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Geometriae Dedicata

, Volume 43, Issue 3, pp 291–297 | Cite as

Triangles inscribed in simple closed curves

  • Mark J. Nielsen
Article

Abstract

We show that given any triangle T and any simple closed curve J ⊂ ℝ2 there are infinitely many triangles similar to T whose vertices are contained in J. In fact, the set of such vertices is dense in J.

Keywords

Closed Curf Simple Closed Curf 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Stromquist, W., ‘Inscribed squares and square-like quadrilaterals in closed curves’, Mathematika 36 (1989), 187–197.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Mark J. Nielsen
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of IdahoMoscowUSA

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