| John Gummere - Surveying - 1814 - 390 pages
...姊feo 轩e 矿fhe 冲being 旦九e 钝， " fO 卢indthe ? f @ e 扩angze8a 飞耳劫订e · RULE. **As the side opposite the given angle, Is to the other given** aide, ? . So is the sine of the given angle, To the sine of the angle opposite the other given side.*... | |
| John Gummere - Surveying - 1828 - 406 pages
...2. Two sides and an angle opposite one of them being given, to find the other angles and side. RULE. **As the side opposite the given angle, Is to the other given side, So is the sine of the** angle opposite the former, To the sine of the angle opposite the latter.* Add the angle thus found... | |
| John Gummere - Surveying - 1828 - 394 pages
...2. Two sides and an angle opposite one of them being given, to find the other angles and side. RULE. **As the side opposite the given angle, Is to the other given side, So** iß the sine of the angle opposite the former, To the sine of the angle opposite the latter.* * This... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...triangle when two of its sides and an angle opposite one of the given sides are known. [B. p. 42.J **Solution. First. The angle opposite the other given...are the given sides and A the given angle, the angle** В is found, by the proportion *20 is subtracted from each of these characteristics, because the two... | |
| George Clinton Whitlock - Mathematics - 1848 - 340 pages
...remaining parts. Rule. As the side opposite the given angle, Is to the side opposite the required angle ; **So is the sine of the given angle To the sine of the required angle.** 2°. To illustrate Case II., in the triangle ABC, let AB= 13'56 chs., BC = 7 chs., and the angle A... | |
| James Elliot - 1851 - 162 pages
...Triangle, having given two Sides and an Angle opposite one of them, to find the other Angles. RULE. **As the side opposite the given angle is to the other...is the sine of the given angle to the sine of the** angle opposite the latter side. This being found, the third angle is obtained by Problem i. FORMULA,... | |
| William Schmolz - 1859 - 196 pages
...Given two Sides and an Angle oppoei1e one o/ them, to find the other Angles 4 and Side. ( RULE. — **As the side opposite the given angle, is to the other given side, so is** I sine of the angle opposite the former, to sine of the angle opposite the latter. ( CASE 3. / Given... | |
| Samuel Alsop - Surveying - 1865 - 440 pages
...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 to the former to the sine of the angle opposite the latter. DEMONSTRATION.—Both the... | |
| William James Rolfe, Joseph Anthony Gillet - Astronomy - 1868 - 328 pages
...following proportion: As the side opposite the given angle is to the side opposite the required angle, **so is the sine of the given angle to the sine of the required angle.** After the second angle is found the case becomes the same as (5). In the triangle ABC, Figure 2, given... | |
| Daniel Kinnear Clark - Engineering - 1878 - 1066 pages
...an angle: — as the side opposite to the given angle is to the side opposite to the required angle, **so is the sine of the given angle to the sine of the required angle.** RULE 3. In a right-angled triangle, when the angles and one side next the right angle are given, to... | |
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