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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 372, Pages 34–43 (Mi znsl3555)  
This article is cited in 5 scientific papers (total in 5 papers)

Short spirals

A. I. Kurnosenko

Moscow Engineering Physics Institute, Moscow, Russia
Full-text PDF (229 kB) Citations (5)
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Abstract: Some previous results for planar curves with monotone curvature (spirals), limited in length by one way or another, are extended by removing requirements of convexity of the arc, its one-to-one projectability onto the chord, and curvature continuity. A more general class of short spiral arcs is thus introduced. Statements include Vogt's theorem, concerning boundary angles of a convex spiral arc, the necessary and sufficient conditions for its existence, positional inequalities for such arcs. Bibl. – 8 titles.
Key words and phrases: boundary curvature element, lenses, biarc curves.
Received: 20.12.2006
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 175, Issue 5, Pages 517–522
DOI: https://doi.org/10.1007/s10958-011-0361-3
Bibliographic databases:
Document Type: Article
UDC: 514.752.22
Language: Russian
Citation: A. I. Kurnosenko, “Short spirals”, Geometry and topology. Part 11, Zap. Nauchn. Sem. POMI, 372, POMI, St. Petersburg, 2009, 34–43; J. Math. Sci. (N. Y.), 175:5 (2011), 517–522
Citation in format AMSBIB
\Bibitem{Kur09}
\by A.~I.~Kurnosenko
\paper Short spirals
\inbook Geometry and topology. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 372
\pages 34--43
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3555}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 5
\pages 517--522
\crossref{https://doi.org/10.1007/s10958-011-0361-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958074208}
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  • https://www.mathnet.ru/eng/znsl/v372/p34
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:42
     
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