 | Euclides - 1841 - 378 sider
...PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
 | Euclides - 1842 - 316 sider
...together with the square of AD. Wherefore, if an angle, &c. QED EUC. B. VI. OF GEOMETRY. PROP. C. THEOR. IF from any angle of a triangle a straight line be drawn perpendicular to the base : the rectangle contained by the sides of the triangle is equivalent to the rectangle contained by... | |
 | John Playfair - 1842 - 332 sider
...(16. 6.) AD.AE =ED.DA (3. 2.) + DA2. But ED. DA=BD.DC, therefore BA.AC = BD.DC +DA2. PROP. C. THEOR. If from any angle of a triangle a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular,... | |
 | John Playfair - 1844 - 338 sider
...ED.DA(3. 2.)+DA 2 . But ED. DA=BD.DC, therefore BA.AC = BD.DC +DA 2 . PROP. C. THEOR. If from any anglt of a triangle a straight line be drawn perpendicular to the base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular,... | |
 | Euclides - 1845 - 546 sider
...rectangle BD, DC, together with the square of AD. Wherefore., if an angle, &c. QED PROPOSITION C. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to Ike rectangle contained by the perpendicular... | |
 | Euclid, James Thomson - 1845 - 382 sider
...THEOB. — If an angle of a triangle be bisected by a straight line which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of tide straight line bisecting the angle. Let ABC... | |
 | Euclid - 1845 - 218 sider
...rectangle BD, DC, together with the square of AD. Wherefore, if an angle, &c. QED PROPOSITION C. THEOR. — If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular... | |
 | Alfred Wrigley - 1845 - 222 sider
...many right angles wanting eight as the polygon has sides. (Euclid, i. 32. Cor. 2. Cape, i. 26.) 29. If from any angle of a triangle, a straight line be drawn to the middle point of the opposite side, the sum of the squares of the sides containing this angle... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...8 and ED. DA = BD . DC ; .-. BA. AC = BD. DC + AD S , Wherefore, if an /_, &c. PROP. LXXIX. THEOR. If from any angle of a triangle a straight, line be drawn perpendicular to the base; the rectangle contained by the sides of the tri-angle is equal to the rectangle coutaiued {y^ t/te... | |
 | Euclid, John Playfair - 1846 - 334 sider
...PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
| |
If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. 
