Editing 1770 in science (section)

==Mathematics==
* French mathematician and political scientist [[Jean-Charles de Borda]] formulates the ranked preferential [[electoral system]] which becomes known as the [[Borda count]].
* [[Joseph Louis Lagrange|Lagrange]] discusses representations of integers by general algebraic forms; produces a tract on [[elimination theory]]; publishes his first paper on the general process for solving an [[algebraic equation]] of any degree via ''Lagrange [[Resolvent (Galois theory)|resolvents]] ''; and proves [[Bachet]]'s theorem that [[Lagrange's four-square theorem|every positive integer is the sum of four squares]].