Abstract
A smooth curve on the plane can have a tangent which touches it tangentially at any number of points, but this is not true for generic curves. By a small perturbation of the curve one can always achieve that no straight line will be tangential at more than two points.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Arnold, V.I. (1992). Smooth Surfaces and Their Projections. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58124-3_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-58124-3_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54811-9
Online ISBN: 978-3-642-58124-3
eBook Packages: Springer Book Archive