Credit: ©The Royal Society
    Image number: RS.15097

    Diagrams

    Date
    27 August 1676
    Creator
    Unknown, Artist
    Object type
    Archive reference number
    Manuscript page number
    p5a
    Material
    Dimensions
    height (page): 68mm
    width (page): 175mm
    Subject
    Description
    Slip pasted into letter.

    This appears to be a copy of the diagrams at MM/1/52/003, which are from a letter by Gottfried Wilhelm Leibniz to Henry Oldenburg dated 27 August 1676, Paris. Leibniz here illustrates his method of of transformation: ‘that a given figure, with innumerable lines drawn in any way (provided they are drawn according to some rule or law), may be resolved into parts, and that the parts – or others equal to them – when reassembled in another position or another form compose another figure, equivalent to the former or of the same area even if the shape is quite different; whence in many ways the quadratures can be attained, be they absolute or hypothetical, geometrical or expressed arithmetically by an infinite series’ (translated in Correspondence of Newton, ed. by Turnbull, vol. 2, p. 65).
    Object history
    Commercium Epistolicum D. Johannis Collins, et aliorum de analysi promota (London: J. Tonson & J. Watts, 1722), pp. 131 [147], 134 [150].

    Commercium Epistolicum D. Johannis Collins, et aliorum De analysi promota (London: Typis Pearsonianis, 1712), pp. 59, 61.
    Related fellows
    Gottfried Wilhelm von Leibniz (1646 - 1716, German) , Natural philosopher
    Henry Oldenburg (1612 - 1677, German) , Scientific correspondent
    Associated place
    <The World>
       > Europe
          > Germany
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