quire (n.1) Look up quire at Dictionary.com
early 13c., "set of four folded pages for a book, pamphlet consisting of a single quire," from Anglo-French quier, Old French quaier, from Vulgar Latin *quaternus, from Latin quaterni "four each," from quater "four times." Meaning "standard unit for selling paper" first recorded late 14c.
quire (n.2) Look up quire at Dictionary.com
early form of choir (q.v.).