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

X(2), X(4), X(193) vertices of the orthic triangle points at infinity of the Thomson cubic. 

K181 is the isogonal transform of K167 = pK(X184, X6) and the isotomic transform of pK(X69, X2). It is a member of the class CL007 of cubics. Its asymptotes are parallel to those of the Thomson and Lucas cubics. It is tangent at A, B, C to the medians and at H to the Euler line. It meets the circumcircle at the same points as the isogonal pK with pivot X(3060). (green curve) K181 is the locus of point P such that the trilinear polar of P is perpendicular to the line PH. See CL040 for a generalization. 
