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" 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. "
Plane and Spherical Trigonometry: An Elementary Text-book - Page 99
by Charles Hamilton Ashton, Walter Randall Marsh - 1900 - 157 pages
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Elements of Geometry and Trigonometry: With Notes

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...
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Elements of Geometry and Trigonometry

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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

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...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...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....
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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...
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Elements of Geometry and Trigonometry

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...
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The Elements of Plane Trigonometry

James Hann - Plane trigonometry - 1854 - 140 pages
...cos |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 perpendicular from...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...
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Guide to the Civil service

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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Elements of Plane Trigonometry

James Hann - Plane trigonometry - 1867 - 156 pages
...logfa+i). log sin ö = log 2 + ó l°g я + ñ log b + log cos ¿¿ ^ OX THE AMBIGUOUS CASE. 20. "Wben 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 BC, but greater than a perpendicular from...
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