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Proof of the Generalization of the Sawayama-Thébault Theorem

Published 19 Mar 2026 in math.MG | (2603.18651v1)

Abstract: We prove two conjectures posed in 2016 concerning a generalization of the Sawayama-Thébault Theorem and the Sawayama Lemma. We show that this generalized statement can be viewed in Laguerre geometry, which provides a natural framework for resolving the problem.

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