Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane
Yıl: 2021 Cilt: 14 Sayı: 1 Sayfa Aralığı: 196 - 206 Metin Dili: İngilizce DOI: 10.36890/IEJG.904467 İndeks Tarihi: 20-11-2021
Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane
Öz: In this paper, we study conics, which are invariant under the hyperbolic inversion with respectto the absolute of an extended hyperbolic plane H2 of curvature radius , 2 R+. They are calledthe hyperbolic Raisa Orbits of the second order.We prove that each hyperbolic Raisa Orbits of thesecond order in H2 belongs to one of four conics types of this plane. These types are as follows: thebihyperbolas of one sheet; the hyperbolas; the hyperbolic parabolas of one sheet and two branches;the elliptic cycles of radius =4. The family of all hyperbolic Raisa Orbits from the family of allbihyperbolas of one sheet (or all hyperbolas) defined exactly up to motions, is one-parametric. Thefamily of all hyperbolic Raisa Orbits from the family of all hyperbolic parabolas of one sheet andtwo branches (or all elliptic cycles) contains a unique conic defined exactly up to motions.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Romakina L (2021). Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. , 196 - 206. 10.36890/IEJG.904467 |
| Chicago | Romakina Lyudmila Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. (2021): 196 - 206. 10.36890/IEJG.904467 |
| MLA | Romakina Lyudmila Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. , 2021, ss.196 - 206. 10.36890/IEJG.904467 |
| AMA | Romakina L Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. . 2021; 196 - 206. 10.36890/IEJG.904467 |
| Vancouver | Romakina L Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. . 2021; 196 - 206. 10.36890/IEJG.904467 |
| IEEE | Romakina L "Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane." , ss.196 - 206, 2021. 10.36890/IEJG.904467 |
| ISNAD | Romakina, Lyudmila. "Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane". (2021), 196-206. https://doi.org/10.36890/IEJG.904467 |
| APA | Romakina L (2021). Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. International Electronic Journal of Geometry, 14(1), 196 - 206. 10.36890/IEJG.904467 |
| Chicago | Romakina Lyudmila Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. International Electronic Journal of Geometry 14, no.1 (2021): 196 - 206. 10.36890/IEJG.904467 |
| MLA | Romakina Lyudmila Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. International Electronic Journal of Geometry, vol.14, no.1, 2021, ss.196 - 206. 10.36890/IEJG.904467 |
| AMA | Romakina L Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. International Electronic Journal of Geometry. 2021; 14(1): 196 - 206. 10.36890/IEJG.904467 |
| Vancouver | Romakina L Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane. International Electronic Journal of Geometry. 2021; 14(1): 196 - 206. 10.36890/IEJG.904467 |
| IEEE | Romakina L "Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane." International Electronic Journal of Geometry, 14, ss.196 - 206, 2021. 10.36890/IEJG.904467 |
| ISNAD | Romakina, Lyudmila. "Hyperbolic Raisa Orbits of the Second Order in an Extended Hyperbolic Plane". International Electronic Journal of Geometry 14/1 (2021), 196-206. https://doi.org/10.36890/IEJG.904467 |
