Bulge

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Middle English: from Old French boulge, from Latin bulga (see budget). The original meaning was ‘wallet or bag’, later ‘a ship's bilge’ (early 17th century); other senses presumably derived from association with the shape of a full bag.

wiktionary

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From Middle English bulge(“leather bag; hump”), from Old Northern French boulge(“leather bag”), from Late Latin bulga(“leather sack”), from Gaulish *bulga, *bulgos, from Proto-Celtic *bolgos(“sack, bag, stomach”). Cognate with bilge, belly, bellows, budget, French bouge, German Balg, etc. Doublet of budge. See also budget.

etymonline

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bulge (n.)

c. 1200, "a wallet, leather bag," from Old French bouge, boulge "wallet, pouch, leather bag," or directly from Latin bulga "leather sack," from PIE *bhelgh- "to swell," extended form of root *bhel- (2) "to blow, swell." Sense of "a swelling, a rounded protuberance" is first recorded 1620s. Bilge (q.v.) might be a nautical variant. Meaning "bulging part of a military front" is from 1916.

bulge (v.)

"to protrude, swell out," 1670s, from bulge (n.). Related: Bulged; bulging.