^In his 1762 paper on sound, Lagrange treats a special case of the theorem: Lagrange (1762) "Nouvelles recherches sur la nature et la propagation du son" (New researches on the nature and propagation of sound),Miscellanea Taurinensia (also known as:Mélanges de Turin ),2: 11-172. This article is reprinted as:"Nouvelles recherches sur la nature et la propagation du son" in: Serret, J. A., ed.,Oeuvres de Lagrange (Paris: Gauthier-Villars, 1867),1: 151-316;on pp. 263-265, Lagrange transforms triple integrals into double integrals using integration by parts.
