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The intersection of the Parry Circle and the Circumcircle of a Triangle.  The Trilinear
Coordinates of the Parry point are
See also Parry Circle
References
Kimberling, C.  ``Parry Point.''
http://cedar.evansville.edu/~ck6/tcenters/recent/parry.html.
 
Kimberling, C.  ``Triangle Centers and Central Triangles.''  Congr. Numer. 129, 1-295, 1998.