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too complicated to be written here. Click on the link to download a text file. 

X(1), X(3) excenters 6 feet of bisectors 6 intersections of the circumcircle and the bisectors isogonal conjugates of the Ixanticevian 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. 
