Credit: ©The Royal Society
    Image number: RS.14604

    Diagram for doubling the cube and squaring the circle

    Date
    December 1662
    After
    Christiaan Huygens (1629 - 2006, Dutch) , Natural philosopher
    Object type
    Archive reference number
    Manuscript page number
    p72a
    Material
    Dimensions
    height (page): 377mm
    width (page): 233mm
    Subject
    Description
    These are diagrams originally used by Thomas Hobbes for his proofs for doubling the cube and squaring the circle. Christian Huygens's criticisms of these proofs were read at the meeting of the Royal Society on 31 December 1662. In the previous meeting (24 December 1662), Walter Pope had been asked to enlarge the figures, and this sheet may well be the one consulted at the meeting on 31 December.

    This diagram is copied at LBC/1/087. Another version of the diagram at the bottom of the page can be found at EL/H1/16/002.
    Object history
    At the meeting of the Royal Society on 24 December 1662, ‘Dr. Pope was desired to make the diagram in the great relating to Monsieur Huygens’s Latin letter to Sir Robert Moray, in answer to Mr. Hobbes’s defence of his geometrical problems’ (Birch 1:166). This is probably the enlarged version made by Pope.

    31 December 1662, ‘Monsieur Huygens’s letter to Sir Robert Moray was read, containing his answer to Mr. Hobbes’s defence of certain geometrical problems about the duplication of the cube, etc. And it was ordered to be sent to Mr. Hobbes by the means of the stationer appointed by himself to receive the judgments of foreign mathematicians concerning that matter’ (Birch 1:167).
    Related fellows
    Christiaan Huygens (1629 - 2006, Dutch) , Natural philosopher
    Robert Moray (1608 - 1673, British) , Natural philosopher
    Walter Pope (1627 - 1714, British) , Astronomer
    Associated place
    <The World>
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          > Netherlands
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          > United Kingdom
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