 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
 | Elias Loomis - 1877 - 443 sider
...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... | |
 | Āryabhaṭa - 1878
...angle of a triangle a' straight line be drawn perpendicular to the base, the rectangle contained by tie sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. In the above figure, let ABC be a triangle, and let BE be the perpendicular from the angle B to the... | |
 | Euclides, James Hamblin Smith - 1878 - 349 sider
...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... | |
 | Euclides, James Hamblin Smith - 1879 - 349 sider
...sq. on AD. III. 35. PROPOSITION C. THEOREM. If from any angle of a triangle a straight line be dravm perpendicular to the base, the rectangle, contained...circle described about the triangle. Let ABC be a A, and AD the _L from A to BC. Describe the © ABC about the A ABC, III. B. draw the diameter AE, and... | |
 | Isaac Sharpless - 1879 - 266 sider
...Proposition 28. Tlieorem.—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 line bisecting the angle. Let ABC be a triangle,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880
...triangle the ratio of the base to a side. 10. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle...diameter of the circle described about the triangle. 11. Prove that the circle described through the middle points of the sides of a triangle passes also... | |
 | Isaac Todhunter - 1880 - 400 sider
...X. 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 segments of the base, together with the square on the straight lino which bisects the angle. Let... | |
 | Sandhurst roy. military coll - 1880
...another as their bases. 7. 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 which bisects the angle. 8.... | |
 | Euclides - 1881
...angle, &c. QED If from any angle of a triangle a straight line he drawn perpendicular to the bate ; the rectangle contained by the sides of the triangle...equal to the rectangle contained by the perpendicular end the diameter of the circli described about the triangle. • Let ABC be a triangle, and AD the... | |
 | Thomas Grenfell Vyvyan - 1882
...point of BC, shew that 62 =cs+ -JCHAPTER XII. CIRCLES RELATED TO THE TRIANGLE. 46. To find the radius of the circle described about the triangle. Let ABC be a triangle: describe a circle about it, and draw BD perpendicular to BC to meet the circle in D : join CD. (See... | |
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