Credit: ©The Royal Society
    Image number: RS.15349

    Diagram

    Date
    17th century
    Creator
    John Collins (1625 - 1683, British) , Mathematician, Mathematician
    Object type
    Archive reference number
    Manuscript page number
    pp2-3
    Dimensions
    height (page): 304mm
    width (page): 187mm
    Description
    Diagram for solving two problems posited in the mathematical writings on the calculation of conic sections by Apollonius of Perga (late 3rd - early 2nd century BC). John Collins used geometrical methods to solve these problems.

    Collins also refers to the seventeenth lecture of Dr Isaac Barrow's Dioptricks, i.e. Barrow's Lectiones opticae (1669).

    See also a part of this explanation in Cl.P/24/29.
    Transcription
    It is requested to know the Transverse Axis of that Conicall Section whose Vertex is G whose focus R, S being a Point in the Section,

    It is required to find the transverse Axis of that Hyperbole whose Center is G, and RG part of one of its Assymptotes GS a Semidiameter of the said Hyperbole, and RS a line southing the Hyperbole in the Point S.
    Transcribed by the Making Visible project
    Related fellows
    John Collins (1625 - 1683, British) , Mathematician, Mathematician
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