| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...possible, when the sum of two sides, any how taken, is greater than the third. BiPROBLEM. / / 145. **Two sides of a triangle, and the angle opposite one of them,** being given, to describe the. triangle. Let A and B be the given sides, and C the given angle. There... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...be possible, when the sum of two sides, any how taken, is greater than the third. AJBi PROBLEM XI. **Two sides of a triangle, and the angle opposite one of them,** being given, to describe the triangle. Let A and B be the given sides, and C the given angle. There... | |
| Nathan Scholfield - 1845 - 894 pages
...always be possible, when the sum of two sides, any how taken, is greater than the third. PROBLEM XI. **Two sides of a triangle and the angle opposite one of them** being •iven, to describe (hat triangle. Let A and B be the given sides, and C the given angle. There... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...angle D being equal to the alternate angle A, the lines BC, AE are parallel, by th. 10. PROBLEM VIII. **Given two sides of a triangle and the angle opposite one of them to construct the triangle.** There will be two cases : 1. Where the given triangle is right or obtuse. Draw two lines, AB, AC, making... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...always be possible, when the sum of two sides, any how taken, is greater than the third. PROBLEM XI. **Two sides of a triangle, and the angle opposite one of them,** being given, to describe the triangle. Let A and B be the given sides, and C the given angle. There... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...always be. possible,. when the suni of any two of the lines, is greater than the third. PROEL^M.XL; **Two sides of a triangle, and the angle opposite one of them,** . being given, to describe the triangle* Let A' and .B be the given sides, and C the given angle. There... | |
| James Hann - Plane trigonometry - 1854 - 136 pages
...|C, log sin 0 = log 2 + - log a + - log 6 + log cos ¿ C -log(a+¿). ON THE AMBIGUOUS CASE. 20. When **two sides of a triangle and the angle opposite one of them** are given, there is evidently an ambiguity ; for if С A be taken less than EC, but greater, than a... | |
| Charles Davies - Geometry - 1854 - 436 pages
...will always be possible, when the sum of any two of the lines, is greater than the third. PROBLEM XI. **Two sides of a triangle, and the angle opposite one of them,** being given, to construct the triangle. Let A and B be the given sides, and C the given angle. There... | |
| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...less than the sum of the other two, and greater than their difference (BI, P. VII., S.). PROBLEM XI. **Given, two sides of a triangle, and the angle opposite one of them, to construct the triangle.** Let A and B be the given sides, and O the given angle. Draw an indefinite line DG, and at some point... | |
| Henry White - 1864 - 156 pages
...expansion of (a—4)"". 8. Find the sura of n terms of the following series — 3 6 3 113 3+2+4+ 9. **Given two sides of a triangle and the angle opposite one of them** : show how to solve the triangle, and point out when the case is ambiguous. If a=5, i=7, and A=sin... | |
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