τρίγωνος
τρίγωνος [ῐ], ον,
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"definition": "<i>three-cornered, triangular,</i> 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.",
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"ref": "A. Pr. 813;",
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"quote": "τ. ῥυθμοί",
"ref": "Id. Fr. 78",
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"quote": "βάσεις",
"ref": "Pl. Ti. 55b",
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"ref": "Arist. Frr. 314,",
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"ref": "330,",
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"ref": "333; of Sicily,",
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"ref": "Plb. 1.42.3; of Britain,",
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"ref": "Str. 4.5.1.",
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"label": "2",
"definition": "ἀριθμοὶ τρίγωνοι, <i>triangular</i> numbers, are those whose units can be disposed in a triangle, as 3 [see print copy], 6 [see print copy], etc., being represented by the formula <i>n (n + 1) / 2,</i> Plu. QPlat. 2.1003f, cf. Nicom. Ar. 2.8; these numbers are also called <i>triangles</i> ( τρίγωνοι), Plu. QConv. 2.744b.",
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"ref": "3 [see print copy],",
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"ref": "6 [see print copy], etc., being represented by the formula",
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"ref": "Plu. QPlat. 2.1003f, cf.",
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"ref": "Nicom. Ar. 2.8; these numbers are also called",
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"ref": "Plu. QConv. 2.744b.",
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},
{
"label": "3",
"definition": "<i>in triangular</i> or <i>trine aspect,</i> 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.",
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"ref": "S.E. M. 5.39,",
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"ref": "Plot. 2.3.4;",
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"quote": "τ. σχηματισμοί",
"ref": "Ptol. Tetr. 35",
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"ref": "Man. 3.344.",
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{
"label": "II",
"definition": "Subst., τρίγωνον, τό, <i>triangle,</i> Ti.Locr. 98a, Pl. Ti. 50b, etc.",
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"ref": "Ti.Locr. 98a,",
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"ref": "Pl. Ti. 50b, etc.",
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"label": "2",
"definition": "<i>a musical instrument of triangular form,</i> 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.",
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"ref": "Eup. 77,",
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"ref": "Pl.Com. 69.13,",
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"ref": "Pl. R. 399c,",
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"ref": "Arist. Pol. 1341a41,",
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"ref": "Diog.Ath. 1.9; called",
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"ref": "Arist. Pr. 919b12:—also as masc.,",
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"data": {
"quote": "πολὺς δὲ Φρὺξ τρίγωνος",
"ref": "S. Fr. 412",
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"quote": "",
"ref": "Ath. 4.183e.",
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{
"label": "3",
"definition": "<i>one of the Athenian law-courts,</i> Din. Fr. 89.35, Lycurg. Fr. 10, Men. 1076, Paus. 1.28.8, Poll. 8.121.",
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"ref": "Din. Fr. 89.35,",
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"ref": "Lycurg. Fr. 10,",
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"ref": "Men. 1076,",
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"ref": "Paus. 1.28.8,",
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"ref": "Poll. 8.121.",
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{
"label": "4",
"definition": "<i>Triangulum,</i> Eudox. ap. Hipparch. 1.2.13.",
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"ref": "Hipparch. 1.2.13.",
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],
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"label": "5",
"definition": "τρίγωνος, ἡ, name of a <i>lozenge,</i> Orib. Syn. 3.183; as masc., Paul.Aeg. 7.12.",
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"ref": "Orib. Syn. 3.183; as masc.,",
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"quote": "",
"ref": "Paul.Aeg. 7.12.",
"urn": "urn:cts:greekLit:tlg0715.tlg001.perseus-grc2:7.12"
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],
"key": "tri/gwnos",
"type": "main"
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