Electronic Proceedings of the Seventeenth Annual International Conference on Technology in Collegiate Mathematics

New Orleans, Louisiana, October 28-31, 2004

Paper S078

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Seventeenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0-321-43792-6, Copyright (C) 2006 by Pearson Education, Inc.


Expanding Curves and Arc Length

Joel C. Fowler


Southern Polytechnic State University
1100 South Marietta Parkway
Marietta, GA 30060


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ABSTRACT

Motivated by a classical puzzle, we create a curve from a set of points at a fixed distance from a given curve along the normal. MAPLE assists in graphing and experimentation with arc length. This leads to theorems on the arc length of these curves.

Keyword(s): multivariable calculus, Maple