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Ruler and Compass Constructions

  • David R. Finston
  • Patrick J. Morandi
Chapter
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Abstract

One remarkable application of abstract algebra arises in connection with four classical questions, originating with mathematicians of ancient Greece, about geometric constructions.

References

  1. 1.
    Hobson EW (1913) Squaring the circle. Cambridge University Press, CambridgezbMATHGoogle Scholar
  2. 2.
    Klein F (1895) Ausgewählte Fragen der Elementargeometrie. GöttingenGoogle Scholar
  3. 3.
    Niven I (1939) The transcendence of pi. Am Math Monthly 46(8):469–471zbMATHGoogle Scholar
  4. 4.
    Niven I (1947) The irrationality of pi. Bull Am Math Soc 53(6):509Google Scholar
  5. 5.
    Richmond HW (1893) A construction for a regular polygon of seventeen sides. Q J Pure Appl Math 26:206–207zbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • David R. Finston
    • 1
    • 2
  • Patrick J. Morandi
    • 3
  1. 1.Department of MathematicsBrooklyn College of the City University of New YorkBrooklynUSA
  2. 2.CUNY Graduate CenterNew YorkUSA
  3. 3.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

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