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Parametrizing Implicitly Defined Curves
Author

Steven Wilkinson
Organization: Northern Kentucky University
URL: http://www.nku.edu/~wilkinson/
Old MathSource #

0209-742
Revision date

1998-10-12
Description

The package ParametrizeCurve.m has one command, ParametrizeCurve, that takes an implicitly defined curve in real n-space, given by n-1 equations in n variables, along with one point on the curve, and returns a parametrization for the curve through that point. The command will even parametrize through nondegenerate singular points of the curve.

The notebook AboutParametrizeCurve contains a short description about how the command ParametrizeCurve works, discusses the options that can be used with this command, and gives several examples of its use.
Subjects

*Mathematics > Algebra
*Mathematics > Calculus and Analysis > Differential Geometry
Keywords

Varieties, surface intersections, parametric curves, implicit curves, singular points
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AboutParametrizeCurve.nb (29.9 KB) - Mathematica notebook
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ParametrizeCurve.m (12.9 KB) - Mathematica package