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Schoute Center

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SchouteCenter

The Schoute center is the inverse of the symmedian point in the circumcircle. It has triangle center function

alpha_(187)=a(2a^2-b^2-c^2)

and corresponds to Kimberling center X_(187).

See also

Circumcircle, Inverse, Symmedian Point

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References

Kimberling, C. "Encyclopedia of Triangle Centers: X(187)=Inverse-in-Circumcircle of X(6) (Schoute Center)." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X187.

Referenced on Wolfram|Alpha

Schoute Center

Cite this as:

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

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