In this article, we find an analytical characteristic of the type of a line and derive the formulae for calculating the coordinates of the midpoints and quasi-midpoints of elliptic, hyperbolic, and parabolic segments in an extended hyperbolic space $H^3$ in the frame of the first type. The space $H^3$ we consider in the Cayley\,--\,Klein projective model as a projective three-dimensional space with an oval quadric $\gamma$ fixed in it.
Extended hyperbolic space; hyperbilic space hyperbolic space of positive curvature segment midpoint quasi-midpoint
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 30 Nisan 2023 |
Kabul Tarihi | 19 Nisan 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 16 Sayı: 1 |