Laws of rolling simplexes (field equations according to Brahe) / Yu. P. Razmyslov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 6. P. 38-42 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

Models of central power fields with quadratic dynamics suggested by Rene 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, … Key words: field, Cartesian plane, affine chart, rolling, incompressibility, quadratic curve, focus, directrix, gravitation, promeasure, prometric, differential algebra.

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№ 6/2012