 | Euclid - 1781 - 552 pages
...triangle is equal to the redangle contained by the perpendicular and the diameter of the circle defer ibed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the bafe 13C ; the rectangle BA, AC is equal to the rectangle contained by AD and the diameter of the circle... | |
 | John Playfair - Euclid's Elements - 1795 - 462 pages
...equal to the reftangle contained by the perpendicular and the diameter of the circle defcribed ^boiit the triangle, Let ABC be a triangle, and AD the perpendicular from the angle A to the bafe BC ; the reftangle BA, AC is equal to the. reftaogle. contained by. AD and the diameter of the... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...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 - Trigonometry - 1804 - 528 pages
...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 - Mathematics - 1806 - 320 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 Mason Good - 1813 - 714 pages
...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 - 592 pages
...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... | |
 | John Playfair - Circle-squaring - 1819 - 348 pages
...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...AD the perpendicular from the angle A to the base BC ; the rectangle BA.AC is equal to the rectangle contained by AD and tke diameter of the circle described... | |
 | John Mason Good - 1819 - 800 pages
...straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a straight line be drawn perpendicular to the base; the rectangle contained...diameter of the circle described about the triangle. Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle,... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line, which also 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 ABCJ>ea... | |
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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... 
