Coordinates of the Midpoint of a Segment in an Extended Hyperbolic Space

被引：1
|
作者：
Romakina, Lyudmila N. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Dept Geometry, Saratov, Russia
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2023年 / 16卷 / 01期
关键词：
Extended hyperbolic space; hyperbilic space; hyperbolic space of positive curvature; segment; midpoint; quasi-midpoint;
D O I：
10.36890/IEJG.1270550
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 H3 in the frame of the first type. The space H3 we consider in the Cayley - Klein projective model as a projective three-dimensional space with an oval quadric 7 fixed in it.
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收藏
页码：272 / 282
页数：11
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