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X(1), X(5889)

A', B', C' reflections of H in the sidelines

intersections of the altitudes and the Brocard line

second intersections of the Kiepert hyperbola with the cevian lines of O

K158 is the only isogonal pK having its asymptotes parallel to the cevian lines of O = X(3). See also CL009 and K157.

Its pivot is P158 = X(5889) such that : OP158 = (3 + 8 cosA cosB cosC) OX(54) (vectors)