Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



On the impossibility of ruler-only constructions

Authors: V. J. Baston and F. A. Bostock
Journal: Proc. Amer. Math. Soc. 110 (1990), 1017-1025
MSC: Primary 51M15
MathSciNet review: 1034882
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] L. Bieberbach, Theorie der geometrischen Konstruktionen, Birkhäuser-Verlag, Basel, 1952. MR 0052796 (14:677a)
  • [2] H. Dörrie, 100 great problems of elementary mathematics, their history and solution (D. Antin, transl.), Dover Publications, New York, 1965. MR 0183598 (32:1078)
  • [3] H. Eves, A survey of geometry, Allyn and Bacon, Boston, 1968. MR 0322653 (48:1015)
  • [4] 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.
  • [5] P. Schreiber, Theorie der geometrischen Konstruktionen, VEB Deutscher Verlag der Wissenshaften, Berlin, 1975. MR 0640443 (58:30726)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 51M15

Retrieve articles in all journals with MSC: 51M15

Additional Information

Keywords: Geometric construction, ruler-only constructions, impossibility proof, Mohr-Mascheroni Theorem
Article copyright: © Copyright 1990 American Mathematical Society

American Mathematical Society