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K855

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X(3), X(4)

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

infinite points of pK(X6, X3529)

points of K006 on (O)

foci of the inconic with center X(20)

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

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.