| Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...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 pages
...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 - Geometry - 1853 - 176 pages
...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 - Mathematics - 1853 - 400 pages
...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 pages
...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 - Geometry - 1855 - 334 pages
...+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 - School buildings - 1855 - 976 pages
...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 pages
...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 pages
...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 pages
...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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