Let P be a point in the line joining
the circumcenter O I and the cevian quotient N/O between the ninecenter
N and O. Let Pa, Pb, Pc be the reflections of P on the sides. The radical
center of the circle centered at A and going through Pa and its analogues
is a point X in the Euler line (fig. 2). When P is the point O, X is its
reflection on the orthocenter H (fig. 1)
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