 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included...tangent of half the difference of the other two angles. BOOK V. cos 4 (A -+- 13) : cos £ (4 — 5) : : tan £ c : tan £ (« + J), (188) sin £ (^ + -8) :... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...(187) That is, y^e cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles. The sine of half the sum of two sides of a spherical triangle is to the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of haJf the difference of the other two angles. By applying (186) and (187) to the polar triangle, Art.... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...(187) That is, The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles. The sine of half the sum of two sides of a spherical triangle is to the... | |
 | Benjamin Greenleaf - 1867 - 188 pages
...spherical triangle is to the sine of half their difference as the tangent of half the included side is to the tangent of half the difference of the other two sides. The above four proportions are called, from their inventor, Napier's Analogies. RELATIONS BETWEEN... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...(187) That is, The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles. The sine of half the sum of two sides of a spherical triangle is to the... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included...tangent of half the difference of the other two angles. BOOK V. cos ¿ (A + B) : соз ¿ (A — В) : : tan ¿ с : tan ¿ (a -f 5), (188) sin ¿ (Л + 2?)... | |
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The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of half the difference of the other two angles. 
