 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...proportionally. THEOREM (/). 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 on the straight line which bisects the angle. Let... | |
 | Braithwaite Arnett - 1874 - 130 pages
...be equal. 11. 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 segments of the base, together with the square on the straight line which bisects the angle. ALGEBRA.... | |
 | Oxford univ, local exams - 1875 - 478 pages
...XI, &c. 7. If the v'ertieal 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 on the straight line which bisects the angle. 8.... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...AD. II. 3. =rect. BD, DC together with sq. on AD. III. 35. PROPOSITION C. THEOREM. If from, any angle of a triangle a straight line be drawn perpendicular...perpendicular and the diameter of the circle described about tke triangle. Let ABC be a A , and AD the x from A to BC. Describe the © ABC about the A ABC, III.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line~vihich 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 on the straight line which bisects the angle. Let... | |
 | Richard Wormell - 1876 - 268 pages
.... . . , . . . 240 Б. 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 on the straight line bisecting the angle. . . .... | |
 | University of Madras - 1876 - 580 pages
...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 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. FRIDAY,... | |
 | Samuel H. Winter - 1877 - 452 pages
...of the odd terms is equal to the sum of the co-efficients of the even terms. 11. If from any angle of a triangle a straight line be drawn perpendicular...by the perpendicular and the diameter of the circle circumscribing the triangle. Having given » points on the circumference of a circle, show that 3.4.5... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...external segments. PROPOSITION XXX. THEOREM. If an angle of a triangle be bisected by a line tohich 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... | |
 | Euclides - 1878 - 398 pages
...PROPOSITION B. THEOREM. 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 eqvjil to the rectangle, contained by the segments of the base, together with the square on the line... | |
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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. 
