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MR785787 (86h:53003) 53A04
Banchoff, T. F.; Beckenbach, E. F. Circular and countercircular images of plane curves. General inequalities, 3 (Oberwolfach, 1981), 321--337, Internat. Schriftenreihe Numer. Math., 64, Birkhäuser, Basel, 1983.
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