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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

 f(a,b,c):f(b,c,a):f(c,a,b).

The isogonal conjugate of a regular center is a regular center. Furthermore, given two regular centers, any two of their harmonic conjugates are also regular centers.


See also

Isogonal Conjugate, Triangle Center, Triangle Center Function

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Cite this as:

Weisstein, Eric W. "Regular Triangle Center." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RegularTriangleCenter.html

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