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X(4), X(7), X(13), X(14), X(80), X(671), X(1300) vertices of the orthic triangle infinite points of the Thomson cubic K002 extraversions of X(7), X(80) 

Let P be a point with cevian triangle PaPbPc. The perpendicular bisectors La, Lb, Lc of PPa, PPb, PPc bound a triangle perspective with ABC if and only if P lies on the Yiu quintic Q006 (in which case La, Lb, Lc concur) or on the Yiu septic Q096 (ADGEOM #123). K096 is a bicircular septic having three real asymptotes parallel to those of K002. 
