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Volume 7 - January 1913

Contents

Page 6 of 18

Research Article

  • A Graphic Solution of the Equation

  • A. Lodge
  • Published online by Cambridge University Press:
    03 November 2016, pp. 41-45

  • zn − pz + q = 0. .....(1)

    The usual method of solution by means of a fixed curve and varying line is to draw the curve y = zn, and find where it is cut by the line y=pz − q.

    The following method is quicker, and has some aspects of theoretic interest to recommend it. It consists in taking p, q as coordinates, and in drawing the curve given by the parametric equation

    2

    which is the condition that the given equation (1) shall have equal roots.

Reviews

Mathematical Association

Mathematical Notes

Reviews

Mathematical Notes

Correspondence

  • The Editor of the Mathematical Gazette

  • X.Y.Z.
  • Published online by Cambridge University Press:
    03 November 2016, pp. 295-299
    • Article
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Reviews

Mathematical Notes

Reviews

Research Article

  • The Calculus as an Item in School Mathematics

  • C. S. Jackson
  • Published online by Cambridge University Press:
    03 November 2016, pp. 243-246

  • A bold induction by simple enumeration has been made. The graph when plotted confirms it. Let elementary algebra justify it. A little later the algebra will come first.

    Just when to introduce the synlbol Δ is of course a question of knowing the class.

    How the differences give the slope of certain chords will be evident. How far at this stage to allow the question of the tangent to arise is a question of tact.

Reviews

Mathematical Notes

Page 6 of 18