April 23, 2024Open Access

Position of the centroid of a planar convex body

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Abstract

Abstract It is well known that any planar convex body A permits to inscribe an affine-regular hexagon HA H A. We prove that the centroid of A belongs to the homothetic image of HA H A with ratio 421 4 21 and the center in the center of HA H A. This ratio cannot be decreased.

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Marek Lassak (Tue,) studied this question.

synapsesocial.com/papers/68e6df9ab6db64358765b5e2 https://doi.org/https://doi.org/10.1007/s00010-024-01058-0

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