| Thomas Keith - Navigation - 1810 - 478 pages
...angles, when two sides and an angle opposite to one of them are given. The IJd. Finds a side, when **two angles and a side opposite to one of them are given.** The Hid. Finds the angles, from the three sides being given. The IVth. Finds the third side, when two... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...the theory of trigo'nometry furnish the following rules for the solution of the different cases. 1. **When two sides and an angle opposite to one of them,...angles and a side opposite to one of them, are given.** As any side of a triangle is to the sine of its opposite angle, so is any other side of the triangle... | |
| Thomas Keith - Navigation - 1826 - 504 pages
...angles, when two sides and an angle opposite to one of them are given. The lid. Finds a side, when **two angles and a side opposite to one of them are given.** The Hid. Finds the angles, from the three sides being given. The IVth. Finds the third side, when two... | |
| John Radford Young - Astronomy - 1833 - 308 pages
...opposite to the former, is to the sine of' the angle opposite to the latter. Whenever, therefore, we know **two sides and an angle opposite to one of them, or two angles and a side opposite to one of them,** the other three parts of the triangle may always be determined by help of this rult. The cosine of... | |
| John Charles Snowball - 1837 - 322 pages
...equations we can determine ф and c. 56. In Article 52, the triangle has been apparently solved when **two angles and a side opposite to one of them are given** ; and in Art. 54, the triangle has been apparently solved from two sides and the angle opposite to... | |
| John West, Sir John Leslie - Analytic functions - 1838 - 664 pages
...257 or 258. The other three cases, when two angles and the in. eluded side, — the three angles, — **two angles and a side opposite to one of them, are given,** may be solved by the corresponding theorems ; but it seems better to reduce them, by means of the reciprocal... | |
| Thomas Keith - 1839 - 498 pages
...the angles, when two sides and an angle opposite to one of them are given. The Hd. Finds a side, when **two angles and a side opposite to one of them are given.** The Hid. Finds the angles, from the three sides being given. The IVth. Finds the third side, when two... | |
| Andrew Bell - Mathematics - 1842 - 402 pages
...other parts. Ans. B = 42° 15' 13"-66, C = 34° 15' 2"-76, and c = 40° 0' 10". 359. Case VI. — "When **two angles and a side opposite to one of them are given.** The side opposite to the other given angle will be found by the theorem in 358. Thus, if A, B, a, are... | |
| Charles Hutton - Mathematics - 1843 - 570 pages
...Cor. in the following form : — Cagnoli's polar criterion of a unique solution. When two angles A, B, **and a side opposite to one of them, are given to find** b; then b will have only one value, whilst A is contained between В and П — В: and the side and... | |
| Scottish school-book assoc - 1845 - 444 pages
...above theorem enables us to find the sides and angles of any triangle, when there are given either **two sides and an angle opposite to one of them, or two angles and a side opposite to one of them.** If, however, the data be two sides, and the angle opposite to. the lens, there are two solutions, and... | |
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