HISTORV* OF ALGEBRA.

^RACT 35.

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thematical Memoirs. All containing good improvements ininfinite series, &c.

In 1770 was published, in the German language, Ele-ments of Algebra by M. Euler. And in 1774 a French translation of the same. The memoirs of Berlin and Pe-tersburg academies also abound with various improvementsin series and other branches of analysis by this great mail.

In 1775 ivas published at Bologna , in 2 vols. 4to, Com-peiulio d’Analisi Girolamo Saladini.

In 1797 was published, by Signor Cossali, in the Italianlanguage; in 2 vols. 4to, a very elaborate history of theorigin of the first introduction of algebra into Italy , andOf its progress and more early improvements among hiscountrymen. In this work, the author clearly shows, whathowever was well known long before, that the science wasimported into Italy from the Arabians ; but he seems errone-ously to ascribe the very invention of algebra to these latterpeople.; from his ignorance of the late discoveries latelymade of the writings on this science among the Hindus .

Besides the foregoing, there have been many other au-thors who have given treatises on Algebra , or who havemade improvements on series and other parts of Algebra ;as Schonerus, Coignet , Salignat, Laloubere, Hemischius,Degraave, Mescher, Henischius, Roberval, the Bernoullis,Malbranche, Agnesi, Wells, Dodson, Manfredi, Begnault,Bezout , Bossut, Kowning, Maseres, Waring, Lorgna, dela Grange, de la Place, Bertrand, Kuhnius, Hales,' andmany other authors. Dr. Waring and the Rev. M. Vince,of Cambridge, have both given many improvements anddiscoveries in series, and in other branches of analysis.Those of Mr. Vince are chiefly contained in the latter vo-lumes of the Philos. Trans.; where also are several of Dr.Waring’s ; but the bulk of this gentleman’s improvementsare contained in his separate publications, particularly theMeditationes Algebraic# published in 1770; the Proprie-tales AIgebraicarum Curvarum , in 1772; and the Medita-tiones Analytic#, in 1776.

VOL. II.

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