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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 on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... "
The Element of Geometry - Side 29
av John Playfair - 1836 - 114 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...opposite tide produced, the square on the tide tubtending the obtute angle, it greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the tide upon which, when produced, the perpendicular falls, and 'the straight line intercepted without...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 sider
...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 u-ithout the triangle between tiie perpendicular and the obtuse angle. Let ABC be an obtuse-angled...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...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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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...triangle, between the perpendicular and the obtuse angle. If the triangle be isosceles, the square on the side subtending the obtuse angle is equal to twice...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...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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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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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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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 sider
...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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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...triangle between the perpendicular and the obtuse angle. If one angle of a triangle be equal to two-thirds of two right angles, prove that the square of the...
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