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Characterizations of inner product spaces by geometrical properties of the heights in a triangle

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Abstract.

We study several properties of the heights in triangles in order to give some characterizations of inner product spaces.

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Authors and Affiliations

  1. Secció de Matemàtiques, ETSAB, Univ. Politècnica Catalunya, Diagonal 649, E-08028 Barcelona, Spain, Spain

    P. Guijarro & M. S. Tomás

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  1. P. Guijarro
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  2. M. S. Tomás
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Received: 26.1.1998

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Guijarro, P., Tomás, M. Characterizations of inner product spaces by geometrical properties of the heights in a triangle. Arch. Math. 73, 64–72 (1999). https://doi.org/10.1007/s000130050021

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  • DOI: https://doi.org/10.1007/s000130050021

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