τρίγωνος: Difference between revisions

|Definition=[ῐ], ον,<br><span class="bld">A</span> [[three-cornered]], [[triangular]], <b class="b3">τὴν τ. ἐς χθόνα Νειλῶτιν</b>, of the Delta, A.''Pr.''813; τ. ῥυθμοί Id.''Fr.''78; βάσεις Pl.''Ti.''55b; of the hearts of certain fish, Arist.''Frr.''314,330,333; of Sicily, Plb.1.42.3; of Britain, Str.4.5.1.<br><span class="bld">2</span> <b class="b3">ἀριθμοὶ τρίγωνοι</b>, [[triangular]] [[number]]s, are those whose units can be disposed in a triangle, as 3 †, 6 †, etc., being represented by the formula n(n + ''1'')/2, Plu.2.1003f, cf. Nicom.''Ar.''2.8; these numbers are also called [[triangle]]s ([[τρίγωνοι]]), Plu. 2.744b.<br><span class="bld">3</span> Astrol., [[in triangular]] or [[trine aspect]], of planets when there are three signs of the zodiac between them, so that they are at the apices of an equilateral triangle, S.E.''M.''5.39, Plot.2.3.4; τ. σχηματισμοί Ptol.''Tetr.''35, cf. Man.3.344.<br><span class="bld">II</span> as [[substantive]], [[τρίγωνον]], τό, [[triangle]], Ti.Locr.98a, Pl.''Ti.''50b, etc.<br><span class="bld">2</span> [[a musical instrument of triangular form]], with strings of equal thickness but unequal lengths, Eup.77, Pl.Com.69.13, [[Plato|Pl.]]''[[Republic|R.]]'' 399c, Arist.''Pol.''1341a41, Diog.Ath.1.9; called <b class="b3">τ. ψαλτήρια</b> in Arist.''Pr.''919b12:—also as masc., πολὺς δὲ Φρὺξ τρίγωνος S.''Fr.''412, cf. Ath.4.183e.<br><span class="bld">3</span> [[one of the Athenian lawcourts]], Din.''Fr.''89.35, Lycurg.''Fr.''10, Men.1076, Paus.1.28.8, Poll.8.121.<br><span class="bld">4</span> the constellation [[Triangulum]], Eudox. ap. Hipparch.1.2.13.<br><span class="bld">5</span> <b class="b3">τρίγωνος, ἡ,</b> name of a [[lozenge]], Orib.''Syn.''3.183; as masc., Paul.Aeg.7.12.