τετράγωνος: Difference between revisions

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|Beta Code=tetra/gwnos
|Beta Code=tetra/gwnos
|Definition=[<b class="b3">ᾰ], ον</b>, <span class="sense"><p>&nbsp;&nbsp;&nbsp;<span class="bld">A</span> <b class="b2">with four angles</b>, but usu. <b class="b2">square</b>, <span class="bibl">Hdt.1.178</span>, <span class="bibl">181</span>, <span class="bibl">2.124</span>, <span class="bibl">Hp.<span class="title">Fract.</span>13</span>; <b class="b3">δοκοὶ τ</b>. <b class="b2">squared</b>, <span class="bibl">Th.4.112</span>; <b class="b3">ξύλα τ</b>. <span class="title">IG</span>12.313.101, 42(1).108.162, al. (Epid., iv/iii B.C.); <b class="b3">τ. ἐργασία</b>, of the Hermes-statues, <span class="bibl">Th.6.27</span>; πρόσωπον -ότερον <span class="bibl">Arist.<span class="title">Phgn.</span>809b16</span>; <b class="b3">κύκλος τετράγωνος ταῖς ἐπιφανείαις</b> a ring <b class="b2">with four surfaces</b>, the breadth of the outer and inner equal to the depth of the two sides, Ptol.<span class="title">Alm.</span>5.1 (with the commentary of <span class="bibl">Procl.<span class="title">Hyp.</span>6.3</span>). </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">2</span> <b class="b3">τὸ τ</b>. <b class="b2">a square</b>, <span class="bibl">Pl.<span class="title">R.</span>510d</span>, and freq. in Geom., but sts. of any <b class="b2">quadrilateral</b>, <span class="bibl">Arist.<span class="title">Metaph.</span>1054b2</span>, cf. Hero <b class="b2">*Deff</b>.100, <span class="bibl">Procl. <span class="title">in Euc.</span>p.166</span> F. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">b</span> in Tactics, <b class="b2">a body of men drawn up in square</b>, <span class="bibl">X.<span class="title">Lac.</span>12.1</span>; τ. τάξις <span class="bibl">Th.4.125</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">3</span> <b class="b3">τ. ἀριθμός</b> a <b class="b2">square</b> number, i.e. a number <b class="b2">made up of two equal factors</b>, <span class="bibl">Pl.<span class="title">Tht.</span>147e</span>, <span class="bibl">Phld.<span class="title">Sign.</span>1</span>,<span class="bibl">15</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">4</span> <b class="b2">in quartile aspect</b>, <span class="bibl">Gem.2.16</span>, <span class="bibl">Max.446</span>, <span class="bibl">Procl.<span class="title">Hyp.</span>1.16</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">II</span> metaph., <b class="b2">square</b>, i.e. <b class="b2">perfect as a square</b>, χερσί τε καὶ ποσὶ καὶ νόῳ τετράγωνος τετυγμένος <span class="bibl">Simon.5.2</span>; τὸν ἀγαθὸν ἄνδρα φάναι τετράγωνον <span class="bibl">Arist.<span class="title">Rh.</span>1411b27</span>, cf. <span class="bibl"><span class="title">EN</span>1100b21</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">III</span> <b class="b3">ἱμάτιον τ</b>., of the <b class="b3">χλαῖνα</b> <b class="b2">which hung square</b>, while the <b class="b3">χλαμύς</b> took a circular form, <span class="bibl">Id.<span class="title">Fr.</span>500</span>; contrasted with the <b class="b3">ἡμικύκλιον</b> formed by the Roman toga, <span class="bibl">Posidon.36</span> J., <span class="bibl">App.<span class="title">BC</span> 5.11</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">2</span> <b class="b3">οἱ ἔμποροι καὶ οἱ τὴν τ. ἐργαζόμενοι</b> perh. <b class="b2">those who trade in the</b> <b class="b3">ἀγορὰ τετράγωνος</b>, Durrbach <b class="b2">Choix d'Inscrr. de Délos</b> <span class="bibl">138</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">IV</span> Adv. -νως <span class="bibl">Philostr.<span class="title">VA</span>7.42</span>.</span>
|Definition=[<b class="b3">ᾰ], ον</b>, <span class="sense"><p>&nbsp;&nbsp;&nbsp;<span class="bld">A</span> <b class="b2">with four angles</b>, but usu. <b class="b2">square</b>, <span class="bibl">Hdt.1.178</span>, <span class="bibl">181</span>, <span class="bibl">2.124</span>, <span class="bibl">Hp.<span class="title">Fract.</span>13</span>; <b class="b3">δοκοὶ τ</b>. <b class="b2">squared</b>, <span class="bibl">Th.4.112</span>; <b class="b3">ξύλα τ</b>. <span class="title">IG</span>12.313.101, 42(1).108.162, al. (Epid., iv/iii B.C.); <b class="b3">τ. ἐργασία</b>, of the Hermes-statues, <span class="bibl">Th.6.27</span>; πρόσωπον -ότερον <span class="bibl">Arist.<span class="title">Phgn.</span>809b16</span>; <b class="b3">κύκλος τετράγωνος ταῖς ἐπιφανείαις</b> a ring <b class="b2">with four surfaces</b>, the breadth of the outer and inner equal to the depth of the two sides, Ptol.<span class="title">Alm.</span>5.1 (with the commentary of <span class="bibl">Procl.<span class="title">Hyp.</span>6.3</span>). </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">2</span> <b class="b3">τὸ τ</b>. <b class="b2">a square</b>, <span class="bibl">Pl.<span class="title">R.</span>510d</span>, and freq. in Geom., but sts. of any <b class="b2">quadrilateral</b>, <span class="bibl">Arist.<span class="title">Metaph.</span>1054b2</span>, cf. Hero <b class="b2">*Deff</b>.100, <span class="bibl">Procl. <span class="title">in Euc.</span>p.166</span> F. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">b</span> in Tactics, <b class="b2">a body of men drawn up in square</b>, <span class="bibl">X.<span class="title">Lac.</span>12.1</span>; τ. τάξις <span class="bibl">Th.4.125</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">3</span> <b class="b3">τ. ἀριθμός</b> a <b class="b2">square</b> number, i.e. a number <b class="b2">made up of two equal factors</b>, <span class="bibl">Pl.<span class="title">Tht.</span>147e</span>, <span class="bibl">Phld.<span class="title">Sign.</span>1</span>,<span class="bibl">15</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">4</span> <b class="b2">in quartile aspect</b>, <span class="bibl">Gem.2.16</span>, <span class="bibl">Max.446</span>, <span class="bibl">Procl.<span class="title">Hyp.</span>1.16</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">II</span> metaph., <b class="b2">square</b>, i.e. <b class="b2">perfect as a square</b>, χερσί τε καὶ ποσὶ καὶ νόῳ τετράγωνος τετυγμένος <span class="bibl">Simon.5.2</span>; τὸν ἀγαθὸν ἄνδρα φάναι τετράγωνον <span class="bibl">Arist.<span class="title">Rh.</span>1411b27</span>, cf. <span class="bibl"><span class="title">EN</span>1100b21</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">III</span> <b class="b3">ἱμάτιον τ</b>., of the <b class="b3">χλαῖνα</b> <b class="b2">which hung square</b>, while the <b class="b3">χλαμύς</b> took a circular form, <span class="bibl">Id.<span class="title">Fr.</span>500</span>; contrasted with the <b class="b3">ἡμικύκλιον</b> formed by the Roman toga, <span class="bibl">Posidon.36</span> J., <span class="bibl">App.<span class="title">BC</span> 5.11</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">2</span> <b class="b3">οἱ ἔμποροι καὶ οἱ τὴν τ. ἐργαζόμενοι</b> perh. <b class="b2">those who trade in the</b> <b class="b3">ἀγορὰ τετράγωνος</b>, Durrbach <b class="b2">Choix d'Inscrr. de Délos</b> <span class="bibl">138</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">IV</span> Adv. -νως <span class="bibl">Philostr.<span class="title">VA</span>7.42</span>.</span>
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|ptext=[[https://www.translatum.gr/images/pape/pape-02-1097.png Seite 1097]] 1) viereckig, mit vier Ecken od. Winkeln; [[πυραμίς]], Her. 2, 124; [[τάξις]], Thuc. 4, 125; τὸ τετράγωνον, das Viereck, Plat. Theaet. 147 e und öfter; Sp., bes. Mathem. – Auch die Quadratzahl, Plut. Thes. 35. – Ἱμάτιον u. [[σχῆμα]] τετράγωνον, die griechische Manteltracht, im Ggstz der röm. toga, die ein [[ἡμικύκλιον]] bildete, vgl. Appian. Civ. 5, 11; Ath. V, 213 b. – 2) vierschrötig; zunächst von dickem, gedrungenem Wuchse, so breit wie lang, homo quadratus; auch übertr., von fester, kräftiger, unerschütterlicher Gemüthsart, Simonds. bei Plat. Prot. 344 a; [[ἄνευ]] ψόγου, Arist. eth. Nicom. 1, 10, 11, vgl. rhet. 3, 11.
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