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

X(2), X(13), X(14), X(395), X(396), X(1989) six equilateral anticevian points. See table 14. 

K278 is the pK with pole and pivot the barycentric product X(1989) of the Fermat points. Hence, it is a member of the class CL007. It is the only pK which contains all six equilateral anticevian points. See table 14. K278 is also the locus of point P such that the Euler lines of the anticevian triangle of P and of the reference triangle ABC are parallel (Paul Yiu, private message). It is tangent at A, B, C to the medians since the isoconjugate of the pivot is the centroid G. It is the isogonal transform of K390 = pK(X50, X6) and the isotomic transform of pK(X1989, X2). It is anharmonically equivalent to the Neuberg cubic. See Table 20. K278 is also related with CL064. 
