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Kosnita Theorem


KosnitaTheorem

The lines joining the vertices A, B, and C of a given triangle DeltaABC with the circumcenters of the triangles DeltaBCO, DeltaCAO, and DeltaABO (where O is the circumcenter of DeltaABC), respectively, are concurrent. Their point of concurrence is known as the Kosnita point.


See also

Kosnita Point, Triangulation Point

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References

de Villiers, M. "A Dual to Kosnita's Theorem." Math. and Informatics Quart. 6, 169-171, 1996. http://mzone.mweb.co.za/residents/profmd/kosnita.htm.Rigby, J. "Brief Notes on Some Forgotten Geometrical Theorems." Math. and Informatics Quart. 7, 156-158, 1997.

Referenced on Wolfram|Alpha

Kosnita Theorem

Cite this as:

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

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