ἐπιμόριος: Difference between revisions
κάλλιστον ἐφόδιον τῷ γήρᾳ ἡ παιδεία (Aristotle, quoted by Diogenes Laertius 5.21) → the finest provision for old age is education
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|Definition=ον, (μόριον) <span class="sense"><p> <span class="bld">A</span> <b class="b2">containing a whole + a fraction</b> <b class="b2">with</b> <span class="bibl">1</span> <b class="b2">for its numerator</b> (<span class="bibl">1</span>+<span class="bibl">1</span>/x), <b class="b2">superparticular</b>, ἐ. [ἀριθμοί] <span class="bibl">Arist.<span class="title">Pr.</span> 921b5</span>; λόγοι <span class="bibl">Ph.2.183</span> (v.l. for [[ὑποεπιμερῶν]]), Plu.<span class="title">in Hes.</span>59; of the rhythm of the pulse, Gal.8.516; also <b class="b3">ἐπιμόριον, τό</b>, <span class="bibl">Arist.<span class="title">Metaph.</span> 1021a2</span>. Adv. -ίως <span class="bibl">Nicom.<span class="title">Ar.</span>2.20</span>; opp. <b class="b3">ἐπιμερής</b> (q.v.), ib.<span class="bibl">1.20</span>; <b class="b3">τῶν ἀριθμῶν οἱ μὲν ἐν πολλαπλασίῳ λόγῳ λέγονται, οἱ δὲ ἐν ἐπιμορίῳ, οἱ</b> δὲ ἐν ἐπιμερεῖ Euc.<span class="title">Sect.Can.Praef.</span>, cf. Theo Sm.p.76H.</span> | |Definition=ον, (μόριον) <span class="sense"><p> <span class="bld">A</span> <b class="b2">containing a whole + a fraction</b> <b class="b2">with</b> <span class="bibl">1</span> <b class="b2">for its numerator</b> (<span class="bibl">1</span>+<span class="bibl">1</span>/x), <b class="b2">superparticular</b>, ἐ. [ἀριθμοί] <span class="bibl">Arist.<span class="title">Pr.</span> 921b5</span>; λόγοι <span class="bibl">Ph.2.183</span> (v.l. for [[ὑποεπιμερῶν]]), Plu.<span class="title">in Hes.</span>59; of the rhythm of the pulse, Gal.8.516; also <b class="b3">ἐπιμόριον, τό</b>, <span class="bibl">Arist.<span class="title">Metaph.</span> 1021a2</span>. Adv. -ίως <span class="bibl">Nicom.<span class="title">Ar.</span>2.20</span>; opp. <b class="b3">ἐπιμερής</b> (q.v.), ib.<span class="bibl">1.20</span>; <b class="b3">τῶν ἀριθμῶν οἱ μὲν ἐν πολλαπλασίῳ λόγῳ λέγονται, οἱ δὲ ἐν ἐπιμορίῳ, οἱ</b> δὲ ἐν ἐπιμερεῖ Euc.<span class="title">Sect.Can.Praef.</span>, cf. Theo Sm.p.76H.</span> | ||
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|ptext=[[https://www.translatum.gr/images/pape/pape-01-0964.png Seite 964]] das Ganze u. einen Theil desselben enthaltend, um einen Theil größer, Nicom. arithm. 1, 19; [[λόγος]], das Zahlenverhältniß, worin die eine Zahl um einen bestimmten Theil größer ist als die andere, 3: 4, 8: 10, [[οὔτε]] γὰρ ἐπιμόριοι [[οὔτε]] πολλαπλάσιοι, Arist. probl. 19, 41. – Adv. ἐπιμορίως, Nicom. arithm. 2, 20. Vgl. [[ἐπιμερής]]. | |||
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Revision as of 19:35, 2 August 2017
English (LSJ)
ον, (μόριον)
A containing a whole + a fraction with 1 for its numerator (1+1/x), superparticular, ἐ. [ἀριθμοί] Arist.Pr. 921b5; λόγοι Ph.2.183 (v.l. for ὑποεπιμερῶν), Plu.in Hes.59; of the rhythm of the pulse, Gal.8.516; also ἐπιμόριον, τό, Arist.Metaph. 1021a2. Adv. -ίως Nicom.Ar.2.20; opp. ἐπιμερής (q.v.), ib.1.20; τῶν ἀριθμῶν οἱ μὲν ἐν πολλαπλασίῳ λόγῳ λέγονται, οἱ δὲ ἐν ἐπιμορίῳ, οἱ δὲ ἐν ἐπιμερεῖ Euc.Sect.Can.Praef., cf. Theo Sm.p.76H.
German (Pape)
[Seite 964] das Ganze u. einen Theil desselben enthaltend, um einen Theil größer, Nicom. arithm. 1, 19; λόγος, das Zahlenverhältniß, worin die eine Zahl um einen bestimmten Theil größer ist als die andere, 3: 4, 8: 10, οὔτε γὰρ ἐπιμόριοι οὔτε πολλαπλάσιοι, Arist. probl. 19, 41. – Adv. ἐπιμορίως, Nicom. arithm. 2, 20. Vgl. ἐπιμερής.
