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ἑτερομήκης: Difference between revisions
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|Definition=ες, <span class="sense"><p> <span class="bld">A</span> <b class="b2">with sides of uneven length</b>, i.e. <b class="b2">oblong</b>, <span class="bibl">X.<span class="title">Eq.</span> 7.14</span>; <b class="b3">ἑτερόμηκες, τό</b>, <b class="b2">oblong rectangle</b>, <span class="bibl">Arist.<span class="title">Cat.</span>11a10</span>, <span class="bibl"><span class="title">de An.</span>413a17</span>, <span class="bibl">Euc.1</span> <span class="title">Def.</span>22. </span><span class="sense"> <span class="bld">2</span> of numbers, <b class="b2">not square</b>, i.e. produced by the multiplication of two <b class="b2">unequal</b> factors, as 6 = 3 x 2, <span class="bibl">Pl. <span class="title">Tht.</span>148a</span>, Plu. 2.367f; opp. <b class="b3">ἰσόπλευρος</b> (both of line and number), <span class="bibl">Arist. <span class="title">APo.</span>73b1</span>.</span> | |Definition=ες, <span class="sense"><p> <span class="bld">A</span> <b class="b2">with sides of uneven length</b>, i.e. <b class="b2">oblong</b>, <span class="bibl">X.<span class="title">Eq.</span> 7.14</span>; <b class="b3">ἑτερόμηκες, τό</b>, <b class="b2">oblong rectangle</b>, <span class="bibl">Arist.<span class="title">Cat.</span>11a10</span>, <span class="bibl"><span class="title">de An.</span>413a17</span>, <span class="bibl">Euc.1</span> <span class="title">Def.</span>22. </span><span class="sense"> <span class="bld">2</span> of numbers, <b class="b2">not square</b>, i.e. produced by the multiplication of two <b class="b2">unequal</b> factors, as 6 = 3 x 2, <span class="bibl">Pl. <span class="title">Tht.</span>148a</span>, Plu. 2.367f; opp. <b class="b3">ἰσόπλευρος</b> (both of line and number), <span class="bibl">Arist. <span class="title">APo.</span>73b1</span>.</span> | ||
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|ptext=[[https://www.translatum.gr/images/pape/pape-01-1049.png Seite 1049]] ες, von verschiedener Länge, ungleichseitig, länglich, oblongus, [[σχῆμα]] D. Sic. 2, 3; [[πέδη]] Xen. de re equ. 7, 14; [[πλινθίον]] Polyaen. 3, 10, 7; – τὸ ἑτερόμηκες, ein Rechteck ([[ὀρθογώνιον]] μέν, οὐκ ἰσόπλευρον δέ, Eucl. 1 def. 31); [[ἀριθμός]], eine Zahl, die diesem entspricht, also ein Product aus zwei ungleichen Factoren, Plat. Theaet. 148 c; so auch Plut. de Is. et Os. 42, wo 16 die einzige Quadratzahl u. 18 die einzige Zahl aus zwei ungleichen Factoren 3 × 6 heißen, deren Seiten addirt dieselbe Zahl mit der Fläche geben, 4 + 4 + 4 + 4 = 4 . 4 = 16, und 3 + 6 + 3 + 6 = 3 . 6 = 18. | |||
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