| John Playfair - 1855 - 334 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 - 976 sider
...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... | |
| Euclides - 1855 - 270 sider
...geometers. PROP. B. THEOREM If any 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. Let... | |
| 1855 - 264 sider
...mean ratio. 3. If an angle of a triangle he bisected by a straight line which likewise cuts the hase, **the rectangle contained by the sides of the triangle is equal to the rectangle contained by** the segments of the ha;e, together with the square of the straight line which bisects the angle. SECT.... | |
| Robert Potts - 1855 - 1050 sider
...that the angle DCE equals half a right angle. ., ., t , £ . -, , 5. If from any angle of a triangle, **a straight line be drawn perpendicular to the base; the rectangle contained by the** side:-, of the triangle is equal to the rectangle contained by the perpendicular and the diameter of... | |
| Euclides - 1855 - 230 sider
...triangle is isosceles. The rectangle under the sides of the triangle is equal to the rectangle under **the perpendicular and the diameter of the circle described about the triangle.** The triangles on each side of it are si mil at to the whole triangle, and to one another. Eaon of the... | |
| Cambridge univ, exam. papers - 1856 - 252 sider
...be similar to one and equal to another given rectilineal figure. 6. If from any angle of a triangle **a straight line be drawn perpendicular to the base,...diameter of the circle described about the triangle.** The rectangle contained by the two sides can never be less than twice the triangle. EUCLID. BOOKS I.... | |
| 1856 - 376 sider
...to one another the ratio compounded of the ratios of their sides. 3. If from any angle of a triangle **a straight line be drawn perpendicular to the base,...the perpendicular, and the diameter of the circle** deseribed about the triangle. SECT. II. — I . If the line bisecting the vertical angle of a triangle... | |
| Elias Loomis - 1857 - 242 sider
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which 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... | |
| Elias Loomis - 1858 - 256 sider
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which 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... | |
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