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Volume 58 - December 1974

Contents

Page 3 of 11

Obituary

  • Norman de Quetteville Dodds

  • B. J. F. Dorrington
  • Published online by Cambridge University Press:
    03 November 2016, pp. 207-208
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Research Article

  • How to deal with modern mathematicians

  • M. L. Cornelius
  • Published online by Cambridge University Press:
    03 November 2016, pp. 285-287

  • In the eighteenth century The Ladies’ Diary regularly included mathematical problems. A complete collection of these problems from 1704 to 1760 appears in a volume entitled The Diarian Repository; or Mathematical Register published in 1774 [1]:

    “... a collection of more than four hundred and seventy Problems, relating to such various parts of the Mathematics as are here collected from the Diaries, together with their Solutions fully investigated will, we doubt not, prove of considerable service to the young Adventurer in this useful branch of learning...”

  • Hero and Theon connected by matrices

  • L. E. Ellis
  • Published online by Cambridge University Press:
    03 November 2016, pp. 135-137

  • In a course on Greek Mathematics for our Classical Sixth some years ago, I noticed a connection between Theon’s and Hero’s sequences of rational approximations to √2 (the “side-and-diameter” numbers). A footnote in Heath [1] refers to a proof published in German in 1886, but I recently came across a generalisation which may be of some interest.

Classroom Notes

Classroom notes

Obituary

  • Vincenzo Consolato Antonino Ferraro

  • G. C. McVittie
  • Published online by Cambridge University Press:
    03 November 2016, pp. 208-209
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Research Article

  • A straight line is the shortest distance between two points

  • J. H. Webb
  • Published online by Cambridge University Press:
    03 November 2016, pp. 137-138

  • The popular definition of a “straight line” as “the shortest distance between two points” is one of the few pieces of mathematical jargon in general circulation in the English language. This is unfortunate, for it is not a good definition, and one may well wonder who originated it. Euclid is not to blame, for he defined a straight line as “that which lies evenly between its points”. (This is indeed cryptic, and Sir Thomas Heath, in a lengthy analysis of the original Greek, had to confess that “the language is...hopelessly obscure”.)

Classroom Notes

Classroom notes

Classroom Notes

Mathematical notes

Classroom Notes

Mathematical notes

Classroom Notes

Mathematical Notes

Mathematical notes

Page 3 of 11