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Volume 15 - March 1930

Contents

Page 6 of 18

Research Article

  • The Power Series and the Infinite Products for sin x and cos x

  • H. S. Carslaw
  • Published online by Cambridge University Press:
    03 November 2016, pp. 71-77

  • 1. The course of Plane Trigonometry “up to and including the solution of triangles and the properties of the circles associated with a triangle” offers little difficulty to the teacher and no serious difficulty to the pupil. But in the further development of the subject, when the circular functions sin x, cos x, … are regarded as functions of the real variable x, the position is different.

  • Decimal Processes: “Tracking the Unit.”

  • F. C. Boon
  • Published online by Cambridge University Press:
    03 November 2016, pp. 156-159

  • Twenty years ago it was anticipated that “Standard Form” would prove the ideal method for decimal processes. It was designed to abolish the mechanical teaching of a mechanical rule and to base arithmetical instruction on a conscious grasp of principles. A wide and extended trial has not realised the anticipation, indeed the method appears to-day to have many followers but few champions.

Mathematical Notes

Reviews

Mathematical Note

Mathematical Notes

Reviews

Mathematical Note

Mathematical Notes

Reviews

Research Article

  • The Triangular Billiard Table Problem

  • C. V. Boys
  • Published online by Cambridge University Press:
    03 November 2016, pp. 78-81

  • A ball is placed anywhere on a billiard table made in the form of an acuteangled triangle. It is required to find a point in a cushion such that if the ball is driven from its initial position to that point and then rebounds once each from the two other cushions it shall return to the point in which it hit the first cushion. It is understood that optical laws of reflection are obeyed and that the balls are points.

Mathematical Note

Mathematical Notes

Page 6 of 18