The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry

Gülcan Balakan, Oğuzhan Demirel
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Abstract

In this paper, we present two gyroarea formulas (Mobius-Bretschneider’s formula and Mobius-Cagnoli’s formula) for Mobius gyroquadrilaterals in the Poincare disc model of hyperbolic geometry.
双曲几何庞卡罗圆盘模型中的Möbius-Bretschneider和Möbius-Cagnoli公式
本文给出了双曲几何庞加莱圆盘模型中莫比乌斯陀螺四边形的两个陀螺面积公式(Mobius- bretschneider公式和Mobius- cagnoli公式)。
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