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 those sides into the cosine of their included angle ; that is, (1) cos a = cos b... Academic Trigonometry: Plane and Spherical - Page 25by Thomas Marcus Blakslee - 1888 - 35 pagesFull view - About this book
| Edward Olney - Geometry - 1872 - 562 pages
...thought sufficient for the general student] 143. Prop. — 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 those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos c... | |
| Edward Olney - Trigonometry - 1872 - 216 pages
...sufficient for the general student.] 143. Prop. — In a Svherical 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 those sides into the cosine of their included angle; that is, (1) cos a — cos b cos... | |
| Edward Olney - Geometry - 1872 - 472 pages
...sufficient for the general student.] 143. Prop. — 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 those sides into the cosine of their included angle ; that is, (1) cos a = cos b cos с... | |
| Aaron Schuyler - Measurement - 1873 - 508 pages
...C. (3) sin b : sin c : : sin B : sin C. 136. Proposition II. The co-sine of any side of a spherical **triangle is equal to the product of the co-sines of the other** sides, plus the product of their sines into the co-sine of their included angle. Let ABC be a spherical... | |
| Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...still equal to the sine of G. 7» TRIGONOMETRY. 149. In any 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 those two sides into the cosine of their included angle. Let A В C be any spherical triangle,... | |
| Horatio Nelson Robinson - Navigation - 1878 - 564 pages
...cot.BC Or, cot.J.tf : cot.BC = cos.ACD : cos.BCD. PROPOSITION VII. 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 those sides multiplied by the cosine of the included angle. Let ABC be a spherical triangle,... | |
| Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...would equal C (Ch. 16, VIII.). 111. In a right-angled spherical triangle, the cosine of the hypotenuse **is equal to the product of the cosines of the other two sides.** LetJ.JJC'be a triangle rightangled at B, and on the surface of a sphere whose centre is O, the vertex... | |
| Webster Wells - Trigonometry - 1887 - 200 pages
...sin a _ sin b _ sin c sin A sin В sin C 156. In any spherical triangle, the cosine of either side **is equal to the product of the cosines of the other two sides, plus the** continued product of their sines and the cosine of their included angle. In the right triangle BCD,... | |
| Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...This remark applies also to that which follows. 91. In any spherical triangle the cosine of each side **is equal to the product of the cosines of the other two sides plus the product of** the sines of these sides and the cosine of their included angle. Пcпсв GENERAL, FORMUL^E. Fig.... | |
| Henry Hunt Ludlow - Logarithms - 1891 - 322 pages
...у = сов or cos /Î + sin or sin /Î cos C. . . . (139) That is: Лиг eosine of any faec-angtt **is equal to the product of the cosines of the other two** face-angles, plus the product of their sines multiplied by the cosine of their included dihedral. 132.... | |
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