Osculating curves: around the Tait-Kneser Theorem
Differential Geometry
2012-07-25 v1
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.
Cite
@article{arxiv.1207.5662,
title = {Osculating curves: around the Tait-Kneser Theorem},
author = {E. Ghys and S. Tabachnikov and V. Timorin},
journal= {arXiv preprint arXiv:1207.5662},
year = {2012}
}