 | George Adams - Geometry - 1813 - 648 pages
...sides and an angle opposite to one of them is 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... | |
 | Surveying - 1814 - 402 pages
...contrary. When the angles, and one side are given, to find the other sides, or either of them. RULE 1. As the sine of the angle opposite the given side, Is to the given side; So is the sine of the angle opposite the side required. To the side required. • When... | |
 | John Gummere - Surveying - 1814 - 398 pages
...180°, the remainder will be the angle opposite the given side. Then, As the rectangle of radius and the sine of the angle opposite the given side, Is to the rectangle of the sines of the other angles, So is the square of the given side, To double the area.*... | |
 | John Gummere - Plane trigonometry - 1817 - 392 pages
...CASE 1. The angles and one side of any plane triangle being given, to find the other sides. RULE. As the sine of the angle opposite the given side, Is...the sine of the angle opposite the required side, So is the given side, To the required side.* •DEMOSSTATIO^. Let ABC, Fig. 40, be any plane triangle,... | |
 | John Gummere - Surveying - 1828 - 404 pages
...CASE 1. The angles and one side of any plain triangle being given, tofind the other sides. RULE. As the sine of the angle opposite the given side, Is to the sine of the angle opposite the required s1de, So is the given side, To the required side.* * DEMONSTRATION. Let ABC, Fig. 40, be any plane... | |
 | Scottish school-book assoc - 1845 - 444 pages
...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...required side, As the given side Is to the required side. EXAMPLE. In the triangle ABC, given AB=450, BC=411, and the ¿С=60Э, to find the remaining angles... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...To find either of the other sides, we have 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,... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...To find either of the other sides, we have 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,... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...: CASE. I. The angles and one side of a 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... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...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... | |
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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. 
