Lester's Theorem
The set of Lester , named after June Lester , is a statement of plane Euclidean geometry , which in any non- isosceles triangle , the two Fermat points , the center of Feuerbach circle and the circumcenter are konzyklisch, so on a circle lie.
The center of this circle has the Kimberling number X (1116) and the barycentric coordinates :
literature
- 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 Groebner Basis 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.
- JA 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.
Web links
- The Lester Circle details of the discovery
- Lester Circle at MathWorld