Credit: ©The Royal Society
    Image number: RS.14573

    The motion of bodies

    Date
    10 December 1684
    Creator
    Unknown, Artist
    Object type
    Archive reference number
    Manuscript page number
    p176
    Material
    Dimensions
    height (page): 376mm
    width (page): 242mm
    Subject
    Description
    Diagram in a copy of one of Newton's earliest drafts (now presumed lost) 'on motion' (1684), which became Book 1 of Principia mathematica philosophiae naturalis (1687).

    Diagram for theorem 4: supposing that the centripetal force be reciprocally proportional to the square of the distance from the centre, the squares of the periodic times in ellipses are as the cubes of their transverse axes.

    This is copied from RBO/6/224.
    Object history
    At the meeting of the Royal Society on 10 December 1684, 'Mr. Halley gave an account, that he had lately seen Mr. Newton at Cambridge, who had shewed him a curious treatise, De Motu; which upon Mr. Halley's desire, was, he said, promised to be sent to the Society to be entered upon their register. Mr. Halley was desired to put Mr. Newton in mind of his promise for the securing his invention to himself till such time as he could be at leisure to publish it. Mr. Paget was desired to join with Mr. Halley' (Birch 4:347).

    This is a copy of the tract sent via Edward Paget to Halley, which contained Newton's demonstration that an elliptical orbit entails an inverse-square force to one focus. From these insights, Newton went on to develop his Principia mathematica philosophiae naturalis. The original draft is presumed lost.
    Related fellows
    Isaac Newton (1642 - 1727, British) , Natural philosopher
    Associated place
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