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Lester's theorem
In Euclidean plane geometry, Lester's theorem, named after June Lester, states that in any scalene triangle, the two Fermat points, the nine-point center, and the circumcenter are concyclic.
Lester's theorem
References
Clark Kimberling, "Lester Circle", Mathematics Teacher, volume 89, number 26, 1996.
June A. Lester, "Triangles III: Complex triangle functions", Aequationes Mathematicae, volume 53, pages 4–35, 1997.
Michael Trott, "Applying GroebnerBasis to Three Problems in Geometry", Mathematica in Education and Research, volume 6, pages 15–28, 1997.
Ron Shail, "A proof of Lester's Theorem", Mathematical Gazette, volume 85, pages 225–232, 2001.
John Rigby, "A simple proof of Lester's theorem", Mathematical Gazette, volume 87, pages 444–452, 2003.
J.A. Scott, "On the Lester circle and the Archimedean triangle", Mathematical Gazette, volume 89, pages 498–500, 2005.
Michael Duff, "A short projective proof of Lester's theorem", Mathematical Gazette, volume 89, pages 505–506, 2005.
Stan Dolan, "Man versus Computer", Mathematical Gazette, volume 91, pages 469–480, 2007.
External links
The Lester Circle Details of its discovery.
Lester Circle at MathWorld
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
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