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τετράγωνος

τετράγωνος, with four equal angles, rectangular

τετράγων-ος [ᾰ], ον,
  • with four angles, but usu. square, Hdt. 1.178, 181, 2.124, Hp. Fract. 13; δοκοὶ τ. squared, Th. 4.112; ξύλα τ. IG 1(2).313.101, 4(2)(1).108.162, al. (Epid., iv/iii B.C.); τ. ἐργασία, of the Hermes-statues, Th. 6.27; πρόσωπον -ότερον Arist. Phgn. 809b16; κύκλος τετράγωνος ταῖς ἐπιφανείαις a ring with four surfaces, the breadth of the outer and inner equal to the depth of the two sides, Ptol. Alm. 5.1 (with the commentary of Procl. Hyp. 6.3).
      • 2 τὸ τ. a square, Pl. R. 510d, and freq. in Geom., but sts. of any quadrilateral, Arist. Metaph. 1054b2, cf. Hero *Deff. 100, Procl. in Euc. p.166 F.
        • b in Tactics, a body of men drawn up in square, X. Lac. 12.1; τ. τάξις Th. 4.125.
      • 3 τ. ἀριθμός a square number, i.e. a number made up of two equal factors, Pl. Tht. 147e, Phld. Sign. 1, 15.
      • 4 in quartile aspect, Gem. 2.16, Max. 446, Procl. Hyp. 1.16.
    • II metaph., square, i.e. perfect as a square, χερσί τε καὶ ποσὶ καὶ νόῳ τετράγωνος τετυγμένος Simon. 5.2; τὸν ἀγαθὸν ἄνδρα φάναι τετράγωνον Arist. Rh. 1411b27, cf. EN 1100b21.
    • III ἱμάτιον τ., of the χλαῖνα which hung square, while the χλαμύς took a circular form, Id. Fr. 500; contrasted with the ἡμικύκλιον formed by the Roman toga, Posidon. 36 J., App. BC 5.11.
      • 2 οἱ ἔμποροι καὶ οἱ τὴν τ. ἐργαζόμενοι perh. those who trade in the ἀγορὰ τετράγωνος, Durrbach Choix dʼInscrr. de Délos 138.
    • IV Adv. -νως Philostr. VA 7.42.

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