LAGRANGE, Joseph Louis. Méchanique analytique.
Paris, Veuve Desaint, 1788
First edition of Lagrange’s masterpiece. Wolff: “perhaps the most beautiful mathematical treatise in existence.” "La Mécanique analytique" was an extension of Newton’s work on mechanics. In it, Lagrange shaped theoretical mechanics into a system from which the fundamental equations describing the motion of any system of bodies could be derived. To achieve this goal, Lagrange combined the principle of virtual velocities with d’Alembert’s principle. In doing so, he formulated the principle of virtual velocities as applied to mechanics. In his preface, Lagrange draws attention to the absence of diagrams in the book, which, in his view, the clarity of his presentation had rendered superfluous. DSB: “in that field to general formulas, the mere development of which would yield all the equations necessary for the solution of every problem... [it] united and presented from a single point of view the various principles of mechanics, demonstrated their connection and mutual dependence, and made it possible to judge their validity and scope.”
Heralds, 112; Kline 493; Norman 1257, Dibner 112; Horblit 61; Parkinson p. 216. Cfr. Sparrow, Milestones of Science, 120 (plate 105); Wolf, History of science... in the eighteenth century, pp. 69-70.
In 4to. 255x195 mm. Contemporary in marbled calf binding, spine with ribs and gilt decorations, marbled end papers, red edges. Pages XII, including Half Title and Title page, 512. Modern handwritten ex libris on the half title “Tramont”; On the flyleaf opposite to half title there is a handwritten inscription “Offert a la societè par M. de Tramont.” Slight damage to the binding; the interior is in fresh condition with wide margins.