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Non-euclidean incidence planes

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Abstract

The paper discusses finite or infinite incidence planes in which an oval plays the role of a metric conic. The points of the oval are used as coordinates, and ordered couples of these coordinates give rise to a coordinatization of the whole plane by means of ternary structures. These ternaries are studied, and a few specializations and their geometric analogues are studied.

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Authors and Affiliations

  1. State University of New York, Buffalo

    R. Artzy

Authors
  1. R. Artzy
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Additional information

Supported in part by Grant GP-2068 of the National Science Foundation and by the Rutgers Research Council.

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Artzy, R. Non-euclidean incidence planes. Israel J. Math. 4, 43–53 (1966). https://doi.org/10.1007/BF02760069

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  • DOI: https://doi.org/10.1007/BF02760069

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