4 equal circles touch diagonals and internally circumcircle of ABCD
Source: 2009 Sharygin Geometry Olympiad Final Round problem 8 grade 9
July 26, 2018
geometrycircumcirclecyclic quadrilateralcircles
Problem Statement
Given cyclic quadrilateral . Four circles each touching its diagonals and the circumcircle internally are equal. Is a square?(C.Pohoata, A.Zaslavsky)