| Title:
|
Aproximace čísla $\pi$ pomocí zlatého řezu a kovových průměrů (Czech) |
| Author:
|
Spíchal, Luděk |
| Language:
|
Czech |
| Journal:
|
Rozhledy matematicko-fyzikální |
| ISSN:
|
0035-9343 (print) |
| Volume:
|
98 |
| Issue:
|
4 |
| Year:
|
2023 |
| Pages:
|
20-30 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| . |
| Date available:
|
2024-01-11T11:39:45Z |
| Last updated:
|
2024-01-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152001 |
| . |
| Reference:
|
[1] Abrarov, S. M., Siddiqui, R., Jagpal, R. K., Quine, B. M.: A new form of the Machin-like formula for $\pi $ by iteration with increasing integers.Journal of Integer Sequences, 25 (2022), Article 22.4.5, 1–17. MR 4447991 |
| Reference:
|
[2] Bellos, A.: Alexova dobrodružství v zemi čísel.Dokořán, Praha, 2015. |
| Reference:
|
[3] Chan, H. Ch.: Machin-type formulas expressing $\pi $ in terms of $\varphi $.Fibonacci Quarterly, 46/47 (2008/2009), 1, 32–37. MR 2494623 |
| Reference:
|
[4] Chien-Lih, H.: More Machin-Type Identities.Mathematical Gazette, 81 (1997), 490, 120–121. 10.2307/3618793 |
| Reference:
|
[5] Lehmer, D. H.: On arccotangent relations for $\pi $.American Mathematical Monthly, 45 (1938), 10, 657–664. MR 1524440 |
| Reference:
|
[6] Luca, F., Stanica, P.: On Machin’s formula with powers of the golden section.International Journal of Number Theory, 5 (2009), 6, 973–979. MR 2569739, 10.1142/S1793042109002493 |
| Reference:
|
[7] Nishiyama, Y.: Machin’s formula and Pi.International Journal of Pure and Applied Mathematics, 82 (2013), 3, 421–430. |
| Reference:
|
[8] Spíchal, L.: Jednotková parabola, zlatý řez a parabolické $\pi $.Rozhledy matematicko-fyzikální, 96 (2021), 1, 8–17. |
| Reference:
|
[9] Spíchal, L.: About the harmonic mean on the unit parabola.Symmetry: Culture and Science, 33 (2022), 1, 45–54. 10.26830/symmetry_2022_1_045 |
| Reference:
|
[10] Spíchal, L.: Konstrukce převrácených hodnot reálných čísel na jednotkových kuželosečkách.Učitel matematiky, 30 (2022), 4, 217–228. |
| Reference:
|
[11] de Spinadel, V. W.: From the golden mean to chaos.Nueva Librería, Buenos Aires, 1998. |
| Reference:
|
[12] 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 |
| . |
