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X(4), X(17), X(18), X(20), X(3628), X(15319)

CPCC points, see Table 11 and Table 15

infinite points of K005

other points below

Geometric properties :

K948 is a member of the pencil generated by the Napoleon cubic K005 and the union of the line at infinity with the Kiepert hyperbola. This pencil also contains K119.

S = X(6)X(17) /\ X(20)X(2888) is the third point of K948 on the Napoleon line. S also lies on the rectangular hyperbola (H) that contains the four CPCC points.

K948 meets the circumcircle at the same points as pK(X6, T) where T is the homothetic of X(1216) under h(X5, 3/2). T lies on the lines {5,141}, {20,2979}.

S and T are now X(15605), X(15606) in ETC (2017-12-21).