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" ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... "
Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...
by John Mason Good - 1813
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...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...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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...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...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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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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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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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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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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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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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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...angles to the opposite side produced; then the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse...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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