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.
