| William Somerville Orr - 1856
...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 - 1858 - 324 páginas
...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 = 174,... | |
| Alfred Wilks Drayson - 1861 - 192 páginas
...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 to... | |
| William Thomas Read - 1862
...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 the... | |
| Olinthus Gregory - 1863
...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 - 1865 - 428 páginas
...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 sum... | |
| William Davis Haskoll - 1868 - 184 páginas
...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, So is the tangent of half the sum of** their opposite angles, to the tangent of half their difference. Then the half difference of these angles,... | |
| William Thomas Read - 1869 - 154 páginas
...triangle DCB Sin В = Therefore Sin A DC BC DC 0 DC a 1. Sin В Or Sin A : sin B : : a : Ъ. (2) In any **plane triangle, as the sum of any two sides is to...difference, so is the tangent of half the sum of the** opposite angles, to the tangent of half their difference. From the preceding, we have, a^_ sin A Ъ... | |
| Horatio Nelson Robinson - 1875
...41' 36" i sum 71° 50' 48" Here we will apply the following theorem in trigonometry. As the sum of **two sides is to their difference, so is the tangent of half the sum of the** angles at the base, to the tangent of half their difference. Let x= the half difference between D and... | |
| Daniel Kinnear Clark - 1878 - 984 páginas
...the included angle are given. • RULE 4. To find the other side: — • as the sum of the two given **sides is to their difference, so is the tangent of half the sum of** their opposite angles to the tangent of half their difference — add this half difference to the half... | |
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