https://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=Pfeilklassen_2012_13 Pfeilklassen 2012 13 - Versionsgeschichte 2026-07-01T09:52:22Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.8 https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19556&oldid=prev *m.g.*: /* Definition der Addition von Pfeilklassen */ 2012-12-12T14:36:42Z <p><span class="autocomment">Definition der Addition von Pfeilklassen</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 12. Dezember 2012, 14:36 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l56">Zeile 56:</td> <td colspan="2" class="diff-lineno">Zeile 56:</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;u&gt;Kommentar --[[Benutzer:*m.g.*|*m.g.*]] 15:35, 12. Dez. 2012 (CET):&lt;/u&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;u&gt;Kommentar --[[Benutzer:*m.g.*|*m.g.*]] 15:35, 12. Dez. 2012 (CET):&lt;/u&gt;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Das passte so. Ich hab versucht, die Definition ein wenig lesbarer zu gestalten. Ob mir das gelungen ist, bleibt abzuwarten.</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>Das passte so <ins style="font-weight: bold; text-decoration: none;">schon ganz gut</ins>. Ich hab versucht, die Definition ein wenig lesbarer zu gestalten. Ob mir das gelungen ist, bleibt abzuwarten.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19555&oldid=prev *m.g.*: /* Definition der Addition von Pfeilklassen */ 2012-12-12T14:35:39Z <p><span class="autocomment">Definition der Addition von Pfeilklassen</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 12. Dezember 2012, 14:35 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l55">Zeile 55:</td> <td colspan="2" class="diff-lineno">Zeile 55:</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;math&gt;\vec{AN}&lt;/math&gt; ist ein Repräsentant der Pfeilklasse &lt;math&gt;\vec{w}&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>&lt;math&gt;\vec{AN}&lt;/math&gt; ist ein Repräsentant der Pfeilklasse &lt;math&gt;\vec{w}&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;"><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;u&gt;Kommentar --[[Benutzer:*m.g.*|*m.g.*]] 15:35, 12. Dez. 2012 (CET):&lt;/u&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;">Das passte so. Ich hab versucht, die Definition ein wenig lesbarer zu gestalten. Ob mir das gelungen ist, bleibt abzuwarten.</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 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;">Es bleibt zu zeigen:</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;">Satz:(Wohldefiniertheit der Pfeilklassenaddition)&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 Addition von Pfeilklassen ist repräsentantenunabhängig.</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;!--- hier drunter nichts eintragen ---&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;!--- hier drunter nichts eintragen ---&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>[[Kategorie:Linalg]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie:Linalg]]</div></td></tr> <!-- diff cache key zum_geometrie:diff:1.41:old-19554:rev-19555:php=table --> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19554&oldid=prev *m.g.*: /* Definition der Addition von Pfeilklassen */ 2012-12-12T14:31:34Z <p><span class="autocomment">Definition der Addition von Pfeilklassen</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 12. Dezember 2012, 14:31 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l49">Zeile 49:</td> <td colspan="2" class="diff-lineno">Zeile 49:</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>=Addition von Pfeilklassen=</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>=Addition von Pfeilklassen=</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>==Definition der Addition von Pfeilklassen==</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>==Definition der Addition von Pfeilklassen==</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>{{Definition|P.3 (Addition auf der Menge der Pfeilklassen)&lt;br /&gt;Es seien &lt;math&gt;\vec{u}&lt;/math&gt; und &lt;math&gt;\vec{v}&lt;/math&gt; zwei Pfeilklassen. <del style="font-weight: bold; text-decoration: none;">Ferner seien</del>...&lt;br /&gt;&lt;br /&gt;}}  </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Definition|P.3 (Addition auf der Menge der Pfeilklassen)&lt;br /&gt;Es seien &lt;math&gt;\vec{u}&lt;/math&gt; und &lt;math&gt;\vec{v}&lt;/math&gt; zwei Pfeilklassen. <ins style="font-weight: bold; text-decoration: none;">Es sei &lt;math&gt;\vec{AB}&lt;/math&gt; ein Repräsentant der Pfeilklasse &lt;math&gt;\vec{u}&lt;/math&gt;</ins>. <ins style="font-weight: bold; text-decoration: none;">Aus der Pfeilklasse &lt;math&gt;\vec{v}&lt;/math&gt; wählen wir als Repräsentanten den Pfeil, der &lt;math&gt;B&lt;/math&gt; als Anfangspunkt hat: &lt;math&gt;\vec{BC} \in \vec{v}&lt;/math&gt;</ins>. <ins style="font-weight: bold; text-decoration: none;">Die Summe  &lt;math&gt;\vec{u}+\vec{v}&lt;/math&gt; ist die Pfeilklasse, zu der der Pfeil &lt;math&gt;\vec{AC}&lt;/math&gt; gehört</ins>.&lt;br /&gt;&lt;br /&gt;}}  </div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Ich habe versucht die Definition zu vervollständigen, stimmt das so? --[[Benutzer:Jessy*|Jessy*]] 17:20, 11. Dez. 2012 (CET)&lt;br /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Ich habe versucht die Definition zu vervollständigen, stimmt das so? --[[Benutzer:Jessy*|Jessy*]] 17:20, 11. Dez. 2012 (CET)&lt;br /&gt;&lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{BN}&lt;/math&gt; jeweils ein Repäsentant von &lt;math&gt;\vec{u}&lt;/math&gt; und einer von &lt;math&gt;\vec{v}&lt;/math&gt;. Es gilt:&lt;br /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{BN}&lt;/math&gt; jeweils ein Repäsentant von &lt;math&gt;\vec{u}&lt;/math&gt; und einer von &lt;math&gt;\vec{v}&lt;/math&gt;. Es gilt:&lt;br /&gt;&lt;br /&gt;</div></td></tr> <!-- diff cache key zum_geometrie:diff:1.41:old-19553:rev-19554:php=table --> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19553&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:24:17Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:24 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l27">Zeile 27:</td> <td colspan="2" class="diff-lineno">Zeile 27:</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>{{Definition|P.0 (gleichorientierte nicht kollineare Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls &lt;math&gt;AB \|| CD&lt;/math&gt; gilt und das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>{{Definition|P.0 (gleichorientierte nicht kollineare Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls &lt;math&gt;AB \|| CD&lt;/math&gt; gilt und das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>&lt;ggb_applet width="605" height="463"  version="4.2" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&gt;</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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text-decoration: none;">/&gt;&lt;br </ins>/&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 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;">Sollten &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; auf ein und derselben Geraden liegen, wählen wir zwei Punkte &lt;math&gt;C', D'&lt;/math&gt; derart, dass &lt;math&gt;\overline{CDD'C'}&lt;/math&gt; ein Parallelogramm ist und vergleichen &lt;math&gt;\vec{AB}&lt;/math&gt; mit &lt;math&gt;\vec{C'D'}&lt;/math&gt;. &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; sind dann gleichorientiert, falls &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{C'D'}&lt;/math&gt; gleichorientiert sind.</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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19550&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:18:42Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:18 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l26">Zeile 26:</td> <td colspan="2" class="diff-lineno">Zeile 26:</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>{{Definition|P.0 (gleichorientierte nicht kollineare Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls &lt;math&gt;AB \|| CD&lt;/math&gt; gilt und das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>{{Definition|P.0 (gleichorientierte nicht kollineare Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls &lt;math&gt;AB \|| CD&lt;/math&gt; gilt und das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;ggb_applet width="605" height="463"  version="4.2" ggbBase64="UEsDBBQACAgIAEp6jEEAAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc0srzUsuyczPU0hPT/LP88zLLNHQVKiuBQBQSwcI1je9uRkAAAAXAAAAUEsDBBQACAgIAEp6jEEAAAAAAAAAAAAAAAAMAAAAZ2VvZ2VicmEueG1s1Vltb9w2Ev6c/gpCH/rhYGv5Lildp0gcFA3gNsE5Vxzuy4Er0VrVWkmVqPU6yI+/ISntq+P4LTnXyZqiOBxynnlmhlxPf14tSrTUbVfU1UlAQhwgXaV1VlT5SdCbi+M4+PnVD9Nc17metQpd1O1CmZOAhzTYzINeyO3cIjsJlIpnWPD0OEsifsxjHh0nmKrjRCWcklkaRzoNEFp1xcuq/l0tdNeoVJ+nc71QZ3WqjFM5N6Z5OZlcXV2F4+Jh3eaTPJ+Fqy4LEGy86k6C4eElqNuZdMWcOMWYTP7925lXf1xUnVFVqgNkjeqLVz+8mF4VVVZfoasiM/OTQDIwbK6LfA5WSgw2TaxQA6Y2OjXFUncwdavrbDaLJnBiqrLjL/wTKtfmBCgrlkWm25MAh4xILoRMJMVUQCcKUN0WujKDMBkWnYzqpstCX3m99sktyXEC85ZFV8xKfRJcqLIDs4rqogVIYUdtD93OXJd6ptqxv9kQOYJ/IFB80lYX2OlxgI4gR1SKowjjIyEGALYXDpCp69JpxUgk6PNnBIZgdGQb4hsKjZR+CPt3mPmG+ob7RngZ7qdzL8q9DPcynN1i59DfGDq82LF0tJNt20nAPvsBJx9xfGhnvGUnsUZ8RsTu3jUM2X0Tt3/b8KErfTdyDcG+IcNgbH85vOQjLWIPsohsrer58OVFD/gyriixuPuK9FF2rq2kN1lJxResfCS446JEbC0Ka7n/7nOwJLuXnV+E9h4rSv6Y2H/AghH+HgtOJ2Ommw6xh7q5lR3oavSis1mHJS7xIIIEBKaMIE8IRBJoIhugFBGBuIAuiZG0bYSYjUmOGIqRlSMMufQiYvjFXbxKJECXfRn5wEWMI8EQcUmJI0hFyCU2SHKUgYQQSMAkuzqxyzKJuIQOixGHDdqUFtm0wWAe9GFxihhBzM4lEaISSYoimxYJt9lSxnbvoJQiiZG0UyEvQk70+RBmxIhZa4DhTd0Va3DnumzWXnE4FlXTmx3s0kU2Ppp6Tzqr08s3e1hr1ZnxGYSgGG1qni9OOyXxxbRUM13CueHc0gChpSptBDv9F3Vl0EgB6t/lrWrmRdqda2NgVof+VEt1poxe/QLS3bhBt7Sr1FPdp2WRFar6AzhiVViFaF24bV4aCzdnwq+S1nWbnV93QBy0+o9ua0gmhIfJ9g+E0rUfYkSEePsHgO5SZSnPk91JUB2uhyGBdycRv7Rerk1TK702COWtjaetzrvuTV1uXjV1UZlT1Zi+dacwyIKttep1lZfagevyKhxo0stZvTr3qDKv6+N1Az3sdzDLT+uybhFEJBWATj60M986Gbu1tRR2MthJ4NFNRbYeJwl1Eq6d+dZJgd/91gZTyWgmweMyRefyCCj3LBsTr2WNPR/1VWHOxo4p0svBVOIn/N4vZkC4gZG7OslT6ZxO9jg2vdRtpUvPpAqc2dd956m9pueLad/pD8rMX1fZP3UOMflB2bRoQLUX3Ww502mxgIn+/QCeso79F2zVv8103urRxNKdfD20bhRv8/rgtVP1S1sv3lXLj8Cava1OJ6M90y5ti8ayE80gT1/qDf+yolOQ5bPteWB8B1akNuMAkMaCGCDVm3ndusMtxK0NbfRWf9IWVMiVEOg2aEu9gJMtMo6YjttrB712Z2brCVTP/oRUsq4cfnyDGwzfSFJHZ1U2c2XP1QMIpbqGDWzD4vT9Vmf7YIEvnEWQHhrPikZrTyi/X3hoQJ2Lwy2HO/Q7tDoJjmmIbSqwd6cIHj75S5S/M1hjbXju5EL/ds9zQDyP01cQe/P3R4yGsXSAsVDKJwEsrRcLVWWocmeRPwCVug02RVBhyzSkiIXPY9ObcaD3ygYVB+gvvbIR3v4r8G8Z/CX88cPR32AIBYztVCMxUDCO9yqRxXez0DpLG6i8l3C37FwpMUPRcA+/Flmm3bFiP9F0PnmmqjW6gxTpBeBC3ZoP1kdIrxoL9T34fPpfcgjpbhb/G1Aah3zAH/NvwOgzcNseny1ujtH9AaPV7Yy2HFhjq74G/vci9PFN1L2+meiA7zEPWSzkw1mt/6p2OF0smrJIC3O7IxzL9zyhDhzw9nYH7AbA2wcldEL9ac61Tx0BOHxYWo8woyKWnBOORRLRISQSIgVnUSQEpnGSfIuUfze/nN7HL6ff3S/vLy46bVwwRA46yr6913BI4TrEIMa4FJTSJPaHGRyCAzG4DUsuZczxd6vUpz6vvT1w3/JelXr5TCo1DXlMYsolT3gcMxnJEV/Ohb1gJpjBzTX5PxTq09u9c65z+37PPW+8e04P3DO73T3doG3Ef/Zs/CPjKBGSJkwwuP4nzPkHjvXSVhiJsWA8iqKB/olMRCIFlCoJH8rv4i5ys78Au9JG5rvKXhS1u1odXi0vtW7snf599bFVVWf//LJ7p7yvA996B74+cGB6Pwemz8SBkPfYToERgwc53Md2CpJzYRxGSUwJ5LxEEvD6s/bgma5yM99z4OGJL7vdc1W/0G2Rrj2TOYWwhX7AVIQUqM5xQiVhJBbs7m4jDzBgeWCAvp8Bet8ACFYheES5iKjAULjEIyyA3NiC+21lHakc+ITZo3+gpf8y9PYNXuxvkPAQMxFHLAbySXtOetINftQrQ4ZN/vhXX5uf8lIX6Vyj9+7PioVu+yr3I8Hh9g1MD3Z13Tm207rKCn8MAfH34yUC/ZibnxD+ZvG/Vct8EsAu6IVtN+eUr6NGd1ADyVznwFkNJ7FP5qHw0SeAr3xm8E22vwF0X8kPf5R/9T9QSwcIC3K+lxsIAABDIAAAUEsBAhQAFAAICAgASnqMQdY3vbkZAAAAFwAAABYAAAAAAAAAAAAAAAAAAAAAAGdlb2dlYnJhX2phdmFzY3JpcHQuanNQSwECFAAUAAgICABKeoxBC3K+lxsIAABDIAAADAAAAAAAAAAAAAAAAABdAAAAZ2VvZ2VicmEueG1sUEsFBgAAAAACAAIAfgAAALIIAAAAAA==" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&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;"></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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;math&gt;|AB|=|CD|&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># &lt;math&gt;|AB|=|CD|&lt;/math&gt;</div></td></tr> <!-- diff cache key zum_geometrie:diff:1.41:old-19547:rev-19550:php=table --> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19547&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:10:45Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:10 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Zeile 25:</td> <td colspan="2" class="diff-lineno">Zeile 25:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</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>{{Definition|P.0 (gleichorientierte nicht kollineare Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls <del style="font-weight: bold; text-decoration: none;"> </del>das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>{{Definition|P.0 (gleichorientierte nicht kollineare Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls <ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;AB \|| CD&lt;/math&gt; gilt und </ins>das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;math&gt;|AB|=|CD|&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># &lt;math&gt;|AB|=|CD|&lt;/math&gt;</div></td></tr> <!-- diff cache key zum_geometrie:diff:1.41:old-19546:rev-19547:php=table --> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19546&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:08:48Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:08 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Zeile 25:</td> <td colspan="2" class="diff-lineno">Zeile 25:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</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>{{Definition|P.0 (gleichorientierte Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls  das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>{{Definition|P.0 (gleichorientierte <ins style="font-weight: bold; text-decoration: none;">nicht kollineare </ins>Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls  das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}}</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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;math&gt;|AB|=|CD|&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># &lt;math&gt;|AB|=|CD|&lt;/math&gt;</div></td></tr> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19545&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:08:18Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:08 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Zeile 25:</td> <td colspan="2" class="diff-lineno">Zeile 25:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</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>{{Definition|P.0 (gleichorientierte Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls  das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}</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>{{Definition|P.0 (gleichorientierte Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls  das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.<ins style="font-weight: bold; text-decoration: none;">}</ins>}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;math&gt;|AB|=|CD|&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># &lt;math&gt;|AB|=|CD|&lt;/math&gt;</div></td></tr> <!-- diff cache key zum_geometrie:diff:1.41:old-19544:rev-19545:php=table --> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19544&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:07:56Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:07 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l24">Zeile 24:</td> <td colspan="2" class="diff-lineno">Zeile 24:</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>==Definition parallelgleich==</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>==Definition parallelgleich==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; 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showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;ggb_applet width=&quot;510&quot; height=&quot;463&quot;  version=&quot;4.2&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;false&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;false&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;false&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;&lt;br /&gt;</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;">{{Definition|P.0 (gleichorientierte Pfeile}&lt;br /&gt;Zwei nicht kollineare Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen gleichorientiert, falls  das Viereck &lt;math&gt;\overline{ABCD}&lt;/math&gt; ein überschlagenes Viereck ist.}</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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;math&gt;|AB|=|CD|&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># &lt;math&gt;|AB|=|CD|&lt;/math&gt;</div></td></tr> </table> *m.g.* https://geometrie.idea-sketch.com/index.php?title=Pfeilklassen_2012_13&diff=19542&oldid=prev *m.g.*: /* Definition parallelgleich */ 2012-12-12T14:00:40Z <p><span class="autocomment">Definition parallelgleich</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 12. Dezember 2012, 14:00 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l23">Zeile 23:</td> <td colspan="2" class="diff-lineno">Zeile 23:</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>=Pfeilklassen=</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>=Pfeilklassen=</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>==Definition parallelgleich==</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>==Definition parallelgleich==</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;ggb_applet width="510" height="463"  version="4.2" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /&gt;&lt;br /&gt;</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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &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>{{Definition|P.1 (parallelgleich)&lt;br /&gt;Zwei Pfeile &lt;math&gt;\vec{AB}&lt;/math&gt; und &lt;math&gt;\vec{CD}&lt;/math&gt; heißen parallelgleich, wenn &lt;br /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># &lt;math&gt;|AB|=|CD|&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># &lt;math&gt;|AB|=|CD|&lt;/math&gt;</div></td></tr> <!-- diff cache key zum_geometrie:diff:1.41:old-19541:rev-19542:php=table --> </table> *m.g.*