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Lösung von Aufg. 13.3 - Versionsgeschichte
2026-08-07T03:02:46Z
Versionsgeschichte dieser Seite in Geometrie-Wiki
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Schnirch am 4. Februar 2011 um 13:49 Uhr
2011-02-04T13:49:50Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 4. Februar 2011, 13:49 Uhr</td>
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<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>Wenn man es ganz genau nimmt, müsste man in die Behauptung folgendes schreiben:</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>Wenn man es ganz genau nimmt, müsste man in die Behauptung folgendes schreiben:</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>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. Und in Schritt zwei werden dann die Lotfußpunkte festgelegt. Aber man kann sich ja auf die Skizze berufen. --[[Benutzer:Engel82|Engel82]] 09:59, 3. Feb. 2011 (UTC)</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>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. Und in Schritt zwei werden dann die Lotfußpunkte festgelegt. Aber man kann sich ja auf die Skizze berufen. --[[Benutzer:Engel82|Engel82]] 09:59, 3. Feb. 2011 (UTC)</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;"> ja, passen Sie auf, dass die Punkte, die Sie verwenden auch nach Voraussetzung da sind oder vorab<br /> konstruiert werden, ansonsten ist der Beweis in Ordnung!--[[Benutzer:Schnirch|Schnirch]] 13:49, 4. Feb. 2011 (UTC)</ins></div></td></tr>
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Schnirch
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6262&oldid=prev
Engel82 am 3. Februar 2011 um 10:01 Uhr
2011-02-03T10:01:30Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Februar 2011, 10:01 Uhr</td>
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<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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Beh:</u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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><u>Beh: </u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math> )<br /></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math> )<br /></div></td></tr>
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<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><u>Vor</u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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><u>Vor</u> P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math> )<br /></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math> )<br /></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><u>Beh</u>: <math>P \in w</math>, <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Beh</u>: <math>P \in w</math>, <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </div></td></tr>
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Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6261&oldid=prev
Engel82 am 3. Februar 2011 um 10:01 Uhr
2011-02-03T10:01:11Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Februar 2011, 10:01 Uhr</td>
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<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><u>Vor</u><del style="font-weight: bold; text-decoration: none;">:</del><math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math><br /></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><u>Vor</u><ins style="font-weight: bold; text-decoration: none;">P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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><math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math> <ins style="font-weight: bold; text-decoration: none;">)</ins><br /></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><u>Beh</u>: <math>P \in w</math>, <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Beh</u>: <math>P \in w</math>, <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </div></td></tr>
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Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6260&oldid=prev
Engel82 am 3. Februar 2011 um 09:59 Uhr
2011-02-03T09:59:50Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Februar 2011, 09:59 Uhr</td>
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<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>************Kannst du die Punkte A und B verwenden um die Winkel zu beschreiben und alles wenn du sie erst in Schritt 2 als Lotfußpunkte festlegst?--[[Benutzer:Einfach ich|Einfach ich]] 10:47, 2. Feb. 2011 (UTC)</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>************Kannst du die Punkte A und B verwenden um die Winkel zu beschreiben und alles wenn du sie erst in Schritt 2 als Lotfußpunkte festlegst?--[[Benutzer:Einfach ich|Einfach ich]] 10:47, 2. Feb. 2011 (UTC)</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>Wenn man es ganz genau nimmt, müsste man in die Behauptung folgendes schreiben:</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>Wenn man es ganz genau nimmt, müsste man in die Behauptung folgendes schreiben:</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>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. Und in Schritt zwei werden dann die Lotfußpunkte festgelegt.</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>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. Und in Schritt zwei werden dann die Lotfußpunkte festgelegt. <ins style="font-weight: bold; text-decoration: none;">Aber man kann sich ja auf die Skizze berufen. --[[Benutzer:Engel82|Engel82]] 09:59, 3. Feb. 2011 (UTC)</ins></div></td></tr>
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Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6259&oldid=prev
Engel82 am 3. Februar 2011 um 09:58 Uhr
2011-02-03T09:58:25Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Februar 2011, 09:58 Uhr</td>
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<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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Beh:</u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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><u>Beh:</u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<br /></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math><br /><del style="font-weight: bold; text-decoration: none;">)</del></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math> <ins style="font-weight: bold; text-decoration: none;">)</ins><br /></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>1)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math> __________________Vor<br /></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>1)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math> __________________Vor<br /></div></td></tr>
</table>
Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6258&oldid=prev
Engel82 am 3. Februar 2011 um 09:58 Uhr
2011-02-03T09:58:05Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Februar 2011, 09:58 Uhr</td>
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<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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Beh:</u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. <del style="font-weight: bold; text-decoration: none;">Und in Schritt zwei werden dann die Lotfußpunkte festgelegt</del>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math><br />)</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><u>Beh:</u>P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand.<ins style="font-weight: bold; text-decoration: none;"><br /></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>( <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math><br />)</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>1)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math> __________________Vor<br /></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>1)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math> __________________Vor<br /></div></td></tr>
</table>
Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6257&oldid=prev
Engel82 am 3. Februar 2011 um 09:57 Uhr
2011-02-03T09:57:24Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Februar 2011, 09:57 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Zeile 2:</td>
<td colspan="2" class="diff-lineno">Zeile 2:</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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Vor</u>: <math>P \in w</math>, , <math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math><br /> </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><u>Beh:</u> <math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math><br /></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><u>Beh:</u><ins style="font-weight: bold; text-decoration: none;">P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. Und in Schritt zwei werden dann die Lotfußpunkte festgelegt( </ins><math>\overline {AP}</math> <math>\cong</math><math>\overline {BP}</math><br /><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;"><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>1)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math> __________________Vor<br /></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>1)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math> __________________Vor<br /></div></td></tr>
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<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)<math>\angle SPA</math><math>\cong</math><math>\angle SPB</math>__________________1), 2) und Innenwinkelsumme im Dreieck<br /></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)<math>\angle SPA</math><math>\cong</math><math>\angle SPB</math>__________________1), 2) und Innenwinkelsumme im Dreieck<br /></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>6)<math>\triangle {ASP}</math> <math>\cong</math><math>\triangle {SPB}</math>______________WSW,1), 4),5)<br /></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>6)<math>\triangle {ASP}</math> <math>\cong</math><math>\triangle {SPB}</math>______________WSW,1), 4),5)<br /></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>7) <math>\overline {AP}</math><del style="font-weight: bold; text-decoration: none;">= </del><math>\overline {BP}</math>______________________6)--[[Benutzer:Engel82|Engel82]] 17:22, 25. Jan. 2011 (UTC) </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>7) <math>\overline {AP}</math><ins style="font-weight: bold; text-decoration: none;"><math>\cong</math> </ins><math>\overline {BP}</math>______________________6)--[[Benutzer:Engel82|Engel82]] 17:22, 25. Jan. 2011 (UTC) </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>
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<td colspan="2" class="diff-lineno">Zeile 34:</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>************Kannst du die Punkte A und B verwenden um die Winkel zu beschreiben und alles wenn du sie erst in Schritt 2 als Lotfußpunkte festlegst?--[[Benutzer:Einfach ich|Einfach ich]] 10:47, 2. Feb. 2011 (UTC)</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>************Kannst du die Punkte A und B verwenden um die Winkel zu beschreiben und alles wenn du sie erst in Schritt 2 als Lotfußpunkte festlegst?--[[Benutzer:Einfach ich|Einfach ich]] 10:47, 2. Feb. 2011 (UTC)</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;">Wenn man es ganz genau nimmt, müsste man in die Behauptung folgendes schreiben:</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;">P hat sowohl zum Strahl p als auch zum Strahl q ein und denselben Abstand. Und in Schritt zwei werden dann die Lotfußpunkte festgelegt.</ins></div></td></tr>
</table>
Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6254&oldid=prev
Einfach ich am 2. Februar 2011 um 10:47 Uhr
2011-02-02T10:47:17Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 2. Februar 2011, 10:47 Uhr</td>
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<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;"></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;">************Kannst du die Punkte A und B verwenden um die Winkel zu beschreiben und alles wenn du sie erst in Schritt 2 als Lotfußpunkte festlegst?--[[Benutzer:Einfach ich|Einfach ich]] 10:47, 2. Feb. 2011 (UTC)</ins></div></td></tr>
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Einfach ich
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6253&oldid=prev
Engel82 am 1. Februar 2011 um 12:03 Uhr
2011-02-01T12:03:31Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 1. Februar 2011, 12:03 Uhr</td>
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<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)<math>\triangle {SAP}</math> <math>\cong</math><math>\triangle {SPB}</math>__________________SsW, 1),3),4),Korollar 1 und Satz:der größeren Seite liegt der größere Winkel gegenüber.<br /></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)<math>\triangle {SAP}</math> <math>\cong</math><math>\triangle {SPB}</math>__________________SsW, 1),3),4),Korollar 1 und Satz:der größeren Seite liegt der größere Winkel gegenüber.<br /></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>6)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math>_________________________5)<br /></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>6)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math>_________________________5)<br /></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>7)SP+ ist Winkelhalbierende ____________________6)</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>7)SP+ ist Winkelhalbierende ____________________6)<ins style="font-weight: bold; text-decoration: none;"><br /></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><math>P \in w</math>--[[Benutzer:Engel82|Engel82]] 17:33, 25. Jan. 2011 (UTC)</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><math>P \in w</math>--[[Benutzer:Engel82|Engel82]] 17:33, 25. Jan. 2011 (UTC)</div></td></tr>
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Engel82
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufg._13.3&diff=6252&oldid=prev
Engel82 am 1. Februar 2011 um 12:02 Uhr
2011-02-01T12:02:59Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 1. Februar 2011, 12:02 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l24">Zeile 24:</td>
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<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)<math>\triangle {SAP}</math> <math>\cong</math><math>\triangle {SPB}</math>__________________SsW, 1),3),4),Korollar 1 und Satz:der größeren Seite liegt der größere Winkel gegenüber.<br /></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)<math>\triangle {SAP}</math> <math>\cong</math><math>\triangle {SPB}</math>__________________SsW, 1),3),4),Korollar 1 und Satz:der größeren Seite liegt der größere Winkel gegenüber.<br /></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>6)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math>_________________________5)<br /></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>6)<math>\angle ASP</math> <math>\cong</math><math>\angle PSB</math>_________________________5)<br /></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>7) <math>P \in w</math><del style="font-weight: bold; text-decoration: none;">, ____________________6)</del>--[[Benutzer:Engel82|Engel82]] 17:33, 25. Jan. 2011 (UTC)</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>7)<ins style="font-weight: bold; text-decoration: none;">SP+ ist Winkelhalbierende ____________________6)</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><math>P \in w</math>--[[Benutzer:Engel82|Engel82]] 17:33, 25. Jan. 2011 (UTC)</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>*********** Muss das bei Schritt 5 nicht Dreieck SAP und Dreieck SPB heißen ????! **********************</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>*********** Muss das bei Schritt 5 nicht Dreieck SAP und Dreieck SPB heißen ????! **********************</div></td></tr>
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Engel82