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Regular Triangle Center

A Triangle Center is regular Iff there is a Triangle Center Function which is a Polynomial in $\Delta$, $a$, $b$, and $c$ (where $\Delta$ is the Area of the Triangle) such that the Trilinear Coordinates of the center are


The Isogonal Conjugate of a regular center is a regular center. Furthermore, given two regular centers, any two of their Harmonic Conjugate Points are also regular centers.

See also Isogonal Conjugate, Triangle Center, Triangle Center Function

© 1996-9 Eric W. Weisstein