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" ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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Manual

1903
...of the squares on the sides forming the obtuse angle by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and...triangle, between the perpendicular and the obtuse angle. AD, BE, and CF are perpendiculars from the vertices of a triangle ABC upon the opposite sides. Show...
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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 the square on the side opposite 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 of those sides, and the projection of the other side upon it. The Enunciation of Prop. 12 thus...
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Calendar

University of Sydney - 1906
...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 of the sides containing the obtuse angle and the projection of the other upon it. The sides...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - Accounting - 1907 - 110 pages
...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 of those sides and the projection of the other side upon it. Q. 8. — Prove that the opposite...
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Introduction and books 1,2

Euclid - Mathematics, Greek - 1908
...obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the squares on the sides containing 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 New Teaching

John Adams - Education - 1918 - 428 pages
...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...triangle, between the perpendicular and the obtuse angle ; but he did not know this fact in the portable form az = bz + cz — 2 be cos A, and failing this,...
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The Irish Law Times and Solicitors' Journal, Volume 38

Law - 1904
...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
...obtuse-angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing 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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Euclid's Elements in Greek: Vol. I:

Richard Fitzpatrick - Mathematics - 2005 - 296 pages
...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 one of the sides around the obtuse angle, to which a perpendicular (straight-line) falls, and the (straight-line)...
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The Surveyor, Volumes 21-22

Surveying - 1908
...of the squares on the sides forming the obtuse angle by twice the rectangle contained by the side on which when produced the perpendicular falls and the...triangle between the perpendicular and the obtuse angle. 5. AB is the diameter of a circle. Any chord AP is produced to meet the tangent at В in Q ; show that...
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