 | William Chauvenet - 1852 - 268 pages
...still be valid, so that the theorem is applicable to any spherical triangle. Indeed, according to PI. Trig. Art. 49, this result follows from the nature...spherical triangle, the cosine of any side is equal to the product of the cosines of the other two sides, plus the continued product of the sines of those... | |
 | William Chauvenet - Trigonometry - 1855 - 264 pages
...and one or more of the right triangles A'B'P, &c., would contain the supplements of A, #, (7, or o instead of these quantities themselves. But the sine...spherical triangle^ the cosine of any side is equal to the product of the cosines of the other two sides, plus the continued product of the sines of those... | |
 | William Chauvenet - Trigonometry - 1856 - 272 pages
...still be valid, so that the theorem is applicable to any spherical triangle. Indeed, according to PI. Trig. Art. 49, this result follows from the nature...themselves, and the demonstration of the preceding thcorem might therefore be considered as general, without requiring a special examination of the various... | |
 | Edward Olney - Trigonometry - 1885 - 222 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 equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into... | |
 | 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 equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into... | |
 | 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 equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into... | |
 | 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 equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into... | |
 | William Chauvenet - Plane trigonometry - 1901 - 278 pages
...still be valid, so that the theorem is applicable to any spherical triangle. Indeed, according to PI. Trig. Art. 49, this result follows from 'the nature...various positions of the lines of the diagram. 5. In a xpher!riit tr/nni/fi', /In' coalne of any side M equal to the product of the cosines of (lie othrr... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...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 the other two sides plus the product of the sines of these two sides... | |
 | Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...turn, cos 6 = cos c cos a + sin c sin 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 the other two sides plus the product of the sines of these two sides... | |
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... might therefore be considered as general, without requiring a special examination of the various positions of the lines of the diagram. 5. In a spherical triangle^ the cosine of any side is equal to the product of the cosines of the other two sides,... 