Letter of Mr. Euler to Mr. de la Grange
This is a thorough abstract of the second of Euler's two great memoirs on the theory of sound. It served to establish his priority in the "discovery and publication of the material description for the motion of a continuum, in which the initial coordinates X, Y, and Z of the particles are taken, along with time, as independent variables." He shows that the complete history of the motion of the continuum is given by the functional equations x = f(X, Y, Z, t), y = g(X, Y, Z, t), z = h(X, Y, Z, t). (Based on Clifford Truesdell's introduction to Opera Omnia Series II, Volume 12.)
Original Source Citation
Melanges de philosophie et de la mathematique de la societe royale de Turin, Volume 2, pp. 1-10.
Opera Omnia Citation
Series 2, Volume 10, pp.255-263.