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In this article, we review the main results of Volume I of Newton's Principiawhich relates Kepler's law of planets and universal gravitation. In order toclarify the reasoning of Newton, elementary and simple proofs are given toinspire earnest young students. All proofs are based on either the symmetry ofspheres or taking great advantage of Kepler's law of area which also reflectsthe symmetry of centripedal forces.

The epic journey from Kepler's laws to Newton's law of universal gravitation revisited