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Matematicheskie Zametki, 1976, Volume 19, Issue 2, Pages 161–164 (Mi mzm7735)  
Deviation of the centroid of a convex figure from the center of the circumscribed disk

Yu. G. Dutkevich

Leningrad State University
Full-text PDF (281 kB)
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.
Received: 03.10.1974
English version:
Mathematical Notes, 1976, Volume 19, Issue 2, Pages 97–99
DOI: https://doi.org/10.1007/BF01098739
Bibliographic databases:
UDC: 517
Language: Russian
Citation: Yu. G. Dutkevich, “Deviation of the centroid of a convex figure from the center of the circumscribed disk”, Mat. Zametki, 19:2 (1976), 161–164; Math. Notes, 19:2 (1976), 97–99
Citation in format AMSBIB
\Bibitem{Dut76}
\by Yu.~G.~Dutkevich
\paper Deviation of the centroid of a~convex figure from the center of the circumscribed disk
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 2
\pages 161--164
\mathnet{http://mi.mathnet.ru/mzm7735}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=405238}
\zmath{https://zbmath.org/?q=an:0325.52003}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 2
\pages 97--99
\crossref{https://doi.org/10.1007/BF01098739}
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