Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 48, No. 2, pp. 367-381 (2007)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 2, pp. 367-381 (2007) |
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Minimal enclosing hyperbolas of line setsHans-Peter SchröckerUniversity Innsbruck, Institute of Basic Sciences in Engineering, Unit Geometry and CAD, e-mail: hans-peter.schroecker@uibk.ac.at}}Abstract: We prove the following theorem: If $H$ is a slim hyperbola that contains a closed set $\mathcal{S}$ of lines in the Euclidean plane, there exists exactly one hyperbola $H_{\min}$ of minimal volume that contains $\mathcal{S}$ and is contained in $H$. The precise concepts of ``slim'', the ``volume of a hyperbola'' and ``straight lines or hyperbolas being contained in a hyperbola'' are defined in the text. Full text of the article:
Electronic version published on: 7 Sep 2007. This page was last modified: 28 Jun 2010.
© 2007 Heldermann Verlag
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