FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 4, PAGES 193-215

**An explanation to "Rolling simplexes and their commensurability"
(field equations in accordance with Tycho Brahe)**

Yu. P. Razmyslov

Abstract

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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 $N$ ($N\; =\; 1,2,3,$¼).
When $N\; =\; 2$,
a quadratic rolling simplex law is proved by purely algebraic
means.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k114/k11412h.htm

Last modified: July 2, 2012