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Volume 9 - Issue 130 - July 1917

Contents

Research Article

  • The Geometric Interpretation of Homographic Equations and their Application to loci and Envelopes*

  • John J. Milne
  • Published online by Cambridge University Press:
    03 November 2016, pp. 97-104

  • If two lines are divided in such a way that any point on one corresponds to one and only one point on the other, the lines are said to be divided homographically, and any relation between the segments which gives the variable point on one corresponding uniquely to a variable point on the other is a homographic equation.

    These equations are of two types:

    (α), which contains the term xx', may be said to be of the second order, and (β), in which the term xx' is wanting, may be said to be of the first order.

Other

Research Article

  • The Principles of Probability and Approximations in Arithmetic

  • W. Hope-Jones
  • Published online by Cambridge University Press:
    03 November 2016, pp. 105-113

  • If n quantities, which are known to the nearest whole number, are added together, find the probability that their sum so obtained is correct to the nearest whole number.

    Let the probability that the error is between x and x + dx be p dx.

    If n = 2, and x>0,

    p dx=Probability that first error is between x – 1/2 and 1/2,

    and that second error is within a given dx of its possible range

    from – 1/2 to 1/2,

    = (1– x)dx ; ∴ p = 1–x.

    If x<0, p = 1+x.

Other

Mathematical Notes

Reviews

Other

Correction

Front matter

  • MAG volume 9 issue 130 Cover and Front matter

  • Published online by Cambridge University Press:
    03 November 2016, pp. f1-f2
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Back matter

  • MAG volume 9 issue 130 Cover and Back matter

  • Published online by Cambridge University Press:
    03 November 2016, pp. b1-b2
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