## Triangle Center Function

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.

See also Major Triangle Center, Regular Triangle Center, Triangle Center, Trilinear Coordinates

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.