Osculating curves: around the Tait-Kneser Theorem

E. Ghys; S. Tabachnikov; V. Timorin

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arXiv · 1207.5662

Osculating curves: around the Tait-Kneser Theorem

E. Ghys·S. Tabachnikov·V. Timorin

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Abstract

The Tait-Kneser theorem states that the osculating circles of a plane curve with monotonic curvature are pairwise disjoint and nested. We discuss this theorem and a number of its variations.

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BibTeX RIS

E. Ghys, S. Tabachnikov, V. Timorin. 2012-07-24. Osculating curves: around the Tait-Kneser Theorem. https://arxiv.org/abs/1207.5662

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