 | John Bonnycastle - 1806 - 464 pągines
...Given <J The side B c 1 14° 30' Ans.< ^ A 48° 30' (.The ^ c - 125° 20' t ^ B 62° 54' CASE II. When two angles and a side opposite to one of them are given, to find the rest. 1. Tofind the other opposite side. As sin ^ opp, given side : sin that side : : sin... | |
 | Thomas Keith - 1810 - 478 pągines
...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 - 1824 - 572 pągines
...for the solution of the different cases. 1. When two sides and an angle opposite to one of them, or two 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 - 1826 - 504 pągines
...a=5, or atZ>=180, the cases will not be ambiguous, but if 0=90°, there will be two solutions. When two angles, and a side opposite to one of them, are given, to find the rest (see Case ivth, vth, and vith), the values of the required parts are subject to ambiguity;... | |
 | John Charles Snowball - 1837 - 322 pągines
...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 - 1838 - 664 pągines
...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 pągines
...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 - 1842 - 402 pągines
...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... | |
 | John Charles Snowball - 1880 - 256 pągines
...and (c - Ф') will be the segments of AB. 54. In (50) the triangle has apparently been solved when two angles and a side opposite to one of them are given ; and in . (52) the triangle has apparently been solved from two sides and the angle opposite to one... | |
 | George Albert Wentworth - 1882 - 234 pągines
...93 ; Case III., when two sides and an angle opposite to one of them are given, 95 ; Case IV., when two angles and a side opposite to one of them are given, 97; Case V., when the three sides are given, 98 ; Case VI., when the three angles are given, 99 ; area... | |
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III., when two sides and an angle opposite to one of them are given... 
