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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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by ttcice the rectangle contained by the side, upon which, when...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 first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...obtuse-angled triangle the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them and the distance between a perpendicular drawn to that side produced from the opposite...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...from either of the acute angles to the opposite side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the...obtuse angle, by twice the rectangle contained by the aide upon which, when produced, the perpendicular falls, and the straight line intercepted without...
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Pure Mathematics, Volum 1

Edward Atkins - 1874
...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, 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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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...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 staight line intercepted without the triangle,...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...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 th« triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...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. 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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Examination Christmas,1875

Education Department,London - 1876
...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 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 Madras University Calendar, Volum 1

University of Madras - 1876
...produced, prove that 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...opposite side produced, the square on the side sid)tending 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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