| Title:
|
Pythagorejské průměry, kontraharmonický průměr a zlatý řez v pravoúhlém trojúhelníku (Czech) |
| Author:
|
Spíchal, Luděk |
| Language:
|
Czech |
| Journal:
|
Rozhledy matematicko-fyzikální |
| ISSN:
|
0035-9343 (print) |
| Volume:
|
99 |
| Issue:
|
3 |
| Year:
|
2024 |
| Pages:
|
1-12 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| . |
| Date available:
|
2024-10-16T15:47:48Z |
| Last updated:
|
2024-10-16 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152601 |
| . |
| Reference:
|
[1] Bellos, A.: Alexova dobrodružství v zemi čísel.Dokořán, Praha, 2015. |
| Reference:
|
[2] Domenico, Di A.: The golden ratio–the right triangle–and the arithmetic, geometric, and harmonic means.The Mathematical Gazette, 89 (2005), 515, 261–261. 10.1017/S0025557200177769 |
| Reference:
|
[3] Gielis, J.: The Geometrical Beauty of Plants.Atlantis Press, Paris, 2017. MR 3644202 |
| Reference:
|
[4] Høibakk, R., Lukkassen, D., Meidell, A., Persson, L. E.: Geometric construction of some Lehmer means.Mathematics, 6 (2018), 11, 251, https://doi.org/10.3390/math6110251. 10.3390/math6110251 |
| Reference:
|
[5] Lokesha, V., Padmanabhan, S., Nagaraja, K. M., Simsek, Y.: Relation between Greek means and various means.General Mathematics, 17 (2009), 3, 3–13. MR 2656751 |
| Reference:
|
[6] Scimone, A.: Some nice relations between right-angled triangles and the Golden Section.Teaching Mathematics and Its Applications, 30 (2011), 85–94. 10.1093/teamat/hrr002 |
| Reference:
|
[7] Spíchal, L.: The geometric constructions of the Greek means.Symmetry: Culture and Science, 34 (2023), 4, 407–416. 10.26830/symmetry_2023_4_407 |
| Reference:
|
[8] de Spinadel, V. W.: From the golden mean to chaos.Nueva Librería, Buenos Aires, 1998. |
| Reference:
|
[9] de Spinadel, V. W., Paz, J. M.: A new family of irrational numbers with curious properties.Humanistic Mathematics Network Journal, 19 (1999), 33–37. 10.5642/hmnj.199901.19.14 |
| Reference:
|
[10] Sugimoto, T.: Inducing the Symmetries Out of the Complexity: The Kepler Triangle and Its Kin as a Model Problem.In: Darvas, G. (eds): Complex Symmetries. Birkhäuser, Cham, 2021. MR 4381427 |
| Reference:
|
[11] Wikipedia: Kepler triangle.Wikipedia, https://en.wikipedia.org/wiki/Kepler_triangle. [cit. 2024-06-11]. |
| Reference:
|
[12] Wikipedia: Contraharmonic mean.Wikipedia, https://en.wikipedia.org/wiki/Contraharmonic_mean. [cit. 2024-06-05]. |
| . |
