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X(2), X(4), X(6), X(54), X(275), X(1993), X(8882), X(34756)

isogonal conjugates of X(40678), X(52032)

infinite points of pK(X6, X343)

points of Q1, Q2, Q3 of pK(X6, X1993) on (O)

vertices A', B' ,C' of the cevian triangle of X(275)

Geometric properties :

The anticevian triangle of P is perspective to the circumcevian triangle of X(4) if and only if P lies on K1423. The locus of the perspector is K919.

K1423 is pK(X8882, X275), the isogonal transform of K612.

The isopivot of K1423 is X(6) hence the tangents at A, B, C are the symmedians.

K1423 and K612 meet at A, B, C, G, K and the four foci of the inconic with center X(23292) and perspector X(275) which is also inscribed in the triangle Q1Q2Q3.

K1423 meets this inconic at six points namely A', B', C' and R1, R2, R3 on the sidelines of Q1Q2Q3.