Baiæ, ârum, A towne in Campania, on the sea side, berweene Puteolus, and Misenum, for temperatenesse of ayre, & fairenesse of buylding, much haunted of the auncient Romaing. There are hote waters naturall, both pleafant and wholesome. Therefure it is supposed all other hote Bathes naturall were called Baiæ.
Lewis and Short: Latin dictionary
baia, ae, f. [Copt. bai, whence ba/i+s], a palm-branch, Hier. Jovin. 3, 18.
Bāiae (dissyl.), ārum, f., = *bai=(ai, a small town in Campania, on the coast between Cumœ and Puteoli, a favorite resort of the Romans on account of its warm baths and pleasant situation; acc. to the fable, built by one of the companions of Ulysses (Serv. ad Verg. A. 3, 441; cf. Strabo, 5, p. 376): homo durus ac priscus invectus est in eos, qui mense Aprili apud Balas essent et aquis calidis uterentur, Cic. Fragm. in Clod. 4, 1; id. Fam. 9, 12; Prop. 1, 11, 1; 1, 11, 27; 3 (4), 18, 2; Hor. C. 2, 18, 20; 3, 4, 24; id. Ep. 1, 1, 83; 1, 15, 2 sqq.; 1, 15, 12; Sen. Ep. 56, 1 sqq.; also called Aquae Cumanae, Liv. 41, 16, 3.—Adj.: Baiae aquae, Prop. 1, 11, 30.—B.Meton., for any wateringplace, Cic. Cael. 16, 38; so id. ib. 15, 35; 20, 47; 20, 49; Mart. 10, 13, 3; so Tib. 3, 5, 3 Huschk.—II. Deriv.: Baiānus, a, um, adj., belonging to Baiœ, of Baiœ, Baian: sinus, Plin. 2, 103, 106, 227: lacus, id. 14, 6, 8, 61: negotia, Cic. Att. 14, 8, 1: murex,
from the sea-coast
, Hor. S. 2, 4, 32: soles, Mart. 6, 43: Lucrinus,
the Lucrine lake
,
situated near Baiœ
, id. 13, 82 al.—B.Subst.: Baiānum, i, n., the region of Baiœ, the Baian territory, Varr. R. R. 3, 17, 9; Plin. 9, 8, 8, 24; 9, 54, 79, 168.