Belbachir, Hacène and Németh, László and Tebtoub, Soumeya Merwa (2020) Integer sequences and ellipse chains inside a hyperbola. Annales Mathematicae et Informaticae, 52. pp. 31-37. ISSN 1787-6117
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Official URL: https://doi.org/10.33039/ami.2020.06.002
Abstract
We propose an extension to the work of Lucca [Giovanni Lucca, Integer sequences and circle chains inside a hyperbola, Forum Geometricorum, Volume 19. 2019, 11–16]. Our goal is to examine chains of ellipses inside a hyperbola, and we derive recurrence relations of centers and minor (major) axes of the ellipse chains. We also determine conditions for these recurrence sequences to consist of integer numbers.
| Item Type: | Article |
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| Uncontrolled Keywords: | Ellipse chains, circle chains, hyperbola, integer sequences |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 17 Dec 2020 17:06 |
| Last Modified: | 03 Apr 2023 07:05 |
| URI: | http://real.mtak.hu/id/eprint/118483 |
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