| John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...— b : : tan. r (A + B) : tan. X (A - B) 2 2 The above result may be enunciated thus— ^ The sum of **two sides is to their difference as the tangent of half the** sun of their opposite angles is to the tangent of half their difference. By combining the last two... | |
| Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 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... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 330 pages
...than unity. 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 = sin A : sin B.... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 176 pages
...than unity. 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 = sin A : sin B.... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 198 pages
...than unity. 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** opposlte the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b = sin A... | |
| William Kent - Mechanical engineering - 1923 - 1450 pages
...triangle — Theorem 1. The sines of the angles are proportional to the opposite sides. Theorem 2. **The sum of any two sides is to their difference as the tangent** half the sum of the opposite angles is to the tangent of half their difference. Theorem 3. If from... | |
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