E268 -- Lettre de M. Euler à M. de la Grange
(Letter of Mr. Euler to Mr. de Lagrange)
Originally published with the full title: Lettre de M. Euler à M. de la Grange… Recherches dur la propogation des ébranlemens
dans une (!) milieu élastique.
(based on Clifford A. Truesdell's introduction to Opera Omnia Series II, Volume 12)
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).
Originally published in Melanges de philosophie et de la mathematique de la societe royale de Turin 2, 1762, pp. 1-10
Opera Omnia: Series 2, Volume 10, pp. 255 - 263
- Reprinted in Opera Postuma 1, 1862, p. 561 (only the beginning and end) [E268a]
- Reprinted in Oeuvres de Lagrange 14, Paris 1892, pp. 178-188 (complete, but with the incorrect
date “1er juin 1760”) [E268b]
- Original publication (the Euler Archive would like to thank the Academy
of Sciences of Torino for these images):
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