| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this article, we demonstrate how Newton proved Inverse Square Law of Gravitation through Kepler’s Three Laws of Planetary Motion in geometric ways. By studying Newton’s “Mathematical Principles of Natural Philosophy”, we investigate Newton’s geometric thoughts in mechanics and interpret these thoughts in modern mathematical language. In fact, Newton developed the concepts of Gravitation Theory with Calculus avoidlessly, but presented it in geometric ways. In order to popularize scientific knowledge, I attempt to reestablish Newton’s work in high school geometry.
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