| Robert Simson - 1806 - 518 sider
...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...triangle between the perpendicular and the obtuse angle.** Let ABC be an obtuse angkd triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
| John Playfair - 1806 - 311 sider
...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 contained...perpendicular falls, and the straight line intercepted** between the perpendicular and the obtuse angle. a 12. 1. b4.! c 47. 1. Let ABC b( an obtuse angled... | |
| Charles Hutton - 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 - 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 - 1813
...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...triangle between the perpendicular and the obtuse angle.** Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is... | |
| Euclides - 1814
...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...produced, the perpendicular falls, and the straight line** intercopted without the triangle between the perpendicular and the obtuse angle. Because the straight... | |
| Euclides - 1816 - 528 sider
...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...triangle between the perpendicular and the obtuse angle.** : ABC be an obtuse angled triangle, having the obtuse angle ACS, and from the .point A. let AD be drawn"... | |
| John Playfair - 1819 - 317 sider
...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...perpendicular falls, and the straight line intercepted** between the perpendicular and the obtuse angle, Let ABC be an obtuse angled triangle, having the obtuse... | |
| John Mason Good - 1819
...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 contained** br the side upon which, when produced, the perpendicular falls, and the straight line intercepted without... | |
| Charles Hutton - 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... | |
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