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Volume 2 - May 1903

Contents

Page 4 of 16

Research Article

  • Some Applications of the Theory of Assemblages

  • Arnold Emch
  • Published online by Cambridge University Press:
    03 November 2016, pp. 173-175

  • In order to be able to apply the theory of real numbers to measurable quantities, in particular to linear magnitudes, it is convenient to make use of the theory of groups (displacements). Thus, if B, C, D, …, Y are successive points on a continuous line between the extremities A and Z,

    AB+BC+CD+…+YZ=AZ,

    where AB, BC, … are arcs or consecutive displacements on the given line.

Mathematical Notes

Research Article

  • The Use of Tangential Coordinates

  • R. W. H. T. Hudson
  • Published online by Cambridge University Press:
    03 November 2016, pp. 354-356

  • There are two reasons why the use of tangential coordinates should be introduced at an earlier stage than is customary into the teaching of analytical geometry and placed on a somewhat different footing. The educational advantages of encouraging the student to follow out a course of reasoning with the help of only a few symbols instead of grinding out hard examples by long meaningless algebra should not require much pressing, although they do not seem to be sufficiently recognised in this country; and on the other hand many theories receive their most appropriate expression in tangentials chiefly owing to the fact that the absolute has a less specialised form in tangential than in point coordinates, being (in two dimensions) the product of two distinct factors in the former and a perfect square in the latter.

Mathematical Notes

Reviews and Notices

Reviews

Mathematical Notes

Reviews and Notices

Mathematical Notes

Other

Reviews

Reviews and Notices

Mathematical Notes

Letter

  • Correspondence

  • M.J.M. Hill
  • Published online by Cambridge University Press:
    03 November 2016, pp. 30-31
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Mathematical Notes

Page 4 of 16