 | George William Jones - Trigonometry - 1896 - 216 pages
...upon these laws. THE LAW OF COSINES. THEOR. 5. In a triedral angle : (a) The cosine of a face angle is equal to the product of the cosines of the other two face angles less the product of their sines by the cosine of the opposite diedral: ie cos a = cos b... | |
 | English language - 1897 - 726 pages
...proportional to the sines of the opposite angles. That is, sin a : sin 5= sin A : sin B The cosine of any side equal to the product of the cosines of the other two sides plus the product of their sines and the cosine of the included angle. That is, cos a=cos b cos c+sin... | |
 | Education - 1900 - 804 pages
...proportional to the sines of the opposite angles. That is, sin a: sin b = sin A : sin B The cosine of any side equal to the product of the cosines of the other two sides plus the product of their sines and the cosine of the included angle. That is, cos a = cos I cos e+sin... | |
 | Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...three ratios proj FE/FE, FE/FD, FD/OD, which can be interpreted. (b) The cosine of a diedral tingle is equal to the product of the cosines of the other two diedrals less the product of their sines by the cosine of the opposite face angle : ie co ft a = cos... | |
 | James Morford Taylor - Trigonometry - 1905 - 256 pages
...cos a + sin с sin a cos B, cos e = cos a cos b + sin a sin b cos C. That is, the cosine of any side of a spherical triangle is equal to the product of the cosines of the other two sides plus the product of the sines of these two sides and the cosine of their included angle. Ex. 2. Compare... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...GENERAL FORMULAS 1078. Formula containing the three sides and an angle. Theorem. The cosine of any side a is equal to the product of the cosines of the other two sides, increased by the product of the sines of these two sides multiplied by the cosine of their included angle. Thus, cos a = cos b... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...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 the other two sides plus the product of the sines of these two sides and the cosine of their included angle. (Compare Plane... | |
 | Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...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 the other two sides plus the product of the sines of these two sides and the cosine of their included angle. (Compare Plane... | |
 | Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...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 the other two sides plus the product of the sines of these two sides and the cosine of their included angle. (Compare Plane... | |
 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...= cos a cos b + sin a sin b cos C. These formulas embody the Law of Cosines: The cosine of any side of a spherical triangle is equal to the product of the cosines of the other two sides plus the continued product of the sines of these two sides and the cosine of the included angle. Fig.... | |
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Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides... 
