Section 1. General expression of an algebraic function: Part 3

 

Translated by me as:

So in designating μ as the order of the algebraic function v

                                                    v = f(r', r''...^n'√ p', ^n''√ p''...)

where  p', p'' are functions of order μ-1; r', r'' ... are functions of order μ-1 or lower and n', n'' ... are prime integers. f always signifies a rational function of the quantities between the brackets. 

Commentary:

Abel shows how to determine the order of an algebraic function