 | 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 opposite angle c, the required... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...IN PLANE TRIGONOMETRY. CASE 1st. Having the angles and one side, to find either of the other sides. RULE. As the sine of the angle opposite the given side, is to the given side, so is, the sine of the angle opposite the required side, to the required side. In the triangle... | |
 | William Chauvenet - 1852 - 268 pages
...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 B = a : b whence and whence a sin... | |
 | Benjamin Peirce - Trigonometry - 1852 - 398 pages
...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 is, in the present case, sin. A : sin. С... | |
 | Henry Davis Hoskold - 1863 - 308 pages
...the opposite angles. Rule. — To find a side, begin with the angle opposite the given side; 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. And when two angles of any oblique triangle are given, the... | |
 | Henry S. Merrett - 1863 - 428 pages
...when two angles of a triangle and a side opposite to one of them are given to find the other side : Rule. As the sine of the angle opposite the given side is to the given side, so is the sine of the angle opposite the required side to the required side. When two sides... | |
 | Henry S. Merrett - 1863 - 476 pages
...when two angles of a triangle and a side opposite to one of them are given to find the other side : Rule. As the sine of the angle opposite the given side is to the given side, so is the sine of the angle opposite the required side to the required side. When two sides... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...one side, or two sides and an angle opposite to one of them, being given, to find the rest. RULE. 1. As the sine of the angle opposite the given side is...required side, so is the given side to the required side. 2. As the side opposite the given angle is to the other given side, so is the sine of the angle opposite... | |
 | William James Rolfe, Joseph Anthony Gillet - Astronomy - 1868 - 328 pages
...subtract the sum of the given angles from 180°. To find the other sides, form a proportion as follows : As the sine of the angle opposite the given side is...required side, so is the given side to the required side. Thus in the triangle ABC, Figure 2, given the side a, and the angles B and C. To find the angle A.... | |
 | Charles Davies - Geometry - 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...the sine of the angle opposite the required side, as the given side is to the, required side. Applying logarithms, we have (Ex. 4, P. 15), (ac) log sin... | |
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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. 
