Osculating curves: around the Tait-Kneser Theorem
classification
🧮 math.DG
keywords
theoremosculatingtait-kneseraroundcirclescurvaturecurvecurves
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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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