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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... "
Examination Papers for Science Schools and Classes - Página 36
por Great Britain. Education Department. Department of Science and Art - 1894
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 páginas
...squares on the sides containing the obtuse angle, by ttcice the rectangle contained by the side, upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. a Let ABC be an obtuse.angled A , having L ACB obtuse. From A draw AD x to BC produced. T/ien must...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 páginas
...squares of the sides containing the obtuse angle, by twice the rectangle contained by the aide upon which, when produced, the perpendicular falls, and the straight line intercepted without tlie triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,...
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 426 páginas
...rectangle AB, BH is equal to the square on AH. QEF Proposition 12. — Theorem. In obtuse-angled triangles if a perpendicular be drawn from either of the acute...perpendicular falls, and the straight line intercepted without th« triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 páginas
...is sometimes said to be cut in section.' medial PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute...which, when produced, the perpendicular falls, and the staight line intercepted without the triangle, between the perpendicular and the obtuse angle. j f....
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Pure mathematics, Volumen1

Edward Atkins - 1874 - 428 páginas
...the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing the obtuse angle,...straight line intercepted without the triangle, between flie perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 páginas
...squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be...
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The Madras University Calendar, Volumen1

University of Madras - 1876 - 580 páginas
...a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that the square on the side subtending the obtuse angle...triangle, between the perpendicular and the obtuse angle. (o) ABC, ADC are two right angled triangles on the same hypothenuse AC. If AD, EC intersect in E, shew...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 páginas
...drawn from either of the acute angles to the opposite side produced, the square on the side sid)tending the obtuse angle is greater than the squares on the...straight line intercepted without the triangle, between flw perpendicular and the obtuse angle. Let ABC be an obtuse- angled triangle, having the obtuse angle...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 páginas
...opposite side produced, the square on the side subtending the obtuse angle is greater than the square on the sides containing the obtuse angle, by twice...triangle between the perpendicular and the obtuse angle. ABC is an isosceles triangle of which AB, AC are equal, BC is produced to D ; then the difference of...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 páginas
...squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and...triangle between the perpendicular and the obtuse angle. Algebra.— 1. If ab (c + d—e—f) 4- cd (e + f—a—b~) + ef ( a + bcd)=o, then (ac) (&-/) (ed)...
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