*ad-

c. 1300, abaten, "put an end to" (transitive); early 14c., "to grow less, diminish in power or influence" (intransitive); from Old French abatre "beat down, cast down, strike down; fell, destroy; abolish; reduce, lower" (Modern French abattre), from Vulgar Latin *abbatere, from Latin ad "to" (see ad-) + battuere "to beat" (see batter (v.)). The French literal sense of "to fell, slaughter" is in abatis and abattoir. Related: Abated; abating.

Latin phrase, "to this, with respect to this, for this (specific purpose)," from ad "to" (see ad-) + hoc, neuter accusative of hic "this." Hence, "appointed or enacted for some particular purpose" (1879).