Given positive numbers 
, 
,
and 
, the Elkies point is the unique point
in the interior of a triangle 
such that the respective inradii 
, 
, 
of the triangles 
, 
, and 
satisfy 
.
Elkies Point
See also
Congruent Incircles Point, InradiusExplore with Wolfram|Alpha
References
Kimberling, C. "Central Points and Central Lines in the Plane of a Triangle." Math. Mag. 67, 163-187, 1994.Kimberling, C. and Elkies, N. "Problem 1238 and Solution: A Congruent Incircle Point." Math. Mag. 60, 116-117, 1987.Referenced on Wolfram|Alpha
Elkies PointCite this as:
Weisstein, Eric W. "Elkies Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ElkiesPoint.html