Pierre de Fermat developed the technique of
adequality (
adaequalitas in
Latin) to calculate
maxima and minima of functions,
tangents to curves,
area,
center of mass,
least action, and other problems in
mathematical analysis. According to
André Weil, Fermat "introduces the technical term adaequalitas, adaequare, etc., which he says he has borrowed from
Diophantus. As Diophantus V.11 shows, it means an approximate equality, and this is indeed how Fermat explains the word in one of his later writings." (Weil 1973). Diophantus coined the word παρισὀτης (
parisotēs) to refer to an approximate equality.
Claude Gaspard Bachet de Méziriac translated Diophantus's Greek word into Latin as
adaequalitas.
Paul Tannery's French translation of Fermat’s Latin treatises on maxima and minima used the words
adéquation and
adégaler.