This book investigates the French construction of the Leibnizian calculus. Contrary to a certain historiography, it shows that Leibniz's methods are integrated in coherence with epistemological conceptions, and that their institutionalization is the fruit of political consensus.
Keyword: Histoire des mathématiques, philosophie des mathématiques, infiniment petit, calcul différentiel, polygone infinitangulaire, Académie royale des sciences, Gottfried Wilhelm Leibniz, Guillaume de L’Hospital, Jean Bernoulli, Pierre Varignon
