X(1), X(25), X(69)
P (pivot), P* (its isogonal conjugate)
The OXI is an isogonal pK with pivot P = X(14826) = X(2)X(98)/\X(25)X(69), (Jean-Pierre 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.