 If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the...  A Supplement to the Elements of Euclid - Page 366by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...square on AQ. THEOREM (g). If from the vertex of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle about the triangle. Let ABC be the given A, ABRC the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...given ratio. ' 11. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Prove that the ratio... | |
 | Euclides - 1874 - 342 pages
...PROPOSITION 0. — Theorem. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | University of Madras - 1876 - 580 pages
...and the radius. VI. If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square on the straight line which bisects the angle. FRIDAY, 24TH DEC., 2 TO 5 PM ARITHMETIC. EP METCALFE,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...triangle be bisected by a straight line, which likewise cuts the base ; the rectangle, contained by th# sides of the triangle, is equal to the rectangle,...the segments of the base, together with the square on the line bisecting the angle. Let L BAC of the A ABC be bisected by the st. line AD. Then rect.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Richard Wormell - 1876 - 268 pages
...angle. . . . . . . 240 C. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. . . . . . . . . . .... | |
 | Samuel H. Winter - 1877 - 452 pages
...co-efficients of the even terms. 11. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle circumscribing the triangle. Having given n points... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...external segments. PROPOSITION XXX. THEOREM. . If an angle of a triangle be bisected by a line lehich cuts the base, the rectangle contained by the sides of the triangle is equivalent to the rectangle contained by the segments of the base, together with the square of the... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...quadrilateral inscribed in a circle intersect at right angles. 101. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the segments of the third side made by a line bisecting the opposite angle, plus the square of the bisecting line. 102.... | |
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