Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 6, Pages 38–42 (Mi vmumm545)  
This article is cited in 2 scientific papers (total in 2 papers)

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Laws of rolling simplexes (feild equations according to Tycho Brahe)

Yu. P. Razmyslov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (261 kB) Citations (2)
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Abstract: Models of central power fields with quadratic dynamics suggested by René Descartes are studied. These examples gradually lead the reader to the understanding of base notions of differential algebraic-geometric theory of Brahe–Descartes–Watson including central fields whose dynamics is formed by planar affine algebraic curves of degree not exceeding $N$ ($N=1,2,3,\ldots$).
Key words: field, Cartesian plane, affine chart, rolling, incompressibility, quadratic curve, focus, directrix, gravitation, promeasure, prometric, differential algebra.
Received: 11.01.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 1, Pages 53–56
DOI: https://doi.org/10.3103/S0027132213010105
Bibliographic databases:
Document Type: Article
UDC: 512.543.7+512.544.33+512.815.8+517.984.5+514.84
Language: Russian
Citation: Yu. P. Razmyslov, “Laws of rolling simplexes (feild equations according to Tycho Brahe)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 6, 38–42; Moscow University Mathematics Bulletin, 68:1 (2013), 53–56
Citation in format AMSBIB
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\by Yu.~P.~Razmyslov
\paper Laws of rolling simplexes (feild equations according to Tycho Brahe)
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 6
\pages 38--42
\mathnet{http://mi.mathnet.ru/vmumm545}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 1
\pages 53--56
\crossref{https://doi.org/10.3103/S0027132213010105}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874964536}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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