Archiv der Mathematik

, Volume 10, Issue 1, pp 200–205 | Cite as

Separation, betweenness, and congruence in planes over non-ordered fields

  • T. G. Ostrom
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References

  1. [1]
    W. L. Edge, Conies and orthogonal projectivities in a finite plane. Canadian J. Math.8, 362–382 (1956).Google Scholar
  2. [2]
    G.Järnefelt, Reflections on a finite approximation to Euclidean geometry. Ann. Acad. Sci. Fennicae, Ser. A 196, (1951).Google Scholar
  3. [3]
    P. Kustaanheimo, A note on a finite approximation of the Euclidean plane geometry. Soc. Sci. Fennica, Commentationes phys.-math.XV, 19 (1950).Google Scholar
  4. [4]
    P. Kustaanheimo, On the relation of order in geometries over a Galois field. Soc. Sci. Fennica, Commentationes phys.-math.XX, 8 (1957).Google Scholar
  5. [5]
    P. Kustaanheimo, On the relation of congruence in finite geometries. Rend. Mat. e Appl.16, 286–291 (1957).Google Scholar
  6. [6]
    P. Kustaanheimo, On the relation of order in finite geometries. Rend. Mat. e Appl.16, 292–296 (1957).Google Scholar
  7. [7]
    B.Qvist, Some remarks concerning curves of the second degree in a finite plane. Ann. Acad. Sci. Fennicae, Ser. A 1134, (1952).Google Scholar

Copyright information

© Birkhäuser Verlag 1959

Authors and Affiliations

  • T. G. Ostrom
    • 1
  1. 1.Missoula

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