τρίγωνος: Difference between revisions

|Definition=[ῐ], ον, <span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">A</span> [[three-cornered]], [[triangular]], <b class="b3">τὴν τ. ἐς χθόνα Νειλῶτιν</b>, of the Delta, <span class="bibl">A.<span class="title">Pr.</span>813</span>; τ. ῥυθμοί <span class="bibl">Id.<span class="title">Fr.</span>78</span>; βάσεις <span class="bibl">Pl.<span class="title">Ti.</span>55b</span>; of the hearts of certain fish, <span class="bibl">Arist.<span class="title">Frr.</span>314</span>,<span class="bibl">330</span>,<span class="bibl">333</span>; of Sicily, <span class="bibl">Plb.1.42.3</span>; of Britain, <span class="bibl">Str.4.5.1</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<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 <span class="bibl">3</span> &lt;*&gt;, <span class="bibl">6</span> &lt;*&gt;, etc., being represented by the formula <b class="b2">n(n</b> + <span class="bibl">1</span>)/<span class="bibl">2</span>, Plu.2.1003f, cf. <span class="bibl">Nicom.<span class="title">Ar.</span>2.8</span>; these numbers are also called [[triangle]]s (τρίγωνοι), Plu. 2.744b. </span><span class="sense">&nbsp;&nbsp;&nbsp;<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, <span class="bibl">S.E.<span class="title">M.</span>5.39</span>, <span class="bibl">Plot.2.3.4</span>; τ. σχηματισμοί <span class="bibl">Ptol.<span class="title">Tetr.</span>35</span>, cf. <span class="bibl">Man.3.344</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">II</span> as Subst., [[τρίγωνον]], τό, [[triangle]], <span class="bibl">Ti.Locr.98a</span>, <span class="bibl">Pl.<span class="title">Ti.</span>50b</span>, etc. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">2</span> [[a musical instrument of triangular form]], with strings of equal thickness but unequal lengths, <span class="bibl">Eup.77</span>, <span class="bibl">Pl.Com.69.13</span>, <span class="bibl">Pl.<span class="title">R.</span>399c</span>, <span class="bibl">Arist.<span class="title">Pol.</span>1341a41</span>, <span class="bibl">Diog.Ath.1.9</span>; called <b class="b3">τ. ψαλτήρια</b> in <span class="bibl">Arist.<span class="title">Pr.</span>919b12</span>:—also as masc., πολὺς δὲ Φρὺξ τρίγωνος <span class="bibl">S.<span class="title">Fr.</span>412</span>, cf. <span class="bibl">Ath.4.183e</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">3</span> [[one of the Athenian lawcourts]], <span class="bibl">Din.<span class="title">Fr.</span>89.35</span>, <span class="bibl">Lycurg.<span class="title">Fr.</span>10</span>, <span class="bibl">Men.1076</span>, <span class="bibl">Paus.1.28.8</span>, <span class="bibl">Poll.8.121</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">4</span> the constellation [[Triangulum]], Eudox. ap. <span class="bibl">Hipparch.1.2.13</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">5</span> <b class="b3">τρίγωνος, ἡ,</b> name of a [[lozenge]], <span class="bibl">Orib.<span class="title">Syn.</span>3.183</span>; as masc., <span class="bibl">Paul.Aeg.7.12</span>.</span>