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Fundam. Prikl. Mat., 2010, Volume 16, Issue 3, Pages 123–126 (Mi fpm1322)  

This article is cited in 1 scientific paper (total in 1 paper)

Rolling simplexes and their commensurability (laws of mechanics as a problem of choice between metrics and measure)

O. V. Gerasimova, Yu. P. Razmyslov

M. V. Lomonosov Moscow State University

Abstract: It can hardly be determined who noticed that Newton's first law could be interpreted as Kepler's second law for any observer, located out of the line trajectory of a freely moving body, and hammered the nail into the lit for metrics. However, every next generation, paying no attention to “Golden Rule of Mechanics” and “Lever Rule,” with perseverance worthy of better cause has extracted it from the grave. In this paper, we bring forward additional (and forcible, from our standpoint) arguments in direction that we should always study the original measure of things, in particular, we think that setsquare can be most advantageously substituted for compasses at a certain stage of teaching plane geometry at school.

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English version:
Journal of Mathematical Sciences (New York), 2011, 177:6, 860–861

UDC: 512.543.7+512.544.33+512.815.8+517.984.5+514.84

Citation: O. V. Gerasimova, Yu. P. Razmyslov, “Rolling simplexes and their commensurability (laws of mechanics as a problem of choice between metrics and measure)”, Fundam. Prikl. Mat., 16:3 (2010), 123–126; J. Math. Sci., 177:6 (2011), 860–861

Citation in format AMSBIB
\Bibitem{GerRaz10}
\by O.~V.~Gerasimova, Yu.~P.~Razmyslov
\paper Rolling simplexes and their commensurability (laws of mechanics as a~problem of choice between metrics and measure)
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 3
\pages 123--126
\mathnet{http://mi.mathnet.ru/fpm1322}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 177
\issue 6
\pages 860--861
\crossref{https://doi.org/10.1007/s10958-011-0513-5}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052356112}


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    This publication is cited in the following articles:
    1. O. V. Gerasimova, “Rolling simplexes and their commensurability. I. The axiom and criterion of incompressibility and the momentum lemma”, J. Math. Sci., 186:4 (2012), 586–591  mathnet  crossref
  • Фундаментальная и прикладная математика
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