τετραρχ-ία · tetrarch-ia — LSJ
tetrarchy, the province of a tetrarch
tetrarchy, the province of a tetrarch, esp. of Thessaly, the four provinces being Thessaliotis, Phthiotis, Pelasgiotis, Hestiaeotis, Hellanic. 52J., E. Alc. 1154, D. 9.26, Theopomp.Hist. 201; also of the four divisions of each of the three Galatian tribes, Str. 12.5.1; ἡ τῶν δώδεκα τ. βουλή v.l. ibid.; cf. τετράς II.
2 tetrarchiae regnorum instar singulae
generally, of the divisions of Roman protectorates, e.g. Palestine under Augustus, J. BJ 2.6.3; districts adjacent to Syria, tetrarchiae regnorum instar singulae, Plin. HN 5.74.
II the command of four λόχοι
τ. ἱππική the command of four λόχοι, Arr. An. 3.18.5, cf. Id. Tact. 10.1, Ael. Tact. 9.2, Ascl. Tact. 2.8; Φιλίππου τετραρχίας ἔργον monument erected by Philipʼs τ., IG 9(1).316 (Scarphea, Locr. Orient., iv B.C.).