 | Benjamin Greenleaf - 1863 - 504 páginas
...angle, plus the cosine of the second side into the cosine of the included angle. By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b -\- sin a sin b cos 17; and by means of (147), sin C sin c = s1n a sin A' / />\... | |
 | Benjamin Greenleaf - 1863 - 502 páginas
...angle, plus the cosine of the second side into the cosine of the included angle. By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b -|- sin a sin b cos (7; and by means of (147), sin c sm a sin C sin A* , . ^ 7... | |
 | Académie royale des sciences, des lettres et des beaux-arts de Belgique - 1863 - 702 páginas
...on représente par A, B, C les angles et par «, 6, B c les côtés opposés, la formule générale cos A = — cos B cos C + sin B . sin C . cos a , où l'on doit poser C = 90°, donne cos A = sin B . cos «. On a, d'ailleurs, r cos a — — > sin... | |
 | Isaac Todhunter - 1863 - 182 páginas
...base and A the opposite angle of one triangle, arid a and A' similar quantities for the other. Then cos a = cos b cos c + sin b sin c cos A, cos a' = cos b cos c + sin b sin c cos A'; therefore cos a - cos a' = sin b sin c (cos A — cos A')... | |
 | Jean-Baptiste-Charles-Joseph Bélanger - 1864 - 348 páginas
...trois angles plans a, b, e d'un angle dièdre et de l'angle dièdre A opposé à la face a, . savoir : cos a = cos b cos c + sin b sin c cos A en faisant « = T, 6 = « et c = j3+-, ce qui donne 0 = —cos y. sin j3 -f- sin a. cos j3 cos A, d'où... | |
 | Franz Brünnow - 1865 - 584 páginas
...we have found in No. 2, we get the following formulae, which are true for every spherical triangle : cos a = cos b cos c -+- sin b sin c cos A sin a sin 5 = sin b sin, A sin a cos B = cos b sin c — sin b cos c cos A. These are the three principal... | |
 | Saturnino Montojo - 1865 - 302 páginas
...Q,6a= 90°. De esta fórmula («) podremos ya deducir por la permutacion indicada (39) las siguientes cos a = cos b cos c + sin b sin c cos A \ cos b = cos c cos a + sin c sin a cos B > («, „) cos c = cos a cos b + sin a sin b cos C ,•... | |
 | Franz Brünnow - 1865 - 592 páginas
...we have found in No. 2, we get the following formulae, which are true for every spherical triangle : cos a = cos b cos c + sin b sin c cos A gin a sin B = sin .•'• sin I sin o cos-B= cosi sin r. — sin i cos c cos A. These are the three... | |
 | James Robert Christie - 1866 - 428 páginas
...adjacent parts. (2) Sine of middle part = product of cosines of opposite parts. In any spherical triangle, cos a= cos b, cos c — sin. b, sin c. cos A ; . . sin(*-6)sin(se) , sins, sin (*-a) Sin * A = - -. - ; - : - I COS * A = - T - . — : - : am b... | |
 | Benjamin Greenleaf - 1867 - 188 páginas
...angle, plus the jcosine of the second side into the cosine of the included angle. By (150) and (152) we have cos a = cos b cos c -{- sin b sin c cos A, cos c = cos a cos b -)- sin a sin b cos (7; and by means of (147), sin c sin C sin a -. — j. sin... | |
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A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B... 
