Section 1. General expression of an algebraic function: Part 5

Translated by me as:

If in the expression of v the number of quantities ^n'√ p', ^n''√ p''... is equal to m, we say, that the function is of the μ^th order and the  m^th degree. We see then that a function of order μ and degree 0 is the same as a function of order μ-1 and a function of order 0 is the same as a rational function.


Commentary:


Abel refines the hierarchy of the algebraic functions to include degree, which is a sub-classification of order.