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... The Elements of Euclid - Side 145av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| Euclid - 1781 - 520 sider
...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 - 1795 - 400 sider
...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 - 1799 - 351 sider
...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
...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 - 311 sider
...-&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
...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 - 528 sider
...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 - 1819 - 333 sider
...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...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 about the... | |
| John Mason Good - 1819
...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...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 - 1819 - 410 sider
...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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