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," Mélanges de la Soc. Roy.
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