Credit: ©The Royal Society
    Image number: RS.15335

    Diagram

    Date
    ca. 20 February 1672
    Creator
    Unknown, Artist
    Object type
    Archive reference number
    Manuscript page number
    p1
    Material
    Dimensions
    height (page): 319mm
    width (page): 195mm
    Subject
    Description
    A figure in John Collins's 'Memorandum', drafted as the basis of a letter for Henry Oldenburg to send to Renatus Franciscus Slusius, which was indeed sent on 4 March 1672.

    The diagram illustrates Isaac Barrow's theorem regarding a cycloid, explained by Collins as follows: 'If any two Curves as AB, CD be alternly placed about the same Axis AC, the greatest common Ordinate is that whose touch lines EG and FH are parallel And the greatest rectangle EIF is that, where the Segments of the Axis produced (as CG, AH) cutt off by the touch lines are equall.'

    The diagram in Oldenburg's letter to Slusius can be found at EL/O2/79/003 and in its copy at LBO/5/179.
    Related fellows
    John Collins (1625 - 1683, British) , Mathematician, Mathematician
    Renatus Franciscus Slusius (1622 - 1685, Belgian) , Mathematician
    Isaac Barrow (1630 - 1677, British) , Classical and Mathematical Scholar, Mathematician
    Associated place
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