Special Cases of Hyperbolic Parallelograms on the Lobachevsky Plane

被引：0

作者：

Maskina M.S. ^{[1
]}

Kuptsov M.I. ^{[2
]}

机构：

[1] Academy of Law and Management of the Federal Penal Service of Russia, Ryazan

[2] Ryazan State Radio Engineering University, Ryazan

来源：

Journal of Mathematical Sciences | 2022年 / 263卷 / 3期

关键词：

51F99; Cayley–Klein model; hyperbolic parallelogram; hyperbolic rhombus; Lobachevsky plane;

D O I：

10.1007/s10958-022-05935-4

中图分类号：

学科分类号：

摘要：

In this paper, we consider particular cases of hyperbolic parallelograms obtained by transferring characteristic properties of rectangles and squares on the Euclidean plane associated with their diagonals to the Lobachevsky plane. The existence of these quadrangles in the Cayley–Klein model in a circle of the Euclidean plane is proved. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：387 / 395

页数：8