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Volume 32 - December 1948

Contents

Page 4 of 9

Mathematical Notes

Reviews

Mathematical Notes

Reviews

Other

Research Article

  • The Tricircular Generation of a Focus-Sharing Triad of Conics

  • E.H. Neville
  • Published online by Cambridge University Press:
    03 November 2016, pp. 184-186

  • “Didst thou never study the mathematics?”

    “What’s that, sir?”

    “Why, to know the trick how to make a many lines meet in one centre”

    Duchess of Malfi

    Let α, β, γ be three conics, one with foci B, C, one with foci C, A, and one with foci A, B. The specification of a single conic as the locus of the centre of a directed circle which touches two fixed directed circles is not unique but involves both a parameter and a choice of sign. Can we adjust the arbitrary elements in specifying α, β, γ to obtain a simple specification of the focus-sharing set as a whole? Explicitly, if α is derivable from circles η′, ζ′ round B, C, β from circles ζ′′, ξ′′ round C, A, and γ from circles ξ′′′, η′′′ round A, B, what conditions can bc usefully imposed on the concentric pairs ξ′′, ξ′′′; η′′′, η′; ζ′, ζ′′?

Reviews

Mathematical Notes

Correspondence

  • Experiment and the Teaching of Mechanics

  • J. E. Littlewood
  • Published online by Cambridge University Press:
    03 November 2016, p. 186
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Reviews

Mathematical Notes

Reviews

Page 4 of 9