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θεώρημα: Difference between revisions
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|Definition=ατος, τό, <span class="sense"><p> <span class="bld">A</span> <b class="b2">sight, spectacle</b>, λόγοι καὶ θεωρήματα <span class="bibl">D.18.68</span>; θ. καὶ ἀκροάματα Aristox.<span class="title">Fr. Hist.</span>15; θ. καὶ ἀκούσματα <span class="bibl">D.C.52.30</span>: generally, <b class="b2">festival</b>, ὅσα Μουσῶν ὠσὶν ἔχεται θεωρήματα <span class="bibl">Pl.<span class="title">Lg.</span>953a</span>. </span><span class="sense"> <span class="bld">2</span> <b class="b2">object of contemplation</b>, <b class="b3">τὸ ἐν ἡμῖν φάντασμα δεῖ ὑπολαβεῖν . . εἶναι θ</b>. <span class="bibl">Arist.<span class="title">Mem.</span>450b25</span>; <b class="b2">vision</b>, <span class="bibl">Id.<span class="title">Div.Somn.</span>463b19</span>; <b class="b2">intuition</b>, θ. κοινά <span class="bibl">Chrysipp.Stoic.3.72</span>,al., cf. <span class="bibl">Phld.<span class="title">Po.</span>5.25</span> (pl.). </span><span class="sense"> <span class="bld">II</span> of the mind, <b class="b2">speculation, theory</b>, <span class="bibl">Arist. <span class="title">Metaph.</span>1083b18</span>, <span class="bibl"><span class="title">Top.</span>104b1</span>; <b class="b3">τὰ κατὰ φυσιολογίαν θ</b>. Metrod.<span class="title">Herc.</span>831.8; <b class="b2">speculative proposition</b>, <span class="bibl">M.Ant.1.8</span>. </span><span class="sense"> <span class="bld">b</span> <b class="b2">datum</b> or <b class="b2">rule of art</b>, <span class="bibl">Cic.<span class="title">Fam.</span>6.11</span> (pl.); <b class="b3">τέχνης θ</b>. Phld.<span class="title">Rh.</span>2.94S.,al.(pl.), cf. <span class="title">Stoic.</span>3.51; <b class="b3">ἰατρικῆς θ</b>. <span class="bibl">Corn.<span class="title">ND</span>33</span> (pl.); <b class="b2">scheme, plan</b>, <span class="bibl">Plb.6.26.10</span>: pl., <b class="b3">θεωρήματα, τά</b>, <b class="b2">arts and sciences</b>, <span class="bibl">Id.10.47.12</span>; αἱ τέχναι ἐκ -ημάτων εἰσίν Gal.1.106. </span><span class="sense"> <span class="bld">c</span> Math., <b class="b2">theorem</b>, <span class="bibl">Archim.<span class="title">Sph.Cyl.</span>1</span><span class="title">Prooem.</span>, al., <span class="bibl">Papp.30.6</span>, al., <span class="bibl">Procl.<span class="title">in Euc.</span>p.201</span> F.; also <b class="b3">ἀστρονομικὰ θ</b>. <span class="bibl">Phlp.<span class="title">in Mete.</span>104.19</span>. </span><span class="sense"> <span class="bld">2</span> <b class="b2">subject of investigation</b>, <span class="bibl">Plb.1.2.1</span>, <span class="bibl">D.H.<span class="title">Comp.</span> 2</span>. </span><span class="sense"> <span class="bld">b</span> <b class="b2">investigation</b>, Plu.2.1131c.</span> | |Definition=ατος, τό, <span class="sense"><p> <span class="bld">A</span> <b class="b2">sight, spectacle</b>, λόγοι καὶ θεωρήματα <span class="bibl">D.18.68</span>; θ. καὶ ἀκροάματα Aristox.<span class="title">Fr. Hist.</span>15; θ. καὶ ἀκούσματα <span class="bibl">D.C.52.30</span>: generally, <b class="b2">festival</b>, ὅσα Μουσῶν ὠσὶν ἔχεται θεωρήματα <span class="bibl">Pl.<span class="title">Lg.</span>953a</span>. </span><span class="sense"> <span class="bld">2</span> <b class="b2">object of contemplation</b>, <b class="b3">τὸ ἐν ἡμῖν φάντασμα δεῖ ὑπολαβεῖν . . εἶναι θ</b>. <span class="bibl">Arist.<span class="title">Mem.</span>450b25</span>; <b class="b2">vision</b>, <span class="bibl">Id.<span class="title">Div.Somn.</span>463b19</span>; <b class="b2">intuition</b>, θ. κοινά <span class="bibl">Chrysipp.Stoic.3.72</span>,al., cf. <span class="bibl">Phld.<span class="title">Po.</span>5.25</span> (pl.). </span><span class="sense"> <span class="bld">II</span> of the mind, <b class="b2">speculation, theory</b>, <span class="bibl">Arist. <span class="title">Metaph.</span>1083b18</span>, <span class="bibl"><span class="title">Top.</span>104b1</span>; <b class="b3">τὰ κατὰ φυσιολογίαν θ</b>. Metrod.<span class="title">Herc.</span>831.8; <b class="b2">speculative proposition</b>, <span class="bibl">M.Ant.1.8</span>. </span><span class="sense"> <span class="bld">b</span> <b class="b2">datum</b> or <b class="b2">rule of art</b>, <span class="bibl">Cic.<span class="title">Fam.</span>6.11</span> (pl.); <b class="b3">τέχνης θ</b>. Phld.<span class="title">Rh.</span>2.94S.,al.(pl.), cf. <span class="title">Stoic.</span>3.51; <b class="b3">ἰατρικῆς θ</b>. <span class="bibl">Corn.<span class="title">ND</span>33</span> (pl.); <b class="b2">scheme, plan</b>, <span class="bibl">Plb.6.26.10</span>: pl., <b class="b3">θεωρήματα, τά</b>, <b class="b2">arts and sciences</b>, <span class="bibl">Id.10.47.12</span>; αἱ τέχναι ἐκ -ημάτων εἰσίν Gal.1.106. </span><span class="sense"> <span class="bld">c</span> Math., <b class="b2">theorem</b>, <span class="bibl">Archim.<span class="title">Sph.Cyl.</span>1</span><span class="title">Prooem.</span>, al., <span class="bibl">Papp.30.6</span>, al., <span class="bibl">Procl.<span class="title">in Euc.</span>p.201</span> F.; also <b class="b3">ἀστρονομικὰ θ</b>. <span class="bibl">Phlp.<span class="title">in Mete.</span>104.19</span>. </span><span class="sense"> <span class="bld">2</span> <b class="b2">subject of investigation</b>, <span class="bibl">Plb.1.2.1</span>, <span class="bibl">D.H.<span class="title">Comp.</span> 2</span>. </span><span class="sense"> <span class="bld">b</span> <b class="b2">investigation</b>, Plu.2.1131c.</span> | ||
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|ptext=[[https://www.translatum.gr/images/pape/pape-01-1205.png Seite 1205]] τό, das Angeschaute, Betrachtete, Schauspiel; περὶ τῶν θεωρημάτων καὶ τῶν ἀκροαμάτων Ath. XII, 545 f; Plat. sagt Legg. XII, 953 a sogar ὅσα τε Μουσῶν ὠσὶν ἔχεται θεωρήματα; vgl. Dem. 18, 68. – Gew. übertr., das geistig Angeschau'te, Betrachtete, Untersuchte, Arist. Eth. Nic. 10, 4, 10 u. Folgde, die Untersuchung, σχολῆς δεῖται τὸ θ. Plut. de mus. 2. Bes. ein durch Untersuchung gefundener u. begründeter Satz, bei den Mathem. Lehrsatz, übh. Regel in Kunst u. Wissenschaft, [[θεώρημα]] ἁπλοῦν περὶ τὰς παρεμβολάς, einfache Regel oder Vorschrift, Pol. 6, 26, 10, öfter, wie Sp.; τὰ θεωρήματα die Künste u. Wissenschaften selbst, Pol. 10, 47, 12. | |||
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