Geodesic
Laws of rolling simplexes (feild equations according to Tycho Brahe)
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 38-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $N$ ($N=1,2,3,\ldots$). 
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Yu. P. Razmyslov. Laws of rolling simplexes (feild equations according to Tycho Brahe). Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 38-42. http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a7/

[1] Veil G., Klassicheskie gruppy. Ikh invarianty i predstavleniya, IL, M., 1947

[2] Razmyslov Yu.P., “Rolling i soizmerimost simpleksov”, Vestn. Mosk. un-ta. Matem. Mekhan., 2011, no. 5, 55–58 | MR