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Trisected Perimeter Point

A triangle center which has a Triangle Center Function


where $v$ is the unique Real Root of
$ -(b^2c+c^2a+a^2b+5bc^2+5ca^2+5ab^2+9abc)=0.$


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

© 1996-9 Eric W. Weisstein