关于开普勒对谐调的几何处理方法

arXiv - MATH - Symplectic Geometry Pub Date : 2024-09-06 DOI:arxiv-2409.04119

Urs Frauenfelder

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引用次数: 0

摘要

开普勒的思想极具独创性，而他发现著名的第三定律的灵感则来自于他在 Harmonices mundi 中用相当奇特的几何方法来解释谐调。在本文中，我们将根据开普勒的思想，尝试使用现代数学方法，借助尺子和圆规可以构造的多边形的边数，来描述这些谐调。

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On Kepler's geometric approach to consonances

Kepler's thinking is highly original and the inspiration for discovering his famous third law is based on his rather curious geometric approach in his Harmonices mundi for explaining consonances. In this article we try to use a modern mathematical approach based on Kepler's ideas how to characterize the seven consonances with the help of the numbers of edges of polygons constructible by ruler and compass.

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arXiv - MATH - Symplectic Geometry

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