## A global theory of flexes of periodic functions

- G. Thorbergsson, M. Umehara
- Nagoya Math. J. 173
- 2004

At every point, a smooth plane curve can be approximated, to second order, by a circle; this circle is called osculating. One may think of the osculating circle as passing through three infinitesimally close points of the curve. A vertex of the curve is a point at which the osculating circle hyper-osculates: it approximates the curve to third order… (More)

### Presentations referencing similar topics