point construction, intersections of cevians with circumcircle, equilateral
Source: 2005 Oral Moscow Geometry Olympiad grades 8-9 p5
October 16, 2020
geometrycircumcircleEquilateralconstruction
Problem Statement
The triangle is inscribed in the circle. Construct a point such that the points of intersection of lines and with this circle are the vertices of an equilateral triangle.(A. Zaslavsky)