| Euclides - 1838 - 264 sider
...QE o. PROP. B. THEOR. Jf 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 toith the square of the straight line which bisects the angle. Let... | |
| Robert Simson - 1838 - 434 sider
...&c. QED 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... | |
| William Desborough Cooley - 1840 - 106 sider
...; consequently, AD'AF = AF2+BF'FC, and since BA'AC =AD'AF, it follows, that BA'AC = AP + BF'FC, or **the rectangle contained by the sides of the triangle, is equal to the** square of the line bisecting the contained angle, together with the rectangle under the segments of... | |
| Euclides - 1841 - 378 sider
...&c. QED 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... | |
| John Playfair - 1842 - 332 sider
...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...triangle, and AD the perpendicular from the angle A to the** bake BC ; the rectangle BA.AC is equal to the rectangle contained by AD and the diameter of the circle... | |
| Euclides - 1842 - 316 sider
...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...rectangle contained by the sides of the triangle is** equivalent to the rectangle contained by the perpendicular and the diameter of the circle described... | |
| John Playfair - 1844 - 338 sider
.... 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;...diameter of the circle described about the triangle.** Describe (Prop 5. 4.) the circle ACB about the triangle, and draw its diameter AE, and join EC ; Because... | |
| Euclides - 1845 - 546 sider
...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...contained by the sides of the triangle is equal to** Ike rectangle contained by the perpendicular and the diameter of the circle described about the triangle.... | |
| Euclid, James Thomson - 1845 - 382 sider
...&c. PROP. B. 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
...PROPOSITION 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... | |
| |