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In high school students are taught the formula that describes the universal gravitational force $F=G\frac{m_1 m_2}{r^2}$. However it is not taught how and why Newton came up with it. Does Newton give a demonstration of the formula?

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merged by HDE 226868 Jan 8 '17 at 15:59

This question was merged with How did Newton come up with his formula? because it is an exact duplicate of that question.

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