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see below 

X(1), X(13), X(14), X(15), X(16) excenters, feet of bisectors Ixanticevian points, see Table 23 isogonal conjugates of the Ixanticevian points, see Table 23 common points of (O) and the complement of the Jerabek hyperbola 

Q075 is the locus of point P such that the anticevian triangle of P is perspective to the reflection triangle of the isogonal conjugate P* of P. See Table 6. Q075 is a circular isogonal sextic with three nodes at A, B, C. The nodal tangents are the bisectors of ABC. The equation of Q075 can be written under the form : 4xyz ∑S_{B} S_{C} x (c^{2}y^{2} b^{2}z^{2}) + ∏(c^{2}y^{2} b^{2}z^{2}) = 0, where ∑S_{B} S_{C} x (c^{2}y^{2} b^{2}z^{2}) = 0 is the equation of the Orthocubic K006 and ∏(c^{2}y^{2} b^{2}z^{2}) = 0 is that of the six bisectors of ABC. It follows that the tangents at the in/excenters to Q075 pass through the orthocenter H of ABC. 

Q075 and the Orthocubic K006. 

Q075 is very similar to the sextic Q039 since the Orthocubic is replaced by the Darboux cubic K004. These two sextics generate a pencil which also contains Q076, the analogous sextic associated with the Napoleon cubic K005. 
