球面和双曲双心多边形

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-06-17 DOI:10.1007/s00010-024-01088-8

Ren Guo

引用次数: 0

摘要

将欧几里得双心多边形的圆周率、内径和圆心与圆心之间距离的关系推广到球面几何和双曲几何中。研究了这些广义公式在圆周半径较小时的渐近行为。推导出双曲超理想双心多边形的关系。

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Spherical and hyperbolic bicentric polygons

Relations of circumradius, inradius and the distance between the circumcenter and incenter of Euclidean bicentric polygons are generalized into spherical geometry and hyperbolic geometry. The asymptotic behavior of these generalized formulas with small circumradius are studied. Relations for hyperbolic hyper-ideal bicentric polygons are derived.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.