 | Ferdinand Rudolph Hassler - Astronomy - 1826 - 640 pages
...introduction of p = , as iii section 2 57, becomes : 5 S = (p (p - a] (p - 6) (p - c))i $ 64. Problem 4. Given, two sides, and the angle opposite to one of them ; to find the Surface. Given, 6, c, and C; to find S. Injigwe 8, we have the perpendicular BD' = a sine... | |
 | Ferdinand Rudolph Hassler - Trigonometry - 1826 - 212 pages
...15 or 16, whose sides a, b, c, are respectively opposite to the angles Л, В, С. § 86. Problem 1. Given, two sides and the angle opposite to one of them, to find the angle opposite to the other side. b, c, and the angle It, being given, to find the angle C.... | |
 | John Gregory - 1842 - 328 pages
...the beginning of Section 3. The Solution of Oblique-angled Triangles. 1. In any triangle let there be given two sides and the angle opposite to one of them, to find the remaining side and angles. Let the three angles be represented as before, by c- * c a/ A,... | |
 | John Walmsley - Logarithms - 1865 - 232 pages
...further attention, and will be fully stated. Under certain conditions it is called the Ambiguous Case. Given two sides and the angle opposite to one of them, to solve the triangle. Let а, b, A be the parts given ; then В, С, с are those required. Without first knowing B, we cannot... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...a=versin. (6— c)(l'4-tan.'2 6) ; =versin. (b— c) sec.20 ... (4) Whence a is determined. PROBLEM III. Given two sides and the angle opposite to one of them, to determine the third side, independently of the angle opposite to the other side. Solution. Let a, 6,... | |
 | 1926 - 182 pages
...= 47° 10'. EXERCISES. XXXVIII. Solve by this method Exs. XXI., p. 65 and XXIX. 13—18, p. 95. 76. Given two sides and the angle opposite to one of them, to find the third side. Ex. 1. Given a = 7, 0 = 8, A = 60°, find c. a2 = 62 + <? - 2ÓC cos A, .-. c2-8c+15... | |
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Given, two sides and the angle opposite to one of them, to find the angle opposite to the other side. 