 | Aaron Schuyler - Measurement - 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 by R,... | |
 | Aaron Schuyler - Measurement - 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 proportion, , - n , , ft sin Б s1n A : s1n... | |
 | Daniel Kinnear Clark - Engineering - 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...required side, so is the given side to the required side. RULE 2. To find an angle:: — as the side opposite to the given angle is to the side opposite to the... | |
 | William Penman - Surveying - 1885 - 158 pages
...consists 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...side, so is the given side to the required side." For this purpose it is usual to have resource to logarithmitic calculation, and in " Chambers-s Mathematical... | |
 | Elias Loomis - Trigonometry - 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 the triangle ABC, there are given the angle... | |
 | Daniel Kinnear Clark - Engineering - 1889 - 1020 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...required side, so is the given side to the required side. RULE 2. To find an angle: — as the side opposite to the given angle is to the side opposite to the... | |
 | Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...find the sides, the preceding principle may be stated thus : The sine of the angle opposite the g1ven side is to the sine of the angle opposite the required side as the given side is to the required side. Thus, sin A : sin Б sin A : sin С a : b, a : c. 'b - 95.4;... | |
 | William Chauvenet - Geometry - 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 sin A : sin Б = a : b whence and whence a... | |
 | J. C. Sala - 1896 - 176 pages
...and One Side, to Jind the other Side. RULE.— As sine of the angle opposite 1he given side, is to sine of the angle opposite the required side, so is the given side 10 the required Side. CASE 2. Given two Sides and an Angle opposite one of them, to find the other... | |
 | William Kent - Engineering - 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 two sides and an augle opposite one of them,... | |
| |
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. 
