Another construction of symedian using only ruler
Source: Oral Moscow Geometry Olympiad 2024, 10-11.4
September 3, 2024
geometry
Problem Statement
Straight lines are drawn containing the sides of an unequal triangle , its incircle circle and a its circumcircle, the center of which is not marked. Using only a ruler (without divisions), construct the symedian of the triangle (a straight line symmetrical to the median relative to the corresponding bisector), drawing no more than six lines.