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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 ... - Page 96
by Euclides - 1864
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...perpendicular be drawn from any 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. . , Given an obtuse-angled triangle ABC, having the obtuse angle ACB, and from the point A let AD be...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...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...triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC. if AD be drawn from the vertex to any point in the base, show that the...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...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...triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...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...triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twee the rectangle contained by the side upon which, when...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...Progression. cular be drawn from an acute angle 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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...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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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...perpendicular be drawn from either of the acute angles to the opposite side produved, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twive the rectangle contained by the side upon which, when produved, the perpendicular falls, and the...
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