Monge contributedđóng góp (1770–1790) to thecho ''Memoirs of the Academy of Turin'', the ''Mémoires des savantes étrangers'' ofcủa theHọc Academyviện ofthuộc Paris, the ''Mémoires'' of the same Academy, and the ''[[Annales de chimie]]'', various mathematical and physical papers. Among these may be noticed the memoir "''Sur la théorie des déblais et des remblais''" (''Mém. de l’acad. de Paris'', 1781), which, while giving a remarkably elegant investigation in regard to the problem of earth-work referred to in the title, establishes in connection with it his capital discovery of the curves of curvature of a surface. [[Leonhard Euler]], in his paper on curvature in the ''Berlin Memoirs'' for 1760, had considered, not the normals of the surface, but the normals of the plane sections through a particular normal, so that the question of the intersection of successive normals of the surface had never presented itself to him. Monge's memoir just referred to gives the ordinary differential equation of the curves of curvature, and establishes the general theory in a very satisfactory manner; but the application to the interesting particular case of the ellipsoid was first made by him in a later paper in 1795. (Monge's 1781 memoir is also the earliest known anticipation of Linear Programming type of problems, in particular of the transportation problem. Related to that, the Monge soil-transport problem leads to a weak-topology definition of a distance between distributions rediscovered many times since by such as [[L. V. Kantorovich]], P. Levy, L. N. Wasserstein, and others; and bearing their names in various combinations in various contexts.) A memoir in the volume for 1783 relates to the production of water by the combustion of [[hydrogen]]; but Monge's results had been anticipated by [[Henry Cavendish]].
