Kosnita's theorem

In Euclidean geometry, Kosnita's theorem is a property of certain circles associated with an arbitrary triangle.

The theorem claims that the three straight lines

[1] This result was established by the Romanian mathematician Cezar Coşniţă (1910-1962).

[2] Their point of concurrence is known as the triangle's Kosnita point (named by Rigby in 1997).

It is the isogonal conjugate of the nine-point center.

in Clark Kimberling's list.

[5] This theorem is a special case of Dao's theorem on six circumcenters associated with a cyclic hexagon in.

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