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arXiv 2003.13405physics.class-ph
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从开普勒定律到牛顿定律:一个教学证明

From Kepler's laws to Newton's law: a didactical proof

Riccardo Borghi

摘要:

本文提出了从开普勒三定律出发,初等导出牛顿“平方反比定律”的方法。我们的证明,基本上是为大学一年级学生准备的,基本上是基于欧几里得几何。然后,它甚至可以提供给高中学生只拥有微积分的第一基础。

英文摘要:

An elementary derivation of the Newton "inverse square law" from the three Kepler laws is proposed. Our proof, thought essentially for first-year undergraduates, basically rests on Euclidean geometry. It could then be offered even to high-school students possessing only the first basics of Calculus.

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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