Abstract
By generalizing some well-known results, we first obtain an inequality involving the volume and product of s-contents of s-faces of an n-simplex. Using this we generalize two inequalities maximizing the volume of one or two simplices in terms of their edge lengths.
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Volenec, V., Veljan, D. & Pečarić, J. Inequalities for Volumes of Simplices in Terms of Their Faces. Geometriae Dedicata 73, 57–62 (1998). https://doi.org/10.1023/A:1005044929055
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DOI: https://doi.org/10.1023/A:1005044929055