| Samuel H. Winter - 1877 - 452 pages
...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 - 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... | |
| Āryabhaṭa - 1878 - 100 pages
...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 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... | |
| Euclides, James Hamblin Smith - 1879 - 376 pages
...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 - Geometry - 1879 - 282 pages
...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 pages
...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 pages
...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 - Euclid's Elements - 1880 - 426 pages
...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 - Euclid's Elements - 1881 - 236 pages
...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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