 | 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
...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 - 236 pages
...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 half their sum,... | |
 | William Thomas Read - 1862 - 144 pages
...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... | |
 | Henry S. Merrett - 1863 - 476 pages
...other angles and side. Rule. As the sum of the two given sides is to the difference of those sides, so is the tangent of half the sum of the two unknown angles to the tangent of half their difference. Half the difference thus found, added to half their sum, gives... | |
 | Henry S. Merrett - 1863 - 428 pages
...other angles and side. Rule. As the sum of the two given sides is to the difference of those sides, so is the tangent of half the sum of the two unknown angles to the tangent of half their difference. Half the difference thus found, added to half their sum, gives... | |
 | Olinthus Gregory - 1863 - 482 pages
...the tangent of the sum or difference of the arcs. 11. As the sum of the sines of two unequal arcs, is to their difference ; so is the tangent of half the sum of those two arcs to the tangent of half their difference. 12. Of any three equidifferent arcs, it will... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...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 - 252 pages
...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 - Nautical astronomy - 1869 - 176 pages
...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 their 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... | |
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TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE. 
