| Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...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... | |
| Euclid - 1781 - 520 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 - 400 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, Robert Simson - Trigonometry - 1799 - 351 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
...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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 - Trigonometry - 1806 - 311 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... | |
| Euclid - Geometry - 1810 - 518 pages
...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, Olinthus Gilbert Gregory - 1813
...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... | |
| John Playfair - Trigonometry - 1819 - 333 pages
...BA.AC = BD.DC + DA2. 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...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... | |
| |