 | Euclid, Robert Potts - 1847 - 118 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 - 52 sider
...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 - 176 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 - 400 sider
...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 - 1050 sider
...are 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 - 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.... | |
 | 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... | |
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Wherefore, in equal circles &c. QED PROPOSITION 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... 
