Annals of Science 47 (1):3-31 (1990)

Contrary to the received opinion, the fundamentals of Newton's dynamics can be set forth quite simply. In the first edition of the Principia, Newton employs a device that relates to Galileo's analysis of uniform rectilinear motion. In the second and third editions, Newton introduces an alternate device that relates to Huygens's analysis of uniform circular motion. A third device is also introduced but is hidden away as a corollary to a problem rather than set forth clearly as a theorem. Following the appearance of the first edition, Newton proposed, but never published, a grand new scheme for revising his dynamics in which he clearly set forth each dynamics ratio with a complementary set of solutions to the problems. As published, however, the alternate methods are not clear and are a source more of confusion than of clarification
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DOI 10.1080/00033799000200101
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The Geometrical Treatment of Central Forces in Newton’s Principia.François De Gandt - 1987 - Graduate Faculty Philosophy Journal 12 (1/2):111-151.

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