Etymology
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sate (v.)

"to satisfy, fill full, surfeit," c. 1600, probably an alteration (by influence of Latin satiare "satiate") of Middle English saden "become weary or indifferent; satiate," from Old English sadian "to satiate, fill; be sated, get wearied" (see sad (adj.)), ultimately from PIE root *sa- "to satisfy." Related: Sated; sating.

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Definitions of sate

sate (v.)
fill to satisfaction;
I am sated
Synonyms: satiate / replete / fill
From wordnet.princeton.edu