| John Playfair - Euclid's Elements - 1806 - 311 pages
...AB.BH is equal to the square of AH. Which was to be done, Book II. PROP. XII. THEOR. IN obtuse angled **triangles if a perpendicular be drawn from either...produced, the square of the side subtending the obtuse** aigle is greater than the squares of the sides contain ng the obtuse angle, by twice the rectangle... | |
| Charles Hutton - Mathematics - 1811
...And AC + BC . AC — BC = AB.AD + BD in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, **the Square of the Side subtending the Obtuse Angle, is Greater than the** Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the... | |
| Charles Hutton - Mathematics - 1812
...And AC+BC . AC — BC =AB . AD + BD in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, **the Square of the Side subtending the Obtuse Angle, is Greater than the** Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be drawn from any **of the acute angles to the opposite side produced,...square of the side subtending the obtuse angle is** greatcf than the squares of the sides containing the obtuse angle, by twice the rectangle contained... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be drawn from any **of the acute angles to the opposite side produced, the square of the side subtending the obtuse** anule it greatt-i than the squares of the sides containing the obtuse angle, by twice the rectangle... | |
| Charles Hutton - Mathematics - 1822
...+ BC . AC — BC = AB . AB -f- BB in the 1st figure. THEOREM XXXVI. IN any Obtuse-angled Triangle, **the Square of the Side subtending the Obtuse Angle, is Greater than the** Sum of the Squares of the other two Sides, by Twice the Rectangle of the Base and the Distance of the... | |
| Euclides - 1826
...equal to the square of AH. Which was to be done. PROPOSITION XII. THEOREM. In obtuse angled triangles, **the square of the side subtending the obtuse angle is greater than the squares,** which are made by the sides containing the obtuse angle by twice the rectangle contained under one... | |
| John Playfair - Mathematics - 1829 - 186 pages
...in all respects. In any obtuse-angled triangle, if a perpendicular be drawn from either of the two **acute angles to the opposite side produced, the square...side subtending the obtuse angle is greater than the** sum of the squares of the sides containing it by twice the rectangle under the base and the distance... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...was to be done. B PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any **of the acute angles to the opposite side produced,...subtending the obtuse angle is greater than the squares of** I he sides containing the obtuse angle, by twice Ihe reel angle contained by the side upon which, when... | |
| Euclides - 1842
...square of AH. QEF PROP. XII. THEOR. IN obtuse-angled triangles, if a perpendicular be drawn from any **of the acute angles to the opposite side produced,...squares of the sides containing the obtuse angle, by** twiee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the... | |
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