<title> ABSTRACT </title>In late November 1831 Guglielmo Libri, exile from Tuscany, arrived in Paris. There he found almost all the friends from his two previous Parisian sojourns in 1825 and 1830. His friends did their utmost to help him, particularly to procure him an academic position. The first opportunity occurred one year later when he became J.-B. Biot's substitute at the Collège de France.At this time Libri was absorbed in doing research for his masterwork, the Histoire des Sciences Mathématiques en Italie, which would be published in four volumes between 1835 and 1841. So he flanked his mathematical physics lessons, with a short course of history of science.Through the teacher's manuscript notes preserved at the Biblioteca Moreniana in Florence, it has been possible to piece together Libri's course, which represents the first "publication" of his researches in the field and the first history of mathematical sciences course at the Collège de France.