Editing 1762 in science (section)

==Mathematics==
* September – [[The Equitable Life Assurance Society|Society for Equitable Assurances on Lives and Survivorships]] is established in [[London]], pioneering [[mutual insurance]] using a method of [[actuarial science]] devised by mathematician [[James Dodson (mathematician)|James Dodson]].<ref>{{cite web|url=http://www.equitable.co.uk/content/content_7.htm|title=Today & History|publisher=Equitable Life|date=2009-06-26|accessdate=2010-10-20|url-status=dead|archiveurl=https://web.archive.org/web/20090629202114/http://www.equitable.co.uk/content/content_7.htm|archivedate=2009-06-29}}</ref>
* [[Joseph-Louis Lagrange]] discovers the [[divergence theorem]].<ref>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: [https://books.google.com/books?id=3TA4DeQw1NoC&pg=PA151 "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; [https://books.google.com/books?id=3TA4DeQw1NoC&pg=PA263 on pp. 263-265], Lagrange transforms triple integrals into double integrals using integration by parts.</ref>