 | Euclides - Geometry - 1841 - 378 pages
...&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 - Euclid's Elements - 1842 - 332 pages
...(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...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 pages
...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...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 - Euclid's Elements - 1844 - 338 pages
...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...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 pages
...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...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 - Geometry - 1845 - 218 pages
...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 - Geometry - 1845 - 382 pages
...&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 - 1846 - 292 pages
...the square of AD. Wherefore, If the vertical angle Sfc. QED PROP. C. THEOR. If from any angle of a triangle a straight line be drawn perpendicular to...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 - Geometry - 1846 - 128 pages
...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 - Geometry - 1846 - 166 pages
...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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... 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 on the straight line which bisects the angle. 
