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too complicated to be written here. Click on the link to download a text file.

X(3), X(4), X(20), X(155), X(12163), X(67272), X(67273)

infinite points of K006

points S1, S2, S3 of K006 on the circumcircle and their antipodes Q1, Q2, Q3

vertices R1, R2, R3 of the cevian triangle of H wrt Q1Q2Q3

Geometric properties :

K1387 is the Darboux cubic of the triangle Q1Q2Q3 which is defined in the page K1386, the Simson-McCay cubic.

Most of the properties of K1386 still hold and are not repeated here.

K1387 is a central cubic with center O. Its asymptotes are the Simson lines of Q1, Q2, Q3 which are also the perpendicular bisectors of the triangle Q1Q2Q3.