| George Adams - Geometry - 1813 - 576 pages
...and an angle opposite to one of them is given, to find another angle ; use the following rule : As the side opposite the given angle, is to the side opposite the required angle ; so is the sine of the givtn angle, to the sine of the required angle. The memory will be assisted... | |
| Scottish school-book assoc - 1845 - 444 pages
...; and the second that by which we find a side, when there are given two angles and a side. RULE I. The side opposite the given angle, Is to the side...given angle Is to the sine of the required angle. RULE II. The sine of the angle opposite the given side, Is to the sine of the angle opposite the required... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...subtracting the sura of the two known angles from 180°. Thirdly. The third side is found by the proportion. As the sine of the given angle is to the sine of the angle opposite the required side, so is the side opposite the given angle to the required side. That... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...subtracting the sum of the two known angles from 180°. Thirdly. The third side is found by the proportion. As the sine of the given angle is to the sine of tlie angle opposite the required side, so is the side opposite the given angle to the required side.... | |
| George Clinton Whitlock - Mathematics - 1848 - 340 pages
...CASE II. Two sides and an angle opposite one of them being given to find the remaining parts. Rule. As the side opposite the given angle, Is to the side opposite the required angle ; So is the sine of the given angle To the sine of the required angle. 2°. To illustrate Case II.,... | |
| Benjamin Peirce - Trigonometry - 1852 - 410 pages
...subtracting the sum of the two known angles from 180°. Thirdly. The third side is found by the proportion. As the sine of the given angle is to the sine of the angle opposite the required side, so is the side opposite the given angle to the required side. That... | |
| Henry Davis Hoskold - 1863 - 308 pages
...side opposite the given angle ; that is,, the side opposite the given angle is to the side opposite to the required angle as the sine of the given angle is to the sine of the required angle. PROBLEM 16. Given two sides of an oblique-angled triangle and the containing angle, to find the other.... | |
| William James Rolfe, Joseph Anthony Gillet - Astronomy - 1868 - 328 pages
...an angle opposite one of them are given. To find a second angle, form the following proportion: As the side opposite the given angle is to the side opposite the required angle, so is the sine of the given angle to the sine of the required angle. After the second angle is found... | |
| Adrien Marie Legendre - Geometry - 1871 - 490 pages
...216, and a = 117, to find E, C, and c. From Formula (13), we have, a : b : : sin A : sin B ; that is, the side opposite the given angle, is to the side...given angle is to the sine of the required angle. Whence, by the application of logarithms, (ac) log a + log 6 + log sin A — 10 = log sin B ; (ac)... | |
| Aaron Schuyler - Measurement - 1873 - 508 pages
...the order of the couplets of the proportion iiv Case I, we have (1) a : b : : sin A : sin B. Hence, The side opposite the given angle is to the side opposite...given angle is to the sine of the required angle. ,.,. ,ON . „ b sin A (1) gives (2) sm B = (I . • . (3) log sin .6 = log b -f log sin A -f ac log... | |
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