fixed point, related to circumcircles and orthocenter
Source: 2012 Oral Moscow Geometry Olympiad grades 8-9 p5
September 8, 2019
geometrycircumcircleorthocenterfixedFixed point
Problem Statement
Given a circle and a chord , different from the diameter. Point moves along the large arc . The circle passing through passing through points and point of intersection of altitudes of of the triangle , re-intersects the line at point . Prove that line passes through a fixed point independent of the position of point .