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On a tâché de faire disparaitre dans cette seconde Édition la plus grande partie des imperfections ou même des erreurs qui étaient restées dans la premiére, malgré les soins qu᾽on j avait apportés. Les changemens sont tels, qu᾽une moitié environ du yolume est devenue un ouvrage noirveau.
L᾽Introduction a été refondue presqu7'en entier, et corrigée d᾽une erreur qui s᾽etait glissee dans les derniers articles.
La premiére partie a été augmentée de quelques Théorémes sur les équations indetérminées, etd᾽une Méthode nouyelle pour l᾽approximation des racines imaginaires.
Dans la deuxiéme partie la démonstration de la loi de réciprocité, entre deux nombres premiers, a été perfectionnée ὰ quelques égards.
La théorie contenue dans la troisiéme partie a été présentée d᾽une maniére nouvelle et entiérement rigoureuse.
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