| George Adams - Mathematical instruments - 1813 - 534 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 - Plane trigonometry - 1817 - 206 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 - 449 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... | |
| 1845
...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 - 324 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
...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
...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 - Mine surveying - 1863 - 249 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,... | |
| Surveying - 1865 - 428 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 - 308 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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