 | Edward Olney - Geometry - 1872 - 562 pages
...a specialty. The preceding sections are thought sufficient for the general student] 143. Prop. — In a Spherical Triangle the cosine of any side is...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 =... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...a specialty. The preceding sections are thought sufficient for the general student.] 143. Prop. — In a Spherical Triangle the cosine of any side is...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 =... | |
 | Edward Olney - Trigonometry - 1872 - 216 pages
...The preceding sections are thought 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 —... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...supplement are the same, the sine of B' OD is still equal to the sine of G. 7» TRIGONOMETRY. 149. In any spherical triangle, the cosine of any side is equal...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... | |
 | Edward Olney - Trigonometry - 1877 - 220 pages
...a specialty. The preceding sections are thought sufficient for the general student.] 143. Prop. — In a Spherical Triangle the cosine of any side is...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 =... | |
 | Horatio Nelson Robinson - Navigation - 1878 - 564 pages
...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... | |
 | 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 - 1883 - 298 pages
...158 XIV. GENERAL FORMULA FOR SPHERICAL TRIANGLES. 188. In any spherical triangle the cosine of either side is equal to the product of the cosines of the other sides, plus the continued product of their sines and the cosine of their included angle. For example,... | |
 | Thomas Marcus Blakslee - Trigonometry - 1888 - 56 pages
...Л. .-. sin a : sin b = sin А : sin В. Law of Cosines. The cosine of any side of a (sph.) triangle is equal to the product of the cosines of the other two sides, plus the product of their sines by the cosine of their included angle. Pythagorean Analogy : cos a = cosp cos... | |
 | Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...general. 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.... | |
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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... 
