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X(2), X(3), X(4), X(69), X(254), X(264), X(1993)

isotomic conjugates of X(254), X(1993)

vertices of antimedial triangle

vertices of X(264) cevian triangle

K045 is the isotomic pK with pivot X(264) = isotomic conjugate of X(3).

Locus properties :

1. locus of perspectors as seen in Euler central cubic.
2. locus of point P such that the cevian triangle of P and the orthic triangle are orthologic (Hyacinthos #8243-48).
3. locus of point P such that the cevian triangle of P and the tangential triangle are orthologic.
4. locus of point P such that P, GSC(P), X(1993) are collinear. (X(1993) is the orthocorrespondent of X(3)). GSC is defined here.
5. Let A'B'C' be the cevian triangle of P. Ab, Ac are the pedals of A' on AC, AB and Ha is the orthocenter of AAbAc. Hb, Hc are defined similarly. Then the locus of P for which ABC and HaHbHc are orthologic is K045 (Paul Yiu, Hyacinthos #9863).

The isogonal transform of K045 is K176. K045 is also related to Q033.