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Volume 1 - Issue 14 - June 1898

Contents

Research Article

  • On the Connection between the Inscribed and Escribed Circles of a Triangle

  • H. B. Billups
  • Published online by Cambridge University Press:
    03 November 2016, pp. 177-180

  • The chief object of this paper is to investigate a method of obtaining from any proposition connected with the inscribed circle of a plane triangle a corresponding proposition connected with one of the escribed circles of a plane triangle.

    If we let a, b, c represent three lengths and A, B, C three angles, with the following limitations:

    I. All six quantities must be positive,

    II. A + B + C = π,

    III.

    we can regard a, b, c, A, B, C as the sides and angles of a plane triangle, and then by the methods of Algebra and Trigonometry we can deduce a number of algebraical and trigonometrical relations connecting them.

  • Notes on Elementary Dynamics V

  • R. F. Muirhead
  • Published online by Cambridge University Press:
    03 November 2016, pp. 180-184

  • The idea of Relative Motion is one that presents a good deal of difficulty to the beginner in Mechanics. The following Notes are offered to readers of the Gazette as indicating a mode of presenting the subject which I have found to be helpful to learners. A clear grip of the working ideas, rather than a discussion of their logical basis, is what is here aimed at.

Mathematical Notes

Other

Books Received

Front Matter

Back Matter