In 1809 he published his great work, Des Compensations dans les destines humaines (5th ed.
[1] In the Compensations he sought to prove that, on the whole, happiness and misery are equally balanced, and therefore that men should accept the government which is given them rather than risk the horrors of revolution.
Force, naturally expansive and operating on the homogeneous atoms which constitute elemental matter, is subject to the law of equilibrium, or equivalence of action and reaction.
Moral and political phenomena are the result of the opposing forces of progress and preservation, and their perfection lies in the fulfilment of the law of equilibrium or universal harmony.
He wrote for the Revue musicale a series of articles entitled Acoustique fondamentale (1831), containing an ingenious, but now exploded, theory of the vibration of the air.