| 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
...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 the base,...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 - 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... | |
| 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.... | |
| 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... | |
| Thomas Grenfell Vyvyan - 1882 - 150 sider
...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... | |
| Samuel Constable - 1882 - 222 sider
...last.] 13. Prove that the rectangle contained by a side of this square and a line equal to the sum of **the sides of the triangle is equal to the rectangle contained by** the sides. 14. Inscribe a square in any triangle; and prove that the rectangle contained by a side... | |
| Euclid, Isaac Todhunter - 1883 - 428 sider
...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 segments of the base, together with the square on the straight line which bisects the angle. Let... | |
| Euclides - 1884 - 434 sider
...to that included by them. If from the vertical angle of a triangle a perpendicu1ar be drawn to tJie **base, the rectangle contained by the sides of the...by the perpendicular and the diameter of the circle** circumscribed about the triangle. A Let ABC be a triangle, AD the perpendicular from A on the base... | |
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