| FLETCHER DURELL - 1911
...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 triangle... | |
| Robert Édouard Moritz - 1913 - 520 páginas
...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 occasion... | |
| CLAUDE IRWIN PALMER - 1914
...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 - 490 páginas
...- 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 of... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 páginas
...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 theorem.... | |
| William Charles Brenke - 1917 - 160 páginas
...twice their product by the cosine of their included angle. Law of Tangents. — The sum of 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. Half Angles. — The sine of half an angle... | |
| Alfred Monroe Kenyon, William Vernon Lovitt - 1917 - 357 páginas
...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... | |
| LEONARD M. PASSANO - 1918
...54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides **is to their difference as the tangent of half the sum of the** angles opposite the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b... | |
| Leonard Magruder Passano - 1918 - 141 páginas
...54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides **is to their difference as the tangent of half the sum of the** angles opposite the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b... | |
| 1888
...logarithm of a number having four places. 5. Show that in any plane 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. GENERAL HISTORY. 1. Before the Greeks,... | |
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