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Smooth Surfaces and Their Projections

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Catastrophe Theory
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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.

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© 1992 Springer-Verlag Berlin Heidelberg

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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

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  • 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

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