Proof of the Generalization of the Sawayama-Thébault Theorem
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915874458304512 |
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| author | Płatek, Miłosz |
| author_facet | Płatek, Miłosz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18651 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Proof of the Generalization of the Sawayama-Thébault Theorem Płatek, Miłosz Metric Geometry 51M05 (Primary), 51M04, 51B15 (Secondary) 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. |
| title | Proof of the Generalization of the Sawayama-Thébault Theorem |
| topic | Metric Geometry 51M05 (Primary), 51M04, 51B15 (Secondary) |
| url | https://arxiv.org/abs/2603.18651 |