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(1), X(3), X(4), X(80), X(102), X(517) 

K685 is a FuhrmannFeuerbach cubic, see details at K681 and also K529, K682, K683, K684. Its singular focus F is the reflection of X(80) about X(5).The line X(80)X(517) is the real asymptote and the line X(5)X(10) is the orthic line. K685 is the locus of P such that the antipedal triangle of P is perspective with the Fuhrmann triangle A2B2C2. 
