 | Robert Simson - 1762 - 488 pagina’s
...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 pagina’s
...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 pagina’s
...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... | |
 | Robert Simson - 1806 - 546 pagina’s
...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... | |
 | John Playfair - 1806 - 320 pagina’s
...-&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... | |
 | Euclid - 1810 - 554 pagina’s
...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 pagina’s
...sectors. 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. Prop.... | |
 | Euclides - 1816 - 588 pagina’s
...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 pagina’s
...X AC ~~ " ~^ AD*. PROP. LVI. 65. THEOREM. 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 A , and AD the j_ from the L BAC to the base BC; then is BA X AC equal to the rectangle contained by AD, and the diameter... | |
 | John Playfair - 1819 - 350 pagina’s
...Wherefore, if an anele,&c. Q, E. U 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 base BC ; the rectangle BA.AC is equal to... | |
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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... 
