SUMMARY. — The various political and intellectual forces of the French Revolution all provided many projects for a new system of education. Whereas Universities were left aside, a rather pecular organization attuned to scientific development finally emerged foreshadowing the existing french ' Grandes Ecoles '. A good example is given by the Ecole Normale, which took place in 1795, providing a sort of in-service training in higher education to all kinds of teachers. The study of the lessons taught at this prestigious institution — and particularly of the mathematical lessons from Lagrange, Laplace and Monge — , with a closer view at the ideological divergences concerning the role being assigned to Science, supplies us with a snapshot of scie...