 | Urbain J.-J Le Verrier - 1855 - 456 pages
...système suivant : -,'ma sin В = sin b sin A . sin a cos B = cos b sin с — sin b cos с cos A , cos a = cos b cos с -+- sin b sin с cos A , rjja déterminer a et В, connaissant ¿, С et A. Si l'on connaissait lî, h.jjgHt un système analogue... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...side of a triangle is expressed in terms of its opposite angle and the sides which contain it: thus, cos a = cos b cos с + sin b sin с cos A, which corresponds to Article (71) of the Plane Trigonometry: and these fundamental formulae should... | |
 | William Chauvenet - Trigonometry - 1856 - 272 pages
...or by PI. Trig. (64), — cos a = — cos b cos с — sin b sin с cos A and changing all the signs cos a = cos b cos с + sin b sin с cos A the same result that would have been found by applying (2) directly to ABC. GENERAL FORMULAE. 2d. In the triangle ABC,... | |
 | G. R. Smalley - Mathematics - 1862 - 190 pages
...opposite. a + b -\- с j A + B + C s = 2^ and S = - ^ E = A + B + C — 180 = spherical excess. 1. cos a = cos b cos с + sin b sin с cos A. 2. sin A : sin B ; sin C = sin a : sin b : sin c. 3. cot a sin b = cot .4 sin C + cos ¿ cos C. 4.... | |
 | Samuel H. Winter - 1864 - 348 pages
...the angles and sides of the primitive triangle. А + в + с>тг<Зтг. In any spherical triangle ; Cos a = cos b cos с + sin b sin с cos A. Sin A : sin в : sin с : : sin a : sin b : sin c. Cot a sin b = cot A sin с + cos b cos о ; cos... | |
 | Georg Christian Konrad Hunäus - Mathematical instruments - 1864 - 716 pages
...geringsten Einflufs auf die Bestimmung der Zeit hat. Differenziert man die erste Formel der Gleichungen [2] cos a - - cos b cos с -\- sin b sin с cos A nach den Regeln des DiftVrcnzürens der trigonometrischen Function« n, ш<1<к> man darin alle Gröl'sen... | |
 | Ole Jacob Broch - Elliptic functions - 1866 - 306 pages
...v, J »m (u± v). En effet on a dans la trigonométrie ephériqne les trois formules fondamentales: cos a = cos b . cos с — sin b . sin с . cos A, cos b = cos a . cos с — sin a . sin с .. cos B, cose — cosa . cosb — sina . sinb .cosC. En... | |
 | James Pryde - Navigation - 1867 - 506 pages
...solved by the formulas (13) Art. (328), but it is better to change that expression to a new form, thus, cos. a = cos. b cos. с + sin. b sin. с cos. A, add and subtract sin. b sin. с = cos. b cos. с + sin. b sin. с — sin. b sin. c (i — cos. A)... | |
 | Joseph Dienger - Trigonometry - 1867 - 392 pages
...smbsmc — smbsmc cos A — cosbcosc — sinbsinc, — cosa = — sinbsinc. cos A. — cosbcosc, dh cos a = cos b cos с + sin b sin с cos A. Diese Gleichung ist die Fundamentalgleichung, von der wir ausgehen werden. Es ist ganz selbstverständlich,... | |
 | Schools inquiry commission - Education - 1868 - 532 pages
...cos a sin i — cos A sin С = cos b cos С, «t par la considération du triangle supplémentaire, cos A = — cos B cos С + sin B sin С cos a. Formules relatives aux triangles rectangles. cos a = cos b cos с ; sin b = sin я sin В ; tang с... | |
| |
... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C. 
