 | Naturforschende Gesellschaft in Zürich - Science - 1877 - 922 pages
...Proportion l Sin vers C Sin a . Sin b Sin vers c — Sin vers (a—b) eben, die eine Umgestaltung von Cos c = Cos a Cos b + Sin a Sin b Cos C ist So wurde 1587 I 29, 4y2h Abends im westlichen -Wimuthe 47° 0' die Holte der Venus 30° 46' erhalten,... | |
 | Isaac Todhunter - Spherical trigonometry - 1879 - 176 pages
...free from ambiguity. Or we may determine C without previously determining a and Ъ from the formula cos C = — cos A cos B + sin A sin B cos c. This formula may be adapted to logarithms, thus : cos C = cos B (— cos A + sin A tan B cos c) ; assume... | |
 | Edward Olney - Geometry - 1879 - 502 pages
...— cos B cos c + sin B sin c cos« ; J (2) cos B = — cos A cos C + sin A sin C cos b ; >- B. (3) cos c = — cos A cos B + sin A sin B cos c. ) DEM.— Letting a', b', J, A', B', and C' represent the parts of the polar triangle, we have a =... | |
 | James Edward Oliver - Trigonometry - 1881 - 120 pages
...spherical triangle ABC : 157] cosa = cos& cos c + sin& sine COSA, cos b = cos c cos a + sin c sin a cos в, cos c = cos a cos b + sin a sin b cos c. [The figure shows four oblique spherical triangles : ABC, a, b and c all < 90° ; AB'C, a' and c' >... | |
 | Briot (M., Charles), Jean-Claude Bouquet - Trigonometry - 1881 - 264 pages
...Co Sm -- 135. — Remarques. — Si l'on ne demandait que l'angle C, on l'obtiendrait par la formule cos C =— cos A cos B + sin A sin B cos c, ou cos C = cos B ( — cos A + sin A tang B cos c). Si l'on pose cot f = tang B cos c, cette formule... | |
 | A. Boset - Geometry, Analytic - 1881 - 730 pages
...cos A = — cos Bcos C -4- sin B sin C cos a, cas B = — cos A cos C -t- sin A sin C cos b , . . (4) cos C = — cos A cos B •+• sin A sin B cos c. On peut trouver immédiatement ces formules au moyen des triangles polaires en parlant de cos a = cos... | |
 | London univ, exam. papers, John Edward A. Steggall - Mathematics - 1882 - 264 pages
...formula •we deduce [see Todhunter's Spherical Trigonometry, § 132] the theorem Prom the formula cos C = — cos A cos B + sin A sin B cos c •we find, on making the radius of the sphere infinite, •while the sides of the triangle remain... | |
 | William John M'Clelland - 1885 - 182 pages
...ic = cos I (a + 4) sin 5 (7 ; or, as will be hereafter shown, it may be determined from the formula cos c = cos a cos b + sin a sin b cos C, without having previously determined .1 or B. Examples. (1). Given a = 43° 18', b = 19° 24', C'=... | |
 | August Ferdinand Möbius - Mathematics - 1886 - 717 pages
...(I), .. (IV) statt a i , b^, c t die Winkel A, B, C einführt, (I) sin b sin C = sin c sin B , (II) cos c — cos a cos b = sin a sin b cos C , (III) sin a cotg b = sin C cotg B + cos a cos C , (IV) cos C + cos A cos B = sin A sin B cos c .... | |
 | August Ferdinand Möbius - Mathematics - 1886 - 722 pages
...Gleichungen (I), .. (IV) statt at, i, , c, die Winkel A, B, C einführt , (I) sin b sin C = sin c sin B , (u) cos c — cos a cos b — sin a sin b cos C , (III) sin a cotg b — sin C cotg B + cos a cos C , (IV) cos C + cos A cos B = sin A sin B cos c... | |
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B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G. 
