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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2015, Number 6(38), Pages 5–17
DOI: https://doi.org/10.17223/19988621/38/1
(Mi vtgu488)
 

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

MATHEMATICS

Lines close to geodetic lines on a paraboloid

M. S. Bukhtyak

Tomsk State University, Tomsk, Russian Federation
Full-text PDF (565 kB) Citations (2)
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Abstract: The problem posed in [1] has been completely solved. Properties of the line at which a paraboloid of revolution intersects a demiquadric are updated with facts convincing that the selected approach is feasible for constructing lines lying on the paraboloid, close to geodetic lines, and having properties comfortable enough to use them as tailoring lines of a metallic mesh. The main result is a demonstration of proximity of principal normals of the identified lines (they are called SG-lines) and geodetic lines.
Keywords: paraboloid, geodetic line, normal congruence, demiquadrics, ruled space.
Received: 01.09.2015
Bibliographic databases:
Document Type: Article
UDC: 519.711.3, 514.181.22
Language: Russian
Citation: M. S. Bukhtyak, “Lines close to geodetic lines on a paraboloid”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, no. 6(38), 5–17
Citation in format AMSBIB
\Bibitem{Buk15}
\by M.~S.~Bukhtyak
\paper Lines close to geodetic lines on a paraboloid
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2015
\issue 6(38)
\pages 5--17
\mathnet{http://mi.mathnet.ru/vtgu488}
\crossref{https://doi.org/10.17223/19988621/38/1}
\elib{https://elibrary.ru/item.asp?id=25302171}
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  • 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
    Вестник Томского государственного университета. Математика и механика
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    Abstract page:123
    Full-text PDF :63
    References:24
     
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