 | George Adams - 1813 - 648 páginas
...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 required angle; so is the sine of... | |
 | John Gummere - 1817 - 392 páginas
...triangle being given, to find the other 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.* •DEMOSSTATIO^. Let ABC, Fig. 40, be any plane triangle, take BF I. The proportions in trigonometry... | |
 | Benjamin Peirce - 1845 - 498 páginas
...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 have the proportion sin. A :... | |
 | 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... | |
 | George Clinton Whitlock - 1848 - 340 páginas
...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 distance, x, of an object rendered... | |
 | Benjamin Peirce - 1852 - 398 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... | |
 | Samuel Alsop - 1865 - 440 páginas
...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, so is the sine of the angle opposite... | |
 | William James Rolfe, Joseph Anthony Gillet - 1868 - 328 páginas
...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 B and C. To find the angle A.... | |
 | Daniel Kinnear Clark - 1878 - 1064 páginas
...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. RULE 2. To find an angle: — as the side opposite to the given angle is to the side opposite to the... | |
 | William Penman - 1885 - 158 páginas
...a triangle the remaining sides. The rule is, " 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." For this purpose it is usual to have resource to logarithmitic calculation, and in " Chambers-s Mathematical... | |
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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. 
