 | Charles Davies - 1872 - 464 pages
...180° — 80° 44' = 99° 16'. To find 6, write the proportion, sin A : sin B : : a : b ; that is, the sine of the angle opposite the given side, is to the sine of the angle opposite the required side, as the given side is to the, required side. Applying... | |
 | Aaron Schuyler - 1864 - 506 pages
.... . . (1) sin A : sin B : : a : b. In like manner we may find, (2) sin A : sin C : : a : c. Hence, The. sine of the angle opposite the given side is to the sine of the tingle opposite the required side as the given side is to the required side. radius R divided... | |
 | Aaron Schuyler - 1875 - 284 pages
...45'. 1. GivenK B = 45° 28'. ta = 7985. (7=180° — (А + B) = 180° — 81° 13' = 98° 47'. Since the sine of the angle opposite the given side is to the sine of the angle opposite the required side as the given side is to the required side, we have the... | |
 | Daniel Kinnear Clark - 1878 - 1022 pages
...apposite angle are two of the given farts. RULE i. To find a side, work the following proportion: — 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. RULE 2. To... | |
 | William Penman - 1885 - 158 pages
...in calculating from a given side and two angles of a triangle the remaining sides. The rule is, " 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." For this... | |
 | Elias Loomis - 1886 - 436 pages
...subtract their sum from 180°. The required sides may be found by Theorem I. The proportion will be, The sine of the angle opposite the given side is to the sine of the angle opposite the required side, as the given side is to the required side. C Ex. 1. In... | |
 | Daniel Kinnear Clark - 1889 - 1030 pages
...opposite angle are two of the given parts. RULE i. To find a side, work the following proportion: — 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. RULE 2. To... | |
 | William Chauvenet - 1896 - 274 pages
...C=180°-(A + B) To find b and c. We apply the theorem of Art. 117, and state the proportions thus : the sine of the angle opposite the given side is to the sine of the angle opposite the required side, as the given side is to the required side. Thus we have... | |
 | William Kent - 1907 - 1206 pages
...third angle = 180° — sum of the two angles. 2. The sides may be found by the following proportion : The sine of the angle opposite the given side is to the sine of the angle opposite the required side as the given side is to the required side. CASE II. Given... | |
 | William Miller Barr - 1918 - 650 pages
...opinante angle arc two of the given parts. Rule 1. To find a Me, work the following proportion: 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. Rule 2. Го... | |
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If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC... 
