Geodesic
An explanation to “Rolling simplexes and their commensurability” (field equations in accordance with Tycho Brahe)
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 193-215 
Yu. P. Razmyslov. An explanation to “Rolling simplexes and their commensurability” (field equations in accordance with Tycho Brahe). Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 193-215. http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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

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