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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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general Report on Public Instruction in the lower Provinces of the Bengal ...

JOHN GRAY - 1857
...sides of a triangle are together greater than the third side. the squares of the sides containing it by twice the rectangle contained by the side upon...perpendicular falls, and the straight line intercepted with the triangle between the perpendicular and the obtuse angle. 3. A straight line is drawn from...
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858
...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. 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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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858
...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. 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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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 sider
...the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS. 45 the squares of the sides containing the obtuse angle,...triangle between the perpendicular and the obtuse angle. In every triangle the square of the side subtending an acute angle is less than the squares of the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...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...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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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volum 2

Euclides - 1858
...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 - 1869 sider
...triangles, if a perpendicular be drawn from either of the acute nngles to the opposite side produced, the square of the side subtending the obtuse angle is...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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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...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. 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
...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. 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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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...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. 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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