| Benjamin Peirce - Trigonometry - 1852 - 400 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 - 400 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 - 520 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 - 514 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 - 628 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 - 208 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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