Schröcker, Hans-Peter Minimal enclosing hyperbolas of line sets. (English) Zbl 1167.53003 Beitr. Algebra Geom. 48, No. 2, 367-381 (2007). Author’s 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. Reviewer: N. K. Stephanidis (Thessaloniki) Cited in 2 Documents MSC: 53A04 Curves in Euclidean and related spaces PDF BibTeX XML Cite \textit{H.-P. Schröcker}, Beitr. Algebra Geom. 48, No. 2, 367--381 (2007; Zbl 1167.53003) Full Text: EuDML EMIS OpenURL