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Suggested Notation for Ratios and Cross-Ratios

  • Alfred Lodge
Extract

I wish to call attention to the value, for some purposes, ot the notation for the ratio ; and for the cross-ratio .

For instance: in Menelaus’ theorem for the property of a transversal meeting the sides of a triangle ABC in the points P, Q, R, the first mentioned notation makes the property shine out very clearly The equation in the form is

,

which conspicuously separates the points on the transversal from the angular points of the triangle.

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The Mathematical Gazette
  • ISSN: 0025-5572
  • EISSN: 2056-6328
  • URL: /core/journals/mathematical-gazette
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