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Gauss-Bodenmiller Theorem


The circles on the polygon diagonals of a complete quadrilateral as diameters are coaxal. Furthermore, the orthocenters of the four triangles of a complete quadrilateral are collinear on the radical line of the coaxal circles.


See also

Coaxal Circles, Collinear, Complete Quadrilateral, Orthocenter, Polygon Diagonal, Radical Line

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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.

Referenced on Wolfram|Alpha

Gauss-Bodenmiller Theorem

Cite this as:

Weisstein, Eric W. "Gauss-Bodenmiller Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Gauss-BodenmillerTheorem.html

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