Online Geometry Education

Kosnita's Theorem: Circumcenters, Concurrent lines

The figure shows a triangle ABC with the circumcenter O. If OA, OB, and OC, are the circumcenters of triangles BOC, AOC, and AOB, respectively, prove that lines AOA, BOB, and COC are concurrent. Their point of concurrence K is known as the Kosnita point.
 

Kosnita Center
 

  

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