| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...be done. 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...which, when produced, the perpendicular falls, and the** straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...Book II. PROP. XII. THEOR. 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** 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
...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 angle is** greatcf than the squares of the sides containing the obtuse angle, by twice the rectangle contained... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...done. D PROP. XII. THEOtt. IN obtuse angled triangles, if a perpendicular be drawn from any of the **acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the** straight line intercepted without the triangle between the perpendicular and the obtuse angle. : ABC... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...done. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn front any of i the **acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the** straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse angled... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...done. Proposition XII. Theorem. In obtuse angled triangles, if a perpendicular be drawn from any of the **acute angles to the opposite side produced, the square...which, when produced, the perpendicular falls, and the** straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let... | |
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