http://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=L%C3%B6sung_von_Aufg._13.6_%28SoSe_11%29 2026-08-16T10:28:50Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.9 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.6_(SoSe_11)&diff=8270&oldid=prev 2011-07-17T12:05:34Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 17. Juli 2011, 12:05 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l35">Zeile 35:</td> <td colspan="2" class="diff-lineno">Zeile 35:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Hier kommt es zum Widerspruch zum schwachen Außenwinkelsatz, nach dem &lt;math&gt;\ | \beta \ | \ &lt; \ | \alpha \ * \ |&lt;/math&gt; gelten müsste.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Hier kommt es zum Widerspruch zum schwachen Außenwinkelsatz, nach dem &lt;math&gt;\ | \beta \ | \ &lt; \ | \alpha \ * \ |&lt;/math&gt; gelten müsste.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Die Annahme ist also zu verwerfen, es gilt die Behauptung</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Die Annahme ist also zu verwerfen, es gilt die Behauptung<ins style="font-weight: bold; text-decoration: none;">.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:Phil86|-phil-]] 14:05, 17. Jul. 2011 (CEST)</ins></div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-8258:rev-8270:php=table --> </table>

Phil86 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.6_(SoSe_11)&diff=8258&oldid=prev 2011-07-16T21:51:07Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 16. Juli 2011, 21:51 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19">Zeile 19:</td> <td colspan="2" class="diff-lineno">Zeile 19:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;br&gt;&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">So müsste auch gehen, ist ähnlich aber einfacher.&lt;br&gt;&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Vor: Dreieck ABC mit schulüblichen Bez.&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Beh: mindestens zwei Winkel sind kleiner 90&lt;br&gt;&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Beweis per Widerspruch:&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Annahme: Zwei Winkel sind nicht kleiner 90.&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">z.z. oBdA: &lt;math&gt;| \alpha | \ = 90 \wedge \ | \beta \ | \ = \ 90 &lt;/math&gt;&lt;br&gt;&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;\ 1) \alpha \ * \ ist \ Aussenwinkel \ im \ Dreieck \ ABC \ und \ Nebenwinkel \ zu  \alpha &lt;/math&gt; (Def. Außenwinkel, Def. Nebenwinkel)&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;\ 2) \ | \alpha \ * \ | \ + \ | \alpha \ | \ = \ 180 &lt;/math&gt; (1, Supplementax)&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;\ 3) \ | \alpha \ * \ | \ = \ 90 &lt;/math&gt; (2, Rechnen in R)&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;\ 4) \ | \alpha \ * \ | \ = \ | \beta \ | &lt;/math&gt; (Annahme, 3)&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Hier kommt es zum Widerspruch zum schwachen Außenwinkelsatz, nach dem &lt;math&gt;\ | \beta \ | \ &lt; \ | \alpha \ * \ |&lt;/math&gt; gelten müsste.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Die Annahme ist also zu verwerfen, es gilt die Behauptung</ins></div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-8188:rev-8258:php=table --> </table>

Phil86 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.6_(SoSe_11)&diff=8188&oldid=prev 2011-07-13T16:13:48Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 13. Juli 2011, 16:13 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l13">Zeile 13:</td> <td colspan="2" class="diff-lineno">Zeile 13:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Genügt das so? --[[Benutzer:WikiNutzer|WikiNutzer]] 12:16, 13. Jul. 2011 (CEST)&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Genügt das so? --[[Benutzer:WikiNutzer|WikiNutzer]] 12:16, 13. Jul. 2011 (CEST)&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Dieser Beweis klingt logisch. Ich mache noch eine Skizze dazu, dann ist es leichter nachvollziehbar.&lt;br /&gt;</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Dieser Beweis klingt logisch. Ich mache noch eine Skizze dazu, dann ist es leichter nachvollziehbar.<ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:Andreas|Tutor Andreas]] 18:13, 13. Jul. 2011 (CEST)</ins>&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;511&quot; height=&quot;293&quot;  version=&quot;3.2&quot; ggbBase64=&quot;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&quot; framePossible = &quot;false&quot; showResetIcon = &quot;false&quot; showAnimationButton = &quot;true&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;511&quot; height=&quot;293&quot;  version=&quot;3.2&quot; ggbBase64=&quot;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&quot; framePossible = &quot;false&quot; showResetIcon = &quot;false&quot; showAnimationButton = &quot;true&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <!-- diff cache key geometrie:diff:1.41:old-8187:rev-8188:php=table --> </table>

Andreas http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.6_(SoSe_11)&diff=8187&oldid=prev 2011-07-13T16:13:13Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 13. Juli 2011, 16:13 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12">Zeile 12:</td> <td colspan="2" class="diff-lineno">Zeile 12:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>V. Das ist ein Widerspruch zu III (Begründung: Definition supplementär = Summe 180). Es kann also (in unserer Geometrie) keine Dreiecke geben, die zwei nicht-spitze Innenwinkel haben.&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>V. Das ist ein Widerspruch zu III (Begründung: Definition supplementär = Summe 180). Es kann also (in unserer Geometrie) keine Dreiecke geben, die zwei nicht-spitze Innenwinkel haben.&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Genügt das so? --[[Benutzer:WikiNutzer|WikiNutzer]] 12:16, 13. Jul. 2011 (CEST)</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Genügt das so? --[[Benutzer:WikiNutzer|WikiNutzer]] 12:16, 13. Jul. 2011 (CEST)<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Dieser Beweis klingt logisch. Ich mache noch eine Skizze dazu, dann ist es leichter nachvollziehbar.&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;ggb_applet width="511" height="293"  version="3.2" ggbBase64="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" framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" /&gt;&lt;br /&gt;</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-8171:rev-8187:php=table --> </table>

Andreas http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.6_(SoSe_11)&diff=8171&oldid=prev 2011-07-13T10:16:51Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 13. Juli 2011, 10:16 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Beweisen Sie:&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Beweisen Sie:&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;u&gt;Korollar 1 zum schwachen Außenwinkelsatz&lt;/u&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;u&gt;Korollar 1 zum schwachen Außenwinkelsatz&lt;/u&gt;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>::In jedem Dreieck sind mindestens zwei Innenwinkel spitze Winkel.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>::In jedem Dreieck sind mindestens zwei Innenwinkel spitze Winkel.<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Also Voraussetzung: Wir haben ein Dreieck.&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Behauptung: Mindestens zwei Innenwinkel sind spitze Winkel, also ihr Maß ist geringer als 90.&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Annahme für Widerspruch: Nein, es gibt auch Dreiecke, in denen zwei Innenwinkel nicht-spitze Winkel sind, also jeweils das Maß 90 oder mehr (bis zu 180) haben.&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">I. An einem der beiden stumpfen Innenwinkel, nennen wir ihn Alpha, liegt ein Außenwinkel an, den wir ab jetzt Alpha-Strich nennen (Begründung: Definition Außenwinkel)&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">II. Dieser Außenwinkel Alpha-Strich muss ein stumpfer Winkel sein. (Begründung: Schwacher Außenwinkelsatz und Annahme, nach der neben Alpha ja noch ein Innenwinkel nicht-spitz ist).&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">III. Alpha und Alpha-Strich sind supplementär, da sie Nebenwinkel sind (Begründung: Definition Außenwinkel, Definition Nebenwinkel und Supplementaxiom)&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">IV. Die Größe des Gesamtwinkels, der aus der Addition von Alpha und Alpha-Strich resultiert, ist größer als 180. (Begründung: Rechnen in R, Definition stumpfe Winkel)&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">V. Das ist ein Widerspruch zu III (Begründung: Definition supplementär = Summe 180). Es kann also (in unserer Geometrie) keine Dreiecke geben, die zwei nicht-spitze Innenwinkel haben.&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Genügt das so? --[[Benutzer:WikiNutzer|WikiNutzer]] 12:16, 13. Jul. 2011 (CEST)</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-8013:rev-8171:php=table --> </table>

WikiNutzer http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.6_(SoSe_11)&diff=8013&oldid=prev 2011-07-05T12:02:45Z

<p>Die Seite wurde neu angelegt: „Beweisen Sie:&lt;br /&gt; &lt;u&gt;Korollar 1 zum schwachen Außenwinkelsatz&lt;/u&gt;&lt;br /&gt; ::In jedem Dreieck sind mindestens zwei Innenwinkel spitze Winkel. [[Category:Einfü…“</p> <p><b>Neue Seite</b></p><div>Beweisen Sie:&lt;br /&gt;<br /> &lt;u&gt;Korollar 1 zum schwachen Außenwinkelsatz&lt;/u&gt;&lt;br /&gt;<br /> ::In jedem Dreieck sind mindestens zwei Innenwinkel spitze Winkel.<br /> <br /> <br /> <br /> [[Category:Einführung_Geometrie]]</div>

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