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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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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...ie cannot be expressed in whole numbers (OM I, p. 369)." 12. =&mftm Heath In obtuse-angled triangles the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained by one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the straight...
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The Thirteen Books of Euclib's Elements.

Euclid - 454 pages
...cutting a given straight line in extreme and mean ratio. PROPOSITION 1 2. In obtuse-angled triangles the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained by one of the sides about 'he obtuse angle, namely that on which the 26 — 2 perpendicular falls, and...
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Calendar

University of Cambridge - 1859 - 312 pages
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Examination Papers

University of Toronto - 1905 - 1446 pages
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1913 - 202 pages
...EFG are equal. 4-. (a) Prove that in an obtuse-angled triangle if a perpendicular be drawn from one of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the sum of the squares on the other sides by twice the rectangle contained by the side on which, when produced,...
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Calendar

University College, London - 1894 - 498 pages
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pitt press mathematical series euclids elements of geometry

h. m. taylor - 698 pages
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The Surveyor, Volumes 21-22

Surveying - 1908 - 608 pages
...7 3 i у" - 4.x2 = 4.-K + 1 4. Show that 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 opposite the obtuse angle is greater than the sum of the squares on the sides forming the obtuse angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1860 - 342 pages
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Examination,Midsummer,1879

Education Department - 1879 - 1136 pages
...angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite aide produced, the square on the side subtending the obtuse Angle is greater than the sum of the squares on the sides containing the obtu=e angle, by twice the rectangle contained by the...
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