 | Benjamin Peirce - Trigonometry - 1852 - 398 pages
...gives sin. J (A + C) _ tang. j. i sin. b(A — C) * tang. J (a — c)' which is the same as (350). 80. Theorem. The cosine of half the sum of two angles...their difference, as the tangent of half the side to which they are both adjacent is to the tangent of half the sum of the other two sides ; that is, in... | |
 | Benjamin Peirce - Plane trigonometry - 1861 - 394 pages
...sin, j (A + C) _ tang, ft & sin. i(A — C)~ tang. 4 (a — c) ' l' J which is the same as (350). 80. Theorem. The cosine of half the sum of two angles...of half their difference as the tangent of half the interjacent side is to the tangent of half the sum of the opposite sides ; that is, in the spherical... | |
 | Benjamin Peirce - Trigonometry - 1861 - 396 pages
..._ tang. J ft sin. \ (A — C) tang. \ (a. — c) ' which is the same as (350). (353) 80. Tlieorem. The cosine of half the sum of two angles of a spherical...of half their difference as the tangent of half the interjacent side is to the tangent of half the sum of the opposite sides ; that is, in the spherical... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...tangent of half the included side is to the tangent of half the sum of the other two sides. The sine of half the sum of two angles of a 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...tangent of half the included side is to the tangent of half the sum of the other two sides. The sine of half the sum of two angles of a 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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...J (a — 4) : : cot £ C : tan £ (4 — B). (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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...tangent of half the included side is to the tangent of half the sum of the other two sides. The sine of half the sum of two angles of a 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... | |
 | Benjamin Greenleaf - 1867 - 188 pages
...(a-)-6), (188) sin £ (^ + 5} : sin £ (A — B) : : tan £ c : tan £ (a — i). (189) That is, 7%e cosine of half the sum of two angles of a spherical triangle is to tlte cosine of half their difference as the tangent of half the included side is to the tangent of... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...-f- 6), (188) sin £ (A-\-B) : sin ,} (A — B) : : tan £ c : tan £ (a — 5). (189) That is, 7%e cosine of half the sum of two angles of a spherical triangle it to the cosine of half their difference as the tangent of half the included side is to the tangent... | |
 | Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...tangent of half the included side is to the tangent of half the sum of the other two sides. The sine of half the sum of two angles of a 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... | |
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The cosine of half the sum of two angles of a spherical triangle is to the cosine of half their difference as the tangent of half the included side is to the tangent of half the sum of the other two sides. 
