An Etymological Dictionary of the German Language/Annotated/satt
satt, adjective, ‘sated, satiated,’ from the equivalent Middle High German and Old High German sat (genitive sates), adjective; corresponding to the equivalent Old Saxon sad, Anglo-Saxon sœd, ‘sated’ (English sad), Old Icelandic saðr (saddr), Gothic saþs, ‘sated.’ A Teutonic participle, in -da- (see laut and falt) connected with an Aryan root sā̆, ‘to satiate,’ from whose long vowel form Gothic sô-þjan, ‘to satisfy,’ and sô-þs, ‘repletion,’ are constructed. Compare Latin sat, satis, satur; Lithuanian sōtas, masculine, ‘repletion,’ sōtus, ‘satiating, easily satiated’; Greek ἄμεναι (ā), ‘to satiate,’ ἄ-ατος, ‘insatiable,’ and ἄ-δην, ‘sufficiently’; Old Irish sathach, ‘sated,’ súsaim, ‘to sate, satiate,’ sáith, ‘repletion’ (Old Slovenian sytŭ, ‘sated,’ is, on account of its vowel, not allied). The meaning of English sad is curiously developed from the idea expressed by satt.