 | George Adams - Geometry - 1813 - 648 pages
...given, to find another angle; use the following rule: As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; so is the given side to the required side. As the side opposite the given angle, is to the side opposite the... | |
 | John Gummere - Surveying - 1817 - 384 pages
...triangle being given, to find the othet'sides. » RULE. As the sine of the angle opposite the given side, Is to the sine of the angle opposite the required side, So is the given side, To the required side.* • DIMOHSTATIOS. Let ABC, Fig. 40, be any plane triangle, take... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...sin. /{ ; whence b sin. A sin. J5 = . (134) Secondly. The third angle is found by subtracting the sum of the two known angles from 180°. Thirdly. The third...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.... | |
 | Scottish school-book assoc - 1845 - 444 pages
...and a side. RULE I. The side opposite the given angle, Is to the side opposite the required angle, As the sine of the 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... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...triangle being given, to find the remaining parts. Rule. As the sine of the angle opposite the given side, Is to the sine of the angle opposite the required side ; So is the given side To the required side. 1°. As an example under this case, let it be required to find the... | |
 | James Elliot - 1851 - 162 pages
...one Side, to find either of the other Sides. RULE. As the sine of the angle opposite the given side to the sine of the angle opposite the required side, so is the given side to the required side. FORMULA. Sin A : sin C : : a : c. a being the given side, and A its... | |
 | Benjamin Peirce - Trigonometry - 1852 - 410 pages
...sin. A : sin. B; whence Ism. A sin. B = . a Secondly. The third angle is found by subtracting the sum of the two known angles from 180°. Thirdly. The third...present case, sin. A : sin. С ;= a : с ; whence a sin. С • л , , ,-x с — — : ¡— , — a sin. с cosec. A. (135) sin. A 76. Scholium. Two... | |
 | Benjamin Peirce - Trigonometry - 1852 - 398 pages
...whence . isin. Л , . sin. B = . (134) a Secondly. The third angle is found by subtracting the sum of the two known angles from 180°. Thirdly. The third...That is, in the present case, sin. A : sin. С = a : c; whence с = —. -:-, = a sin. с cosec. A. (135) sin. A 76. Scholium. Two angles are given in... | |
 | Benjamin Peirce - Trigonometry - 1852 - 382 pages
...sin. B ; whence . Is'm. A sin. B =L - . a Secondly. The third angle is found by subtracting the sum of the two known angles from 180°. Thirdly. The third...side, That is, in the present case, sin. A : sin. C =2 a : c ; whence a sin. C . . /-,or-\ c ~ — - - — , =. a sin. c cosec. A. (135} sm.A vf 78.... | |
 | William Chauvenet - 1852 - 268 pages
...the proportion thus : the side opposite the given angle is to the side opposite the required angle as the sine of the given angle is to the sine of the required angle. Thus, with the present data, we have a: b = sin A : sin B whence sin 5 = — (249)... | |
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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. 
