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.
