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Circumcircle Mid-Arc Triangle


CircumcircleMid-ArcTriangle

The circumcircle mid-arc triangle is the triangle whose vertices are given by the circumcircle mid-arc points of a given reference triangle.

Its trilinear vertex matrix is

 [-a b+c b+c; a+c -b a+c; a+b a+b -c].

The following table gives the centers of the circumcircle mid-arc triangle in terms of the centers of the reference triangle for Kimberling centers X_n with n<=100.


See also

Fuhrmann Circle, Fuhrmann Triangle, Mid-Arc Points, Mid-Arc Triangle, Tangential Mid-Arc Triangle

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Cite this as:

Weisstein, Eric W. "Circumcircle Mid-Arc Triangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CircumcircleMid-ArcTriangle.html

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