










01&03 


99984 


99937 




99860 


07P54 


99753 






3 


00087 




01 833 


99983 


03577 


99936 


o53ai 


99858 


07063 


9975o 


57 






4 


00116 




01861 


999B3 


ii36o6 


99935 


0535.1 


99857 


07093 


997-;8 


56 






5 


00145 




0,89, 


99983 


03635 


99934 


05379 
o54i)8 


99855 




99746 


55 




3 


~ 


00.75 




0.930 


99983 


03664 


999" 


99854 


07,50 


99744 


54 
53 


-^ 


O0304 




Eg 


99981 


..3693 


9993a 


05437 


99853 


3 


99743 


4 


8 


o<n33 




99980 


03733 


99931 


05466 


9965, 


9974" 


53 




4 


9 


U0163 






99980 


03-753 


99930 


05495 


99849 


07337 


99738 


5i 




5 




iK.agi 




oao36 


99979 


0378, 


99939 


o55i4 


99847 


07366 


99736 


5o 




5 




oo3ao 


99999 


oao65 




o38io 


99937 


05553 


99846 


07395 


W34 


47 




6 
-6 


IT 


<n349 


99999 


03094 


(i3839 


999'6 


05583 


99844 


07334 


9973^ 


~ 


00378 




-^^TTs 


99977 




99935 


o56ii 


99843 


07353 


997'9 




14 


00407 




03.53 


99977 


o38y; 


99934 


o564o 


WSi' 


07383 


99737 


46 






iS 


OD436 


99999 




99976 


03936 


99933 


o5609 


gss 


074,1 


99735 


45 




8 


16 


O0465 


99999 




99976 


03955 


99931 


05698 


0744" 


99733 


44 




8 




00495 


99999 


03 340 


99975 


039S4 


999" ■ 


05737 


99836 


07460 
07498 


9973 1 


43 




9 


(8 
>9 


oii5i4 




■.3J69 


99974 


0401 3 


999'9 


o575d 99B34 


997'9 


43 
4, 


4- 


00553 


^999^ 


^^ 


99974 


o4o4i 


99918 


..I^H-ilonSn 


„-,\-,-, 


99716 






(x>58i 


99998 


05337 


99973 


04071 


999'7 




99714 


4o 








0061. 


99998 


03356 


9997' 


o4i.» 


99916 




997.3 


g 








00640 


99998 


05385 


99973 


04139 


999,5 




99710 




li 


33 

i5 


T^ 


99998 
9999B 


034 1 4 
03443 


99971 
99970 


04.5? 
04.88 


999,3 
999.3 




9971-8 
99705 
99703 


37 
36 


~ 


00737 


99997 


03473 


99969 


043.7 


99911 


I3 


iG 


«.756 


99997 


035Oi 


» 


04346 


999,0 




9970. 


34 




i3 




00785 


99997 


O353o 


o4J75 


99909 




■& 


33 




i4 


a8 


00814 


99997 


oa56o 


•mv 


043. )4 


999"7 




33 






'9 


00844 


99996 


■:^i 


99966 


04333 


99906 




99694 


3i 




i5 
IT 


3" 


00873 


9999^ 


99966 


1.4363 


99905 

999"4 




99691 
99669 


3o 


-,- 


1-1902 


99996 


03647 


99965 


04391 


tS 




0093, 


9999fi 


03676 


99964 


04430 


9990J 




9968, 




.6 


33 


iK>96o 


9999"^ 


O37o5 


99963 


04449 


99901 




W«»5 






16 


34 
35 


^^ 


99995 
99995 


01734 

03763 


999^3 
99963 


04478 
04507 


K 




956J3 
99680 


36 
35 




-76 


36 
1? 


om47 


99995 


03793 


99961 


04536 


99897 






34 
3 


~ 


01076 


99994 




99960 


04565 


99896 


18 


36 


OMOS 


99994 


o}85o 


99959 


04594 


99894 




9(6-1 






'9 


39 


01,34 


9999< 


03879 

039<* 


s?s 


04633 


99893 




«!.'; 






'9 


40 


01164 


9999^ 


o4653 


99893 




99668 








41 


ori93 


99993 


o>938 


99957 


o468a 






99666 


1 




i? 


43 
43 




99993 




WM 


04711 




9966, 


-^ 




99993 




999M 


o474o 






44 


01380 


9999' 


o3o35 


99954 


04769 
04796 


99686 




9,659 


16 






45 


:;i3 


9999' 


o3o54 


99953 


99865 




»?5S 


i5 






4fi 


99991 


o3o83 


9995' 


04837 


99883 




95654 


i4 




i3 


47 


01 367 


99991 


o3ri3 


9995" 


04856 


99883 




9965. 


,3 




i3 
34 


48 


0,396 


9999" 


o3i4i 


99951 


04885 


9966, 




f 


77 


-r 


01435 
01454 


99990 
99989 




99950 

US? 


049.4 
04^3 


?S?I 


95 


5- 


oi483 


99989 


04973 


99876 




9964. 


'i 




95 


53 


oi5,3 


» 


03357 


99947 


o5io. 


99875 




99639 




36 


53 


0.543 


03386 


99946 


o5o3o 


99873 




iSl 






36 

37 


54 
ST 


oi57[ 


99968 


o33.6 


99945 


o5o59 


99873 




99635 
W63. 


6 
-J 


-^ 


01600 


99987 


o3345 


99944 


o5o8B 


99870 


37 


56 


:;S8 


99987 


03374 


99943 


05..7 


998C9 




99630 


4 




38 


57 


99986 


o34o3 


99943 


o5.46 


99867 




9,6., 


3 




38 


58 


01687 


99986 


o343a 


9994> 


o5i75 


99866 




996a5 






39 


59 


0.716 


99985 


o346, 


99940 


o53o5 


998«4 




99633 






39 


6u 


01745 


99985 


03490 


99939 


05334 


99863 




99619 




^ 














r^ ,1 



y Google 





TABLE XXIV. I'M." 




Of Natural Bines. 


P-J 




5" 


<^ 


70 


8" 


9' 




^ 


29 


M 


N. tiNC 


N. ™s. 


N. .ine 


N. ™. 


N.>i>ie. 


N. to,. 


H.tmt 


N. (OS. 


N. line 


N. rw. 


& 


4 

4 


087 r6 


996,9 


T,-;45T 


99453 


13187 


99355 


13917 


99017 


.5643 


96769 






08745 


99617 


10483 


» 


133,6 


9935, 


13946 


99033 


1567S 


98764 


^ 


4 






"8774 


99614 


io5[i 


13345 


99^48 


13975 


99019 
99015 


.57o< 


9!^ 


4 




3 


08803 


99613 


ioS4o 


99443 


.3374 


99^44 


i4oo4 


■ 573o 


98755 


57 


4 




4 


o883i 


99(iu9 


10569 


99440 


m303 


99340 


.4033 


99011 


,5758 


98751 


56 


4 




5 


u886o 


99607 


...59? 


^37 


13331 


99337 


.4061 


99006 


15787 


98746 


55 


4 


4 


J. 


08889 


^4 


10636 


994J4 


13360 


99^33 


14090 


99003 


.5816 


9874. 


54 
5T 


4 


089.8 


"99&,3 


■iTSH 


9943. 


71389 


99330 


1411? 
i4i4b 


9699B 


T5845 


98737 






.*947 


yyJ99 


10684 


^94^8 


134.8 


99136 


98994 


,5873 


98733 


5i 






9 


06976 


99596 


107.3 


^34 


13447 


99133 


i4i77 


^990 


,V 


98736 


5i 








09005 


99594 


I074J 


994'ii 


13475 


991.9 


i43o5 




is^' 


98733 


5o 








09034 


» 




99418 


,35o4 


99315 


.4334 


989B3 




987.8 


t 




4 


73 


09ffi3 


l,«00 


99415 


,i533 


9931. 


14363 


98978 


987.4 




0909J 


99586 


;::^;g 


99413 


,3563 


99308 


14393 


98973 




98709 


47 








091J1 


W583 


99409 
99406 


,3591 


99104 


,43io 


^g 


,6c46 


987^ 


46 




7 




09,50 


99580 


10887 




993,-^ 


\ii% 


16074 


tl'^ 


45 




8 


le 


09308 
09337 


99578 




9940:! 


.3649 


99'97 


98961 


16, o3 


9S695 


44 




e 
9 

9 


^9 


99575 
99573 


10945 
10973 


99393 


13676 
ia7"6 


99,93 
99,89 
99,86 


14464 


98957 


i6i33 
,6160 


98600 
98686 


43 
43 


4 


99570 


,6,89 


98681 






09395 


99^ 


iio3i 


S'S 


.3764 


99,81 


.4493 


98944 


,6ii& 


98676 


4o 








00334 


W564 


11060 


,3793 


99,78 


t45ii 


98940 


16346 


■y867i 


S 








09353 


99563 


i:"^ 


99383 


13813 


99T75 


1455, 


,8936 


16175 


98667 






33 


f^383 


g?^ 


99380 


,385. 


99,7. 


i458o 


9893. 


i63o4 


98663 


37 




4 


34 


094^ 


11147 


99377 


13880 


9,1,67 


i46<i8 


989.7 


16333 


98657 


36 

15" 


4 


o9i4o 


99553 


11176 


99374 


13908 


99,63 


14637 


989.3 


TeHT 


"S657 


.3 


36 


09469 


9955. 


113o5 


m3,o 


13^7 


99160 


,4666 


989,9 


16390 


98648 


34 




i3 


17 


09498 


9954" 


11334 


99367 


,3966 


99,56 


.4695 


989,4 


164.9 


98643 


33 




i4 




o?5?7 


99545 


.1363 


52364 


13«5 


99151 


14713 


989,0 


1644-7 


98638 


33 




i4 


39 


09556 


99541 


11391 


99360 


,3o34 


99148 


14751 


98i»6 


i647*i 


98633 


3i 




i5 
i5 


3.> 

IT 


09585 


w54o 


11 330 


99357 


i3.)53 


99144 


1478. 


9890. 


i65o5 




3o 

'•I 


4 


096.4 


-^^535 


;;1S 


99354 


73^*7 


99141 


14810 




15533 






33 


o?643 


99534 


9935, 


i3iio 


99'37 


I483B 


« 


16563 


98619 




i6 


33 


0^7 r 


9953. 


1.407 


99347 


'j;s 


99,33 


.4867 


.559. 


98614 


'I 




i6 


34 


09700 


995.S 


11436 


S344 


99,39 
99.35 


.4896 


98664 


16630 


98609 


36 






35 


09759 


995.6 


.1465 


9934. 


'3,97 


14935 


98680 


16646 


9B604 


i5 




Ts 


3fi 

3? 


09^56_ 


995.3 


.1494 


2?337 


,3356 


99131 


14954 


98876 


.G677 




i4 


4 


0971; T 


995.0 


ii533 


99334 


73;54" 


991,8 


1496' 


98871 


16706 




i8 


38 


ooSrfi 


995'7 


11553 


99JJ- 


i3''83 


99'i4 


i5o.i 


98867 


,6734 


s 






'9 


39 


.^45 


9?5i4 


ii58o 


993.7 


,33,3 


991,0 


i5o4o 


98863 


,6763 






'9 


4o 


09874 


9,5,1 


11609 


993.4 


,334. 


99106 


15069 


98858 


1679= 


98580 








41 


09903 


99M 


11638 


553.0 


,3370 


99101 


i5o97 


98854 


16610 


96575 


'1 




J£. 


4' 
43 


"993j 


99S.« 


11G67 


S3,7 


13399 


99291 


i5i36 


98849 


16849 


96570 


4 


09961 


99M 


776^ 


99314 


■1I477 


99^ 


,5,55 


98845 


16876 


98565 






09990 


99500 


1.^5 


99310 


13456 


99091 
99087 


i5,84 


98841 


16906 


9656, 


16 






45 




99497 


11754 


99307 


13485 


153.3 


98836 


.6935 


^6556 


i5 






46 


10048 




11783 


99303 


.J5i4 


99.^3 


i5i4i 


98631 


16964 


98551 


:4 




i3 


47 


10077 


gjli 


.1813 


99300 


13543 


99075 


.5370 


98817 


16993 


98546 


i3 




33 
34 


48 
49 


10.06 


iiB4o 


99.97 


13573 


15399 


98813 






il 


4 


■TiiTsT 


99485" 


;® 


99.93 


i36oo 


99071 


15337 


988,8 


.7o5o 




34 


sS 


101G4 


w». 


^X 






15356 


988.4 


17078 


9853, 






i5 


5i 


.0193 


99479 


11937 


,3656 


990S3 


.5385 


S^ 




98536 


1 




35 


53 




994 7fi 


,1956 


99^83 


13687 


^^ 


t54i4 


,7.36 


9853, 




36 


53 


Io"o 


99473 


11965 


9957? 
99376 


13716 


,5443 


98800 


17164 


985,6 






36 

ay 


54 
"55" 


10179 


99470 


130l4 


13744 


99"5i 


15471 


98796 


'7193 


^tL 


6 




io3o8 


99467 


.3043 


99373 


13773 


99047 


"^5^ 


^8^ 




985o6 


5 




37 


56 


,o337 


9?464 




u^ 


i38o3 


5?o43 


.5519 


98767 


,735o 


98501 


4 




36 


57 


io3fc6 


9946. 




i383, 


Wo3j 


15557 


98783 


■'7'3^ 


98496 


3 






58 


T0395 


99458 


;:;i! 


9?363 


,3860 


99035 


1 5586 


98778 


98486 






'9 


59 


io4i4 


99455 


99^58 


13889 


9903. 


i56j5 


98773 


17336 






i?. 


t» 


[0453 


9945. 


. = .87 


99'55 


.3917 


99037 


.5643 


98769 


,7365 


9848, 


IT 


— 


N. rot 


N.iine. 


N. ™. 


N,.ln.. 


N. coi 


^. «ne. 


N.r<„ 


N.line. 


M. .» 


N,,™. 




B4" 


8 


3" 


ear 


81" 


80- 







28 


M 


liy 


11» 


IS" 


13° 


14<. 


— 


6 


N..i„« 


N. cos. 


N.Bine 


N. CCS. 


N. sine 


N. .OS. 


N.si,.c.;N. COS. 


N.siu* 


N. cos 


7^3^ 


98481 


.9081 


98163 


30791 


976,5 


33J95 


97437 


34193 


9703o 


■fo 


T 






.7393 


98476 


19136 


96157 


3o830 


v,is 


335l3 


9743o 


34330 


97033 


u 


s 






17433 


98471 


98153 


30848 


33553 


97434 


34149 


97015 


6 




3 


17451 


98456 


19167 


98146 


30877 


97797 


3358o 


974.7 


34277 


97008 


57 


6 




4 


m 


98461 


1 91 95 


98.40 


30905 


?;x 


33608 


974^1 


34305 




56 


6 




5 


98455 




98135 


30933 


33637 


974o4 


34333 


&7 


55 




3 


() 


.7537 


98450 


19353 


98.39 


3096a 


9777B 


33665 


97398 


34363 


54 


T 


17565 


98445 


1 9381 


98.34 


30990 


97773 


]fg" 


& 


34390 


96980 


4 


8 


17594 


98440 


\& 


98M8 


3.019 






144.8 


96973 


5i 




4 


9 


ITfifi 


9S435 


^113 


3I047 


97760 


33750 


97378 


34446 


g6gk 


5i 




5 




.7651 


98430 


19366 


?e.o7 


31076 


97754 


11778 


97371 


14474 


96959 


5o 




5 




.7680 


96435 


.9395 


98.0, 


31 104 


97748 


11807 


97365 


345o3 


5695? 


■f? 




6 
6" 


fj 


1770B 


984.0 


19433 


96096 


31.33 


97743 


33835 


97358 


2453, 


96^45 


48 

47 


— 


17737 


984.4 


■ 9453 


$& 


3116, 


97735 


31863 


9735: 


34559 


96937 


7 


■4 


17766 


98409 


.948. 


3,189 


977=9 
97713 


33893 


97345 


14587 


?6?3o 


46 




7 


(5 


'7794 


98404 


\& 


98079 
98073 


113,8 


11930 


97338 


346 1 5 


96933 


45 




7 


i6 


.7833 


98399 


1.346 


977.7 


1194s 


9733. 


24644 


969.6 


44 




8 




.7853 


a 


■ 9566 


98067 


3.375 


977^^ 


11977 


97335 


24672 


96909 


43 




8 
9 


i8 
'9 


.7880 


1959S 


98061 


3i3o3 


97705 


33oo5 


973,8 


34700 


96903 


43 
4i 


-^ 


17909 


98383 


.9633 


98056 


77337 


97698 


33o33 


973.. 


54718 


K 


9 




J7937 


98378 


19652 


98050 


ii36o 


» 


33d63 


97304 


34756 


40 










98373 


19680 


98044 




33090 


97398 


34764 


96880 


S 








''7995 


98368 


19709 


& 




97680 


33ii8 


97301 


34813 


96873 






a3 


i8Si3 


083(53 


19737 


3.445 


97673 


33i46 


97364 


3484 ■ 




37 




if 


a4 


.8o53 


98357 




98037 


1,474 


97667 


33175 


97.78 


34869 


96856 


36 
35 


-f 


180S1 


98353 


■9794 


■^8^ 




97bb, 


757^ 


9737. 


34897 


ieSsT 




36 


18109 
i8i36 


98347 


i^sll 


98016 


3,53o 


97655 


1333, 


97364 


34935 


96844 


34 




i3 


37 


?a34i 


i^iS, 


?8oio 


3,559 


97648 


i3i6o 


97157 


i4?54 


96637 


33 




i3 


38 


18166 


98336 


19880 


98004 


3.587 


97641 


33388 


9715. 


14983 


96839 


32 




i4 


39 


.8,95 


9633, 


19908 


97998 


3i5i6 


97636 


»33,6 


97344 


iSoio 


96B33 


3, 




i4 
i4 


3o 
3i 


i8si4 


98335 


19937 


97993 


3,644 


97630 
97013 


13345 


97^37 


3 5o38 


96815 


3o 


T 




98330 


19965 


97987 


3,673 


13373 


97330 


35066 


96B07 


i5 


33 


i838[ 


983i5 


19994 


97981 




97617 


33401 


97333 


35094 


96800 




i5 


33 


IS 


983.0 


30033 




iii 


976,1 


33435 


97317 


25.33 


& 


17 




16 


34 


983o4 


3005l 


iS 


97604 


33456 


973.0 


25j5, 


36 




i6 


35 


18357 


98399 


ITd 


31786 


97598 


33486 


97303 


35,79 


96778 


35 




'7 


36 


18395 


98394 


97958 


31814 


97593 


335,4 


97'9<' 


35307 


9677> 


14 






17 


784^ 


98388 


75730- 


97953 


3,843 


97585 


73547 


97169 


75735 


96764 


TT 


~ 


l8 


38 


.B45> 


98383 


30165 


97^46 


3187, 


97579 


3357, 


97.83 


15363 


96756 






i8 


39 


1848, 


98377 


30,93 


97940 


:;;?? 


97573 




97176 


3519, 


9^749 






•9 


4o 


18538 


98373 




97934 


97566 


335? 


97169 


25330 


96742 






'9 


4i 


98367 


3035o 


97938 


3,955 


97560 


33656 


97163 


35346 


96734 


1 






43 
IT 


18557 


9S361 


30379 


9793a 


"985 


97553 


33684 


971" 


35376 


96717 


-f 


785^ 


98356 


3o3o7 


97916 




97547 


33713 


97148 


35404 


967.9 




44 


18634 


98350 


30336 


97910 


13o4, 


97541 


33740 


97141 


25433 


967.= 


16 






45 


i865i 


98=45 


30364 




33070 


97534 


33769 


97134 


25460 


96705 


,5 






46 


i85Bi 


98340 


30393 


31098 


97538 


33797 


97.37 


35488 


96697 


i4 




^T 


49 


1B710 
■8738 


98334 
98339 


3o4i. 
3045o 


33TS 

11,55 


97531 
^5,5 


33635 
33653 


97110 


255,6 
25545 


^ 


,3 






98333 


30478 




7I78I 


975o8 


33883 


97.06 


25573 


5^5 






33 


56 


18795 


98318 




97875 




97503 


339,0 


97100 


25601 


96667 






34 


5! 


]88M 


98313 


30535 


|?SS 


33340 




33938 


ss 


25539 




1 




54 


53 


i885i 


98307 


30563 


33368 


33966 


25657 


96653 




j5 


53 


!88B, 


9830. 


30593 


97857 


33397 




33995 


97079 


35685 


96645 






»5 
j6 


54 
15" 


■89'° 


98.96 


30630 


9785, 


33335 


97476 


i4o33 


97073 


357,3 


96638 


6 


-i- 


78^8 


tT^ 


30649 


77845 


33353 


97470 


i4o5. 


97065 


3574. 


96630 


5 


i6 


56 


.8967 


30677 


97830 


13383 


97463 


IS 


97058 


:i5 


96613 


4 




=7 


57 


.8995 






97833 


33410 


97457 


97o5i 


966,5 


3 




17 


5a 


19034 


96174 


30734 


97837 


33438 


97450 


34,36 


97044 


35836 


96608 






»^ 


59 


19053 


98,68 


30763 


^831 


13467 


97444 


14.64 


97037 


35854 


9C600 






iB 


66 


,5^. 


98163 


30791 


^8,5 


33495 


97437 


34.9' 


9703o 


35883 


96593 






N. coi. 


N.iine- 


N. ™. 


N.iine. 


N. toi. 


N.ime. 


N. cos 


N.sine. 


N. CO.. 


N.iine. 


"m" 








79= 























TART.R XXIV. fPwio 


Of Natuial Sines. 


Pnp. 








9 


27 


M 


N i: 




~ 






& 


9 






3 ! 


12 

57 
56 
55 
54 


9 

t 

8 
B 








H" 


T 








S3 


8 








5i 

5o 


8 
8 

7 


-6 


71 


"a f 


47 


"t" 








46 










45 


7 








44 


7 








43 


6 








4» 


6 


— 




"j ' 


4i 


"6" 

6 






3 


|g 


6 
6 




33 




37 


6 




M 


i f 


36 


5 


35 


"5" 




36 


= 1 


34 
33 


S 
5 




38 




3i 


S 




g 


5 i 


3i 
3o 


5 

5 




3i 

33 


1 ! 


It 


4 
4 




33 




37 


4 




34 




36 


4 




35 




35 


4 




36 




34 


4 




1? 
38 


1 1 


33 


3 

3 




2 


° F 


M 


3 

3 




41 

43 


3 ' 


:i 


3 

3 




43- 
44 
45 
46 

47 


i i 


'.I 

i5 
14 
:3 


3 




48 








"aT 


49 


1 1 


" 


' 


a3 


5o 








33 

a3 


5. 

5i 


I \ 


1 


J 


34 


53 




I 




34 


54 






35 


-55" 




"5" 




35 


56 




^ 




56 


57 




3 




i6 


58 








17 


59 








37 


S 


■ - 


-IT 


— 



ny Google 



27 


r 


20= 


21" 


ss- 


23- 


». 


6a 


5 


H 


N.iioe 


^. CD>, 


N. sme 


N. C08. 


N.Bioe 


N. COS. 


H.smo. 


N. cos. 


N.siiie. 


N. cm. 


34aoa 


93969 


35837 


93358 


3746. 


93718 


1^^ 




40674 


9.355 






34J39 


^959 


35864 


93348 


37488 


93707 


35.00 


9=o3o 


40700 


9.343 


5S 








34a57 


93949 


3589: 


93337 


375.5 


l^l 


391=7 


hd. 


40737 


5.33. 


58 






3 


34a84 


93939 


359.8 


93337 


37543 


39.53 




40753 


9.3,9 


57 






4 


343II 


93939 


35945 


93i.6 


37569 
37595 




39180 




40780 


9.307 


56 






5 


34339 
34366 


93919 


35973 


93306 


9=664 


39307 


91994 
9^ 


40806 


t\'£, 


55 




3 


6 




36goo 


93395 


3763a 


93653 


39334 


4o833 


54 
"51 


-jr 


T 


7 


34393 


9^ 


36037 


93a85 


37649 
37676 


9=643 


39=60 


9,971 


4586^ 


9,373 


4 


8 


344ii 


36o54 


93374 


9363, 


3^387 


9,959 
9,948 


40886 


9,360 


53 




4 


9 


34448 


93879 


36o8. 


93364 


37703 




39314 


409.3 


9. =48 


5i 




5 




34475 


93869 


36io8 


93353 


37730 


Si 


3934. 


9.935 


40939 


5.336 


5o 




5 




345o3 


^859 


36i35 


93343 


37757 


39367 


919=5 


40966 


9,3=4 


47 






"if 


3453o 




36 163 


93333 


37784 


39394 


91914 


40991 


9.3,3 


J- 
1 


34557 




36.90 


93333 




9=576 


3943, 


9,90= 
9,69, 


4.0.9 


91300 


6 


•4 


345B4 


93839 


363.7 


933.. 


3783a 


93565 


39448 


4ro45 




46 


7 


:5 


346ia 


93819 


36344 


9330. 


37&65 


93554 


39474 


;a 




9.176 


45 


8 


I 


le 


34539 
34666 


93809 


3637. 


II 


37893 


93543 


3950. 


41098 


91164 


44 


8 


'7 


fm 


36398 


i?^ 


93533 


355=8 


9.856 


4,i35 


91.53 


43 


8 


6 


i8 
'9 


34694 


36335 




9353. 


39555 


9.845 


4ii5i 


91 1 40 


4= 
4. 


8 
8 


347a. 


93779 


3635= 




37973 


935,0 


1^587 


9.833 


477^ 


?iij8 






34748 


^769 


36379 


^,d 


37999 


9=488 


39608 


918=3 


4.304 




4o 


7 






34775 


93746 


36406 


93.37 


38Si6 


39635 


9,8.0 


4.33. 


91104 


i 


7 






34803 


36434 


93.37 


38o53 


9=4T7 


3966, 


^1?^ 


4.357 


91093 
91080 






33 


3483o 


93738 


3646. 


93116 


38o8o 


9=466 


39688 


4,384 


37 




~ 


34 

15- 


34857 


93718 


36488 




38107 


93455 


357.5 


91775 


4i3io 


91068 


36 
35" 


~6" 


348S4 


937.8 


365.5 


S^ 




93444 


3^ 


91764 




"^IT^se" 




16 


349. a 


93708 


36543 


38.6, 


93433 


39768 


9175= 


4:363 


9.044 


34 


6 




^^ 


¥J^ 


fS 


36569 
36596 


93074 

93o63 


38,88 
383 1 5 


934a, 
934,0 


39795 


9'74. 
9,739 
9.7.6 


4.390 
4 .4 16 


91030 


33 
3a 


6 
6 




39 


34993 


93677 


36633 


93053 


3834T 


^^'3^ 


39848 


4i443 


91008 


3. 


6 


17 


3o 
3i 


35oai 


93667 


36650 


93043 


38368 


39875 


91706 


4,469 




3o 


6 


35048 


93657 


36677 


9303. 


38395 


9=377 


39903 


91663 


1^ 






3i 


35075 


93647 


36704 




38333 


9=366 


39938 


4,533 


90973 


38 


5 




33 


35.0a 


93637 


36-3. 


530,0 


38349 
38376 


93355 


39955 


9,67. 


4)5^ 


90960 




5 




34 


35] 3o 


936=6 


36758 


1:^ 


9=343 


39983 


91660 


90948 


=6 


5 




35 


35 1 57 


936.6 


36785 


384o3 




4000B 


9,648 


4,603 


90936 


35 


5 


T7 


36 


35i64 


93606 


368ia 


93978 


38430 


9=33, 


4oo35 


9(636 


41638 


gog^-t 


34 


4 


u 


35a IT 
35a39 


$^. 


36839 
36867 


93967 
93956 


38456 


9=3.0 
9=399 
93387 


4006= 
40088 


91635 
9,6.3 


47655" 
4.68. 


S 


33 


4 
4 




39 


35a66 


93575 


36894 


93945 


385,0 


4o.,5 








4 




40 


35=93 


93565 


369^7 


93935 


38537 


93376 


4oi4i 


9.590 


4,734 


90B75 




4 




41 


353ao 


93555 


36948 


93934 


38564 


93365 


40.68 


9.578 


4,760 


90863 


\t 


3 


-i 


43 
43 


3534? 


93544 


36975 


9'9'3 


3859. 


93354 


40.95 


9.566 


41787 


9085. 


3 


35375 


93534 






18677 


93=43 


403=. 


9.555 


4.8.3 


» 


'I 


3 




44 


354oa 


935a4 


37039 
37056 


38644 


9 J =3. 


40=48 


9,543 


4.840 


.6 


3 




45 


354a9 


935,4 


3867, 


93330 


40=75 


9,53. 


4.866 


908.4 


:5 


3 




46 


35456 


935o3 


37083 


93870 


38698 


93309 


4o3oj 


l'.n 


41893 


90803 


.4 


3 




47 


35484 


;fS 


371 TO 


93859 


38;i5 


4o338 


4.919 
4,945 


90790 


.3 




4r 


48 
49 


355II 
35538 


37.37 
3^64 


93849 


38753 


4o355 


9M96 


9077S 






9347J 


93838 


W?6 


9=175 


4o38i 


91484 


4,97a 


90766 








5o 


35565 


,346, 


37.9. 


^3837 


388o5 


9=.64 


40408 


9.473 


4.998 


90753 








5i 


3559a 


93453 


373.8 


93816 


38833 


9=153 


4o434 


9.46, 


430=4 


90741 


t 






5a 


35619 


9344. 


37345 


93805 


38859 
38886 


93.41 


4o46t 


9-449 


43o5. 


90739 






53 


35647 


9343. 


37373 


VX 




40488 


91437 


43077 


90717 






ff 


54 
55" 


35674 


934.0 


37399 


389.3 


931,9 


4o5i4 


9.435 


43104 


90704 


6 




357f" 


934.0 


37336 


93773 


'ii 


93107 


4o54i 


9.4.4 


4^737 


^ 


5 






56 


35738 


93400 


37353 


93763 


ll^s 


4o567 


9.403 


43,56 


4 




>6 


57 


35755 


9338, 


37380 


9375. 


38993 


40594 


91390 


4=,83 


90668 


3 




16 


58 


3578a 


& 


37407 


93740 


39030 


K^l 


4o63, 


91378 


Zl^ 


90655 








59 


35810 


37434 


93739 
93718 


39046 




40647 


9.366 


90543 






_»7 


60 


35837 


93358 


3,46. 


39073 




40674 


9.355 


4 = 363 


9063t 


"m" 


— 


N. CO] 


N. line. 


N. cos 


K.iine. 


N. coa 


^. siTie. 


N. cos 


N.llne. 


N. cos 


N.siBfl. 


69* 


68= 


67" 


66= 


65° 







TABLE XXIV. (P^iW 


Of Natural Sines. 


36 




as* 


Sff* 


sr> 


28" 


39" 


"& 


14 


_M 


N.uoe 


N. ™s. 


N.ime 


N- COS. 


N. line 


N. coi. 


N. >me 


^. COS. 


N. tme 


«..«. 


43361 


■3^63? 


43837 


89879 


IS 


8^ 


46947 


B8195 


48481 


87461 






41188 


60618 


43863 


89867 


89087 


46973 


8818, 


485o6 


87448 


S 








4i3t5 


90606 


43889 
43916 


8^4 


45451 


8^074 


46999 


88167 


48531 


87434 






3 


4i34i 


^^, 


8^1 


45477 


89061 


47014 


88154 


48557 


874.0 


57 






4 


4i367 


43^41 


89818 


455o3 


89048 


4705o 


88140 


48583 


87406 


56 






5 


41394 


90569 


43968 


89816 


45519 


B9035 


47076(88216 


48608 


8739, 


55 




3 

-3 


_£. 


4i4io 


?o55? 


43994 


89803 


45554 


89^ 


47101 1 881,3 


48634 


87377 


54 

53 


-77 


41446 


90545 


44010 


89790 


45580 




47117 


§§;i? 


^^t^ 


«7363 


3 


8 


41473 


9053i 


44o46 


89777 


45606 


47i53 


48684 


l]lit 


5i 




4 


9 


4149? 


9o5io 


44071 


89764 


45631 


47,78 




487,0 


5. 




4 




90507 


44098 


89751 


45658 


88968 


47104 


86,58 


48735 


87321 


So 




5 




4i55i 




441^4 


89739 


45684 


B8955 


47119 


88144 


4876. 


87306 


'^i 




S 


■^ 


41578 


44i5i 


89716 


457 IL. 


88941 


47155 




48786 


87193 


46 

47 


-ff 


41604 


90470 


44177 


89713 


45736 


889 j8 


4?^ 


88777 


486,1 


87178 


6 


14 


4163 1 


90458 


44io3 


89700 


45761 


889,5 


47306 


S6!o3 


48837 


87164 


46 






j5 


41657 


90446 


44119 


89687 


45787 


88901 
88688 


47331 


88089 


48861 


87160 


45 




7 


iG 


4i6S3 


90433 


4415! 


8^674 


458.3 


47358 


88075 


48888 


87135 


44 




7 




gSI 


5o4ii 


44181 


8^651 


45839 


68875 


47383 


88063 


48913 


87121 


43 




8 
8 


18 
'9 


90408 


44307 


89649 


4586? 


88861 


i74o9 


68048 


48938 


87107 


43 




41761 


^si 


44333 


89636 


458^ 




47434 


88534' 


48964 


f"H 


4i 




9 




4a786 


44359 
44385 


89613 


459.7 


88835 


47460 


88020 


4S989 


!''2^ 


40 


9 


9 




4181 5 


90371 


89610 


45943 




47486 


88006 


49014 


87164 


S 


9 






4i84i 


?o358 


44411 


8^5^ 


45968 


BfiBo8 


47511 


87993 


49040 


87150 


9 




13 


43867 


90346 


44437 


45994 


B8795 
88781 


47537 


gl 


49065 


87i36 


37 


1 


12. 


j5 


41894 


90334 


44464 


8957. 


466lo 


47561^ 


49090 


87.11 


36 




^53^ 


44490 


8955a 


46o46 


8H768 




87951 


49116 


87.07 


^ 


8 




16 


41946 


90309 


445i6 


89545 


46071 


88755 


47614 


87937 


49.41 


87093 


34 


8 








44541 


89533 


46097 




4766? 


87913 


49166 


87079 


33 


8 




18 


ii 


44568 


1$:^ 


46ii3 


8S738 




49193 


87064 


33 


7 


i3 


19 


90171 


44594 


46,49 


88715 


47690 


491,7 


r°^ 


3i 




i3 


3S 

IT 


43o5i 


?oi59 


44630 


89493 


46175 




477.6 


49341 


87086 


3o 


T 


43077 


90146 


446i6 


89480 


46101 


^688" 


47741 


M6S 


49368 




14 


31 


43io4 


90133 


44671 


89467 


46316 


88674 


477U7 


87854 


49393 


87007 


7 


i4 


33 


43i3o 


90311 


44698 


89454 


46i5i 


8366, 


47793 


87840 


493.8 


l^ 


^Z 


6 


t5 


34 


43[56 




44714 


89441 


46178 


88547 


47818 


87816 


49344 


86978 


36 


6 


i5 


35 


43181 


90196 
901S3 


44750 


89418 


463o4 


86634 


47844 




49369 


86964 


35 


6 


16 
16" 


36 

37 


43109 


44776 


894.5 


4633o 


88610 


47869 
"4789"5" 


87791 


49394 


86949 


34 

33 


6 


43^ 


90171 


44801 


89403 


46355 




87784 


494.9 


86935 


16 


38 


43i6i 


901 58 


44818 


'& 


4638, 


lllfo 


47910 


87770 


49445 


86931 




5 


17 


3o 


43187 


90146 


44854 


46407 


47946 


87756 


49470 


86906 
86891 




5 


17 


45 


433i3 


90133 


44880 


89353 


46433 


88566 


47971 


S7743 


49495 




5 


t8 


41 


43340 


90130 


44906 


89350 


4645S 


88553 


47997 


K:? 


4951. 


86878 


17 


4 


18 
19 


41 


43366 




44^1 


89337 


46484 


88539 


48011 


49546 


86863 


4 

-4- 


43 


43391 


PJ 


44958 


893,4 


1657Z 


S8536 


48048 


87701 


4957. 


86849 




44 


43418 


44984 


8^.1 


46536 




48073 


87687 


49596 


86834 


16 


4 




45 


43445 


90070 


456.0 


It 


4656, 


ffi 


4fio99 


87673 


49611 


86830 


15 


4 




46 


43471 


90057 


45o36 


46587 


48,14 


87659 


49647 


86Bo5 


14 


3 




47 


43497 


90045 


45o6i 


89173 


466i3 


S8471 


48. 5o 


87645 


49672 


^^9' 


i3 


3 


TT 


48 
49 


435I3 


9003 1 


45088 


89159 


46639 


88458 


48175 


87681 


49697 


86777 


77 


3 

-r 


43549 
4357! 


90019 


45114 


69145 


46664 


88445 


48";^,- 


87617 


49713 






5i 




45,40 


89131 


46690 


88431 


48116 


87603 


49748 


ff'f 








5i 


43601 


45i66 


IP 


46716 


88417 


48i5i 


87589 
87575 


49773 


86733 


t 




i3 


5a 


436i8 


45i9i 


46741 


884o4 


48177 


49798 


867.9 




j3 


53 


43654 


89968 


45i;8 


z^ 


46767 


88390 


483o3 


87561 


49814 


86704 


7 




il 


54 


43680 


&^6 


45=43 


46793 


88377 


483i8 


87546 


49849 


8('<69o 


6 
~5 


-^ 


24 


55 


43706 


89943 


45169 
45195 


89,67 


468i9 


88363" 


48354 


87531 


49674 


86675 


^4 


56 


43733 


e?^3o 


89153 


46844 


88349 


48379 
484o5 


87518 


49699 


86661 


4 




i5 


57 


gs 


8^18 


45311 


89140 


46870 


8S336 


87504 


499^'! 


86646 


3 




j5 


58 


K 


45347 


89137 


46896 


88311 


4843o 


87490 


49950 


86631 






j6 


59 


438ri 


45373 


89114 


4695. 


883oe 


48456 


87476 


49975 


^ 






s6 


A 


43837 


8^79 


45399 


S5.W 


46947 


88195 


48481 


87463 


5oooo 































ny Google 































25 


M 


30= 


31° 


38= 


33° 


34. 


60 


16 

16 




N. <-m. 


N. sine 


N. ros. 


N. sine 


N. COS. 


N.ilae 


N. COS. 


N.sine 


N. CM. 


Soooo 


866o3 


5i5o4 


857.7 


53992 


84805 


54464 


83867 


MSS 


81904 
83S87 






5ooa5 


S658S 


5.539 


85702 


536i7 


84789 


54488 


B385. 


It 


16 






5oo5o 


86573 


5.554 


85687 


53o4. 


84774 


545.3 


83835 


55968 


83871 


i5 






50076 


86559 


5i579 


85672 


53o66 


8475? 
84743 


54537 


838,9 


55991 


63855 


57 


i5 






Soioi 


86544 


5i6o4 


65657 


5309. 


54561 


838o4 


56276 


83839 


56 


,5 






5oia6 


86530 


5i638 


65643 


53175 


64738 


54586 




56040 


82833 


55 


i5 


3 


-^ 


5oi5i 


865i5 


5(653 


65637 


53i4o 


64?. 3 


546.0 


83773 


56o64 


83806 


54 
53 


-_ 


50176 


865oi 


51678 


65677 


53.64 


84697 

846S. 


54635" 


63756 


56o88 


83790 


3 




5oaoi 


864S6 


5i7o3 


85507 
85582 


53,89 


54650 


83740 


56ii3 


83773 


53 


i4 


4 




50337 


85471 


51738 


53314 


84666 


54683 


83734 


56i36 


83757 


5i 


i4 


4 




5oa5a 


86457 


51753 


85567 


53338 


6465o 


54708 


63708 


56, 60 


82741 


5o 


,3 


5 




5oa77 


86443 


5.778 


8555i 


53363 


84635 


54733 


83692 


56.84 


81724 


47 


,3 


,5 
5 


7T 


5o3oa 


86437 


5i8o3 


85536 


53388 


846 = 9 


54756 


83676 


56ao8 


83708 


i3 

-a 


5o3a7 


864.3 


5i6i8 


85531 


533>a 


846o4 


"54^.- 


83660 


56233 


81693 


6 




5o35a 


863^ 


5 .85= 


855o6 


53337 


64588 


548o5 


83645 


56256 


62675 


46 




6 




5o377 


51877 


B5491 


5336. 


84573 


54B39 


83630 
836. i 


56260 


83650 


45 




7 




5o4o3 


86360 


5190a 


85476 


53386 


84557 


54854 


563o5 


82645 


44 




7 




5d4:.8 


86354 


61937 


85461 


534.1 


84542 


54878 


83597 
8358. 


56339 
56353 


82636 


43 




8 

T 


^ 


5o453 


86340 


5.553 


85446 


53435 


84536 


54903 


836.0 


4a 
4i 


^ 


50478 


853>5 


5i977 


8543i 


53460 


845.. 


54927 


83565 


56377 


62593 


8 




5o5o3 


863 10 


5jO03 


854i6 


53484 


84495 
844So 


5495. 


83549 
83533 


564o. 


81577 


40 




9 




5o528 


e6ao5 
86381 


52oa6 


85401 


53509 


54975 


564i5 


83561 


II 




9 




50553 


53o5i 


85385 


53534 


84464 


54999 


835.7 


56449 


83544 








50578 


86366 


53076 


85370 


53558 


84448 


552i4 


83501 


56473 


81536 


37 




1^ 


=4 
15" 


5o6o3 


86a5l 


Saio. 


85355 


53583 


84433 


55048 


83485 


56497 


8i5ii 


36 
"35" 


9 


5o6a8 


86a37 


■5^7^ 


85340 


"53&i7 


84417 


■5W7 


83469 
83453 


l65l7 


81495 




a6 


50654 


86333 


5a, 5i 


85325 


5363a 


84403 


55097 


56545 


83478 


34 


9 






50679 


86ao7 


53175 


853io 


53656 


84386 


55 12. 


63437 


56569 
56593 


8346a 


33 


9 




a8 


50704 


86.93 




85394 


53681 


84370 


55.45 


83421 


83446 


33 


1 




39 


507=9 


86.78 


5aaa5 


85379 


53705 


84355 


55169 


834o5 


566)7 


83429 
814 1 3 


3.. 


.3 
[3 


3^ 
3i 


5o75i 


86i63 


SaaSo 


85364 


53730 


84339 


55194 


83389 


5664. 


3o 
39 


6 


50779 


86.46 


62375 


85349 


53754 


84324 


"55178 


83373 


"56665 


"8^3^ 
6a38o 


i3 


3a 


5o8^S 


86i33 


52299 


85s34 


53779 


843o8 


55343 


83356 


56689 


3g 




i4 


33 


5o8a9 


86119 


533iS 


85216 


536o4 


84393 


55366 


83340 


567.5 


8i363 






■4 


34 


5o854 


86104 


53349 


85203 


53838 


84377 


55191 


83324 


56736 


82347 


26 




.5 


35 


50879 


86069 


5237S 


65.88 


53853 


84261 


553T5 


833o8 


56760 


8333o 


25 




i5 
75- 


36 
37 


50904 


86074 


52399 


85.73 


53877 


84245 


55339 


H£2i 


56784 


833i4 


34 


6 


509a 9 


86050 
86045 


53423 


"85757 


■535^ 


84330 


55363" 


83376 


566o8 


83397 
82281 


IT 


~6" 


16 


38 


5095a 


5a448 


85.4a 


53936 


843.4 


55388 


83260 


5683a 




6 


i6 


39 


50979 


86o3o 


52473 


85137 


53?5i 


8419S 


55411 


83244 


56856 


83264 




6 


17 


Z 


5ioo4 


86oi5 


52496 


651.3 


53975 


84181 


55436 


83338 


56680 


83346 






17 


4i 


5ioa9 


86000 


5a5ia 


85096 
85o8. 


54000 


84.67 


55460 


633,3 


56904 


83331 


\l 






4a 
43 


5io54 




53547 


54034 


84.5, 


55484 


83,95 


56918 


83314 




51079 




1^ 


85o66 


■54^ 


■847B- 


«5^ 
55533 


63.79 


56953 


82.98 
83181 




iS 


44 


5..0S 


85956 


53597 


85o5i 


841 20 


83.63 


56^76 


16 




'9 


45 


5[ia9 


85941 


536ai 


85o35 


54097 


84.04 


55557 


83.47 


57000 


63165 


.5 




'9 


46 


5.154 


85936 


5a646 


85o30 


54.22 


84o88 


5558, 


83,3, 


57014 


82148 


14 






47 


51179 


at^Je 


52671 


85oo5 


54 146 


84073 


556o5 


63. ,5 


57047 


63.33 


.3 




^ 


48 
49 


5rao4 


53696 




54.71 


84o57 


55630 


83098 


5707. 


83ii5 


7? 


_1 






5^7^ 




54195 


84o4i 


55654 


83082 


57095 


a 






S.aSS 


85866 


53745 


SiBi 


54=30 


84025 


55678 


83o66 


57'. 9 
57. 45 








5° 


51279 


8585. 


53770 


54244 


84009 


55701 


83o5o 


83o65 


t 






5:. 


5i3o3 


85836 


52794 


849'8 


54569 
54393 


8399a 


55736 


83o34 


57.67 


82046 






53 


5i3a9 


85811 


52819 




63978 


55750 


83017 


57.91 


B2033 






!3 


54 
"55" 


5 1354 


858o6 


53844 


543.7 


83963 


55775 


83oo, 


572.5 


830.5 


6 

T 


-^ 


^13^ 


W^ 


535 




5434:- 


83946 


If.^ 


83985 


-z^ 


Sim 


s3 


56 


5,4o4 


B5777 




54366 




l^ 


57163 


4 




34 


57 


5i4a9 


85763 


52918 


8485. 


54391 


83 .5 


55847 


57386 


8.96! 


3 




j4 


58 


5.454 


85747 


53943 


84836 


544i5 




55871 


62936 


573.0 


81949 






25 


59 


51479 


8573a 


53967 


848IO 


54440 




55895 


83930 


57334 


8,93; 






i5 


66 


5i5o4 


85717 


53993 


846o5 


54464 


83867 


559.9 


83904 


57358 


8^ 


IT 


-■ 


N. MS 


N. sine 


RT^ 


n.sme. 


N. ros 


N.Bine. 


N. CO. 


N.sioe. 


N. «u. 


N.Bine. 






59» 


58= 


57" 


56" 


55" 







TABLE XXIV. [P«i«i« 


Of Natural SLnes. 




M 


35° 


36° 




38° 


39= 




18 


N. sin« 


N. CM, 


N. sine 


N. cos. 


N.>i»e 


N- CM. 


N.jine 


N. coi. 


N.iiut 


Pi. CM 




"5^358 


879.5 


58779 


te 


60.81 


^^86* 


6,566 


7880, 


6i^ 


777.5 


60 


ir 






5738. 


58BOS 


6oid5 


79846' 


6,589 


78783 


61955 


77696 


if 


18 






574o5 


58816 


80867 


60118 


79819 


61611 


78765 


61977 


77678 


17 






57419 
57453 


81865 


sn 


8o85o 


6015. 


79a,, 


6.635 


78747 


636oo 


77660 


57 








8.848 


80833 


60174 


79793 


6,658 


78719 


63011 


77641 


56 


17 






57477 


8i83i 


588;^ 


808.6 


G0198 


79776 


6168. 


787" 


63o45 


77633 


55 


17 


'~3 


"7 


57501 


eiSiS 


58910 


80799 


6o3ai 


79758 


6.704 


7S694 


63o68 


77605 


54 
33 


.6 
■|6 


575^4 


81781 


58943 


80781 


60344 


7974. 


e.716 




63090 


77^86 


3 




57548 


58967 


80765 


6o367 


79713 


6.749 




63ii3 


77568 


5i 


16 


3 




57571 


8.765 


58990 


80748 


60390 


79706 


6.773 


78640 


63i35 


77550 


5. 


.5 


4 




57596 


8.748 


59014 


80780 


604,4 


79688 


6.795 


78631 


63.58 


7753. 


5o 


i5 


i 




is? 


81731 


59037 


807.3 


60437 


7967. 


6,8.8 


78604 


63i8o 


775.3 


t 


■5 


5 
5 


73" 


8.714 


5506. 


80696 


60460 


79653 


6.84, 


78586 


63303 


77494 


14 


57667 


i-x 


59084 


80679 


6o483 


^^635- 


6.864 


^8568" 


63335 


77476 


47 


.4 


5 




5769' 


59,08 


80661 


6o5o6 


796,8 


61887 


78550 


63i48 


77458 


46 


.4 


6 




57715 


6.664 


59131 


80644 


60519 


79600 


6.909 


78531 


6317. 


7T439 


45 


(4 


6 




57738 


8.647 


59154 


80617 


6o55i 


79583 


6.933 


785.4 


63193 


774ii 


44 


i3 


7 




5776:1 


8,63. 


59,78 


806.0 


60576 


79565 


61955 


78496 


633.6 


77403 


43 


l3 


~ 


-J 


57786 


e.6i4 


5910. 


80593 


60599 


79547 


6.978 


78478 


63338 


77384 


41 
4. 


i3 


578,0 


8,597 
8,58o 


59115 


80576 


60621 


79530 


6100. 


^84fc 


6336. 


77366 


8 




57833 


59148 


80558 


60645 


795.3 


63034 


78443 


63383 


77347 


4o 




6 




57857 


8,563 


59171 


8054. 


60668 


79^94 


63046 


78434 


634o0 


77339 


u 




8 




57881 


8.546 


59195 


8o534 


60691 


79477 


61069 


78405 


634i8 


773 10 




9 


33 


57904 


8.530 


593,8 


8o5o7 


607,4 


79459 


63091 


78387 


6345. 


77193 


h 




_9 


a4 
a5 


57928 


8,5.3 


59341 


80489 


60738 


7944. 


61, i5 


78869 


63473 


77173 


36 
15 


~ 


5^07" 


8,496 


59365 


80471 


■fc^ 


79434 


6ii38 


^8357 


63496 


77355 




j6 


57976 


8.479 


5p369 


80455 


60784 


79406 


61,60 


78333 


635]8 


77336 










^ 


8.45) 


59411 


80438 


60807 


79388 


61, 83 


783.5 


63540 


773.8 








j8 


8.445 


5^36 


80410 


6o83o 


7^37. 


63106 


78197 


63563 


w 


33 








58o47 


8.416 


59459 


8o4o3 


6o853 


79353 




78379 


63585 


3i 


9 


— 


3o 
3i 


58070 


8.4.3 


i^isl 


8o386 


60B76 


79335 


63 3 51 


78161 


636o8 


77163 


^ 
'? 


.1. 

t 


58094 


8,395 


59506 


8^368" 


60899 


793.8 


61174 


78343 


63630 


77144 




3i 


587^ 


8,378 


595.9 


Bo35i 


609)3 


79300 


61197 


761=5 


63653 


77135 


38 


i3 


33 


58i4i 


8.36. 


5955. 


8o334 


60945 


79181 


6i330 


78106 


63675 




17 


8 


i3 


34 


58i65 


8,344 


59576 


8o3i6 


60968 


79164 


63341 


78188 


63698 


77088 


16 




i3 


35 


58,89 


8.3,7 


59599 


'^T. 


6099. 


79^47 


63365 


78170 


63710 




35 




i4 
i4 


36 


58:,.^ 




shti 


6^5 


79319 


63388 


78151 


63741 


77o5. 


14 




58336 


8.,93 


59646 


8dj64 


eTSTa" 


79a i. 




■^8734" 


63765 


77033 


i3 




i5 


38 


58q6o 


6,1,76 


59669 


8oj47 


6.061 


79.93 


61433 


78.. 6 


63787 


770.4 






i5 


39 


58>83 


8.359 


5569S 


8oi3o 


6.084 


79,76 


6-J456 


78098 


638io 


76996 






(5 


4o 


583o7 


8. Ml 


597.6 


801,1 


61.07 


79" 58 


63479 


78079 


63831 


76977 






i6 


4i 


58330 




^M 


80,95 


6.i3o 


79,40 


61S03 


7806. 


63854 


76959 


17 




i6 


43 

43 


58354 


81108 


80, ?8 


6.. 53 


79'== 


61534 


78043 


63877 


W 


T 


583^ 


8119. 


59786 


80,60 


61,76 


79,05 


61547 


7fei5 


638,9 


769'i 




44 


5S401 


8, .74 


59809 


80,43 


6.,99 


79°87 


61570 


78007 


639]] 


?^4 


16 






45 


58415 


8ii57 


59831 


80115 


6.J11 


79069 


61591 


77988 


63944 


i5 




i8 


46 


58449 


81140 


59856 


80108 


6.345 


7?o5; 


616,5 


77970 


63666 


76866 


i4 




i8 


47 


58471 




59879 


8009. 


6.168 


79033 


6i638 


77951 


68989 


76847 


,3 




i8 
'9 


48 
49 


58496 


81106 


5990J 


80073 


6,39, 


790,6 


61660 


77^4 


646.1 


76818 


~ 


T 


M5T^ 
58543 


i;^ 


59916 


8oo56 


6,3,4 


9 


61683 


'X 


64033 


768.0 


'9 


5o 




59949 


8oo38 


6,337 


63706 


64o56 


76791 








5i 


58567 


8.o55 


59^ 


80011 


6j36o 


78961 


63738 


778^9 


64078 


76771 


I 






5j 


58590 


8,o3B 


59995 


8ooo3 


61 383 


78944 


6175. 


77S6T 


64.00 


76754 






53 


586t4 






79986 


61406 




61774 


77843 


64,33 


76735 






-11 


54 
55 


58637 


8,oo4 


S 


79968 


61419 


78908 


61796 


77814 


64.45 


767.7 


6 
-5 


-i 


5866? 


80987 


6oo65 


79951 


6145. 


7889, 


638,9 


"^^" 


64,67 


■^66^ 




56 


58684 


80970 


600S9 


7^34 


6.474 


78873 


63841 


77788 


64.90 


76679 


4 






5? 


58708 


80953 


60.. 1 




6,497 


78855 


61864 


77769 


64313 


7666. 


3 






58 


5873. 


S0936 


60.35 


6,5io 


78837 


61B87 


7775T 


64334 


76643 






a3 


59 


58755 


809.9 


60.58 




6,543 


788.9 


61909 


77733 


64356 


76633 






.=!i 


6o 


58779 


8090? 


601B1 


79864 


6,566 


7880T 




77715 


64179 


76604 





— 


N. fos 


N..™. 


N. foi. 


N. line. 


N. CM 


N.iioe. 


N- fo». 


Vline. 


N. CM. 


N. tiBt. 


M_ 


540 


53" 


52- 


51° 


- 







PwW] TABLE XXIV. 


Of Natural Sines. 


22 


;m; 


4». 


4. 


«= 


430 


440 


fo- 


19 

'9 


N. .Lne, 


N. ™. 


^. sbe 


PJ. tM, 


N. <LnB. 


N, coi. 


N. tme 


Pi. CM. 


N.sine 


N, CM. 


64179 


76604 


65656 


75471 


669.3 


74314 


■m^ 


73.35 


69466 


71934 






643oT 


76586 


656i8 


75451 


65635 


74195 


6811. 


73.16 


69487 


V'%i 


il 


\t 






643a3 


76567 


6555o 


75433 


66656 


74176 


68143 


73096 


69508 




3 


64346 


^48 


65671 


754.4 


66978 


74i56 


68164 


73076 


69539 


7.873 


57 


iB 




4 


64368 


76530 


65594 


75395 


66999 


74i37 


68185 


73o36 


69549 


71853 


56 


18 




5 


64390 


765[i 


65716 


753?5 


67011 


74117 


683o6 


73o36 


69570 


7.833 


55 


17 


-3- 


7 


644i> 


76491 


65738 


75356 


67043 


74.9B 


68337 


730.6 


69591 


718.3 


54 
■5T 


-IZ 


64435 


764=3 


65759 


75337 


6^ 


74178 


-6834^ 


1^ 


696.1 


7179^ 


3 


8 


64157 


^55 


6578T 


753.8 


67086 


74.59 


68370 


1^^976 


69633 




5i 


.6 


3 


9 


64479 


76436 


65eo3 


'^Z 


67.07 


74.39 


68391 


73957 


69654 


7.751 


5. 


)6 


4 




645oT 


764.7 


658i5 


67119 


74110 


68413 


71937 


69675 


71731 


5o 


16 


4 




645i4 




65847 


75a6i 


67. 5T 


74100 


6B434 


719.7 


69696 


7.7.. 


47 


16 


4 
5 


if 


64546, 
64568 


65869 


75a4i 


67.7' 


74080 


68455 


71697 


^ 


7169. 


i5 






67194 


7406. 


68476 


71877 


69737 


7.67. 




i4 


64590 


76341 


6591 3 


75ao3 


67115 


74o4i 


68497 


71857 


69758 


7.650 


46 


.5 


6 


15 


646T» 


763i3 


65035 


75.84 


&7137 


74011 


685i8 


71837 


69779 


7.630 


45 


.4 


6 


iG 


64635 


763o4 


65956 


75.65 


67158 


74001 


68539 


73817 


69S00 


71610 


44 


.4 


6 


'7 


64657 


76186 


66978 


75.46 


67180 


7I983 


6856. 


73797 


6^ 




43 


.4 


7 
7 


18 
'9 


64679 


76167 


66000 


75.16 


67301 


73963 


68581 




69841 


mT 


i3 


647<'i 


76148 


65^ 




573a3 


73944 


686o3 


S57 


69861 




7 




647^3 


76319 


66044 


75088 


67344 


73914 


68614 


71737 


69883 


]\'a 


40 


i3 


e 




64746 


76a iS 


66066 


75069 


67366 


;!2^ 


63645 




69904 


3p 




8 




64768 


76191 


660BS 


75o5o 


67387 


68666 


716^ 


69935 


7.488 


38 




8 


i3 


64790 


76173 




75o3o 


67409 


73865 


68683 


71677 


6^6 


71466 


37 




9 
9 


a4 


64Sia 


76154 


66i3i 


75011 


67430 


73846 


68709 


71657 


^ 


7.447 


36 
IT 


77 


64834 


76.35 


66.53 


74991 


67451 


73816 




71637 


69987 


7.417 




a6 


64856 


761.6 


66.75 


74973 


67473 


73806 


6875. 


73617 


70008 


71407 


34 






'2 


64878 


76097 


66.97 


74953 


67495 


73787 


68773 


7359? 


70019 


71386 


33 






3^ 


6490. 


7607B 


66a 18 


74934 


67516 


73767 


66793 


73577 


70049 


7.366 


3i 






39 


64933 


76059 


66a4o 


74915 


67538 


73747 


668.4 


73557 


70070 


71345 






^ 


36 

37 


64945 


7604; 


66a6a 


74696 


67559 


73738 


66835 


73537 


7009. 


7i3i5 




~9 


64967 


76<iii 


66a84 




67580 


73708 


68857 


7i5i7 


70.13 


7.3o5 






33 


64989 


76003 


663o6 


74857 


67601 


73668 


68878 


71497 


70. 3i 


7.184 


9 




33 


65oii 


75984 


66317 




67613 


73669 


68899 


7 '477 


70.53 


7.154 




1 




?? 


65o33 


75965 


66349 


?48.B 


67645 


73649 


68910 


73457 


70174 


7.343 




i3 


35 


65o55 


7594s 


66371 


;S8s 


67666 


73619 


68941 


71437 


70.95 


7.313 




8 


i3 
■4 


36 


65o77 


75917 


66893 


67688 


736.2 




73417 


701^ 


7iao3 


^ 


8 
7 


657^ 


'X 


66474 


74760 


67709 


73590 




73397 


70i36 


71181 


i4 


38 


65131 


66436 


74741 


67730 


73570 


69004 


71377 


70157 


71161 




7 


14 


39 


65.44 


75870 


66458 


74711 


67751 


7355. 


69015 


71357 


70377 


71141 




7 


i5 


4o 


65 166 


7585. 


66480 


74703 


67773 


7353. 


69046 


73337 


70398 


71.3. 




6 


iS 


4i 


65iB8 


75S31 


66501 


74683 


67795 


735 u 


69067 


713.7 


7o3i9 


7. .00 




6 


i5 
"i6 


4s 
43 


65310 


758.3 


665i3 


74664 


678T6 


73491 


69086 


71397 


70339 


7.080 


~ 


6 


65137 


75794 


66545 


74644 


67837 


73471 


69109 


7"77 


7o36o 


7.059 


16 


44 


65a54 


75775 


66566 


74615 


67859 


73453 


69130 


73357 


7o38i 


71039 




5 


17 


45 


65176 


75756 


65588 


74606 


67880 


73431 


69,51 


73336 


70401 


;^ 




5 


'7 


46 


65198 


75738 


66610 


74586 


6790. 


734.3 


6?.7i 


711.6 


70411 




4 




47 


65310 


75719 


6663a 


74567 


67913 


73393 


69.93 


71.96 


70443 


70978 






18 


48 
49 


6534a 


75700 


66653 


74548 


67944 


73373 


69114 


71.76 


70463 


7"957 


77 


4 


65364 


Vlefc 


66675 


7d5i8 


67965 


73353 


69135 


73.56 


70484 


70937 


t6 


5o 


653B6 


7566. 


66697 


74509 


67987 


73333 


69156 


73.36 


7o5o5 


'X 




3 


'9 


5i 


654oB 


7564a 


667.8 


74489 


68006 


733.4 


69177 


71116 


7o5,5 




3 


'9 


5a 


65430 


756a3 


66740 


74470 


68019 


73194 


69196 


71095 


7o546 


UT5 


3 


■9 


53 


65453 


756o4 


6676J 


7445. 


6805. 


73174 


693.9 


73075 


70567 


70855 








54 


65474 


75585 


66783 


74431 


68073 


73=54 


6^341 


73055 


70587 


70834 


T 


-^ 


65496 


75566 


66805 


7441 a 


68093 


73i34 


6,361 


73035 


70608 


708.3 




56 


655i8 


75547 


66817 


74 93 


681T5 


73ii5 


69381 


71015 


70618 


70793 






ai 


ll 


65540 


75518 


66848 


7473 


68.36 


73.95 


69403 


71995 


70649 


70771 








58 


65561 


75509 


66870 


74 53 


66167 


73.75 


69414 


7.974 


70670 


70751 








59 


65584 


75496 


66891 


74334 


68179 


73.55 


69445 


71954 


70690 


7073. 






^ 


60 


656o6 


7547T 


669.3 


743.4 


68106 


73.35 


69466 


7-934 




70711 








N. CM 


N.iiw. 


N. COS 


Pi. line. 


N. CM. 


N.jiiw. 


N. eo> 


N.<i«. 


^. ™. 


N.iiDe. 


If 




«. 


48" 


47- 


«. 


«- 







[PM-in 


TABLE XXV. 




Point of the Compasa. 


Pomu. 


Sloe. 


CtMine. 


Tangenl. 


CclEDg. 


Seoul. 


Co-ieranl. 




o 


InCneg. 


10.00000 


lof. neg. 


in&ute. 


10.00000 


Xnfinile. 


8 


o 1 


8.69080 




8.69133 


n.3o868 




.oooSa 


11. 30930 


7i 


o i 


8.99.30 


9-9979° 


8.99340 


.1 


00660 




.00310 


1 


.00870 


7i 


i 


9.i665a : 


9.99517 


9.17135 


.0 






.00473 




.83348 


7i 






9-9915? 


9.39866 


.0 


70.34 




.00843 




.70976 


7 




9-38557 


9.98679 


9.39879 


10 


601U 




.o.3ai 




.61443 


6i 




9.46*83 


9.98088 


9.48194 


.0 


5.806 




.0191a 




.537.8 '6*1 




9.51749 


9-97384 


9.55365 


.0 






.01616 




.4715. 


6i 




9.56i84 


9.96561 


9.6.7" 


.0 


38178 




.03438 




.4.7.6 


6 




9.63099 


9-95616 


9.67483 


10 


335.7 




o4384 




36,0. 


51 




9.67339 


99^543 


9.71796 


10 


17104 




05457 


10 


3i66. 


54 




9.71 io5 


9.93335 


9.77770 


.0 


13330 




.06665 


10 


18895 


5i 


3 


9-74474 


9.9>985 


9.83489 


.0 


175.1 




08015 


10 


35536 


5 


3 i 


9.77503 


9.S0483 


9.87010 


10 


.3980 


10 


09517 


10 


=S497 


4* 


3 1 


9.80335 


9.886.9 


9.914.7 


10 


o8583 


!0 


11181 


.0 


.97W 


4i 


31 


9.8^708 


9.86979 


9.95719 


10 


04371 


10 


i3oii 


10 


.7393 


4i 


4 


9.84949 


9.84949 


.0.00000 


.0 


00000 


.0 


i5o5i 


10 


.5o5i 


4 




CMioe. 


Sin*. 


Co-mng. 


TBogenl. 


Co-«ec8i.t. 


Secaol. 


Poinu. 


TABLE XXVI. 


Lt^arithms of Numbers. 












Mo. 


Ug. 


Ho. 


Log. 


No. 


Log- 


No. 


Log. 


No. 


Log. 


1 


O.OODOO 


31 


1.33333 


4. 


1.6117B 


61 


1.78533 


8. 


1.90849 


3 


a 


3oio3 


31 


t.34J4a 


41 




63335 


63 




793J9 


83 


..9r38i 


3 





4771* 


33 


I. 36173 


43 




63347 


63 




79934 


83 


1.91908 


4 




ioaoS 


34 


I.38Q3I 


44 




64345 


64 




80618 


84 


1.93418 


5 





69B97 


i5 


1-39794 


45 




6533. 


65 




8.391 


SS 


1.93941 


6 


o 


77815 


36 


..4.497 


46 




66376 


66 




81954 


86 


. .93450 


7 


o 


Uiio 


37 


1.43.36 


47 




th3.0 


tn 




83607 


87 


..93953 


e 





90309 


18 


I. 447.6 


48 




68134 


66 




8335. 


88 


..94448 


9 




954a4 


10 


1.46340 


49 




69010 


69 




83885 


«9 


1.94939 


10 


' 


00000 


3o 


I. 477.* 


5o 




69897 


70 




845.0 


90 


1 .95434 


11 


1 


0413, 


3i 


1.49136 


5i 




70757 


7" 




85.36 


91 


..959^ 


la 


I 


■79.8 


3i 


..5o5.5 


5» 




71600 


73 




85733 




1.96379 


i3 


I 


■1394 


33 


i.5i85i 


53 




71418 


73 




86333 


93 


l.9(J84« 


i4 


I 


i46i3 


34 


i.S3i48 


54 


. 


73339 


74 




H6913 


94 


1.973.3 


li 


I 


:7bD9 




.-54407 


55 




74036 


75 




87506 


95 


1-97771 


i6 


1 


30411 


36 


1.55630 


56 




74819 


76 




88081 


96 


1.9831, 


n 


I 


a3o46 


37 


1.56830 


b7 




75587 


77 




88649 




..9B677 


iS 


I 


25537 




..5797B 


S8 




76343 


78 




89109 


98 


1.99.33 


J9 


1. 


J7«7i 


39 


1.59106 


S, 




77085 


79 




89763 


99 


1-99564 


»o 


' 




40 


i.6o3o6 


60 




77815 


So 




90309 


(00 


a. 00000 



. ,,C~.tx>>^k 



timm TABLE XXVI. 




Mo. 100 leOO. Log. 00000 20412. 




^ 





I 


8 


3 


4 


5 


6 


7 


8 


9 




;io3 
io4 


oo43j 
00860 
0[j84 
o,7o3 


00475 
01745 


000B7 
oo5iS 

0.787 


oo56i 
00988 
014.0 
01818 


0017J 
od6o4 
oio3o 
0.451 
01870 


00647 
0.07a 
01494 
019.3 


00689 

01536 
0,953 


0.578 
01995 


00346 
00775 
01199 
0.620 
03o36 


.0389 

008,7 
01241 
0,661 
01078 


3 

4 
5 
6 

I 

1 


43 

4 

,1 

36 

3o 
34 
39 


43 

-4 
8 
i3 

17 

iS 

3I 
38 


io6 
109 


OS 119 
oi53i 

03743 


0157= 
037S3 


o34i3 
o38aa 


03543 
oi653 
o3o6o 
o3463 
03863 


01184 
01694 
03.O0 
o35o3 
03902. 


oi3i5 
01735 
o3i4i 
03543 
03941 


02776 

o35fl3 
0398, 


02407 
015.6 
o3iij 
o3Ci3 
o4oii 


02449 
028 57 
o3i6a 
o3B63 
04060 


03490 
028^ 

o33oi 
03708 
o4ioo 


n3 
ii4 


04139 
04532 

o5?^ 
05690 


04179 
04571 

osSe 
05719 


o4a.8 
o46io 

05767 


o4i58 
o465o 
o5o3R 
o54i3 
o58o5 


04197 
046&9 

05843. 


o4336 

051.5 
o55oo 
o588i 


04376 
04766 
05t54 
o5538 


044 1 5 
o48o5 
05.92 

o5o58 


04454 
04844 
o533i 
o56,4 
05994 


04493 
04883 
05269 
o565i 
o6o3i 


3 
4 
5 
6 

8 


41 

— 

8 
1" 
a5 

It 


40 

4 

e 
le 
34 

aS 

39 


ii6 

"9 


06070 
06446 

07555 


06108 

06483 
05656 
07aa5 
0759. 


06145 

o65iT 
06893 
07161 
07618 


06183 
06558 
06930 

0^ 


o6jai 
06595 


O0358 
06633 
07004 
07371 
07737 


06196 
06670 
07041 
07408 
07773 


06333 

07445 
07809 


oB37t 
06744 
071.5 
07481 
07846 


06408 
0678. 
07i5i 
07518 
07882 


I a.? 
"4 


07918 
08636 


^6 
09377 


08707 
09061 
094" 


^386 

09096 

09447 


o8o63 
08411 
08778 
09.3a 
09481 


o9^ 


oBi35 
06493 
08849 
09101 
09551 


08171 
08529 
08884 
09537 

og587 


08207 
08 565 
08910 


08143 
08600 
08955 
09307 
09656 


3 

i 

6 
2. 

3 

i 

6 
8 
? 

3 
4 
5 
6 

I 
? 

3 
4 
5 
6 

I 

3. 


39 

4 
8 

le 

i3 

3i 
35 
37 
A 

i5 
'9. 
26 

3o 
33 
35 

4 

7 

14 
18 

25 

18 
3i 
33 

-3 

7 

,3 
17 

ij 
36 
3o 


38 
4 
8 


136 

"9 


09691 
10037 

io38o 
10731 
11059 


09716 

104.5 
10755 
11093 


09760 
10449 


09795 
10140 
10483 
10813 
11160 


10175 
105.7 
.0857 
11193 


09S64 

io55i 
loe^ 

11317 


io585 
10954 
,1161 


.0958 
1,194 


,o653 


10346 
ii36i 


It 

»7 
3o 
34 
36 
4 

7 


i3i 
i3j 
i33 
i34 


.1394 
11717 


.■4>a 
11760 
11090 

ij4iB 
11743 


„46, 

11450 
.1775 


11494 
1.816 
11156 
13483 
11808 


.i860 
ii84o 


iiSSi 

Ii548 
11871 


11956 
.a;54 
13581 
.1905 


11959 
11187 
116.3 

11937 


11646 
.1969 


..094 

iaoa4 
.2351 
.1678 
i3ooi 


i36 
l3q 


i3o33 
13354 
13671 


i3o66 
13386 
13704 


.3098 
134TB 
13735 

i4o5i 
14364 


i3i3o 
i345o 
.3767 
14081 
14395 


■'348? 

.4416 


.383o 
14145 
14457 


■ 3216 
13545 
13863 


141^ 

i45io 


.3390 

•.^ 

14335 
.455T 


13351 
,3640 

,4581 


14 
18 

i5 


i4o 
i4i 
i4i 
143 
i44 


,«,3 

15239 

.5534 
.5836 


14644 
14953 

.55S 
15866 


14675 
14983 
15190 
15594 
.5^ 


>47o6 
i5o.4 
i53io 
i56i5 
.5917 


.4737 

i535i 
15655 
15957 


UTfiB 
15076 
i538i 
.5685 
.59S7 


i54ii 
.5715 


14819 
I5i37 

15441 
15746 
16047 


.486i 
.5)68 
15473 
,577fl 
16077 


,48,, 
.5,98 

.5Bo6 
,6,07 


34 

3 

7 


i4!) 

■4t 

i4J> 

;5.i 
iSi 
iSi 
i53 

■ 54 

■56 

Wl 

No. 


,6.3, 
.6435 
16731 
17036 
173,9 


16465 
.6761 
17056 
1734a 


.6197 
16495 

\% 
n377 


.6117 
.65i4 

17114 
17406 


.6i56 
16554 
168 5o 


.6=86 
16584 
.6879 
17173 
17464 


i63i6 
i66i3 
16909 
17101 
I7403 


16346 
16643 

Si 

i75ia 


,6376 
16673 
,6967 
17160 
1755. 


i?l 


14 
17 

i4 

V, 

32 
-3 
6 


18469 

.8«; 


.7bJB 

[8780 


■7b67 

i85=6 
1880B 


18170 
.8554 
18837 


18865 


■7754 
.804. 

.8893 


177S2 
18070 
i8355 
18639 


17811 

\», 

18667 
,8949 


17H40 

.B696 
18977 


,844. 
18714 


.a,. 

«oi4o 


19061 
■9340 
196.8 


,5645 


19117 
19396 

.9948 


19145 
19414 
.9700 
19976 
10149 


19.73 
.945. 

10176 


.9101 
.9479 
-9756 

3003o 

io3o3 


,9119 

10058 
io33o 


19557 
,9535 
198,, 

200B5 

io358 


,9561 

J9838 
5o385 


■3 
16 
'9 
a6 





1 


8 


3 


4 


5 


6 


7 


6 


9 



,y Google 



TABLE XXVI. !»*•»" 








Logarithms of Numbers. 








IS43, 










No. 
~65" 





1 


2 


3 


4 


5 


6 


7 


6 


9 




ao4ii 


30439 


30466 


30493 
30763 


1^5^ 


1^548" 


3o575 


30603 


B 


30656 


31 


130 


161 


ao5S3 


30710 


30737 


i:x 


308,7 


30844 




30935 




n 


1 


163 


.095. 


30978 


aioo5 


J1033 


3108S 




3i4o5 


31458 




6 


6 


i63 


anT9 


31345 




11399 


31 335 


3 1 353 


3.37B 


3143, 


3 


9 
16 


9 


164 


21484 


3l5ll 


i>537 


31564 


3-590 


31617 


11643 


31669 


3,696 


31,733 


4 
5 


165 


21748 


31775 


31801 


31837 


TT854 


ai88o 


31906 


3,933 


3,958 


31985 


i5 


166 




J3037 


33063 


33089 


33115 


33l4l 


33T67 


33453 




33346 


6 


■9 


18 


'67 




33557 


33334 


3335S 


33376 


3340 [ 


33417 


33479 


335o5 








168 


ja53i 


33583 


33608 


33634 


33660 


33686 




33737 


33763 




i5 




J69 


"789 


33814 


33840 


33866 


3389. 


"9' 7 


33943 


21968 


11994 


33oi9 


?. 


18 




170 


a3o45 


33070 


M 


33l3] 


33i47 




^3i^ 
i345i 


33333 


i3i49 


33374 


£9 


28 


17" 


333<» 


33335 


33376 


33401 


33436 


33477 


335C.1 


335i8 






171 


33553 


33578 


336o3 


33639 


13554 


13679 


33704 


33719 


33754 


33779 








173 


!38o5 


33830 


33855 


33880 


339-5 


i393o 


33955 


33980 


3400 5 


34o3o 






174 


a4o55 


34080 


34 105 


341 3o 


341 55 


34180 


34304 


14339 


34354 


34379 


4 

5 


9 
i5 




175 


243o4 


34320 

34576 


T435T 


34378 


344o3 


14418 


34452 


14477 


34502 


34537 




J76 


14551 


3460. 


34635 


3465o 


34674 


34699 


34714 


34748 


34773 


6 






']l 


34797 

354= 


34833 

35o66 


34846 


34871 
35ii5 


if:il 


34930 
35,64 


IS 


34969 
35311 


liW, 


35oi8 

35361 


8 


i3 


33 


179 


33385 


353 10 


35358 


J53B3 


i54o6 


3543, 


35455 


35479 


355o3 




36 


35 


180 


15537 


^555? 


^^5 


156^ 


^56^ 


15648 


^56^ 


tm 


■^57^5- 


35744 


~a7 


W 


181 


35768 


35793 


358 16 


35840 


35S64 


35888 


35913 




35983 


i8i 


16007 


360S1 


36055 


36070 
563 16 


36103 


36136 


161 5o 


i5i74 


36^21 




3 


3 


i83 


36345 


36269 
365o5 


36393 


3G340 


16364 


16387 


364, 1 


36458 




5 


5 


184 


36483 


=6539 


36553 


26576 


36600 


36633 


26647 


36670 


36694 


3 

4 


8 


8 


iS5 


36717 


^mt 


36764 


36788 


36S11 


36834 


36858 


1688? 


36905 


36938 




1S6 


=595. 


36975 


\^. 




37045 


37068 


37091 


17M4 


3;t38 


3716. 




i4 


i3 


187 


37184 




37354 


37377 


37300 


373i3 


17346 


37370 


37393 


6 


16 


18 


188 


37416 


37439 


37463 


374S5 


37508 


37531 


37554 


37577 




376S 




19 


,89 


37646 


37669 


'7693 


37715 


37733 


37761 


17784 


37807 


17830 


37853 


^ 


" 


'I 


190 
191 


j8io3 


tf. 




17944 
38171 


38194 


179S9 
18117 


"sSoTi" 


,8o35 




38081 






IIT4 


38340 


18163 


38385 


38307 


"as 


24 


19J 


3S33o 


38353 


3837a 


38398 


3S431 


38443 


38466 


18488 


385 1 1 


38533 






193 


38556 


38578 


38601 


38633 


18646 


28668 


38691 


38713 


38735 


38758 








^ 


38780 
39003 


38803 


38835 


38847 


38870 


28893 


iVi 


28937 


38959 




3 
4 


8 






T934r 


39070 


39003 


1^5- 


39,37 


39,59 


19.81 


39103 




.96 




39348 


39170 


39391 


393,4 


19336 


39358 


29380 


39403 


39415 


5 


i3 




197 


39447 


I'^t 


39491 


39513 


39535 


29557 


39579 
39798 


19601 


39623 


39645 


6 


i5 


■4 


198 


39667 


39710 


39733 


39754 




29830 


19843 


19863 


I 

9 


18 


'7 


J^ 


39B85 


39921 


39939 


3^951 


199Z1 


'9994 


3S0T6 


3oo38 


3oo6o 


3io8i 


33 


>9 


'3oio3 


30135 


3oi46 


3o,68 




3oni 


13^33" 


30355 


30376 


30398 


33 




3o330 


3o34i 


30363 


3o384 


3o4,'6 


3o4i8 


3o449 


3o47i 


30493 


3o5[4 


a-) I'M 




3o535 


3o557 


30578 


3o5oo 


3<«3I 


3o643 


30664 


3o685 


30707 


3072S 


_±1 


~ 


303 


3o75o 


30771 


30793 


3o8i4 


3o835 


3o856 


30878 


30899 




30^1 






3 


ao4 


.^??63 


30984 


3.oii6 




3,o48 


3,069 


3'°9' 


3i,ii 


3u33 


3TT54 


3 


5 




.q5 


3n75 


31197 


3i3i8 


TT^ 


17^ 


3,38, 


3,303 


3 1 333 


3:345 


3i366 




306 


3,387 


3 1408 


31439 


3i45o 


3.471 


31493 


3i5i3 


3 [534 


3i555 


3.576 


i 


9 






3159^ 


3i6i8 


!■£ 


3i66o 






31733 


31744 


3 1765 


3I7S5 


e 






loS 


3i8o6 


3 1837 


3,869 


3189^ 


sF'l 


3,93, 


3,953 


3.973 


3.994 




le 11 


'°9 


3101 5 


33o35 


33o5e 


33077 


33098 




33,39 


3316a 


31,8, 


3310I 


I 
9 


18:18 




33438 


33343 
33449 


3^^ 


33384 


1^3^ 


3^3J5" 


"3^346 


33366 


i"in 


32408 


3l|30 




33469 
33675 


33490 






3i553 


33572 


31593 


336.3 






33634 


33654 


33695 


33715 


33736 


32756 


31777 


33797 


3i8.B 


. a^ "" 


XU 


ii3 


33838 


33858 


33879 


33899 


33919 


33940 


33960 


3,^ 


33o^i 


33031 








ai4 


33o4i 


33o63 


33083 


33i6i 


33133 


33i43 


33i63 


33,83 


333o3 


33114 


3 


4 

6 






33344 


33;i6T 


-33^ 


333o4 


35335 


"33345" 


33365 


33385 


334o5 


33435 




116 


33445 


31i65 


33486 


33J116 


33536 


33546 


33566 


33585 


336o6 


336i6 


4 


8 






33646 


33666 


33686 


33706 


33736 


33746 


33766 


33786 


338o6 


33836 


5 






118 


33846 


33866 


33885 


339u5 


33925 


33945 


33965 


33985 


34oo5 


34035 


6 


|3 




^i9_ 


34o44 


34o64 


34084 


34I04 


34i24 


34i43 


34i63 


34i83 


34303 


34333 


I 


i5 
'7 
J2. 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 



,, Google 



ft»r^l TABLE XXVI. 






Logurithma of Numbers. 








4716. 












^io^ 





1 


8 


3 


4 


5 


6 


7 


8 


V, 9 






"3^4^ 


34363 


"34^ 


343o, 


3433. 


3434. 


l436r 


3438^ 


34400 


3i430 


20 




3443? 
34635 


34459 


34479 


3449B 


345.8 


34537 


34557 


34577 


,34596 


34616 








34655 


34674 




347.3 


34733 


34753 


34773 


34793 
34986 


348,1 




4 


133 


34830 


34850 


34869 




34908 


34938 


34947 


349&7 


35oo5 


3 


6 


sM 


35035 


35o44 


35o64 


35o83 


35io3 


35i33 


35?4i 


35i6o 


35iBo 


35199 


i 


8 


7i5" 


"35ITF 


35S" 


35357 


35;^ 


353C5 
35488 


353.5 


E334 


3?55l 


■3537^ 


353V 




336 


3541 1 


3543o 


35449 


35468 


35507 


J55i6 


35545 


35564 


35563 


6 






356o3 


35633 


3564J 


3566o 


35679 




357.7 


35736 


35755 


35774 




.4 


338 


lis 


358i3 


35833 


35851 


358jo 




35908 


35937 


35946 


35965 


8 


16 


"9 


36oo3 


36031 


36o4o 


36o5ti 


36078 


36097 


361.6 


36T35 


36^54 


2. 


,8 


^35^ 


36173 


36380 


363,1 


36330 

364ifi 


IMT 


36367 


36386 


363o5 


163M 


36347 


19 


33 1 


3636. 


TM 


36436 


36455 


36474 


36493 
36& 


365.. 


36530 






33j 


3673? 


36568 


366o5 


36634 


3^9 


3666, 


36698 
368fi4 


36717 






333 


36754 


36773 


3679' 


368.0 


36847 


36866 


36903 


3 

4 
5 


6 


334 


36933 


36940 


36959 


36977 


369^ 


370.3 


37033 


3705. 


37070 


37^8 


~nr 


37(07 


37135 


37.44 


37163 


37181 


Urn 


37318 


37336 


37354 


37373 


10' 


j36 


3739. 


373.0 


37338 


37346 


37365 


3740. 


37450 


37438 


37457 


6 




337 


37475 


37493 


375.1 


37530 


37548 


37566 


37585 


37603 


37631 


37639 




i3 


338 


37658 


37676 


37694 


377.3 


3773. 


37749 


37767 


37785 


37803 


3783? 


"8 


.5 


339 


37840 


37858 


37876 


37B94 


379. > 


3793. 


37949 


37967 


37985 


38oo3 




17 


340 


3Bo3. 


38o39 


38^ 


38075- 


3B(>93 


38,13 


3Bi3o 




38i6fi 


38i84 


18 


341 


3S103 


38338 


38356 


38374 


38393 


383 10 


38338 


38346 


38364 


343 


38383 


385?l 


384i7 


38435 


38453 


33471 


38480 
38668 


385o7 


38535 


38543 






343 


3S56i 


38596 


386i4 


38633 


3865o 


38686 


38703 


3873. 




4 


344 


i^?. 


38757 


38775 


38793 


368 10 


38838 


38846 


38863 


3888. 


38899 


3 

4 


5 


i4r 


389.7 


38^4- 


38953 


38970 


38^ 


39005 




V4i" 


30058 


39076 




346 


39094 


39..1 


P^lt 


39.46 


39,64 


39,83 


3^;?? 


393., 


39335 


39353 


6 


9 


347 


39370 


39387 


39333 


39340 


30358 


39393 


3p4io 


39438 




348 


39445 


3^463 


39480 




3^15 


39533 


39550 


39568 


39585 


3^603 


1 




349 


39630 


^9637. 


39655 


39673 


39690 


i2Z2I 


39734 


39743 


i9759_ 


39777 


i4 


350 


^ 


398M 


^^ 




39863 


398B, 


-Pi8 


39915 


39933 


1^ 




aSl 


39985 


40003 




40037 


4oo54 


40071 


40088 


40.06 


401 33 


17 


353 


40I40 


4oii57 


40175 


ts 




40336 


40343 


40361 


40378 


40395 
40466 






353 


4<.3i3 


40339 


4o346 


4^ 


40398 


4o4i5 


40433 


4o449 




3 


354 


4o483 


4o5oo 


4o5i8 


4o535 


4o553 


4o569 


4o5&6 


4o6o3 


4q630 


4o637 


3 
4 


5 


^ST 


4o654 


4067. 


40688 


40705 


40733 


40739 


40756 


40773 


s 






356 
357 


40834 


4084. 
41010 


4o85e 

4.037 


40675 
4,044 


a 


tSi 


40956 
41095 
41363 


40943 
4.111 


^ 


5 
6 


9 


358 


4U79 


S 


4.313 


41339 


4.346 


4.380 


ts 


4i3.3 






_35^ 


4i33o 


4i34? 


4.380 


4.39? 


4.4.4 


4.430 


4.447 




8 
9_ 


i4 


360 


i't^ 


4i5i4 


TTssT 


4.547 


4i564 


775er 


B 


di6i4 


1S37 


4,647 


i5 


361 


4.68. 


4i863 


41714 


41731 


41747 


4.780 


& 


4i8i4 


16 


363 


4ie3o 


4.B47 


41880 


43063 


4.9.3 




4.946 


41979 




363 


a 


430.3 


43039 
43193 


43045 


43078 


43^9 


43... 


43.37 


43144 






364 


43177 


43310 


43336 


43343 


43375 


43393^ 


433o8 


3 
4 


3 
5 


365 


4.3.5 


"4i34r 


43357 


7^^ 


43390 
43553 


43406 




43439 


43455 


43473 


366 




43504 


4353! 


43537 


43570 


43586 


43603 


436.9 


43635 




367 


4.65 [ 


43667 


43684 




43716 


43733 


42749 


43765 


43781 


43797 






368 


4181 3 


4383o 


43846 


43863 


43878 


43894 

43o56 


4391T 


43937 


43943 


439B9 






j69_ 


4.975 


43991 


43008 


43o34 


43..40 


43073 


43o88 


43io4 


43130 


8 
9 


.3 




43T36 


73757 


43169 


43i85 


43301 


433 J 7 


43333 


43349 


43365 


43381 


■4 


371 


SS 


433 1 3 


43339 


43345 


43361 


43377 


43393 
43553 


43409 


43435 


4344. 




173 


43473 


43489 
43648 


435o5 


43511 


43537 


43569 


43584 


43600 


15 


373 


436i6 


43633 


43664 


43680 




437.3 


43737 


43743 


43759 






374 


43775 


4379. 


43B07 


438)3 


43S38 


43870 


43886 


43903 


439.7 


3 




375 


43933 


43949 


43965 


4398. 


f^^4 


44013 


44ojB 


44044 


44059 


44075 




376 


44091 


44107 


44133 


44i38 


44170 


44i85 


44301 


44317 


44333 


4 




177 






^'M 


SS? 


443.1 


44336 


44343 


44358 


44373 


44380 
44545 


5 




378 


44404 


44430 


44467 


44483 


as 


445 14 


44539 
44685 


6 




_379_ 


4456o 


44576 


44593 


44607 


44633 


44638 


44669 


44700 


I 


II 


No. 





1 


3 


3 


4 


5 


6 


7 


8 


9 


u 



, V, Google 



TABLE XXVI. £P«i-ra 






I/)gwUhm9 of Numbers. 








3148. 












No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




1,66 


447>6 


44731 


44747 


44763 


4477B 


44793 


Ss 


44824 


44840 


44855 


16 


381 


44871 


44BB6 


44903 


44917 


4493J 


44948 


4l!I! 


44994 


45oio 






18a 


45oi5 


45o4o 


45o56 


4567. 


45oS6 


45io3 


45,17 


45 146 


45.63 




3 


383 


45l79 


45194 


45309 


45335 


45340 


45255 


4527, 


45386 


45301 


453,7 


3 


5 


>84 


45333 


45347 


45363 


45378 


45393 


45408 


45433 


45439 


45454 


45469 


4 
5 


6 


*I85" 


45484 


45500 


455-15 


45530 


45545 


455er 


45576 


4559, 


45606 


4562 1 


8 


186 


45637 


45653 


45667 


45683 


45697 


457 > = 


45738 


45743 


45758 


45773 


6 




187 


4578a 


458o3 


458,8 


45834 


45849 


45h64 


45879 


45894 


45909 


45934 










45954 


45969 


45984 


46000 


4601 5 


46o3o 


46045 


46060 


46075 


8 


i3 


189 


46090 


46io5 


46T35 


46i35 


46i5o 


46i65 


46, 80 


46i95. 


46310 


46325 


i- 


14 






46355 


46370 


46285 


4630O 


463,5 


4633o 


46345 


46359 


46374 




»9i 


46389 
46538 


464o4 


46419 
46566 


46434 


4644? 
45596 


46464 


46479 


46494 


465o9 


46533 




191 


46553 


46583 


4661 3 


46637- 


46643 


46657 




15 


393 


46687 


46703 


46716 


4673, 


46746 


46761 


46776 


46790 
46938 


468o5 


46830 




394 


46835 


46B50 


46864 


46879 


46894 


46909 


46933 


46953 


46967 


3 




395 


^ 


46997 


47013 


47026 


47041 


47056 


47070 


470B5 


47,00 


47. 14 


5 


3^ 


47376 


47T44 


47" 5o 


47 "73 


47188 




47317 


47333 


47346 


47361 




6 


397 


ts 


4730S 


47310 


47334 


47349 


47363 


47378 


47538 


47407 


5 


8 


396 


47433 


47451 


4746? 


47480 


47494 


47509 


47534 


47553 


6 


9 


399 

3oo 


47567 


47583 


47596 


47611 
47756 


47635 


47640 


47654 


47669 


47683 


47698 


7 
8 


Itt^ 




47741 


47770 


477B4 


'^ 


478,3 


47838 


47843 




3oi 


47S57 


47871 


478B5 


47900 


479'4 


47939 


il'>^ 


47973 


47986 




i4 


3oa 


48001 


48015 


48039 


48044 


4eo58 


48073 


48087 


48.01 


48116 


48i3o 




3o3 


48144 


48159 


48173 


48.87 


48303 


48316 


48230 


48344 


48359 


48373 




3o4 


48387 


48303 


483 16 


4833o 


48344 


48359 


48373 


48387 


48401 


484 16 


14 


3o5 


4S43o 


48444 


48458 


48473 


46487 


485o. 


485 1 5 


48530 


m 


48558 


3o6 


48573 


48586 


48601 


486i5 


48639 


48643 


48657 


48671 


^^If 






3o7 


48714 


487=8 


48-43 


48756 


48770 


48785 


48799 


488.3 


'^11 


4884 1 




3 


3o8 


48855 


48869 


48883 


48897 
49o38 


489,, 


48926 


48940 


48954 


IMt 


489^3 


3 


4 


309 


48996 


49010 


49034 


4^52 


49<iC6 




49094 


4«o8 


49,33 


4 
5 
6 


6 


3io 


-^ 


491 5o 


49164 


49178 


t3t 


49306 


1^ 


49234 


49«» 


49363 


I 


3r. 


49176 


49390 


49304 


4^3.8 


49346 


4y3r« 


i^l'i 


49388 


49403 




3ij 

3i3 


4^15 
49554 


gsi 


49443 
49583 


49457 
49596 
49734 


4?6.o 


49455 
49634 


m 


495,3, 
49651 


lp6? 


49541 
49679 


I 


i3 


3i4 


49O93 


49707 


iki 


49746 


49762 


49776 


49790 
499^7 




498.7 


3. 


3.5 


4^837 


49845 




49872 


49886 


499^ 


499T4 


4994. 


49955 




3i6 
317 


i^ 


49983 


5^ 


56010 
5oi47 


5oDa4 
5oi6i 


56i37 
50174 


5oo5i 
5oi88 


5oo65 

50303 


Si! 


50339 

5o365 


13 


3i8 


50343 


5oi56 


50270 


5o2B4 


50397 
50433 


5o3i] 


5o335 


5o338 


5o353 




3i9 


5o379 


50393 
5o5a9 


5fi4o6 


_5o42o 


50447 


5o46i 


5o474 


5o488 


5o5oi 


I 


J 


"SSTS" 


5o542 


5o556 


50569 
50705 


5o583 


50596 
5o733 


5oe,o 


5o633 


5o637 


4 

5 


3ii 


5o65[ 


5o664 


50678 


50691 


507.8 


5o745 


S2 


50773 


4 

5 


3a9 


50786 


l^i 


5o8i3 


50836 


5o84o 


5o853 


5o666 


50880 


50907 




313 


50920 


50947 


5096. 


50974 


509S7 


5iooi 


5.0.4 


5 1038 


5.04. 
5. ,75 


6 


I 


334 


51^55 


5.068 


5>o8i 


5.095 


5iJo8 


5iiai 


5ii35 


5i.48 








3^5 


sTTsT 




5i3i5 


5,228 


5l343 


5.355 


TT^ 


5.383 


51295 


Si3o8 




3^6 


5i3aa 


5i335 


5.348 


5.363 


5i375 


5,388 


5ii4o3 


5,4.5 


5.438 


5.44, 






3a7 


5 1455 


5r46S 




51495 


5,5o6 


5,53. 


5,534 


5,S48 


5,56. 


5.574 




338 


5i587 


5i6or 


5l6,4 


51627 


5i64o 


5,654 


51667 


5.680 


l'P\ 


5,706 




339 


51730 


5 1733 


51746 


5.759 


51773 


5,786 


5,799 




5i8a5 


5,838 
5,710 




TsT 


5^857 


5r865 


51878 


5.891 


51904 


5,9.7 


51930 


I^ 


t'f^l 


13 


33i 


51983 


51996 




530i3 


53^5 


52048 


53061 


53075 


53088 


53 101 






333 


53137 


53m2 


53153 


53166 


53,79 


52,93 


53305 


532,8 


5333l 






333 


52344 


5335? 


5337U 


53284 


53397 


533,0 


53333 


53336 


52349 


53363 


3 


4 


334 


5=375 


533S8 


53401 


534i4 


53437 


53440 


52453 


5a46G 


53479 


5 2493 


4 


5 


-335- 


53504 




53530 


■5;54r 


53556 


53569 


53583 


52595 


53608 


5363 r 


5 


6 


336 


53634 


5=647 


53660 


53673 


53686 


53699 


527.1 


52724 


53737 


53750 


6 


I 


337 


53763 


52776 


53769 


53803 


53fli5 


52837 


53840 


52853 


53866 


53879 




338 


53893 


53i;5 


5,91? 


53930 


51943 


53956 


53969 


53983 


53994 


^^^ 


8 




339 


53030 


53S33 


53^,46 


53o58 


53071 


53o84 


53097 


53,10 


53l32 


53i35 


2iii 


No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 







, ,y Go ogle 



tf"*} TABLE XXVI. 

Ijogantbraa of Numbers. 




No. 3400 4000. Log. 53148 60S0G. 




No. 





1 


2 


3 


4 


5 


6 


7 


.8 1 9 




34o 
34. 

343 
343 
344 


53.48 
53J75 
534o3 
535J9 
53656 


53i6t 

53a88 
53415 
5354= 
53668 


533oi 
534=8 
53555 
53681 


533.4 
5344. 
53567 
53694 


533^6 
53453 
53580 
53706 


53339 
53466 
53593 
537.9 


5335= 
53479 
536o5 
5373= 


53=37 
53364 
5349. 
536.6 
53744 


53377 

535o4 
5363. 
53757 


53163 
53390 

53643 
53769 


3 3 


345 

IS 

343 
349 


5378. 
53906 
54o33 
54i58 
54i83 


54045 

54L70 
54195 


53933 
54o58 
54(83 
54307 


53945 
54070 
54195 
543=0 


5383) 
53958 
54683 
54=08 
5433= 


53845 
53970 
54095 
54=io 
54345 


53857 
539S3 
54108 
54=33 
54357 


54345 

54370 


54008 
54.33 
54=58 
54381 


53895 

54.45 
54170 
54394 


9 1= 


35i 
35i 
353 
354 


S4407 
5453 i 
54654 
54777 
54900 


54419 
54543 
54667 
5479° 
549i3 


5443. 
54555 
54679 
548^1 
549=5 


54444 
54568 
54691 
54854 
54937 


544M1 
54580 
54704 
548=7 
54949 


l>4% 
54839 
5496a 


M48. 
546o5 
547=8 
5485. 
54974 


544,4 
546i7 

54986 


54506 
54630 
54753 
54S76 
54.»S 


f^ 




356 
359 


55 1 45 
55=67 
55388 
55509 


55i57 
55=79 
55400 
55511 


5io47 
55169 
55=91 
554i3 
55534 


55060 
55.81 
553o3 
554i5 
55546 


55071 
55194 

55437 
55558 


55084 
55=06 
553i8 
55449 
5557S 


55oc6 
55= 18 
55340 
5546. 
5558= 


55ioe 
55i3o 
5535= 
55473 
55594 


55i3. 
55=43 
55364 
55485 
55606 


55=55 
55376 


i« 


36i 
3&> 
363 

364 


55530 

1 


55763 
55863 
56oo3 
66,.= 


55654 
55775 
55895 
56o^ 
56.34 


55666 
55787 
55907 
560=7 
56i46 


55678 
55799 

56i53 


55931 

56o5o 
56, 70 


55703 
558=3 
55943 
56061 
56i8i 


55715 
55835 
55955 
56074 
56.94 


557=7 
55847 
55967 
56686 
56=o5 


55739 

55659 

'^ 

56317 


3 4 

4 5 

5 6 

; I 


365 
366 

367 
368 
36, 


56^9 
5634S 
56467 
56585 
56703 


56i4i 
■^360 
55478 
56597 
56714 


56=53 
56371 
56490 
566oe 
567=6 


56565 
56384 
565o= 
56650 
56738 


565^4 
5663= 
56750 


561B9 
56407 
565i6 
56644 
56761 


563o. 
564.9 
56538 
56656 
56773 


563,1 
5643. 
56549 
56667 
56785 


563=4 
56443 
56561 


56336 
56455 
56573 
5669. 
568oB 


iiif 


371 
37a 
373 
374 


568ao 

57171 
57=87 


57066 
57183 
57=99 


56844 
56961 
5707B 
57194 
573Ta 


56855 
573ii 


56984 
57,01 


571.3 
57119 
57345 


570S8 
571=4 
57=41 
57357 


5690= 
570.9 
57.36 
57=53 
57358 


S2;f 

5-380 

Hit. 

57716 
57841 
57955 


57043 
5737? 

5^33 
57738 




375 
376 

p 

379 


57403 

57519 
57533 
57749 
57864 


574.5 
57530 
57646 
57761 
57B75 


574=6 

5754j 
57657 

57771 
57887 


57438 
57553 
57669 
57784 
57898 


576S0 
57795 
57910 


5746. 
57576 
57691 
57807 
579'. 


57703 
57818 
57933 


57484 
57600 
577.5 

57830 

57944 


3 3 

4 4 


38o 
3Bi 
3Bi 
383 
384 
385" 
386 
387 
3S8 
3&9 


57978 
58S9. 
58=o6 
5B330 
58433 


57990 

58= rB 
5833 r 
58444 


58oo, 
58.15 
58i=9 
5B343 
58456 


580,3 
58117 
58i4o 
58354 
58467 


58o=4 
58i3e 
58251 
58365 
58478 


58o35 

58=63 
58377 
58490 


58o47 
58i6i 
58=74 

585oi 


58o58 
5817J 
58166 

St 


5H070 
58,34 
58=97 
56410 
585=4 


58195 
58309 
584ii 
58535 


7 I 

8 9 

9 10 


58546 
58650 
5877' 
58883 
58995 


58670 
5878= 
58894 
59006 


58569 
58681 
58794 
58906. 
59017 


5858o 
58691 
583o5 
58917 
59028 


5859, 
587-14 

58918 
59040 


586o2 
587,5 
588=7 
58939 
5905, 


586,4 
587=6 
58838 
58950 
5qo6= 


58737 
5885o 
5896, 
59073 


58636 
58749 
5886! 
58973 
590S4 


58647 

5Bg84 
5,0,5 




3I 
^ 


59106 
59318 
593=9 


5^50 


D9.=9 
59140 
59351 
56461 
5^571 


59,40 
5915, 

5^47= 
59583 


59,51 
S5=6= 
59373 
50483 
55594 


59,61 
59=73 
59384 
59494 
59605 


59.73 
59=84 
59395 
39^06 
596,6 


59,84 
59=95 
59406 
5^,7 
5^17 


59,95 
59306 

59638 




10 


3^5 
397 
398 
399 


59600 

6oi)97 


59(17. 

597S0 

59890 


5968= 
59791 
59901 
600.0 
60119 


59693 
5980= 

6^=1 
io,3o 


59704 
5^13 
5^13 
6oo35 
6oi4t 


597.5 
5^=4 
59934 
60043 
6oi5i 


59835 
59945 
6oo54 
60.63 


59737 
59840 
59956 

60,73 


59748 
59857 
59966 
60076 
60, 84 


59977 

66686 
60195 


4 4 

5 5 
S 6 

11 


No. 





1 


3 


3 


4 


5 


6 


7 


6 


9 



,y Google 



TABLE XXVI. [»Mii» 
Logarithms of Numbere. 




No. 4000 4600. hog. 60206 66276. 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




4oo 
4oi 
4oi 

403 
4o4 


6o3[4 
6o4s3 
6053 [ 
6o638 


6021T 
60325 
60433 
6054. 
60649 


60136 
6o336 
60444 
6o55s 


60347 
60455 
6o563 
60670 


60149 

6o358 
60466 
60574 
60681 


60369 
60477 
6u584 
60691 


6o37S 

6059! 
60703 


6o3u> 

60498 
60606 
60713 


60193 
604S, 
6o5o9 
60617 
60714 


60412 
6o5io 
60627 
60735 


; 
4 
s 

6 

I 
9 


U 

i 


409 


60746 
6o853 

6..,. 


60756 
6o863 
60970 

6ii83 


60767 
60874 
609S1 
61087 
6,194 


6077H 
60685 
60991 
61098 
6i3o4 


60788 


O.oi3 
6... 9 

6122! 


60810 

6,i3o 
6,336 


608,1 
609,7 
6.034 
6ii4o 
61247 


6o83i 
60938 
61045 
61,5, 
6, 157 


6084, 

^? 
6, ,61 
61268 


6 

i 

9 

10 


4io 
4ii 
4ii 
4i3 

4i4 


13 

6j49o 

6.595 
61700 


6, 560 
61606 
6,7.. 


ei3oo 

6i4o5 

ei5ii 
61616 


6i4i6 
61 5,1 
61627 
6.731 


6.426 

6i53i 
6.637 
6174, 


61437 
6.542 
6,648 
6,752 


6.448 
e.553 
6,658 
6,763 


6i352 
6i456 
6,563 
6.669 
61773 


6,363 
6,469 
6,574 
6,679 
6178^ 


6,374 
6U<>4 




4t5 
4i6 

417 

4i8 
4.9 


6i6o5 
61909 
61014 
62118 
621,1 


6i8i5 
61920 
62024 
62,26 

62232 


61826 

61930 
63034 
62138 
62,42 


6i836 
61941 
62045 
62149 
61152 


61 847 
6 195) 
6jo55 

6„6l 


6,857 
6.96, 
62066 
62,70 
62,73 


61866 
61972 
61076 
6,. 80 
6,,84 


61878 

61086 
61190 

6,2^ 


6,888 
6,993 
61097 
62201 
6,3o4 


62107 

6i3,5 




431 
423 

423 
4M 


62325 
62428 
fi253i 
62634 
62737 


62335 
63439 
62S42 
62644 
62747 


62449 
6155, 
6i655 
6.757 


6,356 
6,459 
6,561 
62665 
61767 


6i366 
63469 
6,5,5 
6,675 
6277B 


62J77 
61480 
6i583 
6,685 
6,788 


63387 

62696 
6,798 


62397 

62500 
62603 

63608 


6,406 
625,1 

6i6i3 
617,6 
618,8 


6i4i8 
6,521 

628,9 




425 
426 

43i 

432 

433 
434 

-43r 

436 
437 
438 
439 


62839 
6294; 
63o43 
63i44 
63246 
63347 
63448 
63548 
63649 
63749 
63S49 


62849 

6295; 

63o53 
63i55 
63256 
63357 
63458 
63558 
63659 
63759 


6,859 
62961 
63o63 
63i65 
63366 


6=870 
6,972 
63073 
63175 
63176 


62880 
6198a 
63o83 
63,85 
63286 


62890 
6299, 
63^94 
63195 
63296 


63001 
63 104 
63io5 
633o6 


63^12 
63, T4 
632,5 
63317 


6,921 
6362, 
63,,4 
63ii5 
63317 


63633 
63i34 
63,36 
63337 
63438 
63538 

1%' 


3 
4 
5 
6 

8 
9 




63568 
6366o 
63769 


63377 

63579 
636,5 
6377V 


63488 
63589 
63680 
63789 


63397 
63498 

f^ 
63699 

63799 


63407 
635o6 
63609 

as 


63417 
635,6 
636,9 


635i8 
63629 

SJ2 


8 
9 


63859 

If 

64356 


63g6o 
64^ 
64.67 
64366 


bJ»„ 


64088 
64.87 
64266 


64.97 
64396 


IS 

64,08 
64207 

643o6 


64ii8 
643,7 
643,6 


64128 
64117 
643i6 


64137 
64i37 
64335 




44o 
44i 
442 
443 
444 


64345 
64444 
64542 
64540 
64738 


64355 
64454 
64552 
64650 
647-18 


64660 
64758 


64375 
64473 
64572 


64385 
64483 
64581 
6468o 
64777 


64395 
64493 

64787 


644o4 
645o3 
64601 
64699 
64797 


64414 
645 13 
646,1 
64709 
54807 


644,4 
645i3 
646,1 
64719 
64816 


64434 
54539 
6453i 




445 
446 
447 
448 
449 


64636 
64933 

65o3i 
65i28 
65225 


64846 
64943 
65o4o 
65 137 
65334 


64856 
64953 
65o5o 
65.47 
65344 


64953 
65o6o 
65i57 
65,54 


64875 

64972 

65o7o 
65i67 
65i63 


64885 
649S2 
65079 
65.76 
65173 


64895 
649Q2 

65-183 


64904 
65002 

1^ 

65,9, 


64914 
65o,i 
65,o8 
65,oS 
65301 


64914 

6501I 
65ii8 
65i,5 
653,1 




45o 
45i 
452 
453 
454 


654 16 
655 14 
656io 
65700 


65331 
55427 
65523 
65619 
65715 


65437 
65533 
65629 
65725 


65350 


65456 
6555, 
65648 
65744 


65369 
65466 
65562 
65658 
65753 


65370 
65475 
65571 

65763 


65389 
65465 
6558 1 
65677 
65772 


65398 
65495 

65782 


654oS 
e55»4 
656oo 

i56fi6 


I 
9 


3 

4 


455 
456 
457 
458 
459 


65696 
66181 


65811 
65906 

56096 
6615. 


65820 
65916 
656ii 
56,o6 
66,00 


65830 
65925 
66020 
66ii5 
66210 


65839 
65035 
66o3o 
661,4 
66,19 


65649 
65944 
66o39 
66T34 
662,9 


65858 
65954 
66049 
66143 
66i38 


65868 
65953 
66o58 
66,53 
66,47 


65877 
65973 
G6068 

6616, 
66a57 


•5981 
66077 


5 
5 
6 

7 


No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 







..Coogic 



fv »»] TABLE XXVI. 

Logarithms of Numbers. 








No. 





1 


i 


3 


4 


5 


6 


7 


8 


9 




46o 
46i 
46i 

463 
464 


66136 
6637b 
66464 
66558 

6665a 


66385 
66380 
66474 


66463 


66304 
66680 


663i4 
66408 
66503 


66417 
665i. 
66605 
66699 


66437 
66531 
66614 
66706 


66343 
66436 
66530 
66634 
667.7 


66530 
66635 
66737 


66455 
66549 
66643 
66736 


6 

8 
9 




3 


465' 
466 
467 
468 
469 


66933 

67o»5 
67117 


66755 
66848 
66941 

67.37 


66764 
66857 
66950 
67043 
67.36 


66773 
66867 
66960 
67053 
67145 


66876 

6^ 
67.54 


66793 
66885 
66978 


6680. 

670B0 
67.73 


66611 
66904 

67163 


66830 
66oi3 
67606 
67099 
6719. 


66839 
6693? 
670.5 
67.08 
6730. 


5 
6 

7 
8 


470 

473 
474 


673.0 

67394 
67486 
67578 


673.9 
6731I 
67403 
67495 
67587 


67338 
67331 
674.3 


67337 
67330 
67433 
67514 
67605 


b7347 
67339 
6743, 
67533 
67614 


673 56 
67348 
67440 
67533 
67634 


67365 
67357 
67449 
6754T 
67633 


67374 
67367 
67459 
67550 
67643 


67384 
67376 
67468 
67560 
6765. 


67393 
67365 

6?^ 




475 
476 

477 
478 
47Q 


67669 
6776; 
67851 
67943 
68034 


67679 

67953 
68043 


67779 
67870 
6795. 
6Bo5i 


67607 
677S8 
67879 
67970 
68061 


67706 
67777 
67888 
67979 
68070 


677.5 
67806 
67897 
67968 
68079 


67734 
67815 
67906 


67733 
67835 
67916 
68006 
68097 


67834 
67935 

68106 


67843 
67934 

66034 
68ii5 




480 
48. 
483 
483 
484 


68.34 
6Bji5 
6B3o5 
68305 
684§5 


66.33 
68334 
663.4 
6B4o4 
68494 


68,43 
66333 
66333 
684.3 
685o3 


5Bi5i 
68343 
68333 

68433 


68.60 
68351 
68341 
68431 
68530 


6B.69 

es36o 

66350 
68440 
68539 


68369 

66359 
68449 
68538 


68378 

683G8 
68458 
68547 


68377 
68467 
68556 


66396 
66386 
68476 
68565 




485 
486 
487 
488 
489 


58664 

6893. 


68583 
68940 


686?J 
6877. 
68860 
68949 


6S601 
68690 
68760 
68869 
68956 


686.0 

68876 
6S966 


68797 
68866 
68975 


68638 

68895 
68964 


68637 
68736 
668.5 
68904 
68993 


68646 
68735 
68834 
689,3 
69003 


68744 
68833 

^" 
690M 


3 
4 
5 
6 

I 
9 




1 


69030 

69.08 


69038 
69305 


69037 
60136 
693.4 
69303 
69390 


69399 


69055 
69144 
69333 
69330 
69408 


69064 
69.53 
6534. 
6^339 
694.7 


69435 


69083 
69170 
69358 
69346 
69434 


69090 
69^79 

69443 


6^53 


I 


1 


69461 


69644 

6^ 


69478 
69566 
69653 


69487 


|g^ 


69504 


695.3 
69601 
69668 


69533 
69609 

6^7. 


6953, 
6^,8 


69539 
U9637 

69801 
69888 




5di 
5oi 
5o3 
5o4 


70070 


69993 
70^53 


t>99'4 

70088 
70.74 


69933 

70096 
70183 
70369 


699J3 
700.6 
70105 
7019. 
70378 


69940 
70037 
70114 

70300 

70386 


70.33 

70300 

70395 


6995H 


70.40 

70336 
703,3 


"9^5 

70.48 
70334 
7033. 




5o6 
5o7 
5oa 
509 


7o5oi 
70673 


70338 
70434 


70346 
7043 1 
705.8 
70603 
70689 


70355 
70441 
70536 
706.3 
70697 


70364 
7044? 
7o535 
70631 
70706 


70373 
70458 
70544 
70639 
707.4 


7oJa, 
70467 
70553 
7o63B 
70733 


7^7? 
70561 
70646 
70731 


7o3o8 
70464 
70569 
70655 
70740 


70406 
70493 
70578 
70663 
70749 




■5.0 
5ii 

513 

5i3 

5i4 


70843 
70937 
71013 
71096 


7o85; 
70935 
7.030 
71. o5 


70774 
70859 
70944 
71030 
7.1.3 


70783 

70953 
71037 

71133 


70791 
70876 

??^6 
7.i3o 


70800 
70885 
70969 
7io54 
7.. 39 


70608 
70693 
70978 
7io63 
7' .47 


708,7 
70903 
70986 

71.55 


70835 
709.0 
70995 
71079 
71.64 


70834 

??^ 
7.088 
71.73 


a 
3 1 


5,5 
5ifi 

5>9 


71365 
7'5.7 


7 "357 
7.44. 
7.535 


7.366 

7.450 
71533 


71390 
7.374 

7" 458 
7 "543 


7.466 
7i55o 


7" 475 
7.559 


7.3,5 
7.567 


7,340 
7.334 
7.408 
71493 
7.5?5 


7.348 
7.333 
7.4.6 
7l5oo 
7.584 


7.357 
7i34i 
7.435 


5 4 

6 5 
■> 6 
6 6 
9 7 


No. 





1 


'.! 


3 


4 


5 


6 


7 


B 


9 







,C~.ooglc 



TABLE XXVI. fi^>" 
LogarithniB of Numbere. 




No. 5200 — ■ — fittOO. Log. 71600 763«. 




No. 





1 


2 


3 


4 


5 


C 


7 


8 


9 




5ii 
-^ 

5=7 
538 
5>9 


7i6e4 

7,,3i 


7.609 

71693 
71941 


7.6^ 

71784 
71867 
7.950 


71625 
7.709 

71875 

7.958 


716J4 

7.883 
7.966 


71643 
7.735 
7.809 
7.892 
7.975 


7i65o 
71734 
7,817 
7,900 
71,83 


,165, 

71743 

7^9^ 


71667 
7.750 
7.834 

7i9'7 
71999 


7.«75 

719=5 
73008 


3 
4 
5 
6 

8 
9 


3 


751116 

7«63 
7^346 


73034 
73107 
73,89 

7'354 


73033 
711.5 

lit 

73363 


7304. 

73.33 
733t« 

73370 


71W49 

733.4 


72140 

73304 
733B7 


7=066 

7.3.3 

7.3,5 


73074 
72156 

73403 


73083 
73165 
73347 
72319 
73411 


72090 
71,73 
71255 
73337 
73419 


5 
5 
6 

2 


53 1 

533 
534 


7.50, 
73591 
77fr,3 
7.75< 


73436 
73518 

73763 


73444 
73536 
73607 
73689 


73534 
73616 
73697 


72542 
73634 
71705 
73787 


73550 
7363a 
737.3 
73795 


-364o 
73803 


73567 

73648 
73730 
738.1 


73575 
72656 
73738 


71583 
73665 
72746 
73837 




53j 
5'Jf, 

i4o 
54i 
543 
543 
544 


7-835 
75916 

73,5, 


V3843 
72935 
73oo6 
73086 
73167 


73853 
73933 
73"i4 
73094 
73rf5 


72860 
73941 
73o32 
73102 

73i83 


T'M9 
73r)3o 
73111 
73191 


73876 

7'957 
73o38 
73119 
73,99 


73884 
73965 
73o46 
73.37 
73307 


73,35 
733,5 


?3|^ 

73262 
73143 

73333 


72908 
71989 

7333, 




73.3, 
733S 
734f» 
73480 
73560 


73408 
73488 
73568 


73355 
73336 
734.6 
73496 
73576 


73263 
73344 
73414 
73504 
73584 


73353 
73432 
73512 
73V 


73360- 
73440 
73530 
73600 


73388 
73368 
73448 
73518 
73608 


73396 
73376 
73456 
73536 
736,6 


733^,4 
73384 
73464 
73544 
73634 


73393 
73473 
73553 
73633 




b45 
546 
547 
548 
54, 


73640 
73719 

73fl57 


73648 


73656 
73735 
738.5 
73894 


73664 

lif, 


73673 
7375. 
7383o 
73910 
73989 


73679 
,1^3^ 

7i^; 


73687 


73695 
73775 
73854 
73933 
7401 3 


73703 
73783 
738G3 
73941 

74030 


,3e?o 

74365 

74343 
7443. 


3 
4 
5 
6 

9 


1 


5io 
55i 

55i 
553 
554 


74o36 
74i[5 
74r94 
74373 
74351 


74044 
74.73 

74703 

74j8o 
7435, 


74o53 
741 3. 
743.0 
74388 
74367 


74060 

74130 
743.6 
74395 
74374 
74453 
74531 
74609 
74687 
74764 


74066 
74.47 
74335 
743o4 
74383 


74333 

743.3 
74390 


74084 
74163 

7424, 
74330 
74398 


74093 
74i70 
74=49 
74337 
74406 


74357 
74335 
74414 


4 
5 
6 

6 
7 


556 
557 
558 
559 


74439 
74507 
745B5 
74663 
74741 


74,49 


74445 
74533 
7460. 
74679 
74757 


74461 
74539 
74617 
74695 

74773 


74468 
74547 
74634 
74703 
74760 


74476 
74554 
74633 
74710 
74788 


74464 
74563 
7464o 

74718 
74796 


74493 
74570 

74648 
74736 
74So3 


745oo 
74576 
74656 
74733 
748,1 




56[ 
563 
563 
564 


74B10 
74896 
74974 
7S,>5i 
75138 


74837 
749"4 
74981 


74834 

li 

75 143 


74842 
74910 
74997 
750-4 
75.5. 


74850 

;£! 

75083 
75.59 


74858 
74935 
75012 

75?66 


74865 
74943 

75030 

75097 
75174 


74873 

74950 

75038 
75,05 
75183 


74861 
74958 
75o35 
75,, 3 
75,89 


?5o43 
75.30 
75197 




565 
557 
568 
5&) 


75205 

75358 
75435 
755.1 


,57,3 
SI 

75443 
75519 


75330 

75397 
75374 
75450 
75536 


75338 
753o5 
7538, ■ 
75458 
75534 


75336 
753.3 

?546? 
75543 


75343 
75330 
75397 
75473 
75549 


7535, 

753:8 
75404 
7548, 
75557 


754,3 
75488 
75565 


75266 
75343 
75430 
75496 
755?i 


75427 
75504 

75580 




570 
57> 
573 

574 


75587 
75664 
75740 
758 1 5 
7589, 


75595 

75671 

75747 

75833 
75699 


756o3 

7583. 
75906 


7561 
756F,5 
75762 
75838 
75914 


756i8 
75694 
75770 
75846 
75931 


75626 
75703 
75778 
75653 
75929 


75633 
75937 


75641 
757,7 

75944 


75648 
75734 
7580O 
75B76 
75951 


75656 
75732 
7580B 
75884 
75959 


3 
4 

6 

i 


■ 


5,5 
576 
577 
57B 
579 


75967 

76ri8 

76[93 

76368 


^4 

-6375 


76308 
76383 


76140 
763.5 
76390 


1^ 
76073 

76323 
76298 


76005 
7l'>o8o 
76155 
76230 
763o5 


76013 

76238 
763,3 


76030 
76095 
76170 
76345 
76330 


763.8 


76035 
76,10 
76185 
76260 
76335 


6 
6 


No. 


; 1 


2 


3 


4 


5 


6 


7 


8 


9 







1 Google 



Ph.™] table XXVI. 

Logaritlitns of Numbers. 




Ho, SSOO MOO. Log. 76343 




«6ie. 








No. 


1 1 


a 


3 


4 


5 


6 


? 


e 


9 




58o 

58 r 

583 
584 


76343 
76416 

,664, 


^435 
7tOc>0 
76574 
76049 


7635H 
76433 
76507 
76583 
76656 


76J40 
765,5 
76589 
76W4 


76443 

76533 

76597 
76071 


76380 
76455 
^53o 
76604 
76678 


76388 
764C3 
76537 
766,3 
7O686 


76470 
76545 
76619 
7669? 


76477 
76553 
76626 
76701 


76410 

76485 
76559 
76634 
76708 


3 
4 
5 
6 

8 


B 


585 
586 
587 
588 
589 


767.6 

76938 


76.33 

76945 
77"' 9 


76730 
76805 
76870 


767JB 
768,3 
76886 
7696*' 
77"34 


76745 
76819 

77041 


76901 


77o56 


76641 
769,6 


76775 
76849 
76933 
7699T 
77070 


76783 
76856 
76930 
77004 


i 

6 
6 
.7 


1 


7T«5 

773o5 
77379 


77=4" 
773 13 
77386 


77 '73 

77347 
7733" 
77393 


771 "7 
7718, 
77^54 
77337 
77401 


771l5 

77=63 
77335 
77408 


Si 

77343 
7741 5 


77=76 
77349 
77433 


77 .37 
773,0 
77=83 

77357 

7743o 


77144 
77= > 7 

77=9' 
77364 
77437 


77i5i 
77' aS 
77=98 
77371 
77444 




1 

60:. 
6o3 
604 

"&r 
606 

607 
60B 

-& 

61 1 
611 

6i3 
6.4 


7745, 
775=5 
7759? 

7^3 


77459 
7753I 
77605 

7775o 


77466 
77539 
77613 
77685 
77757 


77474 
77546 
77C19 


77481 
77554 
77637 
77699 
77773 


77486 
77561 
77634 
77706 


77495 
77568 
7764, 
77714 
77766 


77576 
7764s 

77793 


775,0 
77583 
,7655 
777=8 
7780, 


77517 




78104 


776" 

78039 
781,1 


77830 
77901 
77974 
7e<i46 
78,18 


77837 

78053 
78,35 


77844 
77916 
77> 
7B061 
7G.33 


7785 1 
779^4 

78e4o 


77869 

78075 
78,47 


77866 
77938 
76010 
78083 
78154 
78336 

SS 

-844o 
785IJ 


77873 
77945 
78017 
78089 

78. eT 


78007 
78,68 




7B^6 
78347 
783,9 
78390 
78463 

78604 
78675 
78746 
788,7 


78.83 
78154 
78336 
78398 
78469 
^54^ 
786, r 
78683 
78753 
7881,4 


78^ 
78333 
784..5 
78*;6 


78340 
7W11 

78483 


7B3..4 
78=16 
78347 
784,9 
76490 


783 M 
78383 
78355 
78436 
78497 


783,9 

78433 
785o4 


78333 

783o5 
783t6 
78447 
785,9 


78383 
78455 
78536 


3 
4 
5 
6 

8 

2 


T 


78547 
78618 
78669 
78760 
7883, 


78554 

Si 

78638 


7856, 
78633 
78704 
78774 
78845 


78569 
7864,. 
78711 

78S53 


78576 
78647 
78718 
78769 


78583 
78654 
78735 


78590 

78733 
78803 
78873 


78597 
78668 
78739 


4 
4 
5 
6 
6 


617 
618 
619 


78888 
78958 
79..19 

79169 


78965 
79"36 
79106 
7'ir76 


78903 
78973 
79043 
79" 3 
79183 


78909 
78979 
79050 
79130 
79,90 


789,6 
78986 
79057 
79,37 
79197 


78993 
79064 
79,34 

79304 


7900 
79"7' 
79,4. 
793 1 1 


78937 
79"07 
79078 
79148 
79"S 


78944 
79014 
79085 
79155 
79==5 


78951 
79011 

7909J 
79' 6= 
7933a 




610 

6a 1 

6i3 

6a4 


791J9 
793.>9 
79379 
7944g 
795ifi 


79'4b 
793.6 
79386 
79456 
79535 




79160 
79330 
79400 
79^70 
79539 


79367 
79337 
79407 
79477 
79546 


79=74 
79344 
79414 
79484 
79553 


79' 8 1 
7935, 
79431 
7949' 
79560 


79'88 
79358 
7^4=8 
79498 
79567 


79795 
'9^S5 
79435 
795o5 
79574 


793o3 
79373 
7944= 
79511 
7958: 




616 

617 
618 

63i 
631 

633 
M4 


75*588 
79657 
79737 


79734 
79803 
-987= 


7967. 
7974 [ 
798.n 
79879 


7967B 

79886 


79616 
796H5 
79754 
75b34 

7^3 


79(>=J 

7?»3. 
799^ 


796J0 
79906 


79637 
79706 
79775 
79844 
799' 3 


79644 
79713 
7^81 
7^5, 


7965o 
797=0 

799=7 




8<ioo3 

80140 
8oao9 


80079 
80,47 
80316 


IS', 

80085 
80,54 
80333 


80339 


'A 
80336 


811106 
80,75 
80343 


79975 
80044 
80, ,3 

8o35o 


79961 

80,50 
80,88 
80357 


S2SI 

80137 
80195 
8o364 


8oi34 
80171 


t 

3 

4 
5 
6 

I 


r 


636 
6J9 


60177 
8o346 
804,4 
80483 
8..550 


S0384 

8o353 

ao43i 

80489 
60557 


8c43^ 
60496 
8o564 


60434 
6o5o3 
B0570 


Bo3o5 
80373 
8o44, 
8o5o9 
80577 


3o448 
8o5i6 
8o584 


8u3i8 
8o3S7 
80455 
80533 
6059, 


8o335 

6^^ 
8o53o 
80598 


8o333 
80400 
60468 
6o536 
80604 


80339 

^^ 
So543 
80611 


i 

s 


No. 


1 


3 


3 


4 


5 


« 


7 


8 


9 







, ,v Google 































telO. 








No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




-64r 


806.8 


8o6j5 


6o63= 


8o638 


60O45 


ei^i^ 


"8ii65^ 
80716 


8o665 


8'«7J 


80679 


7 


6ii 


80686 


80C93 
80760 


s? 


B.,706 


607.3 


80710 


S0733 


60740 


60747 




641 


80754 


81.774 




B0787 


80794 


8060. 


80808 


8o8t4 






643 


808J1 


608:18 


8o835 


8u84i 


8<;84B 


eo855 


808^ 


80B66 


80875 


80B61 


3 




644 




80895 


8090= 


80909 


60916 
-8^983 


,!0233 

60900 


809=9 
80996 


B0936 
8.<«>3 


60943 


!<34, 
8.0.7 


4 
5 




-eir 


80956 


8<«63 


80969 


809-6 


aio.o 




646 




8i<>3o 


81037 


B.1.43 


8,o5o 


e.o57 


8.064 




81077 


8.084 


6 




647 


a 


Si?S 


6mo4 


8...1 


6. ..7 


S,ii4 


61.3. 


8. .37 


61144 


8.i5i 






648 


81171 




B.184 


81191 


8. .98 


8.=o4 


8111. 


8i3t8 


8 


6 


649 


8i3j4 


8.i3. 


81338 


8.145 




8i=?8 


8.105 


8. =71 


8.178 


8.385 


9 


6 


65o 


b[=9< 
8 1358 


8. =98 


8.3o5 




8,3,6 


8,3i5 


8.33, 


8.338 


6.345 


87357 




65 1 


8,365 


8.371 


8.378 


8.365 


i-x 


8.396 


8i4o5 


8.4.1 


B.4t8 




65:. 


8r435 


8i43. 


8.438 


8.445 


8.451 


8.465 


8.471 


8.478 


8.485 




653 


8.491 


8149S 


8.5o5 




6.5.8 


B,5i5 


8.53i 


8.538 


8-544 


8.55i 




654 


8.558 


B,5ii4 


6.57, 


el 578 


8,584 


8159. 


e.598 


8i6<.4 


8.6., 


8,6.7 




"esT 


8(624 


6.03. 


8.637 


8.644 


6,65. 


81 657 


8.664 


"876^" 


876^ 


BiesT 




656 


8.690 


£33 


8,704 






81713 


8.730 


81737 


8.743 


8.750 




657 


8,770 


8I776 


6,783 


8.700 
B.8S6 


1:^ 


8,8o3 


8.8.-) 
6.675 


8.8.6 




658 




8,819 


8.836 


B.841 


8.840 
«'9'5 


l^_ 


8,881 




65, 


81689 


M?l 


8.902 


8.5^8 


?19il 


_8^ 


8.94. 


8^ 




"66r 


¥r^ 


8,96. 


aT^ 


81974 


6,98, 


8,987 


8.994 






Bio,4 




66i 


Bj<>io 




8X.33 


B1040 


63<'40 


8i.i53 


81X 


8=066 




B1U79 
8J.45 




663 


81066 


81095 


8=099 


8=io5 


631.= 


83. .9 


81115 


81 .3= 


Si. 36 




663 


Bjt5i 


81, d8 


83764 


8117. 


81176 


H3.B4 


8ii?6 


IV.U 


83=04 


81110 




664 


85317 


8i3i3 


8i33o 


8=136 


8==43 


8==49 


61=69 


81176 




"eST 




81=89 


81=95 


8=3o5 


6=3. Ji 


8=3,5 


8i3=. 


6=3=8 


8i334 


6i34i 




666 


8j347 


6i354 


83360 


81367 


B3373 


8=36.. 


81387 


833a3 
63458 


8=4oo 


8i4o6 




667 


8=4.3 


8=4.9 


8=4=6 


8=43i 


8=439 


8=445 


8=45i 


8=465 


8147. 




668 


81476 


a:'484 


81491 
8=55fi 


8=497 


e=5o4 


Bi5,o 


8i5i7 


6=5=3 


8i53o 


8i536 




669 


81543 


81549 


8=56= 


8=569 


8i575 


8=58= 


81588 


8i5v5 


83601 






8)607 


816.4 


8=0io 


8=6=7 


6i633 


8=64o 


81646 


81653 


81659 


8=666 




67. 


8=673 


82679 


8=6£5 


83691 
6=756 


K 


81705 


817.1 


8=718 


817=4 


e=73o 




671 


81737 


8374S 




B1769 


81776 


8=76= 


81780 


83795 
81660 




673 


81801 


8181.B 


8=8,4 


63B11 


61817 


8=634 


8=B4o 


B1847 


6=853 




674 
-6^ 


8j8fi6 
'8193.. 


8=87= 
8 J 937 


6=679 
t.->943 


S^RES 


fc=69i 


81698 




«'9" 


6,-9^ 


8=9=4 




67^,- 


8=956 


6=963 


83^3? 


81975 


8=981 


■5;^ 




676 


iB 


63.K., 


S3I...8 


t3.>,4 


83.J3., 


63..=7 


83o4n 


83„46 


83o5i 




677 


&3.i<i5 


63,.7:' 


&^..t8 


83. .65 


83.ffli 


83097 


63.. ,4 


83,, 


83.17 




678 


83,19 


83,30 


63,4= 


63,40 


83.55 


83,6. 


83,68 


83,74 


83,8. 




679 


83 187 


63.93 


63:,-„ 


631..6 


633. J 


83=.9 


83== 5 


8333= 


83=38 


83i45 




680 


63=5. 


83=57 


83=(i4 


63=-^ 


H317O 


83)83 


8J180 
83353 


63=96 
63359 


B33oi 


833o8 




68. 


833.5 


833=. 


83337 


63334 


B334<i 


83347 


83366 


B3373 




68:. 


63378 


63365 


8330, 


63398 


834n4 


834 10 


834.7 


834i5 


834=^ 


83436 




683 


8344= 


83448 


83455 


8340. 


83467 


83474 


8348o 


63487 


835?6 


SS! 




684 


835.* 


835.3 


835,8 


635=5 


8353, 


83537 


83544 


6355o 




"685- 


835t;9 


83575 


B3563 


13568 


B3594 
83658 


^30^7 


B3t07 


836,3 


836j;r 


83616 


6 


(386 


6363= 


83639 


83645 


8365. 


83664 


83670 


83677 


63683 


63689 
63753 




687 


83606 
637S9 
838;= 


83701 


837o6 


637.5 


8373. 


83-'i7 


83-.34 


8374-1 


83746 






ees 


83705 


8377T 


83778 


83784 


63-c„ 


lis. 


838o3 


838.10 


838,6 


3 




689 


638=8 


83835 


6384. 


6384f 


838^3 


63866 


8387J 


83879 


4 
5 




690 


83885 


8389. 
83054 


•s^, 


839. .4" 


83^;;; 


"8^6 


839=3 


83939 


B3935 


"83^ 


3 


69, 


83948 


83967 


63973 


83979 


83o85 


84o55 


K 


B4oo4 


6 


4 


69, 


84m, 


84.., 7 


840=3 


84o=9 


84o3G 


84o4i 


B4o48 


84067 


7 


4 


693 


84073 


84<i8o 


84..86 


8409= 


ffl 


84, o5 


84... 


84.17 


84, i3 


64i3o 


6 


5 


694 


84i36 


84 1 4= 


84.48 


84,35 


84,67 


84.73 


84, 80 


84,86 


84,93 


9 L 


695 


84.98 
84161 


843o5 


841.1 


643,7 


64=)3 


84i3o 


84li6 


84i4i 


84348 


84^ 




696 


64=67 


84=73 


84=80 


84=86 


84193 
84354 


1^^ 


843o5 


6431. 


843.7 




697 


843=3 


84330 


84330 


8434= 


84348 


84367 


84373 


84379 




698 


84386 


8430= 


84308 
8446" 


B4404 


844. 


844.7 


844=3 


84419 


64435 


84441 




699 


84448 


84454 


64466 


84473 


84479 


84485 


8449? 


84497 


845o4 




No. 





1 


2 I 3 


4 i 5 


6 


7 


8 


9 





n,g-,-.TT:G00glc 



fwiW TABLE XXVI. 

Logarithms of Numbers. 




No.roOO 7C00. Log. 84510 ssoei. 




No. 

TOO 
701 

703 
704 





1 


3 


3 


4 


5 


6 ! 7 


e 


9 




845 to 

84S7a 
S4634 

84% 


84578 
84640 

84703 

84763 


8451. 
84584 
84646 
84708 
84770 


84538 
84590 

84651 
84714 
84776 


84535 
84597 
84658 
84710 
8478a 


8454, 
846o3 
84665 
84716 
64788 


84547 
84609 
6467; 
84733 
84794 


84553 
846.5 
84677 
84739 
84800 


84559 
8461! 

84663 
B4745 
84807 


84566 
846i8 
84689 
8475. 
846,3 


e 
9 




7o5 
706 

709 


848ro 
S488u 
849^3 
85^3 
85o65 


84867 
84948 
8S009. 
85071 


8483. 

84893 
84954 
85oi6 

85077 


85633 
85o83 


84844 
84905 
84967 
85^8 
85q89 


84850 
849.1 
84973 
85o34 
85095 


84856 
849 .7 
84979 
65o4o 
85,01 
85je3 

85324 

85385 
85345 
854o6 


649'4 

85o46 
85, 07 
85,69 
85i3o 
85191 
S535i 
65413 


84668 
84930 

SS 

65, ,4 
85,75 
85i36 

854.8 


84874 
64936 

SSS 

85, 20 
65,8. 
85i4i 
853o3 
85364 
854s5 


6 
6 


710 
7" 

v.i 

7'4 


85ia6 
85 187 
85^48 
B5309 
85370 


85 133 

853j5 
B5376 


85331 
85383 


85,44 
85io5 
85356 
85337 
65388 


85i5o 
85311 
65171 
85333 
S5394 


85,56 
85317 
85178 
85339 
854oo 




Vi 

719 


85431 

855?i 

85613 
85673 


85437 

B56iS 
85679 


85443 
855o3 
85564 
856i5 
65685 


85449 
85509 
65575 
8563, 
8569, 


85455 
855.6 
85576 
85637 
85697 


8546, 
85513 
85581 
85543 
857o3 


85467 
85538 
85588 
85649 
857<«) 


85473 
85534 

657,5 


85479 
85546 
856oo 
8566, 
8571. 


85485 
85546 
656o6 
65667 
65737 




7j3 
7^4 


85733 
85794 
65854 
85oi4 
85<)74 


85739 
658oo 
85860 
859^0 
85980 


B5745 
858oe 
65866 
B5916 
85966 


8575, 
858,1 
85873 
85933 


858,8 
8587B 
85938 
85998 


65763 
858i4 
85884 
85944 
8fitffl4 


85769 
85830 
85890 
8595o 
660,0 


85836 
86^,6 


65843 
65901 
85963 
86011 


85648 
85906 
85968 
8602S 




7.5 
7*6 

7=9 


86094 
86x53 
863 [3 
86373 


S6100 
86,59 
863,9 
86379 


86oa6 
S6106 
86,65 
66115 
86i65 


86,71 
8633, 
0639. 


86»58 
86, ,8 
86,77 
86137 
86197 


86064 
S6,i4 
86,63 
66143 
S63f.3 


86070 
86.3o 
86189 


86076 
86,36 
86,95 
Efil55 
863,4 


86u8i 
86,41 
66101 
8626, 
863io 


86088 
66.47 
86107 
86167 
86336 


3 
4 
5 

6 
I 
9 




730 


86333 

86S10 


86338 
86398 
86457 
865,6 
86576 


86344 
864o4 
86463 
86533 
8658, 


8635.. 
864,0 
86469 
865i§ 
65587 


86356 
864j5 
86475 
86534 
86593 


86361 
86411 
S6481 
86540 
865^9 


86368 
86437 
66487 
86546 
865o5 


86374 
86433 
86493 
66553 


66380 
66439 

666.7 


86386 
86445 
865o4, 

86623 


5 


f 
'I 

739 


86864 


86635 

86813 
S6870 


8664, 

86?5^ 
86617 
86876 


86646 
86705 
86764 
B68i3 


86651 
8671. 

868^9 
66888 


86658 
867,7 
86776 
86835 
66894 


£«>64 
86733 
86783 

86900 


86670 
S6739 
86788 
86847 
669<.6 


86676 
86735 
66794 
86853- 
8691, 


66683 
66741 
86800 
66S50 
869^ 




740 
74i 

74» 
743 
744 
"ST 

746 

;s 

749 


86933 
869B3 

87040 


©2 

87ii.5 
87163 


86935 

871 1 1 
67,69 


86.M. 

871,6 
87175 


66947 
87005 
87064 
87,11 
87,8, 


86953 
870,1 
67070 
87,18 
87,86 


87017 
67075 
67,34 
87,93 


869U 
87013 
8708, 
87,40 
87.9S 


B6970 
87.129 

87204 


873,0 




87174 
8733a 
87390 
B744B 


8733, 
87180 
87338 

S3S 


s;s 

87344 
67403 
87460 


87133 
8739. 
87349 
87408 
87466 


B7139 
87197 
67355 
874.3 
8747T 


87145 
87303 
8735, 
874,9 
87477 


8715. 
87309 
8736? 
87415 
87483 


87156 
873,5 
87373 
8743, 
87489 


87163 
87330 
87379 
8743? 
87495 


87316 
87384 
67443 
87500 




75o 
75. 
75i 
753 
754 


87506 
87564 
87631 

SSI? 


H7i"3 
87570 
87618 
87685 
87743 


875,8 
87576 
87633 
87691 
87749 


87513 
6758, 
B7639 


H7519 

87703 
87760 


87535 

87708 
87766 


87541 

PM 

87714 
87773 


87604 
87661 
87710 
87777 


876.0 
8766S 
87716 
87783 


87558 
67616 
87674 


3 

i 

6 

e 




755 


87795 
87853 

^^^9^7 
88^4 


87800 
87858 
87915 
87973 
88o3o 


87806 
87864 
B793. 
87978 

86o36 


878,3 
87869 
87937 
87984 
8864, 


8761b 
87S75 

87933 

88047 


87813 
678a, 
87938 


87819 
87867 
87944 

88o58 


87835 

88007 
88064 


8784. 
88070 


87846 
88076 




No. 





1 


a 


3 


4 


5 


6 


7 


6 


9 







, ,v Google 



TABLE XXVI. li^'" 
Logarithms of Numbers. 




No.76tJ0 8200. Log, d^OSl 01381. 




No. 





1 


3 


3 


4 


5 




8 


g 






88081 
88i3B 
88195 

88309 


B8087 
b8.44 
88201 
88i58 
8B3i5 


BB093 

MSiSn 
88207 
862G4 
88331 


Sii3i3 
BB326 


S8i6. 

BB375 
BS332 


6B11Q 
BB.G- 

iiB2 34 

88338 


88 1 16 
88173 
8833o 
88387 
68343 


66178 
6B335 
88393 

88349 


88,84 
8834. 
88398 
88355 


88190 
88347 

8B3o4 
88360 


3 
4 
5 
6 

8 
9 


i 


766 

s 


88366 
88423 
88480 
88536 
88593 


68371 

BS4H5 
88541 
86598 


BBJ77 
8B434 
88491 
88547 
8S6p4 


88383 
88440 

885?3 
8S610 


66339 
8844(i 
885o3 
83559 


88564 
88621 


Ba.^57 

S; 

88683 
68739 

sss?! 

889.1B 


b84o6 
88463 
885.9 
e8576 
66633 
88689 
68745 
BBBoi 
8B85T 


884.2 
8B46S 
68525 
8658, 
88638 
66694 
88750 
88807 
88863 
889,9 


88474 
8853o 
88587 
88643 
88700 
88756 
888, a 
88868 
86925 


5 


771 
771 

773 

774 


88649 
88705 

88874 


887.1 
88767 
888=4 
888S0 


8866u 
887.7 
88773 

8888? 


8S660 
8H733 
88779 
68H35 
88H91 


68673 
8873H 
88784 

88897 


66(>77 
S8734 
88790 
83846 
8e9.>3 




777 
77B 
779 


88930 
86986 
89043 


■88936 
B8993 
89048 
89104 
89,59 


88941 


86947 
89003 
8905? 

89.70 


66953 
89009 
89064 

Z'i 


68958 
89014 
89070 
89136 
69182 


66964 
89030 

69,87 


89^ 
8?oe, 
89137 
89,93 


689-5 
8933, 
89087 

Si 


88981 
89037 
89092 




780 
781 


893.1 
89376 
89433 


89^,5 
S9371 
89336 
8538. 
89437 


89,3, 
B9J76 
89332 
89387 
89443 


892=6 
89282 
B9337 
B9393 
89446 


69333 

89287 
89343 


89348 
89404 
69459 


89343 

8946? 


89248 
89304 
89360 

89470 


8^10 
89365 

89476 


893.5 
89371 
89436 
8948. 




785 
786 
787 
788 
789 


B94S7 
89543 

89708 


89493 
89548 
896.13 
89658 

85;,3 


»»7.9 


b95o4 
89559 

89669 
89734 


8^30 
89675 
8973a 


695.5 
69570 
89635 
89680 
89735 


69520 
89575 

89(>3j 
89C86 
89741 


895=6 
8953. 
B9636 
8569, 
B9746 
89801 
89856 
89911 
89966 
90030 


89566 
B9642 

89862 
899,6 
8997. 
9<H,36 


89592 
89647 
89703 

^ 

89B67 
89923 
89977 
9003, 




790 
791 

m 


89763 
S9S18 
89873 

90037 

9o?oo 
90355 


89768 
89S33 
89873 
89933 

1^8 
90043 
9(»>97 
901S1 
9(.3u6 


a9774 

90048 

9051 1 
90366 


89779 

69689 
89944 
89998 
90053 
90108 
90162 
90217 
9017. 


89785 
89840 
8^94 
89949 

90rm4 
90. 68 

903 3 3 

90576 


39790 
698^5 

9i««>9 


69796 
89;;: . 

89960 
9."., 5 




796 
799 


9o<*)4 
90119 
90,73 
90237 
90283 


9c^ 
90,34 

^'m 
9023 3 
90287 


90075 
90129 
90,84 
90338 
90293 


90,35 
90.89 
90244 
90398 


90,95 
90349 
go3(,4 




800 
801 
803 

8o3 

8o4 


904.7 
90473 
90536 


903.4 
90369 
90433 
90477 
9053 1 


90J30 

90374 
90438 

90483 
9.>53fi 


91.335 
9(.38o 
90434 
9..488 
9<.54j 


9. .331 
91.395 
90439 


91.336 
9039.. 
9<.445 

•m 

9" ■■'"'"7 

91-^1 
90714 
90768 

**,3 


9.^96 
9045.. 

9..504 
9..558 
906.3 
90666 
90720 
9"773 
90827 


90347 
90401 
90455 

''±-' 
91.671 
90725 

9"779 
90633 


9<.353 

90461 
^05.5 
91^69 
9.623 
90677 
91.730 
90784 
90838 


904.3 
90466 
90550 
9'>574 
00628 
90683 
90736 

tit 




Bo5 
806 

809 


9o5So 
90634 
90637 
9'.74i 
90795 


9o585 
9"747 

90800 


905911 
9.608 


is:. 

90703 

9"757 
9..eii 


9(;655 

9..8i6 


3 

4 

6 

8 
9 




8.0 
811 
811 

8i3 
8.4 


9<'S49 
90903 
9095G 
9|^ 


90H54 
91.907 
90561 

9I0T4 
91068 


9.«5a 


90865 
9..9.8 
90973 
9.025 
91078 


9<*7o 
9..934 
9"977 
9io3o 
9106 <1 


9<.875 
90929 
909S3 
9,o36 
9,089 


9i«6, 
9,^4 
9..988 
9,04. 
9.094 


9..<^o 
90993 
g.o46 


9<*9i 
90945 
90996 
9io5a 
9>.o5 


9.004 
9.057 
91.10 




e.5 

8.6 
8i7 
8>6 
81Q 


9... 6 
9M69 
91333 
91375 
91336 


91 J 38 

91381 

9i334 


91136 
91180 
9i?33 

9I339 


91132 
9r.85 
9.338 
9119. 
9.344 


9.137 
9.350 


9M43 

91.96 
91349 
9i3o3 
91355 


91 1 48 
91 30 1 
91354 
9.307 
Q,36o 


91.53 
91306 
9,259 
9,3,3 
9.365 


9,, 58 
91213 
9i;65 
9i3,8 
9' 37. 


9.. 64 
912.7 

9I3I3 
91376 




No. 





1 


3 


3 


4 


5 


C 


7 


8 


S 





rtt>m TABLE XXVI. 

Logarithms of Numbers. 




No. 8200 8800. Log, 9] 381 M«8. 




No. 





1 


a 


3 


4 


5 


6 j 7 


8 


9 




8.0 
But 
8m 
833 
834 


9.38. 

9.434 
91487 
9.540 
9-593 


91 387 
9.440 

9" 49' 


91603 


9,5o3 
9.609 


9i4o3 
91455 
9.508 
5.56. 
9.6.4 


9i4o8 
9146. 
9.5.4 
91566 
9.6.9 


91413 
91466 
9,5,9 
9,573 
9.634 


9,4.8 
9,47' 
9,534 
9,577 

q,63o 


91414 

9>477 

9.539 

9-581 
91635 


9I535 
91587 
9164Q 


3 
4 
5 
6 


T 


835 
836 
817 
838 
83 9 


9.645 


91703 
91756 
9.808 
9786. 


91656 
9,709 
9176. 
918,4 
91866 


91714 
91766 
9.819 
9.871 


9,666 
9.7.9 
9 '77' 
9.834 
9,876 


9.671 
91714 
9' 777 
9|8'9 


91677 
91730 

l?& 

91887 


9I6H3 
91735 
9.787 
91840 
91891 


91740 
91793 
9.845 
91897 


9,«93 
9.,45 

9,903 




83o 
83i 
833 
833 
834 


9,908 
9.960 
930.3 
91065 
93.17 


91965 
930.8 
93070 
93,33 


93033 
93075 
93.37 


91934 
91976 

91080 
93,33 


9,939 
9.98, 
93o33 
93085 
93,37 


9,934 
91986 
93o38 
9109. 
91.43 


9,939 

93Q96 

91148 


919^4 
91997 
93049 


91950 
91001 
91054 
93,06 
93,58 


9,955 
91007 
91059 
911.1 

93,63 




836 

Si 

639 


9J169 
9ijai 
91373 
91314 
93376 


93174 
93316 
91378 
93330 
93381 


'333? 
93383 
93335 
93387 


93388 
93340 
91393 


93189 
93341 
93393 
93345 
93397 


91.95 

93350 
91403 


91100 
91151 
9i3o4 
93355 
91407 


93357 

91309 

92361 

93411 


91110 
91161 
9331 4 
93366 
934.8 
93469 
9153. 
91573 
91614 
93675 


91115 
93367 
93319 
9337. 
91413 
9'474 
93516 
93578 
91639 
91681 




a4o 

11; 

843 
844 

845 
846 
847 
848 
849 


91438 
^480 
9i53i 
93583 
93634 


934S5 
93536 
93588 
93639 


93593 
93645 


91443 
93495 


93449 
9a5oo 
93553 
93603 
93655 


93454 
935o5 
93557 
91609 
93660 


91459 
935,, 
93,563 
93614 
93665 


93464 
935.6 
93567 
936.9 
91670 




91686 

93840 

9389. 


91691 
91743 
91793 
93845 
93896 


91096 
93747 

lis 

9190. 


91701 
91751 
91804 
91655 
9391* 


93706 
93758 
93809 
91860 
939.1 


917.. 
91763 
938.4 
91865 
919.6 


91768 
918,9 
95870 
9393. 


93733 

93917 


93737 
93778 
93B39 
91B8. 
91933 


91731 
91783 
93834 
93886 


3 
4 

5 
6 

8 


s 


85 1 

853 
853 
854 


93941 
93993 

93o44 
93095 
93.46 


9^947 
93998 
93049 
93.00 


93953 
93'x>3 
93o54 
53.05 
93,55 


93917 
93008 
93059 
93.10 
93.61 


93961 
93oi3 
93064 
93.. 5 
93.66 


91967 
93018 

93.30 


91973 
93014 
93075 
93.35 
93.76 


91978 
93019 
98080 

^3131 
93181 


91983 
93^34 
93o85 
93.36 
93.86 


93039 

9319a 




855 
856 

IS 

859 


93399 


93353 
933o3 
93354 
93404 


93358 
93308 
93359 
93409 


93a 13 
93363 
933 1 3 
93364 
93414 


933.7 
9336B 
93318 


9J333 

93374 
93435 


93117 
93178 
93318 
93379 
93430 


93i3i 
93283 
93334 
93384 
93435 


9333, 






861 
863 

863 
864 


93450 
935<« 
9355. 
93601 
9365. 


93455 
93505 
^556 
936.* 
93656 


^5.o 
9356. 
;36ii 
93661 


93465 
9351 5 
93566 
936.6 
93666 


93571 
9363. 
93671 


9J475 
93516 
93576 
93636 
93676 


93480 
9353. 
9358, 
9363, 
93683 


93485 
93536 
93586 
93636 
93687 


93490 
9354. 

93641 


IS 
IS 

93697 




865 
866 
867 
868 
869 

w 

873 
873 
874 


93703 

93851 
93901 


93707 

93857 
93907 


93763 
13813 
93861 
939,1 


9^717 
93767 
938.7 
93867 
93917 


93733 
93773 
93833 
93873 
93933 


93717 
93777 
93837 
93877 
93917 


9J731 
93783 
93833 
93883 
93933 


93737 
93787 
93837 
93887 
93937 


93743 
93793 
63843 
^3893 
93943 


93747 

B, 

93897 
93947 




939^3 
94001 
94053 


93957 
94007 
94057 
94106 
^4.56 


93963 
94o#3 
94.«3 


93967 
940.7 
94.67 
94116 
94.66 


9J973 
94o3i 
94071 
94.31 
94.71 


93977 
94037 
94077 
94.16 
94176 


93983 
94o33 
94083 
94i3. 
94.8. 


93987 
94037 
94<«6 
94.36 
94.86 


93991 
94041 
9409, 
54r4, 
94191 


93997 
95096 

54146 
94.96 


3 
4 
5 
6 

9 


t 


No. 


94300 
94349 
94399 




94306 
^355 
943o5 
94354 
94404 
1 


943,. 
94360 

9i3io 
94359 
94409 

a 


94316 
94365 
943.5 
94364 
94414 
3 


9413. 
94370 

9433y 

9436, 
94419 


94116 
94175 
94335 
94374 
94434 


9i'3. 
94180 
94330 
9^379 
94419 


94136 
94=85 
94335 
94384 
94433 


94140 


94345 
94395 
S345 
9439i 
54443 


3 
3 
4 


4 


5 


6 


7 


8 


9 







, ,v Google 



TABLE XXTI. I»» "> 
Logarithm or Nunben. 








No. 





1 


a 


3 


4 


5 


6 


7 


8 


9 




sao' 

H8-i 


94448 
94496 


94453 
945o3 
94553 
9460 ] 
■>465o 


9445a 
94507 
94557 
94606 

94655 


94463 
945,3 
94563 
94611 
94660 


94468 
94517 

& 

94665 


94473 
94533 
94571 
94631 
94670 


94478 
94537 
94576 
94636 


94483 
9453. 
54581 
S630 
94680 


94635 
94685 


94s,. 

94640 
94689 


3 

4 

I 




•M5 
666 
687 
6PS 
66, 


94743 
9479s 

5484. 
94890 


& 

94695 


94704 
9485, 

94900 


94807 
94B56 
94905 


947.4 
94763 
94813 
94861 
949.0 


948.7 
94866 
949.5 


947^4 
94773 
94833 
9487. 
949.9 


94934 


94880 
94939 


947J8 

^& 
94685 
94934 


3 

3 
4 
4 
6 


V 
8,, 
891 

1 


95o36 
95oB5 
95,34 


94944 
9^^ 


94949 

95o46 
9509^ 
95143 


94954 

95o5, 
95,00 
95,48 


94959 
950.17 
95o56 
95.05 
95,53 


94563 
95013 
9506, 
95109 
951 56 


94968 
950,7 
95066 

& 


94973 
95033 
95071 

95' 19 

q5,6S 


94978 

95134 
95.73 


94983 
95o33 
95080 
95.39 
95.77 




III" 


95384 
95333 
9538. 


9^,93 
95)4o 
95»P9 


95,97 
95345 
9559'* 
95343 


95350 
95399 
95347 
95395 


93=07 
95355 
953o3 
95353 
95400 


95311 
95360 
95308 
95357 
954<.5 


95316 
95365 
953.3 
9536, 
954 m 


9533, 
95370 
553,8 
95366 
954.5 


95374 
95333 
95371 
954.9 




9D0 

901 

903 


95454 
9547= 

955J. 
9W17 


95439 
95477 
955a5 
95574 
9563 3 


95483 
95530 
95578 
95636 


95487 
95535 
95583 
g563, 


95444 
95495 
95540 
95588 
95635 


95446 
95497 
95545 
95593 
9564- 


95453 
95501 
95550 

& 


95458 
95506 
95554 
956.,3 
95650 


955,, 

95607 
95655 


955.6 
95564 
956u 
95660 




IS 

'9°9 


95665 
957.3 
9576 r 


9567U 
957.8 
95766 
958 1 3 
9566, 


95D74 
95753 
95770 
958,8 
95M6 
959.4 
9596, 
56009 
96057 
96,04 


9^79 
95737 

^587, 


9y>H4 
9573= 
95780 

55875 


956B9 
95737 
957B5 
9583] 
95880 


95789 

?S1 


95698 
95746 
95794 
95843 
95890 


9575. 
95799 
95847 
958,5 


9570B 
95756 
95804 
95653 
95699 




9ro 
911 
913 
9r3 
914 

i:l 

917 
918 


9=999 
96047 

m 

96j84 
9633J 


959^9 
95957 
96004 
96051 
96099 
96147 
96.94 

9^343 

& 


959. 8 
95966 
960,4 
96061 
96,09 


959,3 
95971 

5i7,4 


95938 
95976 
96033 
9607. 
56.18 


56638 
96076 
56T33 


95933 
95^5 
56)!33 
96080 
96,38 


95943 

^^ 
96i«5 
96,33 


95995 
56043 




96i5a 


96, 56 
96J04 
9635, 
96598 

^46 


96,6, 

96303 
96350 


96,66 
963.3 
9636, 
96308 
9^355 


9617. 
96318 
96365 
963i3 
96360 


96,75 
96333 
96370 
563,7 
96365 


96,80 
96337 

1«3«9 


96185 
96333 
56380 
96337 
96374 




930 
931 
92a 
913 

9'4 
-^ 
936 

■^l 

939 

934 

f 

i' 

939 


56567 


96478 


96388 
?5435 
96483 
96530 
^577 


9bi93 
96440 
96487 
96534 
9658, 


5644^ 
96^39 


96403 
96450 
96497 
^44 
qfi5gi 


96407 
96454 
9650, 
96548 
96595 


96413 

06553 
96600 


if 

?6558 
9«<.5 


9W3. 
96468 
965,5 
56563 
96609 




966.4 
96O61 
96708 
96755 
968.13 


96^t3 


96670 
967.7 
96754 
968.. 


966)8 
96675 
96733 


96633 
96680 
96737 
9<>774 
96830 


96638 
96685 
9673. 
96778 
96825 


96643 
96689 
^673^ 


96647 

& 

96788 
96834 


82; 


96656 
96703 
96750 

& 


3 

4 
5 
5 

8 
9 




96648 

SI 

96988 
97n35 


96853 
96900 

96993 
97039 


96997 
97o-f4 


96663 

97003 
97049 


96867 
969,4 
96960 
97007 
97D53 


96873 
969.6 
56^65 
970.1 
970-58 


969I3 
96970 


9688. 
96938 
96974 
9703 1 
97067 


9697? 
97035 
97073 


9*1 

97o3o 


3 
3 
4 


9708. 
97.38 
97'74 

97130 

97367 


97.33 
9717? 
97"5 
9717' 


97090 
97137 
97.83 
97330 
97376 


9-'o95 
97.43 
97188 
97:>34 
97380 


9719' 


97104 
97i5. 

S3 

97390 


s;3 
97.94 


971,4 
97160 
97306 
97353 
97»99 


97118 

97165 
9731. 

97157 
973<^ 


97169 
9,3.6 

973M 

?73o8 




No. 





1 


3 


3 


4 


5 


6 


r 


8 


9 





, ,, Google 



rv*i»t] TABLE XXVI. 




No. WOO 10000. Log. OT313 99D90. 




Nq. 
-^ 
941 

f 

ii 

-!? 
S° 
"f 
961 

If 

1 

97" 
971 

971 
973 

974 
976 

l?i 

979 

1 

f 

1 
.■&. 
990 

99' 

f 

-?» 
No. 




S 


3 


4 


5 


6 


7 


8 9 




97S.. 
97368 
97414 
97460 
,7So6 


97373 

97465 
97511 


97JJ1 
97377 
97414 
97470 
97516 


97336 
97382 
97418 
97474 
97520 


9,J4o 


97345 
97391 
97437 
97483 

97713 
97759 


97350 97354 
97396 97400 

9-" 17 

9 »3 
9 I9 


6 

8 
<> 


S 


97ii. 
»7S9» 
97644 


97740 


9756= 
97607 
97653 


97566 
976,1 
97658 
97704 
97749 


97663 
97708 
97754 


9. 

97616 

97673 

97717 

97763 


,.-.15 
97630 
97676 
97722 
97768 




is 

979IS 


977a6 
9783= 
97877 
979=3 
97^68 


9786= 
97918 
97973 


97795 
978^1 
97886 
9793a 


97800 
97845 
97891 
97937 
97982 


97804 

97850 
97896 
9794' 
97987 


|?85? 
97900 
97946 


978.3 
97859 
979.-5 
97950 
97996 




98055 
98.9. 


98U14 

96,0! 
58,5o 
?5,95 


9S-1.9 
9bu64 

1! 


9B013 
96068 

P,59 
9811-4 


98028 
98073 

98,, 8 
98,64 
96109 


98031 

98123 
98168 
981,4 


9B0J7 
98082 

Eii 


98041 

96131 
98177 
98113 




98^36 
98^81 

^37. 
^417 


98286 
9B33i 
9S376 


98345 

9838, 
98426 


982 So 


96=54 


98159 
983od 
98349 


98363 
981.8 

98354 


98168 
963.3 
98358 
98403 
96448 




98403 


98466 
^u 
96556 
98601 


98471 
98516 
98561 
986.15 


98475 
98520 
98565 
986,0 
98655 


98480 
9S5i5 
9S570 
986,4 


985^ 
9li574 

& 


ii 


98583 
98628 
98673 




oflGSfi 
98731 
9B77G 

^865 


98% 
98780 
98825 
98669 


9874c. 
987B4 
98829 
98874 


987<« 
98744 
98789 
^8834 
98876 


96704 


5i88, 


98847 
9SB91 


98B5. 
96896 




9"9"9 
98954 
98998 
99<.43 
99"87 


989' 4 
98958 
99W.3 
99"47 


989,8 

99""7 
99053 


991W. 


98917 
96971 
99'.i6 
99'>6i 
99105 


99109 


98936 
9898, 

99025 
99069 

99' 14 


9694. 

S«985 
99029 
99074 
99"8 




99'J. 
99.70 
99"0 
99'fi4 
993.« 


991 30 
99181. 
99114 
99^69 
993i3 


99' 40 
99.85 
99229 
99273 
993,7 


9,141 

99277 
99322 


99i4g 


,9,54 
"'f 
^& 

9g33o 


99.58 
99101 
99147 


99.63 

99307 
99-^51 
99295 




99396 
9944 r 
«484 
995=8 


99Ji7 


993b. 
99405 
9944? 


99366 
994,0 
99454 
9949B 
99541 


99370 
994.4 

99456 


99374 
99419 
99403 
995116 
99550 


99379 


99383 
99417 
99471 
W5.5 


3 
4 
5 

6 

8 




996.6 
99660 
997''4 
99747 


99577 

997f 
9975J 


9956, 
99625 
99669 
997, J 
99756 


99585 

^?? 
99717 
997O0 


99677 

99721 

997fi5 


99682 
99726 

.«769 


99686 

9973o 
99774 


99647 
99691 
99734 
99778 


3 


SI?; 
99878 


9988S 
99936 

99970 


99800 
99843 
99887 
999*' 
99974 


998"4 
90648 

99.778 


99B<rf) 
99851 
99806 
999-'9 
W9i3 


998,3 

^56 
99900 
99944 
999B7 


998'7 
9986, 
999"4 
99948 
99991 


99821 
^5 
99909 
99951 
99996 




3 


3 


4 


5 


6 


7 


8 


B 





, ,v Google 



M 

o 


HoiirA.«.. 


Hour 


M. 


Sine. 


Diff.l' 


Cosecanl. 


TangH... 


Diff.l' 


Coianffom 


SiKUH. 


Cosine. 


M 








Inf.Neg. 




Infinlie. 


Inf. Nej. 




iDlinhe. 








1. 5952 




8 


6.463?3 


Joio3 


.3.53637 


6.46373 


3o.o3 


,3.5361, 






u 




5944 




16 


76476 


17609 


23534 


,6476 




23534 






3 


59 36 





14 


94085 


.3494 


05915 


94o85 


.=494 


059,5 






h 


4 
1 
6 


5? 28 




3i 


7.06579 


9691 


.3.93421 


7.06579 


969, 


,3.9343, 






56 
55 
54 


■■1;; 


""T 


40 


7.16370 
24188 


7918 
6694 


.3.83730 


7.. 6,70 
24188 


"s;s 


13.83,30 
,58.1 


'" ooow 


'"■^^ 




UA 




56 


3r.885 


58™ 


%\l 


30863 


58o< 


691,8 
653,8 






53 


e 




4 


36685 


5fi5 


3668! 


5.i5 






52 


J 


5S 46 






^1797 


4576 


58203 


4.797 


4576 


583o3 






5. 
5S 


..58* 






7.463,3 


4.39 


.3.5363, 


T4637I 


41 3^ 


12.53627 








58 3i 




38 


5o5.2 


S3 


49488 
45709 

43235 


5o5i3 


3779 


40488 






''S 




58 j4 




36 


54391 


577^7 


3476 


45709 






48 


[3 


58 16 




44 


57767 


3218 




42233 






^2 


Id 
75 


58 8 




_5i 


0.^5 


»997 


390,5 


60986 


390,4 
,3.36018 






46 
45 


iTlTT 






7^33^85 


180) 


.2.360.8 


7.63982 






i6 


57 5> 




8 


6678< 


2613 


333.6 


66785 


2633 


333 15 






44 




5744 




16 


69417 


3483 


3o583 


694.8 


348. 


3o5S3 




9.99999 


43 




5, 36 




14 


7190. 


3348 


381.K, 


7.900 


3348 


28100 




99999 


43 


[9 


57=8 




3a 


74'<48 




25752 


7424s 




35753 




99999 


4> 

40 


1 1 57 Ji. 




40 


7.76475 


1119 


,3.335>5 


7.7647!! 


'ITTi 


.3.13534 




9.99999 




57 1' 




48 


78594 




3.406 


78595 




3i4o5 




99999 


S 




57 i 




56 


8.-6T5 


s 


19385 


806.5 


i 


19385 




99999 


a3 


45 56 




4 


b^i45 


17455 


63546 


17454 




99999 


37 


i4 

25 


56 48 






84393 


1773 
I7u4 


.5607 


64394 


'773 
I7<'4 


.56o6 


001101 


99999 


36 

35 


11 56 4u 


TT 




7.86166 


11.. 3834 


7.86167 


.3.13833 




9-99999 


j6 


56 3) 




a8 


8787. 


1639 


131 3.. 


67671 


.630 


13.39 




99999 


34 


=7 


56 24 




36 


895,9 


1579 


To49. 


695,0 


,579 


.0490 




99999 


33 


28 
'9 
3i. 


56 16 
56 8 




44 

53 


91088 
9261) 


i5j4 
i47= 


s?« 


'^ell 


.534 
1473 


0,^87 


^i 


9999? 
99998 


32 

3, 
3;; 


II 56 c 


7.94084 


'1434 


13.05916 


7.94086 


.424 


.3.o59r4 




9.99998 


3. 


55 52 




8 


955.* 


,379 


0449' 


955.0 


.379 


04490 




99998 


It 


3. 


5544 




16 


96887 


i33b 


o3ii3 


f^.t 


i330 


o3iii 




99998 


33 


55 36 






982,3 


1307 


01,77 


\m 


0,775 




9999S 




M 
31 


55 58 




3j 


^5.- 


,359 




5952. 


00478 


00002 


99998 


36 

is 




40 


e.«v779 


1^3 


11.992)1 


8.0..781 


im 






999998 


36 

37 


55 J2 
55 4 




48 
56 


oTo' 
o435< 


1:1s 


5ii 


030<i4 

03194 
04353 


::% 


9^^ 


0000; 


99998 
99997 


14 

33 


3S 


54 56 






1138 


9565. 


i.lB 


95647 


oo(m: 


99997 




39 

4" 


54 ^H 




It 


05478 


ilfx 


94533 


o5d8i 


..01 


94519 


oooo3 


99997 


— 


1. 54 4< 






8. ^578 




...93433 


8.06581 




...93419 




9-99997 


4> 


54 31 




38 


0765. 


io46 


93350 


07653 


.047 


93347 


oooo3 


99997 


7 


43 


54 24 




36 


08696 




9i3o4 


')8700 




9i3o<, 


0000: 


99997 


,8 


43 


54 16 




44 


097'f 


999 


90281 
89283 


09733 


'99B 


00378 
69280 




99997 


17 


44 
45 


54 8 




Jl 




976 




976 


00004 


9999« 


16 
75 


M 54 






3.11693 


954 


11.88307 


■■;;s? 


955 


ii.883o4 


10.00004 


9.99996 


46 


53 5a 




8 


.'647 


534 


8,353 


934 


S7349 




99996 


'i 


47 


5344 




16 


.3551 


ti 


^;? 


.3585 


& 


864.5 


00004 


99996 


i3 


48 


53 36| 




24 


■ 4495 


i45oo 


85500 




99996 




g 


53 18 




32 


1539. 


877 


84609 


.5395 


878 


846o5 




99996 


To 


n 53 2. 




4o 


8.16368 


86. 


11.83733 


6.16273 


~6& 


ITTsS^ 


.0.00005 


9.99995 


5i 


53 12 




48 


.71=8 


843 


83872 


17.33 


843 


82867 




99995 


1 


5i 


53 4 




56 


'7971 


837 


83039 


;.'8S 


828 


63014 




99995 


53 


5i 56 




4 


.8798 


B.2 


6,202 


8.3 


8o384 




99995 




54 
55 


52 ^8 






,96To 


_J77 


S0390 


,,6,« 


-jm 


oooo5 


99995 


6 
5 


II 52 4<i 








762 


'-M 


e.M,3 


782 


-,« 


lO.OOlX* 


9.99994 


56 


52 32 




a8 


"I95I 


1 


■i^ 






99994 


4 


57 


52 j4 




36 


7604; 




78036 




99994 


3 


58 


52 16 




44 






77387 




742 


77380 




99994 




59 


5) 8 




52 


13456 




76544 


lm° 


73o 


76538 




99994 




66 
M 


52 






24186 


7'7 


7*8,4 


.4.,. 


7,8 


75808 


00007 


99993 


M 


Hni.rP.M 


H^ 


~ 


c™i«. 


IMS'.!' 


Secanl. 


C„.„, 


USA' 


Tangenl. 


Coseranl. 


Sine. 



ny Google 



F>|!*186] 


TABLE XXVII. 






1" 




Log. Sines, TangeaU, and Secants. 


178^ 


HourA.M. 

M 53 


Hour p. H. 


Sine. 


DifT.I' 


CoierBni. 


TMgen,. 


Bir.i' 


CcHBogen, 


Secant. 


Co.i». 


M 

63 


8. 14 186 




11.75814 


8.34,9' 


^tTs" 


M. 75808 




9.99993 


J 


5i 53 


8 8 
8 16 


'X 


706 


75097 
743^, 


;s;? 


706 


75090 
74364 


00007 


99993 
99993 


5^ 


3 


5l 36 


8 34 


363o4 


73696 


a63i3 


73688 






57 


4 
"5 


5i 38 


8 3^ 


36988 


673 


73J3 


'fiw6 


673 


73oo4 


00008 


9999' 


56 
55 


II 5l 30 


8 40 


8.37661 


"663 


"■?;i^ 


8.37669 


"653" 


,,,7333. 






6 


5r 13 


6 48 


38334 


653 


38333 


654 


71668 


00008 




54 


7 


5r 4 


8 56 


'X 


644 


71033 


38986 


643 


71014 


00008 




53 


8 


5o 56 


9 4 


634 


Ci 


396.5 


634 


70371 


00008 




53 


_7 


5o J8 


9 13 


30355 


634 


3o36; 


635 


69737 


00009 


9999' 


5, 
53 

% 


II 5o4'i 
5o33 


"V^ 


'iSl 


6,6 
608 


'essi^s 


8.30888 

3i5o5 


"617 
607 


"li 


00009 


9.9999, 




50 34 


9 36 


33, o3 


599 


67897 


33, ,3 


599 






.3 


5o ,6 


944 


33703 


t. 


57398 


337,, 


s; 


67J89 




9999° 


47 


i4 
I5 


So 8 


953 


33393 


667i>8 


333o3 


66698 




99990 


46 
45 


.1 5o 




8.33875 


TW 


,1.66,35 


8.33886 


TW 


■1.66, ,4 




'1SS 


.6 


49 53 


10 8 


34450 


563 


65550 


3446, 


568 


65539 




44 


17 


4944 


10 16 


35oi8 


56o 


G4983 


35039 


56i 


6497i 




99989 


43 


■8 


493s 


10 34 


35578 


553 


64433 


3559" 


553 


644,0 




99989 


43 


1? 


49 >8 


10 33 


36i3i 


547 


63869 


36,43 


546 


63857 




99989 


4i 
4o 


11 49 ao 


1040 


8. 36678 


539 


.,.63333 


8.36689 


"540 


.1.633,1 




9.99988 




49 13 


10 48 


373,7 


53J 


617S3 


37339 


533 


63771 




99988 


S 




%A 


10 56 


37750 


5a6 


6a35.> 


37763 


537 


63338 




^3 


33 


II 4 


38.176 


530 


61734 


38389 


530 


6,711 


oooi3 


99987 


37 


H 
S 


48 48 




3879f 


5,4 


6i3o4 


388o5 


5,4 


6. ,9, 


oooi3 


99987 


36 
35 


1148 40 




8.393,0 


5oB 


■■■a 


8.39333 


-53^- 


11.60677 


10.00013 


9,99987 


=6 


48 33 


II 38 


398.8 


503 


39833 


Soi 


60.68 




99986 


34 




48 34 


IT 36 


4c,33o 


496 


59680 


4o334 


496 


59666 


O0OT4 


99986 


33 


38 


48 .6 


IT 44 


40816 


49 r 


5S693 


4oB3o 


% 


as 


00014 


99^ 


33 


11 


48 8 


n 53 


4>3o7 


485 


4,331 


000,5 


^ 


3, 
3^ 


r<48 




8.4,79= 


4tto 


1,. 58308 


8.4,807 


4Bo 


n. 58193 




9.99985 


3i 


4753 


13 8 


43373 


474 


577=8 


43387 


475 


577.3 


'oooiS 


99985 


1 


It 


47 44 


13 16 


43746 


470 


57354 


43763 


470 


57338 


00016 


99984 


33 


47 36 


13 34 


433,6 


464 


56784 


43333 


464 


56768 


ooot6 


99984 




34 
35 


47 38 


13 3l 


43680 


459 


563ao 


43696 


460 


56io4 


00016 


99984 


36 


•1 47 30 


13 40 


8.44,3s 


455 


11.5586, 


8.44,56 


"4ST 


11.55844 




9.99983 


36 


47 " 


13 48 


44594 


45.. 


55406 


446.1 


45o 


55389 


00017 


99983 


34 


37 


47 4 


13 56 


45o44 


445 


lis? 


45o6, 


446 


54939 


00017 


99^3 


33 


38 


46 56 


i3 4 


45489 


44 1 


45507 


441 


54495 


00018 


99983 




39 
40 


46 48 


|3 13 


45936 


436 


54070 


^^^ 


437 


540S3 


00018 


99983 


M 


II 46 40 


0.3 30 


8745366 


433 


11.53634 


8.46385 


-43V 


,1.536.5 


10,00018 


9.999B3 


4> 


46 33 


i3 38 


46799 


437 


5330, 


468.7 


436 


53,83 


00019 


99981 


il 


43 


46 34 


l3 36 


47336 


434 


53774 


47345 


434 


53755 


00019 


999S1 


43 


46 16 


■ 3 44 


47650 


4,9 


53350 


47669 


430 


5a33i 


00019 


99981 




44 
45 


46 8 


i3 S3 


48069 
8.48485 


4,!i 


5,93, 


48089 


4,6 


5,91, 




99980 


75 


11 46 


i4 


4m 


11.5,5,5 


8.48505 


4l3 


,1.5,495 
5ioS3 






46 


45 53 


14 8 


48896 


408 


5iio4 


^;^ 


408 






14 


47 


45 44 


14 16 


49304 


4o4 


50696 


4o4 


50675 






|3 


48 


45 36 


i4 34 


49708 


400 


50393 


49739 


40, 






99979 




49 

5S 


45 38 


i4 33 


56i<« 


396 


49893 


5oi3o 


J?L 


49870 


OQ033 


^l 


— 


u 45 30 


14 40 


8.5ol^ 


1^ 


11.49496 


8.50537 


393 


11.49473 




9-99978 


5i 

S3 


45 13 
45 4 


■4 48 
14 56 


i?;s 


^ 


49103 
467,3 


s;: 


ir6 


S 


^3; 


99977 


1 


53 


44 56 


i5 4 


51673 


383 


48337 


5.696 


383 


48364 


0003; 


99977 


I 

5 


54 

51 


44 48 


iS 13 


53055 


379 


47945 


53079 


38o 


479', 


000 34 


99976 


n44 4« 


iSio 


8.53434 


1^ 


,1.47566 


8.53459 

53835 


-w 


11.47541 




9.99976 


56 


4433 


i5 38 


538 ,Q 


373 


47,90 


373 


47165 




99975 


4 


57 


ii 34 


i5 36 


53,83 


369 


468,7 


53308 


370 


46793 


0003; 


99975 


3 


58 


44 16 


i5 44 


5355a 


367 


46448 


53578 


367 


46433 


00036 






59 


44 8 


)5 5a 


539,9, 


363 


46081 


'iS& 


363 


46o55 


00036 






6^ 


44 


16 


54383 


36o 


457,8 


35. 


45693 


OO036 


99974 


M 


Kourr.M 


Hour».lc 


Cosine. jDiH-.l 


SecuiL 


c.»«.. 


Diff.r 


Tauge«,. 


Cotaeaol 


Sine. 



r),gti7co3yGoOglc 



























M 


H™rA-«, 


HoUfFM. 


Sine. iW.l 


Cc»e.'am, 






Soi-nni. Cialiic. 


M 




[i 44 o 




1.5ijB3 3(») 




8.543-* 


36. 


'•S 














45358 








S 








54999 355 


45.-.1 






ffi 






43 3f 


i6 34 


44616 


55381 


.ISi 








43 38 




557-5 349 


.14'95 


55734 


349 


44366 






55 


[i 43 3f. 


iti 4'> 


3.5u.>54 34fi 


"IK 


a.5fW«3 


14fi 




10.00039 










5(i4«> 343 


56430 


W 














1(3 56 


5fi743 341 


43i57 


56773 


Ml 


43337 








H 


4i se 


'7 4 


57.-S4 337 


};i;; 


57.1:1 


318 


43886 








-2 


4a a« 
II 4j 4t. 




574' 1 


3)6 


5745) 


316 


41548 


O(io3i 


999*^ 


5F. 






Ui 






m 


11.4^1.3 










58089 


If.. 


'X 


58i>. 




41879 




99968 


% 




4j 1-1 




584 1( 




5845. 




4.549 




999'* 






n 44 








5877? 












,1 




17 53 


5^.7-, 


333 


40938 


59105 


3j3 
.111' 


4'.B95 


o(x,33 


999"" 


75 


M 4i ( 






In, 


1 1 .4"6<.5 






.0.0003: 






4i 44 


i6 i5 


59715 
6.«33 


3,6 


4"385 


a 


i:t 


tl 


ooo34 


999h., 


43 








6..34C 




3955, 


6o38^ 


.+i4 




W*^ 




'V 










39338 


a.6rc*.9 








9996. 


40 




i8 4<' 


■•XJ 


"1^; 


I0.O0O36 










6.>B: 


3o7 


6,3.9 




ooo3i 




^ 




4i ' 




6(58t 












ooo3': 




-i.i 


4o 5( 


19 4 


6169= 


loi 


3«if.6 


6,93. 


.V>1 


3S069 
37766 


oon3E 






>4 

i5 


4o 48 
II 4o 4c 


19 II 


63i9r 


3oi 


3^8o4 




3o. 


o<x>3S 




35 






M.375,,3 


8.O3535 




.1.37465 


10.00039 












30 




63834 












Ji 






63385 




at 














jB 


4o i( 






63436 




36574 








'9 
3o 


4o S 


.9 5, 


63678 


390 


36331 


63718 


391 


36383 


ooo4i 




3S 


II 4o €> 




8.6396! 


iHH 


ii.36u3j 


8.64009 






io.ooo4i 


'■?SS 




39 5; 








3574d 


3R7 


35703 


ooo4s 


tt 










lM.1 




iH-i 












30 3-1 


64837 


3fi3 


35173 


64870 


iM4 


35l3r 


ooo4' 






35 


39 38 


30 33 


65111 


381 


3489^ 


65i5. 


38. 


. 34846 


ooo4< 


99956 


rs 


.. 39>o 


o ao 4o 


H 6^30, 




M.34fio9 


8.65435 




...34565 


















657.; 


itN 




00041 








8,4 


30 5( 


659i7 


T-h 


34o53 




lit, 


3400; 










31 :{ 




3--< 


33777 


6636^ 


374 


33731 


ooo4f 


99954 




4' 




31 11 


66497 


373 


335o3 




373 


3345^ 


OO046 


9995. 


«; 


11 38 4o 




8. 6*1769 






8.66816 




11.33,8. 


.0.00047 




d:- 


38 34 


21 35 


673.18 


369 

3fi7 


'A 


67356 


a 


33644 


^48 


99953 


:t 






31 4i 


67575 


3fifi 


334i5 


6763. 


3fifi 


3i37t 








45 




31 53 


67841 


353 


33.59 


67890 


364 


33110 


00041 


999i, 


t5 


,1 38 o 






363 


11.3.896 
3<633 


8. 681 5. 


1M 


.1.51846 












68367 


3fio 


68417 


361 


3i58; 






.4 


A- 




11 iC 


6863- 


35o 


3 1373 


6867! 


360 


3i3i; 












33 3/ 


6cm 


Ijtt 


3iiU 


68931 




31063 








S 






69.4- 


356 


3i«56 


69196 


>57 


30804 




99948 


1^ 


l> 3, 30 


O 13 4" 


8. 69403 


'1^ 


1..30600 


8.6945: 


i55 


„ 1..547 


io,o.»5: 








13 a 


6965- 


153 


3o346 


697"< 


354 


3oo3f 


000 5- 


9994( 


I 






31 M 




35l 


30093 


6996: 




ooo5, 








l3 t 




»Sn 






35 1 




ooo5' 






55 




l3 13 


7"4'^ 


349 


1959. 


7o46! 


349 




ooo56 




^ 




O l3 30 


8.7065! 


347 


11.19341 


8.7071. 


348 




10.0005I 


9.9994- 






33 lE 




346 


',&, 




i^ffi 


ioi>38 






4 






i3 3e 










ooo5 
















386<.5 






38547 


ooo5; 






b, 






716^! 


Tfl 


38361 












M 




34 o 




340 


18110 


7.940 


341 

nifl-.i 


18060 


00060, 99940 


.11 


IIwrr.H 


Hour A. in 


Cosinn. 


DilT.I 


.lefKiii. 




TBneeil.. 


Om^kiiI.' Sine. 



,y Google 



M Hoiir..>i 


HourF.H. 


SiM. 


Difl-.l' 


CoMGIinl. 


Tangei... 


^18^ 


Coangem 


Saeuit. 


Codne. 


M 

55 


o 11 36 ., 


034 


8.7188a 


340 


ll.lSllo 


8.71940 


14 < 


11.38060 




9.99940 


[ 35 5j 


34 8 


73130 


lu 


37880 


73l8> 


139 


37819 




99940 


ii 


a 35 44 


14 16 


73359 


37641 


73410 


339 


37580 




& 


3 35 36 


34 34 


7^1 


337 


374o3 


73659 


13? 


37341 


00063 


57 


4 35 38 


34 33 


335 


37166 


73896 


336, 


37104 


0006a 


^ 


56 

55 


5 1. 35 .u 


03440 


^■?^ 


334 




8.73,33 


isi 


11.36568 


I0.00063 


9.99937 


5 35 13 


34 48 


333 




73366 


334 


36634 


00064 


99936 


54 


7 35 4 


34 56 


73535 


333 


36465 


73600 


l33 


i64oo 


00064 


5^36 


53 


8 34 56 


35 4 


73767 


33o 


16333 


73833 


33, 


16168 


00065 


99935 


51 


9 34 48 


35 13 


7^997 


339 


16003 


74o63 


"9 


35937 


00066 


^34 


5. 

53 


io ,, 34 4. 


35 30 


8.74336 


338 


.1.35774 


8.74393 


339 


11.33708 


,0.00066 


9.99934 


.1 34 3a 


35 38 


7'f454 


336 


35546 


745i. 




35479 




99933 


^ 


•> 34 =4 


35 36 


74681 


336 


35330 


74748 


336 


35i5i 


0006H 


99933 


i3 34 i6 


3544 


74906 


134 


15094 


74974 


335 


35036 


0006S 


9993a 


47 


i4 34 8 


35 53 


75i3o 


333 


34870 


75,99 


334 


34801 


00069 


9993. 


46 
45 


■ 5 .. 34 .> 


36 


8.75353 




11.34647 


8.75433 




11.34577 




9.99930 


i6 33 5j 


36 8 


75575 


330 


34435 


75645 




34355 


00071 


99919 


44 


n 33 44 


36 16 


7579^ 




34305 


75867 




34,33 


00071 


99919 
9991S 


43 


i8 33 36 


36 34 


760.5 


319 


13985 


76087 


3ig 


IS 


00073 


43 


■ 9 33 38 


36 33 


76334 


1.7 


13765 


76306 


-^t 


00073 


999^7 


4, 
40 


ao u 33 lo 


36 40 


8. 764s < 


316 


11.33549 


8.76535 




11.33475 




9.99936 


ir 33 11 


36 48 


76667 


116 


13335 


76743 


1,6 




00074 


99936 


II 


33 33 4 


36 56 


76883 


ii4 


331.7 


76958 


ii5 


33o43 


00075 


99915 


i3 3i 56 


=7 4 




3l3 


11903 


77173 


114 


33837 


00076 


999^4 


37 


j4 3a 48 




773io 




13690 


77387 


Ji3 


33613 




W9^3 


36 
35 


15 M 3i 4o 




8-7753^ 




11,33478 


8.77600 






10.00077 


9.99933 


=6 3i 3= 




77733 




33367 


778,1 




Zt 


00078 


99933 


34 


17 3j 24 


37 35 


77943 


3 


33057 


78033 




00079 


99931 


33 


38 3i iG 


3744 


78153 


11848 


78333 


S 


31768 




99930 


33 


'9 3i 8 


17 53 


78360 


308 


1.640 


78441 


3,5H9 


00080 


99930 


3. 

3o 




38 


8.78568 


"106 


i..3i43j 


8.78649 


306 


,i.ii35i 


10.00081 


9-999'9 


3, 3i 5j 


38 8 


78774 


205 


31336 


78855 


305 


1..45 


00083 


999.8 


11 


35 3> 44 


38 16 


78979 


304 




79061 


305 


30939 


00O83 


999'7 


33 3i 36 


38 34 


79185 


303 




79>66 


3o4 


30734 


ooo83 


99917 




34 3. 38 


38 33 


79386 




3o6r4 


79470 


303 


30530 


00084 


99916 


36 

35 


35 ir 3i IO 


38 4" 


8.79588 






8,79673 




...10337 


I0.00085 


9.999.5 


36 3i II 


38 48 








79S75 




30.35 


00086 


999'^ 




37 3i 4 


38 56 


s 


199 








19934 


00087 


999.3 


33 


38 30 56 


39 4 


199 


.98,1 




IS 


19733 


00087 


99913 




39 30 48 


19 13 


197 


.96,1 


80476 


T95i4 




999.1 


1^ 


4o II 3<>4o 


39 30 


8.80585 


197 


11. .94.5 


8.80674 


.98 


I.. 19336 


10.00089 


9-999" 


4i 3o 3i 


39 38 


80783 


.96 


19318 


80873 


196 


imiS 


00090 


99910 


\t 


4= 3o 34 


3936 


80978 


,95 


\S" 


8,068 


196 


tM' 




99909 


43 3o i6 


3944 


81173 


194 


8,364 


195 


T8736 




999°9 
9990S 


'7 


44 3o 8 


3953 


81 367 


'93 


.8633 


8,459 


L94 


i854. 




.6 

is 


45 n 3o o 


D 3o 


a.8i56u 


193 


, I.. 8440 


8.8,653 


193 


....8347 


10.00093 


9.99907 


46 39 53 


3o 8 


8,751 


191 


18346 


8.846 


,91 


181 54 


00094 


99506 


■ 4 


47 39 4^ 


3o rfi 


81944 


190 


iBo56 


83038 


191 


17961 


00095 


99905 


.3 


48 39 36 


3o34 


83134 


;i; 


.7866 


83330 


190 




00096 


99904 




49 39 '8 


3o 33 


833j4 


T7676 


8=41. 


190 


nJ^ 




99904 


7^ 


5<. 1 1 39 111 


3o 4" 


8.835i3 


168 


ri. 17487 


8.8j6i< 


;S2 


.1.17390 


10.0009719-999^3 
00098 9990a 


5, 39 „ 


3o48 


83701 




17199 


i'^ 


17)01 


t 


5. 39 4 3o 56 

53 =H 56 3i 4 


838KB 


187 


17111 


188 


170.3 


0009. 


99901 


83.175 


i85 


16935 


83175 


,86 


■6835 




99900 
99899 


7 


54 38 4B 


3i 11 


83351 


i85 


,6739 


83361 


.86 


16639 


00,01 


6 


55 1 . 78 4.. 


3i 30 


8,8344. 


'7S4" 


11.16554 


8,83547 


,85 


.,.16453 




9.99898 


56 38 33 


3i 08 


8363.^ 


i83 


.637.. 


8373. 


,84 


.6368 




99S98 


4 


57 38 i4 


3i 36 


838i3 




16187 


839>6 


,84 


16084 


00103 


99897 


3 


55 38 if 


3. 44 


83996 


'8r 


i6o„4 


Bdi-J< 


,81 


.5900 


OOIOJ 


99896 




59 38 8 


3. 51 


84T?7 




15833 


84383 


.83 


157.8 




998^ 




6i> 38 < 


33 


84358 


f)iir. I 


15643 


84464 


181 


15536 


00106 


99894 


U 


M ll™rp.« 


H™if,.fl, 


CoiHllgP.1 


nff.\ 


T«,.s«,... 


Cosocanl 


«"- 



n,gti7co3yGoOglc 



TABLE XXV II. l^™ 
Log. Sioea, Tangents, and Secants. 
4'' 175= 




M 

i 

4 
5 
6 

I 

_9 

i3 
■4 

is 

16 

;i 

10 

]3 
>4 
iS 
16 

i 

3i 
3> 
33 

34 
35 
36 
37 
3S 
39 
4o 
4r 
4i 
43 
44 
45 
46 
47 
4S 

g 

5t 
5i 

53 
54 
55 
56 

57 
5S 

M 


HOUTAJI 


Hoacrjn 


Sine. 


DiS-.l 


Co»cul 


■nuigeou 


Diir.i 


Coiani^i) 


Secant. 


Com™, 


H 

60 

55 
54 
53 

53 

5, 
5S 

ii 
45 
44 
43 
43 
41 

1 

u 

K 

Ii 

33 

3. 

3c 

:i 

37 

16 

55 
14 

33 

;i 
,1 
'i 

6 

"5 
4 
3 

M 




IT 5i 

17 44 
17 36 
»7 »8 


3i 8 
3i ,6 

33 34 

3a 3i 


84539 
84718 
84897 
85075 


179 

177 


11. .5643 

iS46i 
1 5183 
i5io3 
,49»5 


8.84464 
84646 
84831 

85 185 


183 
180 

.So 


■ 5354 
15.74 


10.00106 9.99894 

00107 998^3 

00108 99893 

00109 9^9' 
00109 99891 




»7 ■ 
i6 56 
96 48 


o3i4o 
3*48 
33 56 
33 4 
33 11 


8.85i5 

8578c 
8595 


177 

1 


11.14748 
■4571 
.4395 
i4iao 
,4045 


8.85363 
8554< 
85717 

B 


177 
176 
■76 

■74 


11.14637 
14460 
14383 


^11 31 99887 
001. 4| 99886 




M16*, 

36 3] 
s6 14 
i6 i6 
i6 8 


o 33 lo 
33 i8 
33 36 

33 44 
33 53 


863o 

66474 
86645 
868i6 


173 
171 
,171 
17, 


11.1387:. 

13355 

13184 


8.86)4. 
86417 

8676 
B6935 


'74 

■74 


.1..3757 
13583 
.3409 
13337 
i3o65 


00116 
00.19 


9.99885 
99883 

gss; 




i5 5i 
»5 44 
i5 36 

iS36 


o34 o 
34 e 
34 i6 
34 34 

34 31 


87315 


■67 
168 


ii.i3oi3 

■ 3844 

.3675 
13506 

.3339 


a. 87106 
87377 
B7447 
87616 
87785 


171 

■i 


...13894 
13733 
13553 
13384 

13315 


0013: 


9.998&0 
99879 

99877 




35 11 

35 4 
34 56 
14 48 


34 4O 
35 n 


883*6 


ibo 
166 
i65 
i64 
164 


'i3oo: 


8.87953 
88387 

884-53 
88618 


.66 

165 
i65 


1...3047 

11680 


10.00.34 
00.35 
00.36 

00.37 
00.38 


9.99876 
99875 
99874 
99B73 
99873 




.IM40 

34 33 

34 M 
i4 i6 
14 8 


o 35 3o 
35 38 

35 36 
35 44 
35 5j 




163 
i63 
163 
163 
160 


1.. 1.346 

11183 

io85f 
10696 


8.88783 
88948 

lii 


.63 
■63 
163 
161 


'11053 

lolfl 

.0563 


ooi3i 

OOl33 

001 33 


9-99"7' 
99870 

99867 




1114 o 
i3 5i 

33 44 
33 36 

33 38 


o36 o 
36 8 
36 i6 
36 34 
36 3i 


Si 

9010a 


ibi 

1 


10375 
10316 
10057 
09898 


90140 


160 
160 
160 
159 


11.I0403 

10340 
.0080 
09910 
09760 


.0.00.34 
001 35 
00.36 
00.37 
00.38 


,.9,»6 
99865 
9986^ 

99863 




33 13 

33 4 
33 56 

3148 


o 36 4o 
36 48 
36 56 


8.90360 


1 57 

;s 

i55 
i55 


11.09740 
OQ583 
o?436 
09370 
09115 


90715 
90873 
91039 


ibB 
i58 
■ 57 
.57 
i56 


"■^3 
093B5 


00143 
00143 


99860 
99859 

99858 
99857 




11 31 4o 
11 3] 

11 j4 

31 |6 


o37 ao 
37=8 
37 36 
37 44 
37 5i 


S. 91040 

9i5oj 
;.655 


i53 


'^8o5 
o865. 


8.91185 
91340 


i55 
.55 
i53 
154 


11.08815 
08660 
o85o5 
08350 
0S197 


"00.45 
00146 
00.47 
00,48 


'■Sis 

99855 
99854 
H53 
9985= 




31 5l 

31 44 
31 36 

11 38 


o 38 o 
38 8 
38 16 
38 34 
38 33 


8-9,807 
9-959 

93411 


1^1 
i5i 
i5i 
.5o 

t5o 


■■•ssf 

075S9 


8.9957 
?&i 


i5J 

l53 

■ 53 

i5i 

■ 5i 


11.08043 

07586 
07435 


ooi5) 

001 53 

001 54 






31 4 

30 56 
30 48 


3 3B40 
38 48 
38 56 


8.93561 
91710 
93BS9 

$57i4 


149 

18 

147 

l47 


n. 07439 
07190 
07141 

Si 


8.93716 
93866 
93016 
.9316? 
9331 3 


i5o 
i5o 

■49 


11.07384 

07134 

>o6984 

06835 

06687 


10.00,55 
00,56 

- 00157 
001 58 
00159 


9.99»4S 
99844 
99843 




11 lo 4o 
lo 3i 

=oi4 
lo 16 


4o o 


935^4 
93740 
93885 
5>4o3(i 


■46 
i45 
i45 
144 


06406 
o6j6o 
o6ii5 
05970 


8.93461 

q36oo 
l^ 
9>3 
9404? 
94195 


■47 
■47 
■47 

■46 
i46 
i45 


06391 
06344 


.0.00,60 

00.61 
00.63 

ooi63 
O0.64 
00166 


^37 

^36 
?^34 




Hourp.H. 


Hviri.ll. 


Carine. 


DiCI' 


Secul. 


Colangml 


uiff.r 


T^genl- 


C««m,., 


Sine. 





- Coogic 



5» 






A 




A 


B 




B 


C 




C 174-I 


jX 


Houn.H 


Hour P.M. 


Sine. 


Diff 


CoHicBni. 


T.nR.„,. 


DIE- 




SwanL 


Diir 


Coiine. 


M 

6n 




o4o 


8.o4o3o 


■■■te 


8-94195 




ii.o5ao5 


13.00166 




99983; 






4o 8 










o566o 








It 










< 


o568a 




' 


o55i5 






99II3. 


■( 


.9 36 


40 =4 














oo,6( 




99»3. 


5i 


■1 


T9 aB 




946o3 
8-94746 


--2 






9 


o5aa7 






99«3o 


55 




4o 4n 


11. 0535.1 


8. 94917 




...o5o83 






"SS:? 


li 




4o 4S 


9488: 




o5,i; 






04940 


0017; 




54 




lo 4 
ifi 56 


4a 5G 






s: 






St 


00,7; 








^ 


4r 4 














»*.S 


53 


_? 


i8 48 




953.0 




04690 






o45i4 






998,3 


5o 


M ,B*; 




8-9545(1 




ii.o455o 






11-04373 










i8 35 


4. aS 


a 


a. 


04411 




3. 








99«" 


S 














a- 


o4oQa 








1.1 


i8 It 


4i 44 
















9,».c 




7s 






~1 


03995 










99819 


45 


It i8 o| o4i o 


8-96.4: 


II-03857 


8.9<i3a5 




,..03675 










17 5; 


43 8 






lt373C 












99».l 


44 




17 4. 


4i i€ 












o336T 












17 36 


4= a4 


9655: 


3. 


03447 


96739 


4< 


ooi8{ 






43 


S 


17.6 


4= 3a 


9068? 


~44 


o33ii 






o3,»3 


00,8-; 


i> 


99»i3 


4, 
40 






8.96835 


T,. 03,75 


8 -970,; 




-X 














969b. 




o3o4o 


97i5c 








99»i» 


37 


j.l 


;s4 


4i 56 
43 4 


97095 


i5n 


oa9o5 


97a85 
974a 1 


S 


oa579 


00191 
00191 


^ 


gss 


ad 


i6 4f 


43, a 


"T5 


oa6J7 


97^«. 




01444 







99»»7 


35 


» I6 4U 






.1.0,504 


8.9769. 


55 


,,.oa3oo 


,0.00,9. 






It 




43 a8 


















99S'>3 






l6 a- 






ix, 






Ix 


oao4i 


00,9-; 








It 


i6 l6 




9785K 




oa.o6 






01908 






99H(.5 




'9 
5i 


i6 e 


43 5a 


98<,at 


04 
66 


0.974 


9S3a5 




0,775 


00,9; 




99»». 


3o 


44 


3-98,57 


n. 0,843 




« 


II -0, 64a 










44 8 








9e49( 










9979S 


'i 


.■*! 


.5 4:^ 


44 .6 






oi58i 




71 


0,378 


00 ao: 






,1,- 


i5 3f. 


44 a4 






o.45i 






01347 


ooaoi 






37 


U 
35 


i5 ?8 


44 3a 




75 


oi3a. 




7-' 




ooao5 


V 


99,91 


35 




« 44 4" 


j-oBSi.) 




"■™Z 


8-990.5 


7- 


H-009&5 
00855 










44 48 










001c>t 








:!■; 


i5 . 


44 56 






00034 
00606 


9937; 




oo7'5 


ooao^ 




99791 




;if 








M- 






oo466 






??s 




f; 


14 4i 


45 i» 


99333 






9953. 


89 




-|- 


— 


M j4 4< 


45.O 


S-9945.. 




i,-0<-55o 


8.99663 


, 1 .0033B 


lo-ooi,; 


9-99787 


41 


]4 3; 


45 18 




V 


00433 


99791 


91 


ooa<'9 








'9 


4'J 


l4 3' 


45 36 


997"' 


9'' 


ooasG 


999'; 


9- 
























9.oo.>4f 




-X. 










44 
45 


i4 8 


45 5a 


9995f 


90 


00(^44 




_2? 






997Ba 


i5 




o46 o 


9.(Kii>8a 








■-SS? 






9.99781 


rff 












004 a: 










■ 4 


4- 


.3 4. 


46 [6 






99668 




,r« 


















oo45( 




99544 


^If 














49 




46 3a 




i£J 


99^1? 


— 


99195 






99776 


!f, 


II i3 nu 


46 4i> 


9.0070. 


,0.99396 


9.0. -91. 


■"X3? 






9.99775 






46 48 


0.«3) 




99,73 










99773 


t 






46 56 


00951 


I,; 


g 


o;s 








99773 








0107. 














E 




47 13 


o,i9( 




^^ 




10,98450 


ooi3f 




99769 


-5 












,o.ooa3: 


















ra. 


983a, 


















& 


0.79* 




98104 






9V76i 








47 44 


















b(; 




47 5j 


o,8u3 ia( 






i:ii 


tin 




I : 99763 








48 o 


01953 i3a 


Q8077 


oai6a 


,3:1 




, 1 9,*, 




M 


H™r p.« 


Houri.H. 


Cojiiir- Diff, 


Seri.nI- 




DW 


Ta„sen,. 


CoserB,,, 


nitr. sii.e. 


M 


•Xf 






A 




A 


B 




B 


c 




V 


w 



Seoondsoftime | I" 


* 


3' 


4- 


5- 


99 


"1 


fA .6 
Prop.|»Ml»ofMl..^ B 17 

(c 


33 
33 


49 
5o 


66 
66 


8a 
83 


.<5 
116 



Seconds of time |- 2' 


3' 


4" 

56 
56 


69 


6' 

B3 


96 


(A <4 id 
( C 1 


i3 

43 



P*,ilUI 


TABLE XXVn. 


s 


Log. s 


nea, Tn 


gentK, and SecanU. '''- 






A 


B fl C C ITS' 


? 


HriirA.w 


"«"•"■■ 


Sine. 


Diir 


Cosccanl. 


rai,geM.\ng 


Co.a,ige„i 


Sef...l. 


Diir. 


Cniine. 


V 


IT 4 ( 




9.08589 










,0.91086 


,o,.o3i5 






i 


3 44 


W r6 


ciST^'. 


3 


9,3.a 

9i»o5 


090,9 
09,13 


3 


a; 


oo336 
oo3i8 


" 


99674 


59 

58 
















5 




oo33. 






57 


4 

5 


3 j8 




o»99< 




9.00. 


09330 


7 


90670 


oo33. 





996O9 


55 




o 56 4o 


9.09.0. 




.0.90899 


9.o9«. 




10,90566 


.0.OO33' 




















90453 








5^ 








093r>i 




9o69fi 


09640 










9fl(i6<l 


',.1 














09743 










99663 


S'- 


-V 








>4 




098 


; 


.b 
.6 


90,55 






9966, 


5. 


II 1 *i 


o 57 3„ 


9.«)ta* 


It) 


.o.9.>39i 


9.099 


io.9.-.a3 


10.0034, 





9.99659 








oyya; 












99658 


'^ 




1 3, 




0980: 




90193 






0034. 










099..: 




c 


I035l 




89748 


0034; 


I 99651 


il 


14 
.1 








55 


Io353 




89647 


0..347 




W"b3 


1^5 






9.ioio< 


34 


.0.89894 


9..ii45i 




.0.B9546 




)-99<>5i 










3*. 




1055; 


If, 


89445 








^4 


r 








37 




io65( 




89344 








11 








10*.: 


39 




.075( 


aq 


89144 


0035: 






1' 


'V 








TT 


89i<^ 


r.,856 


33 




9144 


oo355 




99«45 


41 




o 58 4" 


9.iob9^ 


,0.8940, 


9.ro95fi 


9044 


,0.00357 






















86845 






99641 


lo 




1 ' 






HS 


89305 


1,|55 


.W 


0O36. 




9964,, 












37 




T,l5/ 


37 


88746 


oo36; 






37 


34 

is 






^" 


"■w" 


40 


890,0 


1,353 


4' 


88647 


oo363 




99637 


36 
IS 


■ 1 o 4< 




5oao 


9....*. 


,0.889,3 


9., ,45. 




lo.ooSe-i 




n^l-i 


St 








4J 








86449 


oo367 






H 




O 2i 




1.381 


43 


887,9 
886>3 


[r64s 


44 


8835, 


oo3« 






■u 








1.37- 


iS 




4h 


88153 








'i> 


ay 




59ba 


m4T' 


4f* 
4K 


88536 




47 


88,55 


0037, 




99619 


^7. 


M U 1 




9.nS70 


,o.a8(3.> 




,o.88ii57 


,o.™37' 


1 




















87B6J 














o <6 


..761 


5, 


88330 

B8.4S 


11.3) 


■i* 


oi>3-< 












o i4 


((85- 


■il 


.3335 


54 


87765 


oo37t 








5s 




o 3j 


..953 


54 


88048 


13331 


55 


87668 






996J0 


16 

i"5 


,o 59 31 


1 o 4'> 






9.l343t 


57 


10.87571 


io.oo38i 




5,996,8 






o48 


11.4: 


5B 






59 


B7475 


oo38: 




99617 


14 




'dA 


56 


13»3t 


59 


87764 


.3611 




87379 
87.83 






996,5 


i3 




t 4 


ii33i 




B7669 
87575 




63 










J9 
4o 






.3435 


"fi? 


138,? 


64 


87,87 






9<*- 


— 


'"^t 




9..35.^ 


.0.874B, 






,o.8,«,, 




















r3oo, 




86996 


0039. 






12 












87394 


■ 309; 




e6£« 












I 44 








•x 












44 
45 




I 53 


.,893 

?T3^5 




87,08 


^ 


867.. 


0039: 




99603 


7s 


lo 58 ( 




.0.87..15 


9. ,338! 














3 8 




74 


















il 




2 |6 


13.71 


^5 


&6e?9 


r357; 




86417 


O04l>3 




99V 


11 






1 u 


.3j6: 




8fi737 


.3667 


78 


86333 


oo4<« 




99596 




49 
5.. 




a 33 


.3355 


78 
"fk, 


86645 


,37fif 


Ho 


86135 


oo4o5 


-; 


_9?V 


'rr. 


lo 5r 3C 


1 1 4» 


9.13W7 


.o.8fi^5T 


9., 385. 






10.00407 








,3dJ^ 






.39« 






oo4o< 




SX 


2 


















i\&. 










3 4 


,37" 


H=, 


86578 


141 3; 


H6 


004,1 




99^88 




51 




3 13 


i38i3 


H7 


86,87 


,4"- 


88 


85773 


oo4i. 




99586 


6 

"5 


,o 561 4< 


. 3*. 




HS 




9., 43.0 






10.00416 












;a 






















56 3. 


3 36 




s&? 


.450, 


ol 


85496 






99581 


3 






3 44 






■ 459: 




854o3 














3 55 






85714 






853 r 3 


0041; 








H 


Hmrr-M 


.^. 


T435f 


niir 


85644 


.4780 




85i)o 


oo4i! 




99575 


M 


C»i,H,. 


Se"Hi,l. 


Co(iu,Be,i 


iwr 


T«,^„x. 


Co«r8nt 


IMfT 


SI,*. 


vr 




A 


A 


B B C 


t; 82" 






Second! or time 


]-|2- 


3- 


4' 


5- 


6- 


7" 










f A 


, 


1 34 


36 


4R 


60 


7, 


84 








Prop. |wrti> of eob 


\^ 


1 


3 ii 


37 


49 


ri. 


73 


86 














" 


' 




' 


' 


> 









H 


Hi»r*.H 


rlaurp.M. 


Sine. 


as 


Coiecaiit. 


TMge.1.. 


Diir 


Dola„ge,.l 


Secani. 


DifT 


Co»ii*. 


At 

f.o 


■o 56 <j 


, 4 (. 


9.i4J5< 


" 


IO.H5644 




io.no4j5 










4 8 


i444' 












oo4=( 






s 




55 4i 


4 i6 


14535 




85465 


.496: 


.( 


85o3: 


oo4-;S 




99572 


.1 


55 36 


4 54 


1 46a; 


4 


85376 




4 


8494e 


oo43' 






57 


4 


5S a8 


4 3a 


1471.: 


{i 


85a86 
10.85,97 


.5i45 
9.i5a3. 


6 


84855 
.0.84761 


To'i 


o43j 





99568 


56 
55 


lo 5S a» 


1 4 4c< 


9..48n; 








(> 




4 48 


;a 






















55 . 


4 5e 






154.7 




8458; 


00437 






5.1 




54 5( 


5 4 






84931 


i55iJ 




84491 


004 J< 






5-> 


_9 


54 48 


5 [3 




<3 
i4 


84843 


1559S 


.■i 




4401 







9955s 


5, 
5o 


.o 54 4^ 


1 5a<. 


9.[5>4'i 


.0.84755 


9.i56«l 


14 




10.0044: 
























oo44' 






/ir 




54 »i 


536 


r54a. 




84579 


i58fi- 




84 13; 


.io44< 






Af 


iH 


54 it 


544 


i55ot 


iH 


8449a 


159^ 




84<v(i 


no44i 






i-' 


i4 


5i 8 
,T-54~^ 


5 5j 


o,™^ 


-^ 




i6.>4i' 






3954 

3S65 


oo45< 


" 


W55.. 


46 
45 




10.843,7 


9.16,35 






.o..«45v 




J. 995 18 


.(i 


51 5; 


6 e 




a,t 


84a3>, 


i6aa. 


a:) 


83776 


004 5i 






41 




53 4' 


6 i6 


.585: 


34 


64143 


163,: 


a5 


8368t 


O045' 






41 


in 


53 3£ 


6 74 


i59l. 


i5 


84o5e 


164.. 


a6 


83599 


00457 






Ai 


i? 




6 3a 




Th 


83970 


1648^ 


17 


1^3473 


oo45< 




99''4- 


4' 
40 




I 6 4.. 






9.16577 


10.00461 








53 11 


6 48 




Jo 


83797 






83335 


0046: 




99537 


lo 






6 56 


i638y 






.675: 


,ia 


83347 


oo465 








ii 






i637i 




836=0 




.0 


83 159 










14 




7 la 


t54& 
9-16545 


ir 


8354'. 


.69=8 




8307! 


00468 




9953, 


.15 


ro 5a 4< 








.ih 


.0 8,08. 








»fi 




7 aa 




It 


8336c 




37 










3.1 


47 




7 36 


l671< 


,«( 


83i84 








0047. 






n 


iW 






ie8.,i 








4'i 


8373; 








3-> 


=9 






16886 


41 




17363 


4a 


ea637 


o-vi78 
.0.0048. 


-|- 


«;■■ 


3i 




I 8 o 




4a 


lo.8Jo3.. 




43 




.h 




8 8 










d'l 


8346: 








^S 








;?;s 


45 


8386. 




411 


8337£ 






00517 










83777 




48 


8339a 


00485 








3i 










6J693 


■779 


49 




00487 




995.3 


36 




1 8 4u 


9.17.V,, 


49 


Io.8a609 


9.. 7881 


5o 










Jr 










835ab 


1796: 




83o3f 








3J 








I755t 




8i44J 






X' 








li 






9 4 


17641 




83359 


i8i3l 




00495 




oo5,.5 




4o 




9 13 








l8a3 




8.77^ 


0049: 




995..3 


!i 


10 5o 40. 1 9 =" 


9.i7tk.7 56 


10.83193 


9.i83ol 


5a 


.0.8160^ 












9 38 












8i&)9 
8.5a5 








\t 


-la 




936 


1797- 


59 


83057 


.84?5 




oo5o; 


















i856o 




8i44< 


oo5o5 








4S 




9ba 














on5o( 




99494 


i5 








6i 




0.1873! 


(I'l 




:o.oo5,J 














OS 


81698 






8li8i 


oo5io 




»■ 




■n 


49 4. 


lo i6 


i838- 








68 


8.10^ 


ooSia 




H 






ID a4 








iSs 




8.0a 1 










49 
53 


49 i8 


lo 3a 


18S47 


6, 


81453 




80937 


oc.5i( 




9^84 


It, 


10 49 JO 


I lo 4" 


9.i86j( 


7. 


10.8.373 


9.19,46 


7a 


10.8085.1 
















8ia9i 








oo5a, 






t 




!^ 








i93r 




8u68t 














s[o4^ 


.9391 




8060E 


oo5a. 








55 






9 «" 


19478 






oo5a6 


3 


99474 


^ 


,o 48 4. 




10.80967 


9.1950 




10.60439 




















8o35; 


oo53t 


















197a' 


Ka 


8oa75 


oo53j 




or^6S 


.1 




^ 'f 






80757 


.98..- 


H4 


8019; 


oo53; 




00466 
























M 






5 
'< S. 


8o567 


'997 


87 




5a 





Hourr.B 


Hoiir*.«. 


StcaM. 


nomifrei. 


Difl- 


T>i.g™,. 


tib 




A A 


B B 


C 


8t° 






Secoudi or Ume 


- 


• 2- 


3- 


4- 


5' 


G' 


7- 






(A 








ProppuUDfcoliJe 




I 33 


li 


4.3 


54 


65 


76 










*C 







I 

















P.|*1M] 


TABLE XXVII. 






Sf 




Log. Sines, Tangeuts, and Secants. 


GK 


y 




A A 


B 






H 


H«..A.-. 


Hour P.M. 


Sine. 


as 


CosacBDL 


Ta^,. 


Diff 


Co«u.,t,„, 


Secaol. 


TUB. Coiine. 


M 


.o48 








,o.8o5&7 








I0.OO531 




















■!Xk 




' W46c 


s 
























■.i 


47 3( 


11 7i 




4 


8o3iG 


101 If 


4 


79784 


oo54. 






57 


4 
-5 


47 "8 




.97b. 




8014? 


10197 






00546 





99454 


5b 




I 11 40 


9..^o 


6 


.0.80.70 


9.ao37( 




.o.796ai 


10.0O54J 












;S5^ 






















47 ' 


13 5e 


9 






9 


79460 


oo55: 






S3 


tl 


46 5t 


i3 4 


aoo6: 




ItA 


106a: 






oo55. 






Sa 


^ 


46 48 








10701 




79199 






99444 


5i 


,0 ^fi ^. 


1 i3 >'> 


■,...>v 


].l 








10.79118 


io.oo55f 




9-9944= 




46 3: 


i3 28 


ao3o; 


14 




10861 


i4 


79.33 


oo56c 






% 




46 s; 


i3 3« 


ao38i 






1094: 






oo56s 












Qo4M 












,oo5& 








i4 
i5 


46 8 




3o535 
9.ao6K 


19 


79465 








00566 




99434 


45 


to 46 t 


1 i4 




9.11183 


19 




10.00 56E 




) -99431 






i4 S 








iii6( 




78739 


00571 






44 














ii34i 






0057; 


















tJiSS 


ii4n 










99415 


41 


IS 


45 18 


.4 3> 


w»9« 


14 




3i49S 






0057^ 




99433 


4. 

4o 


10 45 10 


1 14 40 


'■xm 


ifi 


'°'S 


9.1157& 




10.784=11 
78343 


10.00579 
oo58i 




9.99411 


13 


45 . 


14 56 






i.73( 




78164 














i5 4 


:;s 




7877. 
















14 




i5 u 


TT 


78694 


1.893 


3. 


78.07 


00587 




994.3 


36 
35 


.0 44 4^ 


I |5 30 












10.00589 










i5 aS 


1.4:;! 










vt\ 


00591 










44 11 




1.53. 




78466 




















j.6t( 




78390 






■ 77795 






904O4 




i 








la 


783.5 






77717 






9940a 


5; 


1044 


1 16 






9.3=36. 


39 




10.00600 














39 


78.63 






77563 


00603 




99,198 


^? 




43i 


16 16 




4'> 








77484 


ooHai 




99396 










41 


















u 
5s 




16 3] 




43 


77938 




44 


77330 


00608 


^ 


9939a 


a6 


>o 43 lO 


I 16 40 










45 


.0.77=53 


,0.00610 


^•gss 










45 






47 








14 










47 


777.4 






77099 










:w 


4» 5t 


17 4 


«36i 


48 


V^ 




49 










t 


4»48 




«435 


49 






76945 


006.^ 




»(3S, 


Vr. 


1041 4i 




9-31509 


lo 


.0.77491 


9.13.30 




,0.76870 








4r 


41 3: 


17 >8 


■ij 




i3io( 


^■i 


76794 








\t 


43 


41 3. 


17 36 


11657 


^3 




i338; 


^4 




006a: 
















77195 


13355 




7664. 


oo6aE 








44 
4S 


4a 8 


.753 


ai8o: 


55 


13435 


17 


76565 


oo63o 




99370 


16 
75 


10 41 t 


1 .8 


9.1187! 


•^1 








10.76490 


.o.oo63i 




.mini 


4(; 


4[ 5; 


18 8 










(id 




oo63; 






■4 


41 


4i 4 


18 16 


i3o=5 


59 


76975 


1366. 


h. 


& 


iw63f 






1,1 


dH 










76001 






oo63f 








S 




18 3i 


13,71 


bi 


a38ii 




76188 


. 00641 




99JI9 


7^ 


10 41 »o 


. .8 4° 


9.i3a4i 




,o.7fr756 






10.76..3 


10.0064; 








4< i: 


.8 46 




64 


76683 




«. 


76o38 


0064: 






I 








'A 


65 








^Xi 


oo64: 








io 5* 






76538 


14.1; 


69 


oo64( 




mis, 




« 




.9 ij 


13533 


bB 


76465 


1418G 


70 


758.4 






99348 


b 

-5 


■0 40 4o 




9.13607 


fio 


10.76393 






.0.75739 
75665 


10. 0065. 




9.99346 














73 








4 




40 j< 








144 1< 












■1 








13833 73 




i448< 










9»3<o 










13895 74 
13967 76 


76105 




■rti 












M 


*i 




76033 




78 


75368 


oo665 




99335 





Fiourr.H 


HourA.>. 


Co.i«o. Diff 


Sernnu 


Colangen 


KfT 


Taug.„. 


Co«can..lDiff 


8i». 


M 



Second* of time 


!• 


S* 


» 4- 5' 


6- 7' 


P«.p.p«t.ofooU.JB 


9 


'9 
'9 


38 38 47 
a9 39 49 


57 66 

58 68 





TABLE XXVII. 


fFWlM 


S'. 


Log. Sines, Tangenis, and Secanta. 


°'i 


iCP 


A A B E 




M 


IIourA.H. 


HourP.H. 


Sine. 


Diff 


Co«c«ni. 


T^penl. 


DilT. 




Serant. 


Jiff. 


CoiiM. M 


.r.4" o 




<,aW7 




10.7&133 


9.a463a 




,0.oo665 




9.99335 60 




So 5j 


30 8 






75961 






75194 


00G67 




gSS 






to i6 








3477! 
34853 










.■' 


39 36 


30 34 




3 




4 




0067a 






4 


io39ao 




34j5] 






3493f 




75074 


00674 






I ao 4" 


9.34.13- 


(1 


,o.7W. 


9.a5oi> 


ft 


o.75oon 


.0.01*76 




9-99J'4 '5 


ft 




3o 48 






756.15 


a5iJ7l 




74957 
74854 


0067H 








t4 


ao 56 


,44fVi 


« 




a5i46 


H 


oi«8i 




993., 53 




11 4 


ii53f 




75464 


i53i9 






afiS-] 




993,7 5, 


J 






346fi7 




75393 


»559'i 




74708 




^ 




rr. 3B 4" 








,0 713,1 




0.74635 


,0.01*87 


9.993.3 5o 




38 3: 


ai a8 




1,1 














SI'S J? 






ai 36 


348 If 


'4 




a55io 


■ 4 




0069: 




ti 




SI 44 


3488E 




75,, ■> 






744-8 


0069. 






i4 
75 










75.^a 












993<« 46 


10 38 o 


1 33 O 


0.a5uiS 


17 


10.74,7. 


9.35737 


18 


■0.74373 


.0.00699 




9.9930, 45 








35, IS 












00701 










aa lO 












0070: 






iH 


37 at 


33 34 






74763 


1594^ 




74o57 


oo7o( 






!? 


37=8 






"33" 


74693 


3601 5 


^ 


73985 


00708 




99397 4i 


lo 37 ><- 


1 ja 4" 


9.a53-6 


10.74614 


9.36o8( 


,0.73914 


io.i.,7..i 




9.99390 40 








3544! 




74555 




?S 








SSSS 




37 ^ 


5a 50 




aS 


74486 




ih 


7377. 


^,: 




li 




a3 4 






74417 






V^ 






99383 37 






aS IJ 








3637 








99381 36 


lO 36 4o 


I a3 aci 










.0.7,3557 














aSbSe 










7348* 


0073, 




99376 34 




36 J, 


33 3(j 




74i43 


365b5 






0073! 




99'74 33 


jK 




33 44 








36655 






007 1^ 






g 






a5wb 






3673* 




7317. 


0073, 




99369 3. 


lo 36 c 




9.a6o6; 






'1^^ 


,15 


I0.73ao3 


10.0073: 






■fi 




a4 8 










73,33 


0073< 




99164 =9 
9916a a8 


li 


35 * 




aftiv 










73o63 


0073* 




■il 






j6^67 




73733 


3700* 


39 




00741 






J4 

is 








39 








71911 


00743 


4- 


99357^6 


lO 35 ao 






4(- 


'"^^5t 




4> 








■w 


35 i: 






4r 




41 








99353 34 




35 - 


a4 56 




4J 


73463 


a7a8( 


44 




00751 






,v 




35 A 






73395 








0075: 




«a48 " 


i9 

4o 












3743- 










99=453. 


10 34 4o 


1 a5 ao 


9.36739 




io.73ab. 




47 


,o.7a5o4 










34 3: 


35 a£ 




47 








7»43.1 






99,4. .9 














37635 




733K 






4i 






a(i9d( 
















9933« n 


44 

45 










73993 


37773 




7a la^ 


0076- 




^33 .6 


[o 31 o 


1 a6 




Si 


*7i&6o 


0.37W3 




io.7a,5t 


.-..noTfin 




9.0933, .5 


it 


33 5 


a6 ( 




Si 






7308^ 






991,9 14 




33 4 




a7ao( 


M 














A> 




a6 Hi 


3737. 










v& 






9933^ .3 


49 






373JV 




7366. 




59 


00779 




9?i», 1, 


lo 33 ao 


I 36 4o 


9.37405 


57 


[o. 71595 




,0.718,-1 












a6 4t 






7a5as 






7i74( 


0078: 




993,7 9 












73463 


i83a: 


fti 




O078I 








a7 I 






a. 


a839 


ha 




00781 






5S 






a7t*B 




384^9 




7.541 


0079 




99309 6 








ftj 


.0.73166 




ft-. 


,0.7147; 






>.99307 5 








178& 






3859! 


hfi 




















3866: 




7i33( 












37 4i 








3873. 


ft« 




0080. 






i. 




37 5; 


ss 


67 


7300? 




09 


7i3o: 








M 






Difl- 


71940 






7.. 3; 








IIOUTF.B 


H«ir*.K 


CnsiiK. 


Swaiil. 


Cota«g™ 


Diff 


T^Seat 


Cosecanl. 


DifT 


Sme. M 


0( 






A 




A 


B 




B 


C 




C W 





!• 


2' 


3- 


4- 


5' 


6- 7- 


(A 
Prop. purtiofcoU. ^ B 


9 
9 


'7 
.8 


a6 
a6 


34 
35 


43 
44 


5t 60 
S3 6> 



«,lc 



11 






A 


A 


b' 




B 


c 




C lfi8°l 


III 


HDuri.H 


Hourcw. 


Sine. 


Diir. 


Cosecflni. 


Taiigpnl, 


Diir 


lilolBiigenl 


Secsnl. 


Diir, 


Coune. 


M 

6., 


10 3j 


I 38 


9.38060 




■°-?;s; 


9.38855 




10.7.135 


10.00805 
















3893: 




7106: 


ooSoi 






?8 








3«J?4 
















99.90 


.■l 


3t 3f 


j8 34 


.H 


71746 




3 


70933 
70866 


0081; 




57 


i 


3i iS 


iS 33 


383 1, 


4 

5 


7,68, 


.,,3, 


4 
S 


008,5 

.o.ooe.f 





99' 85 


55 




1 18 4U 




io.7'5i6 














»8 48 






71553 




h 


00830 






S4 












7.488 


39335 




70665 


ooBa: 












39 4 






7M33 




9 


SS 


008a; 








_9 




39 13 




V 




3,468 








99.73 


5; 




. 3930 


9.38705 




10.71395 


9.39535 




.0.7O465 


.0.00830 






!i 


3o M 


39 a8 


d 


li 


71 167 


39668 


.1 


l°iv. 


OOB33 
ooS35 


^ 


99167 


% 








3E9I0 




7H04 


3973. 


.4 


70366 


ooBSi 






47 


14 
T5 




39!>3 






.^<,o 


]5 


70300 


ooB4o 




99.60 


46 
45 






9.a903( 




.0.70976 


9.39866 


16 


10, .0.34 


10.0084; 
















708 So 


3993: 




7ix)6t 


0064! 






44 


17 


29* 




391 5( 




?« 


iH 




ooe4f 






43 
















69S70 


006 5( 








!? 


=9« 




39377 




70733 






00853 


-|- 


99147 


41 
4^ 


10 29 10 




9.39340 




.0.70660 






10.OO855 














70597 
70534 




it 




oo85£ 






^ 












3o336 




6^673 


00S60 














34 




3o39i 


aS 


8S? 


0086: 






37 


34 

T5 






39S9, 




70409 




36 






99,35 


35 






9.3965. 


3h 


I0.-O346 


9.3o533 




.o.6947t 


lo.ooSet 




9.9,133 








39711 




70384 




3K 




00871 










.8 a. 






3H 


703a 1 






6934? 


0087; 














39841 






3o7.: 






00876 




99134 




'J 






39903 




70097 






6,3,8 


00878 




99iaj 


.3i. 






9.39966 


,ll 


10.70034 


9.30840 


.1^ 


.0.6,15^ 


10.00881 






Hi 








.13 


69973 




.« 


6908c 


0088; 






S 


13 


37 3( 


33 34 


a, 


33 

.14 


X 


30975 
3io4o 


36 




00886 




99-4 


is 










697B7 






Oobqi 




99105 


i5 




■ 3» 4" 




,Vi 




9.3i.6f 


38 


.0. 6883 3 


10.0089. 






Ifi 








.17 


69664 








00896 






34 


,1t 






3,^59 




696.,3 


3.39- 














.1M 












4> 


6857? 






99099 

99090 




^ 


j6 41) 


33 r- 


9.3o58i 


4i 


69479 
10.6941B 


3.435 


43 


0090. 


3 


— 




. 3J30 


9.3i48( 


a 


.0.685I. 


10.00907 




9.99093 










4j 






44 


6844!: 






^1. 


;s 


'I-* 






3..7o^ 


41 


Zt 




4'' 








ii 










3 167; 


41 




OO9K 




9908t 




44 
4- 










69.74 


3.74S 


47 




009.7 


-T 


9908J 


i5 




. 34 


9.30887 






9.3r8o6 






10.00930 






.5 5: 






4H 


69053 






68i3o 


0093; 




99C"« 


i4 












iE; 


3193: 




6806-; 


0093; 












34 34 






iX 














S 






3.13. 






6794. 


00930 






— 


10 .5 =<, 


. 3440 




5. 


10.68B.. 




54 




10.00,3. 






Si 
























1 


Si 


qS . 


34 56 


3i3,o 


54 


686?^ 


3aa4f 


56 






























^^ 


.7 


54 


M48 


35 13 


3,43o 


56 


68570 


3337; 


58 


67637 


OD94. 


1 


6 
"5 


10 34 4o 


. 35 =D 






I0.6H5.U 


9.3)436 


59 




n,.M946 






Sfi 






3,54< 




68451 


335^ 




67503 








A 


S-! 


s4 I' 






















'* 


M >( 


3544 


3.669 

31738 




6333. 


3363 = 


63 




00,5-^ 








■k> 


a4 f 


35 53 


li 


68373 


33685 


fi4 


67315 




.1 






M 


34 f 


36 


3n88 


65 


68313 


33747 


65 


67353 


00960 


3 


99040 


M 


Hnurp.- 


Hour*.«. 


Coiii«. 


i>:tr. 


Sefi...i. 


Coi»„g»m 


Itiff. 


Tiu.gei.1. 


Cosecanl. 


I'iff. sine. 



Second! of time | P 


2" 


3- 4' 


5> 


C- 


7- 


Prop, parti of cota. 


(c 





16 
16 


i3 3i 

»4 l3 


39 

40 


47 

49 


54 

&7 



H 


II«.rl.lf 


Hourr.-. 


»•«■ 1 


Diff 


C0«CBM. 


T«i6.n.. 


Diff 


C«ta„gcn. 


Sfcani- 


Kfl 


Cttiot. 


M 




10 14 


I 36 


9-31788 




io.6e^[3 


9.33747 




.0.67353 






9.99040 






33 53 


36 8 


3i847 




68,53 


338,0 




67.90 


CO961 




sloJS 


5 






33 44 


36 16 


31907 




68093 
68034 


33873 




67138 


0^,65 




99035 




3 


a3 36 


36 34 


31966 


3 


33933 


3 




00968 




55o3j 


57 




4 

-5 


33 38 


36 33 


3io)5 


4 


67975 


^3995 


4 


67005 


00970 




9903o 


56 
55 




.0 .3 >o 


. 36 40 


9.3io84 


~r 


'°%U^ 


9.3305- 


~5 


'"■X 


10.00973 




9.99037 




6 


i3 i« 


36 48 


"33.43 


6 


"^ 331.9 


6 


00976 




'990*4 


54 






33 4 


36 56 


33301 


7 


tit 


33,8^ 




66810 


00978 




99011 


53 




8 


31 56 


37 4 


33361 


8 


33i43 




66758 


00^8, 




990.9 
990.1 


53 




-? 


M4e 


37 .3 


33319 


_9 


676B, 


333o3 


_9 


66697 


00984 




5. 

5.. 




lo i» 40 


I 3730 


9.33378 




10.67633 


9-33365 




."1^66635 


10-00987 




3.990.3 






33 33 


37 38 


33437 




67563 


33436 




66574 


00989 




99011 


s 






31 34 


37 36 


iini 




67505 


33487 




665.3 


00991 




99008 




i3 


13 iG 


3744 




67447 


33548 


i3 


66451 


00995 




99005 


47 




i4 


11 8 


37 5a 


33613 


|3 


67388 


33609 


14 


6639, 


00998 




99001 


46 
45 






1 36 


9.33670 


14 


10.67330 


9-33670 


TT 


.0.66330 


10.0.000 




'Ps; 




16 


31 53 


38 8 


3373? 


i5 


67373 


^ 3373, 


16 


66169 

66306 


0.003 




44 




'7 


11 44 


38 16 


33786 


16 


67314 


i'^l 




oiooe 




98994 


43 




18 


11 36 


38 14 


33844 


17 


67156 


18 


66,47 


01009 


I 


M 


43 




!9 


31 18 


38 33 


33903 


18 


67098 


339.3 


-11. 


66087 






41 
4^ 






1 38 40 


9.31960 


'9 


iO.67040 


9-33974 




10.66016 






99S9M 








38 48 


3Joi8 






34o3. 




65966 


0.0.7 




96,13 


U 

37 




i3 


11 4 
10 56 


38 56 

39 4 


33075 
33i33 


33 


ele. 


34095 
34,55 


11 


65905 
65645 


0I013 




989II0 
98978 




»4 

is 


10 48 


5? .3 


33190 


33 


668ro 


34315 


34 


65785 


0.035 




5?7i 


36 
35 




10 30 40 


1 39 70 


9.33348 


34 


.0.66751 


9.34376 


I5" 


10.65734 


10.0,018 




9-98971 




a6 


30 3i 


39 38 


333o5 


35 


66695 
66638 


34336 


36 


65664 






98969 


34 




S 


1014 


3? 36 


33361 


36 


34396 
34456 




656o4 


o,o33 


1 


^ 


33 




10 16 


3944 


33430 




66580 


18 


65544 


01036 




96964 


3i 




?2 


30 8 


39 53 


33477 


iS 


66533 


345,6 


19 


65484 


01039 




W: 


3. 

3^ 




3o 




I 40 


9.33534 


39 


10-66466 


9.34576 


3o 


[o. 65434 


10.01043 




;:«5« 




3i 


1953 


40 S 


33591 


19 


664o? 
66353 


34635 


3, 


65365 


01045 




98955 


11 




31 


1944 


4o 16 


33647 


3o 


34695 


33 


653o5 


01047 




98,53 




33 


19 36 


40 14 


33704 


3i 


66396 
66139 


33 


65i45 


oioSo 




98950 






35 


,9>8 


40 33 


3376. 


33 


348,4 


34 


65,86 


oioS3 


-- 


Ps? 


16 

is 




10 19 30 


1 4o 40 


9.33818 


33 


10.66181 


9.3487; 


35 


10. 65 136 


lo.oioSe 


9.98944 




36 


19 i: 


40 48 


'33874 


34 


66136 




36 


65067 


0.059 




96941 


34 




is 


18 5t 


40 56 
4t 4 


33931 

33987 


35 
36 


^ 


352?i 


37 
38 


65oo8 


01063 
01064 




96^ 


33 




i 


18 48 


4l 13 


34^43 


37 


65957 


35III 


39 


01067 




?s^ 


31 




.0 .8 40 


I 41 30 


9.34100 


~w 


10.65900 

65644 


9.35170 


15" 


10-6483O 


10.01070 




9.96^^0 






4i 


18 33 


41 38 


34i56 


39 


35339 

3538^ 


4i 


6477' 


01073 




98917 


It 




4> 


181. 


4> 36 


343.3 


41 


65788 


43 


647'! 


01076 




98914 




43 


18 16 


41 44 


34168 


4i 


65733 


35347 


43 


64653 


01079 




,6,1. 


'7 




44 
45 


18 8 


4i 5i 


34334 


43 


65676 


354o5 


44 


64595 


0.081 




,6,,9 


16 
15 




10 18 


1 4a 


9.34380 


43 


10.6561O 


9.354C4 


is 


I0.64536 


10.01084 




9.98916 




46 


17 5i 


43 8 


34436 


44 


65564 


35533 


46 


64477 


01087 




9«9'5 


.4 




^l 


■7* 


41 16 


3449' 


45 


65509 
65453 


3558, 


47 


644.9 


0.090 




9691" 


,3 




4S 


17 36 


41 34 


34547 


46 


35640 


48 


6436i. 


0.093 




98907 






i 


17=8 


in 33 


346o= 


47 


6539B 


35698 


.^\ 


64301 


0.096 


4- 




'— 






1 4340 


9-34658 


"48 


10.65341 


9.35757 




10.64143 


10.01099 




5i 




43 48 


347.3 


48 


65187 


356,5 


5i 


64.85 






1 




5i 


17 4 


43 56 


34769 


49 


65a3. 


35873 


53 


64.37 


0..04 




9M96 




53 


16 56 


43 4 


34834 


55 


65176 


35,3, 


53 


64069 


0.107 




98893 






54 
55 


' 16 48 
,0 .6 40 


43 11 


34879 


5i 


65.3. 


35989 


54 


6401, 






98890 


6 
5 




1 43 30 


9-34934 


53 


io.65o66 


9.36047 


T5 




10.0.. ,3 




9.96887 




56 


16 3j 


43 18 


34989 


53 


650M 


36, o5 


56 




Olllfi 




58884 


4 




5t 


16 34 


43 36 


35044 


54 


64956 


36,63 


57 




011,9 




?a88. 


3 




58 


]6 16 


4344 


a 


55 


6490. 
64846 


3633, 


58 


63779 






98878 






59 


16 8 


43 5» 


56 


36179 


59 


6373T 


OM35 




9M75 






60 
M 


16 


44 


35109 


57 

aim 


64791 


36336 


60 


63664 


, 01.18 




9S71 


M 




H«.rp.M 


HourA.H. 


Cosi.K'. 


3«cani. 


CoiRngen 


DlfT. 


Tangenl. 


Coieonl- [KIT 









!• 


2- 


3' 


4* 


5- 


(f 


?• 


Prop, partirf coll. |b 


7 


.4 
i5 


V 


39 
3o 


36 
37 


43 
45 


So 
51 



p«,.ii<ei 


TABLE XXVU. 




~| 


9. 




Log. Sines, Tangents, and Secants. 


°\ 


13- 






c c lee"! 


M 


HcHirA.H 


H«arM. 


Sine. 


Uiffi- 


CoHtcant. 


T«ageau 


Diir. 


lounge.-. 


S«iuiu 


DifT. 


Co«na. 


H 

6n 






iH o 


353 1 8 




10.64791 


9.36336 




io.63fo4 


■ o.o„a( 





^.oRBia 


J 




i5 44 


44 i6 


\ 


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co«ffijit.|i»iff:] sii». 



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9.40743 


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5- 


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7" 


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0,78. 




W;.S 




13 


4<,« 






r4 












J.983II 




949 It. 


, 10 4" 


9-44905 


i4 


-s; 


9.46694 




,0, 53306 


-vj:^ 








10 4E 
















^ 




3? 4 




JS?? 


















».i 


11 A 


i« 


:4965 


46S35 


lb 


53,65 










a4 


48 48 




45077 


Ifi 


549'3 


4688, 


'9 


SJ,.9 


0.80. 


V 


9»H0 


35 






9.45 1 ao 


10.54880 


9.469>f 




10.5307a 




'S 






11 i« 
























t( 36 






5479J 


47031 














48 .6 


ir 44 


45a49 






4706f 




SaSe 


01810 
.018a! 




«,8, 




'i 






4ba9' 


~ 




47,,-: 






«.77 


33 


9 4S . 




9.4113. 






3j 


io.5a84o 












la a 




















^^ 


,li 


47 * 


11 16 




33 


5458, 


47a5; 


55 




0.83! 






X'. 


47 3t 


i» aA 


4i(6; 


a3 


64536 


rs 


3t) 


SsTOi 


o.83t 




981G3 




3S 


47 j8 


11 3i 


4550; 


a4 


54490 


30 


Sa654 


0.84. 




«,!, 


^ 




a. II 40 




15 


10.54453 


"Sis 






.0.0.845 




,.,8,Si 






11 48 




36 








"^'nt 








J- 


47 ' 


.» 56 




3fi 


5436(1 


474B< 




535 .e 








W 










543ae 








oi85t 








4n 


46 48 




45716 


18 


543&1 


47576 




S34a4 


01860 




,»,* 


— 


9 46 40 


I i3 >o 


9.45751 


1« 


I0.54J43 


9.476=3 


,^l 




10,0.86. 




,.«,» 


4l 




i3 lE 






?j;?? 


476« 


;t3 


53335 


oi86t 






'9 


Ai 




i3 3f 








43 


5a38e 






»!'"? 






46 16 




45885 


3i 






.i\ 


5aa4o 


01875 






44 
4^ 




l3 5i 


45937 


3i 




47806 




63,94 


0.B79 




*,„ 


i5 


9 46 


3 14 n 


9.45969 


In 


10.54..3, 


9.47853 




10.53,48 




:i 


n.(l.n 






i4 f 




31 


5398^ 


4789: 


:it. 


53, o3 


o,8B- 


:i 




'4 


4t 


45 4- 


i4 It 


46o5; 


31 






.Id 


53o57 


0189. 


.i 




.,1 




45 31 






IS 


2?? 




Saoii 






gSit* 




.19 
ST 




t4 3a 


46.36 


35 


-^ 


5,965 


0189B 




«,o. 


— 


9 45ao 


a 14 40 


9 4fil7f 


,36 


■ o.538« 


9.4R<^ 


'5,874 






). 98096 












53781 












ii 


















5,859 
5.783 






» 






j5 i 


463o: 


.)H 


536?5 


483,7 




019.; 






55 




i5 ia 


46345 


J8 
3q 


4836a 


43 




019.: 






5 


944 4o 




9,46386 


10. 536, d 


9.4831.7 


43 


,o.5.6»1 


10.0193. 










i5 aE 


46431 






4835: 




5,647 


0195^ 






4 










41 




48,l9( 


44 




^;s,3? 












iS 4d 


465,, 


4i 


53448 


4344: 












b<: 








4» 


4B48, 






0.93- 








M 








air 










0.9^0 






M 


Hnurr.H 


Hn«r...i. 


Cn-.il,.-. 


ScfOiH. 


Col«„gfn 


Ulff 


TanjenL 




Diir, Siue. 



SocoDdsofUme 


!• 


a- 


3" 


4' 


.">• 


6- 


7' 


(A 

Prop, puti of coll. B 
C 


5 
6 


■; 


;; 


a3 


39 


33 

35 
3 


37 
4t 
3 



3 


43 36 
43 i8 


16 34 




, 


53383 


4866;^ 


, 


5i33. 


0.953 


„ 


9M8 


57 


4 
1 


.6 3. 


46758 


3 






3 


51386 


0.956 





9?o44 


55 


9 43 it& 




9.46tkx 






9.4875. 


4 




.0.0.960 






r 










53.1 




4 


f.X 


0,96. 




980I6 


S.1 


1 
























4a M 


17 4 


469a: 


S 


53077 


s 


6 


5. .06 






» 


53 


_? 


43 4S 




4696; 


6 


53o36 




51061 


...nb 




5i 
5f- 


9 4> 4> 








.o.53„5 






lo.Sio.b 


'°:;s? 


















49039 
49073 




5097. 






J? 












5>9,4 




^r. 


01* 




980.3 






1744 


















47 




4i 8 


.7 5:. 


47168 


9 




49.63 


.0 


5o837 


.i„b 


I 9800S 


4n 










.0.5379. 






10.50793 


'°-o°:s! 






rl: 






4734^ 






4935: 










44 








47390 
4733o 






4939* 














T« 


41 3f 


.8 a4 




53670 




.3 










43 


12 


4i 39 


18 3i 


47371 


71 


5.639 


49385 


.4 
"."5 


5o6.5 


030l( 




97986 


4> 

4n 




a 1840 




,o.535e9 




.0.50570 










4i i: 






.4 


35548 














3, 




4i ' 




47491 




















11 


4o5( 


■9 4 




.■> 


53467 






50437 


03q3{ 






H- 


14 


4<. 4H 




47573 
9.476.3 


lb 


5a437 


4960: 


7r 


50393 


O3034 


3 




36 
35 


9 4'<4o 




,0.55307 


9.49653 


I0.50348 




































4o ai 




47bo4 
47734 


.N 


5a3o6 






5o36o 


O304t 






33 


]K 


40 i( 






53366 


4978- 




5o3i6 


oaoS. 




97950 


33 


I 


4o 8 


.,;.. 


4777' 


.9 


5«s6 


49838 


77 


50.73 




3 


97946 


33 


9 4i> 1- 








io.5j.S6 






.0.0305( 


















499'! 














.() 


39 4^ 


ao 16 


'^X 




51.0S 


499& 


34 


50040 


030« 








1.1 




so 3J 




53066 




'4 


4990 
49v5a 


03D7( 




97930 


37 


34 
35 


i,.8 


ao 3j 


4797' 


a3 


53oa6 


5™>4tt 


5i 
5G 
5fi 


05074 


3 


97936 


35 

34 


939., 
39 u 


3 aq 40 


9.4BOI4 

48o54 


33 

34 


'5i?4b 


9.501^3 
So. 36 


.0.49908 
49864 


03083 


■J 


J. 97933 
979.8 


37 

Vi 


3U Sd 


ao 56 
11 4 


M 


aS 


51906 
51867 


5oi8o 
503,3 




49830 


05(,9U 


3 


979'4 


33 


i9 
4o 


38 48 




48.73 


5b 


5i8a7 


5oj67 


3^ 


49733 


O309i 


3 

-T 


97906 


10 


9 3S 41. 




9.4831; 




.0.5,787 


9.5o3n 


.0.49689 


.O.0509t 


'SS 


4i 




ai a8 


48)5a 




5.74s 










3 


\t 


4i 


38 li 


11 36 


48595 


3K 


5.708 


5o39f 


.!. 




03. 0( 


3 




4a 


33 It 


ai 44 


4833j 




5.658 


5o44^ 


:h 


49558 




3 


» 


'7 


44 


38 t 




48371 


39 


5>b.9 


bo48b 


71 


495.5 
.0.49471 


oai,4 


3 
3 


il 








.0.5.5^ 






9.97883 


















49438 










4"! 




11 .6 


48490 


.li 


5.5.0 


5o6.( 


35 


493S4 




3 


97874 


<:i 


48 




aa a4 


485^9 
48566 


3j 


5.471 


5u65o 
5o7(i3 


3S 




oai3< 




97870 




49 




93 3a 


33 




36 






•> 




II 










■|.( 


-?;s 


y.5o74f 


37 


.0.49354 


.0.05. 3n 


3 


9.97861 














t^^? 




493.1 








2 


^J 




la 56 


48686 


.l-i 


5.3.4 




49.67 


03 1 4- 


3 


97853 


•j 




13 4 


4S75 5 


3=i 


5.375 


5087* 


39 


49154 




4 


& 


7 


f. 


36 48 


aj 12 




36 

37 




io9,( 


40 
40 


4^8, 




4 


■5 


9 36 4< 


1 j3 ao 


0.4B80; 




S.50963 




'°::;S 


4 


















4 






S7 


36 14 


a3 36 


48881 


■tN 


5, ..9 




43 


03i6; 


4 


97833 




hH 


36 11 


a3 44 




39 




'ai 


43 


489.>8 
48865 


0317. 4 


97839 




^ 


3S : 


S3 5a 


» 






43 








36 . 


a4 




51.K.3 


5X178 


44 


4883 5 


03.79] 4 1 97831 




M 


HourP-M 


IlniirA-M. 


Co.i.w 


Diff. 


Se.-B.il. 




■KIT. 


Taiig^iiL 


CosefRai.|l)iff.| Siiie. 


H 



Second, oftiroe 


!• 


2- 


3" 


4" 


5- 


6- 


?■ 


Prop. firt. of «oU. | B 


5 



.0 


i5 

17 


30 


35 
38 


33 
3 


35 
39 
3 





























1 


ll«irA.H 


Hour PH. 


Siuf. 


Diir 


Coaecam. 


T»,.ren.,|Diir, 


roumgBrt 


S««.l- 


CHfr. 


CMine. 


M 




5 34 '. 








9.5M7B 


10.48833 




















5.3.,| , 


Ss 


03,8; 




97H.7 
























SH 






34 34 






50885 


5,3ot; 3 


48694 








57 


-5 




14 3, 


49^53 


J 

— 


5o8i7 


5.34. 


3 486^. 


03,9« 





97804 


55 




a 34 4D 






-t\% 




■0.48608 


,0.O330O 












493J1 






4 


















493o( 
















^'^''li 


53 






a5 d 


s 


5o653 


5i53( 


f) 


48480 






53 


-V 




35 13 


493i: 


b 


5i563 





48437 






97784 


5. 

So 


934 4U 


3 35 JU 


9. 493^5 






9.5.606 




.0.48394 
48353 












35 sB 


494" 




5u57C 




K 


03335 






S 


i3 


n-i 


35 36 

35 44 


49463 


8 


5o53H 
5o5i» 


51734 




4S^ 


0333: 




97771 


75 






49539 


9 




5.77f 




4833i 


03337 




97763 


46 
4S 


934 


1 36 






io.5o4iJ 


9.5.8.5 




10.48.8, 












3G 8 






5o385 






48.39 


03a4( 






4'! 






36 re 












a 


0335< 














n 






5.94< 




0335! 








IV 






73 


50370 


5198B 


.4 


4801 3 


03358 




9774. 


4< 


933.0 


J 30 40 


9.497(Jt 




9.5..0I. 


io.479'>9 






9-97736 


« 


33 4 


36 48 
30 56 




i4 


Su.oi 
5o,5ti 


53073 


i5 
.5 


47»65 


03366 
0337. 




9'73? 
977^5 


S 






37 4 


4968: 


>4 
















j5 






499)0 


ifi 








47B.0 


0337; 


-|- 


97731 


i5 


93=40 










T0.O33B, 










Si 




5oc«4 








01387 
























0139; 






n 






37 44 






4y9'S 








03)9( 




9770^ 


.(3 


g 










49^9" 




^ 


47590 


10.O330 


-T 


977.« 


lo 


93, 




9.5oMt 




9.5345, 












4981 5 


5349^ 




475i<i 


O33o< 




9769. 


;2 








5o23; 




























49739 








033 -? 














5039B 




497"' 




34 


47380 


oa33. 




9767; 


3b 




93. « 


g 38 40 


9.5,>3J<> 




io.i9(«4 


9.53661 


94 


.0 4733;; 






^.9767^ 




















47397 


o333i 






31 












49589 






0333. 






3.1 








5('449 




49^5. 








0333) 








4o 




39 ,j 


5o4«ii 


15 


49514 




^7 


47r7i 


0334: 


T- 


97057 


rc 


9 3j 40 








9.5.8,, 




















5;y.: 




47088 


oj3i. 




KSI^ 


:t 






3931; 


5c-59( 




49 i"' 


5395 






03355 












M 


49lfi5 






47005 










44 

45 






5of>73 
9-75::?;.. 


38 
38 


4v3.7 




3i 


46tfi3 


0.36, 




97636 


■ 5 


9 3o ( 


a 3o 


10.49JW. 
49^53 


9.53o:l 


.0,46^.3 


IO.OJ3O0 


3 






395; 




5'>7i: 








46S&. 








'A 




.9 4- 




5r.7b: 




49116 






46839 
































976.9 
976.5 




49 
5.1 






5.«5S 


3i 


49i4' 


53.4: 


3i 

3^ 


46746 


03385 




T7. 




3 3.. 4" 






Q.53.8-, 


.0.467.5 










19 1: 














46673 


0339: 






g 




\t^ 






il 




5336) 


■Ki 


















»' 






a: 


0340: 








55 


MA^ 




5 1043 


J4 

1=1 




3a 


03407 




97593 


6 
5 


9.8* 






10.4B9'" 


53,n> 




.0.465.* 


l0.O34li 


4 












■IS 






39 


46467 


034 .( 














5ii5 


■lO 




5357. 




















5,10, 


3; 


4BS<^ 


536.5 


41 


46385 


0343. 




97576 














5365( 














M 










48736 


53097 


43 


463o3 


oa43'l 4 


97S67 


M 


Hourr.H 


llourA.M- 


CosilH-. 


[>iir. 


Secaiit. 


Co.a.ige.ii 


Diff 


Tonxenl, 


Co»cBiii.|DilT.| Si.B. 



aecODd. of time l- 


a- 


3- 


4- 


5- 


6- 


7" 


(A 5 

Prop. ]Hrtaofcol». / B 5 

(c 1 


9 


■ 4 
16 


'9 


34 

36 

3 


38 

3f 

3 


33 
37 
4 



^"^ TABLE XXVU. 




*'■ Log. Sines, Tangents, and Secants'. 




19° A A B B 


C C 160* 


M 


H«irl.lf 


HcwrF.N 


;%M. 


Difl- 


Coiecaiit 


Tangen.. 


DiH- 


Coiangcnl 


Serimt. 


Diff 


Cotine. 


H 


,*A o 




9.513& 


10.46736 


'i^l 




■D.463o; 






9.97567 






3i i 






4869s 




46a6; 


0343' 






^ 




37 4. 














46331 


oa44i 




97558 


■i 










486ae 






4fiiSi: 


oa44( 








i 

1 


37 i-t 






a 


48589 






4fii39 


oa45o 





97550 


5b 

55 




3 3i*. 


9.5.447 


.1 


,0.4855; 


9.539-.. 


.i 


"*'4fc?7 


.0.03455 






(i 


)7 :: 


3a 48 




4 


485.6 




4 


03459 




97541 


54 




17 . 


3a 5t 




4 


48480 


5398- 


t, 


4(«.6 








5.1 


a 










4844; 


54oa! 


^ 


4597^ 


oa46( 






53 


-? 




a 33 ao 


5.59J 




48407 


54o65 





45935 


oa47a 






5i 


y26 4" 


'1;^ 




10.4837. 


9,54.06 




10. 458^4 
45853 


.o.oa477 








a6 3: 


33 aS 




4833-1 










97519 
975.5 


1? 




a6 i< 


33 36 




7 


46aX 


54.8- 


b 


458.; 


03485 














54ja( 


9 




03490 






41 


<4 
■ 5 










4833t 


54j6i 


V 


4573. 


Oa49. 




975o£ 


45 




3 34 o 


9.5>Bi, 


.0.48.89 
48.53 






10.4569. 
4565o 


'"■^l'^ 


1 






















44 








5i88- 






5«9> 
5443, 










vx 






i5 3< 


34 M 


5.919 




4808. 




455C9 


035,1 




4a 


|V 




34 3a 


b.9bS 


II 


48045 


544-J. 


■ 3 


455=9 


035 16 




9743^ 


41 
40 


9.5 su 


3 34 4" 






lo.jBiioo 
47973 




.o..a5q8t 


IO.OJ55, 




'■^n 
















4544? 






S 




25 . 


34 5t 


5>o6: 


.3 


47937 


54593 
54633 


,5 


45407 


oa53o 




97470 








^^:?^ 


















i5 


i4 4B 




14 


47865 


54673 


16 


45317 


03539 




9746. 


36 

35 


9 j4 4o 




9.5an. 


iS 










io.oa54: 












5aao: 




?x 






45a4t 


oa54: 




9745i 




a? 






5334: 


















j8 


34 It 


35 M 


5a37( 




47711 


548^5 


19 


45.65 


a3S5t 




9744^ 


3a 


■•9 

3o 


34 8 




5>3.< 


17 




54B75 


'9 


45 135 


0356i 




,97435 


3i 
3^ 


9^ o 


a 36 o 


9.53350 




10.47650 






,o.45o85 


io.oa565 
















47615 


. 54955 




45045 


oa57( 






It 














?S 




45oo 


oa57. 




















4496I 


Si 




V74ai 




35 






Sa493 




475i>8 




IT 


449=5 




97417 


^ 


,33 3* 


3 36 40 


,.5aV.7 






9. 55.. 5 


10.44885 


io.oa58( 


3 


















34 


44845 


03591 




V740J 










536^4 




4740a 


55a35 


S 


448o5 


oa59^ 




974oi 












47366 


44765 










4" 


33 4t 




5366; 


33 


4733. 


55a75 


aO 


447' 5 


O36of 




973« 


— 


9 33 4. 






.0.47=95 
47a6o 


9.553.5 




.0.44685 


10.03G10 


3 


'■r^t. 


41 








a4 


55355 




44645 






\t 


4= 


13 3i 


37 X 




35 


47a a5 


55395 
55434 




446<i5 








4J 


33 It 


37 44 




3ti 






44566 


036 aj 




97376 




J5 










471 5i 


5547' 


39 








97371 


t5 


9 aa t 




9,5ali8i 


'7 




<,.555k 




10.44486 


io.0a63: 




9.97367 














5555:1 












t4 










aH 




55593 
55633 




44407 


oa64: 




<n358 














470.J 




44367 










s 


31 3( 


38 33 


53oai 




46979 


5567^ 


33 


44337 






97349 


To 






9.53u56 


,1o 




C.55,,3 


33 


.o.44a88 


io.oa65C 
















46874 


5575. 


34 


44a48 






.W34a 


? 












t^iv, 




44ao9 










30 5* 


39 4 


53.6. 


3a 


46839 


35 


44.69 


oa66s 




9733. 




55 




39 T3 








55870 






0367. 




97336 


-5 




3 3,30 


9.53i3i 


33 




,.55„,„ 


10.44090 


l0.O367f 










39 38 






46733 


ssiis 












5S 


ao >4 
ao i6 


3944 


53336 


^J 


» 


rf 


39 


jc; 


03693 




& 




•y) 




3953 










39 


43S93 


03691 








M 














Diff. 








M 


Hnurp.M. 


Hour A.M. 


Cosine. 


Dlff 


Swanl. 


Co«..ge.n 


Tgnseni. 


CosBMnl. 


Dir. 


Sine. 



Second! of time 


!■ 


a* 


3- 


4- 


5- 


6. 7-1 


Frq>.pMt*ofcaU. 


{■ 


4 

5 


9 


i3 
i5 


18 


35 

3 


37 

3o 
3 


3i 
35 
i 



M 


Haurt.«. 


HOUTP.B, 


Snie 


Diff 


.0.46S95 


Tani-o,,!. 


Diff 


Colangcnl 


9«»ii. 


Diff 


Cosine. 




1 40 


,.534o5 








'43854 


,0.0170. 


p.973991 






40 a 




















40 ,t 


53475 




4651 5 












^a 


1 






53509 




4649' 
464'6 












^ 


19 at 


40 33 


5354. 














9.97376 




a 40 40 


9.53571 




10.4643) 


9.563o; 




■°» 


io.o>7ii 












■1 








0371; 








•9 4 

.§56 






4 




56381 




43619 






97366 






1.™, 


^ 
















-? 


18 4f 




537] 6 


5 


46)84 


5645, 


6 










9 1840 




9.53751 




10.46349 


'■SIS 


1U.43505 






9,9735; 






4l 3t 




li 




43463 












4t 36 








56571 










97143 


1- 


18 16 




5335; 
















97338 


7^ 


18 6 


41 53 


53881 


B 


46111 




9 










^>fi - 




n 51.,, 




io.46o7fl 






.o.433,.7 






f. 97339 


it 






5^05. 












0377( 






',1 




4j 16 


■iloo 




4'3™ 
45975 






43315 








17* 




Srfoa^ 








43i5ii 








19 


17 38 


41 3i 


54o5( 


ir 


4594. 




11 


0179' 


V 


1 97"o 
9.97106 




a 43 40 






10.45907 


9.568H7 


iJ 


10.431 i3 


10.0179^ 






















97101 




17 ^ 


43 56 


S^.fi, 






5696! 


14 










1 








I.I 


458o5 


5700, 




&. 






97191 
97.67 


^ 




43 .n 


54"g 


14 


45771 












,43=" 


9.5436: 




.0,45737 




It. 


10.439.9 

4i6Bo 








11 






5^>m 


iS 












97.78 






43 36 




iS 














97.73 




iG 11 


43 4i 


54365 


i5 


57 '9: 




43803 


0383; 




97.6S 


39 


16 ; 


43 53 


54399 


j6 


456ni 




19 


41765 




X 








O.W 




mM556. 






FO.41716 


I0.O384. 




■ti 












5731; 




















iH 


45500 


57351 




43649 






97149 
97.45 












45466 


5?43( 










^ 




44 3a 


545(>7 


19 


45433 




4i57i 


lo.oiBbS 


4 








o54ft>, 




■°-i^ 


9.57466 


33 


,0,4=534 


), 97.35 
















43496 
43457 


03871 




97i3o 


i; 






5466t 




45331 




34 


03871 




97116 




i4 5e 


45 A 


54701 




45398 
45i65 




14 








97.3. 


J9 

:10 


>4 48 


45 la 


54735 


■^ 


5761, 


35 




o)884 








3^Wo 








3H 




10.01889 
o38gI 






41 


'143= 






3,( 


4519S 
45i64 


a 


ih 


4i3o4 




97107 




14 ». 






14 










97101 




i4 11 


45 M 


54^ 


a4 


45i3i 












97097 


44 
45 


14 8 


45 55 


15 
"55 


4io97 


57810 


lU 


43I9> 


02908 




97091 


9 i4 c 


a 46 


9.5495( 


,o.45r/i4 


9.57849 






10.039.: 




9-97087 






46 a 


55oo; 


ifi 


45o3i 




















3h 


1&Z 




lo 








97078 












5796; 






0193- 






s; 




46 31 












4199s 


03933 


-f 






3^40 




iH 


'°448§4 




3-. 


■0.41961 
















5807: 


M 


nii 


0194. 












55169, 




44831 




,H 












47 4 






^t 








0395. 






55 


1M8 


47 13 


55335 


3o 
li 


5819. 




41809 


039S6 




97044 








,»,«,!, 




.IS 








;.97o39 
970.35 












» 




M> 










la a- 












ffl 






97o3o 






47 44 






44633 










97015 


S 


13 t 


47 53 




31 


44600 


5838c 




41610 






97030 


U 


11 




5543; 


34 
DiS-. 


44567 




39 


4i583 


03965 




97015 


Hourrji. 


H0U[«.M. 


CoSiD.'. 


Secuil. 


Coiangen 


Diff 


Tangent. 


Coseca.ni.|Diff. 


Sine. 



Seconds of time 


1" 


a- 


3" 


4- 5" 


6" 


7- 


Prop.p»rUofcoLi.lB 

(c 


4 

5 


8 


i3 

14 


'9 


14 
3 


35 

=9 
4 


3o 
34 
4 



M 

6 

I 

9 

■ 3 
i4 
i5 
i6 

Is 

11 

93 

34 

36 

'i 

ll 

35 

33 
34 
3S 
36 
37 
38 

1 

4' 

43 

43 

44 
45 
46 
47 

48 
49 
5o 
5i 
5i 
53 
54 
55 
50 
5? 
58 

M 


ll«iri.H 


HcrP.N. 


s;«e. 


DilT 


CosefRiil. 


T-i«.n. 


Dim 




Secaql. 


Diff. 


Cosine. 


1 

u 

55 
54 
53 

53 

5. 

1<) 
48 

il 


11 44 

II 36 

II 3B 


»48 o 
48 8 
48 i6 
48 34 
48 33 


9.55433 
554661 

55564 

55663 
55Q95 
557=8 


~ 
3 
4 
4 
5 
5 
6 

7 


I0.44567 
44534 
445oi 
44468 
44436 


9.58118 
58455 

58569 


-5 
4 

5 
6 


.o.4.58> 
4 1545 
4.507 
41469 
4-43. 


0,990 
03995 
0^999 


I 


9.970.5 
97010 
97005 

'!» 
9697. 


9 II 3U 

u 

10 4S 


3 48 4ii 
48 48 

48 56 

49 4 
49 Ti 


.0.44403 
443™ 
44337 
443o5 
44373 


58644 
5868. 
587.9 
58757 


.0.4.394 
4i356 
4.319 

4-381 

4.343 


o3o.4 

0303^ 


'EH 

■ o 8 


3 49 1Q 

49 5a 


9.55761 

as 

55858 
5589, 


10.44339 

44307 

44.74 
44143 
44109 


58869 
589„7 
589i^ 


6 
7 
9 


.0.41306 


o3o3B 
o3o43 
o3o48 
o3o53 




,.96,«, 
9696, 
96957 

96947 


y 44 
936 
9 38 


3 5g o 
5o 8 
5o i6 
50 34 
5o33 


9.5S933 

^55956 

55988 

55^3, 

56o53 


9 
9 

i3 


10.44077 
44044 

440 13 
43979 

439^7 


9.58981 
59or9 
5905b 


9 

.3 
t4 

.5 


'40981 
4o9« 
40906 
40S69 


io.o3o58 
o3o63 
o3o68 
o3o73 
o3o78 


1 


9.96941 
96937 
96931 
96917 
96911 


44 
43 
43 

4r 
4o 

37 
36 
35 
34 
33 

33 

3i 
3o 

36 

3l 
34 
33 

'9 

75 
i4 
i3 

1 

6 
"5 
4 
3 


M 


9 9'" 

i" 

8 56 
8 48 


3 50 40 
5o48 

50 56 
5[ 4 

51 13 


"^56,18 
56i5o 
56185 
5631 5 


'°'43H83 
4385.. 
438.8 
43785 


59143 

S3., 


io.4o832 
40795 
40757 
40730 
4o683 


o3o88 
03093 
03097 

O3l02 


9.96917 
?«9ii 
96907 




3 5l 30 

5[ 38 
5i 36 
5i 44 

5r 53 


563i; 
56343 
563:5 

?:56r5 

56440 
56473 
565o4 
56536 


14 
i4 
i5 
16 
]6 

17 
18 
_[8 
19 
'9 

33 

34 

34 
25 
35 

36 
36 

37 

38 
39 

5? 

3o 
3i 

33 
33 


.0.43753 
4373. 
4:1689 
43657 
43635 


,.5,M4 
5939. 


.5 
lO 

18 
'9 
'9 

33 
33 

34 


.0.4.646 
40609 
4057T 
4o534 
40497 


I0.031O7 
o3ir3 
o3ii7 

03l31 
03137 




968S3 
96878 
968,3 


7 If 


3 53 O 

53 8 
53 i6 

53 34 

53 3i 


'43560 
43538 
43496 
43464 


9.59540 
5y577 

S?65, 
59688 


10.40460 
40433 
4o386 
4o349 
4o3i3 


03.37 
o3i43 
03.47 
o3i5j 




'■^63 
96858 
96853 
96848 


9 7 10 

6 56 
6 48 


3 53 40 

53 48 
53 56 
53 4 
53 13 


9.56568 

isi; 

56663 
56695 


,0.4343. 
43401 
43369 
43337 
433o5 


9.5,7-5 
59871 


.0.40275 
4o338 
40301 
40 .65 
40.38 


o3i63 
03.67 

03l73 

03.77 




9.9fi843 
&838 
96833 
56838 
96833 


9 6 4oi 
6 33 
6 34 
6 i6 
6 8 

5=8 


53 38 
53 36 
53 44 
53 53 


9-56737 
56759 

56854 


43341 
43310 
43178 
43.46 


"US! 
5I983 
60019 

6oo56 


3b 
35 

36 
37 


10.40091 
4oo54 
40017 
J998, 
39944 


03.87 
03193 
03197 

03jo3 


96S13 
96808 
96803 
9679B 


3 54 o 
54 8 
54 .6 
54 34 
54 33 

3 54 *> 
54 48 

54 56 

55 4 
55 ,3 


0.56886 

'569.7 

56949 

5701 = 
9.57i)« 
57075 
57107 
57-38 
57.09 
9.57301 
57333 
57364 
57395 
57336 
57358 


.0.43.14 
43o83 
43o5i 
43o3o 
43988 


60166 

6o3o3 
60140 


38 
38 

3o 

-JT 

3. 

33 

33 
33 


39834 


'o3315 

o33i7 

o3333 


1 


96783 
96778 

9677= 


5 4 
4 56 
4 48 


[0.41956 
43935 

4283J 


9.60376 
6o3.3 
60349 
6o386 
60433 


10.39734 
39687 
3,651 
396,4 
39578 


.0.0333* 

03338 
03343 
o3348 
03353 


9.96767 
96763 

?6757 
9&753 
96747 


4 8 
4 o 


3 55 30 

55 38 
55 36 
55 44 

55 55 

56 o 


43736 
43705 
43674 
43643 


6o535 
6o56S 
6o6o5 
6o64i 


34 
35 
35 
36 
36 
37 


10.39541 
39505 
39468 

393?9 


i^3j63 
03368 
03373 
03378 
o3383 




9.96743 
96737 
96733 
96737 

96717 


Hourp.-. 


HOUTA.U. 


CcBbe. 


DiflT 


S«a.iL 


ColBi^eirt 


Diff 


T^isem. 


Cosecaiil. 


Uilf 


Sine. 



Seconds of time 


!■ 


a- 


3" i- 5- 


6- 


7" 


(A 
Frop. parts of cob. < B 

(c 


4 
5 


I 


13 16 io 

14 19 '3 

3 1 1 1 3 


34 
»8 
4 


3B 

4 





























H 


Hour A.M. 


Hourpjf. 

a56 o 


Sine. 


IBff. 


Co«e»Bni. 


TwRenU 


Diff. 


:c.uu,fr™t 


Setsni. 


UlT. 


Coiina. 


M 










9.6064, 




•°t^ 
























o3i8c 






s 


























3 


3 3t 


56 14 


57451 




4.5.1 


6075. 




39150 










4 

1, 














391,4 






96696 




9 3u 


156 40 


,.575.. 


.1 


,o.4i486 


9.608.: 


3 


,0.3,,77 






'■& 
















4 


39,4, 
















4 




4 




o33n 








_2 


3 56 

a 48 


57 4 
57 u 


57607 
57638 


4 

5 

-5 

6 


4s36i 


?^7 


6 
5 


gS 


03334 
o333o 


; 


96676 
96670 


5i 
5, 
55 

t 


' \t. 


57.8 


9.5766^ 
577"0 


4i3oo 


'» 




-?« 


10.O3335 
o334o 


; 


"S 












4"3a 






38888 


03345 


1 1 66655 


1.1 


a It 


57 44 


5776; 




6rr,i 


H 


o335o 




96650 




i4 
75 


a I 


57 5:. 


57795 




4il07 


6,,4B 


H 


3885J 


03355 


1 


96645 


46 
45 






9.57B1- 




■0.41176 


9.6,, B- 


ro.388,6 


io.o336o 
























o3366 












58 i6 


5788; 




411,5 


6,i5( 




38744 


o337. 




96629 


1H 






56 14 


5791* 




41084 


6119: 




387<« 


03376 








1^ 


1 iSt 


58 3i 


57947 




41053 




-li 


38671 


o3i8i 


1 


9W,,9 


il 




a 58 4.. 


,o.4icai 


9.6,3o< 


.o.3»636 


X0.O33B6 


















































03397 




9660; 




1.1 


o a 


59 4 










14 


3S5i8 




v659t 


1-- 


j4 

is 


o48 


5, ,. 


58IOI 






,4 


38493 


o34>7 




9659: 


36 
15 




1 5c .„ 


9.5ei3i 




'"ilia? 


9.6,54. 


iS 


io.3845b 




1 




















034, f 






iA 


37 


O J. 




58, 9; 




4r8oa 




,6 


38385 


o34i; 




96577 


M 


iB 


O l< 






i4 


4<777 






3834s 


o343( 






,1i 


39 

3o 




b9 5i 


58553 


"F? 


41747 




"iT 




0343: 


3 




J. 
In 






9.5B,fi. 


,0.4.716 


9.6,71, 


.0.38.78 


io.o341f 


3 
















6,75t 










96556 


't 




59 4. 










6' 7?. 










,655, 






o 14 














0345. 








M 
35 


59 =« 


o 3j 


584-6 


";b 


^. 




3i> 




01459 


3 


9654. 


^ 


8 59 1. 


3 4.I 


0.5H4.V 




-liK 


10.O3465 


3 






59 ,; 














o347o 




965.1,, 




J7 


^4 




5849- 






6.971 










965.5 


l.f 
















s?i; 










J9 

4o 


58 48 




58557 




4,443 


6ao4J 


aJ 
ij 


o3486 


3 
T 


965ij 


iT; 






9.5e50t 




9.6^079 


,0.3,9.. 






4i 


















o345( 


4 


,65.,^ 




41 


















o35o; 


4 






4J 




r 44 


5867t 




4,311 




16 


378,5 


o35o7 


4 






44 
45 


■or-3 


1 5i 


Wto^ 


71 


4,19' 




16 


37779 


o35,a 


4 




.5 




10.4,56, 


9.61356 




.0.035,7 


4 








5876^ 












o35.; 


4 


961T7 




47 






587W 




4iaO, 








o353i 


4 


964^= 






57 3t 








4,17> 






37638 


0353: 


4 


9646. 




5o 








*^ 




61J98 


■'9 




{13535 


4 


9646, 


— 


8 57 1. 


3 , 4.. 




10.41,,, 


9.6.43; 
















bH9n 










3753a 


o354s 


4 


9645, 


2 


















K» 


03555 




96445 














63539 


.13 


0356.. 


5 






55 






59<:o^ 


Ifl 


40991 
,o.4"96. 


6357. 


3i 

:iT 


374.0 


03565 


5 




- 




3 3 3C. 




''6164? 


.0.3739. 




5 




57 


5fi 14 


3 36 


a 




4093, 


34 


37330 


03576 
o3S8. 


5 


964>3 














617,5 


.15 




03587 


5 














4q54j 


6375< 


^'i 


37150 


03593 


5 






M 






59,88 




4o8,i 


6178! 


36 


371 r 5 


0359: 


5 


964o3 


5 


lluiirr.H 


HourA-M. 


Cosiw. 


Diir. 


Seraat. 


C<Ha„g«. 


Dig 


T»geM. 


CmmuiI 


Diir. 


SilM. 



Seeonda of time 


!■ 


2* 


3* 


4' 


5-1 6- 


?■ 


(A 

Prop, puts of coif. I B 

Ic 


4 

4 


8 

9 


i3 


■ 5 

18 
3 


'9 

3 


13 

»7 

4 


a? 
3i 
5 



PigeaM] 


TABLE XXVII. 




S'. 


Log. Sines, Tmgents, and Secants. 


0: 




A A B B 




M 


HourA.« 


Hourp.N. 


Sbe. 


Diff 


CoMcanl. 


T«««,U 


DilT. 


^oianjrenl 


Seranl. 


Diir. 


CosiiR. 


M 


B W c 


.1 4 


9.5viB( 


10.^08 13 


5.63785 






10.03597 






6n 








Vi 




40783 












0397 








4 if 






40753 












^t 


SHI 


.1 


55 36 




5,,r 




40733 






37110 


o36r; 




f.7 


4 
1 










4.*93 






37074 


io.o36i4 


-^ 






3 440 


9.f.933b 




,0 4-^1 


9.63961 




TO. 37039 


9.9(^376 


55 


t\ 


55 1; 










ss 




37004 








'.4 






4 56 


b^iflt 






4 








96365 


SH 


« 








4 








3^99 






9fi16o 


5i 


_9 








4 

~5 


4o545 




~fi 


.o.o365i 


v 




5. 










9.63i35 


10. 36865 










5951' 






63 170 




3583o 






96343 


1? 














633o5 




36795 






96338 








i<)i7^ 
















96333 




i4 






i96o> 




4039S 










~ 


96337 


45 


8 54 ■ 




9.5963. 


7 


io.4o3iiS 


9.63310 


9 


10.36690 
36655 


io.o357i 


9.96333 


ih 


51 5; 


6 8 








6334; 










41 




53 ii 


6 .6 


59<W 




4o3,2 






3663 1 


03695 




963,. 


4' 


iM 




6 34 


b97K 










36586 






4i 


19 






9.59770 


_?_ 


4..151 


63449 


.1 


36551 




-^ 


96300 

'■a 


4. 


8 51 M 


3 6 40 




9.6348. 






,o.&i^u 




53 i: 




59&.t 






635-9 
63553 










« 




53 i 


- 6 56 


59S37 




4u.63 




36447 








1! 












63581 










9637B 




14 

7s 




7 '1 


b9S9^ 


TT 


4o.o5 


63633 


u 


36377 


03737 


-^ 


96,73 

9.96367 


35 


8 5i 4< 






10.4.HJ7O 




■ 4 




.0.0373; 




5i 3: 


7 38 




.3 




6369: 


.S 


363oa 


o373t 






3.1 




5j 1. 


7 36 




i3 




6373t 


H> 


36374 


o374:^ 






a 


iN 


5i i( 


744 




14 


39988 


63761 




36)3; 


03749 
03755 






J3 


s 


5i 8 


7 5i 


fioo4i 


14 
75 


39959 


63796 


'7 


363u^ 


__ 


96,45 


3. 






10.39930 


9.6383.. 




.0.36,7.. 


10.0376. 


?.9634.i 


1. 


5i 5a 
5l 44 


S 8 
8 16 


60099 
60118 


;? 


lx; 


63855 


iR 


36.35 
36.01 


03766 


3 
3 


96334 
96339 


It 


13 


5i 3f 


8 74 


6.H5-; 


16 






36I-66 




3 








5i 58 


8 3j 


&>i8G 


lb 


396^4 


63968 




36o33 


037H3 




96,. 8 


36 

35 




3 8 4.> 


9.6oai5 




9.6400: 




'°i;s5 


io.o37afa 


























96307 


3.1 


















'S. 






















64.01; >3 






96196 




^9 


50 4K 




6..331 


<9 


64.4.. 


13 


o38io 


4 


9fi'9" 


— 


8 5.. 4. 


3 ,.0 


9.603 J9 










10.35B35 


lO.oJB.'. 


4 


..96.85 


i\ 










64300 

64W3 


34 








:t 


'!•' 


i. 1. 


,36 


5o4'7 




39583 


34 


35757 


o3836 


4 


96,74 






















4 






44 
4S 


So 8 


9i. 


6047; 


31 


39536 


643(5 


3b 


35688 


03838 


4 


96.63 


.6 

.5 






9-605.1- 










10.35654 


10.0384: 


4 






495. 














356.0 


o384( 


4 


96151 


M 


47 


49 4< 










644i: 








4 


96.4fi 








10 ij 


60616 






6444s 








4 






49 


49^8 


10 33 


34 


39383 


64483 


38 


35517 


03865 


4 


96.35 


li 


8 49 >i 


3 ,0 4" 






9.645.7 




10. 35483 


[0.0387. 










10 48 






39335 






35448 








I 










iS 


i^^ 


645Bt 










96,, 8 






II 4 






6463< 














5i 
^1 


48 48 




60761 


j6 


39339 


6465, 


3i 


35346 


03893 


5 


96,07 


s 


8 48 4'. 


3 .. 10 


'■as 






9.646M 


33 


10.3 3l3 


'"'S^ 


5 












39183 


"^647" 




3376 




96095 


4 


37 






6o846 


iH 




6475f 




3:344 






t^. 








n 44 


60875 


jH 


39135 




















60903 




a 


648)< 
















48 n. 




6093. 


«9 


64858 


35 


35 143 


o39»7 


6 




M 


llnurP.H 


H™r*.». 


Coatiw. 


Diff. 


Sernia. 


CoUUIgBllI 


Diir, 


Tw,ge..i. 


Coserani. 


Diff, 


Sine. 



Second* or time 


!■ 


a- 


3" 


4" 


5" 


6- 


7- 


Prop.pMUofool.J B 


4 
4 


7 
9 


i3 


i5 
3 


:8 
3 


16 
4 


a5 
3( 
5 





TABLE XXVII. 


[Fwacra 




S' 


Log. Sines, Tangenig, and Secants. 


G'. 




M" 


A A B B 






M 


Houn.H 


MOUTF.H. 


Siue. HilT. 


C0tMB.lL. 


■r.«g«n,. 


IKmCMaiiEcnl 


Spcanl. 


Diff. Cosine. 


M 

60 




8 48 o 


3 11 o 


,o,3<^ 








9.96073 






47 5i 


11 e 






64691 
















11 le 


6098S I 


ti\ 
















1 


47 36 


11 14 








0394- 










4 


47 If 


11 3i 


61045 


^ 


38955 


6499^ 


1 35o<* 
3!io;3497i 


03950 







55 




fl4-i. 


n fi..n-- 




.r. 36017 


9.65oa6 






9.96(^5 




fi 


47 11 


■ 1 4« 






38895 


















s 




11 56 


s;:s 




38641 


SH; 


4 


.X 




; 


96018 


5a 




-2 


46 4* 


i3 >] 


61186 


~ 


366M 








039.8 




9<.>13 


5? 




8 46 4" 


1 ,l,o 


9,6i3i4 


10.38786 


9-65 107 
65iii 






,o.039«; ■ 


9.96017 












^ 


3875fl 




34735 






3^ 








i3 3G 




(1 


38730 


65i65 




o3s9' 








1,1 


46 i6 




fi„rrf 


(1 


SStoj 


G51J9 
C533S 






c4(^ 










14 


46 ( 


i3 5i 


6i3]( 


{J 


38674 


"8- 


LO. 34634 


04006 


^ 


95994 


4"5 




8 46 o 


3,^ o 


06,154 




10. 36646 


9-65366 


10.04011 


9.9598b 




!(■ 












654of 






o4oif 




















38580 


6543.! 






0401; 










l^ 








H 


3856a 








04010 
o4o35 




9i97. 






^ 


45 i( 


r4 3= 


6i46f 


-2 


38534 
10.385.6 


65501 
'9.65535 


-^ 


34499 


— 


9590s 


40 




8 4S10 


3 >4 4u 


9.6149' 


.0.34465 


,o.o4o4' 


9.95960 








i4 4« 






38478 


6556t 






o4o4( 






ii 








■ 4 56 


6.550 




3845» 


65603 




as 










J- 












65636 














J4 


44 if 


.5 .> 


6i6<« 


-^ 


38394 
.o.3H36b 


65669 


14 








9i9J7 


35 




8 44 4» 


3 i5 so 


9.6i6Jd 


657.,i 


■°as 


io.o4<e9 
o4o75 




9.95931 




3( 


44 3j 


i5 lE 


616G3 




38338 


657 3t 












!■; 


4i J< 


i5 36 


6.6»9 




383i, 


6577^ 






o4c^< 




95910 






at 








ri 


38a63 


65en:! 






o4oS( 










g 


44 8 


■ 5 52 


6.745 


i3 
i4 


38i55 


65337 






o4'>9i 




9^908 


.lo 




8 44 o 


3 i6 o 




io.38-.i7 




io.34iio 


■0.0409S 




'X 












i4 






•7 


34u63 






S 








16 r6 


6i8-^t 










04109 
o4ii5 




l^^ 




.!■ 




16 U 


6rB56 


r5 


38,44 


6597. 


18 


34039 








i4 
35 


43 a 


i6 3a 


61 883 


16 
ifi 


38.17 


66004 


'9 


33990 


o4iai 






i5 




8 43 ao 












,0.33,61 


10.0411: 




,.9587.J 






43 1^ 


i6 46 


sS 






















i- 


43 < 


i6 56 




38(,3:) 


65io,l 






4 


95863 






.» 










36oo6 


66i3t: 




o4i4' 




95856 






4n 


41 4f 


17 n 




16 


37979 


661 7 > 


11 






" 


95850 


— 




8 4i 4o 


3 17 3<> 




iK 


,■.,3795, 


9.66ii« 




■°i^x 


.o.o4i5( 




>. 95844 




4i 










66i3( 


1.1 




4 




;? 




4-J 














I'i 


33719 
33696 

33663 




4 


95833 






41 i6 


17 4<1 


6a. 3> 






663oi 


14 


0417: 


4 


95817 






44 
45 


41 e 


.7 51 


6). 55 


JO 


3784. 


C6337 


lb 


o4i7< 


4 
4 


9^81, 


i5 




8 41 o 




9.61,86 


10.37BU 


9.66371 




33596 
33563 


io.o4iB; 


J.95815 




4f 


4i 5i 


i8 e 


■ 6a,K 




37786 


6fi4oi 


a6 






9581... 


i4 






4i 4' 


i6 i6 


6ia4i 






6613-; 














4t 




iB 1-1 


6aa6t 






66470 




3353.F 


04 30^ 




9579a 






■19 
5. 


4i 16 


l8 3a 


b.aflh 


a3 


37704 


665o3 


aS 


33497 


043.* 


"5 


9.79a 


H) 




8 4< 1. 


3 ,6 4n 


9.6a3j; 


11 




9.66537 




io.o4Ji. 


9.957S6 






4< >: 






14 


3765" 








041H 












4i ' 


i8 56 


61377 


14 








333fi4 
3333. 


0431; 










54 

^3 


4o56 
4f.48 


T9 4 


6543a 


34 

15 


s?s 


66636 
66669 


3o 


043 3 1 
o4i37 


5 
5 


S3 


6 
5 




3 4o 4< 


1 w,. 


'v^;d 


i5 




9.66703 


,1, 


33»65 


io.<k(a4, 














ih 


375 14 






o4a40 
o4a55 












40 1:^ 






16 


3748? 


C676f 


3j 


33333 






i 




'•9 


4o ift 
4o 8 


■ 9 44 


6a 54. 
61568 




374'i9 
37431 


66801 

66814 


33 

31 


^^\S 


04361 
04367 


6 

fi 


?S8 


^ 




.« 






6)195 
r™ii,... 


s 


374-5 


66867 


31 




04371 6 




M 




(four P.H 


Hnirt.H- 


nerH,.>. 


rc.laiisciit',1)ifr 


Taii-^nl. 


nos«-»in niff"! Sijic. 





Second, of lime 


!• 


3' 3- 


4- 


.■>• fi- 


7' 


Frop.pvteofooU.^ B 


3 
4 


7 10 
S .3 


14 


ll i5 
4 4 


U 
39 
5 



ogle 

















M 


llourA.H 


Hour P.M. 


Sii>e. 


Diir 


Coseranl. 


Tttdgent. 


Diir. 


Coianstnl 


Secanl. 


Difl- 


Cosine. 


M 


8 40 




9.fi3fio5 




10.37405 






:o.33i33 






r, 05V,R 




395; 










6690. 




33 100 






o573. 


^^ 




l^f 




63649 
61676 












0438. 








393^ 








6696( 










057,0 




"5 


J9>B 








37397 


6699s 






04396 




95704 


56 
55 


8 39io 


3 »o 4>. 






■0.37370 




3 


10.3396B 


10.04 J03 




r,05firft 




39,. 












■( 


33935 


o43ot 




a 






3^56 










a 




3j8r>9 


043.. 




51 












4 


o433( 




95680 


53 


V 






9-6)865 


-J 




67163 


.5 


3i837 


04336 




95674 


5, 


8 3a 4' 


3 11 20 


I0.3TC35 




to.338u4 


,0.04333 




.,0W« 












37108 


67131 


6 


33771 


0433-; 






in 








6191} 










33738 


0434; 




95657 




















33705 


o434( 




9565, 




i5 






63973 








8 


33673 






95645 


41) 




3ua 


'fS 


7 


[o.37.«i 


9.6736(> 


10.3,6,1,. 


io.o436[ 




n^^ 


45 






M 8 


7 


36974 






336..7 


04367 




44 


17 




































369U 








o437d 
04385 




956a. 




!y 












67491 




33509 




956.5 


41 
40 






9.(i3i3: 


9 


10.36S67 


oMi, 




■«,3^7fi 


10.04391 




'■n^ 






31 48 




9 


36841 








0439: 




Ho 






































3678; 






3=378 


a 




» 




a5 


8 3ti4u 




bJiJ- 




3676. 


6765; 


14 


33 3.-i6 




36 
35 




9.633W> 




.0.3673J 


9.67687 


,0,3,1,3 


io.o4i3i 




"SS? 






j3 j8 


6339 




36708 






3i3Bi 














C33i( 








.■s 










n 














67785 


lb 


3i3i5 


04439 
04445 




9556. 


ii 


19 

3« 




3 J4 i> 


9.(0398 


t3 




67817 


16 


33 183 






io 




10.36IJ-X 


9.6785,1 


.6 


.0.3. i5A 


10.04451 




'■'55I? 










L4 










o445: 




It 






a4 16 


63451 


i4 


36549 


67915 




33<>85 


o44(>; 




95537 








6347( 










33o53 


« 




9553. 




3i 






6Ji>.; 


7T 


J(.49'> 


6798. 




3303O 




95535 


36 

3-5 


8 35 31 


3 >4 4<> 


9.635 ti 


,o.36l(i9 


9.680.3 


10.3,988 


10. 04 48, 




't^\\ 














68l^i:f 






"448: 








35 i 


14 50 


6358: 


.<! 


3(i4i7 


68077 






04 19^ 




95507 


3.1 






a5 4 








68. o< 






0450. 








ia 


8 34 41 


lb i> 


63636 
9.6Jt)fi3 


J7 






77 




o45o6 


-J- 


9549i 


30 






9.68173 


io.3r836 


,o.o4S,3 




41 


3i irf 


5S 36 


?,» 




,16i85 


C6339 


33 


i'X 


045,8 
04534 




95476 


',i 




34 i( 


i5 44 


63741 




36i59 


08*71 


33 


31739 


o453i 








44 
45 




i5 5; 


637C7 


21 




683o3 


3d 


3,697 


04536 


T 


sS 


."5 










9.68JJ( 


,0.3. 564 


10.04543 














6836f 




3. 61 J 


o454i 






Id 


il 


33 4' 


]6 Hi 


63846 




36,54 


0B4<» 


■)5 


3.600 


o455< 




9544« 


i.'i 




33 3< 


iC >4 


63373 




36138 


6843-.1 


36 


3.568 


0456. 




95440 




49 
5() 


33 ^b 


3fi 3l 


63898 
9.639M 


33 


36 HI) 


68465 


^ 


3,535 


o456f 




95434 


— 






10.36..76 


9.68497 


io.3i5o] 






».95437 
















iH 




^^t 






8 












3fioad 




iH 






954.1 








6400: 




35998 


6859' 






04591 




ss 


7 








6I038 


34 


3S973 




lo 




0459- 




-5 


f 3. 4. 


3>7 'o 


9.61n5: 


Tf 


.0.35946 


9.6S*i5f 


10.3,34, 


io.o4(>o: 


6 




^7 


3) 14 


37 36 


» 


35 


lll^i 


O869. 
687-3 


Jo 
3r 


3,378 


04609 
046,6 


6 


?is; 


4 
3 






37 44 








»)875< 


1. 




0463; 










3j t 


37 5ll 


64i5f 


irt 


35843 


68786 


33 


3,3,4 


0463) 


6 


95373 




H 


3j ( 


HuurA.H. 


64i81 
Co.i.,c." 


3b 


35Si6 


68818 


33 


3., 83 


0463. 


6 


95J66 



M 


Hourr.H. 


OiH 


S«,U1L. 


CoUiigen 


Diff 


Tanse.,l. 


Cosecfl,,! 


l.iff"Si». 





1* 


2- 


3* 


4* 


5- 0" 


7' 


(A 

Trap, parts of cols. ^ D 

fc 


3 
4 


S 


10 


i3 
16 
3 


17 ao 
90 14 
4 S 


33 

»8 
5 



TABLE XXVII. 


■j-^ai 


■ 




''■ Loir. Sines, Tangents, and Secanta. 


°; 




26° A A B B 






M 


Hour*.-. 
8 3.- . 


Hourp.M, 

3 itt o 


8wc. 


DifT, 


Coseraiii. 


Taiiga... 


Diir. 


Colaiigeul 


Serani. 


Diff 


Coum. 


Al 

6.1 




g.64iBi 




io.35ni6 


9.688.8 




D.31183 


.0.O4634 




9.95366 








.8 8 6j3i< 




J?X 


68850 




3i.5o 


o464o 






^ 








>8 i6 


64.3f 














95354 








.8 .4 


















95348 






5 




i8 3) 


















9534. 


55 






r^H-Jio 


cWi.^ 






9.68978 


.i 




10.04665 












.8 46 


6433; 


'i 


35C6i 




J 


SS 


04671 










7 




.8 5f 


6436! 


t 


35635 




4 


















6439, 




3S583 


69074 


4 


30S94 




953.1 






^ 


8 3o 4o 


.9 1. 


9.6444J 


4 




~ 






953,0 


5o 




,1 ,n ... 


10.35558 


9.69.38 


io,3,*63 


,0.04696 




9.95304 










044« 


5 


3553. 








0470: 






t 








.9 36 


15449^ 


S 


355i« 


6930. 




a 






$^ 








.94^ 












047.' 




4; 




75 




.95. 




6 






~ 








95379 


45 






3 3o 


9.645-' L 


.0.35439 


9.6939} 


n>.3<J70) 


10.04737 




J.95.73 








3o f 


645a£ 




354"4 














4.1 














35378 


69]6, 




3063, 


04739 
04/46 












.9^ 


3o .i 


61B47 




35353 


6939' 








9^'^4 


41 




!V 


.9 j8 




64673 




3'-3n 


694.5 






04751 




95348 


4. 
4< 




8.fl.o 


3 3o 4" 


9.64691 




9.69457 


io.3o54: 


.o.o475b 




9.95343 






S9 11 


3o 4f 






35376 








o476i 














3o 5f 






35.5. 






















3| 4 


64775 




351.5 






3o44. 


0477'; 










j4 
^5 


.8 48 




64800 


77 


35.r>i 


6958:1 


i3 


304.6 


.04783 


3 


951.7 


36 
35 








9. 648^6 


.0.15,74 






io.3o385 


'°'^75? 












3i .8 






^^;l? 


6^647 


M 






95.04 










3i 36 






6^5 


14 








95,98 










3i 44 






35098 






a 






&l 






3o 






64937 




35073 




16 






33 






3 3. 


0.6495. 


1.1 


I0.35M7 


9.6977' 


io.3o3i6 


10.048.1 




9.95179 








3. S 






3503 3 






£;fi 








it 






»7 4< 


3. 16 


65oo: 


i4 


34997 


69337 


17 


0483^ 




95,67 








33 14 


65oj( 


14 




6986* 






o481< 










35 






660S; 


14 

75 


349i6 


699- 


Tfi- 








51,SJ 


s 




8.7.0 


3 3, *. 




la Mc., 






io,o4853 


4 








17 l: 


3. 48 




iS 


3W9f 




") 


3oo3-! 


^4^^ 






1, 






37 ' 




G5i3. 










3ooo; 


4 














65i^S 


16 




















J9 
4o 






65. B< 




3-18... 




-li. 


3994' 


04878 




,5,.. 


- 




8 a6 4o 




.o.,M.o5 






,o,o4«fl. 


4 






41 






65.3. 












4 




;8 




41 






65.5' 












4 


9510: 










GSjBi 


iH 




TOi&i 




^£ 


0490: 










45 








19 


31694 






.;7S5 


04910 




95090 


75 








9.65331 


.0.346-.9 


9.70147 




,0.3975. 






,.rt*. 










6535( 








14 






S 




1. 










65381 






703;"0 










,V,„ 












654o( 




3f59J 


703 iT 




0493! 










8 




3 34 4. 




~ 


345-^ 


70373 






0494 




,lol. 


\z 






9.65 IM 


10. 34514 




.0 


■"■SK 


ic. 04941 


s 


9.95051 










6548 1 
















t 




















3953; 


0496 




95oi, 


















3« 


3950: 


o49fi- 






I 




55 












7o53< 




.947. 


04973 




9501- 




8 .4 41 




9.6i5> 




























n 














95..K 














»1 


3137.. 


. 7"6': 




^937: 






9te 


■■ 






















'J?S 












.4 1 


35 5i 


656S. 


)5 


343... 


7.)685 


3. 




6 


» 






M 


.4 




657I.' 


.5 


34-91 


70717 


3) 


39383 


o5oi3 


b 


M 




HOUTF.™ 


HoilfA.H 


Canine. 


iiitr 


»era.il. 


Cniaiigei. 


IM 


■r^,g^m. 


COWCB..1 


DiFT 


9iuo. 





Seconds «r tiii,(- 


3 
4 

. 


2- 

6 


J!. 


4- 

■ 3 

iC 

3 


5- 

.6 

4 


6- 

'9 
14 
S 


.8 
6 


Prop, puta of cols Q 

c; 



'•»«-»">] TABLE XXVII. 

^' I^g. Sin*, Tangents, and Secants. °'- 
27^ A A B B C C ISa" 


H 

3 
4 

5 
6 

I 

_9 

i3 
■4 

rs 

r6 

a3 
i4 
i5 

36 

'i 

'9 

3o 
3i 
3i 
33 

34 
35 
36 

39 

40 
4i 
4j 
43 

44 
45 

47 
48 

t 

5i 
5a 

53 
54 
5S 
M 
5t 

1 


HmirA.H. 


Hourp.K. 


3iM. 


Uiff 


Cotecam. 

34146 

3433. 

34.96 


TangHil. 


Diff. 




8«lml, 


ae. 


C«i», 


M 

% 
57 
56 
55 
54 
53 
Si 
5i 
5o 

% 
% 

45 

44 
43 
43 
4i 

40 

II 

37 

36 
35 
34 
33 
3i 
3i 

s; 

36 

i5 
34 

33 

ii 

16 

i5 
.4 
i3 

1 
I 


i3 ae 


336 
36 8 
36 .6 
36 14 
36 3i 


965703 
65719 
65754 
65T79 
65804 


'■Si 

7084. 


3 
4 
4 

5 


,o..„83 

zt, 


o5o.8 
0S015 
t5o3. 
t.5o36 


I 


94901 


8 a3 10 

33 11 

>3 4 
11 56 
J2 48 


3^6 4. 
36 48 

36 56 

37 4 
37 .3 


9.65S1S 
65eM 
65878 
55903 
65937 




.0,34.73 
34147 

34.33 

3409B 
34073 


9.70873 

70901 

70935 
70966 
70997 


10.19.37 

^^ 

i|o34 
19003 


K..05.M4 
o5o5. 
o5o57 
o5o64 
o5o7o 


\ 


9.94956 

94930 


8 51 40 
33 3i 

31 16 

13 8 


33730 
37 iB 
37 36 
37 44 
37 5j 


9. 65953 

^^ 
66001 

66035 

65o5o 


6 


10.34048 

34014 

III?? 

3!», 


9.71018 
71059 
71090 


6 
6 


10.38973 
3894. 

38?79 
38847 


10.05077 
o5o83 
05089 
05096 
oSioi 


\ 


9.949=3 
949' 7 
9491. 


ai 5l 

11 44 
11 36 
11 18 


3S 8 
38 16 
38 34 
38 33 


9.66075 
66099 
66134 
66i48 
66173 


6 

8 
"8 
8 
9 
9 


10.33935 

ii 

33837 


9.71184 
7.3.5 
7.146 
7.377 
7.3011 


9 
9 


.0.388.6 
38785 
38754 


io.o5i09 
o5ii5 

o5ll3 


1 


94878 
94871 


10 5( 
JO 48 


3 38 40 
38 48 
38 56 


9.56197 

66331 

66346 
66170 
66395 


33779 

33751 
33730 
33705 


9.7.339 
7.370 
71,40. 
7.43. 

7.463 


ii 


=8039 


05.48 
05.55 
o5.6i 
d5i6S 


3 
3 

T 
3 
3 
3 
3 
3 
3 
4 
4 
4 


9.94856 

94845 
94839 
94833 


10 3i 

30 l4 
30 16 

30 8 


30 36 
3944 


9.66119 

"^ 6634 J 

66368 

66J93 

66416 


;; 


10.3368. 

33557 

33633 

336o8 

. 33584 


9-7.493 
7.534 
7.555 
7.586 
7.6.7 


i3 
.4 
14 
.5 


38445 
384.4 
383H3 


io.o5.74 
o5.8i 
o5i87 
05194 
oSioi 


9.94816 
948.9 
948,1 
94806 
94799 

94780 
94773 
94767 


8 ao a 

III 
,;3( 


340 

4o 8 
40 16 
40 14 

40 33 


9.6644. 
66465 
66489 
665i3 
66537 


I3 

i3 
14 


io.33559 
335^5 
335m 
33487 
33463 


9.7.6^8 

7.O79 

' 7.709 

71740 

7.77. 


>5 
.6 
16 


10. 38353 
i83ii 

383fo 

38319 


o5ati 
o5ajD 

o5i3; 


8 .9,» 

19 M 

r8 48 


34040 

40 48 

40 56 
4> 4 

41 13 


9,66561 
66586 
66610 
66634 
6665B 


■4 
i5 
i5 
i5 


10. 33438 
334 M 
33390 
33366 
33341 


9,71801 

^ 7.833 

7.863 

7.894 

7.935 


'9 
'9 


"■'it 

181 37 

18106 
1B075 


io.o534o 
o5347 
o5353 
o536o 
o5i66 


4 

4 
4 
4 
4 


9.94760 

94747 
94740 
94734 


8 .8 4Q 
18 3? 
.834 
iS 16 
iS 8 


34. 30 

4. 38 
4i 36 

41 44 

41 53 


9.66683 
66706 
6673, 
6&755 
6&779 


16 
18 


,o.333,e 
33^94 
33269 
33i45 
33111 


9.7.955 

73017 
73048 
73078 


33 


10.38045 
3B014 

37983 
17953 
37931 


10.05373 
oSsBo 
05386 
05393 
053S0 


4 

4 
5 
5 
5 
5 
5 
5 
5 
5 


9-94737 

94730 
^7.4 
94707 
94700 


8 >S 
17 51 


341 
41 8 
41 16 

4i 14 

41 33 


9.66803 
66837 
6685. 
66875 
66899 


18 
'9 

'9 
'9 


ll;S 

33lor 


9,73.09 
73.40 

7333. 


33 

14 
34 

35 
35 


"■\% 

37830 


io.o53o6 
o53i3 
o53io 
o53'j6 
05333 


54680 


17 11 
17 4 
i5 56 
j6 4B 
6 16 40 
[6 3i 
1614 
16 t6 
15 8 
.6 


3 41 40 
43 48 
4i 56 


'"66^" 
6697c' 


33 

33 

33 

34 
34 


33o54 
33o3o 
33006 
'3398, 


9.7316:' 
73193 
733i3 
71354 
73384 


30 

16 

37 


37707 

37640 
37616 


10.05340 
05346 
05353 
o536o 
05366 


5 
6 

6 
6 
6 


94634 


343.0 

43 38 
43 36 
4144 

43 5i 

44 


9.67..4. 

67.190 

67137 
&7.6. 


33887 
33863 
33839 


9.734.5 
73445 
■?»476 
7a5n6 
73537 
73567 


18 
39 

B 

39 

3i 


.0. 17585 

SI 

97433 


10.05373 
o538o 
05386 
05393 
o54oo 
o54o7 


5 
6 
6 
6 
6 


9-94537 
94630 
946.4 
94607 
94600 
94593 


HmirF.M 


H™ir*.«. 


CwilN. 


Diir. 


Sei-mii, 


Co.ai.K.11.. 


iMn". 


T».«e.i.. 


CtBeraui. 


IKir. 


Sine. 


iir 






A 




A 


B 




B 


C 




C 


& 



seconds of time I' 


9' 

~6~ 
8 


3' 

9 


4- 

i5 
3 


5* 

i5 
'9 
4 


.8 
i3 

5 


7' 

J7 
6 


{A 

Prop. DWti of cola. ^ B 

1 C 


3 
4 



H 


HoarA.M 


Hourp.B 




Diff 


CfHsrant- 


Taus«ii. 


Dlff 


Co.auFen 


Sfr-nl. 


Diff 




ft 




8>6 


3 44 


9.fi7iei| 


,3.3.839 


9.71567 





.0.3,433 


10.05407; ,9.9459 






i5 Si 


44 8 


07. B5' 


3i8i5 


71598 




17403 


054.3 


1 94567 


^? 






15 44 


44 16 


67308! 1 


ivz 


71638 




37371 


o54io 


; 9458. 


58 




3 


:5 36 


44 34 


6733 




71G59 




1734. 


o5437 




94573 


57 




4 

-5 


i5 18 


44 33 


67156 


1 


31744 


71689 


^ 


373.. 


05433 





^567 


56 
55 




TT5"iS 


3 41 JO 








9.73731 


,0.1738. 


,o.o544< 




9.9456. 




6 


[5 11 


44 48 


6730 




31697 


7*75. 


3 


1715. 


o5447 




94553 


54 




7 


t5 4 


44 56 


67337 


3 


3^673 


71780 


4 




05454 . 


9^546 


53 






i4 5. 


45 4 


67350 


3 


3i65. 


718,, 


4 


37.89 


05460 




94540 


5j 




J 




45 ,3 


67374 


3 


3i6)6 


7384, 


5 


37,5; 


05467 




94533 


5. 

53 




8 j4 4o 


3 45 30 


9.67398 


4 


.o.3i6o3 


9.73871 


~5 




, 0.05474 




9.94516 






14 3i 


45 i>8 


674> 




33579 
33 555 


73901 


6 


17098 


o548 




94519 
945,: 


$ 






14 14 


45 36 


67445 


5 


7i93> 


6 


17068 


o548: 






i3 


14 16 


45 44 


67468 


5 


3i53j 


73i;63 




17037 


05494 




945<« 


47 




i4 
>5 


14 8 


45 5i 


6-'49i 


5 
"6 


33508 


73993 


7 




0556, 




94499 


46 
45 




8 14 


3 46 


9,67ii5 


10. 33485 


9.73033 




10.16977 


io.o55,>8 




9.94^93 




16 


i3 53 


46 8 


67539 


6 


33i6. 


73o5i 


6 


i6$46 


o55,5 




94485 


44 




■7 


i3 44 


46 16 


675G 


7 


33438 


. 73o84 


9 


369,6 
36886 


o55i. 




94479 


43 




18 


■ 3 36 


4614 


6758f 




3i4.4 


73.-4 


9 


o55i8 




94473 


43 




S 


i3 18 


46 33 


67609 


-i 


3.391 


' 73.44 




36856 


05535 


f 


94465 


4. 
4o 




8 i3 10 


3 46 40 


9. 676 J' 


.o.3.3<i7 


9-73,75 




.0.36815 


.0.05543 


?. 94458 






i3 11 


46 48 


67656 


8 


3i344 


73io5 




16795 
16765 


05549 
05555 




9445, 


It 






i3 4 


46 56 


67660 


9 


3i3io 


73i35 






94445 




aJ 


19 56 


47 4 


67703 


9 


33397 


73i65 




1&735 


o556i 




94438 


37 




J4 
i5 


1148 


47 11 


677'6 


_9_ 


33,?4 


^3195 


-^ 


1670S 


o5'i69 




9443, 


36 
35 




B ,140 


3 47 =" 


9-677 5. 




10.3315,, 


9.733,6 


10.16674 


.0.05576 




9-94434 




»6 


11 33 


47 18 


67773 






73350 


.3 


16644 


05583 




914,7 


34 




'7 


11 34 


47 36 


G779G 




31304 


73386 


.4 


366,4 


05590 




^410 


33 




s8 


11 16 


47 44 


^.8!o 




33iS<> 


73416 


.4 


36584 


05596 




94404 


33 




22 


ri 8 


4753 


67843 


ti 


31.57 


73446 


.5 


36554 


o56oJ 




94397 


3i 




3o 


S 11 


34s 


9,67666 




io.3i.J4 


9.73476 


^ 


.0. 16514 


K..o56,o 


— 


'Ua 


3o 




3. 


II 53 


48 8 


678,. 




31IIO 


73507 


.6 


16493 


o56.7 




It 




3> 


II 44 


48 .6 


67913 




31087 


73537 




J6463 


o56i4 




94376 




33 


II 36 


48 14 


67936 


i3 


33. «4 


73567 




16433 


o5fi3. 




^369 






34 
35 


11 38 


48 3j 


6795-J 


i3 


33o4i 


73597 


'7 


364.>3 


o5618 


-f 


^36^ 
9,94355 


16 
Ts 




8 11 Id 


3 48 4" 


9.67983 


.4 


.0.310.8 


9.73617 


"^ 


.0.36373 


io.-.>5645 




36 




48 48 


68ix« 


■ 4 


3.994 


73657 


t8 


=6343 


0565. 




94349 


>4 




37 


11 4 


48 56 


68039 


■ 4 


3.971 


73687 


19 


I63r3 


05658 




94343 


33 




33 


10 56 


49 4 


6So53 


i5 


3.94B 


78717 


19 


35i83 


o5665 




94335 






39 

4<. 


10 48 


49 1^ 


68075 


i5 


31915 


73747 




36353 


05673 




^4318 


— 




8 10 4a 


3 49 1.. 


9.68.^ 


";6 


.0.3,901 
31S79 


9-73777 


10.16333 


.0.05679 


"5" 


9.94311 




41 


10 3i 


49 'B 


68.3. 


.6 


738..7 




16193 
16, 61 


05686 




943.4 


;i 




A' 




49 36 


68i4i 


.6 


3i85b 


73837 




o5693 




94307 




43 


ID 16 


4944 


68.C7 




3i833 


73867 




36,33 


oS^i^ 




94300 






44 
4S 


10 8 


4953 


68.90 


17 


3i8io 


73897 


31 


36,<>3 


05707 




94193 


.6 
75 




8 10 


3 So 


9.68113 


.0.3,787 


9-739^7 


T3" 


,0.36073 


10.05714 


~ 


9.94186 




43 


953 


5o 8 




iS 


3,763 


73957 


13 


16043 


05711 




94379 






47 


944 


5o ,6 


68360 




3,740 


73987 


14 


160.3 


05737 




94173 


.3 




48 


936 


5o 14 


68383 


19 


3i7'7 


74017 


14 


15983 


05734 




^166 


.3 




fe' 


918 


5c, 33 


683f>5 


J? 
19 


31695 


74047 


i5 


3^3 


05741 




94359 


ip 




8 9«, 


3 5o4o 


9.683>8 


.0.3,673 


9.74077 


35 


'"IS 


10.0574B 




9.94351 




5i 


9 .1 


5o48 


68351 




3.649 
3.636 


74.07 


36 


05755 




94345 


2 




5i 


14 


5o56 


68374 




74.37 


16 


05761 


6 


?4i38 




53 


5i 4 


68397 




3.6o3 


74.66 




35834 


05769 
05776 


6 


?4i3. 






54 
55 


8 48 


5i 11 


esjln 


31 


3,58o 


74156 


37 


35So4 


6 


94:14 


6 

~5 




8 8 4(1 


T~57^ 


9.68443 




.0.3,557 


9.74316 


18" 


0.15774 


.0.05783 


6 


9,94317 




56 


B 33 




68466 




3,534 


. 74356 


18 


35744 


05790 


6 


943. c 


4 




5' 


8 14 


5I 36 


68489 




3,5,. 


' 74186 


19 


35714 


o5^7 




943o3 


3 




53 


B 16 


5i 44 


685 11 




3,488 


74316 


19 


35684 


o5So4 




<Mi96 

94,89 






59 


8 8 


5i 53 


68534 


33 


3i466 


74345 


3S 


35655 


o58ii 








60 
M 


8 


5i 


68557 


i3 


3.443 


74375 


3o 


356i5 


o58i8 


7 


54.83 


M 




Hotirr.v. 


Hou>«.». 


Cosim-. 


SccanL 


ColBDjcnl 


>ifr. 


T.ngc«.. 


Cowcant. 


Kff 


Siue. 





Seconds of time 


!■ 


S' 3" 


4" 


5* 


a3 16 
S 6 


f A 

Prop, partt of cola. B 
C 


3 
4 


6 9 
8 .t 
1 3 


i5 
3 


iS 
"9 
4 



'^'"'"' TABLE XXVII. 






^'" Log. Sinea, Tangents, and Secants. 


C. 


29° A A B 


B 


C C 150" 


M 


H«<r«.H 


Ilourr.M. 


Sine. 


i>iir 


Ci.ari.iil. 


Tangent. 


IXff 


Cniangenl 


Seranl. \m.\ Cosine. 


H 




9.68557 


io.3[443 


9.74375 


10.35635 




: 'JllS 














74-lo; 




15505 
35565 


oifli; 


^ 














74435 




o5833 




,1 




53 2i 


68635 






7446'. 




35535 


05839 
05846 






4 

5 


7 i8 


5i h 


6H64B 


4 


3i35i 

.0.31339 

3i3,.6 


74J9. 


-J- 


3 55<^ 


9iiM 


56 

<5 






9.08671 


9.7453:^ 


■0.35476 


! 1.0(147 


t 






6869. 




7455. 


A 




















745n; 




354,7 


o5867 


















746 1: 












9 






9687B4 






7<643 


-5 




•0588, 




94, ,9 


5, 

5^ 








9.7467- 




io.o588t 




9.941,:. 










4 






5 


3536b 


0589! 






'^ 














7473: 


li 




















7476^ 


D 










^n 










6 




7479' 


-i 


35309 


059. r 


-;^ 


94.«1 


46 


8 • 


3 54 o 


9.68B97 






,0.35,79 


io.o59'i 




























d' 




5 4' 










7488, 


8 




o593t 






/!■ 


iH 






6896! 






749 1< 






05945 




94o55 


1i 


I? 








1 




7493< 


_i 


io.35o3. 


05951 




94M8 


41 








,0.3099-. 


'■a 


,0.05959 




9.<M<.^. 
























^ 




5 - 




6905: 










3497= 


0597; 








»1 


4 a 






9 




75o5f 






0598. 






37 


14 


4 48 




69,... 


V 




75<*7 


77 


349'3 


05988 




9io„ 


36 
35 


8 , 4o 


3 55 JO 


9.69. 3J 


9 


,o.3ob7S 


„.5,n 


io. 34881 


,n oSonS 


1 




3(1 


, 3; 


55 j8 








75i4( 


iH 


34854 








U 






55 3fi 










H 


14834 


o6"iie 




^JX 






, if 


55 44 


69,8s 






7530; 


■ 4 


34795 




.13 


3<f 

.■in 


ft 




69313 


" 




75335 


■4 
i5 


347"5 


o6-i?3 




93977 


3i 
.in 


8 , « 




io.3c.766 




10.34736 
























34706 








;? 


3> 


: 4: 


56 i6 






30731 




,6 


34677 


oeiid- 






.1.1 


, 3( 


56 34 






30699 


7535 


,6 


34647 


o6<i5; 








34 
1^ 


: it 


56 3- 


69333 






7538. 


-^ 


346,8 


o6o5s 




9'9f. 


36 
35 


S ; au 


3 56 4.1 


9.69345 




10.34389 


io.o6o6t 






«i 












75441 














1-- 


. i 






■ 4 


















)H 


3 5f 


5? 4 




14 


3u583 


75500 




34500 


o6o8t 








4" 




57 .3 


69434 
9.69456 


iS 


3o566 


75531 


'9 


34471 


06095 


5 


93905 
). 93898 


ji 


8 3 4> 


3 57 3.> 


,o.3>,544 


9.7555b 




10.3444J 


10.06103 


5 


















344J3 


06,00 
06116 






:i 




J i^ 


57 36 




111 








14383 


5 






a i( 


57 44 


6953; 


16 


3o477 






34353 


o6ii' 


5 


9Jb76 




44 
4^ 




















^ 


93B(«; 


75 


8 3 ( 


358 o 






io.3ii433 






10.34395 


io.o6i3t 










69589 
















93855 


■■■ 




1 4' 




69fii. 
















93847 


1.- 
















34 


34J07 










? 














34 










^ 


8 1 30 


3 58 4.. 




10.3..333 




35 


10. 14. 48 


10.0617' 






■.1 






69tijv 




3o3oi 


7588, 










9J8,.; 


? 


Si 


1 ^ 




69731 




30379 


759" 




Itt 


06,96 




93Bn 


SI 




59 4 








7593; 










ss 




59 .3 








7596^ 


Jl. 








93797 


5 


8 o 40 


3593a 






,o.3..3,3 




io.i4.«.' 








S(i 




5938 


69a™ 




30,91 






33973 






9378= 


.1 


S-F 




5936 


69SJ, 




30169 






33944 














5944 






3oi47 






■Xt 


























o634( 










O f 




69S97 


11 


3oio3 


76, 4' 


39 

nifi' 


33856 


0f347 


m 


__93753 


M 


ilourP.M 


HcHiri.M. 


CosUrt 


Dijr.' Sei-aiil. 




T«„^,t. 


Cnscrii,!!. 



Second, of time 


1' 


2- 


3" 


4- 


5* 


6- 


36 


Prop, parti ofcola. ^ B 

tc 


3 
4 


6 

7 


8 
1 


i5 
A 


■ 4 
18 


17 



» 


llnurA.H 


FlM<rp.H. 


Sine. 


iiiir 


CoMwauL 


Tangtnl. 


iwr 


i;«Bnnnl 


SrrKdi.-JXir. 


Co>li>e. 


s; 




4 <. 


9.69B97 




io.3oio3 


9.76i4J 





10. 33856 


10.06347 





O.c.3.5,1 




7 595: 


e 


<m". 




3008. 






33837 






93746 


^ 






It 








76ao3 




\m, 






9373a 


.'. 
















06376 








4 


50=B 




OWB' 


4- 








33739 




93734 


55 


,s^=< 


4 040 




10.3999J 


9.76390 




10.33710 


10.0638; 










48 


Tooif 






» 




336Si 


06391 






54 




S4 


56 


70o5t 








33653 








S3 




I 4 


■joor- 




i99=£ 


7637- 


4 








9.93680 


S3 


^ 






70093 




J9907 




4 33594 




^ 






4 I 3" 


9.70115 




10.39885 


9 76435 


5,10.33565 


IO.O6330 




58 3: 


1 iG 






J986' 






33536 


o633: 






1^ 








70.5. 




3984. 






.3507 






93565 






1 4<1 






396« 






33478 






93658 




• '> 










=9798 






3344s 


10.06357 


-^ 


9365o 




7 58 . 


4 1 






[0. 19776 






10.33430 






1 S 












'At 














1 >f 


7016; 




39733 


s 








036)8 








3 3^ 












06366 




93631 


43 


'1 










19690 


9.76735 


-2. 




V 


93614 


41 
40 


7 57>a 








io.,966E 


.0.33375 


10.0639- 


9.93606 






1 4G 






>964^ 


7675. 










9,359Q 


« 






a 56 














06409 
o64i6 




^^4 


I. 


5Q 5( 


3 4 


7«39( 


H 


396M 


7681-. 






3 


37 


34 


5(3 46 


3 II 


70418 


9 


S958J 


75341 


13 


3315, 


06433 


J 


93577 


35 










,0.3956, 


9.^6870 
















3 SB 






39535 


7691J 










V356, 








3 36 


7048: 














9355d 




If 


56 If 


3 44 


7C,5o; 






7695^ 


l.< 


33o43 


0645; 


.i 


93547 


33 


'9 
3r 


56 8 


3 5j 


7o5i5 


-if 


>9475 


76986 


14 
14 


33o,4 


o646i 


4 


93539 


3i 
3" 






9.70547 


10.3945; 




10.33985 




4 








4 8 






39433 


7704i 




33956 




4 




;? 






4 16 












V^^ 










55 3( 


il 34 










It) 


o?49f 


4 






Ifi 


S5 18 


4 3= 


70633 


[I 


39J67 


77>3o 


10 


31870 


00498 


4 

4 


93503 


^ 




4 4 4<- 




iH 


10.39346 


'■?!;s 


10.33841 




'f,t 


,« 


55 i: 


4 48 


7067! 


|3 


3933! 




13813 


o6S>; 


4 


■'4 




55 , 


4 56 




1,1 


19303 




iH 


33783 


o653( 


5 


93480 


33 




54 5( 


5 4 




■4 




7734{ 


[M 


33754 


o653( 


5 






4' 


54 48 


5 11 


7074^ 


14 


3936, 


77374 


19 


33736 


06535 


5 


93465 


^ 


75440 


4 5 I.. 


9.70761 


14 


,0.39.3, 


9.773'); 




'%'S 














7078s 




393 iG 












:t 


i- 


54 a. 


5 36 


7oB<«; 






77361 




3 3635 


o65S 


5 










70B1J 












o656: 


5 






44 


54 8 


5 J3 


7"840 




39154 


77418 
9-77447 


~ 


33583 


06573 


5 


93437 


16 

i5 




4 6 


9.70867 


It) 


[0,39,33 






fi 


9.93430 




53 5: 








39113 


7747< 




33534 


o658( 


6 




i4 


47 
48 


53 44 
53 35 


6 iG 
6 i4 


709.^ 


\l 




775n5 


33 

3,1 


■■X 


06595 
o65d3 


6 
6 




iJ 


t 




6 3j 


7<^li3 


iB 


77563 


j4 

34 


33438 

in. 33400 




b 


93390 


'-^ 


7 53 i< 


4 6 40 


9-7"97- 


10.39037 


9.77591 




9.93383 


•ii 


53 4 


6 4B 
6 56 


70994 

71015 




Kt 


77619 


35 
35 


33353 


06635 
06633 


6 
6 




t 


















33333 


06640 




93360 




55 




7 11 




'9 


3B943 


77706 




33394 


06648 




93353 


5 




4 7 'o 


9.71079 




10.3B93, 


9-7773J 


ah 


lo.aii66 


10.0(5656 




9 9334J 






7 j8 






s 


7776: 


37 


33337 


0666: 




933,37 


4 












77-91137 


3330; 














7 44 






77B50 38 












^'J 




7 5i 








7784s 38 


33l5l 


o668( 








^f 












77877 


39 
nitr 






7 


93307 


M 


Hnurp.M 


Hour •.H 


Cn^hir. 


Ditr. 


8rr»m- 


Colniiffenl 


TBdsPnI. 


r™w-oni. 


Diir 


Siiii-. 


aa 






A 




A 


B 




S 


C 




C 


SO' 



Second! of time 1 


3 

5 

7 


3 4 
8 11 
11 14 

3 i 


5 

13' 

5 


6 
16 

6 


7 

'9 

35 


(A 3 
Prop, parts of cob. < B 4 

(c 1 



M 


lIourt.H 


H 


«rr.« 


a;ne. 


Diir 


Cosoi-aiK. 


TmiKCii.. im 


;oia..Sem 


Sernm. 


Difl- 


Coi.i.,e. 


61^ 


7 5. . 


4 H c. 






10.38816 


9.77877 






















Si 








■I 




5t d^ 


e t6 


71336 






779J'i 1 


06701 




'oiX 


;f 


5i 3f 


8 j4 


7.M7 




38753 


77963, ' 


33037 


06711 






4 


5i 38 




7n68 


1 


38733 


77993 1 1 


33008 


06734 




9I376 


56 


5 




4 8 4o 






,0.387.1 


9.78030 






;o.<>673, 






55 








7.3i< 






78041 




1,95. 




























06747 








li 


5o5t 


9 4 


7135; 


3 


38648 


78,01 


4 


06751 




93346 


Si 


^ 


5o 48 


9 13 


71373 


3 

~3 


38637 


78,35 


4 

-5- 


3,865 


' ■ - ~8 




7 5o 4c 








9.78,6 


,o.3.8J7 










4 












4<i 




So a< 






4 


38565 




6 


3i78r 


5 




|■^ 


So ■( 




71456 


4 


385 J4 




6 


3.75, 




4-7 


i4 


So 6 


9 5> 


7 '477 


5 


385j3 




7 


3.733 





46 


i5 


75o o 


4 10 o 


9.7'49f 


S 


io.j85j3 


9.7B30I 


7 


-IX 




45 










S 








4 


\'. 




49 4. 


lo r6 


7.53. 


h 
















49 3( 






(1 




7839 




3,609 




A'. 


!? 


49=8 




7.58, 




384 !<; 


784 1' 


9 






41 


7 49 =< 


4 lo 4<> 






10,38198 


9-78441 


10.3.553 












33378 








t 


S 




84 


lo S6 




H 


3835; 






3.495 








7166; 


K 


18336 






3.461 




(■- 


^ 






71685 


8 


3831 5 


78S63 


^ 




1 5 


35 


7 4S 4" 


4 iJ ao 






,n,,H3r,5 


9.78590 








[J iS 






JB174 










3i 


"7 




11 36 


71747 




3835) 


7861' 


,3 


li35^ 




:)■■ 






11 44 






38j33 


7867! 




3l33E 




3: 


J7 
36 




tl S3 


7178** 


-1^ 


383 13 


7870. 


14 
14 


1,296 


■4 


1, 

r 




4 13 O 
















7i8« 






7B76. 




3.34( 




:^ 




47 4< 


13 t6 






38,50 


78789 


i5 








47 3f 


la 34 






38. 3o 




.6 


3118] 


3 




35 


47 '( 


13 33 


7.89- 


~il 


38.09 


78845 


>Q 


3ii55 


6 


36 

35 


7 47 a<' 


4 .3 4o 




ro.i8oH9 


9.78B7. 


10.3, ri6 




47 >■ 








38i>6« 










n 


J7 


47 ' 




7195c 




3804H 


7893, 
















T<P- 




38037 


78951 




3,o4i 


4 




4o 






71991 


■ 4 


38006 


78987 


19 


3,0,3 




I! 


7 46 4. 


4 ,3 30 


io.3798'> 


9.7901J 


.o.iooHS 


4i 








■ 4 






'9 






;? 


41 






73o5' 


"1 










3 




46 .( 




7307= 


iS 


37915 


79, OL 






6 




4S 






73096 




379. .J 


79. '8 


77 


10B7) 




.6 
,5 


7 46 « 


4 U o 






10.37884 


9.79,56 


.o.aoB4J 










16 


17863 






ioS,S 




.1 


47 




14 16 


73, S7 


id 


17843 


79' 1; 






4 


,,; 






i4 34 




16 


37813 


7934. 


3.) 




6 




So 






73.9B 


-1^ 






Jj 


3073. 


1 


— 


7 45 a. 


4 14 4- 




10.377BJ 




34 


.0.3070^ 












37763 




34 


30674 


3 








i4 56 








7935, 


jS 


i(«j6 


5 








i5 4 




iK 






35 


106.8 














19 


37701 


794.1 


lb 


3059,, 




6 




7 44 40 4 i5>.. 






10.37680 


9.7943: 


ih 


10.3o5fi3 




5 




44 3j 


:5 38 






37660 




36 


30534 


4 






44 3^ 


i5 36 






376I0 


79495 




»o5oi 




f 




44 i( 


iS44 


7338, 




176.9 














44 t 


i5 53 


73401 








3H 


3o-i49 






kl 


44 « 




73431 


11 




-' 


79571 


18 


304^, 


. / ■' 




M 


llffliri-.M. 


IWrA.K. 


Co.iua. 


Diir. 


Socn.. 


Cow,.Bei, 


m 


Ta,«fi„. 


Cnsora,.l.|lKa-.| Si,.B. 


.21» 


A A B 


B C 


C SS' 


8e«.Dd.of Urae 


1- 


a- 


3- 


4' 


5- 


& T 






(A 


3 


1 


H 


10 


.3 


.5 .8 






Prop, p&rtoofcdf < B 


4 


7 




.4 


.8 


11 15 












I 




3 


4 


5 


6 •) 









hog. 



TABLE 
Sines, Tangei 



XXVII. 

Its, nnd Secants. 



M 


7 44 
43 5» 
43 44 
43 36 
43 3B 


Hourr.M. 


Sine. 


IUff 


Co««.ui 


■nuiseiii. 


iHir 


CoiBugem 


Sfca,«. 


Diff 


Co.i,ie. 


3 
4 


4.6 
16 6 
16 r6 
16 a4 
16 32 


9.7'4a' 
7a44l 
73461 
734Ba 
735oa 


\ 

3 
3 


17498 


9.79579 
79607 
79635 

7969. 


\ 


30393 
3o365 
ao337 
ao3o9 


,0.07,58 


\ 


9.93843 
G3B34 
91816 
91818 


5 
6 

E) 
9 


43 4 

41 56 
4.48 


4 16*. 
16 48 

16 56 

17 4 
17 13 


9.73533 

73543 

73563 
7>6o. 


.o.,7<78 
.7JS8 
.7438 


9-797.9 
79747 
79770 
79804 
79831 


3 
3 
4 
4 


'aoa53 

30334 


073i3 
07339 


\ 


9.91803 

9»779 
9377. 


i3 

i4 


7 4j 4c 
4j 3> 
4j 14 
4> 16 
41 8 


17 36 
17 44 
■ 7 5> 


9.71633 
73643 
73663 
7368: 


4 
4 
4 
5 




9.79060 

799.6 
79941 


5 
6 
6 

7 


io.aoi4i, 

30084 
iQo56 
aooiS 


,0,07337 
07345 
07353 


3 
'3 
3 
3 
3 
3 


i9.9'76J 
93750 
9=747 
93739 


iS 
19 


41 44 
4[ 36 
4> >8 


4 la 

18 8 

18 16 
18 34 
18 3i 


9.73733 

75743 
73763 
73783 
7a8..3 


5 
6 

6 
6 

~8 
9 
9 


37337 
373.7 
37197 


8003B 
8oo56 
80084 
8oiia 


7 

8 
8 
9 




'0736! 
07393 
O73o, 
073<>9 


9.93733 
93715 
91707 
91699 
9369. 


'3 

34 


7 4r M 
41 iJ 
41 4 

4o 56 
4048 


i 18 40 
1848 
18 56 
.9 4 


9.73833 

^ 73843 

73863 

73883 

7390J 


37 '37 

37r.38 
a70'8 
36998 


9.6014. 
80168 
80195 
8o3s3 
8o35i 


9 

,3 
i3 
,3 
.4 
14 
■ 5 
i5 
16 


19805 
19777 
.9749 


,0.073,7 
07335 
07333 
0734, 
07349 


9.9=683 

93667 
93659 
9365, 


>9 


7 40 4.. 
40 33 
4o 34 
40 <6 
40 8 


4 19 =■■ 


9.7393J 
7'94' 

9.73<.aa 


9.80379 
803.17 
8o335 
8o363 
8039. 


.9637 
19609 


07365 
07373 
07,16, 
07389 
■0.07397 
07405 
074.3 
0743 1 
07419 


3 

4 
4 
4 
■4 
4 
4 
4 
5 


9.93643 
93635 
93617 


3i 
3j 
33 

34 


7 io 
3,53 
3^44 
39 36 
39 rf, 


4 au 
30 8 
ao 16 

ao 33 


■O.J6978 

36939 
16919 
36099 


9.804,9 
81.447 
3o474 
8o5o3 
&.5I0 


ro.i95!i, 
19553 
19536 
.949B 
.947" 


'lil 

93579 
9157, 


36 

^^ 
39 


1i 

38 48 


4 ao 4" 
ao48 
10 56 
ai 4 


9.73131 
73i4< 

73i& 
73, 8< 
73^™ 




.0.36879 
=686.. 
a684c> 
36830 
j68<h, 


9,8..558 
8o586 
806,4 
8<«43 
80669 


,8 
16 
'9 
'9 


10.19141 
■ 9414 
19386 
.9358 


,0.07437 
07445 
07454 
07463 
07470 

0749! 
07503 
075, ( 


5 
5 
5 
5 

6 

6 
6 


' 91555 

91546 
9iS38 
9a53o 


4" 
4i 

43 
44 


7 38 4o 
38 3a 

38 =4 
38 16 
38 S 


4 a. a,. 
3r aS 

»i 36 
ai 44 
ai 53 


9-73319 
73aJ9 
73y5o 
73378 
73.98 

9.73318 
73337 
73357 
73377 
73396 


4 


10.36781 
36761 
3674. 
36733 
36703 


9.80697 
80735 
80753 

808, .8 


,o.,9.3..3 
19375 
19347 

19193 


9.93513 

935.4 
935./; 
93496 
93490 


47 
48 
49 


7 38 
37 5> 
37 44 
37 36 
37 >S 


4 ai 
aa 8 

. 33 t6 
33 34 

33 3a 


10.366a. 
366(^3 
36643 
366)3 
36604 


9.a*36 
80864 
6<i893 
609.9 
80947 


33 


10.19164 
,9.36 
i5„« 

7.% 


,0.075,6 
1.7517 
07535 
07543 
0755, 


6 
6 
6 


9,93481 
91473 
93465 
93457 

9.9344. 

?a433 
93435 
914.6 
934<* 


5i 
■,> 

13 
54 


7 37 .- 

37 17 

37 4 
35 K 
3r> 48 


4 33 4<. 
33 46 
13 56 
a3 4 
j3 la 


9.734.0 
73435 
73455 
73474 
73404 


1 


10. 36584 
36565 
16545 
16536 
365r6 


8,o3i 
8io53 
8i<«6 

8. 354 
6,i33 


33 

34 
34 

35 

i5 
36 

3fi 

36 

38 


,8970 
,894. 
,89,4 


,0.07559 
07567 
07575 
07584 

0759a 


8 
8 


■ill 


36 3> 
36 =4 
36 ,6 
36 8 
36 


4 33 a.. 

a3 36 
a3 44 

33 5a 

34 


9,735,3 
73533 
7355a 
7357a 


,0.3648, 

3646T 

16448 

36438 
a64"9 
36389 


1 883? 
16804 
18776 
18748 


07608 
076,6 
07634 
07633 
0764, 


9.934.-0 

& 
93376 
93367 
93359 


11 


Kwrr.*! ll«i>A.H. 


Cmiiic. 


Kermii. 


rnl»i,,{r,il[nitf. 


Tn„s=,il. 


C<«ei-8,ii 


Diff 





Seconds or ti,ne 


!• 


a- 3- 


4' 


5' 


6> 


?• 


Prop. psrt. of cols. 1 B 


3 


5 7 

II 3 


■ 4 
4 


5 


i5 
6 


17 
a4 

7 



"^^'^1 TABLE XXVII. 
*'■ Log. Sines, Tangents, and Secants. '^'■ 

asf A A B B c c ue' 


M 

I 

4 
5 

6 

i 

\l 
u 
i5 
iC 

•,l 

30 
'1 

M 

i5 

a 
19 

3o 
3i 
3i 
33 

34 
35 
36 
37 
38 

1 

41 
4» 

43 
44 

47 

48 

5i 
5i 
53 
54 
55 
56 
57 
58 


H«iri.> 


(lt<UF.H. 


Sins. 


mff. 


Cosecant. 


T»ng«.L 


Diff. 


Cotangent 


Secanl. 


Diff. 


Cosine. 


M 

60 

57 
56 
55 
54 
53 

53 

5. 
5o 

it 

47 

46 

45 

44 
43 
4a 
4i 

4n 

ll 

37 
30 
35 
34 
33 

33 

3i 

3i; 

:, 

36 

35 

34 

33 

j 

16 
.5 

.4 
.3 

1 
6 

1 
4 
3 

M 


736 
35 53 
35 44 
35 36 
35 26 


4i4 
14 8 

a4 16 
a4 a4 
a4 3a 


9,73611 

73630 
73650 
73669 




10.35389 
36370 
36350 
3633] 
j63ii 


81379 
8i3o7 
8.335 
8.363 


° 


10.18748 
18731 

.8665 
.8638 


10.0764. 
07649 
07657 
07665 
07674 


I 


9.93359 
9335. 
93343 
93335 
93336 


35 4 

34 56 
34 48 


4 34 40 
14 48 


9.73708 
73737 

73785 


I 


10.36393 
36373 
a6aS3 
36134 
a6ai5 


8.445 
8.473 
8i5o<v 


3 
3 
4 
4 


.0.186.0 
18S83 
i8555 
18537 
i85oo 


10.07683 

07707 
07715 


; 


0,93318 
933.0 
9a3o3 

Hill 


73440 
34 3j 
34 =4 
34 16 

34 e 


4»5ao 
aS aS 
a5 36 
a5 44 
>5 5a 


7388 a 




■36.^ 
361 57 
a6i37 
a6ii8 


9.81538 
8i556 
8r583 
81611 
8.638 


5 
5 
5 
6 
6 


10.18473 
18444 
184.7 
I83B9 
1836? 


10.07733 
0773. 
07740 
0774B 
07756 


I 


9.93377 
93369 
93360 
93353 
93344 


734 

33 5a 
33 44 
3^ 36 
33 aS 


4 a6 
a6 8 
a6 16 
a6 a4 

j6 3a 


9.7J90. 

'Pa 


6 
5 
5 
6 
6 


10.36099 
36079 
16060 
36o4i 
i6oaa 


9.81666 

8173. 
8.748 
8.776 


I 
8 
9 


.0..8334 
.8307 
18379 
i8a5a 
18334 


07773 
07781 

5?S 


3 
3 


9.93335 
93337 
933.9 
93311 
93303 


7 33 ao 
33 IS 
33 4 
3i 56 
3a 48 


4 36 40 
a6 48 
16 56 
a7 4 
a? la 


9.73997 

74055 
74074 


6 
7 

7 

i 


35983 
35964 

IIS 


8.83. 
8iS58 
81886 
819.3 


9 


10.18197 
18169 
18143 
.8114 
18087 


10.07806 
078.4 
07833 

07B3. 
07839 


3 
3 
3 
3 


IS 

93.69 


7 3a 40 

- 3a 3a 

3» a4 

3a 16 

3a 8 


4 a, ao 
17 a8 
37 36 
37 44 
a7 5a 


'■Iff, 

74133 
74.5> 
74170 


8 
8 
9 
V 


-a; 

35868 
35849 
35830 


Lit 

83o5i 


i3 
i3 


.0.18059 
18033 
18004 


10.07848 
07856 
07864 


4 

4 
4 
4 


9.93153 
93144 
93136 
93.37 
93.,9 


3i 5i 
3[ 44 
3i 36 
3j iS 


4a8 
aS 8 
aS 16 
as 34 
18 3a 


74537 

Its 




.0.358.. 
35793 
35773 
35754 
35735 


9.83078 
83106 
83133 
83.61 
83.88 


i4 
i4 
i5 
i5 
16 


■b 


10.07889 
D789S 
07906 
079. J 
07933 


4 
4 
4 
5 
5 


9.93..! 

ii 

93077 


'3';;: 

3i 4 
.3o 56 
30 48 


4 38 40 

38 48 
a8 55 

39 4 
39 la 


9.74384 
743o3 

74333 

74341 
74360 


73 
i3 
i3 
i4 
i4 


10. 35716 
35697 
35678 


9-83215 
8aa43 
83370 
83398 
833j5 


16 
16 


,o.,7,»i 
■775? 
"773c 


10.079J1 

07940 
0794B 

07956 

<y7955 


5 
5 
5 
5 
5 

T 
6 
6 
6 
6 


9-9'o69 
92053 
93044 
93035 


7 3o4o 
3o 3a 
3o a4 
3o iS 
3o 8 


43930 
19 38 

444 

39 5a 


74417 
74436 

74455 


10.35631 
a5603 
35583 
35564 
35545 


9.83353 

83407 
8a435 
83463 


.8 
'9 
>9 


10.. 7648 
17630 

17538 


.0.07973 
07983 
07990 
07998 
08007 


9.93037 
92018 
92010 
93003 
91993 


7 3o 
395^ 
3944 
a9 36 
a9a8 


4 3o 
3o 8 
3oi6 
30 34 
So 3a 


9-74474 
7449J 
74513 
74531 
74549 


i4 
i5 
i5 
i5 
16 


10.35536 
35507 
35488 
35459 
3545 [ 


9.83489 
8a5[7 
83544 
8357. 
83599 


33 


10.1751. 
.7483 
17456 
17439 
.740. 


08034 
08033 
08041 
08049 


6 


9.91985 
91976 
9.968 
9'94, 
91951 


7 '9 JO 
J9 la 

a8 48 


4 3o4o 

3, 4 
3| ,a 


9-74568 
74587 
74606 
74635 
74644 


>b 
16 
17 

17 


10.35433 
a54T3 
35394 

'Mi 


83553 
8a68. 
83708 
B3735 


33 
34 
34 
35 


.0..7374 
17347 
17319 


08066 
08075 
08083 
08093 




9.91943 
9.934 
9.925 
9.9.7 
9,508 


7 a8 40 
a8 3a 

aS 34 
38 16 

a8 8 
,8 « 


3i 36 
3i 44 
3i 5a 
3a 


9-7466= 
7468. 
74700 

747'9 


18 
:S 
18 
'9 


10.35338 
35319 
a53oo 
35381 
a5a63 
a5a44 


82790 
83817 
83844 
83871 
83899 


3b 
36 
36 


.0.17338 
17110 
17183 
17156 
17.39 
1710. 


08.09 

o8i34 
08143 


8 
8 

8 

8 


9.9.900 

9.857 


"™- 


HOUIA.B. 


Coniie. 


Diff. 


Seeult. 


ColangBnl 


Kff 


Tangem. 


Cosecant 


Dia^ 


Sine. 



Sacondi of time 


!■ 


2- 


3- 


4- 


5' 


6- 


7* 


Prop-pMUofcoU.^ B 

(c 


3 


5 

7 


7 

3 


i4 
4 


5 


(4 
6 


17 
34 

7 



M 


lIouri.M 


RourF.H. 


Si™. 


Diff. 


Cosecam. 


Ta=K^.. 


m 


Coumgent 


Secanl. 


Diff. 


Co.ine. 


M 

60 


7 28 o 


433 


9.74756 




10.35344 


'il'^ 





10.17.01 


10.08.43 




9.9.857 




57 5j 


33 8 


74775 




35335 


» 


17074 






91849 


u 




=7 'i4 


33 16 


74794, 




25306 


83953 


1 


17047 


08160 




91840 


3 


37 36 


3i 34 


74811 




35 1 88 


82980 


1 




08168 




91832 


5j 


4 
■5 


J? 18 


32 3i 


74B3i 




35169 


83oo8 




16992 


08177 




91823 


56 
55 


7 17 10 


4 31 40 


9.7485q 




io.35,5o 


9.83o35 


.o.,6965 


1^:^05 




9,91815 


6 




33 48 


"^ 74868 




25l33 


83o6i 




16938 


08194 




9.806 


54 




37 4 


33 56 


74887 




35.13 


830S9 




',X 






91798 
91789 


53 


8 


j6 56 


33 4 


74906 




35094 


83T1? 




o831I 




53 


_? 


a6 48 


33 11 


74914 


3 


=5o7S 


83i44 




.6856 


08319 




91781 


5i 
5o 


7 a6 40 


4 33 20 


9.74943 


3 


io.i5o57 


9.83171 




10.16839 


I0.08336I I 


9.9.773 




16 32 


33 38 


7456. 


3- 


35o39 


83106 




16803 


083371 3 


9.^3 


11 




36 14 


33 36 




4 


35030 


83335 


5 


.6775 


08245 




9.755 


i3 


36 lO 


3344 


74999 


4 


l5oo. 


83i5i 


6 


16748 






91746 


47 


i4 


36 8 


33 52 




4 


34983 


83380 


6 


16730 


08263 


1 


5i73B 


46 
45 


75 


736 


434 


9.75o36 


5 


10.34964 


9.83307 




.0..6603 
16666 


10.08371 




9.91739 


16 


35 53 


34 8 


75054 


5 


34946 


83334 




08380 




91730 


4i 




35 44 


34 16 


75073 


5 


34937 


8336. 


8 


16639 


08288 




91711 


43 


18 


35 36 


34 34 


75091 


6 


14909 


83388 


8 


16611 


08297 


3 


91703 


41 


!9 


35 38 


34 33 


75, To 


6 


14890 


8341 5 


_9 


16585 


O83o5 


3 


91695 


41 

40 


7 35 30 


4 34 4o 


9.75118 


6 


10.14872 


9.83443 


9 


IO.I655S 


io.o83i4 


T 


9.9.686 




35 .3 


34 48 


75.47 


6 


14853 


^83470 


9 


i653o 


08333 


3 


9.677 


U 




35 4 


34 56 


75.65 


7 


34835 


834^ 




■ 65o3 


o833i 


3 


9.669 


33 


34 56 


35 4 


75184 




34816 


83534 




16476 


o834o 


3 


9166^ 


37 


=4 


34 48 


35 13 


75103 


Jl 


34796 


83551 


11 


.6449 


08349 


3 


91651 


36 
35 


7 34 40 


4 35 20 






to. 14779 


9.83578 




10.. 6433 


10.08357 


4 


9.91643 


16 


3433 


35 aS 


75i3q 


8 


24761 


836o5 




\fsn 


08366 


4 


91634 


34 




34 34 


35 36 


75i5g 


8 


14742 


83633 




08375 


4 


91635 


33 


18 


34 .6 


35 44 


75376 


9 


14724 


83659 


i3 


■6341 


08383 


4 


91617 


32 


19 

3o 


34 8 


35 51 


75394 


9 
9 


34706 


63686 


■ 3 


i63i4 


08393 


4 


91608 


3i 

38 


7 34 


4 36 


9.753.3 


10.34687 


9.83713 


14 


10.. 6287 


10.08401 


4 


9.91599 


3r 


33 53 


36 8 


7533. 


9 


34669 


83740 


t4 


16260 


08409 
084.8 


4 


TX 


It 


3i 


23 44 


36 16 


75350 




34656 


83768 


14 


16=33 


5 


33 


23 36 


36 34 


75368 




24633 


83795 


i5 


i63o5 


08417 


5 


91573 


27 


34 
35 


33 38 


36 3i 


75386 


IQ 


14614 


83831 


i5 


.6178 


08435 


5 


Im 


26 
25 


7 33 20 


4 36 40 


9.75405 




10.34595 


n^l 


16 


io.i6i5i 


lo. 08444 


"5- 


9.91556 


36 


23 t3 


36 48 


75423 




34577 


16 


16114 


08453 


5 


9.547 


34 


37 


i3 4 


36 56 


75441 




34559 


83903 




.6097 


08463 


5 


;i53a 


13 


38 


13 56 


37 4 


75459 




14541 


83930 




16070 


08470 


5 


9i53o 




39 
40 


31 48 


37 [3 


75478 




14533 


83957 


18 


16043 


08479 


6 


9i5ji 


— 


7 11 40 


43710 


9-75496 




10.34504 


9.83984 


18 


10.16016 


.o.o848fl 


"6" 


9.915.3 


4i 


11 3i 


37 18 


755i4 


i3 


34486 


84S11 


18 


15989 


DS496 


6 


9.504 


;i 


43 




37 36 


75533 


i3 


34467 


84o38 


'9 


15963 


o8565 


6 


';X 


43 


33 16 


3744 


75551 


i3 


14449 


84o65 


'9 


i5p5 


oS5i4 


6 


17 


44 
4S 


33 8 


37 53 


75559 


i3 


34431 


840,1 




i5^ 


08533 


6 


91477 


16 

i5 




4 38 


9.75587 


r4 


10.34413 


9.84119 
84.46 




i^HMT 


7^:3853; 


7 


9.91469 


46 


21 52 


38 6 


75605 


14 


34395 




15854 


o854o 


7 




■4 


47 


21 44 


38 16 


75634 


i4 


34376 


84173 




1 5817 


St 


7 


9!45i 


i3 


48 


31 36 


38 34 


75643 


■ 5 


14358 


8430O 




i58oo 


7 


9:441 




49 
5o 


31 38 




75660 


i5 
1 5" 


14340 


84137 


31 


15773 


08567 


J- 


^■433 


". 




4 38 40 


9.75678 


.0.14313 


9-84254 


-JJ 


10.. 5746 


10.08575 




9.9.425 


5i 




38 48 


75696 


16 


243o4 


84180 


33 


15730 


08584 


7 


9.4.6 


1 


53 


31 4 


38 56 


757.4 


.6 


34186 


84307 


i3 




08593 


8 


9.407 


53 


30 56 


39 4 


75733 


16 


34367 


84334 


14 


08602 


8 


-.X 


7 


54 
55 


10 48 


39 ,3 


7575. 


'7 


34349 


8436 r 


34 


I5639 


08611 


8 


6 
5 


7 10 4o 


439=0 


9.75769 


17 


10. 34=3 1 


9.84368 


35 


.o,>56,3 


.0.0S6.9 
08626 


8 


9.9138. 


56 


10 33 


3918 


7578? 


.71 24ii3 


844i5 


25 


15585 


8 


9.373 


4 


57 


30 34 


3936 


75805 


17 


14195 


84443 


26 


15558 


08637 


8 


9.363 


3 


58 


20 [6 


3944 


75833 


18 


24177 


84469 
84496 


16 


i553i 


08646 


8 


91354 




55 


10 8 


3951 


75841 


18 


34159 


27 


i55o4 


08655 


9 


91345 




60 
M 


10 40 


75859 




34141 


84533 


37 


15477 


08664 


9 


91336 




H«irp.u.lHoiiri.lI. 


Cosine. 


Diff 


Secani, 




Tangent 


CosBcanl. 


Diff: 


Sine. 


M 



Seconds of time 


l- 


2" 


3* 


4- 


5- 


6- 


7- 




(A 


a 


5 


, 






■ 4 


16 


Prop.p«rtoofcol-. 


^ 


3 


7 


10 


:4 


17 


10 


34 




(c 


1 


3 


3 


4 5 


7 


8 



•^^l TABLE XXVII. 

^'- Log. Sinea, Tangenls, and Secants. ^'^ 
3SP A A B B C C 144" 


M 

3 
4 


Hc™ii.« 


HOUTPJI. 


Sine. 


Diff 


Cosecaml. 


■JW™.. 


UifT 


3o«mg«nt 


Secant. 


Diff 


Cod»e. 


M 

57 

56 
55 
54 
53 

53 

5. 
55 

% 
47 

46 
45 
44 
43 

43 

4. 

40 

37 
36 
35 
34 
33 

33 

3. 
3o 

S 

35 

34 

33 

i 

12 

i5 
i4 

i3 

1 
6 


1944 
■9=8 


440 
40 8 
4o 16 
4o =4 
40 3a 


9.75859 
75877 
75895 
75913 
75931 


° 


io.34i4i 

34133 
34105 
■ 24087 
34069 


84550 
84576 
846o3 
84630 


° 


io. 15477 
i545o 
15434 
15397 
15370 


08673 
08690 


I 


9.9E336 
91338 
913.9 
913.0 
9i3or 


b 
6 

8 
_? 

(3 

i4 
i5 
i6 

1? 

i3 

M 

36 

a8 

3o 
3i 

35 

33 
34 
35 
36 
3? 
38 
3? 
4o 
4i 
4i 
43 
44 
45 
46 
47 
48 
'!? 
5o 
5i 
Sa 
53 

54 
55 
56 

M 


7 19 ao 

19 n 

18 4& 


4 40 40 
40 48 

40 56 

41 4 

4l 13 


75967 
75585 
76003 
76031 


3 


34o33 
34oi5 
33997 
33979 


'84684 
8471: 
84738 
' 84764 


3 

3 

4 
4 


10.15343 
i53i6 
.5389 
.5363 
15336 


0S717 

0873, 
08743 


4- 


9.374 
91366 
91357 
9.91348 
9.339 

9-330 

9I33I 


7 IS 4o 
18 3a 
18 a4 
iB 16 
18 8 


4 4i 30 
4i 38 
41 36 
41 44 
41 5a 


9.76039 
76067 
76075 
76093 
76.11 


3 
3 
4 
4 
4 


■33^43 

33^35 

33907 
33889 


9.84791 
84818 

848^^ 


i 

5 

6 

_6 

7 
8 
8 
8 


i5iS3 
15.55 
i5i38 
i5ioi 


10.08753 
08761 
08770 


7 JB 
17 5a 
>7 44 
17 36 
17 18 


445 

41 8 
43 16 
4a 34 
43 33 


'11 

7618a 


4 
5 
5 
5 
6 


33836 
a38l8 
338oo 


85o33 


.o.,5075 
.5o48 

.5031 

1-4994 
14967 


0883; 

o8B33 


3 
3 
3 


;).9iao3 
9.194 
9..e3 
9..7« 
91.67 


17 ' 
16 56 
1648 


44340 
43 48 
4a 56 
43 4 

43 13 


9.76318 
76336 
76353 
76371 
76389 


b 
6 
5 

i 

8 
9 


.0.33783 
33764 
33747 
33739 
33711 


85ii3 
85Mo 
85.66 


9 
9 


10.14941 

•X 

i486o 
14834 


10.08843 
0885 1 
08859 
08B68 
08877 


3 


9.9i'5« 
91149 
9.<4. 


16 33 

16 M 
16 16 
16 8 


4 43 30 

43 38 
43 36 
4344 
43 53 


9.76307 
76334 
76343 
7636f^ 
76378 


,0.33693 
336?6 
33658 
33640 

33633 


9.85193 

85347 
85373 
85300 


Is 


10.14807 
14780 
14753 
147=7 
14700 


10.088B6 
08895 
08904 
08913 
oSbas 




9.9111J 
91078 


i5 53 
15 44 
i5 36 
l5 :i8 


444 
44 8 
44 16 
4434 
4433 




9 
9 
9 


io.336o5 
33587 
3356^ 
33553 
33534 


9.85337 
85354 
85380 
85407 
85434 


i4 
i4 
i5 
i5 


.0.14673 

14646 
i463o 


08940 

SIS 

08967 




9-9>o69 
91060 

9.043 
9.033 


7 i5 io 

l5 13 

■5 4 
■4 56 

i4 4S 


44440 
44 48 

44 56 

45 4 
45 13 


76501 

76519 
7653; 
76554 


li 


io.335]6 

33463 
33446 


9,B546o 
65487 
855i4 
85540 
B5567 


]6 
16 


10.. 4540 
i45i3 
■ 4486 
i446o 
.4433 


0899! 


5 
6 
6 
6 


9.9.033 

W96 
90987 


l4 33 

i4a4 
i4 16 

14 8 


4 45 30 
4538 
45 36 
4544 
4553 


76607 
76635 
76643 


i3 
i3 


:o.33438 
33410 
33393 
33375 
33358 


9.85594 

85647 
85674 
86700 


18 
'9 
'9 


io.j44o6 
i438o 
.4353 
14336 
i43oo 


10.09033 

09040 


6 
6 
6 

; 


9.90978 
90969 
90960 
9095. 
90943 


7 i4 
i3 53 
i3 44 
i3 36 
i3 38 


4 46 
46 8 
46 16 
46 34 
46 33 


9.76660 
76677 
76695 
76713 
7&73O 


14 
i4 
14 
i4 


33333 
333o5 
333B8 


9.85737 
85754 
85780 
85807 
85834 


31 


10.14373 
l4a46 

l4330 


09094 
09104 


7 
7 
7 
7 


J. 90933 
909^4 


'■AT, 

13 48 


4 46 40 
46 48 

46 56 

47 4 

47 13 


9-76747 
76765 
767B3 
76800 
76817 


i5 
i5 
i5 
16 
16 


33335 

333l8 
33300 

a3i93 


9.85860 

85940 
85967 


33 
33 

=4 

34 


io.i4i4o 
i4ii3 
.4087 
14060 

i4o33 


10.09113 

09133 
09.3. 
09140 


8 
8 
8 
8 


!^5, 


13 3l 

13 a4 

13 16 
13 8 


4 47 ao 
47 aB 
47 36 
47 44 


9.76835 
''76853 
76870 
76887 
76904 
76933 


18 


.0.33165 
33i48 
33i3o 
33.13 
33096 
33078 


9.85993 
86010 
86o46 

86136 


34 

35 
35 

36 

36 


13937 


,0.09.58 

09.68 
09177 
091B6 
09195 
0930; 


8 
9 
9 
9 
9 


9S.3 
5^,4 
90805 


5 
4 
3 


H 


Honrpji 


Hour A.M. 


Cosine. 


Diff.l Secant. 


Cotangeni 


Diff 


TangeDL 


Coiecanl. 


Diff. 


Sine. 



BeooDds of time 


1' 


2" 


3- 


i' 


&•. 


6* 


7' 


Prop. partBofcoli. J B 

Ic 


3 


4 


3 


9 
i3 

5' 


17 
6 


i3 

7 


16 
a3 
8 



M 


HourlJI 


Hourp.!!. 


Sice. 


Diff 


CosMOnl. 


TangeBl. 


Dig 


3otang.n1 


Secsnt. 


Diff. 


Coaine. 


M 

60 


7 la 


4 48 


9.7693" 




to. 33078 


9.86136 




■0. 13874 


10.09304 




9.90706 
90787 




II 5a 


48 8 


76939 




a3o6i 


861 53 




13847 


00313 




11 




II 44 


48 16 


76^7 




a3o43 


ZU 




l38a[ 


09333 






3 


II 36 


48 a4 


76974 




a3oa6 




13794 






P768 


57 


4 

"5 


11 a8 


48 3a 


7699' 




a3oo9 


8633a 




13768 


0934. 


1 


90759 


56 
55 


7 II so 


4 48 40 


'■^ 




10.12991 


9.86359 




io.i374i 


10.09150 




9.90750 


6 




48 48 




33974 


86385 




1371 5 


09359 




90741 


54 


7 


II ^ 


48 56 


77043 




33957 


86313 




13688 


09369 
09178 




;o73i 


53 


8 


10 56 


49 4 


77061 




33939 


86338 




13663 




90733 


5a 


-? 


10 48 


49 r» 




~ 


33933 


86365 




13635 


09387 




90713 


5i 

5o 


7,04c 


4 49^0 


9.77095 




33870 


9.S6393 




.o.i36o8 


10.09396 




9-90704 


13 


10 3i 
10 li 


49 a8 
45 36 


771 3o 




864 18 
86445 


5 


i358a 
■ 3555 


09306 
00315 


I 


^. 


8 


]3 


10 iG 


4944 


77147 




aa853 


86471 


6 


13539 


09334 




90676 


47 


i4 
i5 


10 8 


49 5a 


77164 




aa836 


86498 


6 


.35oa 


09333 


a' 


90667 


46 
45 




4 5o 


9-77I8, 




10.33819 


9-86534 


7 


.0.13476 


10.09343 




9.90657 


i6 


95. 


5o 8 


77in 




3380! 


86551 


7 


'^t^ 


09353 




90648 


44 


'7 


944 


5o 16 




33784 


86577 




0936. 


3 


90639 


43 


.8 


936 


50 a4 


77^33 




33767 


866o3 




T3397 


09370 


3 


90635 


43 


12 


9 a8 


5o33 


77250 


~6 


31750 


S6630 


8 


,33?^ 


09380 


3 


90630 


4i 


7 9 JO 


45040 


9.77368 


10.3373a 


9-86656 


9 


10.13344 


-3 


T 


9-9061. 




9 11 


So 48 


T7a85 


6 


33715 


86683 


9 


i33i7 


3 


9060a 


37 


i3 


li 


5o 56 
5i 4 


77303 
773 '9 


6 


Si 


86?3S 




•M 


^1^ 


3 

4 


^Ul 


"j5 


8 48 


5l 13 


77336 


7 


aa664 


8676a 


.1 


i333S 


09436 


4 


90574 


36 
35 


7 8 40 


45. ao 


9.77353 


7 


.0.33647 


'•K^ 




IO.,331, 


10.09435 


T 


9-90565 


)6 


8 3j 




77370 




33630 




i3i85 


09445 


4 


'^555 


34 




8 j4 


5i 36 


77387 


8 


3a6i3 


86843 




.3i58 


o$454 


4 


90546 


33 


i8 


8 16 


5i 44 


77405 


8 


aa595 


86868 




i3i3a 


0^453 


4 


90537 


33 


39 

35 


8 8 


5i 5a 


774aa 


8 


aa576 


86894 


i3 


i3io6 


09473 


5 


90537 


3i 

35 


7 8 


4 5a 


9.77439 


9 


10.3356. 


9-86931 


13 


10. I 3079 


10.09483 


"5" 


9.90518 


3i 


7 5a 


5a 8 


77456 


9 


33544 


86947 


14 


i3o5S 


0949. 


5 


90509 


It 


3:1 


7 44 


5a 16 


77473 


9 


33537 


86974 


14 


i3o36 




5 


90499 


33 


7 36 


5a 34 


77490 


9 


33510 


87000 


i5 


r3ooo 


^5 10 


5 


•^ 




34 
35 


7 38 


53 33 


77507 




334,3 


87027 


i5 


13973 


o,5ao 


5 


16 

is 


7 7 30 


4 5i 40 


9.775a4 




10.33470 


9.87053 


75" 


10.13947 


'"■•^t 


~ 


9.90471 


36 


7 1:1 


5a 48 


77541 




33459 


Zl^ 


16 




6 


90463 


34 


37 


7 4 


5a 56 


77558 




33443 


16 




09548 


6 


90453 


33 


38 


656 


53 4 


77575 




3a4a5 


87.3a 






09557 


6 


90443 




39 
4o 


6 48 


53 13 


7759' 


II 


33408 


87.58 


>7 


13843 


09566 


6 


90434 


— 


7 6 4o 


4 53ao 


'■??^ 




I0.333p, 


9.87.85 


18" 


10.138.5 


10.09576 


6 


9.90434 


4i 


6 31 


53 38 




33374 


873.1 


18 


.3789 


09585 


6 


9o4i5 


;i 


4i 


6 a4 


53 36 


77643 




33357 


87338 


18 


.3763 


09595 




90405 


43 


6 16 


5344 


77660 




33340 


87364 


'9 


13736 


0^ 




^'^ 


'7 


44 
45 


6 8 


53 5a 


77677 


■ 3 
l3 


333a3 


87390 


Jl. 


13710 


09614 


7 


16 
75 


7 6 


4 54 


9.77694 


ID. 33306 


9-87817 




.0..3683 


.0-09633 




9.90377 


46 


5 5a 


54 8 


77711 


i3 


33389 


B7343 




13657 


0963a 




90368 




47 


5 44 


54 16 


77728 


i3 


33373 


1^3^ 




(363. 


09643 




90358 


i3 


4K 


5 36 


54 34 


77744 


i4 


33356 




ia6o4 


09651 


I 


90349 




4', 
5S 


5 j8 


54 33 


7776. 


14 


aaa39 


8741a 


32 


13578 


09661 


90339 


lo 


7 5 30 


45440 


9.77778 


i4 




9.87448 




.o.ia553 


10.09670 


T 




5i 


5 la 


54 48 


77795 


i5 


33ao5 


87475 




13535 


09680 


8 


'■9^^ 


1 


55 


5 4 


54 56 


778.3 


i5 


33188 


875fci 


^3 


"^ 


09689 


8 


9o3ii 


53 


4 56 


55 4 


77839 
77S46 


i5 


aai7i 


87537 


a3 


09699 

oyTofi 


8 


9o3o, 




54 


4 48 


55 la 


i5 


aa.54 


87554 


94 


13446 


8 


90191 


6 

5 


7 4 40 


4 55ao 


9.77863 


16 


I0.33I38 


9.87580 


34 


I0..343O 


10.09718 


9 




56 


4 3a 


55 38 


If^ 


16 




87606 


35 


VM 


097371 9 


90373 


4 


57 


4 34 


55 36 


16 


aaio4 


87633 


aS 


097371 9 


90363 


3 


5S 


4 16 


5544 


779i3 


16 


aao87 


^ 


36 


1 3341 


o^46 9 


^0354 




59 


4 8 


55 5a 


77930 


17 




36 


ia3i5 


09756 9 


90344 




60 
M 


4 


56 


77946 


17 


i3o54 


877.. 


36 


13369 


09765 9 


90335 


M 


HOUIP.H 


H00Ti..Jt. 


CcHine. 


KIT 


Setant 


CMai«™t 


m. 


T^pmt. 




Sine. 



Seconds of time..:... 


1' 


2- 


3* 


4- 


5- 


6- 


7- 


Prop, parta of co&. < B 

tc 


3 


4 
7 


6 

4 


9 
i3 
S 


17 

e 


i3 

7 


i5 

33 

8 



3P 




A 




A 


B ' 




B 


c 




C 142^1 


M 


Houri.H 


[I0U1P.M. 


Sine. 


DifT 


Coe«canl. 


T««™l 


Diff 


ColangeDt 


Secant. 


Diff 


Cosine. 


M 

65 


7 4 o 


456 


9.77946 




.0.33054 


9.877.. 




,o.,a389 


,0.09765 




9.90335 




3 5a 


56 8 


77963 




33037 


87738 




I3a6a 


09775 




90335 


5o 




3 44 


56 16 


77980 






87764 




,3336 


09784 






5I 


3 


3 36 


56 34 


77997 




3300; 


87790 






0979- 




90306 


5? 


4 
5 


3 38 


56 33 


780.3 




31987 


878 171 a 


.3,83 


0^53 




90197 


56 
55 


7-3 30 


4 56 40 


9.78030 




10.31970 




.o.,3.57 


.o.«*.3 




9.90187 


6 


3 la 


56 48 


78047 




3.953 




.3.3. 


0983 a 




90.78 


54 




3 4 


56 56 


78063 




31937 




.3,05 


09833 




90168 


53 


8 


1 56 


57 4 


78080 




31930 


87933 


3 


.3078 


0^. 




90.59 


5a 


^ 


348 


57 13 


78097 




31^3 


87948 


4 


,3o5a 


0985. 




90.49 


5. 
53 


7 3 4o 


45730 


9.78M3 


~3" 


.0,3,887 


9.87974 


~ 


.O.I3036 


.0.0986, 




9.90.3^ 




3 3l 


57 38 


78.3d 




31870 


88000 


5 




09870 






it 




3 i4 


57 36 


78147 




3.653 


88037 


5 


1.973 


09860 




90.30 


i3 


3 l6 


5744 


78163 




a 1837 


88o53 


6 


M$47 


09889 




90. .1 


47 


[4 
i6 


3 8 


5? 5a 


78)80 






88079 


6 


,193. 


09899 




90.01 


46 
44 


I 5a 


58 e 


"SS 


— 


.o.a.8o3 
3.7B7 


9.88.05 


I 


■'■\'X 


10.09909 
09918 




9.9009, 
90081 




I 44 


58 16 


78330 






88. 5t 


7 


..84; 


09938 




90073 


43 


iS 


: 36 


58 U 


78346 




3^754 


88.84 


8 




09937 




90063 


4a 


!9 


I 38 


• 58 33 


78a63 


-5 


3.737 




8 


1.790 


09947 




90053 


4. 
4o 


7 I 30 


458 40 


9.78=80 


.0.31730 


9.88336 


9 


.0...764 


10.09957 




9.90043 






58 48 


78396 




3.704 


8S36a 


9 


.,738 


09966 




90034 


S 




1 ' 


58 56 


^3i3 




a. 687 


S8389 
883i5 






09976 




90034 


»3 


o 56 


59 4 


& 




3,67; 




..685 


o5?86 




900.4 


37 


i4 

55 


o48 


59 .a 




3.654 


S834I 


10 


1.659 


09995 




90005 


36 
35 


7 o4o 


45930 


9.78363 




10. 3.638 


9.88367 




,0.1 .633 






"Sgii 


26 


33 


5938 


S 




3l6»l 






..607 


'.oo.i 




34 




O 34 


59 36 




ai6o5 


88430 




1.560 






B»76 


33 


i8 


o 16 


5^44 


784.3 




3.588 






..554 


,oo3, 




8«66 


3a 


19 

3o 


o 8 


5953 


7843B 




3.57a 


68473 


.3 


..536 


10044 




899M 


3, 
33 


7 o o 


5 


9.78445 


~8 


10.3.555 


9.6849S 


'T3 


,o.n5o3 


10.10053 




9.89947 


3i 


6 5953 


8 


7846. 




3,539 


885a4 


14 


1,476 


1006; 




89937 


It 


3a 


5944 


16 


78478 




3i5aa 


68550 


'4 


i,45o 






899=7 


33 


59 36 


34 


78494 




a,5o6 


88577 


'4 


..4a3 


.0083 




8,9,8 




34 
35 


59 38 


3a 


785.0 




a. 490 


86603 


.5 


"397 


.0093 




89,08 


a6 

l5 


6 59 30 


5 040 


9.78537 




.0.3.473 




"75 


,o...37i 






'■SS2S 


36 


591a 


o48 


78543 




31457 


88655 


.6 


(,345 




6 


34 


3? 


^^ 


56 


78560 




3 1 440 


8863. 


16 


.,3.9 




6 


89679 


33 


36 


I 4 


78576 




a.434 


88707 




d 


,oi3. 


6 


e^se^ 




4i 


58 48 




7859a 




3.408 


88733 


'7 


ior4. 


6 


69859 


'9 


6 58 40 
58 3a 


5 I 30 

I 38 


"S 




■"1;^; 


"S 


18 


,0..,34l 
.13.4 


'.0.60 


~6 
7 


9-89849 
89840 


4i 


58 34 


I 36 


7864= 




3,358 


888.3 


18 


...88 




7 


89830 


iB 


43 


58 16 


I 44 


ixx 




3.343 


88838 


'9 


I..63 


10.80 


7 


89830 




44 
45 


58 8 


I 53 


786,4 




3.336 


88854 


i? 


...36 


10190 


_2_ 


898.0 


'■> 


658 


5 3 


9.7K9I 




'°i;S 


9.B8890 






,0.10.99 




9.8980. 


46 


5753 


3 8 


78707 


I3 


889T6 




'i,o84 


10309 


7 


l^t\ 




47 


5744 


3 16 


78713 


i3. 3 [377 


88943 




,to58 


103.9 


8 


i3 


48 


57 36 


3 34 


ss 


i3 31361 


88968 




..o3a 


.0339 


8 


89771 




49 
5o 


57 38 


3 33 




a.a44 


88994 




,,006 


,0339 




8976. 


To 


6 57 30 


5 340 


9.78773 




,0.3. 338 


9,89030 




10.10980 




~r 


9.89753 


3i 


57.3 


1 48 


78788 






'89046 




10^54 


.0358 


8 


89743 


t 


5i 


57 4 


3 56 


78805 




3.195 


890^3 


33 


.0937 


.oa68 




8973a 


53 
54 
55 


56 56 
56 48 


3 4 

3 13 


78831 

78837 




:;;s 


It!? 


33 

>4 


\Xi 


loa88 


9 
_9. 


8973a 
897. s 


7 
6 
5 


6 56 40 


5 330 


9.78853 




10.3.147 


9.8915, 


34 


.0797 




9 


9.89703 


56 

57 


56 33 
56 34 


3 38 

3 36 


78869 
788S6 




3. .3, 

3, .14 


69177 
89303 


34 

35 


lo3o7 
io3,7 


9 
9 


'&, 


4 
3 


58 


56 16 


3 44 


7890a 




IX 


89339 


35 






9 


89673 




59 


56 8 


3 53 


785.8 




89355 


36 


I0745 


,0337 




89663 




H 


56 


4 


78934 




aio66 


89361 


a6 


.07.9 


,o347 


10 


89653 


i 


Hourp-H. 


H<.urA.M. 


CMloe. 


rai 


SetaoL 


Coisugeni 


■xe. 


Timgenl. 


Coseeaal. 


ffiff. 


Sine. 



Second, of time 


1' 


a* 


3- 


4- 


5" 


6' 


i4 

33 


P«>p.p«t.ofcol..{B 


3 


4 


6 
4 


8 

i3 
9 


.6 
6 


7 



M 


HourA,M 


Hoacf.H 


Bine. 


Diff 


|Cc.iee»i.l 


Ta«p»t. 


D^ 


ColBDgen 


SeOBDL. 


ae 


Cosine. 


M 


656 


5 4 


9.78934 




.o.a,o66 


9.8938. 







10..O347 




^89653 


I 


55 5a 
55 44 


4 8 
4 16 


78967 


° 


a.o5o 
3io33 


^ 





;^: 


n>357 


I 


89643 
89633 


u 


■ 


55 36 


4 a4 


78?83 






^U 




,064. 


10376 




89634 


57 


4 

-5 


55 j8 


4 33 


78999 


1 


aiooi 


3 


io6i5 


io386 




8^.4 


56 
55 


6 55,0 


5 440 


9.79015 




■0.30985 


9.89411 




IO.I0580 


10.10396 




[(.89604 


6 

7 


55 n 

55 4 


4 5( 


7903. 
79047 


I 


l^ 


S^fal 


3 

3 


10563 
70537 


10406 
104.6 




i?a 


54 
53 


8 


54 56 


5 4 


7?o63 




^Ij 


t^ 


3 


io5ii 


io4a6 




89574 


53 


.2 


54 48 


5 13 


, 79"79 




3093. 


4 


10485 


10436 




89554 


5. 
5o 


6 54 40 


5 5 30 


9.79095 


~ 


10.30005 


9.89541 


~4 


10.10459 
.o43S 


10.10446 




?, 89554 




54 3j 


5 38 


79111 


3 


89567 


5 


10456 




89544 


s 




54 34 


5 36 


79.^8 


3 


»o8?t 


89593 


5 


10407 


.o466 




89534 


:3 


54 r6 


544 


79144 


3 


ao856 


© 


6 


io38i 


10476 




89534 


47 


i4 
75 


54 8 


5 5a 


79160 


4 


ao84o 


6 


io355 


10486 




89514 


46 
45 


"0 54 


5 6 


9.79176 


4:10.30834 


,.196,, 


~6 


10.10339 
io3o3 


10.10496 




J. 89504 


16 


53 53 


6 8 


79193 


4 


30S08 


•5697 




io5o5 




8^g5 


44 


17 


53 44 


6 16 


79308 


5 


S0793 


'W'3 




10377 


io5i5 




8^65 


43 


18 


53 36 


6 34 


79"4 


5 


30776 


za 


8 


I035l 


.o535 




89475 


4j 


i? 


53 18 


6 3a 


79'4o 


5 


30760 


__6_ 


10335 


io535 




89465 


4i 
40 


6 53 10 


5 6 40 


9.79356 


~ 


10.30744 


9.89801 


9 


1017! 


.0.10545 




9.89455 




53 la 


548 


79373 


6 


30738 


89337 


9 


io555 




89445 


!l 




53 4 


6 56 


79388 


6 




89853 




.0,47 


10565 




89435 


»3 


5a 56 


7 ■! 


793o'i 


6 


3 


ss? 






10575 




89435 


37 


j5 


5j 48 




79319 


6 


10 


10095 






8^.5 


36 
35 


6 5i4o 


5 7=0 


9.79335 




,0. 30665 


9.89931 




'10043 


10.. 0595 




9.69405 


16 


5j 3j 


7 38 


79351 




30649 
30633 


89957 




10605 




PM 


34 




5i a4 


7 36 


79367 




8^83 






.o6i5 




33 


16 
3^ 


53 .6 
5i 6 


7 44 
■7 5a 


7^383 
79399 


8 


30617 
30601 


PS? 


w 


ii 


10635 
io636 




89375 
8,364 


33 

3. 
3o 


6 5a 


5 8 


9-79415 


■"8 




9.90061 


13 


10.09939 


10.. 0646 


^ 


9.89354 


3i 
3i 


5i 53 
5( 44 


8 8 
8 16 


7943. 
79447 


8 
8 


3o55S 


90086 

90II3 


i3 
i4 


^ 


10656 
10666 


5 
5 


89344 
89334 


.1 


33 


5i 36 


8 94 


79463 


9 


30537 


90,38 


14 


09861 


10676 


6 


89334 


"7 


34 
35 


5[ a8 


8 3a 


7^78 


_9 


3o5aa 


90.64 


i5 


09836 


10686 





893.4 


36 
55 


6 5i 10 


5 8 40 


9-79494 


9 


I0.305oG 


9.90190 


15 


10.098,0 


.0 .0696 


"6" 


9.89304 


36 


5( 13 


8 46 


795.0 




a 0490 


903,6 


16 


09784 


.0706 


6 


nx 


34 


3? 


5[ 4 


8 56 


79536 




30474 


9034a 


16 


09758 


10716 


6 


33 


38 


5o 56 


9 4 


79543 




30458 


90368 


16 


09733 




6 


89374 




39 
40 


50 48 
6 5o 40 


9 (3 


79558 




3o44a 


90394 


17 


09706 


10736 


7 


89364 


^ 


5 930 


9.79573 


17 


10,30437 


9.90330 


17 


10.09680 


.o..074d 


7 


9.89354 


ii 


5o 35 


9a8 


79589 




304il 


90346 


18 


09654 


.0756 


7 


89344 


;i 


4-' 


5oa4 


936 


7960? 




30395 


90371 


18 


^? 


10767 


7 


89333 


43 


5o 16 


944 


7?6a, 




30379 


90397 


'9 


10777 


7 


8^333 


17 


44 
45 


5o 8 


953 


79636 




3o364 


?o433 


Jl 


09577 


10787 


7 


i^3.3 


16 
Is 


65o 


5-0 


9.7965= 


"TT 


io.ao348 


9.90449 
_ 90475 


'9 


.0.0955. 


10.10797 


-8 


9.89303 


46 


49 5j 


10 8 


79668 




30333 




09535 


10807 


8 


^M 


14 


47 


4944 


TO 16 


79684 




ao3[6 






^s 


108.7 


8 


i3 


48 


49 36 


10 34 


^ 


i3 




^5?7 




10837 


8 


89173 




49 
5^ 


49 '8 


10 33 


i3 
13 


3oa85 


90553 




09447 


io83e 


8 


ijie. 


— 


6 49- 


5 iQ 40 


9.79731 


io.3ua69 


9.90578 


~3a" 


10.09433 


1^1^848 


"T 


9.89151 




49 11 


10 48 


79746 


>4 


30354 


90604 




09396 


io858 


9 


'8914. 


1 




^5^ 


10 56 


7976a 


14 


30138 


9o63o 




09370 


1086S 


9 


89131 


53 


11 4 


79778 


■ 4 




90656 


33 


09344 


10878 


9 


891.. 


7 


54 
55 
56 


48 48 




79793 


14 


30307 


^a 


j3 


0^.8 


10888 


_9 


Si„ 


6 

-5 
4 


6 48 4o 
43 33 


5 11 ao 
ri 38 


'■,1SI 


"is 

i5 


■-::;?; 


9.90708 
90734 


14 

34 


'"Z^ 


.o..oe99 
10909 


9 
9 


9.5,1.1 


57 


48 34 


ti 36 


79840 


.5 


30160 


^U 


a5 


0934. 


.0919 




3 




4S 16 


11 44 


79856 


i5 


aor44 


35 


093.5 






89071 




^ 


48 8 


11 5a 


7?87a 


16 


30138 


^.T 


36 


09.80 
09163 






89060 




60 
M 


48 


Hour*.H. 


79887 


16 

as. 


aoTi3 


90837 


36 






89050 


M 


Hour p.p.. 


Cosine. 


Secaoi. 


Coumfen. 


Jiff. 


Tuigwii. 


COMCUL 


Mi 


Sine. 



Seconds of time 


!■ 


3* 


3- 


4* 


5" 


6' 


?• 


Prop p«rt. of col.. \ B 


3 


4 
6 
3 


6 
4 


8 
i3 

5 


16 
6 


19 
S 


i4 

33 

9 



PW<») 


TABLE XXVII. 






5'. 


Log. Sines, Tangents, and Secants. 


ai. 


39= 


A A B 




B 


C C 140" 


M 


H(MirA.> 


H(«rr.>. 


Suie. 


Diir 


CowcanL 


Tangent. 


Dii 


Cowngent 


Secam. Diff. 


Coiiiie. 


M 
6^ 


6 48 


5 13 o 


9-79887 




10.30113 


9-9^7 




10.09163 




9,89050 


[ 


47 5i 
47 44 


13 8 

la i6 


79903 
79918 




30097 
aooBa 




° 


09137 
0911. 


"1^ 
10970 


'8^0 
89030 


H 


3 


47 36 


la 34 


79934 




30066 


90914 




09086 


10980 1 


89030 


57 


4 

1 


47 »B 


la 33 


7995<^ 


' 


30050 




3 


09060 


1099. 


4 


89009 


56 
55 


6 47 30 


5 ;a 40 


9.79965 




10. 30035 


9.90966 




10.09034 




1|i 


6 


47 " 

47 4 


\l'£ 


7998. 

79996 


I 


30019 


?tSJ 


3 
3 


09008 
06983 


II033 




54 
53 


6 


46 56 


i3 4 


80013 




19988 


9.043 


3 


08957 


iio33 




8B^ 


53 


-? 


46 48 


l3 13 


80037 


3 


19973 


9.069 


4 


0893, 


11043 




88958 


5i 
55 

it 


M 


M§a 


5 i3 30 
|3 38 


9.80043 
8oo58 


3 

3 


10.19957 
1994a 


9.9.095 

91. JT 


4 
5 


'"'21 


'..06; 




8fio3T 




46 14 


.3 36 


80074 


3 


19936 


9"47 


5 


. "073 


3 eeia; 


i3 


46 i6 


,3 44 


S0089 


3 




9.(73 


6 


08838 


..o83 




889,, 
B8906 


47 


75 


46 8 


i3 53 


8o7o5 


4 


9..98 


6 


oS8oa 


■'"94 




46 
45 


6 46 o 


5 i4 o 




4 




9.9.334 


"6 




.0.11104 


~ 


■6 


45 53 


i4 8 


Soi36 


4 


19864 


9i35o 




08750 


111.4 




44 




45 44 


i4 i6 


8oi5i 


4 


19849 


9.376 




08734 


11.35 




88875 


43 


i8 


45 36 


i4 34 


80166 


5 


19834 


9.301 


8 


^ 


iii35 




88865 


4? 
45 


1? 


45 38 


14 33 


SoiSa 


5 


,Pi8 


9.337 


8 


11145 




88855 


6 45 30 


5 i4 4o 


9.80197 


5 


■0.19803 


9.91353 


9 


.0.08647 


.0. 11156 


~3 


9.88844 




45 13 


■ 4 48 


803 [3 


5 


19787 


91379 


9 


08631 


11166 




88834 


S 




^^ A 


14 56 


&0338 


6 


19773 


9.404 


9 


08596 


11176 




83834 


a3 


M 56 


i5 4 


&0344 


6 


19756 


9.430 




o85?o 


.1.87 






37 


^ 

^ 


44 48 


■ 5 13 


B0359 


6 


■9741 


9.456 




08544 


1 1 197 






36 
35 


6 44 40 


5i5 3o 


9.&0374 


~6 




9.9.483 




.0.085.8 






'■K 


ii6 


44 33 


i5 38 


803,0 






9.507 




08493 
08467 


11318 




34 


^7 


44 34 


i5 36 


8o3o5 




!^ 


9.533 




11338 




88773 


33 


38 


44 16 


i5 44 


■ Bo33o 


7 


& 




08441 


11339 




88761 


33 


39 

35 


44 8 


i5 53 


8o336 


7 


19664 




084.5 


11349 




88751 


3. 
35 


644 


5.6 o 


o.Bo35i 


~8^ 


10.19649 


9.916.0 


"iy 


10.08390 
08364 


10.11359 


"5" 


9.88741 


3i 


43 53 


i6 8 


8o366 




.9634 


9'636 




11370 




887-30 


It 


3a 


43 44 


.6 .6 


8o383 


8 


.96.B 


91663 




o8338 


11380 




88730 


33 


43 36 


i6 34 


B0397 


8 


.9603 


91688 




o83.a 


1139L 


6 


88709 


37 


34 
35 


43 38 


i6 33 


8o4i3 


9 
9 


.9588 


9.7.3 




08387 


ii3o. 


6 


B8699 


36 


6 43 30 


5 .6 4o 


9.80436 




'■;:^! 




10.08361 


.0. 113.3 


~6 


9.88688 


36 


43 13 


i6 48 




9 


.9557 




08335 


11333 


6 




34 


3? 


43 4 


i6 56 


8o458 


9 


.^43 


91791 




08309 


11333 


6 




a3 


38 


4a 56 


17 A 


80473 




.p37 


p.sle 




08184 


11343 




88657 




39 
4o 


43 48 




8o48d 




19511 


9.843 




oei58 


11353 




88647 


~ 


6 43 4o 


5I7 30 


9.8o5o4 




10.19496 
.9481 


9.9.868 




.O.o8i33 


10. 11364 




9.88636 


ii 


43 3i 


>7>e 


805.9 




''9.893 




08.07 


11374 


7 


88636 


;i 


4i> 


43 34 


■7 36 


eo534 




.9466 


1;^? 




0808. 


1.385 


7 




43 


43 i6 


n 44 


8o55d 




.9450 




o8o55 


1 1395 


7 


88605 


17 


44 
45 


43 8 


17 53 


8o565 




,?435 


9.971 




08039 


1.406 


8 


88594 


16 

i5 


6 43 o 


5 iB o 


9.8o58o 




10.19430 


9.91996 




10.08004 


.0.114.6 


8 


51.88584 


46 


4: 53 


i8 8 


80595 




19405 


- 93033 




07978 


1 1437 


8 


88573 


■ 4 


47 


41 44 


i8 i6 


SoeTo 




19390 


93o4( 




07953 


1.437 


8 


88563 


i3 


48 


4i 36 


I8 34 


80635 




iW^ 


93073 




07937 


II448 


8 


8B553 




49 
5o 


4r 38 


i8 33 


80641 


i3 


1^35, 


93099 






1.458 


_9 


88543 


To 


6 4. ao 


5 .8 4o 


9.80656 


i3 


10.19344 


9.93.35 






.0.11469 


9 


9.8853. 
88537 


5i 




18 48 


8067T 


i3 


19339 


''93.50 






"479 


9 


I 


5j 


4i 4 


|8 56 


80686 


i3 


193 13 


93.76 




07834 


..49S 


9 


835JO 


53 


4o 56 


.9 4 


80701 


i4 


\IT. 








1.55. 


9 


S3?; 


7 


54 
55 


40 48 


19 13 


80716 


i4 


93337 




07773 


1.5.1 


_£ 


6 
5 


6 4o4o 


5 19 30 


9,80731 


i4 


■0.19369 


9 93353 




10.07747 


.0.1.533 




9.88478 


56 


4o3a 


19 38 


80746 


14 


19354 


93379 




07731 


..533 




8845S 


4 


P. 


4oa4 


.936 


80763 


(5 


19338 


93304 




07696 


u543 




88457 


3 


58 


40 i6 


.944 


80777 


i5 


19333 


93330 




07670 


1.553 




88447 




59 


4o 8 


.953 


80793 


i5 


19308 


9=356 




07644 


..564 




88436 




6o 
M 


4o o 


30 a 


80807 


i5 


19193 


9j38i 


36 


07619 


1.575 




884=5 


M 


Hourr.H. 


H«irA.>. 


CmIdb. 


Diff. 


Secanl. 


Cotangen 


£iff 


Tangnnt. 


CcBSeanl 


Diff, Sine. 





V 


3- 


3- 


4- 


fi- 


6* 


7" 


f A 
P»p.Ii«rtBofool«. B 

(c 


3 


4 
6 
3 


6 

4 


8 
i3 
5 


le 

7 


«9 
8 


i3 

33 

9 







TABLE XXVII. 




[PM>» 


S'. 


Log. Sioes, TanseDts, and Secaata. 




a. 






C 




H 


HoorA.M 


HoiatM. 


Sire. 


Diff 


CoMcanl- 


Tangenl. 


Diff 


Colansriil 


aecmil. 


Diff.' Cosine 


SI 

6c 


6 40 < 


5 M 








9.91381 




10.076,9 
07595 


10.1.575 




p.884a5 






ao fl 


808a: 










1.585 




884.5 


a 






ao If 


8o83: 






9143, 






i.59t 




8840-1 






ao 34 


8o85; 




19148 


9i45( 










88394 
88383 




4 
5 


39=8 








19133 


9148. 




075r6 


1 1617 




56 


6 39 20 


5 3040 


9,8088a 










'°S5S 


.0 „6a» 




.881-,-, 


t 


39 1; 


au 48 


8089: 








^ 


.i63t 




8836a 


••^ 




38 5b 


ao 5« 


8091; 








,s 


SS 


..6i< 




88351 


51 












,t 


m66< 




8834c 


-ia 


V 




ai II 




1 


,90.8 


9=6.1 


4 


07368 


1 1670 


a 


8833o 


5i 
5n 


6 38 4o 


5 ai 10 






■0.1 904) 


9.91631 


4 


to, 07361 






'■a 




38 3; 




8097^ 




.|9oa8 




5 


07337 


1.69: 




8 

45 


i3 

iS 


38 .6 
38 8 


ai 44 
ai 5i 


8rooa 
81017 


3 
3 


\m 


91689 
9>7.5 
93740 


6 

6 

-6 


07185 


1171; 
ii7a4 


3 


'a 

88176 


6 38 I 




9.8io3i 


4 


.0.18968 




io.07a34 


.0.1173. 




9.88a66 










4 
















44 




























iH 




aa M 










H 


07157 




3 


88134 


41 


£9 






b.09. 
9.81 I0< 


— 


[8909 
10.1B894 


91868 


8 
9 


071 3a 


11777 


3 


88113 


4. 

40 


6 37 3o 


5aa4o 




.0.07.06 




4 


9.881.1 


















070B0 


























07055 




4 881Q1 




i.'i 


36 5* 


a3 4 


SiiSi 


6 


18849 










4 


88160 


3-- 


i4 
q1 


36 4a 


a3 la 


8ii6< 


6 




91996 




07004 


ii83i 


4 


B8ib9 


36 




5a3a« 


,.8i.& 












4 


9.8815a 


















06951 


1.85: 






iA 




36 j< 


a3 36 






,8790 


9307; 






.186: 


5 


8813^ 


.i.i 


















ft 










1! 


36 'a 


l3 Sa 


8ia4< 


7 


18760 


93ra, 


la 


ii8ff5 


5 


8Sii5 


3. 
3o 




Sa4 


o.BiiS. 




10.18746 




.3 


.o.o6eSo 




5 


9.88105 


.13 


35 4.f 


14 16 


«,ifli 


R 


18716 


9^.75 


iJ 

i4 


06635 


,19^ 


fi 


88094 
88oS3 


^t 


3d 


35 3b 


a4a4 


8ia99 


8 




9I117 




„9i( 


6 


8807a 




T5 












93151 


~iK 


06748 


"93< 




88061 


15 




5 14 40 


9.8i3af 




10.18671 




.of^ai 


10.11949 
















[8657 




i5 


06697 






88o4c 


^ 
















r6 








88019 
88018 














[86j8 




rd 


06646 


..98; 






i9 
4< 






9.8140a 








-^ 


06610 


,,^-i 


7 


88007 


i 


34 3a 


i5 a8 


'"Issls 


9,9340*, 


'°1l 


io.iaoo4 
iaoi5 


7 


"SS? 


4i 






8i43i 




.8569 






110a! 












81446 






93485 


iH 


o65i8 


.io3t 




879&I 


17 


45 








4f 


18539 


93508 


_1? 


06491 


I304: 




87953 


i5 


6 34 


5 j6 


9.8M75 


m.i85a5 


9,9353: 


10,06467 


io.iao5i 












Br49t 


















47 




16 16 






■.it 

1S466 






o64i6 






,.i 


49 

5o 


33 38 


a6 a4 
j6 3a 


8153; 


la 


93636 


a? 


06390 
o6364 


.1091 


9 

9 


tm 


" 


6 33 ao 




'■s;a 




io.,H45. 


9-93661 


TO. 06339 
o63i3 










33 i: 


a6 48 


i.< 


18437 






Ilia; 






? 




• 33 . 


16 56 


8i57f 


i3 








o6a88 






87&6t 








81591 


i3 


t84o8 




■>( 


0616a 






87855 




55 




37 u 


81607 


i3 


i83o3 


9376; 


a3 


o6a37 


lJi5G 




8784^ 



5 


6 3a 40, 


5 17 ao 




14 




9.93789 




To.o6aii 


10,11167 




i,.87fl3.1 






17 a8 


8[63( 


14 


18364 


9381. 


34 


ofi.86 


.a.7t 










3j h 




8i65i 










06160 








1 








Bt665 


i4 




03865 


iS 


o6i35 






87800 




l>9 






8T68t 




i83]o 




iS 


06109 




11 . 87789 




M 


3j < 


18 


8.W. 


Diff. 


i83o6 


93916 


lb 


06084 




H 


HourP.lf 


HourA.H. 


Co^e. 


S«aiil. 




Kff.' Tuigenl, 


COWCSDI 


Diff.| HiM. 



Beconda of time 


!■ 


2* 


3- 


i- 


5* 


6' 


7- 


Prop, ports of ooli, < B 

(c 


3 


4 
6 
3 


6 
d 


i3 

5 


9 
16 

7 


'9 
8 


i3 
9 



Cfy . 



41 






A 




A 


b' 




B 


C 




C 138=1 


U 


Ht>arA.K 


EIciurr.H. 


Sine. 


Diff 


Cosetant. 


tangenl. 


DHL 


^otangenl 


Secan.. 


DiA'. 


CoeiiK. 


H 




5»a 






.0..8306 






10.06084 






fj.8r778 




3i 5i 


33 E 


t:ii^ 




18)91 














u 




3i 4 


18 ]6 










o6o33 


.334; 






1 


3t 36 


38 3d 






18=62 








133 5f 








4 




38 3i 


81751 


-T 


18348 


94o,a 


3 


05983 


13366 


-^ 




55 


■fi 31 .r, 




9.8.767 




9-9404. 




LO.05956 


.0.13377 


iP.87713 




3l i: 








1S319 


sa 










877.1 








8179' a 


18304 




o588o 






8770. 






3o 5& ao <l 




18190 














_? 


3o 4i 




8i8a5 


3 




94.46 


4 


o5854 




-T 




53 


6 3o4o 


5 30 30 










4 


10.05830 


■0.,3333 


,.B7«>8 




3o 33 


3^36 




1 


1B146 


94,9- 










870^ 


t 




3o a< 




8i86( 


.1 


i8i33 


9433^ 












ri 


3o .6 






.1 


18118 


9434! 




o575i 








in 


<4 


30 f 


3,53 


8,897 


3 


]6io3 


94373 




05717 








45 


6 3o o 


53o 




4 


10.1H089 




t) 


.0.0570. 


10.. 1387 




,.876.3 


■ft 


39 5= 






4 






7 














.94. 


3o 16 


8.940 




18060 


94351 




o565o 


13410 




B7590 




iH 


,93. 


30 3J 




4 


18045 












87568 




19 


.,.1 




8.9b. 


5 




944" 1 










4o 


639,. 


5 3o 40 




10.18017 






[0.05574 


.0..344; 


4 


9.87557 














9445; 
















It 4 


3o 56 




5 


17988 


9447: 




05533 










j.l 


3l A 


83036 


5 




9450: 




05497 










i4 


18 4( 


3t 13 


83041 


6 


17959 


94538 












35 




5 3. 30 


9.83055 


*i 


10.17945 


9.9455. 




.0.05446 


io.i349< 






jf. 


18 3i 


3. 38 


83069 


6 








0543 1 






87490 






iS 3i 


3. 36 




6 




9460. 










87479 
87468 






»8 16 


31 4i 


8309! 






9463< 












So 


>8 t 


3i 53 




7 




94655 












To 


6 18 


5 33 


9.83C36 






9.»^68, 




10.033.9 




b 


9.87446 


,1i 


2753 
17 44 


33 16 


83i4i 
83.55 


I 


;?!S 


94733 




05368 


,3577 


6 


87433 


it 






33 34 




8 








05343 










3i 


17 a. 


33 33 


83 IS, 


8 


178,6 


94783 


-75 


o53I7 


.359. 






is 


6 17 ao 


■5 1, 40 


9.8119) 


8 


.0.17803 


9.9480! 


'o5i65 




9.87390 


w 




33 46 


















34 


3i 


17 , 


33 5t 


8333G 






9485. 








7 






Ifl 


36 56 


















7 






4o 


36 46 


33 .3 


83355 


_9 


'7745 


94910 




05090 




7 






6 36 40 


5 33 30 


'tS 




9.94935 




io.o5o65 






9.87334 


4i 




33 38 






94961 




o5o3t 








;i 






33 3e 






















36 16 


33 4d 








95S.; 






1370c 








44 
4fl 






83336 




.7674 


95037 






1 17 13 






.5 






n Hi.Mo 




ro.,^ 






10.04938 




8 






j5 53 














04913 








.4 






34 16 


8336t 






95.,: 














4M 


i5 36 


34 34 


8338s 




17618 












B734J 




g 


a5 3l 




83396 




.7604 










V 




73 


6 35« 


53440 


9.834.0 




.0..7590 






10.04810 


10.13779 


9 


9.87331 


■ii 


35 i; 




8343' 
















B 


t 




i5 - 


34 56 


8145; 






95341 












34 5t 






'7545 


9536t 












54 




35 13 


83467 




17533 


95391 




04709 




lU 




■5 


6 14 40 


5 35 ao 


o.Si48t 




-,fa 




33 


10. 04583 


10.. 3836 




9.87164 




34 3^ 


35 aS 






'?534; 










87. 5J 






34 3i 




e35o< 












118:5 




87-41 






34 It 














04607 










Vl 


34 f 


35 53 


83537 










Q458a 










M 


34 


36 


83551 


■4 


17449 


9544^ 




04556 




11 


67107 


M 


Hourr.B. 


Houri.M. 


Cosine. 


w. 


Secut. 


CoUngeni 


ms 


T«.gen.. 


COMWIUII. 


,Diir 


Sine. 



Stcondi of time 


!■ 


a- 


3- 


4- 


y 


6- 


7" 


Ptoi..pwt»ofc«Li. B 


3 


4 

6 

3 


S 
4 


7 
i3 
6 


9 
16 

7 


'9 
S 


'i 



42" 


TABLE XXVII. l"-^ 
Log. Sines, Tangents, and Secanta. '^'■ 
A A B B C C 137° 


M 

3 
4 
"5 
6 

8 
_? 

i3 
■4 

75 
i6 

\l 

12 

11 

34 
i5 

i6 

38 

3i 
3j 
33 

34 


II«.r*.«.iHourp.«. 


Sine. 


OifT. 


Cosceant 


Tingf.nl. 


Diir. 


Co,aiig«m 


S«rgaU 


Diff 


CMinn- 


M 

6^ 

57 
56 
55 
54 
53 
5. 
5i 
5^ 

S 

47 

46 

45 

44 
43 

4t 
41 
40 

37 
36 
35 
34 
33 
3i 
3, 
3o 

11 
U 

M 

i 

'7 
.6 
75 
.4 
■ 3 

'I 
I 


6M o|5 36 D 
a3 Sai 36 8 
33 44\ 36 i6 
i3 3a' J6 i4 
23 3S' 36 3i 


9.8355, 
83565 

IS? 

81607 


I 


10.17449 
17435 
174.1 
17407 
17393 


9.95444 

B 

,5545 


^ 


0453 1 
o45o5 
'>44So 
04455 


.0.1. «9J 
,3904 
.39.5 
119.7 
11^38 


J. 


9,87107 

B7073 
6706. 


6 a3 lo 

33 13 


5 36 40 
36 48 

36 5G 

37 4 

37 T3 


9.B361. 
83635 
83649 
8j663 
83677 


I 


17351 
17337 
173.3 


9.9557, 
'95M 

95613 

95647 
9567) 


3 
3 

3 
4 


10.04439 
04404 
04378 
04353 
04318 


,o-,i95o 
1196, 
13973 
13984 
11995 


9,87050 

87016 
87005 


6«4o 

11 33 
21 34 
33 l< 


37 36 

37 44 

37 53 


9.83691 

^8=7^5 

8=719 

8J733 

83747 


3 
3 
3 
3 


"IS? 

17367 

,7353 


957.3 
95748 
95774 
95799 


5 
5 
5 
6 


10.04301 
04.77 
04.5. 
04..6 
04101 


.0.13007 
i3oiB 
.3o3o 
,3o4i 
,3o53 


3 
3 


86970 
86959 
86947 


31 53 

31 44 
31 36 

31 l8 


3B 8 
3B 16 
38 34 
38 3) 


9.83761 

8^788 
8:.8o3 
83816 


4 
4 
4 
4 


10.17339 
17335 


9.95815 
95850 
958,5 
95901 

. 95936 


b 
7 

I 

8 


.0.04.75 
o4i5o 
o4i.5 
04099 
04074 


,3076 
1 3087 


3 
3 
3 
3 
4 


9.B6936 

86^34 
869,3 
86^3 
8689" 


6 3, 30 

ao 5f 
io4B 


5 3B 40 
38 48 
38 56 


9.8=830 
8^844 
8j858 
83875 
83865 


5 
5 
5 
6 
-6" 
6 
6 
6 
7 


.7115 


9.9595. 
95977 
96001 
96038 
96053 


8 

9 
9 


.o.o4o4B 
o4o.3 
03998 
03971 
03947 


i3i33 
,3,45 
■ 3i56 
i3i68 


4 
4 
4 
4 
5 


9.86879 
86867 
86855 
86844 
86S3i 


6 3O40 
30 3a 

lO 34 

lo i6 
lo 8 


^!|38 

i^5. 


835.7 
83941 
81955 


17087 
,7073 

17045 


9,96078 
96,04 

& 
96180 


!3 


'03896 
03871 
03845 
o38io 


.0..3.79 
,3191 

|3301 

.33,4 
,3.i5 


5 
5 
5 
6 


9.86811 

86766 
86775 


6 lo o 
1953 

■'^ 

1938 


5 40' 
40 8 
40 16 
4o 34 
40 33 


9.8.968 
8.98. 
83996 

830.3 


7 

8 
8 
-8 
8 
8 
9 
9 


io.;703. 

16990 

i«977 


9-96105 
9633, 
96356 
96381 
96307 


i3 
14 
■4 

14 




i3i6o 
13373 

.3383 


8 

6 
6 

7 


9-86763 

^86753 

86740 

86718 

86717 


36 
37 
38 
^ 
4o 
4i 

43 

43 
44 
45 

47 
48 
49 
5S 
5i 
5i 
53 
54 
55 
56 
57 
53 

1 

M 


6,9«' 

19 13 

l8 4t 


5 4o 40 
40 46 

40 56 
4i 4 

41 M 


9-83037 
83o5i 
83o65 
83078 
83093 


r6o33 


9.96333 
9635 
9638 
96408 
9fi433 


i5 
16 
,6 
,6 


.0.03668 
o3643 
o36.7 
0359. 
03567 


,0-.3a95 

133.6 
.33,8 
.3330 
,3341 


7 
7 
7 

I 


9.86705 

'66694 

86681 

86670 

86659 


18 33 
,8 8 


5 4i 30 
41 38 
4[ 36 
4r 44 
4i 53 


9.83^06 
83130 
83(33 
83 1 47 
83i6i 


9 
9 


,o.,689i 
,6880 
16667 
16853 
16639 


^5io 
96535 
96660 


'7 
18 
18 
■9 


.o.o354i 
o35i6 
03490 
03465 
o344o 


.3365 
13376 
13388 
i34oo 


8 
8 
8 
8 


S6614 
86613 
86600 


17 53 

17 38 


43 16 
43 34 
4333 


9-83,74 
83>88 
83.03 
83n5 
83339 


1; 


10. ,68.6 
168,. 

1677' 


96636 
96663 
96687 


'9 
>9 

30 

1r 
33 


10.034 1 4 
03389 

(.3338 
o33i3 


.o.,34ii 
.3433 
.3435 
,3446 
.345b 


9 
9 
9 
9 

9 


9.86689 

86554 
86543 


16 s 
.6 48 


54340 

43 5f 
43 4 
43 13 


83)56 
83370 
83j83 
83.97 


ii 


10,16758 
16744 
16730 


9.96713 
96738 
96763 
96788 
96814 


io.o3388 
03.63 

03337 
o3iii 
o3iS6 


13483 

.35S 
135.7 




8fi5i8 
865o7 
B64?5 
S6483 


16 33 
16 34 
16 16 
16 8 
16 


5 43 30 
43 38 
43 36 
43 44 

43 53 

44 


9.B3310 
83334 
83338 
8335, 
83365 
83378 


i3 
i3 
i3 
i3 

i4 
14 
Diff 


10.16690 
16676 
16661 

!6G3? 
16611 


96915 
96940 


33 

34 

14 

35 

i5 

35 


i<..<.3,6, 
d3i36 
03,. 
o3o85 
o3o6o 
o3o34 


I0..35.8 
i354o 
■ 3553 
13564 
13575 
13587 




'as 

86448 
86436 
86435 
864.3 


4 

3 

M 


Hourp.li 


H«ir*.« 


CoiFno. 


Recnnl. 


ColnnKcn 


Diff 


T-iipni. 


CosBcanl. 


Diff 


SiM. 



SecondiofUme | !■ 


3" 3* 


4- 


5- 


6- 


T 


Flop, parti of cols. 


(A 1 


3 5 

6 .0 
3 4 


,3 
6 


9 
16 

7 


"9 
9 


M 



4-r 




A 


A 


° b' 




" B 


c 




C 138-1 


H 


Hmiri-H 


Hourp.M. 


Sine. 


Diir 


Coie.-ai.l. 


T.i.Ecn,. 


Diir 


roangcnl 


Secant iWff. 


Co«w. 


Bf 


6.6 . 


5 44 


9.B337I 






9-96V66 




io.o3o34 


io.,3587f 


























^ 






44 16 


834o; 




;sa? 








l36.l; 


86389 






44 34 












i36i; 




86377 


57 


1 








1 


i655B 


97007 


-^ 


fa933 


.363. 


i 




■i5 




5 4440 


9-83446 




lo.ie^SJ 




'"■^r 


io.[36dD 




9.8535^ 








83473 
















'•^ 










.6Sj7 


























i65i4 






qia83l 


13683 






5i 


J! 












97.93 


4 


oa8o7 


.309, 




863d6 


5i 

5o 


6 i4 4o 




9.835i; 




lo-i6t»7 




4 








'■SS5 








835a- 










0=756 






t 




i4 a- 










97569 




0173. 


.3719 




















01705 


i374i 


.1 


863S9 




T5 








.3 




973=0 




036B0 


.375; 




86347 


46 






9.835H1 


io..(i4,9 




6 


io.oa655 


TO.. .1-765 


i 


.186,35 


45 


















oaCag 




3 r 8631; 
















9739! 




oa6o4 


.3789 




86311 












4 








V&\ 




4 


86100 


43 


19 


i3 aS 


46 3i 


8363( 


4 




97447 


8 


i38ia 




86188 


4i 
4^ 
















in..3Sa. 


4 


9.Hfi.--fi 
















9 


oa5o3 


i3S3f 


4 


861&1 




















03477 


13S4E 


4 


861 5i 




li 


11 5( 


47 4 


836St 


■; 


i63.] 


9754( 






i386o 


5 


86140 


.17 


■'A 


■ MS 


47 [5 


83701 


"6 


16199 


97573 


-1£ 


oa4J7 


13873 


5 


861 1£ 


35 


6 .140 


547=0 




K...6185 


9.9759* 




10. .388. 


9.86116 












1617a 


9761; 




03376 






8610; 






11 3, 




















86091 
86ofio 


.li 


iH 


11 It 


47 44 


8375: 


li 


J 6145 


97(i7. 




oi3a6 


.3910 


fi 


S3 


I 


6.1 










97TOO 




03300 


.39Ja 




8606B 


% 


54s 


9.8378. 


10.J61.9 


9.97715 


t3 




io..39ii 


h 


9.flfio56 












i6ao5 




1I 


03350 








\t 






4S 16 






16.9a 


9777( 




03314 


,356i 




85o3a 












1G.79 


97801 


14 




,398. 




B6oao 




K 








"ft 






i4 
.5 


03174 


1399a 






^ 


6 II 20 


5 48 40 


9-83841 


io.i6.5a 










'■fl5^ 












;s;S 




rS 




i4oif 




3J 




11 ^ 










.11 


01098 


i4oaf 
























01073 


i4M'- 








J9 

4o 




49 fJ 


8390, 


9 


.6.>99 


97953 




01047 


i4o5i 






— 


6 -o 40 


54930 


9.839.. 


9 










.o.i4o6: 




9.6593G 


4i 








V 


.G073 






01997 


i4o7( 


M 




:t 


^5 


lO 1. 












.8 






M 








4944 






16046 






01916 






85888 


n 


44 
4S 




4953 


8J9«>: 




16033 


98071 


■9 


0191. 


i4iiJ 




75 


6 10 








10. i5oao 












9.55876 




95. 




8399- 










01870 


i4i3f 




8586^ 






94. 








;a 


98,55 






































i 


9.8 


5o It 
5 5o4o 


84o33 


^ 


.J^£l 


98106 


^ 


0179* 


.4173 






10 


6 .,10 


9-84046 






.o.i4<b5 




,.R5H.5 








M4oii 




.5,41 


98,5* 




01744 








8 




?4 
























5i 4 


84oS5 






983o7 a J 


VX 






85779 
85766 




SS 


S 48 


5i ij 


8409S 


_11 


,5,„. 


9833) 


3J 


.4a3<i 




6 

-5 


6 8 4" 




9-81MJ 


,o.,58B8 


9.98357 




,o.oi64J 


iO-i4a4f 


1. 


a, 85^51 


Sfi 


8 3; 


5i iS 






.5875 




a.i 




>4a5£ 




85741 


4 


S7 


8 3. 


5i 3fi 


84i3t 


13 


i586j 


984of 


a4 


V.^ 






85730 






8 It 


5< 44 


a4i5i 


Fl 


;?si? 


9843- 












i9 






84i& 


|3 


98458 


iS 


oi54a 


1419^ 




85706 




M 






84177 


iJ 


i53j3 


,848, 


lb 


oi5i6 


i43o: 




856,3 


H 


Hourr-H 


Haari.u. 


Cosine. 


DifT. 


SBCniit. 


Cotaiigcii 


Diff 


Tani^nL 


Coscconi- 


raff. 


SLnd. 



Seconda of time 1' 3* 


» 4- 


5* 


6' 
'9 


7- 


(A 1 3 
Prop, parte of coU.< B 3)6 

(n 3(3 


5 7 
9 i3 
S 6 


8 
16 
8 



TABLE XXVII. 
Log. Sines, Tangents, and Secanta. 



44 






A 




A 


B 




B 


C 




C 135" 


M 


HtTDTA-H. 


FIinirP.H. 


Sine. 


Diff, 


CoMKOnl. 


Tangeol. 


Diff. 


Cwaopenl 


Secant. 


Dwr. 


Cnine. 


M 








,.84,77 




io.j58i3 


9.->fl48^ 




Io.oi5i6 


io. 14307 





'■S 


6. 


















:;z 


' i43is 








7 4^ 








;S83 










B5669 




.1 




5» M 


843 Tl 




98560 




or 440 


1434: 




85657 


57 


i 


7 =8 


5a 3i 


84«. 






98585 


1 


oi4i5 


■4355 




85645 




S 


6 7 'o 




9,fl4a45 




lo. 15758 






-]\r. 


.o.>436( 




9.8563. 


55 




























7 ' 


5i 5€ 


84165 




1573, 


9866. 


3 


0,339 


1439; 




856o8 


5,' 
























85583 






6 48 




b4i9b 




i57o5 


98711 


4 


01189 


■44,: 




5, 








q.ltA^ 




.0..569. 


9.9873: 


4 


10.01263 


10.1441s 




n fiS5., 


5n 




6 3i 










98761 


S 


OI138 






85559 


49 




6 1. 




8433, 








5 


oiii3 


,445: 








i.H 


6 If 




8434- 






98SM 


% 




,4m 




85534 




r4 










i564o 


98838 


6 


on6a 






85515 


46 


IS 




554 . 


9.B437; 






<,.088«= 




.A,0,l37 


,0.14490 




9.85510 


45 


lA 










i56i5 








i45d: 




85497 
85485 


4-1 








84391 




■ 55oi 








i45i5 




41 












■Af-i 


9893s 


8 


0.061 


i45)7 




85473 


43 


'9 






8441' 




9896. 


8 


oio36 






85460 


41 


»fi 




5 54 4o 


9.84437 






9.9»98?1 
99015 




10.1455. 




9.85448 


4o 








S445i 




i555o 




00985 


i45& 




85436 


*; 








8446: 










00960 






854i3 










8447* 






9$o6: 




oop5 


.458, 




854,, 




14 








~5 






^ 








85399 




i-i 


6 4 4c 


5 55 JO 




•-AX 




10.00S84 


10.146., 




0. 85386 


35 




, 4 3 












00859 












4 a 




845ai 




















iK 


4 I' 


55 44 




6 


i546o 






0^ 




h 


85349 


:h 


»9 


4 t 


55 5i 


84553 


6 


15447 


99117 


11 


,4663 


b 


85337 


ji 


3o 


6 4 c 


556 o 




f< 


■0.15434 




i3 


,0.00758 


.o.,4&7( 


b 


9.853,4 
















































14701 




85.S? 




1.1 


3 3( 


56 a4 






\tnt 


993if 


14 


oo68a 


,47': 


■7 


1', 


34 


3 iS 


56 3i 


846r( 


7 


99343 




00657 


i47ie 




85.74 




SS 


6 3 >, 


556 4o 


9.84630 


R 


,o..5J7o 


o.9936t 






,o.,4731 


7 




i5 


.Vi 


3 t: 


56 48 


8464: 


fi 


15357 




IT 


00606 


■ 475 




85.5n 


i-i 


Jt 


3 . 


56 56 


84656 


8 


15J44 




16 


oo58r 


1476 




85i37 






1 St 


57 4 


8466s 


H 


i533i 


9944^ 


ih 


0O556 


1477 




85ii5 




J, 


a 48 




9.84694 




15318 


9^^ 


lb 


0053 [ 




T 




», 


*. 


6 > 4o 


5 57 3o 








[o.oo5o5 


io.i48oo 


□.85iou 




4> 


1 3^ 








•Xii 


995« 




00480 


i48i 






I*, 


4> 












tK 


00455 












1 i( 


57 44 






r5i67 




iM 


oo43o 




9 






44 


1 t 


57 5. 


84745 


_? 


i5i55 


99^9* 


ii 


oo4o4 




9 










558 


9-84756 


.0.1514. 








9 








I 5i 


58 8 












00354 














































i5io4 


9969: 






.49™ 








■*9 


--f^ 


58 3a 


84Bos 


^ 


>5i9, 


9973 J 


77 


00178 


.49.3 








V 


5 58 4" 


84N" 


[0..5.7S 


9-99747 




,0.14916 








Ir 










i5,65 






00117 










Ss 




58 56 






i5i53 


9979* 






.495; 




8504.; 










84S6o 




i5i4c 


9981: 






.496 










48 


5.,.. 


84S73 






99S48 






14976 .' 






I") 




S5o,. 






io.i5u5 








,o.i4q8! 1, 


V.850.. 




Vi 


o 3i 


50 If 


8489f 




i5ioj 


9989" 


14 








» 


















34 












o it 


VgiA 


8491: 








14 








84974 






o f 














oooaS 
















84949 


i3 
DJff 


i5o5r 




li 


o-Moa 






84949 


" 


M 


Houim 


Hoori-x 


CosiiB. 


Seeiini. 


Couugen 


as 


Tiu^.. 


CosecMi 


Uiff 


Sbie. 


M 





!■ 


a- 


3- 


4" 


5- 


6- 


T 




PiK^. parti of col#. 


!■ 


3 


3 

6 

3 


5 
9 
5 


6 

13- 
6 


8 
16 
8 


'9 


'i 



TABLE LI. 

To chtQge mean solu time into 

sideral time. 


TABLE UI. [PM*"" 
To change sideral time into mean 
solar time. 


ss. 


Add. 


Solu 

Hln- 


Add. 


SolHT 


^. 


aidei^l 
Hog™. 


SO^.. 


oiai. 


Sabuut 


8^' 


..„ 


3 
4 
5 
6 


H. 1. 

o 9-9 

o 19.7 
J9.6 

039.4 

It'. 


3 

4 
5 
6 


0^3 
0.5 

1:1 


3 
4 

5 

6 


I 


° 


3 
4 
5 
6 


9.8 

19.7 

-39.5 

m 


3 

4 
5 
6 


o!3 
0.5 

o'.e 


3 

4 
5 
6 


° 


° 


8 

9 


1 38.6 
1 48.4 
1 58.3 


8 
9 


r.3 
1.5 
..6 


8 
9 


I 


I 


8 
9 


1 8.8 
1 f8.6 
T 18.5 
1 38.3 
I 48.1 
1 58. 


8 
9 


i!3 

1.5 

i.6 

1.8 


i 

9 


I 


I 


■ 3 

i4 
i5 
i6 

11 


1 S.i 
3 iS.o 
a J7.8 

> 37.7 
a47.e 
157.4 


ij 

t4 
|5 
16 


1.3 
J. 5 
J. 6 
».8 
3.0 


li 
■4 
i5 
16 

18 


° 





i4 
i5 
16 

;i 


3 i7!6 

3 37-4 

3 37.3 
347.1 
3 56.9 


■ 3 

14 
i5 

.0 


sis 

3.5 

3.6 
3.8 
3.9 




I 


° 


'9 

31 
33 

a4 


3 7.3 
3 )7.t 
3-37.0 
3 36.8 
3 46.7 
3 56.6 


'9 

11 
i4 


3.1 

3.3 
3.5 

3.6 
3.8 
3.9 


■9 

a3 
J4 


I 




'9 

33 

34 


3 :6.6 
3 36.4 
3 36.3 
3 46.1 
3 55.9 


■9 

i3 
34 


313 

3.4 
3.6 
3.8 
3.9 




° 






i5 
16 

I' 


4.1 
4.3 

4.4 
4.6 

4.8 
4.9 


35 

36 

36 

IS 


I 






»5 
36 

38 

It 

33 
33 

1^ 

36 


4^3 
4-4 
4.6 
4.8 


"37' 
36 


I 






3i 
3j 
33 
34 
35 
36 

T 

39 
40 
41 
4i 


5.1 

5.3 
5.4 
5.6 
5.8 

6.1 
6.4 
6.6 
6.7 


3i 
33 

It 

36 

-w 

38 

i 

4[ 
43 


I 




5:4 
5.6 
5.7 
5.9 


I 






i 




37 
38 

4i 
41 


6]4 
6.6 
6.7 
6.9 


37 
38 

32 

41 
43 


I 






43 
44 
45 

1 


7-4 
7.6 

7-9 


43 
44 
45 
46 

47 

48 


I 




4i 

44 

45 
46 
47 
48 


B 

7-9 


43 

a 

46 
47 
48 


I 






S 

5r 
5a 

53 
54 


6.1 
8.4 
8.5 


49 
5o 
5i 

53 

53 
54 


I 




g 

5i 

53 

53 
54 


8^4 
8.5 

1:1 


i' 

Si 
5i 

53 
54 


I 






55 
56 
57 
58 
59 
60 


9.0 

B 

9-7 
9-9 


55 
56 


I 








56 
57 
58 


0.3 

9.5 

9-8 


55 

S 


° 





T6 



MIDDLE LATITUDE SAIUNO. 



BT GUNTER. 

1st The BXtmt from the dUftance 215, lo the denaitura 167,on thelineof numben, 
win reach from the nuliuBtW", to the couibb 50° 58" on the lino of sines. 

ally. Tti8 extent from radius 90°, to the complement of the courae 30° 03', on the 
line of Bines, will reach from the distance 315, to the diflereuce of latitude 135.4, on 



the li 



iofii 



3(lly. The extent from the comptement of the middle latitude 41° 37', to tlie 
radiiiH 00°, on tlie line of sines, will reach from the depaiture 1G7, to the differenco of 
loiigltiide 351.5^ ou tho Hue of numbeia. 

BT INSPECTION. 

As in Case V. Plane Sailing, find the couran by seeking in Table II. till agaimt the 
distance, in its column, is found tlie given departure in one of tho following columns, 
odjoiniiiB to which, in the other column, will be the difference of latitude, which if 
greater man the departure, the course wiU be at the top, but if leas the coune will be 
found at the bottom. Then talie the middle latitude as a course, and find the departure 
in the column of difference of latitude, agunst which, in the distance column, will be 
found the diHerence of longitude. 

Thus the distance 315, and the departure 167, are found nearly to c<HTe«pond to a 
course ofSl degrees, and a difference of latitude of 135.3 ; then with the middle latitude 
48°, as a course, 1 enter the table, and seek for the departiwe 167, in the latitude 
column ; the ditOance corresponding 350 is the difference of longitude nearly. 

In all the preceding examplea, we have used the middle latitude, without ao^ 
correction, in uomi>Liting the difference of longitude ; but when abeolnte accuracy is 

■ '" ' ■ . . ..r 'i .^ ^^ following tabletho 

res no particular explana- 

njile tvill serve to show its use. Suppose, therefore, the two latitudes 
to be 40° and 60°. Here the middle latitude is 50°, and the difference of latitude 30° ; 
the labular correction corresponding to these numbers is 57' ; adding this to 50°, we 
get the corrected iniildle latitude 50° 57', which is to be used instc^ of 50°, when 
^reat accuracy is required. We have inserted in tiie notes at the bottom of the pages, 
m the jirecedin^ examples, the values of tills correction, but have not introduced it 
into the calculationa, because it is generaQy unnecessary on account o: 

TABLE. 



required, tiiis latiliide must be corrected. We have gr\ 
value of this correction in the most common cases. It i 



ThU T&ble containB the carrection, m minutes, to be added to the Middle Latitude to 
obuin the corrected Middle Latitnde. 


Min. 
Lat. 


DiFrEBENCE or Latitdde. 


Mil.. 

L*T. 


1° 


3= 


3° 


4° 


5° 


6° 


7° 


8° 


9° 


10° 


12° 


14° 


16° 


18° 


30° 


15 
18 
21 







3 


3 
3 

a 


5 
4 
4 


7 
6 
5 


9 
8 
7 


12 
10 
9 


15 
13 
12 

11 
10 
10 


18 
IG 
15 


2G 
23 
21 


30 
32 
29 


47 
41 
37 


52 
47 


72 

64 
58 


15 
IB 
21 


:io 
:i5 








2 
2 
2 


3 
3 
3 


5 
5 
4 


7 

G 
G 


9 
8 
8 


14 
13 

la 


SO 
18 
18 


27 
25 
24 


35 
33 
32 


44 
41 
40 


54 
50 
49 


24 
30 
35 
40 
45 
50 


4U 
50 








2 

a 

3 


3 
3 


6 
5 
5 


6 
G 

7 


8 
9 


10 

u 
11 


13 

13 
U 


18 
19 
20 


25 
SG 
28 


32 
34 
30 


41 
43 

4C 


50 
53 

67 


58 
GO 










« 


3 
3 
3 


4 
4 
4 


6 
6 
C 


8 

e 

9 


10 
11 


13 
14 
14 


16 
17 

18 


23 
84 

2G 


31 
33 
35 


40 
43 

4G 


51 

65 
56 


63 
72 


55 

59 
60 


ca 

(!G 










3 

a 


3 
3 
4 


5 
5 
5 


7 
7 
8 


9 
10 
11 


12 
13 
14 


15 
IG 
18 


19 
20 
23 


27 
S9 
32 


37 
40 
43 


49 
52 
57 


82 
67 
72 


77 
83 
90 


G2 
04 
66 


70 
72 










2 
2 
3 


4 

4 
5 


G 
6 

7 


8 

10 


13 
13 
14 


15 
1G 
18 


19 
21 
23 


24 
20 


34 
42 


47 
62 

58 


oa 

G8 
76 


79 
88 
98 


99 
110 
134 


C8 
70 
72 


This Table is to bp entered at the top witti the differaut of the two Utitudea, and at 
the aide with the middle UuUaiU ; under the former, aad onptMite to the latter, is the 
corrp^Uon, in minutei, to ba addud to the middle Loitnde, to obtun the corrected 
middle latitude. 



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LOGARITHMS. 



Ik Older to abbreviate the tedious opentioiiB of inultiplicatioii and diviBioa with large 
RUmbera, a aeries of numbers, called Logarithms, was iuventetl by Loni Napier, Baron 
of Manrhiiiston in ScotlBnd, and published m Edinburgh in 1G14; 1^ meaiis of which 
tlio 0|>eratioD of multiplication may be performed by addition, and divixiou by aubtrax^ 
bon; numbera may be involved to any power by eimple multiplication, and the root 
of any i>ower extracted hy Bimjile diviaion. 

In Table XXVI. are given the logarithma of ell numbers from 1 to 9099 ; to each 
one must be prefixed an index, with a period or dot to eeparate it from the other part, 
as in decimaT fractions; the numbera from 1 to 100 are published in that table with 
their indiccB ; but from 100 to 9999 the index is left out for the sake of hrevi^ ; but it 
may be supplied by this general rule, viz. 7^ iridtx of Ihe logarithm of any mitger or 
mixul nmnitr u alieays one lat than OU number of inUgral placa tn the mdurai number. 
Thus the index of the logarithm of atiy number (integral or mixed), between 10 and 
100, is 1; from 100 to 1000, it is 3; from 1000 to 10000 is 3, &c. ; ihemethod of finding 
tlia loganthma from this table will be evident from the following examples. 

To find ihe logarithm of any ntmber less than 100. 

RiTLE. Enter the first page of the table, and opposite the given number will be 
Ibiuid the logarithm with its index prefixed. 
Thus opposite 71 is 1.85126, which is its logarithm. 

To find the logarithm of any nun^er httaeen 100 and 1000. 

RuLS. Find the given number in the left-hnnd column of the uihle of logorithmts 
and immediately under in tlie next column is a number, to which must be prelixtnl 
the number 3 as an index (because tlie uiunber connsts of three places of figures), and 
you will have the sought logarithm. 

Thus, if the logarithm of 149 was requu^ ; this niimlier being found in the left- 
hand column, agauist it, in the column mariced at tlie top (or bottom), is found 17319, 
to which prefixing the index 3, we have the k^jarithm of 1^=3.173111. 

To find the logarithm of any numier betioten 1000 and 10000. 

RuLK. Fmd the three kft-hand figures of the given number, in the left-band column 
of the table of logarithms, opposite to which, in the column that is marked nt tlie top 
(or bottom) with Sie fourth hgure, is to be found the sought logarithm ; to which uiiist 
be prefixed the index 3, because the number contains four jilaces of figures. 

Thus, if the logarithm of 1495 was required ; opposite to 149, and in the column 
marked 5 at the top (or bottom), is 17464, to which prefix the index 3, and we have the 
■ought logaiithm, 3.17464. 

To find the logarithm of any ntaiAer (Aove 10000. 

RuiA. Find the three first figures of the given number In the left-liand column of 
the table, and the fourth figure at the top or bottom, and take out the corresponding 
number as in tlie preceding rule ; take abo tlie ditference lietween tliis lousritlim end 
the next greater, and multiply it by the given number exclusive of the four nrnl figures; 
crose off at the right hand of the pnxluct as maii^ figures as you had figures of the 
^ven number to multiply by ; then odd the rcmauiing left- liaiid figures of tliis jirotlnct 
to the logarithm takei) Irom the table, and to the sum prefix an index equal to otie lest 



L0GA&ITHH3. 



b^uidui'- To fiwilitste the oJculation of these pn^MRkmal partsj sereral small uiblei 
are placed in the mugin, which give the cnrrecuon coirespondiog to the di^rence D, 
and to the^yj^ figure of the propoaed uiunber. The lue of these tables wiL be seen in 
the foUowiiig exfunptes. 

Thu8,ifthe logarithm of 14957 was t«quii«d; oppoate to 149, and under 5, is 17461; 
the difference between this and the next greater number, 17490; is 39, the difference D ; 
this multiplied by 7 (the last figure of the given number) gives SOSj crossing off the 
right-hand figure leaves 30J or 30 to be added to 17464, which makes 17484; to thU 
prefixing the index 4, we have the sought logoritlmi, 4.17484. This correction, SO; 
may also be found by inspection in the email table in the margin, marked at the top 
wiui D =: 29, and opposite to t\ieJiJVt figure of the number, namely 7, at the nde ; the 
cprresponding number is the correction, 20. 

Again, if the logarithm of 1495738 was rcquu^d ; the logarithm corresponding to 
149 at the lefi, and 5 at the top, is, as in the last example, ]74t^; the difference between 
this and the next greater is 39 ; multiplying this by 73S (which Is equal to the Eiven - 
number, excluding uie four first figures) givea 21402; crossing off the three right-hand 
figures of this prtxluct [l>ecause the number 738 consists of three figures), we nave the 
correction 21 to be added to 17464 ; and the index to be prefixed is 6, because the 

¥ 'yen number constBlE of 7 placesof figures; therefore the sought logarithm iB6.1748S. 
his correction, 21, may be found as dxive, by means of the marginal table, marked at 
the top with D = 39, and at the side 7^ or 7i nearly, to which corresponds 31, as 
befbre. 

To Jind the iogaritim of any mixed dectMot number. 
Rule. Find the logarithm of the ntunber, as if it was an integer, by the last rule, to 
which prefix the index of the integral port of the given number. 

Thus, if the logarithm of the mixed decimal 149.5738 w«s required; find the 
logarithm of 1495738, without noticing tlie decimal point; this, in tJie last example 
was found io be 17465 ; to this we must prefix the index 3, coireaponding to the integral 
part 149 ; the logarithm sought will therefore be 2.17485. 

To JtTui the logarithm of any decimal fraction Uu than unify. 
The index of the logarithm of any number len than unity is negative ; but to avoid 



the mixture of poehiva and negative quantities, it is common to Borrow 10 or 100 it 
the index, whicn must afterwoi^s be neglected in summing them with other indices 
thus, instead of writing the index — 1, it is utually wntlen -{-9, or -(-99; but in 
general it is sufficient to borrow 10 in the index; aadti it teiat wt shall ebmlherttt 
of lias worL In tliia way we may find the logarithm of any decimal fraction by the 
folbwing rule. 

Rin.E. Find the logarithm ofa fraction as if it was a whole niunber; Mehowmatir 
ciphera precede the first figure of the decimal fraction, subtract that number from V, 
and the remainder will be uie index of the given fivction. 

Thus the logarithm of 8,0391 is 8^9318; the logarithm of 0JI5 is 9.39794; the 
logarithm of OJW00035 is i3^7H, &c 

To Jind the logarithm of a m^gar fraction. 

RiTLE. Bubtnust the logarithm of the denominator from the logarithm of die 
numerator (borrowing 10 in the index when the deuominatar is the greatest]; the 
remainder will be the logaritlmi of the fraction sou^t. 



EXAMPLE I. 
Required the logarithm of |. 

Fromkw. of 3 0.47713 

Take log. of B ft90309 

Remainder, log. off or .375 9J7403 



EXAMPLE 11. 

Required the logarithm of 3^, or -fj^. 

Fn>mlog.ofl3 1.II3M 

■Wteiog-of 4 oxaaofl 

RanMPder,log.ef3jaraaS... 0lSU39 



To Jind the number corretponding to any logarithm. 

Rule. In die column marked at the top(andbottom)of the table, seek for the next 

leal It^srithm, neglecting the index; note ue number agumt it, and carry yont^]'* 



30 LOOAKITIIMS. 

along that line until 70U find the nearest leas logarithm to the given one, ana you mi 
have the fourth figure of the given number at the top, which is to be placed to Iba 
ri^t or. the three othei figures ; if you wish for greater accuracy, you must take tlie 
differeriiM!, D, betweeu this tabular logarithm and tfie aext greater, alao the clifrereiic& 
d, between that least tabular logarithm and the ^ven one ; to the latter difference, d, 
annex t^'o or more ciphers at the right baud, and divide it by the former difference, D, 
and place the quotient* to the right hand of the four figures already found, and you 
wiU have the number Bought, expressed In a mixed decimal, Ilie integral part of which 
will consiat of a number of figures (al the left lund] equal to the indes of the logarithm 
increased by unity .f 

Thus, if tlie number correaponding to the logarithm 1.59634 was required, we find 
536^ hi the column marked at the top or uottom, end opposite to it is33C; now, 
the liKlex being 1, the soui^t nundter must consist of two integral places | therefore it 
U33J0. 

If the given Ic^arithm was 3.33838, we find that 33838 stands m the column 
marked at the top or bottom, directly opposite to 313, which is the number sought, 
because, the Index being 2, the uumber must consist of three places of figures. 

If the number corresponding to the logarithm 3.57345 ivna required, we must look 
in the column ; and we find ui it, ogeinHi the number 374, the logarithm 57387 ; and, 
guiding tlie eye along lliat line, we find the given logarithm, 5/345, in the column 
marked 5 ; tliereforc Uie mixed number sought is 3745 ; awl, since tlie Index is 2, the 
integral port must consiut of 3 places ; therefore the number souglit Is 374.5. If th« 
index be 1, the number vf]l\ be 37.4Sj and if the index be 0, the number will be 3.745. 
If the index he 8, corresponduig to a number leas than imity, the answer will be 
ft03745,&c 

Again, if the number corresponding to the logarithm 5.S7811 was required, look in 
the column 0, and find in it, against 37B, and under 5, tlie logaritlim 57807, tjie difierence 
between this and the next greater logarithm, 5781 8, being If, and tlie difference between 
57807 and ttie given number, 57811, beuig 4 ; to this 4 affix two ciphers, which make 
400, aiid divide it by 1] ; tlie quotient is 36 nearly ; this number, being connected with 
die former four figures, ntakes 37853G, which is tlie uumber required, since, the index 
being 5, the uiunber must consist of six pktces of figures. 

To show, at one view, the mdices corresponding to mixed and decunal numben^ vn 
have given the tbllowing table. 



Mixed number. LogarUkmt, 

iOSmjO Log. 4.01318 

4094.^ Log. 3Jii318 

409.43 Log. 3J;i3i8 

■ 4U043 Imk. IX>I318 

4;0&43 Log.0Jil318 



Decimal ruaiAtT. LagOrUhmM. 

0.4C94-1 Log. 9J1I218 

0X4C94:) Log. 8.C13I8 

0.004094:1 Log. 7.GI3I8 

a0004094» I.rf>g. aCI3l8 

0.00004U943 Log. 5.61318 



MULTIPLICATION BY LOGARITHMS. 

Rtn.ik Add the Ingnrithmii of the two numbera to bo multiplied, tmd the sum will 



EXAMPLE L 
Multiply 25 by 35. 

as I.og. 1.19704 

35 Log. 1,^407 

Product, 875 Log. 2.94301 



EXAMPLE II. 
Multiply 33J by 1.8. 

23.4 l>)g. 1.15035 

1.8 Ug. 0.2553 7 

Pivduct, 40;12 Log. iXXXSt 



■ Tha qunlieni mual connln of (u many uIbco nf figurm ai llwrs were riphcn niinexcil, coiifoimabla 
. Il» rales of tin iliii-iiiiH of drriinnlj. Tli.tt, if il« dUUot ntu W, »ii.i ilie iiunihcr 10 '.vliirli iwo 
' as 3, mnkiit); tS)0, (lie qunili'iil must iml l>e calimiilcd as b, bul as UD, auU Uien 
'' *■''""'""""' — ea before fiHincl. 

t, you iDusl plBee ■» miuiy ciphen lo llw led nf 
_ 11, llw iluciiual |wiul lieiiig placed luUwIcHof 

Wc nay Giiil (be finii Ij^m (if Ibe mguirnJ Muntwrli}' meiai of iIk marranat Inblci. hy enlAiing Iha 
table eorresiwiidiiif ni ihe in|i to iIk |jri>pnitcil value uf l>, mid iii ibe rigliL^iaiKl Galunia nilfa ai dM 
canctfondiiig numlcr ii the Glib ttgaro of ibc leqtiintl naauol Dumber. 



Iwo brum miui lie plaeiil In ibe ri^il nf Ibo four Ggurea beli 

I irtbe hulex rurnHpamh to ■ fracihiu lem iIhm luiii.v, jtw 

thai nonriwr at ate ei|Dal id the iwtci uhinrlnd Ihin !l, Ibe 



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LOUARITIIMS. 



31 



9 ESAMFLE m. I 

Muhiply 35C by 0.0025. 

aSG Lob. OMSOU 

O.0023 Log. TJftffW 

Product, O.0O815 Log. 7 mUG 



EXAMPLE IV. 
Multiply 025 by OJX& 

03R Log. OJVmH 

0.003 Log. 7.47712 

Product, 0JX)075 Log. &87506 



In tlie last example, the sum or the two indices is 16; but nnee 10 was borrowud in 
ettcb niunber, we liave ueglecteil 10 in tlje sum ; and the remainder, C^ being lev tbon 
the other 10, is eviileully the iudex ol' the logantluii of a firactiou leas than uui^. 



DIVISION BY LOGARITHMS. 



EXAMPLE L 
Divide 875 by 2S. 
8?5 Log. 2M201 

25 Log. ismm 

Quotient, 35 Log. 1.54407 

EXAMPLE 11. 
Divide «).3a by 224. 

40.32 Log. 1.60553 

22.4 Log. 1.35025 

auotient, 1.8 Log. 0.35527 

In Enunple IIT. botii the divisor anil dividend are fractions less than unity, and th« 
divisor is the least ; coiiEequeiiily the quotient is greater thiw uiiity. In Exani[ile IV. 
both fractious are less tliaii unity ; anil, since tlie divisor is the greatest, its logarithm 'm 
greater than that of tlic dividenil ; for this reason it is necessatr to barrow 10 in the 
index before making the subtraction ; hence the quotient is kes thfln unity. 



EXAMPLE in. 
Divide OJWeiS by 0.0095; 

0.00615 Log. 7D1I10 

0.0025 Log. 73mH 

QuoiieDt,a30 Log. 0^1338 

EXAMPLE IV. 
Divide QX)0075 by a02S. 

0.00075 Log. 0L875O6 

a025 Log. BJOTOi 

auotient, 0.03 Log. a47713 



INVOLUTION BY LOGARITHMS. 

Rn.E. Multiply the losBiitbrn of the number given, 1^ the index ofdie power to 
which the quantiiy is to be raised ; the product will Iw the logarithm of tlie [mwer 
sought But iu ntisitig tlie powers of any decimal fraction, it must be oliserveil, tliat 
the first significant figure of tlic newer must l>e put as many daces below tlie jitace 
of iiiuts as the iudex of its logarithm wants of 10 multiplied by die index of the power. 



EXAMPLE I. 
Required the square of 18. 
18 Log. 155S7 



EXAMPLE 11. 
Required the cubn of 13. 
13 Log. LIlSfM 



EXAMPLE 111. 
Required the ar)uai« of 6A 

GA Log. O^OOIS 

3 

Annver, 4096 Log. imSX 

EXAjaPLE. IV. 
Required the cube of 0^35. 
035 Log. 0.39394 



Answer, 2107 Log. 3Mm Answer, OJUSGaS... Log; g8.1'J3B3 

In the last e:ram)>le, the index 28 niints 2 of 30 (the product of 10 liy the power 3) ; 
therefore tlie first significant figure of tlie answer, viz. 1, is placed two figttrw disttot 
fiom the place of units. 



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LOCARmiMS 



EVOLUTION BY LOGARITHMS. 

Rule. Divide the logtirilhm oftlie number lif the index of the power; the quotient 
will be the logtirithm ol' the root Nought. Jljt if the power wliose i-oot is to bo 
extiBcted jb a decimal fraction less than luiity, prefix to the index of its logaridim a 
figittM lew by one than (he index of ilie ]ii)wer,* mid divide tlio whole by the index of 
tlw power ; the quotient will be the logarlthin of the root sought 



EXAMPLE L 
What is the square root of 334 7 

324 Log. 3) 3J?1055 

Ansfver, 18 Log. lJi55ig 

EXAMPLE n. 
Bequired the cube root of 3197. 

2197 Log. 3) 334183 

Anawer, 13 Log. Ln394 



EXAMPLE nr. 

Required the square root of 40.96. 

4056 Log. 2 )1.61836 

Answer, 6.4 Log. 0.S0618 

3SXAMPLE IV. 
Required the cube root of 0.015625. 

0.015eJ5 Log. 8.19383 

Prefix 2 to the index 3 )28.10382 

Answer,ftS5 Log. 9.39794 



TO WORK THE RULE OF THREE BY LOGARITHMS. 

When three numbera aie given to find a fonnh proportional, in arithmetic, we moke 
a statement, and say, Aj the finit number is to the eccotiil, so 19 the third to the fourth ; 
and by tnulliplyiiig the second and tliiril together, and dividing tlie product by the 
first, we obtain tlie fourth number sought. To obtain die same result by logaritliras, 
we mu9t add the torarWant of the teamd and third numbtra together, and from Uit nan 
tubtradthelogaritAmof the fi-it number; the raaaitidcruiUl be the loganOirnqflhe tmight 
finirlh moidter. 

EXAMPLE L EXAMPLE 11. 

If 6 yards of cloth cost 5 dollsn^ what 
will 30 yards cost ? 

As 6 Log. .77815 

IsteS Log. 0.69897 

So is 30 Log. 130103 

Sum of 3d and 3d. 2.00000 

Subtract the first ft77815 

Tol6JJ7 Ixig. i.aai85 



The aniiwer, therefore, is IG dollan and 
^^ or 16 dollars and 67 cents. 



As? Log. 084510 

Is to 20 Log. 130103 

Soi821 Log. 133233 

Sum or2<l and 3d 2.02335 

Subtract tlie fina 0.84510 

To CO Log. "l.77ei5 

The answer is CO nulei. 



TO CALCULATE COMPOUND INTEREST BY LOGARITHMS. 



To 100 dollttiB add its interest for one year ; find the logarithm of this sum, and 
reject 2 in tlie index ; tlien multiply it lij' tfie niimlier of ^eara and |inrts of h year for 
wiiicli the uiterest is to be calculated ; to the jiroiliict add Ilie locaritliiii of the aiim 



ia luppoted ib*t 10 i> borrowed in Imdlug lbs iiidoi to Um decinaj accordiiig U 



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LOGARITHMS. 83 

EXAMPLE. 
Ite(|»ircil tlie omotint of llie principal onil interest of 355 dollan, let at per cent 
compound interact, for 7 years. 

Adding G to 100 gives lOG ; wlioBe lognritiitii, rejecting 

3 in the index, w 0XS531 

Huhiplied by 7 

Prmiiict 0.17717 

pj-iucijia], 3^ (loll^ Log. ^'I^_ 

Sum givea tJie logaritlwn of 533£3 Log. J-T^iO 

Thereforo the amount of iiriiici|ial otui interest is 533 doilara and S3 eeiM. 



fponding to e 



To find the logarithm of the sine, tangent, or secant, eorren) 
number of dtgreti and minutes, by Table XXVI. 

The i^ren ntimlwr of degrees miut be foiiD<l at the bottom of the page when 
between 45^ and 135°, otlier%vise at tlie top ; the minutes beiiig fniind in the column 
marked M, wliich stands on the side of the page on wliich the degrees are marked ; 

thuB, if the dtgreu are U»s than i!i, the mmjJet art to be /onnd in the U/l-ha7ul column, Si.c.i 
tout it mvsl be noted that if the degrees tm found at the top, the nonKsq/'hour, slue, cosine, 
tangent, fcc^ nM«( alio be found at the top; and if the dtgrutanfoimdal the boUom, lAe 
fuunu sine, coeine, kc^mutl aUobtfoimd at the bottom. Then o]>poeile to tlie number 
of the iiiiiiules will lio foimd the log. sine, log. secant, &c. iuihe columns marked ttne^ 
tecaitl, &G. respectively. 



EXAMPLE 1. 
Required the log. sine of 38° 37'. 
Find 28° at the top of the page, directly 
below whicti, in the left-hand column, 
find 37' ; against which, in the cohiuui 
merkecl fine, is 9JtJ8Va9, tiie log. guw of 
the given number of degrees; and in die 
same manner the tangents, &c. are found. 



EXAMPLE U. 

Required Uie log. secant of 126° 30. 

Find I2C° at tlie bottom of tlie page, 
directly alnve wjiich, In the lefl'liand 
cnlninn, lin<l 'iXf ; agamst wliich, ii '' ~ 
column marked wemi, '- '" ""^ 
quired. 



To find the logarithm of the sine, cosine, Sfe.for degrees, nunvtest and neondt, 
by TabU XXVII. 
Find the numbers corresponding to the even minutes next above oikI below the 
given degrees and minutes, and lake their difTerence, D; then say, As GO" is to dia 
number of seconds iu tlie proposed number, so is that difference, D, to a correction, d, 
to be applied to the numl>ercorres))onding to the least nuiiiberof degrees end minutes; 
oddhive if it is the least of the two numbers taken Irom the t^le, otherwise subtractive. 



EXAMPLE III. 
Required tlie log. sine of 34° 16 38". 

Biiieor24°lG' Log. 9.61382 

Siueof24 17 Log. !).til411 

Difference D=3 9 

Then, as CO" : 38" :: 39 : 18, which, 
being added to the number corresponding 
to 24° IG', gives ^M4SX>, the log. sine at 
34° Iff 38", 

If the given seconds be ^. ^, ^, -^i or{, or any otiier even parts of a minute, the 1ik« 
parts may be token of tlie difference of the logarithms, and added or subtracted aa 
above, ivLicIi may be frequently done by inspection. These proportional parts may 
also be found very nearly by means of the tiiree columns of differences for seconds, 
given, for the first time, iu (be ninth edition of this work. The first column of 
llflVrences, which is to be used with the two columns merited A, A, ii placed b«itwe«n 



EXAMPLE JV. 
Required tlie log. secant of 105° 30* 16". 

Secant of 10ff> 2^ Log. 10Ji7768 

Secant of 105''31 Log. 10.57738 

Difference ■D = 46 

Then, as 60" : 16" :: 4G : 12, which, 
beu)g Bubtractetl fVnm the numtiOT corre- 
spoudiug to iai° 20*, gives 10,57756, die 
log. secant of 105° Stf 16". 



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34 LOGARITHMS. 

theM cohimnB. The wcond column of diffiirencea, which ts to ha tued with dw 
nvo coluHiiiH B, B, is placed belween these two columns. la like mHoner, the third 
column of dillerences, between tiic coIuiuds C, C, is to be used with tlioin. 'I'ha 
correction of the tabular logHrithms in any of tlie columns A, B, C, for any iiumbcr 
ofBeconds,i3fDundby emedugthe teft'liaiid column of rhe table, nuv^ei' S' al the top, 
and findinstlic number of secooda; opposite to this, in the column of differences, wiit 
be found the con-es|>onding correction. Thus, in the table, page 215, which conttdni 
the log. einea, taue:entB, &c, fbr 30°, the corrections correspond inir to 35", are 9 for 
the columns A, A, 13 for the columns B, B, 3 for the columns C, C ; ao that, if it 
were required to find ttie sine, tangent, or secant of 30° 13' 35", we must add these 
correctiona req)ectively to the Duitibeta conreejMtnding to 30° 13' ; thus, 

Cok A. Cok B. Cni„ C. 

Loga.for30°13'....Sine 9.70159 Tangent.... 9.76493 Secant.... 10.06335 
Correcdona fbr 35" in 6' -|- 9 -f-I2 -\- 3 

Logg.for30°ia'a5".... ^JQl^ 9.76505 WM^ 

these correctiona being all added, because the logarithms increase in proceeding 
fivm 30° 13' to 30° 13'. Instead of taking out the logarithnn for 30° 13', and adding 
the correction lor 25", we may take out the logarithms for 30° 13^, and subtract the 
correction fbr 60" — 25", or 35", found in the inargui S' ; thus, 
Loga.f^30°13'.... Sine 9.70180 Tangent.... 9.76533 Secant.... 10.063U 
Cotr. for 35" in coL S', ? ,» .., , 

or25"incol.G' .... \ " " " " _Zl 

Loga.for30°ia'25".... 9.701b7 9.76505 1O.0C338 

The corrections are in this case subtrncted, because the logarithms decrease in 
proceeding backward 33" from 30° 13', to attain 30° 13' 35". The tangents and 
■ecants, in this example, are the same by both methods ; the sines differ by one unit, 
in the last decimal place, and this will frequently happen, becntiae the diflerence of 
the logarithms for 1', sometimes differ one or two units from the mean values which 
are uKd in the three columns of differences. The error arising from this cause is 
generally diminished by using the tmaliut angle * 8', when the seconds of tlie pro- 
posed angle are tmalUr than 30"; or the grtatul angle G', when the number of 
seconds are giraler than 30". Thus, ia the above example, where the angle 
S' = 30° iif, and the angle G' = 30° 13', it ia best lo use the angle S' when the given 
angle is less than 30° Iv 30", but the angle G' when it exceeds 30° 13' 30". Thus, 
ifitberequir«d tofind thewneof30*'ia'5l",itisbeBttoi[setheanoIeG'^30°]3', 
and find the correction by entering the margin marked S', with tlie difference 
60" — 111" =9", opposite to which, in the column of differences, is 3, to be subtracted 
from log. sine of sfr 13' = a7OI80, to get the log. slue of 30° 12' 51" = 9.70I77. To 
•are the trouble of sulttracting the seconds from 60'', wa niny use the right-hand 
margin, marked G', and tha correction may then be found by the following rules : — 

Rule 1. When the smaUetl angle S' is used, finif Oa ftamdt in the eofumn S', 
and take out the corre8|>ondlng correction, which is to be applied to the logarithm 
corresponding to S'; by adding, if the log. of G' be greater than the log. of S'l 
otherwise, by subtracting. 

Rdi.e 3. When the gnattr angle G' is used, ^nd the awonds in tht coiumit G', and 
take out the corresponding correction, wlilch la to be applied to the logarithm 
correspooding to G'; by adding, if the log. of S' be ^ater than the log. of G'; 
otherwise, by subtracting ; so iliat, in all cases, the required logarithm may fall be- 
tween the two logarithms corresponding to tbe angles S' and G'. 

The correctness of these rules will evidently oppcar by comparing them with the 
preceding examples ; and by the iuverse (irocess we may find the angle correspond- 
ing to a given logarithm, as in the next article. 

We have given at tlie bottom of tlie page, in this table, a small table for findintf 
the proportional parts for the odd seconils of time, corresponding to die column of 
Hours A. M. or P. M.; to facilitate tlie process of findjog the log. sine, cosine, &C., 
corresponding lo the nenrest second of time in the column of liours, or, on ibe con- 
trary, to find tlie nearest second of lime corresjionding to any given log. sine, cosine, 
&M. Thus, in the preceding examples, where the angle S' = 30° 12', and the 

• IT wo neglaet iho «Mnndj In my proponod a. 
denoted atiove by 8', and iJiii angle inrreasei' '— ' 
bill bMwMiS'aiHiG'-, S'twuiganu/Zcr, 
roqiiimd', ihaluunS'aiHl O'.aceeiitr-"'-- 
•■ IIm iuittoU uT lauilir and gnaUr. 



anile 0':s9BP 13'; the times corrMpondinc in the column of Hoiira P,18., are 
8'— 4» l^as-j G' = 4* 1" 44*; and il'we wish to find the ki^sine, cosioe, tc, 
correipondiiig to any iulermedinte time, os, for example, 4' 1" 39', vrhich differR ?i' 
from tne angfe S', we must find ihe tabular logarithm coiredponding to S', and ajiplv 
die correction for 3*, given hy the table at the bottom of the [wge, aa in the fbUowmg 
examples: — 

A. a c. 



Logs, for B' = 4»l- 3C 


Sine 9.7D159 


Tangent 9.76498 


Secant 1006335 


Correetimi for +3" 


+ 8 


+ 11 


+ 3 


Log».for i-l-'SD* 


Sine 9.70I6? 


Tangent g.765CM 


Secant ]a063»8 


Nearlj the sune reaulta 


are obtained by 


uaing the angle G', 


in the manner wa 








Lngiu for G' = 4» 1-44' 


Sine 9.70180 


Tangent B.765S3 


Secant 1006343 


Correction for — S* 


— 13 


-18 


— 5 


Loga-for 4''l-39' 


Sine 9.7D167 


T^gent a76504 


Secant 10.06337 



Theae correctiana mint be apgilied by addition or Mbtraction, according to tbe 
directkina gi\-en above, ao aa to tnake tbe required logarithm All between thoaa 
wliicli corTeB[Hiiid to llie times B' and G'. 

The inverse proceBS will pive the time corresponding to any logarithm. Thus, 
ir the log. line 9.701(i7 he pven, the difference Wween this and 9.70159, corre- 
apondiug to 8'=:4' 1° 96*, is 6; seeking thia in Ihe column A, in the second line of 
the table at the bottom of the page, it ia found to correapond to 3* ; adding thia to 
the time S' ^=4' 1" 36*. we get 4" 1> 39* for the required time. We may [Hveeed 
in the aame manner witli tlie logarithms in the columna B, C; uaing Ihe number* 
. correB{innding, marked B,C, reapecUvely, in the table at the Ixiiiom oftbe page. 
To find Iht dMgrea, mimttei, and seconds, eomsponding to any givtn h^aritkm 
sine, eoiine, Sre. by Tahk XXVIT. 

Find tlie two nearest numhete to tbe civen log. sine, coeine, &&, in the eohimn 
marited »me, eottne, &c., reejiectively, one beinc greater, and the other less, and take 
their difference, D ; take also the dit^rence, rf, Mtween the ziven logarithm and the 
iDgnrithmcorreBpondingCo the smallest number of degrees and minutea; thensny, Aa 
the first fuiind difference is to the second found difference, so is 60" to a number of 
seconds lo be annexed to ilie smatleat numlier of d^rees and minutea before found. 
The three columns of diflbrences may also be uaed, by an invatae operation to that 
which we have explained in the preceding article. 
EXAMPLE V. 

Find the degrees, minutes, and seconds [less than 90^1 corresponding to the log. 
sme 9.61400. 



D=iB d=l8 

Then say, As 29: 18:: 60": 38", nearly; which, annexed toiWlff, give iM" Iff 38", 
answering to log. sine 9J>]400. Subtracting 34° 1& 38" from 180^ there remain 
155° 43* W, the log. sine of which is also 9.61400 The quantilj; 38" may also ba 
found by inspection in the aide column S' of tbe page oppoaile d:=io, in the 
column of differences between the two columns. A, A. If we use the angle C, we 
shall have d' er^a) to II, the difference of the to^ithma 9.61411 and 9.61400, and 
the correal londing number of seconds in column G', Is37", maUng 24° 16* 37". 
To find the arithmetical coa^kmaU of any btgarithm. 
The arichmetlcal complement .of any logarithm is what it wants of lOXWOOO, and h 
used to avoiil stihtraction. For, when working any proportion liy logarithtns, vou 
may add the arithmeiical complement of the Ingorithm of the fitM term, instean of 
aulitracring the logsrilhrn itself, observing to neglect 10 in the index of the sum of the 
It^rillnns, The arithmetical complement of any logarithm is thna found :— Begin 
at the index, end torile deint tehal tadtjigurt ieimtiof9, except Ihe latt tirwfieant 
jSgwe, idadi lake from 10.> Thus, the ariilnnettcal complement of 9.63.595 ia 037405 ; 
tfaitofl.Bfi567 is 8.13433; and that of ]0..»3133 iB89.668CT, or'J.6fi8fi7. 

I of Ihe given lognriihin ii praxer ihui 10, u in lome of (he numbcn of Tibia 

' i sad when then on any ciphon lo tba riglil haad 

' V of eipben U tba i^ kind of iBa Mhar 



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