Summary
The class of the convex rotatory bodies of the fixed lengthl is to be considered and it is shown, that for
with firm volume demonstrate the greatest M.
The proof uses discussions of curves. The main difficulty consists in the fact, that a certain stretch of the picture is not always convex to beneath. [This difficulty was omitted at the analogie (V, F)-problem.]
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Literatur
H. Hadwiger,Über eine fehlende Ungleichung in der Theorie der konvexen Körper, El. Math.2, 51 (1950).
H. Bieri, Dissertation (Bern, 1941).
Vergleiche hiezu die Ausführungen Seite 6 in der eingangs zitierten Arbeit,Ein isoperimetrisches Problem mit Nebenbedingungung, Exper.6, 222 (1950), wobeiF durchM zu ersetzen ist.
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Bieri, H. Ein (V, M)-Problem mit Nebenbedingung. Experientia 7, 392–394 (1951). https://doi.org/10.1007/BF02168921
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DOI: https://doi.org/10.1007/BF02168921