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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1976 Volume 19, Issue 2, Pages 161–164 (Mi mzm7735)

This article is cited in 1 paper

Deviation of the centroid of a convex figure from the center of the circumscribed disk

Yu. G. Dutkevich

Leningrad State University

Abstract: The estimate $\frac{OG}R\le\mathrm{const}\approx4278$ for the distanceOG between the centroid $G$ of a plane closed convex figure and the center $OG$ of its circumscribed disk of radius $R$ is obtained. It is shown that this estimate is exact.

UDC: 517

Received: 03.10.1974


 English version:
Mathematical Notes, 1976, 19:2, 97–99

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