Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 163
e ? lU SELF-POLAR TRIANGLE Ex. 573. The angle A of a triangle ABC Is obtuse; AD, BE, CF are thealtitudes; H the orthocentre. The polar circle cuts AC in P and Q. Showthat EP2= EA . EC, and that H, F, P, D, B, Q are coneyclio. Ex. 574. If circles are described in the sides of a triangle as… … fig. 87. We will prove that the side TU of the triangle TUZ is thepolar of the vertex Z. By Theorem 58 T {Z U, SQ} is a harmonic pencil. .. the pencil is cut by SQ in the harmonic range {ZX, SQ}. .. X is on the polar of Z. Th. 31. Again, T{ZU, SQ} is cut by PR in the harmonic range{ZY, PR}. .. Y is…
Geometry, Modern
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
