| Charles Davies - Geometry - 1872 - 455 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 - Measurement - 1864 - 490 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 - Measurement - 1875 - 184 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 - Engineering - 1878 - 984 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 - Surveying - 1885 - 133 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 - Trigonometry - 1886 - 199 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 - Engineering - 1889 - 1011 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 - Geometry - 1896 - 368 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 - Engineering - 1907 - 1129 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 - Engineering - 1918
...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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