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Volume 3 - December 1904

Contents

Page 5 of 22

Research Article

  • A Suggested Rearrangement of the Book-Work on Some Elementary Series

  • T. J. I’a Bromwich
  • Published online by Cambridge University Press:
    03 November 2016, pp. 85-87

  • In all the English text-books on Analytical Trigonometry, so far as I know, the power-series for cos x; is obtained as the limit, when n tends towards infinity, of the finite sum for cos x,

    where and the number of terms is equal to the integer next greater than . The power-series for sin x is obtained similarly; the two series and the method of finding them being both due to Euler.

Reviews

Research Article

  • A New Cubic Connected with the Triangle

  • H. L. Trachtenberg
  • Published online by Cambridge University Press:
    03 November 2016, pp. 288-291

  • The locus of the points of contact of tangents from A to the conics of the confocal system with foci B, C is the same curve as the locus of the feet of normals from A to conies of the system. For any tangent AP to one of the conics is a normal AP to the orthogonal conic of the system through P. Hence if the coordinates of A referred to BC and the perpendicular bisector of BG be x0y0 the equation of this locus is the eliminant of λ between

Review

Mathematical Notes

Reviews

Mathematical Notes

Reviews

Board of Education: Consultative Committee

Reviews

Research Article

  • The Discussion of Certain Power-Series

  • G. St. L. Carson
  • Published online by Cambridge University Press:
    15 September 2017, pp. 345-348

  • The difficulties which arise in teaching the elementary power series appear to form part of a larger question, namely, the proper course of mathematical education after a sufficient knowledge of Elementary Geometry, Algebra and Trigonometry has been acquired. The question of Geometry is hardly germane to the present discussion, and I will only mention it so far as to say that I believe it is the hope of many teachers of mathematics that boys of 15 or 16 may in the future learn far more of Projective and Descriptive Geometry than is the case at present.

Reviews

Mathematical Notes

Review

Research Article

  • Univocal Curves and Algebraic Curves on a Quadric Surface

  • R. W. H. T. Hudson
  • Published online by Cambridge University Press:
    03 November 2016, pp. 56-60

  • § 1. The projective theory of conies is based chiefly on the fact that a conic is a unieursal curve, and the simplest analytical method of treatment is to take for reference a triangle formed by two tangents and their chord of contact, so that with suitable multiples of distances for coordinates the equation of the conic may be written in the form

    y2 — xz=0.

Reviews

Mathematical Notes

Other

Reviews

Page 5 of 22