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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 of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 62
por John Playfair - 1819 - 333 páginas
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...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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Annual Report of the Commissioners ..., Volumen67

1901
...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. 4. Prove...
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...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 - 1907 - 110 páginas
...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 - 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 - 1918 - 428 páginas
...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...perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle ; but he did not know this fact...
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The Irish Law Times and Solicitors' Journal, Volumen38

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 - 2003 - 541 páginas
...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 - 2005 - 296 páginas
...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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