Hey i have this problem:
Points D,E and F lie on the sides AB, BC and CA, respectively of triangle ABC.
Prove that the circumcircles of triangles ADF, BED and CFE meet in a common point.
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Let M be the point of intersection of the circumcircles of the triangles BDE and EFC. Then,
That means M is on the circumcircle of the triangle ADF.
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