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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 33–39 (Mi znsl689)  

This article is cited in 2 scientific papers (total in 2 papers)

A note on convex $k$-gons of minimal area circumscribed around a convex $n$-gon

V. A. Zalgaller

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (172 kB) Citations (2)
Abstract: For one of there $k$-gons of minimal area circumscribed around a convex $n$-gon, $k-1$ sides of the $n$-gon lie on the sides of the $k$-gon. All midpoints of the sides of the $k$-gon belong to the $n$-gon.
Received: 15.03.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 4, Pages 1272–1275
DOI: https://doi.org/10.1023/A:1011373629136
Bibliographic databases:
UDC: 514.113+514.752.43
Language: Russian
Citation: V. A. Zalgaller, “A note on convex $k$-gons of minimal area circumscribed around a convex $n$-gon”, Geometry and topology. Part 3, Zap. Nauchn. Sem. POMI, 252, POMI, St. Petersburg, 1998, 33–39; J. Math. Sci. (New York), 104:4 (2001), 1272–1275
Citation in format AMSBIB
\Bibitem{Zal98}
\by V.~A.~Zalgaller
\paper A note on convex $k$-gons of minimal area circumscribed around a convex $n$-gon
\inbook Geometry and topology. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 252
\pages 33--39
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl689}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756713}
\zmath{https://zbmath.org/?q=an:0983.52012}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 4
\pages 1272--1275
\crossref{https://doi.org/10.1023/A:1011373629136}
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  • https://www.mathnet.ru/eng/znsl/v252/p33
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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