Etymology
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Words related to abate

ad- 

word-forming element expressing direction toward or in addition to, from Latin ad "to, toward" in space or time; "with regard to, in relation to," as a prefix, sometimes merely emphatic, from PIE root *ad- "to, near, at."

Simplified to a- before sc-, sp- and st-; modified to ac- before many consonants and then re-spelled af-, ag-, al-, etc., in conformity with the following consonant (as in affection, aggression). Also compare ap- (1).

In Old French, reduced to a- in all cases (an evolution already underway in Merovingian Latin), but written forms in French were refashioned after Latin in 14c. and English did likewise 15c. in words it had picked up from Old French. In many cases pronunciation followed the shift. Over-correction at the end of the Middle Ages in French and then English "restored" the -d- or a doubled consonant to some words that never had it (accursed, afford). The process went further in England than in France, where the vernacular sometimes resisted the pedantic, resulting in English adjourn, advance, address, advertisement (Modern French ajourner, avancer, adresser, avertissement). In modern word-formation sometimes ad- and ab- are regarded as opposites, but this was not in classical Latin.

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batter (v.)
"strike repeatedly, beat violently and rapidly," early 14c., from Old French batre "to beat, strike" (11c., Modern French battre "to beat, to strike"), from Latin battuere, batuere "to beat, strike," a rare word in literary Latin but evidently an old one and popular in Vulgar Latin. Probably borrowed from Gaulish (compare Welsh bathu "beat," Irish and Gaelic bat, bata "staff, cudgel") and perhaps from PIE root *bhau- "to strike." (source also of Welsh bathu "beat;" Old English beadu "battle," beatan "to beat," bytl "hammer, mallet").

The word began to be widely used in reference to domestic abuse in 1962. Related: Battered; battering. Battering-ram is an ancient weapon (Latin aries), but the phrase is attested only from 1610s.
abatis (n.)
"barricade defense made of felled trees with the branches angled outward," 1766, from French abatis, literally "things thrown down," from Old French abateiz "a casting down; slaughter, carnage" (12c.), from abatre "to beat down, throw down" (see abate).
abattoir (n.)
"slaughterhouse for cows," 1820, from French abattre in its literal sense "to beat down, knock down, slaughter" (see abate) + suffix -oir, corresponding to Latin -orium, indicating "place where" (see -ory).
abatement (n.)
"act or state of being decreased or mitigated" in some way, mid-14c., from Old French abatement "overthrowing; reduction," from abatre "strike down; reduce" (see abate). Now mostly in the legal sense "destruction or removal of a nuisance, etc." (1520s).
*ad- 
Proto-Indo-European root meaning "to, near, at."

It forms all or part of: abate; ado; ad-; ad hoc; ad lib; adage; adagio; add; adjective; adore; adorn; adult; adverb; advertise; agree; aid; alloy; ally; amontillado; amount; assure; at; atone; exaggerate; paramount; rapport; twit.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit adhi "near;" Latin ad "to, toward;" Old English æt.
bate (v.1)
c. 1300, "to alleviate, allay;" mid-14c., "suppress, do away with;" late 14c., "to reduce; to cease," a shortening of abate (q.v.). Now only in phrase bated breath (subdued or shortened breathing, from fear, passion, awe, etc.), which was used by Shakespeare in "The Merchant of Venice" (1596).
rebate (v.)

late 14c., rebaten, "to reduce, diminish;" early 15c., "to deduct, subtract," from Old French rebatre, rabatre, rabattre "beat down, drive back," also "deduct," from re-, "back," or perhaps "repeatedly" (see re-) + abattre "beat down" (see abate).

Original senses now are obsolete. The meaning "to pay back (a sum) as a rebate" is from 1957 and might be from rebate (v.). Related: Rebated; rebating.

unabated (adj.)
1610s, from un- (1) "not" + past participle of abate (v.).