http://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=Dreieckskongruenz_WS_11%2F12 Dreieckskongruenz WS 11/12 - Versionsgeschichte 2026-08-02T09:24:28Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.9 http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10941&oldid=prev RicRic: /* SsW-Kongruenzsatz */ 2012-01-31T18:15:46Z <p><span class="autocomment">SsW-Kongruenzsatz</span></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 31. Januar 2012, 18:15 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l275">Zeile 275:</td> <td colspan="2" class="diff-lineno">Zeile 275:</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>[[Bild:Idee SsW.JPG|500px]]</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>[[Bild:Idee SsW.JPG|500px]]</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>Sehr gut! Mit Skizze lässt sich dein Beweis gut nachvollziehen. Allerdings musst du die Begründung für Schritt (7) noch ändern, denn Vor4 gibt es leider nicht!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29. Jan. 2012 (CET)</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>Sehr gut! Mit Skizze lässt sich dein Beweis gut nachvollziehen. Allerdings musst du die Begründung für Schritt (7) noch ändern, denn Vor4 gibt es leider nicht!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29<ins style="font-weight: bold; text-decoration: none;">. Jan. 2012 (CET)&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;">Die Dreieke müssen in dem Winkel übereinstimmen, der der längeren Seite gegenüber liegt. Somit Reicht mir doch als Begründung für Schritt (7) die Vor3. --[[Benutzer:RicRic|RicRic]] 19:15, 31</ins>. Jan. 2012 (CET)</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10921:rev-10941:php=table --> </table> RicRic http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10921&oldid=prev Tutorin Anne: /* SsW-Kongruenzsatz */ 2012-01-29T17:07:13Z <p><span class="autocomment">SsW-Kongruenzsatz</span></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 29. Januar 2012, 17:07 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l272">Zeile 272:</td> <td colspan="2" class="diff-lineno">Zeile 272:</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>| (8) &lt;math&gt;\left| \angle ABD \right| &lt; \left|  \angle ACD\right|&lt;/math&gt; &lt;br /&gt;Wiederspruch zu (6) und (7)&lt;br /&gt;Ann verwerfen Beh., Stimmt, betrift auch das Deieck A&#039;B&#039;C&#039; wegen (2)|| schwacher Ausenwinkelsatz, ist Außenwikel von &lt;math&gt;\overline{ABC}&lt;/math&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>| (8) &lt;math&gt;\left| \angle ABD \right| &lt; \left|  \angle ACD\right|&lt;/math&gt; &lt;br /&gt;Wiederspruch zu (6) und (7)&lt;br /&gt;Ann verwerfen Beh., Stimmt, betrift auch das Deieck A&#039;B&#039;C&#039; wegen (2)|| schwacher Ausenwinkelsatz, ist Außenwikel von &lt;math&gt;\overline{ABC}&lt;/math&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>|}--[[Benutzer:RicRic|RicRic]] 16:17, 28. Jan. 2012 (CET)</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>|}--[[Benutzer:RicRic|RicRic]] 16:17, 28. Jan. 2012 (CET)</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Bild:Idee SsW.JPG|500px]]</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>&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Sehr gut! Mit Skizze lässt sich dein Beweis gut nachvollziehen. Allerdings musst du die Begründung für Schritt (7) noch ändern, denn Vor4 gibt es leider nicht!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29. Jan. 2012 (CET)</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>Sehr gut! Mit Skizze lässt sich dein Beweis gut nachvollziehen. Allerdings musst du die Begründung für Schritt (7) noch ändern, denn Vor4 gibt es leider nicht!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29. Jan. 2012 (CET)</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10919:rev-10921:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10919&oldid=prev Tutorin Anne: /* SsW-Kongruenzsatz */ 2012-01-29T16:52:33Z <p><span class="autocomment">SsW-Kongruenzsatz</span></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 29. Januar 2012, 16:52 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l246">Zeile 246:</td> <td colspan="2" class="diff-lineno">Zeile 246:</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>2. &lt;math&gt;\overline{AC} \tilde {=} \overline{A&#039;C&#039;}&lt;/math&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>2. &lt;math&gt;\overline{AC} \tilde {=} \overline{A&#039;C&#039;}&lt;/math&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>3. &lt;math&gt;\left| AB \right| &gt;\left| AC \right|&lt;/math&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>3. &lt;math&gt;\left| AB \right| &gt;\left| AC \right|&lt;/math&gt; ;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>4. &lt;math&gt;\left| AB \right| &gt;\left| BC \right|&lt;/math&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>4. &lt;math&gt;\left| AB \right| &gt;\left| BC \right|&lt;/math&gt; ; <ins style="font-weight: bold; text-decoration: none;">Dies muss nicht gelten! --[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29. Jan. 2012 (CET)</ins>&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>5. &lt;math&gt;\angle ACB  \tilde {=} \angle A&#039;C&#039;B&#039;&lt;/math&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>5. &lt;math&gt;\angle ACB  \tilde {=} \angle A&#039;C&#039;B&#039;&lt;/math&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>Beh.: &lt;math&gt;\overline{ABC} \tilde {=} \overline{A&#039;B&#039;C&#039;}&lt;/math&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>Beh.: &lt;math&gt;\overline{ABC} \tilde {=} \overline{A&#039;B&#039;C&#039;}&lt;/math&gt;&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;"> Es genügt zu zeigen, dass &lt;math&gt;\left| BC \right| = \left| B'C' \right|&lt;/math&gt;, da nach SSS die Dreiecke dann kongruent sind. --[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29. Jan. 2012 (CET)</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>Ann.: o.B.d.A. &lt;math&gt;\left| BC \right| &lt; \left| B&#039;C&#039; \right|&lt;/math&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>Ann.: o.B.d.A. &lt;math&gt;\left| BC \right| &lt; \left| B&#039;C&#039; \right|&lt;/math&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>Beweis:</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>Beweis:</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l271">Zeile 271:</td> <td colspan="2" class="diff-lineno">Zeile 272:</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>| (8) &lt;math&gt;\left| \angle ABD \right| &lt; \left|  \angle ACD\right|&lt;/math&gt; &lt;br /&gt;Wiederspruch zu (6) und (7)&lt;br /&gt;Ann verwerfen Beh., Stimmt, betrift auch das Deieck A&#039;B&#039;C&#039; wegen (2)|| schwacher Ausenwinkelsatz, ist Außenwikel von &lt;math&gt;\overline{ABC}&lt;/math&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>| (8) &lt;math&gt;\left| \angle ABD \right| &lt; \left|  \angle ACD\right|&lt;/math&gt; &lt;br /&gt;Wiederspruch zu (6) und (7)&lt;br /&gt;Ann verwerfen Beh., Stimmt, betrift auch das Deieck A&#039;B&#039;C&#039; wegen (2)|| schwacher Ausenwinkelsatz, ist Außenwikel von &lt;math&gt;\overline{ABC}&lt;/math&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>|}--[[Benutzer:RicRic|RicRic]] 16:17, 28. Jan. 2012 (CET)</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>|}--[[Benutzer:RicRic|RicRic]] 16:17, 28. Jan. 2012 (CET)</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Sehr gut! Mit Skizze lässt sich dein Beweis gut nachvollziehen. Allerdings musst du die Begründung für Schritt (7) noch ändern, denn Vor4 gibt es leider nicht!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 17:52, 29. Jan. 2012 (CET)</ins></div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10899:rev-10919:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10899&oldid=prev RicRic: /* SsW-Kongruenzsatz */ 2012-01-28T15:17:27Z <p><span class="autocomment">SsW-Kongruenzsatz</span></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 28. Januar 2012, 15:17 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l242">Zeile 242:</td> <td colspan="2" class="diff-lineno">Zeile 242:</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>== SsW-Kongruenzsatz==</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>== SsW-Kongruenzsatz==</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>[[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;">Vor: &lt;math&gt;\overline{ABC}&lt;/math&gt; ; &lt;math&gt;\overline{A'B'C'}&lt;/math&gt;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">1. &lt;math&gt;\overline{AB} \tilde {=} \overline{A'B'}&lt;/math&gt; ;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">2. &lt;math&gt;\overline{AC} \tilde {=} \overline{A'C'}&lt;/math&gt; ;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">3. &lt;math&gt;\left| AB \right| &gt;\left| AC \right|&lt;/math&gt; ;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">4. &lt;math&gt;\left| AB \right| &gt;\left| BC \right|&lt;/math&gt; ; &lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">5. &lt;math&gt;\angle ACB  \tilde {=} \angle A'C'B'&lt;/math&gt; &lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Beh.: &lt;math&gt;\overline{ABC} \tilde {=} \overline{A'B'C'}&lt;/math&gt;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Ann.: o.B.d.A. &lt;math&gt;\left| BC \right| &lt; \left| B'C' \right|&lt;/math&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;">Beweis:</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;">{| class="wikitable sortable" </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;">!Überschrift 1!!Überschrift 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;">| (1) &lt;math&gt;\exists D: D\in \ CB^{+} \wedge \left| B'C' \right| = \left| CD \right|&lt;/math&gt;  || Axiome Abstand und Lineal</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) &lt;math&gt;\overline{ABD} \tilde {=} \overline{A'B'C'}&lt;/math&gt; || SWS, (1), Ann., Vor2, Vor5</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) &lt;math&gt;\overline{AD}  \tilde {=} \overline{A'B'} \tilde {=} \overline{AB}&lt;/math&gt;  || (2), Vor.1</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) &lt;math&gt;\exists \overline{ABD}&lt;/math&gt;  || (1),Ann.</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) &lt;math&gt;\overline{ABD}&lt;/math&gt; ist gl.schenklig  || (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) &lt;math&gt;\angle ABD  \tilde {=} \angle ADB&lt;/math&gt;  || (5) Basiswinkelsatz</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;">| (7) &lt;math&gt;\left| \angle ADB \right| &lt; \left|  \angle ACD\right|&lt;/math&gt; || Vor3, Vor4, Satz der gr. Seite liegt der gr. Winkel gegenüber</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;">| (8) &lt;math&gt;\left| \angle ABD \right| &lt; \left|  \angle ACD\right|&lt;/math&gt; &lt;br /&gt;Wiederspruch zu (6) und (7)&lt;br /&gt;Ann verwerfen Beh., Stimmt, betrift auch das Deieck A'B'C' wegen (2)|| schwacher Ausenwinkelsatz, ist Außenwikel von &lt;math&gt;\overline{ABC}&lt;/math&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;">|}--[[Benutzer:RicRic|RicRic]] 16:17, 28. Jan. 2012 (CET)</ins></div></td></tr> </table> RicRic http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10863&oldid=prev Tutorin Anne: /* weitere Beweisideen */ 2012-01-25T17:27:07Z <p><span class="autocomment">weitere Beweisideen</span></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 25. Januar 2012, 17:27 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l238">Zeile 238:</td> <td colspan="2" class="diff-lineno">Zeile 238:</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>Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!&lt;br /&gt;(Die ersten Schritte der Applikation sind für den Beweis unwichtig. Ich musste nur erst mal die Voraussetzung konstruieren (wobei ich darauf zurückgegriffen habe, dass die Behauptung stimmt :)). --[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&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>Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!&lt;br /&gt;(Die ersten Schritte der Applikation sind für den Beweis unwichtig. Ich musste nur erst mal die Voraussetzung konstruieren (wobei ich darauf zurückgegriffen habe, dass die Behauptung stimmt :)). --[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&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>Prima, dann können wir ja den SsW angehen.--[[Benutzer:RicRic|RicRic]] 17:42, 25. Jan. 2012 (CET)</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>Prima, dann können wir ja den SsW angehen.--[[Benutzer:RicRic|RicRic]] 17:42, 25. Jan. 2012 (CET)</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 class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>... <ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></div></td></tr> <tr><td 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 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 dann, viel Freude!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 18:27, 25. Jan. 2012 (CET)</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;">== SsW-Kongruenzsatz==</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>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10853:rev-10863:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10853&oldid=prev RicRic: /* weitere Beweisideen */ 2012-01-25T16:42:30Z <p><span class="autocomment">weitere Beweisideen</span></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 25. Januar 2012, 16:42 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l237">Zeile 237:</td> <td colspan="2" class="diff-lineno">Zeile 237:</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;739&quot; height=&quot;463&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; 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showResetIcon = &quot;false&quot; showAnimationButton = &quot;true&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!&lt;br /&gt;(Die ersten Schritte der Applikation sind für den Beweis unwichtig. Ich musste nur erst mal die Voraussetzung konstruieren (wobei ich darauf zurückgegriffen habe, dass die Behauptung stimmt :)). --[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&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>Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!&lt;br /&gt;(Die ersten Schritte der Applikation sind für den Beweis unwichtig. Ich musste nur erst mal die Voraussetzung konstruieren (wobei ich darauf zurückgegriffen habe, dass die Behauptung stimmt :)). --[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&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> </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;">Prima, dann können wir ja den SsW angehen.--[[Benutzer:RicRic|RicRic]] 17:42, 25. Jan. 2012 (CET)</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>...</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>...</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>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10824:rev-10853:php=table --> </table> RicRic http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10824&oldid=prev Tutorin Anne: /* weitere Beweisideen */ 2012-01-25T11:58:08Z <p><span class="autocomment">weitere Beweisideen</span></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 25. Januar 2012, 11:58 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l236">Zeile 236:</td> <td colspan="2" class="diff-lineno">Zeile 236:</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>&lt;ggb_applet width=&quot;739&quot; height=&quot;463&quot;  version=&quot;4.0&quot; 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showResetIcon = &quot;false&quot; showAnimationButton = &quot;true&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&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>Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!<ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;(Die ersten Schritte der Applikation sind für den Beweis unwichtig. Ich musste nur erst mal die Voraussetzung konstruieren (wobei ich darauf zurückgegriffen habe, dass die Behauptung stimmt :)). </ins>--[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <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>...</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>...</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>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10823:rev-10824:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10823&oldid=prev Tutorin Anne: /* weitere Beweisideen */ 2012-01-25T11:55:55Z <p><span class="autocomment">weitere Beweisideen</span></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 25. Januar 2012, 11:55 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l233">Zeile 233:</td> <td colspan="2" class="diff-lineno">Zeile 233:</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>|-</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>|-</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>| (15) &lt;math&gt;\overline{ABC} \tilde {=} \overline{A&#039;B&#039;C&#039;}&lt;/math&gt; q.e.d.|| (14),(4)</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>| (15) &lt;math&gt;\overline{ABC} \tilde {=} \overline{A&#039;B&#039;C&#039;}&lt;/math&gt; q.e.d.|| (14),(4)</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>|}--[[Benutzer:RicRic|RicRic]] 16:52, 20. Jan. 2012 (CET)</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>|}--[[Benutzer:RicRic|RicRic]] 16:52, 20. Jan. 2012 (CET)<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;">&lt;ggb_applet width="739" height="463"  version="4.0" ggbBase64="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" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&gt;&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Nach dem ich es dann visualisiert habe, habe ich es wieder nachvollziehen können. Gut!--[[Benutzer:Tutorin Anne|Tutorin Anne]] 12:55, 25. Jan. 2012 (CET)&lt;br /&gt;</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>...</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>...</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>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10727:rev-10823:php=table --> </table> Tutorin Anne http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10727&oldid=prev RicRic: /* weitere Beweisideen */ 2012-01-20T15:52:01Z <p><span class="autocomment">weitere Beweisideen</span></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. Januar 2012, 15:52 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l196">Zeile 196:</td> <td colspan="2" class="diff-lineno">Zeile 196:</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>Vor.: &lt;math&gt;\overline{AB} \tilde {=} \overline{A&#039;B&#039;} , \overline{CB} \tilde {=} \overline{C&#039;B&#039;} ,\overline{AC} \tilde {=} \overline{A&#039;C&#039;}&lt;/math&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>Vor.: &lt;math&gt;\overline{AB} \tilde {=} \overline{A&#039;B&#039;} , \overline{CB} \tilde {=} \overline{C&#039;B&#039;} ,\overline{AC} \tilde {=} \overline{A&#039;C&#039;}&lt;/math&gt; &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <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>Beh.: &lt;math&gt;\overline{ABC} \tilde {=} \overline{A'B'C'}&lt;/math&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>Beh.: &lt;math&gt;\overline{ABC} \tilde {=} \overline{A'B'C'}&lt;/math&gt; <ins style="font-weight: bold; text-decoration: none;">&lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Beweis: &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> </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;">{| class="wikitable sortable" </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;">!Überschrift 1!!Überschrift 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;">| (1) &lt;math&gt;\exists \angle BAD: \left| \angle BAD  \right|  =\left| \angle B'A'C'  \right| \wedge D\in \ AB,C^{-}&lt;/math&gt; || Winkelmaßaxiom, Winkelkonstruktionsaxiom</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) &lt;math&gt;\exists C'': C''\in \ AD^{+} \wedge \left| A'C' \right| =\left| AC'' \right|&lt;/math&gt;  || Abstsaxiom, Axiom vom Lineal</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) &lt;math&gt;\overline{AB} \tilde {=} \overline{A'B'}&lt;/math&gt;  || Vorr</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) &lt;math&gt;\overline{ABC''} \tilde {=} \overline{A'B'C'}&lt;/math&gt;  || SWS, (1),(2),(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;">| (5) &lt;math&gt;\overline{AC''} \tilde {=} \overline{A'C'} \tilde {=} \overline{AC}&lt;/math&gt;  || Vor, (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;">| (6) &lt;math&gt;\overline{AC''C}&lt;/math&gt;  ist gleichschenklig || (5)</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;">| (7) &lt;math&gt;\angle ACC'' \tilde {=} \angle AC''C&lt;/math&gt;  || Basiswinkelsatz (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><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;">| (8) &lt;math&gt;\overline{BC''} \tilde {=} \overline{B'C'} \tilde {=} \overline{BC}&lt;/math&gt;|| Vor, (4)</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;">| (9) &lt;math&gt;\overline{BC''C}&lt;/math&gt;  ist gleichschenklig || (8)</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;">| (10) &lt;math&gt;\angle BCC'' \tilde {=} \angle BC''C&lt;/math&gt;  || Basiswinkelsatz (9)</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;">| (11) &lt;math&gt;\left| \angle ACC'' \right| +\left| \angle BCC'' \right| =\left| \angle ACB \right|&lt;/math&gt;  || Winkeladitionosaxiom (7),(10)</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;">| (12) &lt;math&gt;\left| \angle ACC'' \right| +\left| \angle BCC'' \right| =\left| \angle ACB \right|&lt;/math&gt;  || Winkeladitionosaxiom  (7),(10)</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;">| (13) &lt;math&gt;\angle ACB \tilde {=} \angle AC''B&lt;/math&gt; || Rechen in R (11),(12)</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;">| (14) &lt;math&gt;\overline{ABC} \tilde {=} \overline{ABC''}&lt;/math&gt;  || Vor. (13) SWS</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;">| (15) &lt;math&gt;\overline{ABC} \tilde {=} \overline{A'B'C'}&lt;/math&gt; q.e.d.|| (14),(4)</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">|}--[[Benutzer:RicRic|RicRic]] 16:52, 20. Jan. 2012 (CET)</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> </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><del style="font-weight: bold; text-decoration: none;">schreibe nachher weiter--[[Benutzer:RicRic|RicRic]] 18:02, 19. Jan. 2012 (CET)</del></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;"><div>...</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>...</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>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10722:rev-10727:php=table --> </table> RicRic http://geometrie.idea-sketch.com/index.php?title=Dreieckskongruenz_WS_11/12&diff=10722&oldid=prev RicRic: /* weitere Beweisideen */ 2012-01-19T17:02:29Z <p><span class="autocomment">weitere Beweisideen</span></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 19. Januar 2012, 17:02 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l193">Zeile 193:</td> <td colspan="2" class="diff-lineno">Zeile 193:</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>===weitere Beweisideen===</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>===weitere Beweisideen===</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;">Vor.: &lt;math&gt;\overline{AB} \tilde {=} \overline{A'B'} , \overline{CB} \tilde {=} \overline{C'B'} ,\overline{AC} \tilde {=} \overline{A'C'}&lt;/math&gt; &lt;br /&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Beh.: &lt;math&gt;\overline{ABC} \tilde {=} \overline{A'B'C'}&lt;/math&gt; </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">schreibe nachher weiter--[[Benutzer:RicRic|RicRic]] 18:02, 19. Jan. 2012 (CET)</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>...</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>...</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>[[Category:Einführung_Geometrie]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Einführung_Geometrie]]</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-10673:rev-10722:php=table --> </table> RicRic