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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 2, Pages 65–76 (Mi vngu79)  
The Concho–Spiral on the Cone

T. A. Kozlovskaya

Novosibirsk State University
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Abstract: We consider the construction of the two families concho-spirals on the cone and determine geometric properties of the concho-spiral. Moreover, we proved that the curvilinear quadrangles formed by the intersection of concho-spiral on the cone surface are similar. Then we found conditions under which the lines of one family divide the lines of another in the classical and generalized golden section.
Keywords: concho-spiral, golden section, shoulder line, generalized golden section.
Received: 15.10.2010
Document Type: Article
UDC: 514.7
Language: Russian
Citation: T. A. Kozlovskaya, “The Concho–Spiral on the Cone”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:2 (2011), 65–76
Citation in format AMSBIB
\Bibitem{Koz11}
\by T.~A.~Kozlovskaya
\paper The Concho--Spiral on the Cone
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 2
\pages 65--76
\mathnet{http://mi.mathnet.ru/vngu79}
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