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

too complicated to be written here. Click on the link to download a text file. 

X(13), X(14), X(98), X(14356) other points below 

K501 is an equilateral nK0 with pole X(1989), root the barycentric product X(14582) of X(1989) and X(525). See the related cubics K205 and CL054. The asymptotes bound an equilateral triangle with center X(14639), the intersection of the lines X(4)X(98) and X(5)X(99). K501 meet the circumcircle at E1, E2 on the perpendicular at X(5) to the Euler line. The third point E3 on this line also lies on the Fermat line X(13)X(14). E3 is X(14356), the X(1989)â€“isoconjugate of X(98). Recall that X(1989) is the barycentric product of the Fermat points. The isoconjugates of the infinite points of K501 lie on the circumconic with perspector X(1989) and eccentricity 2. They form another equilateral with sidelines parallel to the asymptotes of K501.

