Geometriae Dedicata

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

Triangles inscribed in simple closed curves

  • Mark J. Nielsen


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.


Closed Curf Simple Closed Curf 
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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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