| Dennis M'Curdy - 1846 - 138 sider
...perpendicular be drawn to the base ; the rectangle contained by the sides of the triangle equals that **contained by the perpendicular and the diameter of the circle described about the triangle.** Given ABC a triangle, AD a perpendicular from the vertex A to the base, also AE the diameter of the... | |
| Dennis M'Curdy - 1846 - 138 sider
...(d)p. 16, 6; (c)p. 3, 2; (/) p. 35, 3. C Th. If from any angle of a triangle a perpendicular be drawn **to the base; the rectangle contained by the sides of the triangle** equals that contained by the perpendicular and the diameter of the circle described about the triangle.... | |
| Great Britain. Admiralty - 1846
...Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts **the base; the rect-angle contained by the sides of the triangle is** eyual to the rectangle contained by the seyments of the base, together with, flu Let ABC be a bisect... | |
| Euclid, Robert Potts - 1847 - 478 sider
...inscribed circle, we may ghew that the rectangle contained by the sum of the perpendiculars and the sum of **the sides of the triangle, is equal to the rectangle contained by** the sum of the sides, and the sum of the radii of the inscribed and circumscribed circles. 20. Let... | |
| Euclides - 1848
...sectors. PROP. 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 equal to the rectangle contained by** the segments of the base, together with the square of the straight line, which bisects the angle. PROP.... | |
| Euclides - 1853 - 147 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 equal to the rectangle contained by** the segments of the base, together with the square of the straight line bisecting the angle. LET abc... | |
| Royal Military Academy, Woolwich - 1853
...PROPOSITION B. THEOR. 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** loathe rectangle contained by the segments of the base, together with the square of the straight line... | |
| Robert Potts - 1855
...equal to the three sides of the triangle. 6. If from the angle of a triangle a straight line be drawn **perpendicular to the base, the rectangle contained...contained by the perpendicular and the diameter of the** circumscribing circle. 7. Draw a straight line perpendicular to a given plane from a given point above... | |
| John Playfair - 1855 - 318 sider
...+DA2. PROP. C. THEOR. If from any anglt of a triangle a straight line be drawn perpendicular to tht **base; the rectangle contained by the sides of the...contained by the perpendicular, and the diameter of** thc circle described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle... | |
| Great Britain. Committee on Education - 1855
...extreme and mean ratio. 3. If an angle of a triangle he 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. Section... | |
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