| 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... | |
| Samuel Constable - 1882 - 203 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... | |
| 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... | |
| Euclid, Isaac Todhunter - 1883 - 400 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
...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... | |
| Woolwich roy. military acad - 1884
...parallel. 11. 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. II.... | |
| 1885
...divisions of this paper.) I. — 1. 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.** 2. Prove that the tangent to a parabola at any point is the bisector of the angle which the focal distance... | |
| John James Milne - 1885
...cos (A - £)}. 5. If the vertical 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** two lines equally inclined to the bisector, one terminated by the base and the other by the rircum-uircle.... | |
| Euclides - 1885
...extended to each of the escribed circles of the triangle ACB. 5. The rectangle contained by two sides of a **triangle is equal to the rectangle contained by the perpendicular and the diameter of the** circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular... | |
| Euclid, John Casey - 1885 - 312 sider
...extended to each of the escribed circles of the triangle ACB. 6. The rectangle contained by two sides of a **triangle is equal to the rectangle contained by the perpendicular and the diameter of the** circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular... | |
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