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The Circumcircle of the Fuhrmann Triangle.
See also Fuhrmann Triangle, Mid-Arc Points
References
Fuhrmann, W.  Synthetische Beweise Planimetrischer Sätze.  Berlin, p. 107, 1890.
 
Johnson, R. A.  Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle.  Boston, MA:
  Houghton Mifflin, pp. 228-229, 1929.