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