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X(4), X(109)

infinite points of the altitudes

traces of the Simson line of X(109)

This cubic is an example of nK related with Table 58 where a generalization can be found. See also K839.

It meets the sidelines of ABC at Za, Zb, Zc on the Simson line of X(109) and the circumcircle again at S1, S2 on the Steiner line of X(109).

It meets K004 at three points at infinity, A, B, C, H and two other points on the line (L) passing through X(109), X(1498) and on the rectangular circum-hyperbola (H) passing through X(521), X(1433).