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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... "
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... - Page 12
edited by - 1889
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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. Let-4-BCbe an obtuse-angled triangle, having the obtuse angle A CB, and from the point A, let AD be...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...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. . , Given an obtuse-angled triangle ABC, having the obtuse angle ACB, and from the point A let AD be...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...squares of the sides containing the obtuse angle, by twee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced; then the square of the side subtending the obtuse angle...triangle between the perpendicular and the obtuse angle. (References — Prop. i. 47 ; n. 4.) Let ABC be an obtuse-angle triangle, having the obtuse angle ACB;...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...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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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...opposite side produced, the square on the aide 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. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A, let AD be...
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