| Euclides - 1841 - 351 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 - 317 sider
...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...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
...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 the perpendicular and the diameter of the circle described... | |
| John Playfair - 1844 - 317 sider
...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...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... | |
| Euclid, James Thomson - 1845 - 352 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 - 199 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... | |
| Euclides - 1845
...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 and the diameter of the circle described about the triangle.... | |
| Euclides - 1846
...the vertical angle Sfc. QED PROP. C. THEOR. If from any angle of a triangle a straight line be drawn **perpendicular to the base, the rectangle contained...described about the triangle. Let ABC be a triangle, and** let AD be the perpendicular from the angle A to the base BC : the rectangle BA, AC shall be equal to... | |
| Great Britain. Admiralty - 1846
...Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which 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 bisecting line. Let ABC be a ^\, and the... | |
| Euclid, John Playfair - 1846 - 317 sider
...EHF. 149 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... | |
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