X(2), X(3), X(187), X(1670), X(1671), X(3413), X(3414)
Ga, Gb, Gc vertices of the antimedial triangle
midpoints of ABC
X(3413), X(3414) : points at infinity of the Kiepert hyperbola
Q052 is a circular quartic with singular focus X(187) which passes through the points Ua, Ub, Uc.
It has two real asymptotes parallel to those of the Kiepert hyperbola intersecting at X = X(15301), a point on the lines X(99)X(187), X(543)X(625), etc.
It meets the circumcircle at the same points as K169 = pK(X6, X69).