 In a note at the end he shows how Fermat's little theorem, that is

where "p" is a prime and "a" is prime to "p", may be applied to give the complete algebraic solution of any binomial equation.He also here explains how the equation whose roots are the squares of the differences of the roots of the original equation may be used so as to give considerable information as to the position and nature of those roots.The theory of the planetary motions had formed the subject of some of the most remarkable of Lagrange's Berlin papers.