Etymology
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assuage (v.)

"to soften," usually figuratively, of pain, anger, passion, grief, etc., c. 1300, from Anglo-French assuager, Old French assoagier "soften, moderate, alleviate, calm, soothe, pacify," from Vulgar Latin *adsuaviare, from Latin ad "to" (see ad-) + suavis "sweet, agreeable," from PIE root *swād- "sweet, pleasant" (see sweet (adj.)). For sound development in French, compare deluge from Latin diluvium, abridge from abbreviare. Related: Assuaged; assuaging.

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Definitions of assuage

assuage (v.)
cause to be more favorably inclined; gain the good will of;
Synonyms: pacify / lenify / conciliate / appease / mollify / placate / gentle / gruntle
assuage (v.)
satisfy (thirst);
Synonyms: quench / slake / allay
assuage (v.)
provide physical relief, as from pain;
Synonyms: relieve / alleviate / palliate
From wordnet.princeton.edu