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arXiv 1002.4728math-phmath.MP
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双曲和圆三角及其在狭义相对论中的应用

Hyperbolic and Circular Trigonometry and Application to Special Relativity

Giuseppe Dattoli, Mario Del Franco

摘要:

我们讨论了双曲三角学的最基本性质,并展示了如何利用它们来获得对狭义相对论的简单但有趣的几何解释。它确实产生了对洛伦兹变换和相对论运动学的直接理解。文章中采用的几何框架是有用的,披露了大量的替代三角学不教本科和研究生课程。它们的引入可以为学生和教师提供一个有趣和有用的概念工具。

英文摘要:

We discuss the most elementary properties of the hyperbolic trigonometry and show how they can be exploited to get a simple, albeit interesting, geometrical interpretation of the special relativity. It yields indeed a straightforword understanding of the Lorentz transformation and of the relativistic kinematics as well. The geometrical framework adopted in the article is useful to disclose a wealth of alternative trigonometries not taught in undergraduate and graduate courses. Their introduction could provide an interesting and useful conceptual tool for students and teachers.

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。

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