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Geometriae Dedicata

, Volume 56, Issue 3, pp 285–297 | Cite as

Rectangles inscribed in symmetric continua

  • Mark J. Nielsen
  • S. E. Wright
Article

Abstract

LetQ be any rectangle and letK ⊂ ℝ d (d ≥ 2) be a continuum which is either symmetric across a hyperplane or symmetric through a pointzK. We show thatK contains the vertices of a rectangle similar toQ which exhibits the same symmetry as doesK.

Mathematics Subject Classification (1991)

54-XX 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Mark J. Nielsen
    • 1
  • S. E. Wright
    • 2
  1. 1.Department of MathematicsUniversity of IdahoMoscowUSA
  2. 2.Department of Mathematics and StatisticsMiami UniversityOxfordUSA

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