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X(1), X(1022), X(1023)

feet of the antiorthic axis (inflexion points)

K228 is an isogonal circum-conico-pivotal cubic (See Special Isocubics ยง8.3). Compare K228 with K015, isotomic circum-conico-pivotal cubic.

K015 and K229 are two members of CL064.

It is an unicursal cubic with singularity at I (incenter).

For any point M on K228, the line through M and its isogonal conjugate M* envelopes the circum-ellipse with perspector I, center X(9) the mittenpunkt. K228 is tritangent at A, B, C to this ellipse.