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Sondat's Theorem


SondatsTheorem

The perspectrix X of a pair of paralogic triangles DeltaA_1A_2A_3 and DeltaB_1B_2B_3 bisects the line joining the two orthocenters H_A and H_B (Johnson 1929, p. 259).


See also

Orthocenter, Paralogic Triangles, Perspectrix

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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, 1929.Simon, M. Über die Entwicklung der Elementargeometrie im XIX. Jahrhundert. Leipzig: Teubner, 1906.

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Sondat's Theorem

Cite this as:

Weisstein, Eric W. "Sondat's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SondatsTheorem.html

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