τετρακτύς: Difference between revisions
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Ἐμπειρία γὰρ τῆς ἀπειρίας κρατεῖ → Inscitiam etenim vincit experientia → Erfahrung überwindet Unerfahrenheit
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|Definition=ύος, ἡ, (τετράς) Pythagorean name for <span class="sense"><p> <span class="bld">A</span> <b class="b2">the sum of the first four numbers</b>, i.e. <span class="bibl">10</span> (= <span class="bibl">1</span>+<span class="bibl">2</span>+<span class="bibl">3</span>+<span class="bibl">4</span>), ναὶ μὰ τὸν ἁμετέρᾳ ψυχᾷ παραδόντα τετρακτύν, παγὰν ἀενάου φύσεως <span class="title">Carm.Aur.</span>48, cf. <span class="bibl">S.E.<span class="title">M.</span> 7.94</span>, TheoSm.<span class="bibl">p.94</span> H., <span class="bibl">Hierocl.<span class="title">in CA</span>20p.465M.</span> </span><span class="sense"> <span class="bld">II</span> <b class="b2">the four terms</b> (<span class="bibl">6</span>:<span class="bibl">8</span>:<span class="bibl">9</span>:<span class="bibl">10</span>) <b class="b2">of the proportion corresponding to the chief musical intervals</b>, <span class="bibl">Nicom.<span class="title">Exc.</span>7</span>, <span class="bibl">10</span>; also <b class="b2">their sum</b> +<span class="bibl">1</span> (= <span class="bibl">36</span>), ibid.; <b class="b2">the sum of the first</b> <span class="bibl">8</span> <b class="b2">numbers</b>, Plu.2.381f.</span> | |Definition=ύος, ἡ, (τετράς) Pythagorean name for <span class="sense"><p> <span class="bld">A</span> <b class="b2">the sum of the first four numbers</b>, i.e. <span class="bibl">10</span> (= <span class="bibl">1</span>+<span class="bibl">2</span>+<span class="bibl">3</span>+<span class="bibl">4</span>), ναὶ μὰ τὸν ἁμετέρᾳ ψυχᾷ παραδόντα τετρακτύν, παγὰν ἀενάου φύσεως <span class="title">Carm.Aur.</span>48, cf. <span class="bibl">S.E.<span class="title">M.</span> 7.94</span>, TheoSm.<span class="bibl">p.94</span> H., <span class="bibl">Hierocl.<span class="title">in CA</span>20p.465M.</span> </span><span class="sense"> <span class="bld">II</span> <b class="b2">the four terms</b> (<span class="bibl">6</span>:<span class="bibl">8</span>:<span class="bibl">9</span>:<span class="bibl">10</span>) <b class="b2">of the proportion corresponding to the chief musical intervals</b>, <span class="bibl">Nicom.<span class="title">Exc.</span>7</span>, <span class="bibl">10</span>; also <b class="b2">their sum</b> +<span class="bibl">1</span> (= <span class="bibl">36</span>), ibid.; <b class="b2">the sum of the first</b> <span class="bibl">8</span> <b class="b2">numbers</b>, Plu.2.381f.</span> | ||
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|ptext=[[https://www.translatum.gr/images/pape/pape-02-1098.png Seite 1098]] ύος, ἡ, die Zahl 4, bes. bei den Pythagoreern, bei denen sie Wurzel u. Quelle aller Dinge hieß, [[ῥίζωμα]], παγὰ ἀενάου φύσεως, Pyth. carm. aur. 48; Luc. Philopatr. 12. | |||
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Revision as of 19:28, 2 August 2017
English (LSJ)
ύος, ἡ, (τετράς) Pythagorean name for
A the sum of the first four numbers, i.e. 10 (= 1+2+3+4), ναὶ μὰ τὸν ἁμετέρᾳ ψυχᾷ παραδόντα τετρακτύν, παγὰν ἀενάου φύσεως Carm.Aur.48, cf. S.E.M. 7.94, TheoSm.p.94 H., Hierocl.in CA20p.465M. II the four terms (6:8:9:10) of the proportion corresponding to the chief musical intervals, Nicom.Exc.7, 10; also their sum +1 (= 36), ibid.; the sum of the first 8 numbers, Plu.2.381f.
German (Pape)
[Seite 1098] ύος, ἡ, die Zahl 4, bes. bei den Pythagoreern, bei denen sie Wurzel u. Quelle aller Dinge hieß, ῥίζωμα, παγὰ ἀενάου φύσεως, Pyth. carm. aur. 48; Luc. Philopatr. 12.