The Euler-Gergonne-Soddy circle, a term coined here for the first time, is the circumcircle of the Euler-Gergonne-Soddy
triangle. Since the Euler-Gergonne-Soddy
triangle is a right triangle, Thales'
theorem implies that it has the line segment joining the Evans
point 
and de Longchamps point 
as a diameter, making its center the midpoint
of 
,
which is not a Kimberling center. The radius
appears not to have a simple form.
It passes through Kimberling centers 
for 
(de Longchamps point 
),
1323 (Fletcher point 
), and 1375 (Evans point 
).
The circle function is somewhat complicated and is not a Kimberling center.
