τρίγωνος: Difference between revisions

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Menander, Monostichoi, 198
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|Beta Code=tri/gwnos
|Beta Code=tri/gwnos
|Definition=[ῐ], ον, <span class="sense"><p>&nbsp;&nbsp;&nbsp;<span class="bld">A</span> <b class="b2">three-cornered, triangular</b>, <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>, <b class="b2">triangular</b> numbers, 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 <b class="b2">triangles</b> (τρίγωνοι), Plu. 2.744b. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">3</span> Astrol., <b class="b2">in triangular</b> or <b class="b2">trine aspect</b>, 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., <b class="b3">τρίγωνον, τό,</b> <b class="b2">triangle</b>, <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> <b class="b2">a musical instrument of triangular form</b>, 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> <b class="b2">one of the Athenian lawcourts</b>, <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 <b class="b2">Triangulum</b>, 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 <b class="b2">lozenge</b>, <span class="bibl">Orib.<span class="title">Syn.</span>3.183</span>; as masc., <span class="bibl">Paul.Aeg.7.12</span>.</span>
|Definition=[ῐ], ον, <span class="sense"><p>&nbsp;&nbsp;&nbsp;<span class="bld">A</span> <b class="b2">three-cornered, triangular</b>, <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>, <b class="b2">triangular</b> numbers, 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 <b class="b2">triangles</b> (τρίγωνοι), Plu. 2.744b. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">3</span> Astrol., <b class="b2">in triangular</b> or <b class="b2">trine aspect</b>, 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., <b class="b3">τρίγωνον, τό,</b> <b class="b2">triangle</b>, <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> <b class="b2">a musical instrument of triangular form</b>, 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> <b class="b2">one of the Athenian lawcourts</b>, <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 <b class="b2">Triangulum</b>, 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 <b class="b2">lozenge</b>, <span class="bibl">Orib.<span class="title">Syn.</span>3.183</span>; as masc., <span class="bibl">Paul.Aeg.7.12</span>.</span>
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|ptext=[[https://www.translatum.gr/images/pape/pape-02-1142.png Seite 1142]] dreiwinklig, dreieckig, dreispitzig; [[χθών]], Aesch. Prom. 815; [[ἐπίγραμμα]], Schol. Il. 3, 156; [[σχῆμα]], Pol. 1, 42, 3.
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}}

Revision as of 19:45, 2 August 2017

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Full diacritics: τρίγωνος Medium diacritics: τρίγωνος Low diacritics: τρίγωνος Capitals: ΤΡΙΓΩΝΟΣ
Transliteration A: trígōnos Transliteration B: trigōnos Transliteration C: trigonos Beta Code: tri/gwnos

English (LSJ)

[ῐ], ον,

   A three-cornered, triangular, τὴν τ. ἐς χθόνα Νειλῶτιν, 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.    2 ἀριθμοὶ τρίγωνοι, triangular numbers, 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 triangles (τρίγωνοι), Plu. 2.744b.    3 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.    II as Subst., τρίγωνον, τό, triangle, Ti.Locr.98a, Pl.Ti.50b, etc.    2 a musical instrument of triangular form, with strings of equal thickness but unequal lengths, Eup.77, Pl.Com.69.13, Pl.R.399c, Arist.Pol.1341a41, Diog.Ath.1.9; called τ. ψαλτήρια in Arist.Pr.919b12:—also as masc., πολὺς δὲ Φρὺξ τρίγωνος S.Fr.412, cf. Ath.4.183e.    3 one of the Athenian lawcourts, Din.Fr.89.35, Lycurg.Fr.10, Men.1076, Paus.1.28.8, Poll.8.121.    4 the constellation Triangulum, Eudox. ap. Hipparch.1.2.13.    5 τρίγωνος, ἡ, name of a lozenge, Orib.Syn.3.183; as masc., Paul.Aeg.7.12.

German (Pape)

[Seite 1142] dreiwinklig, dreieckig, dreispitzig; χθών, Aesch. Prom. 815; ἐπίγραμμα, Schol. Il. 3, 156; σχῆμα, Pol. 1, 42, 3.