http://geometrie.idea-sketch.com/index.php?action=history&feed=atom&title=L%C3%B6sung_04.07.2012%3A_Streckung_-_Drehung 2026-08-06T10:36:38Z Versionsgeschichte dieser Seite in Geometrie-Wiki MediaWiki 1.43.9 http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_04.07.2012:_Streckung_-_Drehung&diff=15958&oldid=prev 2012-07-04T13:02:34Z

<p><span class="autocomment">Berechnung der Winkel</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 4. Juli 2012, 13:02 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11">Zeile 11:</td> <td colspan="2" class="diff-lineno">Zeile 11:</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>===Berechnung der Winkel===</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>===Berechnung der Winkel===</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>Die Winkel lassen sich jetzt mittels Sinus-Cosinuswerten relativ einfach berechnen - rechtwinklige Dreiecke haben wir wohl genug.</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>Die Winkel lassen sich jetzt mittels Sinus-Cosinuswerten relativ einfach berechnen - rechtwinklige Dreiecke haben wir wohl genug. <ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:HecklF|Flo60]] 15:02, 4. Jul. 2012 (CEST)</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>=Zurück zur Hauptseite: Streckung - Drehung=</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>=Zurück zur Hauptseite: Streckung - Drehung=</div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-15957:rev-15958:php=table --> </table>

HecklF http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_04.07.2012:_Streckung_-_Drehung&diff=15957&oldid=prev 2012-07-04T13:01:55Z

<p><span class="autocomment">Berechnung der Winkel</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 4. Juli 2012, 13:01 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12">Zeile 12:</td> <td colspan="2" class="diff-lineno">Zeile 12:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Berechnung der Winkel===</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>===Berechnung der Winkel===</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>Die Winkel lassen sich jetzt mittels Sinus-Cosinuswerten relativ einfach berechnen - rechtwinklige Dreiecke haben wir wohl genug.</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>Die Winkel lassen sich jetzt mittels Sinus-Cosinuswerten relativ einfach berechnen - rechtwinklige Dreiecke haben wir wohl genug.</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;">=Zurück zur Hauptseite: Streckung - Drehung=</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;">[[04.07.2012: Streckung - Drehung]]</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;">[[Kategorie: Elementargeometrie]]</ins></div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-15956:rev-15957:php=table --> </table>

HecklF http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_04.07.2012:_Streckung_-_Drehung&diff=15956&oldid=prev 2012-07-04T13:00:58Z

<p><span class="autocomment">Vereinfachung der Skizze und Rechnen mit Pythagoras</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 4. Juli 2012, 13:00 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Zeile 7:</td> <td colspan="2" class="diff-lineno">Zeile 7:</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>==Vereinfachung der Skizze und Rechnen mit Pythagoras==</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>==Vereinfachung der Skizze und Rechnen mit Pythagoras==</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;">Da wir unseren Punkt F bereits berechnet haben, reicht es uns aus, mittels Pythagoras die Streckenlängen auszurechnen.&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; 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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;">===Berechnung der Winkel===</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 Winkel lassen sich jetzt mittels Sinus-Cosinuswerten relativ einfach berechnen - rechtwinklige Dreiecke haben wir wohl genug.</ins></div></td></tr> <!-- diff cache key geometrie:diff:1.41:old-15954:rev-15956:php=table --> </table>

HecklF http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_04.07.2012:_Streckung_-_Drehung&diff=15954&oldid=prev 2012-07-04T12:58:40Z

<p>Die Seite wurde neu angelegt: „Ich habe das auf eine extrige Seite gepackt - dann springt es nicht so ins Auge: &lt;br /&gt;&lt;br /&gt; Folgende Seitenlängen sind zu berechnen: Die orangen! Die &quot;Lange&quot; w…“</p> <p><b>Neue Seite</b></p><div>Ich habe das auf eine extrige Seite gepackt - dann springt es nicht so ins Auge:<br /> &lt;br /&gt;&lt;br /&gt;<br /> Folgende Seitenlängen sind zu berechnen:<br /> Die orangen! Die &quot;Lange&quot; wissen wir schon mit Wurzel 2 und die &quot;Kleine&quot; ist noch zu berechnen. Winkel Beta ist Drehwinkel! Den Streckfaktor erhalten wir über die Streckenlängen!<br /> &lt;br /&gt;<br /> &lt;ggb_applet width=&quot;1000&quot; height=&quot;725&quot; version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;true&quot; enableRightClick = &quot;false&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;false&quot; showMenuBar = &quot;false&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;false&quot; showAlgebraInput = &quot;true&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&gt;<br /> <br /> ==Vereinfachung der Skizze und Rechnen mit Pythagoras==</div>

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