TABLE II. 
TABLE OF 
NATURAL SINES, TANGENTS AND SECANTS, 
Advancing by 10 min. 
FROM 
CARNEGIE，S POCKET COMPANION. 
I)e g. 
Min. 
Sine. 
Tangent. 
Secant. 
Deg. 
Min 
Sine. 
Tangent. 
Secaut. 
Deg. 
Min. 
Sine. 
Tauge 11t. 
Secant. 
J)eg. 
ilhu 
Sine. 
Tau geilt. 
Secant. 
Deg. 
Min. 
Siue. 
Tangent. 
Secant. 
Deg. 
Min. 
Sine. 
Tangent. 
Secant. 
Deg. 
Min. 
Sine. 
Tangent. 
Secant. 
Deg. 
Min. 
Sine. 
Tangent. 
Secant. 
Dug. 
Min. 
Siue. 
Taugent. 
Secant. 
0 
OC 
.0000 
.0000 
1 .COCO 
10 
OO 
• 1756 
.1763 
1.0154 
30 
OO 
• 5420 
•3640 
(.0642 
30 
OO 
•50CO 
•5774 
J.I 547 
40 
OO 
.6428 
•8391 
1.3054 
50 
OO 
.7660 
r.1918 
1-5557 
GO 
00 
.8660 
1.7321 
2 . 00 CO 
70 
OO 
•9397 
2.7475 
•2.9238 
80 
00 
.9848 
5.6713 
5 . 75 % 
IO 
.0029 
•0029 
1 . 00 CO 
IO 
“765 
•1793 
1.0160 
IO 
• 3448 
.5673 
1 • つ 653 
IO 
.5025 
.5812 
1.1566 
IO 
.6450 
.8441 
i ぺ 086 
lo 
.7679 
1.1988 
1.561 1 
10 
.8675 
»*7437 
- 2 . 0 I 0 I 
IO 
•9407 
2.7725 
2.9474 
IO 
.9853 
5.7694 
5.8554 
20 
.0058 
.0058 
1.0000 
20 
•1794 
.1823 
1.0165 
*20 
•3475 
.3706 
1.0665 
20 
. 5 。 5 。 
•5851 
1.1586 
20 
.6472 
.8491 
1.3118 
20 
.7698 
1.2059 
1.5666 
20 
.8689 
1.7556 
a. 0204 
20 
• 94*7 
2.7980 
2.9713 
20 
.9858 
5.8708 
5.9554 
3 〇 
.0087 
.0087 
1 .0000 
50 
.1822 
• 185; 
1.0170 
30 
•3502 
• 37 仂 
1.0676 
30 
•5075 
*589 。 
1.1606 
SO 
如 94 
.8541 
MI 5 1 
SO 
.7716 
1.2151 
t. 57 n 
BO 
.8704 
1.7675 
2.0308 
SO 
.9426 
2.8239 
2.9957 
SO 
.9863 
5.9758 
6.0589 
40 
•0116 
.01 16 
I.OCOI 
40 
.1851 
AÜSi 
1.0176 
4 。 
• 3772 
1.0688 
40 
.5 roo 
.5950 
1.1626 
40 
.6517 
.8591 
1.5184 
40 
. 77^5 
1.2203 
1.5777 
40 
.87 J?) 
1.7796 
2.041 5 
40 
.9436 
■2.8502 
3.0206 
40 
.9868 
6.0844 
6.1661 
5 〇 
•0145 
.0145 
1.0001 
50 
,1880 
.1914 
1.0x81 
So 
•3557 
• 38。5 
1.0700 
SO 
•5125 
•5969 
1.1646 
SO 
•6539 
.8642 
1.3217 
SO 
•7753 
1.2276 
1.5833 
SO 
メ 732 
1.79 け 
2.0519 
SO 
•9446 
2.8770 
3.0458 
SO 
.9872 
6.1970 
6.2772 
1 
oo 
•0175 
.0175 
1.0002 
11 
00 
.1908 
.1944 
1.0187 
41 
CO 
•3584 
•} 8$9 
1.0711 
31 
OO 
.5150 
.6009 
1.1666 
41 
OO 
.6561 
別 93 
1.3250 
51 
OO 
■7771 
叫 49 
1.5890 
01 
OO 
.8746 
1.8040 
2.06*27 
71 
OO 
•9455 
2 . 904 2 
3.0716 
81 
OO 
■9877 
6.3138 
6.3925 
10 
.0204 
.0204 
1.0002 
【0 
パ 957 
»1974 
1,0193 
IO 
.3611 
.5872 
1 . 072 ^ 
JO 
• 5 リ 5 
.6048 
1.1687 
IO 
.6585 
•8744 
1.3284 
IO 
•7790 
1.2423 
1.5948 
IO 
.8760 
1.8165 
2.0736 
IO 
•9465 
2.9519 
3.0977 
IO 
.9881 
6.4348 
6.51-21 
20 
.0253 
• 叫 3 
1.0003 
20 
• 1965 
.2004 
1.0199 
20 
•3638 
.3906 
1.0736 
•20 
•5200 
.6088 
1.1707 
20 
.6604 
•8796 
1.3318 
*20 
.7808 
1.2497 
1.6005 
20 
•8774 
1.8291 
2.0846 
ao 
•9474 
2.9600 
3.1244 
20 
.9886 
6.5606 
6.6363 
3 〇 
•0262 
.0262 
1,0003 
30 
• 】994 
• 州 5 
1.0*205 
SO 
• 3665 
•5939 
1.0748 
30 
• 5 叫 
.6ia8 
1.1728 
30 
.6626 
別 47 
1 - 335 ^ 
30 
.7826 
1.2577 
1.6064 
50 
.8788 
1.8418 
2.0957 
30 
•9483 
2.9887 
3.1515 
SO 
.9890 
6.6912 
6.7655 
40 
•0291 
.029! 
1.0004 
40 
.2022 
•2065 
1.021 I 
40 
•3692 
♦3973 
1.0760 
40 
•5250 
.6168 
J.I 749 
40 
.6648 
.8899 
1.3386 
4 。 
.7844 
1.264 / 
1.6123 
40 
.88oa 
1.8546 
-2.1070 
40 
•9492 
3.0178 
3 . * 79 ^ 
40 
. 邙 94 
6.8269 
6.8998 
5 〇 
•0520 
.0320 
1.0005 
SO 
.2051 
•ao% 
1.0217 
SO 
.3719 
.4006 
1.0773 
SO 
.5275 
.6208 
1.1770 
50 
.6670 
.8952 
1.3421 
50 
.7862 
1.-2723 
1.6183 
SO 
.8816 
1.8676 
2.1185 
50 
.9502 
3.0475 
3.2074 
SO 
•9899 
6.9682 
7.0396 
3 
00 
.0349 
•0349 
1.0006 
ia 
OO 
.ao 79 
,2126 
1.0223 
OO 
,3746 
.4040 
1.0785 
33 
OO 
•5299 
.6249 
1.1792 
4 « 
OO 
.6691 
• 9 〇〇 4 
1.5456 
sa 
00 
.7880 
1.^799 
1.6-243 
62 
00 
.88-29 
1.8807 
2.1 301 
72 
00 
•9511 
3.0777 
3.2561 
83 
OO 
.9905 
7.1154 
7.1853 
10 
•OJ78 
•0378 
1.0007 
IO 
.2108 
• 2156 
1.02 50 
IO 
• 3773 
.4074 
1.0798 
IO 
•5524 
.6289 
1.1813 
IO 
.6713 
• 9 〇 57 
1.5492 
10 
.7898 
1.2876 
1.6503 
IO 
.8843 
1.8940 
■2.1418 
IO 
.9520 
3.1084 
$•2655 
IO 
.9907 
7.2687 
7 - 537 ^ 
20 
.0407 
.0407 
1.0008 
ao 
•2136 
.2186 
1.0236 
20 
•3800 
.4108 
1.0811 
IQ 
•5348 
•6330 
1.1835 
20 
•6734 
.9110 
1.3527 
20 
•7916 
J .2954 
1.6365 
20 
•8857 
1.9074 
^•1537 
20 
•9528 
3]$97 
3.2951 
20 
.9911 
7.4287 
7.4957 
3 〇 
.0436 
• 〇 4 37 
1.0010 
30 
•2164 
.2217 
1.0-243 
30 
•3827 
•4142 
r.0824 
BO 
•5373 
•6371 
1.1857 
JO 
•6756 
.916; 
1 . 3563 丨 
50 
.7934 
1 . 3 〇 32 
1.6427 
SO 
•8870 
1.9210 
2.1657 
30 
• 95 そ 7 
3.1716 
3.3255 
30 
• 99『4 
7 . 595 只 
7.6613 
40 
.0465 
.0466 
1.0011 
40 
•2193 
.2247 
1.0-249 
40 
• 3854 
•4176 
1.0837 
40 
•5 398 
.6412 
1.1879 
40 
.6777 
.9217 
1.5600 
40 
•7951 
1 . 31 " 
1.6489 
40 
.8884 
1.9347 
2.1786 
40 
.9546 
3.204» 
5.3565 
40 
•9918 
7.7704 
7.8544 
5 〇 
•0494 
•0495 
1.001 a 
50 
.mi 
.2278 
1.0-256 
SO 
.3881 
.4210 
r.0850 
SO 
• 54:2 
■6455 
1 _ 1 90 1 
SO 
.6799 
• 9 ”i 
1.3636 
50 
.7969 
1.J190 
1.6553 
SO 
.8897 
1.9436 
2.1902 
50 
•9555 
3.2371 
3.3881 
SO 
.992-2 
7.9530 
8.C156 
3 
oo 
•0523 
•0524 
1.0014 
13 
00 
•2250 
•” 〇 9 
1.0263 
23 
00 
• 3907 
•4245 
r, 0864 
33 
OO 
•5446 
.6494 
1.19-24 
43 
OO 
.6820 
• 93^5 
T.3675 
53 
OO 
•7986 
1.3770 
».6616 
03 
OO 
.8910 
1.96-26 
12027 
73 
00 
•9563 
3.1709 
3 . 4 叫 
83 
OO 
•99*25 
8.1445 
8.2055 
IO 
•0552 
.0555 
1.0015 
10 
.•2278 
•2339 
1.0270 
IO 
•3954 
.4279 
1.0877 
IO 
•5471 
•65 36 
1.1946 
JO 
.6841 
.9380 
i.$7H 
IO 
.8004 
1.3351 
1.6681 
IO 
• 89^3 
1.9768 
2.2153 
IO 
•9572 
3 * 305*2 
5.450 
IO 
. 99^9 
8 . 545 。 
84047 
20 
.0581 
.0582 
1.0017 
20 
.2206 
.2370 
1.0277 
20 
•3961 
•4314 
1.0891 
70 
•5495 
.6577 
1.1969 
20 
.6862 
•9455 
13748 
ao 
.8021 
1.6746 
20 
.89^6 
I. 99 12 
2.22S2 
•20 
•9580 
3.3402 
34867 
20 
•9932 
»•5555 
8.6138 
3 〇 
.0610 
.0012 
r.coi9 
50 
•W 54 
.2401 
1.0284 
SO 
• 59 ” 
•45 4 8 
1.0904 
30 
•5519 
.6619 
1.1992 
50 
.6884 
• 949 〇 
1.3786 
50 
•8059 
1.5514 
1.6812 
30 
.8949 
2.0057 
2.2412 
30 
.9588 
?-3759 
5.5209 
SO 
•9936 
8.7769 
0537 
40 
.0640 
•0641 
i .0021 
40 
.2452 
1.02 Ql 
40 
•4014 
.4583 
1.0918 
40 
•5544 
.6661 
1.2015 
40 
.6905 
•9545 
M824 
40 
•8056 
1.3597 
1.6878 
40 
.8962 
2.0204 
2.2545 
40 
•9596 
?- 4^4 
3-5559 
40 
.9959 
9.0098 
9.0652 
50 
.0669 
•0670 
1.0022 
50 
.2391 
•2462 
1.0299 
50 
•4041 
•4417 
1.0932 
50 
.5568 
.6703 
1.2039 
50 
.6926 
.9601 
1.3863 
50 
•8073 
1.3680 
1.6945 
SO 
• 8 975 
2.0353 
2.2677 
50 
.9605 
3-4495 
3.5915 
SO 
•9942 
9'^553 
90092 
4 ： 
00 
.0698 
.0699 
1.0024 
14 
00 
•MI 9 
•2493 
1.0306 
24 ： 
OO 
.4067 
•4452 
1.0946 
34 
OO 
• 55 W 
•6745 
1.2062 
44 
OO 
.6947 
.9657 
1.3902 
54 ： 
00 
.8090 
r.3764 
1 . 7 〇了 3 
64 
OO 
.8988 
^. 〇 5 〇 5 
2.2812 
74 . 
00 
• 96 t 3 
34874 
3.6280 
84 
OO 
•9945 
9.5144 
9.5668 
10 
.0727 
.0729 
1.00-27 
10 
•2447 
•25 M 
1.0314 
10 
.409 斗 
4487 
1.0961 
IO 
.5616 
■6787 
1.7086 
IO 
.6967 
•97 ^ 
1.3941 
10 
.8107 
1.3848 
1.7081 
10 
.9001 
2.065 $ 
2.2949 
IO 
.96-21 
3.526 i 
^.66^2 
IO 
.9948 
9.788-2 
9.8391 
ao 
•0756 
•0758 
1.0029 
ao 
.2476 
•2555 
1.0321 
20 
•4120 
• 45 % 
i -°975 
20 
•5640 
.6830 
1.2110 
ao 
.6988 
• 977 〇 
1.3980 
20 
.8124 
1-3934 
1 . 715 ^ 
20 
.90 リ 
• 2 .o 8 c 9 
2.3088 
20 
.9628 
5,5656 
3.7032 
20 
•9951 
10.0780 
10.1275 
•0785 
•0787 
1.0031 
30 
• 25 。 斗 
1.0329 
30 
•4147 
•4557 
1.0989 
30 
•5664 
•6875 
1.2154 
30 
.7009 
•9827 
1 .4020 
SO 
■8141 
1.4019 
1.7221 
30 
.9026 
2.0965 
2.3228 
SO 
•9636 
多 .605 9 
30 
•9954 
10.3854 
I 0 . 4 B 4 
40 
•0814 
.0816 
1.0053 
40 
♦ 253*2 
•2617 
1.0337 
40 
•4173 
•4592 
1.1004 
40 
.5688 
.6916 
1.2158 
40 
■ 7 〇 3 〇 
•9884 
i .406 1 
40 
.8158 
1.4106 
1.7291 
40 
.9038 
•2.1 123 
2.3371 
40 
•9644 
3.6470 
3.7817 
40 
•0957 
10.7119 
10.7585 
50 
.0843 
•0846 
1.0036 
50 
.2560 
.2648 
1.0345 
50 
.4200 
.4628 
1.1019 
SO 
•5712 
•6959 
1.2133 
50 
•7050 
• 994 2 
1.4101 
SO 
.8175 
1.4193 
1.7362 
50 
•9051 
2.1283 
2 . 35 ” 
SO 
.9652 
3.6891 
3.8222 
50 
,9959 
ii.c 594 
1 1.1045 
5 
00 
.0872 
.0875 
1.0058 
15 
00 
,2^SS 
.2679 
1.035 3 
25 
00 
•4226 
•4663 
1.1034 
35 
00 
• 57$6 
.7002 
1,-2208 
45 
00 
.7071 
1.0000 
1.4T42 
55 
00 
.8192 
1.4-281 
1-7454 
65 
CO 
•9063 
2.1445 
2.3662 
75 
OO 
.9659 
3 . 7 川 
3.8637 
85 
00 
.9962 
11.450 
11.474 
10 
.0901 
.0904 
1.0041 
10 
.2616 
•2711 
1.0361 
ro 
•4699 
1.1049 
10 
•5760 
.7046 
I • 叫； 
TO 
.7092 
1.0058 
1.4183 
IO 
.8208 
1.4370 
1.7507 
10 
• 9 〇 75 
2.1609 
2.381 1 
IO 
•9667 
3.7760 
5.9061 
IO 
•9964 
11.826 
11.86« 
20 
.0929 
•0934 
1.0043 
ao 
•2644 
•2742 
1.0369 
20 
•4279 
•4754 
1.1064 
20 
• 57 ” 
.7089 
1.2258 
20 
.7112 
1.0117 
1.4225 
20 
.8225 
1 .4460 
1.7581 
20 
.9088 
2.1775 
2.3961 
ao 
•9674 
3.8208 
3.9495 
•20 
•9967 
12.251 
12.291 
jo 
•0958 
.0963 
1.0046 
3 C 
.2672 
.2773 
1.0377 
30 
.4305 
4770 
1.1079 
30 
•5807 
Jin 
1.2283 
SO 
1.0176 
1.4-267 
JO 
.8241 
1.4550 
1.7655 
30 
•9100 
2.1945 
■2.41 14 
30 
.9681 
3.8667 
5.9939 
SO 
.9969 
12.706 
12.745 
40 
•0987 
.0^92 
1.0049 
40 
.2700 
.2805 
1.0386 
40 
•43 51 
.4806 
1.1095 
40 
•5831 
.7177 
1.2 309 
40 
• 7*53 
1 • 叫 5 
1.4310 
40 
•8258 
2.4641 
1.7730 
40 
• 9112 
2.211? 
2.4269 
40 
.9689 
3.9136 
4.0394 
40 
.9971 
リ .197 
13.255 
50 
.1016 
.1022 
1.005 a 
50 
.-2728 
.2836 
1.0394 
50 
•4358 
.4841 
1.1110 
SO 
•5854 
.7221 
1.2335 
50 
•7173 
1.0295 
1.4352 
SO 
細 4 
M 733 
1.7806 
SO 
.9124 
2.2286 
a.4426 
50 
.9696 
3.9617 
4.0859 
SO 
•9974 
13.727 
15.763 
0 
00 
•1045 
• IO5I 
1.0055 
16 
00 
.”56 
.1867 
1.0403 
26 
00 
•4384 
•4877 
1.1 126 
36 
OO 
.5878 
•7265 
1.2361 
46 
OO 
• 7*95 
1.0355 
1.4596 
56 
00 
.8290 
i .4826 
1.7883 
66 
OO 
•9135 
2.2460 
2.4586 
76 
00 
.9705 
4.0108 
4.1336 
86 
OO 
•9976 
14.301 
14.356 
10 
• 1074 
.!08o 
1.0058 
10 
•2784 
.2899 
1.0412 
10 
• 441 。 
•4913 
1.114-2 
10 
•5901 
.7310 
1.2387 
IO 
.7214 
1.0416 
M 459 
IO 
.8307 
1.4919 
1.7960 
IO 
•9 »47 
2.2657 
2.4748 
10 
.9710 
4. 〇 6 1 1 
4.1824 
IO 
•9978 
14.924 
14.958 
20 
.1103 
• 1110 
1.0061 
ao 
.•2812 
. 巧 ” 
1 .04-21 
•20 
.4456 
•4950 
1.1158 
20 
•5925 
.7355 
1.2415 
20 
• 7^34 
1.0477 
T.4483 
•20 
.8 ⑴ 
1.5013 
1.8039 
20 
• 9】59 
•2.2817 
*2.4912 
20 
•9717 
4.1126 
4.2324 
ao 
.9980 
15.605 
15.637 
30 
.1132 
.1139 
1.0065 
30 
.1840 
•2962 
1.0429 
SO 
.4462 
•4986 
1.1174 
SO 
.5948 
.7400 
い 44 。 
SO 
•7254 
1.05 3 8 
1.4527 
3 D 
.8539 
1.5 108 
t,8i 18 
30 
• 9 ! 7 】 
2.199^ 
2.5078 
SO 
•9724 
4.165; 
4.2857 
30 
•9981 
16.35 。 
16.580 
40 
.ri6i 
.II69 
i .0068 
40 
.2868 
• な 994 
1.0459 
40 
.4488 
.50-27 
1.1190 
40 
•5972 
♦7445 
1.2467 
40 
.7275 
1.0599 
1.4572 
40 
々 55 
1.5204 
1.8198 
40 
.9182 
2.3183 
2.5247 
40 
.9730 
4.2195 
4 -^ 6 ?. 
40 
•998; 
17.169 
17.1# 
50 
.1190 
• II98 
1.0072 
50 
.*2896 
.3026 
1.0448 
SO 
.4514 
•5059 
1.1207 
SO 
•5995 
•7490 
1.2494 
50 
.7294 
1.0661 
1.4617 
50 
.8371 
1.5301 
1.8279 
50 
•9194 
2.3369 
2.S419 
SO 
•9737 
4*2747 
4.3901 
50 
•9985 
18.075 
18.103 
7 
00 
•1219 
.122^ 
1.0075 
IT 
00 
•2924 
• 3 〇 57 
1.0457 
27 
OO 
•4540 
•5095 
1.1-2 2^ 
37 
OO 
.6c J 8 
•7536 
1.25*21 
4 T 
OO 
• 75 M 
1.0724 
r.4663 
57 
OO 
•8387 
1.5399 
1.8361 
or 
OO 
• 9^05 
2.3559 
2.5593 
77 
OO 
•9744 
4*5 315 
4.4454 
8T 
00 
.9986 
19.081 
19.107 
IO 
.1248 
. 1^57 
1.0079 
10 
•2952 
.3089 
1.0466 
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