Credit: ©The Royal Society
    Image number: RS.15972

    Method of finding the sums of logarithms

    Date
    5 August 1668
    Creator
    Unknown, Artist
    Object type
    Archive reference number
    Manuscript page number
    p2
    Material
    Dimensions
    height (page): 300mm
    width (page): 210mm
    Subject
    Description
    In a letter (now lost) dated 3 August 1668, William Brouncker asked John Wallis for his method of finding the sums of logarithms, as mentioned in Wallis's letter to Oldenburg dated 8 July 1668 (EL/W1/50). This diagram is part of Wallis's method, as described to Brouncker in a letter of 5 August 1668. This was added to Wallis's review of Nicolas Mercator's Logarithmotechnia, as set out in his letter of 8 July and printed in Philosophical Transactions of the Royal Society, vol. 3, no. 38 (August 1668).

    Copies of the diagram can be found at RBO/4/005 and RBC/3/086.
    Object history
    At the meeting of the Royal Society on 16 July 1668, ‘Mr. Oldenburg produced a paper in Latin of Dr. Wallis, dated at Oxford July 8, 1668, commending Mr. Nicholas Mercator’s Logarithmo-technia, lately printed, and making the quadrature of the hyperbola universal to all hyperbolas, with a desire, that since by this means the quadrature of the hyperbola was now so complete, as that scarce a better could be expected, and this work perfected by members of the society, this letter might be entered in their Register-Book, the more effectual to declare the invention their’s [sic]. It was read, and ordered to be registered accordingly' (Birch 2:306).

    Printed in John Wallis, 'Review (July 1668) of Logarithmotechnia Nicolai Mercatoris, and his own demonstration of infinite series', Phil. Trans. vol. 3, no. 38 (August 1668), pp. 753-64, with woodcut diagrams at p. 756.
    Related fellows
    John Wallis (1616 - 1703, British) , Mathematician
    William Brouncker, 2nd Viscount Brouncker of Lyons (1620 - 1684, British) , Mathematician
    Nicolas Mercator (1614 - 2001, British) , Mathematician
    Associated place
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