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Libros Libros 1 a 10 de 38 sobre A circle which touches one side of a triangle and the other two sides produced, is...
" A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle. "
A treatise on plane co-ordinate geometry - Página 271
1855 - 299 páginas
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...be in Harmonical Progression, when a, b, c are in Arithmetical Progression. 13. Find the radius of the circle which touches one side of a triangle and the other two produced. VII.—ALGEBRA, TRIGONOMETRY, AND ANALYTICAL GEOMETRY. 1. Investigate the expansion of a"...
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - 1862 - 326 páginas
...Hence Similarly Hence the required equation is cos — V<* + cos — V/3 + cos — /v/7 = 0. л л л 315. To. find the equation to the circle which touches...0 and the other sides produced, a is positive and ß and 7 are negative. Hence by Art. 309, the form of the equation to the circle must be V(- fa) +...
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Elementary Trigonometry: With a Collection of Examples

Thomas Percy Hudson - 1862
...points, is — , where r is the radius of the inscribed circle. 24. Three circles are described, each of which touches one side of a triangle and the other two sides produced. If D be the point of contact of the side £C, E that of AC, and F that of AB, shew that AE=BD, BF=CE,...
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - 1866 - 192 páginas
...the triangle. For example Js(sa)(sV)(tc) _ /(t-'j)(tV)(tc) >--- - - : 103 135. To find the radius of the circle which touches one side of a triangle and the other two sides produced. Let ABC be a triangle ; and let 0, be the centre of th circle which touches BC and the other sides produced....
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - 1866 - 192 páginas
...example r _ ab sin C _ db sin C! 2* ~ a + b + <; ' 135. To find tlie radius of the circle which towhes one side of a triangle and the other two sides produced. Let ABC\& a triangle; and let 0, be the centre of the circle which touches SC and the other sides produced....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...meet will be the centre of the required circle. The demonstration will be similar to that in IV. 4. A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle. We can also describe a triangle equiangular to a given...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...meet will be the centre of the required circle. The demonstration will be similar to that in IV. 4. A circle which touches one side of a triangle and the other two sidus produced, is called an escribed circle of the triangle. We can also describe a triangle equiangular...
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A Syllabus of Trigonometry

Arthur Stokes - 1868
...- a = Л-F, ) = s - 6 = .BF, CD = s - c = CE. 119. To ^nef the radius of the escribed circle, ie of the circle which touches one side of a triangle, and the other two produced. Let FDE be such a circle touching BC, iea'i&D and the other sides produced in E, F. O its...
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An Elementary Treatise on Conic Sections and Algebraic Geometry: With ...

George Hale Puckle - 1870 - 362 páginas
...,C s'-- : cos*- : cos - , and the required equation is Ti „- -3A Ti C1 — INSCRIBED CIECLE. 351. To find the equation to the circle which touches one side of the triangle of reference and the two others produced. Let the circle touch BC, and AB, AC produced;...
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - 1874 - 358 páginas
...cos'Therefore the required equation is A , B ,0 G , A cos -=• ya + cos — vp + cos -¿- V7 = 0. 325. To find the equation to the circle which touches one...0 and the other sides produced, a is positive and ß and 7 are negative. Hence by Art. 318, the form of the equation to the circle must be V(- la) +...
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