Lewis & Short

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Bŏii, ōrum, m., = Βοῖοι Polyb., Βόϊοι Strab., a people in Gallia Lugdunensis, now the Bourbonnais, Départ. de l’Allier, Caes. B. G. 1, 5; 1, 25; 1, 28; Liv. 5, 35, 2 et saep.; Plin. 4, 18, 32, § 107; 3, 15, 20, § 116; Tac. G. 28; their chief town, or, acc. to others, their country, was Boia, ae, f., Caes. B. G. 7, 14.
A part of the Boii went to Upper Italy, and occupied the region of the present Parma and Modena, Plin. 3, 17, 21, § 124; Liv. 5, 34 sqq.; 10, 26 sqq.; Front. Strat. 1, 2, 7.
Hence, Boicus ager dicitur, qui fuit Boiorum Gallorum. Is autem est in Galliă citra Alpes, quae togata dicitur, Fest. p. 30.
In Germany also they established themselves, and were called there Boiemi, Bohemi or Boihemi, or, by collective term, Boihaemum, i (Halm), the present Bohemians, Tac. G. 28; cf. Vell. 2, 109, 3.
In sing.: Boia, ae, f., a woman of the Boii, in a pun with boia, the sing. of boiae: Boius est, Boiam terit, Plaut. Capt. 4, 2, 108.