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The Collaborative International Dictionary
Reef-band

Reef-band \Reef"-band`\ (r[=e]f"b[a^]nd`), n. (Naut.) A piece of canvas sewed across a sail to strengthen it in the part where the eyelet holes for reefing are made.
--Totten.

Wiktionary
reef-band

n. (context nautical English) A piece of canvas sewn across a sail to strengthen it in the part where the eyelet holes for reefing are made.