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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The sets that are scissor congruent to an unbounded convex subset of the plane
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by Sydell Perlmutter Gold PDF
Trans. Amer. Math. Soc. 215 (1976), 99-117 Request permission

Abstract:

It is shown that an unbounded convex plane body is scissor congruent to the union of a congruent body with a finite number of arbitrary topological discs. It is proved that ’is scissor congruent to’ is an equivalence relation. Thus two unbounded convex plane bodies are scissor congruent if and only if the union of one with a finite number of topological discs is scissor congruent to the other.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 215 (1976), 99-117
  • MSC: Primary 52A05
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0397544-9
  • MathSciNet review: 0397544