 | Gustav Holzmüller - Measurement - 1900 - 504 pages
...cos 61 + cos c cos a + sin a tan •& = -. — 5 : . sin o sin c Setzt man hier nach dem Cosinussatze cos a — cos b cos c cos a = sin b sin c «nd (nach Formel 9 in Nr. 276) o _ oo sin a = -. — - — : — Vsin s sin (s — a) sin (s — 6)sin... | |
 | Surveying - 1902 - 366 pages
...COS B = ; ; . . . (II) s1n c s1n a (iii.) Given the three angles, to find the values of the sides — cos A + cos B cos C cos a = sin B sin C (III) (iv.) Given two sides and the included angle, or two angles and the included side, to find the... | |
 | Johann Eugen Mayer - 1901 - 488 pages
...übrigen Stücke des Dreiecks sollen berechnet werden. Auflösung. Aus dem Cosinusseitensatz folgt: cos a — cos b cos c cos a = sin b . sin c Diese Formel könnte uns also a gewinnen lassen, doch ist sie, wie wir bereits erwähnt, zu logarithmischer... | |
 | Charles Lee Crandall - Geodesy - 1906 - 380 pages
...1], . ., ., , „ ., 4&2c2-(&2 + c2-a2)2 jn 2'=-2' = - - >-.-., or Spherical triangle. By form. 27], cos a — cos b cos c cos A = • sin b sin c By forms. 13] and 14], omitting terms of higher power than the fourth, cos A = • By form. 32], bc... | |
 | American Association for the Advancement of Science - Science - 1892 - 604 pages
...60 Sin CA - c0 Sin AB. Let a = aaA, b = &,3B, C = CYC. the above expressions become cos abo = abc f cos A cos B cos C — cos A sin B sin C cos ,3y — cosBsin CsinAcosya — eosCttnAsin Ccosafi + sin A sin B sin Csiii a,3 cos and Sin abc... | |
 | Leonard Magruder Passano - Trigonometry - 1918 - 198 pages
...= 79° 27'. 83. Delambre's Analogies or Gauss's Equations. Using the law of cosines we may write . cos a — cos b cos c cOS A = : : sin b sin c Whence 1 co3 A - 2 sin' IA - (c°8 6 cos c + sin fi sin c)~ cos g sin 6 sin c or, 2 . tA_cos(b —... | |
 | James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...Given a = 40°05'26", A=29°42'34", c=26°21'18"; find C. 117. The Half-Angle Formulae.— By (48) , cos a — cos b cos c cos A = ; ; ; sin b • sin c subtracting both sides from 1, sin 6 • sin cf cos 6 • cos c— cos a 1— cos Л sin b • sin... | |
 | Physics - 1837 - 1182 pages
...shall arrive at other results which do not seem to have been hitherto observed. Thus, from the formula cos A + cos B cos C cos a = sin B sin C and the corresponding ones for cos b and cos c, we see that when the three angles are given, each of... | |
 | Charles S. Peirce - Literary Criticism - 1982 - 720 pages
...any persons are among those persons. Suppose, then, we take the formula of spherical trigonometry, cos a = cos b cos c + cos A sin b sin c. In quaternion form, this is, (165.) S(pq) = (Sp)(Sq) + S((Vp)(Vq)). Let p be "lover," and q be "benefactor."... | |
 | Earl F. Burkholder - Technology & Engineering - 2008 - 392 pages
...Spherical Triangle sin A sin B sin C sm a sinb sine (3.12) cos a - cos b cos c cos A = sin b sin c cos A + cos B cos C cos a = sin B sin C (3.13) and (3.14) Note that equations 3.13 and 3.14 are cyclic in that the symbols for the vertices... | |
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A, 4 cos 6 = cos c cos a + sin c sin a cos B, > (1) . , "cos c = cos a cos b + sin a sin b cos C. J Whence . cos a — cos b... 
