An explanation to “Rolling simplexes and their commensurability” (field equations in accordance with Tycho Brahe)статья
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Аннотация:Various Cartesian models of central power fields with quadratic dynamics are studied. These examples lead the reader to comprehension of basic aspects of the differential algebraic-geometrical Brahe–Descartes–Wotton theory, which embraces central power fields whose dynamics is composed of flat affine algebraic curves of degree at most NN (N=1,2,3,…N=1,2,3,…). When N=2N=2, a quadratic rolling simplex law is proved by purely algebraic means.