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X(2), X(523), X(3413), X(3414)

reflections A', B', C' of A, B, C in G

U, V, W feet of the trilinear polar of X(524), tangent to the Steiner in-ellipse at the antipode of X(115).

their reflections in G

K068 is a central nK0++ with root X(524) and a member of the class CL012 of cubics. Two asymptotes are parallel to those of the Kiepert hyperbola and the third one is perpendicular at G to the Euler line. Its pole is X(523). The inflexional tangent at G passes through the center X(115) of the Kiepert hyperbola.