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X(3), X(4), X(6), X(1351), X(10002), X(34208)

infinite points of K002

points of K006 on (O)

foci of the inconic with center X(381), the midpoint of GH.

points on the sidelines of ABC and on the parallels at O to the medians

Geometric properties :

K1435 is spK(X2, X381) as in CL055. See also Table 54.

It is the isogonal transform is K804.

***

K1435 belongs to the pencils generated by :

• pK(X6, X387) and K187. See Table 54, line Q = X381 in the table. All these cubics pass through the foci of the inconic with center X(381).

• K002 and the union of the line at infinity and the Jerabek hyperbola. See Table 54, column P = X2 in the table. All these cubics pass through X(6) and the infinite points of K002.