 | Robert Simson - 1762 - 488 pàgines
...triangle a ftraight line be drawn -I perpendicular to the bafe; the rectangle contained by the fides of the triangle is equal to the rectangle contained...by the perpendicular and the diameter of the circle dcfcribed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the... | |
 | Alexander Ingram - 1799 - 374 pàgines
...triangle, a flraight line be drawn perpendicular to the bafe ; the rectangle contained by the fides of the triangle, is equal to the rectangle contained...by the perpendicular and the diameter of the circle defcribed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the... | |
 | Robert Simson - 1804 - 530 pàgines
...triangle a ftraight line be JL drawn perpendicular to the bafe; the rectangle contained by the fides of the triangle is equal to the rectangle contained...by the perpendicular and the diameter of the circle deicribed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the... | |
 | John Playfair - 1806 - 320 pàgines
...-&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... | |
 | Robert Simson - 1806 - 546 pàgines
...PROP. B. THEOR. See N. 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 - 1810 - 554 pàgines
...PROB. B. THEOR. s«eN«e. 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 reelangle contained by the segments of the base, together with the square of the straight line bisecting... | |
 | John Mason Good - 1813 - 714 pàgines
...the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight line be drawn perpendicular to the base; the rectangle contained by the sides of Ihe triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle... | |
 | Euclides - 1816 - 588 pàgines
...PRO*. Bl THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh 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... | |
 | Daniel Cresswell - 1819 - 486 pàgines
...35. 3.) ED X DA : = BD X DC ; .-. BA X AC ~~ " ~^ AD*. PROP. LVI. 65. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular...circle described about the triangle. Let ABC be a A , and AD the j_ from the L BAC to the base BC; then is BA X AC equal to the rectangle contained by... | |
 | John Mason Good - 1819 - 800 pàgines
...together with the sijuare of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a straight line be drawn perpendicular...diameter of the circle described about the triangle. Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle,... | |
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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. 
