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Zur Existenz gleichseitiger Dreiecke in H-Ebenen

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Abstract

It is shown, by indicating how to construct one with ruler and gauge, that there are equilateral triangles in absolutes planes which need not satisfy the circle axiom. However, it is not possible to construct an equilateral triangle with given base in absolute planes, even if they satisfy bachmann'sLotschnittaxiom or the Archimedean axiom.

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Authors and Affiliations

  1. Department of Integrative Studies, Arizona State University West, P. O. Box 37100, 85069-7100, Phoenix, AZ, USA

    Victor Pambuccian

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  1. Victor Pambuccian
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Pambuccian, V. Zur Existenz gleichseitiger Dreiecke in H-Ebenen. J Geom 63, 147–153 (1998). https://doi.org/10.1007/BF01221245

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  • DOI: https://doi.org/10.1007/BF01221245

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