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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...
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 134
by Charles Reiner - 1837 - 215 pages
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## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...CD and the rectangle BD.DC. Wherefore if a straight lino &c. QED PROP. xxix. THEOREM. (E. 2. 12). In obtuseangled triangles, if a perpendicular be drawn from either of the acute angles to ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the...
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## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...divided in H so that the rectangle AB, BH is equal to the square on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be drawn...acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse...
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## Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...contained by the parts, except when the line is bisected, and then they are equal. SECTION IV. i. In obtuse-angled triangles, if a perpendicular be drawn...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...
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## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...parts. 3. If CH produced meets BF at L, the angle CLB is a right angle. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn...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...
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## First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...squares described on the other two sides, the angle contained by these two sides is a right angle. 9. In obtuse-angled triang-les, if a perpendicular be drawn...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...
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## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...and one part are equal to three times the square on the other part. 12. In an obtuse-angled triangle, 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...
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## Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be dravw, 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...
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## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...produced. ^ Describe a rectergle equal to the difference of two given 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...
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## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...; and the straight line AB is divided into two parts in H, us required. QEF PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn...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...
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## Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...lines drawn from the angular points to bisect the opposite sides meet in a point. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn...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...
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