Abstract
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 N (N = 1, 2, 3, . . .). When N = 2, a quadratic rolling simplex law is proved by purely algebraic means.
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