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X(1), X(2574), X(2575) excenters X(2574), X(2575) : points at infinity of the Jerabek hyperbola vertices of the circumnormal triangle (on the McCay cubic) foci of the inconic with center O, perspector X(69) isogonal conjugates of the Ixanticevian points, see Table 23 

Let P be a point and let N', N" be the ninepoint centers of the pedal and antipedal triangles of P respectively. P, N', N" are collinear if and only if P lies on the octic Q020 or on the line at infinity. Q020 is a tricircular octic with two real asymptotes parallel to those of the Jerabek hyperbola. The tangents at the in/excenters and at the vertices of the circumnormal triangle pass through O. The points A, B, C and the circular points at infinity are triple points on the curve. 
