| 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:
|
2 |
| Year:
|
2015 |
| Pages:
|
79-90 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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) |
| . |
| Date available:
|
2022-02-21T14:29:44Z |
| Last updated:
|
2022-03-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149422 |
| . |
| 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. |
| . |
