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1983 (Publication #38)
Circular and Countercircular Images of Plane Curves (with E. Beckenbach)
General Inequalities 3 (1983), ISNM64, Birkhäuser-Verlag, 321-337.
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ABSTRACT
We extend Gauss's notion of the circular image of a plane curve, and we introduce the notion of a countercircular image of a plane curve from a point on the plane. The relationship between these two images are discussed, and we demonstrate examples of its application in global differential geometry of plane curves. |