Note on a Proposition given by Jacobi in his “De determinantibus functionalibus.”

Extract

(1) The proposition in question is stated as follows:— “Ponamus (enim) inter quantitates, x, x₁, …, x_ndatas esse totidem aequationes

in quibus α, α₁ … sint Constantes: dico Determinans

non mutare valorem si functiones f, f₁, …, f_n varias subeant mutationes quales per aequationes propositas subire possunt, ita tamen ut funetioni alicui f_i transmutandae non ipsa adhibeatur aequatio f₁ = a_j.”