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X(1), X(3), X(15), X(16), X(30), X(36), X(5000), X(5001)

Ia, Ib, Ic : excenters

extraversions of X(36)

foci of the Steiner inscribed ellipse

common points of the circumcircle and the Thomson cubic

Q037 is the isogonal transform of Q030. It is an inversible bicircular quintic with a real asymptote parallel to the Euler line.

The tangents at A, B, C, X(15), X(16) and the 3 common points of the circumcircle and the Thomson cubic concur at O.

The tangents at O, X(1), Ia, Ib, Ic concur at H.

Q037 is the locus of P such that the Euler line of the circumcevian triangle of P contains P (and obviously O).

See a generalization at Q067.

See also the similar quintic Q054 and Table 55.