About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Lorencová, Tamara
Karl Feuerbach a jeho věta o dotyku kružnic. (Czech) [Karl Feuerbach and his theorem about the tangent point of circles]. Učitel matematiky, vol. 23 (2015), issue 2, pp. 79-90
Summary:
The text is about Karl Feuerbach and his remarkable theorems. First, we describe his life and the path to mathematics. Then we remember the ``small'' Feuerbach's theorem about nine points circle, with brief proof. Finally, we state the ``big'' Feuerbach's theorem about tangent circlec, and two the most interesting proofs.
Related articles:
Karl Feuerbach a jeho věta o dotyku kružnic
References:
[1] Ayme, J. L.: Feuerbach's Theorem a new purely synthetic proof. 2010, překlad: Rosado, F. B., internetový zdroj: http://jl.ayme.pagesperso-orange.fr/Docs/Feuerbach1.pdf
[2] Grinberg, D.: Karl Wilhelm Feuerbach, sein Kreis und die Dreiecksgeometrie. internetový zdroj: http://www.matheraetsel.de/texte/Feuerbach.pdf
[3] Pedoe, D.: Circles: a mathematical view. The Mathematical Association of America. 1995. MR 1349339
[4] Prasolov, V.: Plane Geometry part 2. překlad: Leites D., internetový text, originál: http://www.mccme.ru/prasolov MR 1196005
[5] Švrček, J., Vanžura, J.: Geometrie trojúhelníka. Polytechnická knižnice. Praha 1988.
Partner of
EuDML logo