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arXiv · 2202.01815

Position of the centroid of a planar convex body

Marek Lassak
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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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Marek Lassak. 2022-02-03. Position of the centroid of a planar convex body. https://arxiv.org/abs/2202.01815

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