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Gauss-Bodenmiller TheoremThe Circles on the Diagonals of a Complete Quadrilateral asDiameters are Coaxal. Furthermore, the Orthocenters of thefour Triangles of a Complete Quadrilateral are Collinear on the Radical Axis of theCoaxal Circles. See also Coaxal Circles, Collinear, Complete Quadrilateral, Diagonal (Polygon),Orthocenter, Radical Axis References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, p. 172, 1929.
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