Congruent Incircles Point

The triangulation point Y of a reference triangle DeltaABC for which triangles DeltaBYC, DeltaCYA, and DeltaAYB have congruent incircles. It is a special case of an Elkies point. Kimberling and Elkies (1987) showed that a unique such point exists for any triangle, but did not provide explicit constructions for this point.

See also

Congruent Incircles, Elkies Point, Incircle

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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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Congruent Incircles Point

Cite this as:

Weisstein, Eric W. "Congruent Incircles Point." From MathWorld--A Wolfram Web Resource.

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