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Title: Karl Feuerbach a jeho věta o dotyku kružnic (Czech)
Title: Karl Feuerbach and his theorem about the tangent point of circles (English)
Author: Lorencová, Tamara
Language: Czech
Journal: Učitel matematiky
ISSN: 1210-9037
Volume: 23
Issue: 1
Year: 2015
Pages: 16-27
Summary lang: English
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Category: math
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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. (English)
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Date available: 2022-02-21T14:25:55Z
Last updated: 2022-03-25
Stable URL: http://hdl.handle.net/10338.dmlcz/149413
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Reference: [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
Reference: [2] Grinberg, D.: Karl Wilhelm Feuerbach, sein Kreis und die Dreiecksgeometrie.internetový zdroj: http://www.matheraetsel.de/texte/Feuerbach.pdf
Reference: [3] Pedoe, D.: Circles: a mathematical view.The Mathematical Association of America. 1995. MR 1349339
Reference: [4] Prasolov, V.: Plane Geometry part 2.překlad: Leites D., internetový text, originál: http://www.mccme.ru/prasolov MR 1196005
Reference: [5] Švrček, J., Vanžura, J.: Geometrie trojúhelníka.Polytechnická knižnice. Praha 1988.
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