Article contents
Intersections of tangent convex curves
Published online by Cambridge University Press: 09 April 2009
Abstract
We prove in this note that if two convex curves are internally tangent (lie on the same side of the common tangent), then in most cases they also cut each other infinitely many times. It follows that, in a certain sense, if two convex curves have an odd number of common points, then in general they are externally tangent (lie on different sides of the common tangent). The sense of the expressions most cases and in general remains to be precised.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 31 , Issue 4 , December 1981 , pp. 456 - 458
- Copyright
- Copyright © Australian Mathematical Society 1981
References
- 3
- Cited by