 | George Adams - 1813 - 648 páginas
...When two 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 ; so is the given side to the required side. As the side opposite the given angle, is to the side opposite the required angle; so is the sine of... | |
 | George Adams - 1813 - 576 páginas
...when two angles of a triangle, and a side opposite to one of them, is given to find the other side. As the sine of the angle opposite the given side,...to the sine of the angle opposite the required side ; BO is the given side to the required side. 2. When two sides and an angle opposite to one of them... | |
 | 1814 - 402 páginas
...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 - 1814 - 398 páginas
...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 - 1817 - 392 páginas
...required. CASES 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, So is the given side, To the required side.* •DEMOSSTATIO^. Let ABC, Fig. 40, be any plane triangle, take BF I. The proportions in trigonometry... | |
 | John Gummere - 1828 - 404 páginas
...TRIGONOMETRY. " 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...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... | |
 | John Gummere - 1836 - 412 páginas
...CASE 1. The angles and one side of any plane triangle being given, to find the other sides. RULE. AB the sine of the angle opposite the given side, Is...side, So is the given side, To the required side.* Let ABC, Fig. 40, he any plane triangle ; take BF=AC and upon AB let fall the perpendiculars CD and... | |
 | Benjamin Peirce - 1845 - 498 páginas
...Secondly. 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...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 have the proportion sin. A :... | |
 | Scottish school-book assoc - 1845 - 444 páginas
...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...the sine of the angle opposite the required side, As the given side Is to the required side. EXAMPLE. In the triangle ABC, given AB=450, BC=411, and... | |
 | Benjamin Peirce - 1845 - 498 páginas
...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... | |
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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. 
