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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Global geometry of polygons. I: The theorem of Fabricius-Bjerre
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by Thomas F. Banchoff
Proc. Amer. Math. Soc. 45 (1974), 237-241
DOI: https://doi.org/10.1090/S0002-9939-1974-0370599-7

Abstract:

Deformation methods provide a direct proof of a polygonal analogue of a theorem proved by Fabricius-Bjerre and by Halpern relating the numbers of crossings, pairs of inflections, and lines of double tangency for smooth closed plane curves.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 45 (1974), 237-241
  • MSC: Primary 57C15; Secondary 14B05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0370599-7
  • MathSciNet review: 0370599