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Volume 11 - Issue 164 - May 1923

Contents

Page 1 of 2

Research Article

  • On the Theory of the Plane Complex with Simple Geometrical and Kinematical Illustrations

  • R. W. Genese
  • Published online by Cambridge University Press:
    03 November 2016, pp. 293-301

  • OA,OB = x1, x2, being distances, carrying signs, along an axis, the “Bearing” of B with respect to A (called a vector, or step, or displacement) is given by AB = OB – OA = x2 – x1 in all cases, and is independent of the position of O.

    If we wish to add two such steps, a construction is necessary, viz. they are placed “ end on ” in either order; and the sum is dependent on the position of O ; if M be the mid-point of AB, the sum = 20M.

Other

Research Article

  • A Note on Tucker’s Harmonic Quadrilateral

  • Edwakd M. Langley
  • Published online by Cambridge University Press:
    03 November 2016, pp. 306-309

  • In a previous note it has been pointed out as a corollary to the proof of Ptolemy’s Theorem that, if in a cyclic quadrilateral ABCD, AB.CD = BC.DA, and if M be the mid-point of the diagonal BD (2m),

    and

    so that A and C are each the image in DB of the inverse of the other w.r.t. M, the constant of inversion being m2.

Mathematical Notes

Reviews

Page 1 of 2