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- These papers are chiefly geometrical, many of them being developments and applications of the methods laid down in his great work, Der barycentrische
**Calcul**(Leipzig, 1827), which, as the name implies, is based upon the properties of the mean point or centre of mass (see Algebra: Universal). - In 1741 he received his first public distinction in being admitted a member of the Academy of Sciences, to which he had previously presented several papers, including a Memoire sur le
**calcul**integral (1739). - In 1746 and 1748 he published in the Memoirs of the Academy of Berlin "Recherches sur le
**calcul**integral," a branch of mathematical science which is greatly indebted to him. - Besides the separate works already named are Resolution des equations numeriques (1798, 2nd ed., 1808, 3rd ed., 1826), and Lecons sur le
**calcul**des fonctions (1805, 2nd ed., 1806), designed as a commentary and supplement to the first part of the Theorie des fonctions. - The analytical tournament closed with the communication to the Academy by Laplace, 1 "Recherches sur le
**calcul**integral," MÃ©langes de la Soc. Roy.