 | 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
...only to make use of a proportion, derived from § 72. 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. Thus, if a (fig. 1) were the given and b the required side, we should... | |
 | 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... | |
 | 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)... | |
 | Henry Davis Hoskold - 1863 - 308 pages
...given angle ; that is,, the side opposite the given angle is to the side opposite to the required angle as the sine of the given angle is to the sine of the required angle. PROBLEM 16. Given two sides of an oblique-angled triangle and the containing angle,... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...one of them, being given, to find the rest. RULE. 1. 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. 2. As the side opposite the given angle is to the other given side,... | |
 | William James Rolfe, Joseph Anthony Gillet - Astronomy - 1868 - 328 pages
...find the other sides, form a proportion as follows : 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. Thus in the triangle ABC, Figure 2, given the side a, and the angles... | |
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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. 
