The Schoute center is the inverse of the symmedian point in the circumcircle. It has triangle center function
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and corresponds to Kimberling center 
.
Schoute Center
See also
Circumcircle, Inverse, Symmedian PointExplore with Wolfram|Alpha
References
Kimberling, C. "Encyclopedia of Triangle Centers: X(187)=Inverse-in-Circumcircle of X(6) (Schoute Center)." https://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X187.Referenced on Wolfram|Alpha
Schoute CenterCite this as:
Weisstein, Eric W. "Schoute Center." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SchouteCenter.html