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Minimal Enclosing Hyperbolas of Line Sets

By Hans-Peter Schröcker


We prove the following theorem: If H is a slim hyperbola that contains a closed set S of lines in the Euclidean plane, there exists exactly one hyperbola Hmin of minimal volume that contains 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

Year: 2006
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