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X(3), X(4), X(42411), X(42412), X(43719), X(51933), X(52168), X(60612), X(60613)

A', B', C' : X20-OAP points

infinite points of pK(X6, X3529)

points of K006 on (O)

X(42411), X(42412), X(60612), X(60613) are the foci of the inconic with center X(20). They lie on K004 and K187.

U, V, W on the sidelines of ABC. U lies on the parallel at H to the A-cevian of X(3529), the isogonal conjugate of X(43719)

K855 is a cubic passing through the X20-OAP points as in Table 53. See also K824.

K855 is spK(X3529, X20) as in CL055. Its isogonal transform is spK(X4, X20).

K855 is a member of the pencils of cubics containing :

• the Orthocubic K006, the union of the Euler line and the circumcircle, also K028, K376.

• the Darboux cubic K004, K187, K852, all passing through the foci of the inconic with center X(20). See Table 54, line Q = X20 in the table.