Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

vertices of antimedial triangle

points Ua, Ub, Uc mentioned in the Neuberg cubic page. See also table 16 and table 18.

Kjp = K024 is the only isogonal nK60+. Its three real asymptotes concur at G and are parallel to the sidelines of the Morley triangle.

The locus of pivots of all pKs having the same asymptotic directions as Kjp is K142. It is also a K60 and its three real asymptotes are the sidelines of the circumtangential triangle, hence they are tangent to the circumcircle.

This has to be compared to KO++ = K080 where the three real asymptotes are perpendicular to the sidelines of the Morley triangle.

See a generalization at CL052.

The complement of K142 is K607 and its isogonal transform is K902.