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" In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 62
por John Playfair - 1819 - 333 páginas
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...12). In obtuseangled triangles, if a perpendicular be drawn from either of the acute angles to ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the sides containing that angle, by twice the rectangle contained by the side to which, when produced,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...opposite side produced, the square on the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse angle by twice the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle by twice the...perpendicular falls and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. If the triangle be isosceles,...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 páginas
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...which, when produced, the perpendicular falls, and the line without the triangle between the perpendicular and the obtuse angle. ABDE is a square on AB, the...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 349 páginas
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side, upor^which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls and the straight line intercepted without the triangle...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...opposite side produced, the square on the side subtending the obtuse angle is greater than the square on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...squares of the four sides. 4. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. If one angle of a triangle be...
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The student's guide to the University of Durham, with information respecting ...

1880 - 144 páginas
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 10. To describe a square that...
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