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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 62
by Euclid, John Playfair - 1819 - 333 pages
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...part produced. 8. PUOP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...— THEOR. — (Important.} In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...which when produced the perpendicular falls, and the st. line intercepted without the triangle between the perpendicular and the obtuse angle. CONS. —...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS. 45 the squares of the sides containing the obtuse angle,...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. In every triangle the square of...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 134 pages
...perpendicular It drawn from cither of tlte acute s to the opposite sidt produced, the square of the fide subtending the obtuse angle is greater than the squares of the sides containing the rib'use angle by tiriee the rect. contained by the side upon which when produced the perp. falh, and...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...proposition fail ? 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute nngles to the opposite side produced, the square of the side...than the squares of the sides containing the obtuse angles by twice the rectangle contained by the side upon which, when produced, the perpendicular falls,...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860 - 186 pages
...part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC,...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC....
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side, produced, the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,...
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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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let-4-BCbe an obtuse-angled triangle,...
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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...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. . , Given an obtuse-angled triangle...
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