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Observations on circumcenters in normed planes

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Abstract

We give a necessary and sufficient condition for the existence of a circumcenter of a triangle in a normed plane. We also give alternative proofs of some results in Alonso et al. (Comput Geom 45:350–369, 2012).

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Acknowledgements

I thank Undine Leopold for careful reading of the manuscript and for valuable suggestions which helped me to improve the presentation.

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Authors and Affiliations

  1. Matematiikan laitos, Helsingin yliopisto, PL 68, 00014, Helsinki, Finland

    Jussi Väisälä

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  1. Jussi Väisälä
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Correspondence to Jussi Väisälä.

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Väisälä, J. Observations on circumcenters in normed planes. Beitr Algebra Geom 58, 607–615 (2017). https://doi.org/10.1007/s13366-017-0338-6

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  • DOI: https://doi.org/10.1007/s13366-017-0338-6

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