ON THE GALOIS THEORY OF DIFFERENTIAL EQUATIONS
Keywords:
Action and Reaction, Regular m-Gon, Solvable Quartics.Abstract
The regular n-gon ???????? = 1 may also contain another m-gon ???????? = 1 inscribed in it. Since both
???????? = 1 and ???????? = 1 can imply and ????????+???? = 1 . Then ????????????
???????????? − 1 = 0 and ????????????
???????????? − 1 = 0 as lengths of
the arcs ???????? = 1 and ???????? = 1 respectively, can imply ????????????
???????????? − 1 ????????????
???????????? − 1 = 0 . That is, ???? =
????????+????????
????????????+???? −
????????????
???????????? −
????????????
???????????? + 1 = 0. This article shows the generalized concept of this idea by applying /
introducing the Semigroup (Galois) theory.