A Homogeneous Function , i.e., a function such that

which gives the Trilinear Coordinates of a Triangle Center as

The variables may correspond to angles (, , ) or side lengths (, , ), since these can be interconverted using the Law of Cosines.

**References**

Kimberling, C. ``Triangle Centers as Functions.'' *Rocky Mtn. J. Math.* **23**, 1269-1286, 1993.

Kimberling, C. ``Triangle Centers.'' http://cedar.evansville.edu/~ck6/tcenters/.

Kimberling, C. ``Triangle Centers and Central Triangles.'' *Congr. Numer.* **129**, 1-295, 1998.

© 1996-9

1999-05-26