filia
τὰ δὲ πεπερασμένα πεπερασμενάκις ἀνάγκη πεπεράνθαι πάντα → and the product of a finite number of things taken in a finite number of ways must always be finite
Latin > English (Lewis & Short)
fīlĭa: ae (
I gen. filiāi, Plaut. Aul. 2, 4, 16 al.; dat. and abl. plur. filiabus, Cato ap. Prisc. p. 733 P.; Liv. 24, 26, 2; Sen. Q. N. 1, 17 fin.; Inscr. Grut. 750, 6; August. C. D. 3, 5; 15, 23; Dig. 30, 15, § 1; 40, 12, 3, § 2; cf. Plin. ap. Charis. p. 103 fin. P.; and filiis, Enn. ap. Prisc. l. l.; Plaut. Stich. 4, 1, 61; id. Poen. 5, 3, 9; Front. Strat. 4, 3, 5; Liv. 38, 57, 2 Drak.; Just. 7, 3, 3; Auct. B. Alex. 33, 2; Aur. Vict. Vir. Ill. 22), f. filius, a daughter: tua reconcilietur uxor, mea necetur filia, Enn. ap. Ruf. § 37 (Trag. v. 267 ed. Vahl.): Numae Pompilii nepos ex filia rex a populo est Ancus Marcius constitutus, Cic. Rep. 2, 18: o matre pulchra filia pulchrior, Hor. C. 1, 16, 1.—In apposition: cum Decimus quidam Verginius virginem filiam ... in foro sua manu interemisset, Cic. Rep. 2, 37: virgo, Ter. Ad. 3, 4, 20; Quint. 9, 2, 70: eam quae nobis adoptione filiae loco esse coeperit, Gai. Inst. 1, 59.—
A In partic.: filia familias, or, in one word, filiafamilias, v. familia. —
B Transf., female offspring, offshoot (poet.): Pontica pinus, Silvae filia nobilis, Hor. C. 1, 14, 12; Mart. 14, 90: filiae Picenae porcae, id. 13, 35: Massilia Graium filia, Paul. Nol. Carm. 21, 305.
Latin > French (Gaffiot 2016)
fīlĭa,⁷ æ, f., fille : Cic., etc. ; virgo filia Pl. Aul. 172 ; Cic. Rep. 2, 63, fille vierge || familias Dig. 1, 64, fille en puissance de père || dat. et abl. filiis : Pl. St. 567 ; Liv. 38, 57, 2 ; -abus Cato Orig. 7, 6 ; Liv. 24, 26, 2.