Position of the centroid of a planar convex body (Q6562882)
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scientific article; zbMATH DE number 7872201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Position of the centroid of a planar convex body |
scientific article; zbMATH DE number 7872201 |
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Position of the centroid of a planar convex body (English)
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27 June 2024
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An affine-regular hexagon is a nondegenerate affine image of the regular hexagon. As shown by \textit{A. S. Besicovitch} [J. Lond. Math. Soc. 23, 237--240 (1949; Zbl 0035.38402)] each plane convex body \(A\) has an inscribed affine-regular hexagon \(H_A\). The author proves that the centroid of \(A\) belongs to the homothetic image of \(H_A\), having center the center of \(H_A\), with the tight ratio 4/21.
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convex body
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centroid
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affine-regular hexagon
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