‎CARNOT (L.N.M.)‎
‎De la corrélation des figures de géométrie -- EDITION ORIGINALE -- BEL EXEMPLAIRE‎

‎P., Crapelet, 1801, un volume in 8 relié en demi-chagrin marron, dos orné de fers dorés, fers doré sur le premier plat, 8pp. (reliure de la deuxième moitié du XIXe siècle), 188pp., 4 PLANCHES dépliantes‎

Reference : 1059

‎---- EDITION ORIGNALE ---- BEL EXEMPLAIRE de prix offert par M. Toussenel, censeur du lycée Condorcet, en 1863 ---- "LE CREATEUR AVEC MONGE DE LA GEOMETRIE MODERNE" ---- "IMPORTANT CONTRIBUTION TO MODERN GEOMETRY". (Cajori) ---- "Carnot's main geometric writings were motivated largely by the attempt to make reasonable the employment of unreasonable quantity in analysis, although with the focus on negative rather than infinitesimal quantity... De la corrélation des figures de géométrie of 1801 and its extension, the Géométrie de position of 1803, constituted his most significant clarification of the procedures of mathematics. Carnot found absurd the notion that a quantity itself could be less than zero... He insisted in Corrélation des figures on distinguishing between a quantity properly speaking and the algebraic value of a function. It was equally unacceptable to interpret the minus sign as meaning simply that a quantity was to be taken in a direction opposite to a positive one... By correlative systems Carnot meant all those that could be considered as different states of a single variable system undergoing gradual transformation. It was not necessary that all correlative systems should actually have been evolved out of the primitive system. It sufficed that they might be assimulated to it by changes involving no discontinuous mutations. The whole topic may be taken as the geometric operation of Carnot's favorite reasoning device - a comparison of systems between which the nexus of change is a continuum...". (DSB III pp. 76/77)**1059/ARM1D+1056/ARM4+1055/ARM4‎