Consider the Excircles , , and of a Triangle, and the Circle
internally Tangent to all three. Denote the contact point of and by , etc. Then the
Lines , , and Concur in this point. It has Triangle Center
Function

**References**

Kimberling, C. ``Apollonius Point.'' http://cedar.evansville.edu/~ck6/tcenters/recent/apollon.html.

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' *Math. Mag.* **67**, 163-187, 1994.

Kimberling, C.; Iwata, S.; and Hidetosi, F. ``Problem 1091 and Solution.'' *Crux Math.* **13**, 128-129 and 217-218, 1987.

© 1996-9

1999-05-25