Credit: ©The Royal Society
    Image number: RS.15119

    Erroneous diagram for Brouncker's paper on the pendulum

    Date
    22 January 1662
    Creator
    Unknown, Artist
    Object type
    Archive reference number
    Manuscript page number
    p9
    Material
    Dimensions
    height (page): 231mm
    width (page): 203mm
    Subject
    Physics
       > Mechanics
    Description
    This appears to be an attempt at reproducing a diagram from William Brouncker’s paper (Cl.P/1/15) proving that the curve of isochronous descent is a cycloid (proved earlier by Huygens by other means), and that the centre of curvature of every point of the cycloid (evolute) is a cycloid. This diagram contained an error in including a line (with 'x' along it) from D that intersected with fm and DRS, which is not needed for the proof.

    Correct versions of the diagram can be found at RBO/1/156, RBC/1/160 and MS/776/146.
    Object history
    At the meeting of the Royal Society on 22 January 1662, ‘The pendulum experiment was discoursed of by the lord viscount Brouncker, who brought in the account and schemes of it; and a committee was appointed for making trials of it, consisting of his lordship himself, Mr. Boyle, Sir William Petty, Dr. Wilkins, and Dr. Wren. His lordship’s paper was ordered to be registered, and a copy of it made against the Friday following, and brought to Sir Robert Moray, to be sent to Mons. Huygens’ (Birch 1:70). The entire paper is printed in Birch 1:70-74.
    Related fellows
    William Brouncker, 2nd Viscount Brouncker of Lyons (1620 - 1684, British) , Mathematician
    Associated place
    <The World>
       > Europe
          > United Kingdom
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