Set with circumcenters of each triangle in set
Source: Sharygin Geometry Olympiad Correspondence Round 2017 P-11 (Grade-8-11)
May 1, 2017
geometrycircumcircle
Problem Statement
A finite number of points is marked on the plane. Each three of them are not collinear. A circle is circumscribed around each triangle with marked vertices. Is it possible that all centers of these circles are also marked?
Proposed by A.Tolesnikov