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K955

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X(2), X(4), X(193), X(542), X(6792)

vertices of the orthic triangle

Geometric properties :

This is a sequel to K001, property 16. See notations and reference there.

For P on K001, the line X(4)P meets the line X(2)X(6) at Q' and let Q be the harmonic conjugate of Q' with respect to X(2) and X(193).

The locus of the projection M of Q on the line X(4)P is the strophoid K955.

K955 is the inverse in the polar circle of the rectangular circum-hyperbola (H) passing through X(468) with perspector X(14273).

The node is X(4) with nodal tangents parallel to the asymptotes of (H).

The singular focus F is the midpoint of X(4)X(691) and it is the last common point of K955 with the nine points circle.