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Elkies Point


Given positive numbers s_a, s_b, and s_c, the Elkies point is the unique point Y in the interior of a triangle DeltaABC such that the respective inradii r_a, r_b, r_c of the triangles DeltaBYC, DeltaCYA, and DeltaAYB satisfy r_a:r_b:r_c=s_a:s_b:s_c.


See also

Congruent Incircles Point, Inradius

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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.

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Elkies Point

Cite this as:

Weisstein, Eric W. "Elkies Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ElkiesPoint.html

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