Credit: ©The Royal Society
    Image number: RS.15143

    Diagram for the Florentine Problem

    Date
    17 January 1694
    Creator
    Unknown, Artist
    Object type
    Archive reference number
    Manuscript page number
    p2
    Material
    Dimensions
    height (page): 207mm
    width (page): 165mm
    Subject
    Description
    This figure is from David Gregory's solution to the 'Florentine' problem set by Vincenzo Viviani, a disciple of Galileo Galilei, in the Acta Eruditorum (1692). The task was to create four equal-sized windows from a spherical dome in such a way that the remainder of the sphere would be quadrable. Gregory's solution was presented to the Royal Society through Edmond Halley on 17 January 1694, and was printed in Philosophical Transactions of the Royal Society, vol. 18, no. 207 (January 1694). Gregory's solution was one of several correct solutions offered.
    Transcription
    'Solutio Problematis Florentini' by David Gregory in his letter to Edmond Halley
    Transcribed by the Making Visible project
    Object history
    17 January 1694, 'Halley produced Dr Gregory's Letter to himself about the Florentine Problem of taking four segments out of a Hemisphere so as to leave the residue of the Curve surface Quadrable. Dr Gregory sent up his Demonstration of the said Problem, which was referd to Dr Hook to examine'; 24 January 1694, 'Ordered, that Sr Viviani have a Copy of Dr Gregory's Solution of the Florentin Problem communicated to him, and that Dr Gregorys Paper be published in the Transactions' (JBO/9/149-50).

    Fig. 3 in David Gregory, ‘Solutio problematis Florentini’, Phil. Trans., vol. 18, no. 207 (January 1694), pp. 25-29.
    Related fellows
    David Gregory (1659 - 1708, British) , Astronomer, Astronomer
    Edmond Halley (1656 - 1742, British) , Astronomer
    Associated place
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