Yours, Etc.: Origins and Uses of 8 Sign-Offs
1590s, a legal term, "to annul, do away with," from Middle French elider (16c.), from Latin elidere "strike out," from ex- "out" (see ex-) + -lidere, comb. form of laedere "to strike." Phonological sense is first recorded 1796. Related: Elided; eliding.