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 .

**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.

© 1996-9

1999-05-25