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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 96
by Robert Potts - 1860 - 361 pages
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...explain the terms ex aequali, alternando. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...square on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...squares. 2. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles on the 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,...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 266 pages
...the other sides. Let BAC be an acute angle, then Make AD = AC, and at right angles to AB (I. 22). 22. The square on the side subtending the obtuse angle, is greater than the squares on the other sides. 23. Any side of a triangle is greater than the difference between the other two. 24. Two...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...opposite sides meet in a point. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...in H, us required. QEF PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880
...the rectangle contained by OB and ОС. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...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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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...log 15650 = 4-1945143, log 15651 = 4-1945421. c 2 MATHEMATICS. (2.) 1. In any obtuse-angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides, by twice the rectangle contained by one of the sides, and...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...equal to the squares of the four sides. 4. 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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...sides containing the acute angle. 127. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 128. If the square on one side of a triangle be less than the squares on the other two sides, the angle...
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