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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 - 1860 - 361 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...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
...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 - 1860 - 317 sider
...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 is...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 examination of candidates for appointment to ...

War office - 1861
...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 examinations for direct commissions [&c.].

War office - 1861 - 12 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 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
...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
...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 is...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
...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 - 1863
...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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Papers Read at the Royal Institute of British Architects

1865
...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. 7. Prop. 14. — Theorem. To describe a square equal to a given rectilineal figure. SECOND DAY.—...
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