 | Elmer Adelbert Lyman, Edwin Charles Goddard - 1900 - 228 páginas
...= — cos B cos C + sin B sin C cos a, Similarly, cos B = — cos A cos C + sin A sin C cos b, and cos C = - cos A cos B + sin A sin B cos c. 97. In any spherical triangle to prove gHLJ:=gHLg=sm C. sin a sin b sin a c • . cos a — cos 6 cos... | |
 | Charles Hamilton Ashton, Walter Randall Marsh - 1900 - 184 páginas
...triangles, cos a' = cos V cos c' + sin b' sin c' cos A', cos 6' = cos c' cos a' + sin c' sin a' cos .B', cos c' = cos a' cos b' + sin a' sin b' cos C". But a' — TT — -4, J.' = 77- — a, etc. Substituting these values and noting that sin (TT — x)... | |
 | Hendrik Antoon Lorentz - 1900 - 516 páginas
...man cos A = — cos B cos C + sin B sin C cos al cos B— — cos C cos A + sin C sin A cos b \ (22) cos C = — cos A cos B + sin A sin B cos c . \ § 41. Aus den Formeln (20) ergeben sich unmittelbar die Werte der Winkel, wenn die der Seiten... | |
 | Robert Stawell Ball - 1900 - 584 páginas
...sin a sin b sin c ' 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. Thus the formulae of spherical trigonometry are generally applicable throughout the extent*. * I learned... | |
 | Josiah Willard Gibbs, Edwin Bidwell Wilson - 1901 - 470 páginas
...results and transposing, 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. The last two may be obtained by cyclic permutation of the letters or from the identities (BxC).(AxB)... | |
 | George Albert Wentworth - 1903 - 346 páginas
...C = sin c sin A. {cos a = cos b cos c + sin b sin c cos A. cos b = cos a cos c + sin a sin c cos B. cos c = cos a cos b + sin a sin b cos C. f cos A — — cos B cos C + sin B sin C cos a. 46. -I. cos B = — cos ^4 cos C + sin ^. sin C cos... | |
 | University of Sheffield - 1905 - 574 páginas
...Apply the method to prove the fundamental theorems of the theory of poles and polars 10. — Prove the formula cos c = cos a cos b + sin a sin b cos C The opposite sides of an equi-lateral spherical quadrilateral whose side is a are perpendicular to... | |
 | Preston Albert Lambert - 1905 - 120 páginas
...formulas, cos a = cos Ъ cos c -f sin b sin c cos A, (19) cos b = cos a cos c + sin a sin c cos B, cos c = cos a cos b + sin a sin b cos C, express relations between the six parts of a triedral angle. Hence if any three parts are given the... | |
 | Daniel Alexander Murray - 1906 - 466 páginas
...sin c cos A. (2) Similarly, or by taking the sides in turn, cos b = cos c cos a + sm c SMI a cos B, cos c = cos a cos b + sin a sin b cos C. In words : In a spherical triangle the cosine of any side is equal to the product of the cosines of... | |
 | Simon Newcomb - 1906 - 580 páginas
...included angle C. r• • sin c sin A = sin a sin C, sin c cos A = cos a sin b ~ sin a cos b cos C, -. cos c = cos a cos b + sin a sin b cos C. If we compute k and K from k sin K=s\na cos 0, kcosK=cosa, then sin c cos A = k sin (b - K), cos c... | |
| |
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. 
