Cirkel van Lester

 Gegeven driehoek en
 bijbehorende cirkel van Lester

De cirkel van Lester is een cirkel die bij een gegeven driehoek hoort. De cirkel gaat door de middelpunten van de negenpuntscirkel en omgeschreven cirkel van die cirkel en door de twee punten van Fermat, die bij de cirkel horen. De cirkel is naar June Lester uit Canada genoemd, die de cirkel heeft gevonden.

Het middelpunt van de cirkel van Lester heeft kimberlingnummer X(1116) en barycentrische coördinaten:

Websites

Literatuur

  • Clark Kimberling. Lester Circle, 1996. in Mathematics Teacher 89, 26
  • JA Lester. Triangles III: Complex triangle functions, 1997. in Aequationes Mathematicae, 53, blz 4–35.
  • M Trott. Applying GroebnerBasis to Three Problems in Geometry, 1997. Mathematica in Education and Research, 6, blz 15–28
  • R Shail. A proof of Lester's Theorem, 2001. in Mathematical Gazette, 85, blz 225–232
  • J Rigby. A simple proof of Lester's theorem, 2003. in Mathematical Gazette, 87, 444–452
  • JA Scott. On the Lester circle and the Archimedean triangle, 2005. in Mathematical Gazette, 89, 498–500
  • M Duff. A short projective proof of Lester's theorem, 2005. in Mathematical Gazette, 89, blz 505–506
  • S Dolan. Man versus Computer, 2007. in Mathematical Gazette, 91, blz 469–480
  • P Yiu. The circles of Lester, Evans, Parry and their generalizations, 2010. in Forum Geometricorum, 10, blz 175–209, hier beschikbaar

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