| 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... | |
| Euclid, 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 - 530 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 - 350 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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