 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 described about the...  A Supplement to the Elements of Euclid - Page 366by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Robert Potts - 1865 - 528 pages
...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 pages
...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... | |
 | John Playfair - Geometry - 1855 - 350 pages
...EHF ; PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cats the base; the rectangle contained by the sides of...square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected by the straight line AD ; the rectangle BA.AC... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 pages
...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 - Geometry - 1871 - 302 pages
...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 pages
...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 - Geometry - 1872 - 376 pages
...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 pages
...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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