 | John Playfair - 1842 - 332 pagina’s
...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...circle described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the bake BC ; the rectangle BA.AC is equal to... | |
 | Euclides - 1842 - 316 pagina’s
...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 - 338 pagina’s
...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 - 1845 - 218 pagina’s
...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... | |
 | Euclid, James Thomson - 1845 - 382 pagina’s
...&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... | |
 | Euclides - 1845 - 546 pagina’s
...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 - 292 pagina’s
...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...circle 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... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...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... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...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... | |
 | Dennis M'Curdy - 1846 - 166 pagina’s
...perpendicular be drawn to the base ; the rectangle contained by the sides of the triangle equals that contained by the perpendicular and the diameter of the circle described about the triangle. Given ABC a triangle, AD a perpendicular from the vertex A to the base, also AE the diameter of the... | |
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Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical 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... 
