The Elliptical Envelope

Details The Elliptical Envelope The Elliptical Envelope

2007-03-02

arxiv.org/abs/math/0703048v1

Mathematics

Differential Geometry

10 pages, 5 figures, Submitted to the American Mathematical Monthly

Scientific paper

This article considers a one-parameter family of circles F_C, which has the interesting property that the null isocline of the family is the largest member of the family. This family of circles is bounded and we consider the problem of deriving an equation for the envelope of F_C. We provide one standard solution, and three nonstandard ones. The article concludes with a discussion of the relative merits and aesthetics of the different methods.

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