Let I, J, K, and L be the incenter and the three excenters of triangle ABC.

What is the center of gravity of these four points?

With the given that each point is to have equal mass (greater than zero), with my own calculations and observations I will agree with Charlie's post that, of the four points -- the incenter and the three excenters --  the "center of gravity" is at the triangle's circumcenter.

Posted by Dej Mar on 2008-02-08 08:34:51