 | 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
...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 to...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
...BD.AC. (PA) Therefore, the rectangle contained &c. QED PEOP. I. THEOREM. If from the vertical 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 by the perpendicular and the diameter... | |
 | 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
...bearing to the whole 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...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 - 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... | |
 | 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.... | |
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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. 
