Elkies Point
Given Positive numbers 
, 
, and 
, the Elkies point is the unique point 
in the interior of aTriangle 
such that the respective Inradii 
, 
, 
of theTriangles 
, 
, and 
satisfy 
.
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.
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