Abstract.
The following containment theorem is presented: If K and L are convex bodies such that every simplex that contains L also contains some translate of K , then in fact the body L must contain a translate of the body K . One immediate consequence of this theorem is a strengthened version of Weil's mixed-volume characterization of containment.
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Received October 31, 1995, and in revised form February 28, 1996.
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Lutwak, E. Containment and Circumscribing Simplices . Discrete Comput Geom 19, 229–235 (1998). https://doi.org/10.1007/PL00009342
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DOI: https://doi.org/10.1007/PL00009342