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Lösung von Aufgabe 4.1 P (WS 13/14) - Versionsgeschichte
2026-08-14T11:04:20Z
Versionsgeschichte dieser Seite in Geometrie-Wiki
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Tutorin Anne am 6. Januar 2014 um 14:52 Uhr
2014-01-06T14:52:50Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 6. Januar 2014, 14:52 Uhr</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Beim indirekten Beweis durch Kontraposition.<br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Beim indirekten Beweis durch Kontraposition.<br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>--[[Benutzer:EarlHickey|EarlHickey]] ([[Benutzer Diskussion:EarlHickey|Diskussion]]) 09:14, 6. Jan. 2014 (CET)<br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>--[[Benutzer:EarlHickey|EarlHickey]] ([[Benutzer Diskussion:EarlHickey|Diskussion]]) 09:14, 6. Jan. 2014 (CET)<br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </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;">* so ist es. Ohne diese Grundlage wäre ein Beweis durch Kontraposition nicht sinnvoll. So ist es z.B. bei der Umkehrung eines Satzes: Der Beweis der Umkehrung lässt noch keine Aussage zum Satz selber machen, da die Aussagen nicht äquivalent sind. --[[Benutzer:Tutorin Anne|Tutorin Anne]] ([[Benutzer Diskussion:Tutorin Anne|Diskussion]]) 15:52, 6. Jan. 2014 (CET)</ins></div></td></tr>
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Tutorin Anne
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_4.1_P_(WS_13/14)&diff=25659&oldid=prev
EarlHickey am 6. Januar 2014 um 08:14 Uhr
2014-01-06T08:14:26Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 6. Januar 2014, 08:14 Uhr</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Beweisen Sie mit Hilfe einer Wahrheitstabelle:<br /><br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Beweisen Sie mit Hilfe einer Wahrheitstabelle:<br /><br /></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>(\ A \Rightarrow B) \ \Leftrightarrow (\neg B \Rightarrow \neg A)</math><br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>(\ A \Rightarrow B) \ \Leftrightarrow (\neg B \Rightarrow \neg A)</math<ins style="font-weight: bold; text-decoration: none;">><br /</ins>><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
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<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;">! A !! B !! <math>(\ A \Rightarrow B) \ </math> !! <math> \neg B </math> !! <math> \neg A </math> !! <math> (\neg B \Rightarrow \neg A)</math></ins></div></td></tr>
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<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;">| w || f || f || w || f || f</ins></div></td></tr>
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<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;">| f || f || w || w || w || w</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;">|}<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:EarlHickey|EarlHickey]] ([[Benutzer Diskussion:EarlHickey|Diskussion]]) 09:14, 6. Jan. 2014 (CET)<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></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;"><br /></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Inwiefern hilft Ihnen diese Äquivalenz, wenn Sie einen geometrischen Satz beweisen wollen?<br /></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Inwiefern hilft Ihnen diese Äquivalenz, wenn Sie einen geometrischen Satz beweisen wollen?<br /></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;"><br /></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><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;">Beim indirekten Beweis durch Kontraposition.<br /></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:EarlHickey|EarlHickey]] ([[Benutzer Diskussion:EarlHickey|Diskussion]]) 09:14, 6. Jan. 2014 (CET)<br /></ins></div></td></tr>
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EarlHickey
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_4.1_P_(WS_13/14)&diff=25419&oldid=prev
Schnirch: Die Seite wurde neu angelegt: „Beweisen Sie mit Hilfe einer Wahrheitstabelle:<br /><br /> <math>(\ A \Rightarrow B) \ \Leftrightarrow (\neg B \Rightarrow \neg A)</math><br /> Inwiefern hilf…“
2013-11-14T09:10:56Z
<p>Die Seite wurde neu angelegt: „Beweisen Sie mit Hilfe einer Wahrheitstabelle:<br /><br /> <math>(\ A \Rightarrow B) \ \Leftrightarrow (\neg B \Rightarrow \neg A)</math><br /> Inwiefern hilf…“</p>
<p><b>Neue Seite</b></p><div>Beweisen Sie mit Hilfe einer Wahrheitstabelle:<br /><br /><br />
<math>(\ A \Rightarrow B) \ \Leftrightarrow (\neg B \Rightarrow \neg A)</math><br /><br />
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Inwiefern hilft Ihnen diese Äquivalenz, wenn Sie einen geometrischen Satz beweisen wollen?<br /><br />
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[[Category:Einführung_P]]</div>
Schnirch