r442

Let H be the orthocenter of ABC, A’, B’, C’ the feet of the altitudes, M a point. The conics MABA'B', MACA'C', MBCB'C', MHAB'C', MHBA'C' , MHCA'B' have two common points: M and the isogonal M’ of M with respect to the orthic triangle.

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