| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...(307) is applied to the polar triangle of the preceding section, it becomes by PI. Trig. §61, — cos. A = cos. B cos. C — sin. B sin. C cos. a, or cos. A = — cos. B cos. C-\- sin. Bsin. C cos. a. (317) 57. Corollary. In the same way (308) becomes... | |
| Science - 1885 - 1372 pages
...connaît deux côtés «t l'angle compris. Pour trouver ce troisième côté, j'ai utilisé la formule cos a = cos b cos c -}- sin b sin c cos A, on trouve alors pour le côté a 106° 54'. Donc, le soleil était 16°54' au-dessous de l'horizon,... | |
| 1847 - 364 pages
...c cos A = cos (b + c) -\- sin b sin c ( 1 + cos A) ^ = cos (b + c) +2 sin 6 sin c cos2 —^- ; (2) cos a = cos b cos c + sin b sin c cos A = cos b cos c -\- sin b sin c — sin b sin c -f- sin b sin c cos A = cos (b — c) — sin b sin c ( I — cos... | |
| Anthony Dumond Stanley - Geometry - 1848 - 134 pages
...included angle. There are three equations answering to this theorem, for every triangle : thus, (1) cos a = cos b cos c + sin b sin c cos A (2) cos b = cos a cos c + sin a sin c cos B (8) cos c = cos a cos b + sin a sin b cos C. and as the... | |
| Franz Brünnow - Spherical astronomy - 1851 - 636 pages
...eine für logarithmische Rechnung bequeme Form erhalten. Sind z. B. die drei Formeln zu berechnen: cos a = cos b cos c + sin b sin c cos A sin n sin B = sin b sin A sin a cos B = cos b sin c — sin b cos c cos A so setze man: sin b cos A... | |
| Delisle - 1851 - 226 pages
...on aura, en désignant B'C par я' : я'= i8ou — a, c'= i8o°— с, В' AC =i8o" — A; doue — cos a = — cos b cos c. — sin b sin c cos A , ou ( i ) cos я = cos 6 cos с -Ь sin ¿i sin с ros A . Si les coles ¿, c, soul lous deux plus... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...into the cosine of their included side, minus the product of the cosines of those angles. 7. The first and second of equations (1) give, after transposing the terms, cos a — cos 5 cos c = sin 5 sin c cos A, cos 6 —'cos a cos c = sin a sin c cos B•, by adding, we have, and... | |
| William Chauvenet - 1852 - 268 pages
...120° 30' 30", c = 70° 20' 20", A = 50° 10' 10" ; find a. (Same as Ex. 1. p. 182). The formula is cos a = cos b cos c + sin b sin c cos A which will be thus computed : log cos b — 9.70557 log cos c + 9.52693 log q •— 9.23250 log sin... | |
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