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The Kosnita triangle is formed by the circumcenters Oa, Ob, Oc of the three triangles OBC, OCA, OAB. It is homothetic to several triangles namely the orthic, tangential, extangents triangles for example. Now, let P be a point in the plane of the reference triangle ABC and denote by
We seek the locus of P such that the Kosnita triangle is perspective, orthologic, parallelogic to one of these triangles. The following table gives these loci. L denotes the line at infinity, C denotes the circumcircle. Obviously, concerning orthologic and parallelogic triangles, the Kosnita triangle can be replaced by any homothetic triangle. 



(*) in both cases, the locus of the perspector is K388. 
