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X(2), X(4), X(6), X(22), X(69), X(76), X(1670), X(1671) vertices of antimedial triangle cevians of X(76) points at infinity of the Grebe cubic 7 seven fixed points of a mapping mentioned at K1065 

The parallels to the symmedians drawn through a point P meet the sidelines of ABC at Pa, Pb, Pc. ABC and PaPbPc are perspective if and only if P lies on pK(X39, X69) = K140. The locus of the perspector is pK(X2, X76) = K141. See Special isocubics ยง3.2.4. The tangents at A, B, C are the symmedians. The asymptotes are parallel to those of the Grebe cubic i.e. pK(X6, X6) = K102. The isogonal transform of K141 is K177. Its complement is K836. See also K002, property 10. K141 is a member of the class CL043 : it meets the circumcircle at A, B, C and three other points where the tangents are concurrent. 
