  This paper was published in French under the title \textit{Sur une m\'ethode
d'approximation des racines carr\'ees dans l'Inde ant\'erieurement \`a la
conqu\^ete d'Alexandre}, in the Bulletin de la S. M. F., volume 7 (1879), p.
98-102.
  It argues that the process of approximating the irrational square root of an
integer, now commonly known as Newton's method, was known in India since very
ancient times.
