The lines joining the vertices ,
, and
of a given triangle
with the circumcenters
of the triangles
,
, and
(where
is the circumcenter of
), respectively, are concurrent. Their point
of concurrence is known as the Kosnita point.
Kosnita Theorem
See also
Kosnita Point, Triangulation PointExplore with Wolfram|Alpha
References
de Villiers, M. "A Dual to Kosnita's Theorem." Math. and Informatics Quart. 6, 169-171, 1996. https://dynamicmathematicslearning.com/Kosnita.pdf.Rigby, J. "Brief Notes on Some Forgotten Geometrical Theorems." Math. and Informatics Quart. 7, 156-158, 1997.Referenced on Wolfram|Alpha
Kosnita TheoremCite this as:
Weisstein, Eric W. "Kosnita Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/KosnitaTheorem.html