 | Charles William Hackley - Trigonometry - 1851 - 536 pages
...: : tan 4 a : tan 4 (b — c) . . . That is, the cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference,...half the included angle is to the tangent of half ike sum of the other two angles. The second may be repeated in a similar manner, changing cosine into... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...sum of any two sides of a spherical triangle is to the sine of the half difference of the same sides, as the cotangent of half the included angle is to the tangent of the half difference of the other two angles. The half sum, and the half difference of two angles of... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...the 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 half the difference of the other two angles. cos £ (A -f- B) : cos £ (A — B) : : tan £ c : tan £ (a +... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...the 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 half the difference of the other two angles. BOOK V. cos 4 (A -+- 13) : cos £ (4 — 5) : : tan £ c : tan... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...the 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
...the 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 half the difference of the other two angles. BOOK V. cos £ (A + B) : cos £ (A — B) : : tan £ c : tan £... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...the 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 half the difference of the other two angles. cos £ (A + B) :cos$(A — 5) : : tan $ e : tan 4(a -f- 6), (188)... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...cot J (7 : tan ¿ (4 — .0). (187) That is, fhe 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 (ingle is to the tangent of half the sum of the other two angles. The sine of half the sum of two sides... | |
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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... 
