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X(1), X(25), X(69) P (pivot), P* (its isogonal conjugate) excenters 

The OXI is an isogonal pK with pivot P = X(14826) = X(2)X(98)/\X(25)X(69), (JeanPierre Ehrmann Hyacinthos #8452). P* is unlisted in ETC with SEARCH = –2.69701378845516. K173 is described by Antreas Hatzipolakis as follows : Let ABC be a triangle, P a point (not on the sidelines of ABC) and PaPbPc the pedal triangle of P. The parallel La from P to BC intersects AB, AC at Lab, Lac, resp. The locus of P such that ABC, A'B'C' are perspective is the OXI cubic in the following configurations :
Note: OXI (in Greek) = NO. The historical reply of Greece to fascist Italy on 28 October 1940. 
