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" ... subtending the obtuse angle, is greater than the squares on 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... "
The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ... - Page 67
by Isaac Todhunter - 1880 - 400 pages
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 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 rectangle contained by the side upon which when produced the perpendicular falls, and the straight line intercepted .without the triangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...perpendicular be drawtt 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 upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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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...angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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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 rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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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 rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle...
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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 rectangle contained by the side upon 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
...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...triangle, between the perpendicular and the obtuse angle. If a line be drawn from the vertex of an isosceles triangle to the base, or the base produced, the...
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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...triangle between the perpendicular and the obtuse angle. 3. When is a straight line said to touch a circle ? To draw a straight line from a given point, either...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 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 rectangle contained by the side upon which when produced the perpendicular falls and the straight line intercepted without the triangle...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 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...triangle, between the perpendicular and the obtuse angle. (References — Prop. I. 47; II. 4.) Hypothesis. — Let ABC be an obtuse-angled triangle, having the...
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