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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 vertices of the Thomson triangle i.e. common points of the circumcircle and the Thomson cubic X(5)circumcevian points (see Q141) 

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 vertices of the Thomson triangle concur at O hence Q037 is bitangent at X(15), X(16) to the Brocard axis. More generally, the polar line of M in Q037 passes through O if and only if M lies on Q136. In other words, Q136 is the 4th polar of O in Q037. The 1st polar is the Euler line, the 2nd polar is the Stammler hyperbola, the 3rd polar is a cubic passing through O, X(371), X372). The tangents at O, X(1), Ia, Ib, Ic concur at H. The Laplacian of Q037 is K463. This is the locus of M whose polar conic in Q037 is a rectangular hyperbola. 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. 
