c. 1300, of the eyes, blere "watery, rheumy, sore or dimmed with watery discharge," from or related to blear (v.). Compare Middle High German blerre "having blurred vision," Low German bleeroged "blear-eyed."
adjective suffix, "full of or characterized by," from Old English -ig, from Proto-Germanic *-iga- (source also of Dutch, Danish, German -ig, Gothic -egs), from PIE -(i)ko-, adjectival suffix, cognate with elements in Greek -ikos, Latin -icus (see -ic). Originally added to nouns in Old English; used from 13c. with verbs, and by 15c. even with other adjectives (for example crispy).
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Harper, D. (n.d.). Etymology of bleary. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/bleary