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 .
See also Congruent Incircles Point, Inradius
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.'' Math. Mag. 60, 116-117, 1987.