Summary
According to the known proposition fromSteiner-Minkowski, the volume of the outer parallel-solid of a convex polyeder of then-dimensional space is a rational integral function at most from then th degree. The author gives an extension of this proposition to any polyeder.
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Hadwiger, H. Eine Erweiterung des Steiner-Minkowskischen Satzes für Polyeder. Experientia 2, 70 (1946). https://doi.org/10.1007/BF02163894
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DOI: https://doi.org/10.1007/BF02163894