From Middle English bowe, boȝe, from Old English boga, from Proto-West Germanic *bogō, from Proto-Germanic *bugô. Cognate with West Frisian boge, Dutch boog, German Bogen, Danish bue, Norwegian boge, bue, Swedish båge.
From Middle English bowen, buwen, buȝen, from Old English būgan, from Proto-West Germanic *beugan, from Proto-Germanic *beuganą, from Proto-Indo-European *bʰūgʰ- ("to bend"). Cognate with Dutch buigen, German biegen, Danish bue.
From Middle English bowe, bowgh, a borrowing from Middle Low German bôch and/or Middle Dutch boech, from Proto-Germanic *bōguz, from Proto-Indo-European *bʰeh₂ǵʰus ("arm"). Cognate with Dutch boeg, Danish bov, Swedish bog. bough.