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X(4), X(6), X(222), X(1498), X(1660), X(2192)

foci of the MacBeath circum-conic

vertices of the cevian triangle of X(20)

K711 is a circum-cubic that passes through the foci of the MacBeath circum-conic with center X(6), perspector X(3).

K711 meets :

• the line at infinity at the same points as K169 = pK(X6, X69) or pK(X3, X1370),

• the MacBeath circum-conic at the same points as pK(X3, X394).