In this work, Lagrange developed the principle from which the whole of solid and fluid mechanics can be derived.In the two-volume M?canique analytique, sometimes claimed to be the most important book on classical mechanics since Newton, Lagrange developed the law of virtual work, from which single principle the whole of solid and fluid mechanics can be derived.In the two-volume M?canique analytique, sometimes claimed to be the most important book on classical mechanics since Newton, Lagrange developed the law of virtual work, from which single principle the whole of solid and fluid mechanics can be derived.Joseph-Louis Lagrange (17361813), one of the notable French mathematicians of the Revolutionary period, is remembered for his work in the fields of analysis, number theory and mechanics. Like Laplace and Legendre, Lagrange was assisted by d'Alembert, and it was on the recommendation of the latter and the urging of Frederick the Great himself that Lagrange succeeded Euler as the director of mathematics at the Prussian Academy of Sciences in Berlin. The two-volume M?canique analytique was first published in 1788; the edition presented here is that of 181115, revised by the author before his death. In this work, claimed to be the most important on classical mechanics since Newton, Lagrange developed the law of virtual work, from which single principle the whole of solid and fluid mechanics can be derived.Part II. La dynamique (continued).