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... The Elements of Euclid - Página 143por Euclid - 1838 - 416 páginasVista completa - Acerca de este libro
| John Playfair - 1844 - 338 páginas
...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...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, James Thomson - 1845 - 382 páginas
...&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 páginas
...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 and the diameter of the circle described about the triangle.... | |
| Euclid - 1845 - 218 páginas
...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 - 1846 - 292 páginas
...Wherefore, If 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...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... | |
| Euclid, John Playfair - 1846 - 334 páginas
...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 páginas
...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 páginas
...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... | |
| Great Britain. Admiralty - 1846 - 128 páginas
...Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts **the base; the rect-angle contained by the sides of the triangle is** eyual to the rectangle contained by the seyments of the base, together with, flu Let ABC be a bisect... | |
| Dennis M'Curdy - 1846 - 168 páginas
...(d)p. 16, 6; (c)p. 3, 2; (/) p. 35, 3. C Th. If from any angle of a triangle a 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.... | |
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