If T (e.g. CDG) is one of the 4 triangles, build by the two intersecting lines, then there is another triangle T* (LKM), with vertices at the centers of the circumcircles of the three other triangles. Triangles T and T* are similar, with respect to a (spiral) similarity with center E. The proof results from the last line of the arguments exposed in [ Miquel_Point.html ].

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