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

X(3), X(6), X(183), X(956), X(1344), X(1345) common points of the Thomson cubic and the circumcircle i.e. vertices of the Thomson triangle infinite points of pK(X6, X5640) where X5640 = X2X51 /\ X6X110 

Let M be a variable point on the circumcircle. The trilinear polar of M meets the line OM at M'. The locus of M' is K297. K297 is a nodal circumcubic with node K. See the related quartic Q090. K297 is the isogonal transform of K295. K297 is a member of the pencil generated by the Thomson cubic K002 and the union of the circumcircle and the Brocard axis. This also contains K167, K172. 
