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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 261, Pages 76–101 (Mi znsl1090)  

On the triangle of the least perimeter circumscribed about a convex $n$-gon

V. A. Zalgallera, A. L. Ionesb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b State Technological Institute of St. Petersburg
Abstract: The structure of an algorithm for finding a circumscribed triangle of the least perimeter is proposed. Properties of such a triangle are described.
Received: 28.06.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 4, Pages 2795–2809
DOI: https://doi.org/10.1023/A:1015350228698
Bibliographic databases:
UDC: 519.6+514.112.3
Language: Russian
Citation: V. A. Zalgaller, A. L. Iones, “On the triangle of the least perimeter circumscribed about a convex $n$-gon”, Geometry and topology. Part 4, Zap. Nauchn. Sem. POMI, 261, POMI, St. Petersburg, 1999, 76–101; J. Math. Sci. (New York), 110:4 (2002), 2795–2809
Citation in format AMSBIB
\Bibitem{ZalIon99}
\by V.~A.~Zalgaller, A.~L.~Iones
\paper On the triangle of the least perimeter circumscribed about a convex $n$-gon
\inbook Geometry and topology. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 261
\pages 76--101
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1090}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1758419}
\zmath{https://zbmath.org/?q=an:1003.52001}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 4
\pages 2795--2809
\crossref{https://doi.org/10.1023/A:1015350228698}
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