The Euler-Gergonne-Soddy triangle is the right triangle created by the pairwise intersections of the Euler line , Soddy line , and Gergonne line . (The triangle is always right since the Soddy and Gergonne lines always intersect perpendicularly.) The vertices of this triangle are the de Longchamps point (), Fletcher point (), and Evans point () (Oldknow 1996).
It is not in perspective with .
The circumcircle of the Euler-Gergonne-Soddy triangle is the Euler-Gergonne-Soddy circle.