τετράγων-ος [ᾰ], ον,
with four angles, but usually square, [[ 5th c.BC: Herodotus Historicus 1.178, 181, 2.124, 5th c.BC: Hippocrates Medicus “περὶ ἀγμῶν” 13 ] Refs 5th c.BC+]; δοκοὶ τ. squared, [[ 5th c.BC: Thucydides Historicus 4.112 ] Refs 5th c.BC+]; ξύλα τ. [[ “IG” 12.313.101, 42(1).108.162, +others (Epid., 4th-3rd c.BC)] Refs 4th c.BC+]; τ. ἐργασία, of the Hermes-statues, [[ 5th c.BC: Thucydides Historicus 6.27; πρόσωπον -ότερον 4th c.BC: Aristoteles Philosophus “Physiognomonica” 809b16 ] Refs 5th c.BC+]; κύκλος τετράγωνος ταῖς ἐπιφανείαις a ring with four surfaces, the breadth of the outer and inner equal to the depth of the two sides, [[ 1st c.BC: Ptolemaeus Epigrammaticus “Alm.” 5.1 (with the commentary of 5th c.AD: Proclus Philosophus “Hypotyposis astronomicarum positionum” 6.3). ] Refs 1st c.BC+]
__2 τὸ τ. a square, [[ 5th-6th c.BC: Plato Philosophus “Respublica” 510d ] Refs 5th c.BC+], and frequently in Geometry texts, but sometimes of any quadrilateral, [[ 4th c.BC: Aristoteles Philosophus “Metaphysica” 1054b2, compare 2nd-1st c.BC(?): Hero Mechanicus ] Refs 4th c.BC+] “*Deff.” 100, [[ 5th c.AD: Proclus Philosophus “in primum Euclidis librum commentarius” p.166 F. ] Refs 5th c.AD+]
__2.b in Tactics, a body of men drawn up in square, [[ 5th-6th c.BC: Xenophon Historicus “Respublica Lacedaemoniorum” 12.1; τ. τάξις 5th c.BC: Thucydides Historicus 4.125. ] Refs 5th c.BC+]
__3 τ. ἀριθμός a square number, i.e. a number made up of two equal factors, [[ 5th-6th c.BC: Plato Philosophus “Theaetetus” 147e, 1st c.BC: Philodemus Philosophus “περὶ σημείων καὶ σημειώσεων” 1, 15. ] Refs 5th c.BC+]