Таблицы Бра́диса — математическое пособие, в котором собраны таблицы, необходимые для работы по курсу математики и для практических вычислений, не требующих большой точности. Автор — Владимир Модестович Брадис (1890—1975), советский математик и педагог, член-корреспондент АПН СССР (1955). Часть вычислений выполнили его ученики — студенты Тверского (Калининского) института народного образования. Точность таблиц — 4 знака после запятой (четырёхзначные).
Содержание
Таблица Брадиса для синусов и косинусов
sin | 0′ | 6′ | 12′ | 18′ | 24′ | 30′ | 36′ | 42′ | 48′ | 54′ | 60′ | cos | ± 1′ | ± 2′ | ± 3′ |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0,0000 | 90° | ||||||||||||||
0° | 0,0000 | 0017 | 0035 | 0052 | 007 | 0087 | 0105 | 0122 | 014 | 0157 | 0175 | 89° | 3 | 6 | 9 |
1° | 0175 | 0192 | 0209 | 0227 | 0244 | 0262 | 0279 | 0297 | 0314 | 0332 | 0349 | 88° | 3 | 6 | 9 |
2° | 0349 | 0366 | 0384 | 0401 | 0419 | 0436 | 0454 | 0471 | 0488 | 0506 | 0523 | 87° | 3 | 6 | 9 |
3° | 0523 | 0541 | 0558 | 0576 | 0593 | 061 | 0628 | 0645 | 0663 | 068 | 0698 | 86° | 3 | 6 | 9 |
4° | 0698 | 0715 | 0732 | 075 | 0767 | 0785 | 0802 | 0819 | 0837 | 0854 | 0872 | 85° | 3 | 6 | 9 |
5° | 0872 | 0889 | 0906 | 0924 | 0941 | 0958 | 0976 | 0993 | 1011 | 1028 | 1045 | 84° | 3 | 6 | 9 |
6° | 1045 | 1063 | 108 | 1097 | 1115 | 1132 | 1149 | 1167 | 1184 | 1201 | 1219 | 83° | 3 | 6 | 9 |
7° | 1219 | 1236 | 1253 | 1271 | 1288 | 1305 | 1323 | 134 | 1357 | 1374 | 1392 | 82° | 3 | 6 | 9 |
8° | 1392 | 1409 | 1426 | 1444 | 1461 | 1478 | 1495 | 1513 | 153 | 1547 | 1564 | 81° | 3 | 6 | 9 |
9° | 1564 | 1582 | 1599 | 1616 | 1633 | 165 | 1668 | 1685 | 1702 | 1719 | 1736 | 80° | 3 | 6 | 9 |
10° | 1736 | 1754 | 1771 | 1788 | 1805 | 1822 | 184 | 1857 | 1874 | 1891 | 1908 | 79° | 3 | 6 | 9 |
11° | 1908 | 1925 | 1942 | 1959 | 1977 | 1994 | 2011 | 2028 | 2045 | 2062 | 2079 | 78° | 3 | 6 | 9 |
12° | 2079 | 2096 | 2113 | 213 | 2147 | 2164 | 2181 | 2198 | 2215 | 2233 | 225 | 77° | 3 | 6 | 9 |
13° | 225 | 2267 | 2284 | 23 | 2317 | 2334 | 2351 | 2368 | 2385 | 2402 | 2419 | 76° | 3 | 6 | 8 |
14° | 2419 | 2436 | 2453 | 247 | 2487 | 2504 | 2521 | 2538 | 2554 | 2571 | 2588 | 75° | 3 | 6 | 8 |
15° | 2588 | 2605 | 2622 | 2639 | 2656 | 2672 | 2689 | 2706 | 2723 | 274 | 2756 | 74° | 3 | 6 | 8 |
16° | 2756 | 2773 | 279 | 2807 | 2823 | 284 | 2857 | 2874 | 289 | 2907 | 2924 | 73° | 3 | 6 | 8 |
17° | 2924 | 294 | 2957 | 2974 | 299 | 3007 | 3024 | 304 | 3057 | 3074 | 309 | 72° | 3 | 6 | 8 |
18° | 309 | 3107 | 3123 | 314 | 3156 | 3173 | 319 | 3206 | 3223 | 3239 | 3256 | 71° | 3 | 6 | 8 |
19° | 3256 | 3272 | 3289 | 3305 | 3322 | 3338 | 3355 | 3371 | 3387 | 3404 | 342 | 70° | 3 | 5 | 8 |
20° | 342 | 3437 | 3453 | 3469 | 3486 | 3502 | 3518 | 3535 | 3551 | 3567 | 3584 | 69° | 3 | 5 | 8 |
21° | 3584 | 36 | 3616 | 3633 | 3649 | 3665 | 3681 | 3697 | 3714 | 373 | 3746 | 68° | 3 | 5 | 8 |
22° | 3746 | 3762 | 3778 | 3795 | 3811 | 3827 | 3843 | 3859 | 3875 | 3891 | 3907 | 67° | 3 | 5 | 8 |
23° | 3907 | 3923 | 3939 | 3955 | 3971 | 3987 | 4003 | 4019 | 4035 | 4051 | 4067 | 66° | 3 | 5 | 8 |
24° | 4067 | 4083 | 4099 | 4115 | 4131 | 4147 | 4163 | 4179 | 4195 | 421 | 4226 | 65° | 3 | 5 | 8 |
25° | 4226 | 4242 | 4258 | 4274 | 4289 | 4305 | 4321 | 4337 | 4352 | 4368 | 4384 | 64° | 3 | 5 | 8 |
26° | 4384 | 4399 | 4415 | 4431 | 4446 | 4462 | 4478 | 4493 | 4509 | 4524 | 454 | 63° | 3 | 5 | 8 |
27° | 454 | 4555 | 4571 | 4586 | 4602 | 4617 | 4633 | 4648 | 4664 | 4679 | 4695 | 62° | 3 | 5 | 8 |
28° | 4695 | 471 | 4726 | 4741 | 4756 | 4772 | 4787 | 4802 | 4818 | 4833 | 4848 | 61° | 3 | 5 | 8 |
29° | 4848 | 4863 | 4879 | 4894 | 4909 | 4924 | 4939 | 4955 | 497 | 4985 | 5 | 60° | 3 | 5 | 8 |
30° | 5 | 5015 | 503 | 5045 | 506 | 5075 | 509 | 5105 | 512 | 5135 | 515 | 59° | 3 | 5 | 8 |
31° | 515 | 5165 | 518 | 5195 | 521 | 5225 | 524 | 5255 | 527 | 5284 | 5299 | 58° | 2 | 5 | 7 |
32° | 5299 | 5314 | 5329 | 5344 | 5358 | 5373 | 5388 | 5402 | 5417 | 5432 | 5446 | 57° | 2 | 5 | 7 |
33° | 5446 | 5461 | 5476 | 549 | 5505 | 5519 | 5534 | 5548 | 5563 | 5577 | 5592 | 56° | 2 | 5 | 7 |
34° | 5592 | 5606 | 5621 | 5635 | 565 | 5664 | 5678 | 5693 | 5707 | 5721 | 5736 | 55° | 2 | 5 | 7 |
35° | 5736 | 575 | 5764 | 5779 | 5793 | 5807 | 5821 | 5835 | 585 | 5864 | 5878 | 54° | 2 | 5 | 7 |
36° | 5878 | 5892 | 5906 | 592 | 5934 | 5948 | 5962 | 5976 | 599 | 6004 | 6018 | 53° | 2 | 5 | 7 |
37° | 6018 | 6032 | 6046 | 606 | 6074 | 6088 | 6101 | 6115 | 6129 | 6143 | 6157 | 52° | 2 | 5 | 7 |
38° | 6157 | 617 | 6184 | 6198 | 6211 | 6225 | 6239 | 6252 | 6266 | 628 | 6293 | 51° | 2 | 5 | 7 |
39° | 6293 | 6307 | 632 | 6334 | 6347 | 6361 | 6374 | 6388 | 6401 | 6414 | 6428 | 50° | 2 | 4 | 7 |
40° | 6428 | 6441 | 6455 | 6468 | 6481 | 6494 | 6508 | 6521 | 6534 | 6547 | 6561 | 49° | 2 | 4 | 7 |
41° | 6561 | 6574 | 6587 | 66 | 6613 | 6626 | 6639 | 6652 | 6665 | 6678 | 6691 | 48° | 2 | 4 | 7 |
42° | 6691 | 6704 | 6717 | 673 | 6743 | 6756 | 6769 | 6782 | 6794 | 6807 | 682 | 47° | 2 | 4 | 6 |
43° | 682 | 6833 | 6845 | 6858 | 6871 | 6884 | 6896 | 6909 | 6921 | 6934 | 6947 | 46° | 2 | 4 | 6 |
44° | 6947 | 6959 | 6972 | 6984 | 6997 | 7009 | 7022 | 7034 | 7046 | 7059 | 7071 | 45° | 2 | 4 | 6 |
45° | 7071 | 7083 | 7096 | 7108 | 712 | 7133 | 7145 | 7157 | 7169 | 7181 | 7193 | 44° | 2 | 4 | 6 |
46° | 7193 | 7206 | 7218 | 723 | 7242 | 7254 | 7266 | 7278 | 729 | 7302 | 7314 | 43° | 2 | 4 | 6 |
47° | 7314 | 7325 | 7337 | 7349 | 7361 | 7373 | 7385 | 7396 | 7408 | 742 | 7431 | 42° | 2 | 4 | 6 |
48° | 7431 | 7443 | 7455 | 7466 | 7478 | 749 | 7501 | 7513 | 7524 | 7536 | 7547 | 41° | 2 | 4 | 6 |
49° | 7547 | 7559 | 757 | 7581 | 7593 | 7604 | 7615 | 7627 | 7638 | 7649 | 766 | 40° | 2 | 4 | 6 |
50° | 766 | 7672 | 7683 | 7694 | 7705 | 7716 | 7727 | 7738 | 7749 | 776 | 7771 | 39° | 2 | 4 | 6 |
51° | 7771 | 7782 | 7793 | 7804 | 7815 | 7826 | 7837 | 7848 | 7859 | 7869 | 788 | 38° | 2 | 4 | 5 |
52° | 788 | 7891 | 7902 | 7912 | 7923 | 7934 | 7944 | 7955 | 7965 | 7976 | 7986 | 37° | 2 | 4 | 5 |
53° | 7986 | 7997 | 8007 | 8018 | 8028 | 8039 | 8049 | 8059 | 807 | 808 | 809 | 36° | 2 | 3 | 5 |
54° | 809 | 81 | 8111 | 8121 | 8131 | 8141 | 8151 | 8161 | 8171 | 8181 | 8192 | 35° | 2 | 3 | 5 |
55° | 8192 | 8202 | 8211 | 8221 | 8231 | 8241 | 8251 | 8261 | 8271 | 8281 | 829 | 34° | 2 | 3 | 5 |
56° | 829 | 83 | 831 | 832 | 8329 | 8339 | 8348 | 8358 | 8368 | 8377 | 8387 | 33° | 2 | 3 | 5 |
57° | 8387 | 8396 | 8406 | 8415 | 8425 | 8434 | 8443 | 8453 | 8462 | 8471 | 848 | 32° | 2 | 3 | 5 |
58° | 848 | 849 | 8499 | 8508 | 8517 | 8526 | 8536 | 8545 | 8554 | 8563 | 8572 | 31° | 2 | 3 | 5 |
59° | 8572 | 8581 | 859 | 8599 | 8607 | 8616 | 8625 | 8634 | 8643 | 8652 | 866 | 30° | 1 | 3 | 4 |
60° | 866 | 8669 | 8678 | 8686 | 8695 | 8704 | 8712 | 8721 | 8729 | 8738 | 8746 | 29° | 1 | 3 | 4 |
61° | 8746 | 8755 | 8763 | 8771 | 878 | 8788 | 8796 | 8805 | 8813 | 8821 | 8829 | 28° | 1 | 3 | 4 |
62° | 8829 | 8838 | 8846 | 8854 | 8862 | 887 | 8878 | 8886 | 8894 | 8902 | 891 | 27° | 1 | 3 | 4 |
63° | 891 | 8918 | 8926 | 8934 | 8942 | 8949 | 8957 | 8965 | 8973 | 898 | 8988 | 26° | 1 | 3 | 4 |
64° | 8988 | 8996 | 9003 | 9011 | 9018 | 9026 | 9033 | 9041 | 9048 | 9056 | 9063 | 25° | 1 | 3 | 4 |
65° | 9063 | 907 | 9078 | 9085 | 9092 | 91 | 9107 | 9114 | 9121 | 9128 | 9135 | 24° | 1 | 2 | 4 |
66° | 9135 | 9143 | 915 | 9157 | 9164 | 9171 | 9178 | 9184 | 9191 | 9198 | 9205 | 23° | 1 | 2 | 3 |
67° | 9205 | 9212 | 9219 | 9225 | 9232 | 9239 | 9245 | 9252 | 9259 | 9265 | 9272 | 22° | 1 | 2 | 3 |
68° | 9272 | 9278 | 9285 | 9291 | 9298 | 9304 | 9311 | 9317 | 9323 | 933 | 9336 | 21° | 1 | 2 | 3 |
69° | 9336 | 9342 | 9348 | 9354 | 9361 | 9367 | 9373 | 9379 | 9385 | 9391 | 9397 | 20° | 1 | 2 | 3 |
70° | 9397 | 9403 | 9409 | 9415 | 9421 | 9426 | 9432 | 9438 | 9444 | 9449 | 9455 | 19° | 1 | 2 | 3 |
71° | 9455 | 9461 | 9466 | 9472 | 9478 | 9483 | 9489 | 9494 | 95 | 9505 | 9511 | 18° | 1 | 2 | 3 |
72° | 9511 | 9516 | 9521 | 9527 | 9532 | 9537 | 9542 | 9548 | 9553 | 9558 | 9563 | 17° | 1 | 2 | 3 |
73° | 9563 | 9568 | 9573 | 9578 | 9583 | 9588 | 9593 | 9598 | 9603 | 9608 | 9613 | 16° | 1 | 2 | 2 |
74° | 9613 | 9617 | 9622 | 9627 | 9632 | 9636 | 9641 | 9646 | 965 | 9655 | 9659 | 15° | 1 | 2 | 2 |
75° | 9659 | 9664 | 9668 | 9673 | 9677 | 9681 | 9686 | 969 | 9694 | 9699 | 9703 | 14° | 1 | 1 | 2 |
76° | 9703 | 9707 | 9711 | 9715 | 972 | 9724 | 9728 | 9732 | 9736 | 974 | 9744 | 13° | 1 | 1 | 2 |
77° | 9744 | 9748 | 9751 | 9755 | 9759 | 9763 | 9767 | 977 | 9774 | 9778 | 9781 | 12° | 1 | 1 | 2 |
78° | 9781 | 9785 | 9789 | 9792 | 9796 | 9799 | 9803 | 9806 | 981 | 9813 | 9816 | 11° | 1 | 1 | 2 |
79° | 9816 | 982 | 9823 | 9826 | 9829 | 9833 | 9836 | 9839 | 9842 | 9845 | 9848 | 10° | 1 | 1 | 2 |
80° | 9848 | 9851 | 9854 | 9857 | 986 | 9863 | 9866 | 9869 | 9871 | 9874 | 9877 | 9° | 0 | 1 | 1 |
81° | 9877 | 988 | 9882 | 9885 | 9888 | 989 | 9893 | 9895 | 9898 | 99 | 9903 | 8° | 0 | 1 | 1 |
82° | 9903 | 9905 | 9907 | 991 | 9912 | 9914 | 9917 | 9919 | 9921 | 9923 | 9925 | 7° | 0 | 1 | 1 |
83° | 9925 | 9928 | 993 | 9932 | 9934 | 9936 | 9938 | 994 | 9942 | 9943 | 9945 | 6° | 0 | 1 | 1 |
84° | 9945 | 9947 | 9949 | 9951 | 9952 | 9954 | 9956 | 9957 | 9959 | 996 | 9962 | 5° | 0 | 1 | 1 |
85° | 9962 | 9963 | 9965 | 9966 | 9968 | 9969 | 9971 | 9972 | 9973 | 9974 | 9976 | 4° | 0 | 0 | 1 |
86° | 9976 | 9977 | 9978 | 9979 | 998 | 9981 | 9982 | 9983 | 9984 | 9985 | 9986 | 3° | 0 | 0 | 0 |
87° | 9986 | 9987 | 9988 | 9989 | 999 | 999 | 9991 | 9992 | 9993 | 9993 | 9994 | 2° | 0 | 0 | 0 |
88° | 9994 | 9995 | 9995 | 9996 | 9996 | 9997 | 9997 | 9997 | 9998 | 9998 | 9998 | 1° | 0 | 0 | 0 |
89° | 9998 | 9999 | 9999 | 9999 | 9999 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0° | 0 | 0 | 0 |
90° | 0,0000 |
Таблица Брадиса для тангенсов tg и котангенсов ctg
tg | 0′ | 6′ | 12′ | 18′ | 24′ | 30′ | 36′ | 42′ | 48′ | 54′ | 60′ | ctg | ± 1′ | ± 2′ | ± 3′ |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0,0000 | 90° | ||||||||||||||
0° | 0 | 0017 | 0035 | 0052 | 007 | 0087 | 0105 | 0122 | 014 | 0157 | 0175 | 89° | 3 | 6 | 9 |
1° | 0175 | 0192 | 0209 | 0227 | 0244 | 0262 | 0279 | 0297 | 0314 | 0332 | 0349 | 88° | 3 | 6 | 9 |
2° | 0349 | 0367 | 0384 | 0402 | 0419 | 0437 | 0454 | 0472 | 0489 | 0507 | 0524 | 87° | 3 | 6 | 9 |
3° | 0524 | 0542 | 0559 | 0577 | 0594 | 0612 | 0629 | 0647 | 0664 | 0682 | 0699 | 86° | 3 | 6 | 9 |
4° | 0699 | 0717 | 0734 | 0752 | 0769 | 0787 | 0805 | 0822 | 084 | 0857 | 0875 | 85° | 3 | 6 | 9 |
5° | 0875 | 0892 | 091 | 0928 | 0945 | 0963 | 0981 | 0998 | 1016 | 1033 | 1051 | 84° | 3 | 6 | 9 |
6° | 1051 | 1069 | 1086 | 1104 | 1122 | 1139 | 1157 | 1175 | 1192 | 121 | 1228 | 83° | 3 | 6 | 9 |
7° | 1228 | 1246 | 1263 | 1281 | 1299 | 1317 | 1334 | 1352 | 137 | 1388 | 1405 | 82° | 3 | 6 | 9 |
8° | 1405 | 1423 | 1441 | 1459 | 1477 | 1495 | 1512 | 153 | 1548 | 1566 | 1584 | 81° | 3 | 6 | 9 |
9° | 1584 | 1602 | 162 | 1638 | 1655 | 1673 | 1691 | 1709 | 1727 | 1745 | 1763 | 80° | 3 | 6 | 9 |
10° | 1763 | 1781 | 1799 | 1817 | 1835 | 1853 | 1871 | 189 | 1908 | 1926 | 1944 | 79° | 3 | 6 | 9 |
11° | 1944 | 1962 | 198 | 1998 | 2016 | 2035 | 2053 | 2071 | 2089 | 2107 | 2126 | 78° | 3 | 6 | 9 |
12° | 2126 | 2144 | 2162 | 218 | 2199 | 2217 | 2235 | 2254 | 2272 | 229 | 2309 | 77° | 3 | 6 | 9 |
13° | 2309 | 2327 | 2345 | 2364 | 2382 | 2401 | 2419 | 2438 | 2456 | 2475 | 2493 | 76° | 3 | 6 | 9 |
14° | 2493 | 2512 | 253 | 2549 | 2568 | 2586 | 2605 | 2623 | 2642 | 2661 | 2679 | 75° | 3 | 6 | 9 |
15° | 2679 | 2698 | 2717 | 2736 | 2754 | 2773 | 2792 | 2811 | 283 | 2849 | 2867 | 74° | 3 | 6 | 9 |
16° | 2867 | 2886 | 2905 | 2924 | 2943 | 2962 | 2981 | 3 | 3019 | 3038 | 3057 | 73° | 3 | 6 | 9 |
17° | 3057 | 3076 | 3096 | 3115 | 3134 | 3153 | 3172 | 3191 | 3211 | 323 | 3249 | 72° | 3 | 6 | 10 |
18° | 3249 | 3269 | 3288 | 3307 | 3327 | 3346 | 3365 | 3385 | 3404 | 3424 | 3443 | 71° | 3 | 6 | 10 |
19° | 3443 | 3463 | 3482 | 3502 | 3522 | 3541 | 3561 | 3581 | 36 | 362 | 364 | 70° | 3 | 7 | 10 |
20° | 364 | 3659 | 3679 | 3699 | 3719 | 3739 | 3759 | 3779 | 3799 | 3819 | 3839 | 69° | 3 | 7 | 10 |
21° | 3839 | 3859 | 3879 | 3899 | 3919 | 3939 | 3959 | 3979 | 4 | 402 | 404 | 68° | 3 | 7 | 10 |
22° | 404 | 4061 | 4081 | 4101 | 4122 | 4142 | 4163 | 4183 | 4204 | 4224 | 4245 | 67° | 3 | 7 | 10 |
23° | 4245 | 4265 | 4286 | 4307 | 4327 | 4348 | 4369 | 439 | 4411 | 4431 | 4452 | 66° | 3 | 7 | 10 |
24° | 4452 | 4473 | 4494 | 4515 | 4536 | 4557 | 4578 | 4599 | 4621 | 4642 | 4663 | 65° | 4 | 7 | 11 |
25° | 4663 | 4684 | 4706 | 4727 | 4748 | 477 | 4791 | 4813 | 4834 | 4856 | 4877 | 64° | 4 | 7 | 11 |
26° | 4877 | 4899 | 4921 | 4942 | 4964 | 4986 | 5008 | 5029 | 5051 | 5073 | 5095 | 63° | 4 | 7 | 11 |
27° | 5095 | 5117 | 5139 | 5161 | 5184 | 5206 | 5228 | 525 | 5272 | 5295 | 5317 | 62° | 4 | 7 | 11 |
28° | 5317 | 534 | 5362 | 5384 | 5407 | 543 | 5452 | 5475 | 5498 | 552 | 5543 | 61° | 4 | 8 | 11 |
29° | 5543 | 5566 | 5589 | 5612 | 5635 | 5658 | 5681 | 5704 | 5727 | 575 | 5774 | 60° | 4 | 8 | 12 |
30° | 5774 | 5797 | 582 | 5844 | 5867 | 589 | 5914 | 5938 | 5961 | 5985 | 6009 | 59° | 4 | 8 | 12 |
31° | 6009 | 6032 | 6056 | 608 | 6104 | 6128 | 6152 | 6176 | 62 | 6224 | 6249 | 58° | 4 | 8 | 12 |
32° | 6249 | 6273 | 6297 | 6322 | 6346 | 6371 | 6395 | 642 | 6445 | 6469 | 6494 | 57° | 4 | 8 | 12 |
33° | 6494 | 6519 | 6544 | 6569 | 6594 | 6619 | 6644 | 6669 | 6694 | 672 | 6745 | 56° | 4 | 8 | 13 |
34° | 6745 | 6771 | 6796 | 6822 | 6847 | 6873 | 6899 | 6924 | 695 | 6976 | 7002 | 55° | 4 | 9 | 13 |
35° | 7002 | 7028 | 7054 | 708 | 7107 | 7133 | 7159 | 7186 | 7212 | 7239 | 7265 | 54° | 4 | 9 | 13 |
36° | 7265 | 7292 | 7319 | 7346 | 7373 | 74 | 7427 | 7454 | 7481 | 7508 | 7536 | 53° | 5 | 9 | 14 |
37° | 7536 | 7563 | 759 | 7618 | 7646 | 7673 | 7701 | 7729 | 7757 | 7785 | 7813 | 52° | 5 | 9 | 14 |
38° | 7813 | 7841 | 7869 | 7898 | 7926 | 7954 | 7983 | 8012 | 804 | 8069 | 8098 | 51° | 5 | 9 | 14 |
39° | 8098 | 8127 | 8156 | 8185 | 8214 | 8243 | 8273 | 8302 | 8332 | 8361 | 8391 | 50° | 5 | 10 | 15 |
40° | 8391 | 8421 | 8451 | 8481 | 8511 | 8541 | 8571 | 8601 | 8632 | 8662 | 8693 | 49° | 5 | 10 | 15 |
41° | 8693 | 8724 | 8754 | 8785 | 8816 | 8847 | 8878 | 891 | 8941 | 8972 | 9004 | 48° | 5 | 10 | 16 |
42° | 9004 | 9036 | 9067 | 9099 | 9131 | 9163 | 9195 | 9228 | 926 | 9293 | 9325 | 47° | 6 | 11 | 16 |
43° | 9325 | 9358 | 9391 | 9424 | 9457 | 949 | 9523 | 9556 | 959 | 9623 | 9657 | 46° | 6 | 11 | 17 |
44° | 9657 | 9691 | 9725 | 9759 | 9793 | 9827 | 9861 | 9896 | 993 | 9965 | 1.0 | 45° | 6 | 11 | 17 |
45° | 1.0 | 1.0035 | 1.007 | 1.0105 | 1.0141 | 1.0176 | 1.0212 | 1.0247 | 1.0283 | 1.0319 | 1.0355 | 44° | 6 | 12 | 18 |
46° | 1.0355 | 1.0392 | 1.0428 | 1.0464 | 1.0501 | 1.0538 | 1.0575 | 1.0612 | 1.0649 | 1.0686 | 1.0724 | 43° | 6 | 12 | 18 |
47° | 1.0724 | 1.0761 | 1.0799 | 1.0837 | 1.0875 | 1.0913 | 1.0951 | 1.099 | 1.1028 | 1.1067 | 1.1106 | 42° | 6 | 13 | 19 |
48° | 1.1106 | 1.1145 | 1.1184 | 1.1224 | 1.1263 | 1.1303 | 1.1343 | 1.1383 | 1.1423 | 1.1463 | 1.1504 | 41° | 7 | 13 | 20 |
49° | 1.1504 | 1.1544 | 1.1585 | 1.1626 | 1.1667 | 1.1708 | 1.175 | 1.1792 | 1.1833 | 1.1875 | 1.1918 | 40° | 7 | 14 | 21 |
50° | 1.1918 | 1.196 | 1.2002 | 1.2045 | 1.2088 | 1.2131 | 1.2174 | 1.2218 | 1.2261 | 1.2305 | 1.2349 | 39° | 7 | 14 | 22 |
51° | 1.2349 | 1.2393 | 1.2437 | 1.2482 | 1.2527 | 1.2572 | 1.2617 | 1.2662 | 1.2708 | 1.2753 | 1.2799 | 38° | 8 | 15 | 23 |
52° | 1.2799 | 1.2846 | 1.2892 | 1.2938 | 1.2985 | 1.3032 | 1.3079 | 1.3127 | 1.3175 | 1.3222 | 1.327 | 37° | 8 | 16 | 24 |
53° | 1.327 | 1.3319 | 1.3367 | 1.3416 | 1.3465 | 1.3514 | 1.3564 | 1.3613 | 1.3663 | 1.3713 | 1.3764 | 36° | 8 | 16 | 25 |
54° | 1.3764 | 1.3814 | 1.3865 | 1.3916 | 1.3968 | 1.4019 | 1.4071 | 1.4124 | 1.4176 | 1.4229 | 1.4281 | 35° | 9 | 17 | 26 |
55° | 1.4281 | 1.4335 | 1.4388 | 1.4442 | 1.4496 | 1.455 | 1.4605 | 1.4659 | 1.4715 | 1.477 | 1.4826 | 34° | 9 | 18 | 27 |
56° | 1.4826 | 1.4882 | 1.4938 | 1.4994 | 1.5051 | 1.5108 | 1.5166 | 1.5224 | 1.5282 | 1.534 | 1.5399 | 33° | 10 | 19 | 29 |
57° | 1.5399 | 1.5458 | 1.5517 | 1.5577 | 1.5637 | 1.5697 | 1.5757 | 1.5818 | 1.588 | 1.5941 | 1.6003 | 32° | 10 | 20 | 30 |
58° | 1.6003 | 1.6066 | 1.6128 | 1.6191 | 1.6255 | 1.6319 | 1.6383 | 1.6447 | 1.6512 | 1.6577 | 1.6643 | 31° | 11 | 21 | 32 |
59° | 1.6643 | 1.6709 | 1.6775 | 1.6842 | 1.6909 | 1.6977 | 1.7045 | 1.7113 | 1.7182 | 1.7251 | 1.7321 | 30° | 11 | 23 | 34 |
60° | 1.7321 | 1.7391 | 1.7461 | 1.7532 | 1.7603 | 1.7675 | 1.7747 | 1.782 | 1.7893 | 1.7966 | 1.804 | 29° | 1 | 2 | 4 |
61° | 1.804 | 1.8115 | 1.819 | 1.8265 | 1.8341 | 1.8418 | 1.8495 | 1.8572 | 1.865 | 1.8728 | 1.8807 | 28° | 1 | 3 | 4 |
62° | 1.8807 | 1.8887 | 1.8967 | 1.9047 | 1.9128 | 1.921 | 1.9292 | 1.9375 | 1.9458 | 1.9542 | 1.9626 | 27° | 1 | 3 | 4 |
63° | 1.9626 | 1.9711 | 1.9797 | 1.9883 | 1.997 | 2.0057 | 2.0145 | 2.0233 | 2.0323 | 2.0413 | 2.0503 | 26° | 1 | 3 | 4 |
64° | 2.0503 | 2.0594 | 2.0686 | 2.0778 | 2.0872 | 2.0965 | 2.106 | 2.1155 | 2.1251 | 2.1348 | 2.1445 | 25° | 2 | 3 | 5 |
65° | 2.1445 | 2.1543 | 2.1642 | 2.1742 | 2.1842 | 2.1943 | 2.2045 | 2.2148 | 2.2251 | 2.2355 | 2.246 | 24° | 2 | 3 | 5 |
66° | 2.246 | 2.2566 | 2.2673 | 2.2781 | 2.2889 | 2.2998 | 2.3109 | 2.322 | 2.3332 | 2.3445 | 2.3559 | 23° | 2 | 4 | 5 |
67° | 2.3559 | 2.3673 | 2.3789 | 2.3906 | 2.4023 | 2.4142 | 2.4262 | 2.4383 | 2.4504 | 2.4627 | 2.4751 | 22° | 2 | 4 | 6 |
68° | 2.4751 | 2.4876 | 2.5002 | 2.5129 | 2.5257 | 2.5386 | 2.5517 | 2.5649 | 2.5782 | 2.5916 | 2.6051 | 21° | 2 | 4 | 6 |
69° | 2.6051 | 2.6187 | 2.6325 | 2.6464 | 2.6605 | 2.6746 | 2.6889 | 2.7034 | 2.7179 | 2.7326 | 2.7475 | 20° | 2 | 5 | 7 |
70° | 2.7475 | 2.7625 | 2.7776 | 2.7929 | 2.8083 | 2.8239 | 2.8397 | 2.8556 | 2.8716 | 2.8878 | 2.9042 | 19° | 3 | 5 | 8 |
71° | 2.9042 | 2.9208 | 2.9375 | 2.9544 | 2.9714 | 2.9887 | 3.0061 | 3.0237 | 3.0415 | 3.0595 | 3.0777 | 18° | 3 | 6 | 9 |
72° | 3.0777 | 3.0961 | 3.1146 | 3.1334 | 3.1524 | 3.1716 | 3.191 | 3.2106 | 3.2305 | 3.2506 | 3.2709 | 17° | 3 | 6 | 10 |
73° | 3.2709 | 3.2914 | 3.3122 | 3.3332 | 3.3544 | 3.3759 | 3.3977 | 3.4197 | 3.442 | 3.4646 | 3.4874 | 16° | 3 | 7 | 10 |
74° | 3.4874 | 3.5105 | 3.5339 | 3.5576 | 3.5816 | 3.6059 | 3.6305 | 3.6554 | 3.6806 | 3.7062 | 3.7321 | 15° | 4 | 8 | 13 |
75° | 3.7321 | 3.7583 | 3.7848 | 3.8118 | 3.8391 | 3.8667 | 3.8947 | 3.9232 | 3.952 | 3.9812 | 4.0108 | 14° | 4 | 10 | 14 |
76° | 4.0108 | 4.0408 | 4.0713 | 4.1022 | 4.1335 | 4.1653 | 4.1976 | 4.2303 | 4.2635 | 4.2972 | 4.3315 | 13° | |||
77° | 4.3315 | 4.3662 | 4.4015 | 4.4373 | 4.4737 | 4.5107 | 4.5483 | 4.5864 | 4.6252 | 4.6646 | 4.7046 | 12° | |||
78° | 4.7046 | 4.7453 | 4.7867 | 4.8288 | 4.8716 | 4.9152 | 4.9594 | 5.0045 | 5.0504 | 5.097 | 5.1446 | 11° | |||
79° | 5.1446 | 5.1929 | 5.2422 | 5.2924 | 5.3435 | 5.3955 | 5.4486 | 5.5026 | 5.5578 | 5.614 | 5.6713 | 10° | |||
80° | 5.6713 | 5.7297 | 5.7894 | 5.8502 | 5.9124 | 5.9758 | 6.0405 | 6.1066 | 6.1742 | 6.2432 | 6.3138 | 9° | |||
81° | 6.3138 | 6.3859 | 6.4596 | 6.535 | 6.6122 | 6.6912 | 6.772 | 6.8548 | 6.9395 | 7.0264 | 7.1154 | 8° | |||
82° | 7.1154 | 7.2066 | 7.3002 | 7.3962 | 7.4947 | 7.5958 | 7.6996 | 7.8062 | 7.9158 | 8.0285 | 8.1443 | 7° | |||
83° | 8.1443 | 8.2636 | 8.3863 | 8.5126 | 8.6427 | 8.7769 | 8.9152 | 9.0579 | 9.2052 | 9.3572 | 9.5144 | 6° | |||
84° | 9.5144 | 9.6768 | 9.8448 | 10187 | 11988 | 13854 | 15789 | 17797 | 19882 | 11.2048 | 11.4301 | 5° | |||
85° | 11.4301 | 11.6645 | 11.9087 | 12.1632 | 12.4288 | 12.7062 | 12.9962 | 13.2996 | 13.6174 | 13.9507 | 14.3007 | 4° | |||
86° | 14.3007 | 14.6685 | 15.0557 | 15.4638 | 15.8945 | 16.3499 | 16.8319 | 17.3432 | 17.8863 | 18.4645 | 19.0811 | 3° | |||
87° | 19.0811 | 19.7403 | 24465 | 21.2049 | 22.0217 | 22.9038 | 23.8593 | 24.8978 | 26.0307 | 27.2715 | 28.6363 | 2° | |||
88° | 28.6363 | 31446 | 31.8205 | 33.6935 | 35.8006 | 38.1885 | 49174 | 44.0661 | 47.7395 | 52.0807 | 57.29 | 1° | |||
89° | 57.29 | 63.6567 | 71.6151 | 81.847 | 95.4895 | 114.5887 | 143.2371 | 199842 | 286.4777 | 572.9572 | 0° |