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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... "
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 96
των Euclides - 1864
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...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...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...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...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...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...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 σελίδες
...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...perpendicular falls, and the straight line intercepted u-ithout the triangle between tiie perpendicular and the obtuse angle. Let ABC be an obtuse-angled...

Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 σελίδες
...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...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...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 σελίδες
...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...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...

Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 σελίδες
...perpendicular be dravw, 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...angle, by twice the rectangle contained by the side, upor^which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 σελίδες
...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...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 σελίδες
...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...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...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...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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