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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's Elements in Greek: Vol. I:

Richard Fitzpatrick - Mathematics - 2005 - 296 pages
...squares on С A and AB by twice the rectangle contained by С A and AD. Thus, in obtuse-angled triangles, the square on the side subtending the obtuse angle is greater than the (sum of the) squares on the sides containing the obtuse angle by twice the (rectangle) contained by...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897
...twice the rectangle contained by the parts. 3. In obtuse-angled triangles, if a perpendicular lie 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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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam
...angles equal to a given, rectilineal angle. 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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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 488 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
...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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The Surveyor, Volumes 21-22

Surveying - 1908
...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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Examination,Midsummer,1879

Education Department - 1879
...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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Register

University of Cambridge - 1850
...parallelogram whose angles axe of give* magnitude. 2. 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 suhtending the obtuse angle is greater than the squares of the sides containby the obtuse...
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The Bombay University Calendar

University of Bombay - 1903
...produced and the part produced. 4. In an obtuse-angled triangle, if a perpe ndicnlnr bo drawn from one И of the acute angles to the opposite side produced, the square on the sido opposite the obtuse angle is greater than the squares on the sides containing it, by twice the...
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