非欧空间形式中的齿轮与滑轮
Gears and pulleys in non-Euclidean space forms
AI总结：
该研究针对球面几何与双曲几何下的齿轮、滑轮系统展开运动规律分析，发现两类非欧空间中对应的机械运动规律具有有趣的相似性，拓展了经典机械系统的非欧几何研究范畴。
摘要：
本文研究两类常见于众多装置的重要机械系统的非欧版本。更确切地说，我们探究了球面几何与双曲几何中滑轮和齿轮系统的运动规律。且有意思的是，我们发现所确定的规律之间存在有趣的相似性。
英文摘要：
In this article we study, in their non-Euclidean versions, two important mechanical systems that are very common in numerous devices. More precisely, we study the laws governing the movement of pulley and gear systems in spherical and hyperbolic geometries. And curiously, we were able to see an interesting similarity between the determined laws.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
