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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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Calendar, for the Year ...

1903
...SCHOLARSHIP EXAMINATION. I. (a) Shew that in an obtuse-angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite side...on the sides containing the obtuse angle, by twice a certain rectangle. (ft) Shew that, if from any point outside a circle, a tangent and a secant be...
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Manual

1903
...points within 1 per cent. Or, 2A. 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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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...triangle, if a perpendicular is drawn from either of the acute angles to the opposite side pivduced, 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 ticice the rectangle contained by the...
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Calendar

University of Sydney - 1906
...together greater than double the median that bisects the third side. ~>. In an obtuse angled triangle, 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 either...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - Accounting - 1907 - 110 pages
...the algebraic identity (a + 6)2 = a"+ 2a& + b*. Q. 7. — Prove that in any obtuse-angled triangle 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 one...
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Introduction and books 1,2

Euclid - Mathematics, Greek - 1908
...cutting a given straight line in extreme and mean ratio. PROPOSITION 12. 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 26 — 2 perpendicular falls, and...
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The Irish Law Times and Solicitors' Journal, Volume 38

Law - 1904
...In an 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 its continuation to meet a perpendicular on it from the opposite angle. 7. From...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...way, of course. Proposition 1 2 deals with the obtuse-angled triangle: 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 Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...geometrical way, of course. Proposition 12 deals with the obtuse-angled triangle: In obtuse-angled triangles, the square on the side subtending the obtuse angle...the obtuse angle by twice the rectangle contained 207 by one of the sides about the obtuse angle, namely that on which the perpendicular falls, and the...
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Dedomena: Euclid's Data, Or, The Importance of Being Given

Euclid - Mathematics - 2003 - 271 pages
...a given ratio to the triangle. 165 Dt 64 If a triangle have a given obtuse angle, the area by which the square on the side subtending the obtuse angle is greater than [the sum oil the squares on the sides containing the given angle, [that area] will have a given ratio to...
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