| Joseph Claudel - 1906 - 758 pages
...cos q - cos p . 1 . . 1 2 ^ * 2 From the first formula it is seen that the sum of the sines oj two **angles is to their difference as the tangent of half the sum** oj these angles is to half their difference. 4th. Some other convenient transformations of products,... | |
| International Correspondence Schools - 1906 - 634 pages
...formulas are derived in Appendix II. 20. Principle of Tangents. — The sum of any two sides of a triangle **is to their difference as the tangent of half the sum of** the opposite angles is to the tangent of half their difference. That is (Fig. 6), a + d _ ta a - b... | |
| 1906 - 230 pages
...formulas are derived in Appendix ll. 20. Principle of Tangents. — The sum of any two sides of a triangle **is to their difference as the tangent of half the sum of** the opposite angles is to the tangent of half their difference. That is (Fig. 6), ab tan i (A - B)... | |
| Fletcher Durell - 1910 - 348 pages
...sin В 107 TRIGONOMETRY 75. Law of Tangents in a triangle. In any triangle the sum of any two sides **is to their difference as the tangent of half the sum of** the angles opposite the given sides is to the tangent of half the difference of these angles. In a... | |
| Fletcher Durell - 1911 - 336 pages
...107 sin C' TRIGONOMETRY 75. Law of Tangents in a triangle. In any triangle the sum of any two sides **is to their difference as the tangent of half the sum of** the angles opposite the given sides is to the tangent of half the difference of these angles. In a... | |
| Robert Édouard Moritz - 1913 - 562 pages
...c- a tan 5 (С - Л) Formulas (7) embody the Law of tangents: In any triangle, the sum of two sides **is to their difference as the tangent of half the sum of** the angles opposite is to the tangent of half their difference. The formulas (6), which we shall have... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - 1914 - 308 pages
...logarithms the following theorem is needed: TANGENT THEOREM. In any triangle the sum of any two sides **is to their difference as the tangent of half the sum of** the opposite angles is to the tangent of half their difference. „ „ a sin a: f . ,, Proof. T =... | |
| Charles Sumner Slichter - 1914 - 520 pages
...- C) c + a tan KC + A) c - a tan i(C - A) Expressed in words: In any triangle, the sum of two sides **is to their difference, as the tangent of half the sum of** the angles opposite is to the tangent of half of their difference. GEOMETRICAL PROOP: From any vertex... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 348 pages
...logarithms the following theorem is needed: TANGENT THEOREM. In any triangle the sum of any two sides **is to their difference as the tangent of half the sum of** the opposite angles is to the tangent of half their difference. a sina Proof. r = -. — -, from sine... | |
| Alfred Monroe Kenyon, William Vernon Lovitt - 1917 - 384 pages
...sides arid the included angle are given. 101. Law of Tangents. The sum of any two sides of a triangle **is to their difference as the tangent of half the sum of** their opposite angles is to the tangent of half their difference. From the law of sines, we have a... | |
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