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Intersection of a Double Cone and a Line in the Split-Quaternions Context

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Abstract

This is a work on an application of the real split-quaternions to Spatial Analytic Geometry. Concretely, the intersection of a double cone and a line, which can be the empty set, a point, two points or a line, is studied in the real split-quaternions setting.

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Authors and Affiliations

  1. Centro de Matemática e Aplicações (CMA-UBI) and Departamento de Matemática, Universidade da Beira Interior, Covilhã, Portugal

    R. Serôdio & P. D. Beites

  2. Departamento de Matemática, Universidade de Coimbra, Coimbra, Portugal

    José Vitória

Authors
  1. R. Serôdio
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  2. P. D. Beites
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  3. José Vitória
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Corresponding author

Correspondence to P. D. Beites.

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Communicated by Rafał Abłamowicz

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Serôdio, R., Beites, P.D. & Vitória, J. Intersection of a Double Cone and a Line in the Split-Quaternions Context. Adv. Appl. Clifford Algebras 27, 2795–2803 (2017). https://doi.org/10.1007/s00006-017-0796-9

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  • DOI: https://doi.org/10.1007/s00006-017-0796-9

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