[Hatzipolakis - Kirikami]:
Let ABC be a triangle and P,P* two isogonal conjugate points.
Denote: H1,H2,H3 = the orthocenters of PBC, PCA, PAB, resp. and
Ha,Hb,Hc = the orthocenters of P*BC, P*CA, P*AB, resp.
The circumcircles of:
(1) H1HbHc, H2HcHa, H3HaHb
(2) HaH2H3, HbH3H1, HcH1H2
are concurrent.
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Coordinates of P1, P2 for P = G, P* = K in atttach files
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