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X(1), X(3)

excenters

6 feet of bisectors

6 intersections of the circumcircle and the bisectors

isogonal conjugates of the Ix-anticevian points, see Table 23

Q028 is the locus of point P such that the circumanticevian and antipedal triangles of P are perspective.

Q028 is a sextic with double points A, B, C. The tangents at A pass through O and the foot of the trilinear polar of O on BC. The tangents at the in/excenters pass through K.