Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 2, pp. 367381 (2007) 

Minimal enclosing hyperbolas of line setsHansPeter SchröckerUniversity Innsbruck, Institute of Basic Sciences in Engineering, Unit Geometry and CAD, email: hanspeter.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.
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