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8 - Principia

Published online by Cambridge University Press:  05 September 2013

Richard S. Westfall
Affiliation:
Indiana University
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Summary

THE BACKGROUND to Halley's visit to Cambridge in August 1684 was a chance conversation of the previous January. By his own account, Halley had been contemplating celestial mechanics. From Kepler's third law, he had concluded that the centripetal force toward the sun must decrease in proportion to the square of the distance of the planets from the sun. The context of his statement implied that he arrived at the inverse-square relation by substituting Kepler's third law into Huygens's recently published formula for centrifugal force. He was not the only one who made the substitution. After Hooke raised the cry of plagiarism in 1686, Newton recalled a conversation with Sir Christopher Wren in 1677 in which they had considered the problem “of Determining the Hevenly motions upon philosophicall principles.” He had realized that Wren had also arrived at the inverse-square law. It is clear that the problem Hooke put to Newton in the winter of 1679–80 was one that several people defined for themselves at much the same time. It was, indeed, the great unanswered question confronting natural philosophy, the derivation of Kepler's laws of planetary motion from principles of dynamics.

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Publisher: Cambridge University Press
Print publication year: 1994

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  • Principia
  • Richard S. Westfall, Indiana University
  • Book: The Life of Isaac Newton
  • Online publication: 05 September 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781107050334.012
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  • Principia
  • Richard S. Westfall, Indiana University
  • Book: The Life of Isaac Newton
  • Online publication: 05 September 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781107050334.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Principia
  • Richard S. Westfall, Indiana University
  • Book: The Life of Isaac Newton
  • Online publication: 05 September 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781107050334.012
Available formats
×