The Elliptical Envelope

2007/03/02 by Howard, Stephen
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.math/0703048

Abstract

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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