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    Congruent Incircles Point

    Definition

    The triangulation point Y of a reference triangle Δ A B C for which triangles Δ B Y C, Δ C Y A, and Δ A Y B have congruent incircles. It is a special case of an Elkies point. Kimberling and Elkies showed that a unique such point exists for any triangle, but did not provide explicit constructions for this point.

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