| John Radford Young - 1855 - 218 pages
...tanABD and this proportion expressed in words is the following rule. RULE. As the sum of the two given **sides is to their difference, so is the tangent of half the sum of** the opposite angles to the tangent of half their difference. that is 0-6 (1) Two sides of a triangle... | |
| William Somerville Orr - Science - 1856 - 622 pages
...difference. The following, therefore, is the rule :— ROLE. — As the sum of the two given sidee **Is to their difference, So is the tangent of half the sum of** the opposite angles To the tangent of half their difference. The half difference of the unknown angles... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...II. When the three given parts are two sides and the included angle. — As the sum of the two given **sides is to their difference, so is the tangent of half the sum of** the opposite angles to the tangent of half their difference. In the triangle ABC, AB = 345, and BC... | |
| Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...their contained angle, are given. As the sum of the two sides, is to the difference of the sides ; **so is the tangent of half the sum of their opposite angles, to the tangent of half** the difference of the same angles. Then by adding half the sum to half the difference the greater angle... | |
| Frederick Augustus Griffiths - 1859 - 422 pages
...their contained angle, are given. As the sum of the two sides, is to the difference of the sides ; **so is the tangent of half the sum of their opposite angles, to the tangent of half** the difference of the same angles. Then by adding half the sum to half the difference the greater angle... | |
| Alfred Wilks Drayson - 1861 - 236 pages
...quantities we proceed as follows : — Suppose AB, BC, known, and the angle ABC. Then as the sum of the **two sides Is to their difference, So is the tangent of half the sum of** the two unknown angles To the tangent of half their difference. Half their difference thus found, added... | |
| William Thomas Read - 1862 - 144 pages
...included angle, to find the rest. Proposition HI. may here be written as a rule. " As the sum of the given **sides is to their difference, so is the tangent of half the sum of** the opposite angles to the tangent of half their difference. And the half difference added to half... | |
| Olinthus Gregory - 1863 - 482 pages
...180°, the remainder will be the sum of the other two angles. Then say, — As the sum of the given **sides, Is to their difference ; So is the tangent of half the sum of** _ the remaining angles, To the tangent of half their difference. Then, secondly, say, — As the cosine... | |
| Samuel Alsop - Surveying - 1865 - 440 pages
...angle from 180° : the remainder will be the sum of the remaining angles. Then, As the sum of the given **sides is to their difference, so is the tangent of half the sum of** the remaining angles to the tangent of half their difference. This half difference added to the half... | |
| William Davis Haskoll - 1868 - 252 pages
...greater side, the required angle will be acute. When two sides and their included angle are given. — **As the sum of any two sides is to their difference,...angles, to the tangent of half their difference. Then** the half difference of these angles, added to their half sum, gives the greater angle, and subtracted... | |
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