 | Samuel H. Winter - 1864 - 348 sider
...base or the base produced, the difference between the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 12. A pyramid is cut by a plane parallel to the base; show that the section is a figure which is similar... | |
 | Robert Potts - 1865 - 528 sider
...PROPOS1T1ON C. THEOREM. If from any angle of a triangle, a straight line te drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Euclides - 1865 - 402 sider
...THEOREM. 7y an angle of a triangle be bisected by a straight tine which lihewise cuts the base ; then the rectangle contained by the sides of the triangle is equal to ihc rectangle contained by the segments of the base, together with the square of the straight line... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...PROPOSITION C. THEOREM. If from the vertical angle of a triangle a straight line lie drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is- equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...PROPOSITION B. THEOREM. l/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 (he rectangle contained by the segments of the base, together with the square on the straight line... | |
 | Robert Potts - 1868 - 434 sider
...PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Elias Loomis - 1871 - 302 sider
...by a line which cuts t/ie bast., 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 bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the... | |
 | Euclides - 1871 - 136 sider
...joining the middle points of the diagonals. 7. If the square on one perpendicular from the vertex of a triangle is equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...ti. PROPOSITION C. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle, contained by the sides of...triangle, is equal to the rectangle, contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a, A , and... | |
 | University of Madras - 1873 - 436 sider
...which meets the base, the rectangle under the two sides of the triangle is equal to the rectangle under the segments of the base together with the square of the straight line which bisects the vertical angle. XII. If O be the centre of a circle, PQR a tangent to it at F, and... | |
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If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle... 
