τετράγωνος

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English (LSJ)

[ᾰ], ον,

   A with four angles, but usu. square, Hdt.1.178, 181, 2.124, Hp.Fract.13; δοκοὶ τ. squared, Th.4.112; ξύλα τ. IG12.313.101, 42(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. EN1100b21.    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 d'Inscrr. de Délos 138.    IV Adv. -νως Philostr.VA7.42.