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X(2), X(3), X(187), X(3413), X(3414), X(5000), X(5001) Ma, Mb, Mc : midpoints of ABC Ka, Kb, Kc : feet of the Lemoine axis (centers of the apollonian circles) four foci of the Steiner inellipse (two real F1, F2) common points of the circumcircle and the Grebe cubic K102 i.e. vertices of the Grebe triangle. See also Table 57 imaginary foci of the Brocard ellipse i.e. common points of the Brocard axis and the Kiepert hyperbola 

Notes : • X(3413), X(3414) are the points at infinity of the Kiepert hyperbola. • E1, E2 on the Euler line are X(5000), X(5001). See Table 55. 

Q019 is a circular quartic with two real asymptotes parallel at X(625) to those of the Kiepert hyperbola. Its singular focus is X(187), the inverse of K in the circumcircle. The tangents at A, B, C are the medians. G is a flex with inflexional tangent the line GX(187). Q019 meets the Euler line at O, H and two (not always real) other points E1, E2 on the circle centered at X(468) orthogonal to the circumcircle. Locus properties
*** The isogonal transform of Q019 is Q094. See also Table 45 and the similar circular quartics Q115, Q116, Q117, Q118.

