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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... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 90
by Euclides - 1871
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Pure mathematics, Volume 1

Edward Atkins - 1874
...the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA 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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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...having three acute angles. PROPOSITION III. In obtuse-angled triangles, the square on the side opposite the obtuse angle is greater than the squares on the sides containing it by twice the rectangle contained by either of those sides and the part of it intercepted between...
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The Madras University Calendar, Volume 1

University of Madras - 1876
...a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that the square on the side subtending the obtuse angle...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 i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the squara on the sides containing the obtuse angle, by twice the rectanglt contained by the side, upon...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...acute angles to the 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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Examination Christmas,1875

Education Department,London - 1876
...squares. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles on the 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,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...on AH. QEF Proposition 12.— Theorem. 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 sid)tending the obtuse angle is greater than the squares on the sides containing the obtuse angle,...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 349 pages
...other part. PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be dravw, from either of the acute angles to the opposite side produced,...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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...explain the terms ex aequali, alternando. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...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
...right angle. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced,...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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