Pierre Varignon, Malebranchiste ?
摘要
Pierre Varignon has sometimes been considered as a member of the “malebranchist group”: this term refers to a group of scientists grouped around Nicolas Malebranche and whose activity was directed towards the dissemination of the calculus in France. However, his links with this group of mathematicians have not often been studied in detail : were they limited to the promotion of the Leibnizian calculus, and if so, to which audience? We propose to examine this question by focusing in particular on the role played by Varignon in the publication of the Analyse démontrée by the oratorian Charles Reyneau and by trying to determine the influence of the former on the latter in the writing of this book. This perspective allows us to highlight the common ideas on which the two mathematicians based their conceptions of the calculus and its novelty, but also the differences concerning the analytical treatment of instantaneous velocity in particular, and, more generally, to the use of the infinitesimal analysis in relation to mechanical hypotheses. Varignon thus appears in an obvious proximity to the malebranchists but also committed to a more analytical conception of mechanics than they were.