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Position of the centroid of a planar convex body
Published 3 Feb 2022 in math.FA and math.MG | (2202.01815v4)
Abstract: It is well known that any planar convex body $A$ permits to inscribe an affine-regular hexagon $H_A$. We prove that the centroid of $A$ belongs to the homothetic image of $H_A$ with ratio $\frac{4}{21}$ and the center in the center of $H_A$. This ratio cannot be enlarged.
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