 | Robert Simson - Trigonometry - 1762 - 488 pages
...triangle a ftraight line be drawn JL 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... | |
 | 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... | |
 | Robert Simson - Trigonometry - 1806 - 546 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. • £4... | |
 | Euclid - Geometry - 1810 - 554 pages
...with the square of AD. Wherefore, if an angle, &c. QED PROP. C. THEOR. s«e Note. IF from any angle of a triangle a straight line be drawn perpendicular...diameter of the circle described about the triangle. Describe a the circle ACB about the triangle, and draw its diameter AE, and join EC : because the right... | |
 | John Mason Good - 1813 - 714 pages
...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... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...+ AD* : But (E. 35. 3.) ~ED X DA = BDXDC; .-. BAXAC A~D\ PROP. LVI. 65. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular...circle 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... | |
 | John Mason Good - 1819 - 800 pages
...together with the sijuare of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a straight line be drawn perpendicular...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 - 486 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 ABC_be... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...together with the square of the straight line bisecting the angle. \ I A" I. TH. If from any angle of a triangle a straight line be drawn perpendicular...diameter of the circle described about the triangle. LVII. TH. The rectangle contained by the diagonals of a quadrilateral rectilineal figure, inscribed... | |
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... 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 on the straight line which bisects the angle. 
