http://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=L%C3%B6sung_von_Aufgabe_12.2P_%28SoSe_12%29 Lösung von Aufgabe 12.2P (SoSe 12) - Versionsgeschichte 2026-08-14T21:47:56Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.9 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17501&oldid=prev Tutor M.S. am 20. Juli 2012 um 09:58 Uhr 2012-07-20T09:58:16Z <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 20. Juli 2012, 09:58 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Zeile 25:</td> <td colspan="2" class="diff-lineno">Zeile 25:</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>Variante 1 mit und Variante 2 ohne Punktspiegelungen.</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>Variante 1 mit und Variante 2 ohne Punktspiegelungen.</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>Man muss dazusagen, dass Variante 2 streng genommen nicht ganz sauber ist, da wir mit dem Parallelenaxiom nur die Eindeutigkeit  belegen. Die Existenz paralleler Geraden durch einen Punkt haben wir nämlich nicht bewiesen. Deshalb ist Variante 1 genauer.&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>Man muss dazusagen, dass Variante 2 streng genommen nicht ganz sauber ist, da wir mit dem Parallelenaxiom nur die Eindeutigkeit  belegen. Die Existenz paralleler Geraden durch einen Punkt haben wir nämlich nicht bewiesen. Deshalb ist Variante 1 genauer.&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>[[Datei:12.2 Lösung.pdf]]</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>[[Datei:12.2 Lösung.pdf]] <ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:Tutor M.S.|Tutor M.S.]] 11:58, 20. Jul. 2012 (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;"><div>[[Kategorie:Einführung_P]]</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>[[Kategorie:Einführung_P]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-17500:rev-17501:php=table --> </table> Tutor M.S. http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17500&oldid=prev Tutor M.S. am 20. Juli 2012 um 09:56 Uhr 2012-07-20T09:56:35Z <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 20. Juli 2012, 09:56 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;"><div>&lt;br /&gt;&lt;br /&gt;weil geraden bei einer punktspiegelung auf parallelen geraden abgebildet werden und es nur eine parallele gerade durch einen punkt gibt &lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 22:25, 16. Jul. 2012 (CEST)&lt;br /&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;br /&gt;&lt;br /&gt;weil geraden bei einer punktspiegelung auf parallelen geraden abgebildet werden und es nur eine parallele gerade durch einen punkt gibt &lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 22:25, 16. Jul. 2012 (CEST)&lt;br /&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;"><div>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>&lt;ggb_applet width="1580" height="751"  version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (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>&lt;ggb_applet width="1580" height="751"  version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)<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;">Gestern gab es in der Übung von 12-14 Uhr noch einige offene Fragen bzgl. der Beweisführung. Es kam u.a. die Frage auf, ob es nicht schneller und einfacher ohne Punktspiegelungen, nur mit dem Parallelenaxiom geht.</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;">Deshalb hier die Lösungen für beide Varianten:</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;">Variante 1 mit und Variante 2 ohne Punktspiegelungen.</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;">Man muss dazusagen, dass Variante 2 streng genommen nicht ganz sauber ist, da wir mit dem Parallelenaxiom nur die Eindeutigkeit  belegen. Die Existenz paralleler Geraden durch einen Punkt haben wir nämlich nicht bewiesen. Deshalb ist Variante 1 genauer.&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;">[[Datei:12.2 Lösung.pdf]]</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;"><div>[[Kategorie:Einführung_P]]</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>[[Kategorie:Einführung_P]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-17216:rev-17500:php=table --> </table> Tutor M.S. http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17216&oldid=prev Studentin am 17. Juli 2012 um 11:53 Uhr 2012-07-17T11:53:38Z <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 2012, 11:53 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17">Zeile 17:</td> <td colspan="2" class="diff-lineno">Zeile 17:</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>Ist dir aufgefallen, dass du Schritt 1 nicht mehr zur Begründung verwendest? Für was machst du diesen dann?&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>Ist dir aufgefallen, dass du Schritt 1 nicht mehr zur Begründung verwendest? Für was machst du diesen dann?&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>Woher weißt du, dass der Winkel Alpha&#039; auch wirklich der gedrehte Winkel ist bzw. dass der Schenkel des Winkels auf der Parallelen liegt? --[[Benutzer:Tutorin Anne|Tutorin Anne]] 13:23, 16. Jul. 2012 (CEST)</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>Woher weißt du, dass der Winkel Alpha&#039; auch wirklich der gedrehte Winkel ist bzw. dass der Schenkel des Winkels auf der Parallelen liegt? --[[Benutzer:Tutorin Anne|Tutorin Anne]] 13:23, 16. Jul. 2012 (CEST)</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>&lt;br /&gt;&lt;br /&gt;weil geraden bei einer punktspiegelung auf parallelen geraden abgebildet werden&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 22:25, 16. Jul. 2012 (CEST)&lt;br /&gt;&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>&lt;br /&gt;&lt;br /&gt;weil geraden bei einer punktspiegelung auf parallelen geraden abgebildet werden <ins style="font-weight: bold; text-decoration: none;">und es nur eine parallele gerade durch einen punkt gibt </ins>&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 22:25, 16. Jul. 2012 (CEST)&lt;br /&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;"><div>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;"><div>[[Kategorie:Einführung_P]]</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>[[Kategorie:Einführung_P]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-17122:rev-17216:php=table --> </table> Studentin http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17122&oldid=prev Studentin am 16. Juli 2012 um 20:52 Uhr 2012-07-16T20:52:56Z <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 2012, 20:52 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20">Zeile 20:</td> <td colspan="2" class="diff-lineno">Zeile 20:</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;">[[Kategorie:Einführung_P]]</ins></div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-17097:rev-17122:php=table --> </table> Studentin http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17097&oldid=prev Studentin am 16. Juli 2012 um 20:25 Uhr 2012-07-16T20:25:00Z <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 2012, 20:25 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17">Zeile 17:</td> <td colspan="2" class="diff-lineno">Zeile 17:</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>Ist dir aufgefallen, dass du Schritt 1 nicht mehr zur Begründung verwendest? Für was machst du diesen dann?&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>Ist dir aufgefallen, dass du Schritt 1 nicht mehr zur Begründung verwendest? Für was machst du diesen dann?&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>Woher weißt du, dass der Winkel Alpha&#039; auch wirklich der gedrehte Winkel ist bzw. dass der Schenkel des Winkels auf der Parallelen liegt? --[[Benutzer:Tutorin Anne|Tutorin Anne]] 13:23, 16. Jul. 2012 (CEST)</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>Woher weißt du, dass der Winkel Alpha&#039; auch wirklich der gedrehte Winkel ist bzw. dass der Schenkel des Winkels auf der Parallelen liegt? --[[Benutzer:Tutorin Anne|Tutorin Anne]] 13:23, 16. Jul. 2012 (CEST)</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>&lt;br /&gt;&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><ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;&lt;br /&gt;weil geraden bei einer punktspiegelung auf parallelen geraden abgebildet werden&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 22:25, 16. Jul. 2012 (CEST)</ins>&lt;br /&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;"><div>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</div></td></tr> </table> Studentin http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17037&oldid=prev Tutorin Anne am 16. Juli 2012 um 11:23 Uhr 2012-07-16T11:23:47Z <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 2012, 11:23 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>5. beta=beta´(winkeltreue)(3.)</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>5. beta=beta´(winkeltreue)(3.)</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>6. alpha´+gamma+beta`=180° (Def. gestreckter Winkel 4.5.) q.e.d.--[[Benutzer:Geogeogeo|Geogeogeo]] 12:39, 16. Jul. 2012 (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>6. alpha´+gamma+beta`=180° (Def. gestreckter Winkel 4.5.) q.e.d.--[[Benutzer:Geogeogeo|Geogeogeo]] 12:39, 16. Jul. 2012 (CEST)<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></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> </div></td><td colspan="2" class="diff-side-added"></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 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 Beweisidee ist ganz richtig, aber der Beweis so noch nicht.&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;">Ist dir aufgefallen, dass du Schritt 1 nicht mehr zur Begründung verwendest? Für was machst du diesen dann?&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;">Woher weißt du, dass der Winkel Alpha' auch wirklich der gedrehte Winkel ist bzw. dass der Schenkel des Winkels auf der Parallelen liegt? --[[Benutzer:Tutorin Anne|Tutorin Anne]] 13:23, 16. Jul. 2012 (CEST)</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 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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</div></td></tr> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=17027&oldid=prev Geogeogeo am 16. Juli 2012 um 10:39 Uhr 2012-07-16T10:39:31Z <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 2012, 10:39 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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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 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;">1. Konstruire Parallele zur Strecke AB durch C (Parallelenaxiom)</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;">2. Alpha´=D (M1,180) (Alpha) (Def. Punktspiegelung)</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;">3. Beta´=D (M2,180) (Beta) (Def. Punktspiegelung)</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;">4. alpha=alpha`(winkeltreue) (2.)</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;">5. beta=beta´(winkeltreue)(3.)</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;">6. alpha´+gamma+beta`=180° (Def. gestreckter Winkel 4.5.) q.e.d.--[[Benutzer:Geogeogeo|Geogeogeo]] 12:39, 16. Jul. 2012 (CEST)</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;"></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;"><div>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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;1580&quot; height=&quot;751&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&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; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;--[[Benutzer:Studentin|Studentin]] 16:26, 13. Jul. 2012 (CEST)</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><del style="font-weight: bold; text-decoration: none;">[[Kategorie:Einführung_P]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> </table> Geogeogeo http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=16635&oldid=prev Studentin am 13. Juli 2012 um 14:31 Uhr 2012-07-13T14:31:42Z <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 2012, 14:31 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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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>&lt;ggb_applet width="1580" height="751"  version="4.0" ggbBase64="<del style="font-weight: bold; text-decoration: none;">UEsDBBQACAAIAGaD7UAAAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc0srzUsuyczPU0hPT</del>/<del style="font-weight: bold; text-decoration: none;">LP88zLLNHQVKiuBQBQSwcI1je9uRkAAAAXAAAAUEsDBBQACAAIAGaD7UAAAAAAAAAAAAAAAAAMAAAAZ2VvZ2VicmEueG1s7Vvdcts2Fr5OnwLDi72KLAIgSCorpxN7Jt3MOE1nne109iYDkpCEmiK5JPXjTl9q2</del>/<del style="font-weight: bold; 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Jul. 2012 (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><ins style="font-weight: bold; text-decoration: none;">das rote dreieck wird zweimal im mittelpunkt der seiten ab und ac gespiegelt</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>&lt;ggb_applet width="1580" height="751"  version="4.0" ggbBase64="<ins style="font-weight: bold; text-decoration: none;">UEsDBBQACAAIAJ2D7UAAAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc0srzUsuyczPU0hPT</ins>/<ins style="font-weight: bold; text-decoration: none;">LP88zLLNHQVKiuBQBQSwcI1je9uRkAAAAXAAAAUEsDBBQACAAIAJ2D7UAAAAAAAAAAAAAAAAAMAAAAZ2VvZ2VicmEueG1s7Vvdjts2Fr5On4LQxV7FtkiKkpx6UmQGSDfApCl2skXRm4CSaFsdWdJK8s8Ufam275Fn6iEpyZLtkT2O5y</ins>/<ins style="font-weight: bold; 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Jul. 2012 (CEST)</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>[[Kategorie:Einführung_P]]</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>[[Kategorie:Einführung_P]]</div></td></tr> </table> Studentin http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=16633&oldid=prev Studentin am 13. Juli 2012 um 14:27 Uhr 2012-07-13T14:27:49Z <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 2012, 14:27 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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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; 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Jul. 2012 (CEST)</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>[[Kategorie:Einführung_P]]</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>[[Kategorie:Einführung_P]]</div></td></tr> </table> Studentin http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_12.2P_(SoSe_12)&diff=16631&oldid=prev Studentin am 13. Juli 2012 um 14:26 Uhr 2012-07-13T14:26:53Z <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 2012, 14:26 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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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 den Innenwinkelsatz für Dreiecke mit Hilfe zweier Punktspiegelungen.</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; 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