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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the impossibility of ruler-only constructions
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by V. J. Baston and F. A. Bostock PDF
Proc. Amer. Math. Soc. 110 (1990), 1017-1025 Request permission

Abstract:

The paper points out that there are several interpretations in the literature of what is meant by a geometric construction. It is shown that these differences in interpretation are important, since certain classic results (including the Mohr-Mascheroni Theorem) are true under one but false under another.
References
  • Ludwig Bieberbach, Theorie der geometrischen Konstruktionen, Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften, Mathematische Reihe, Band 13, Verlag Birkhäuser, Basel, 1952 (German). MR 0052796
  • Heinrich Dörrie, 100 great problems of elementary mathematics: Their history and solution, Dover Publications, Inc., New York, 1965. Translated by David Antin. MR 0183598
  • Howard Eves, A survey of geometry, Revised edition, Allyn and Bacon, Inc., Boston, Mass., 1972. MR 0322653
  • B. V. Kutuzov, Studies in mathematics, vol. IV, Geometry (L. I. Gordon and E. S. Shater, transls.), School Mathematics Study Group, University of Chicago, Chicago, 1960.
  • Peter Schreiber, Theorie der geometrischen Konstruktionen, Studienbücherei, VEB Deutscher Verlag der Wissenschaften, Berlin, 1975 (German). MR 0640443
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 1017-1025
  • MSC: Primary 51M15
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1034882-3
  • MathSciNet review: 1034882