 | Samuel H. Winter - 1877 - 452 sider
...sum of the 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 perpendicular and the diameter of the circle circumscribing the triangle. Having given n points on the circumference of a circle, show that 3.4.5... | |
 | Elias Loomis - 1877 - 458 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 - 100 sider
...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 - 1878 - 398 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 - 376 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 - 282 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 - 190 sider
...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 contained...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... | |
 | Sandhurst roy. military coll - 1880 - 68 sider
...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.... | |
 | Isaac Todhunter - 1880 - 426 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... | |
 | Euclides - 1881 - 236 sider
...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... | |
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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... 
