Credit: ©The Royal Society
    Image number: RS.14840

    Charts and diagrams relating to centrobaric rule

    Date
    20 September 1673
    Creator
    John William Wallis (1740, British) , Mathematician
    Object type
    Archive reference number
    Manuscript page number
    p301
    Material
    Dimensions
    height (page): 313mm
    width (page): 201mm
    Subject
    Description
    Charts and diagrams in a letter from John Wallis, dated at Oxford, to Henry Oldenburg concerning the centrobaric rule of Paul Guldin (1577-1643) and Wallis's own method in his Arithmetica infinitorum (1655).

    Paul Guldin’s rule in Centrobaryca (1635-41) states that 'if any plane figure revolve about an external axis in its plane, the volume of the solid so generated is equal to the product of the area of the figure and the distance travelled by the center of gravity of the figure’ (as explained in The Correspondence of Henry Oldenburg, vol. 10, p. 180n4).

    The images in the original letter are at EL/W2/12/002. There is another copy at LBC/6/348-49.
    Related fellows
    John Wallis (1650, British) , Mathematician
    Henry Oldenburg (1612 - 1677, German) , Scientific correspondent
    Associated place
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