The Fermat and Nagel Points

Please enable Java for an interactive construction (with Cinderella).

This applet illustrates results from The locations of triangle centres (C.J.Bradley and G.C.Smith); namely that the Incenter, Symmedian Point and 1st Fermat point are strictly contained within the disc on diameter GH; whilst the Nagel point lies strictly outside that region. The points A,B and C can be varied to illustrate this result.

Applet development in Cinderella