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Article

Osculating Curves: Around the Tait-Kneser Theorem

The Mathematical Intelligencer. 2013. Vol. 35. No. 1. P. 61-66.
Ghys E., Tabachnikov S., Timorin V.

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.