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	<title>Lösung von Aufgabe 13.3P (WS 16/17) - Versionsgeschichte</title>
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	<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;action=history"/>
	<updated>2026-08-14T15:51:40Z</updated>
	<subtitle>Versionsgeschichte dieser Seite in Geometrie-Wiki</subtitle>
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	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29073&amp;oldid=prev</id>
		<title>Tutor: Alex am 8. Februar 2017 um 14:57 Uhr</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29073&amp;oldid=prev"/>
		<updated>2017-02-08T14:57:56Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;de&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version vom 8. Februar 2017, 14:57 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l16&quot;&gt;Zeile 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 16:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Die Verkettung der beiden Abbildung ist also nichts anderes als eine Spiegelung an &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt;, oder anders ausgedrückt: Es ist eine Drehung um 90° im mathematischen Drehsinn um den Schnittpunkt von &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt;, der somit Fixpunkt dieser Abbildung ist. --[[Benutzer:AlanTu|AlanTu]] ([[Benutzer Diskussion:AlanTu|Diskussion]]) 19:54, 4. Feb. 2017 (CET)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Die Verkettung der beiden Abbildung ist also nichts anderes als eine Spiegelung an &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt;, oder anders ausgedrückt: Es ist eine Drehung um 90° im mathematischen Drehsinn um den Schnittpunkt von &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt;, der somit Fixpunkt dieser Abbildung ist. --[[Benutzer:AlanTu|AlanTu]] ([[Benutzer Diskussion:AlanTu|Diskussion]]) 19:54, 4. Feb. 2017 (CET)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; Hallo AlanTu,&amp;lt;br/&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; deine GeoGebra Applikation sieht super aus. Deine Konstruktion der Lösung ist korrekt und ergänzt die Skizze ;)&amp;lt;br/&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; Gruß --[[Benutzer:Tutor: Alex|Tutor: Alex]] ([[Benutzer Diskussion:Tutor: Alex|Diskussion]]) 15:57, 8. Feb. 2017 (CET)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tutor: Alex</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29070&amp;oldid=prev</id>
		<title>AlanTu: Präzisierung</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29070&amp;oldid=prev"/>
		<updated>2017-02-05T16:20:08Z</updated>

		<summary type="html">&lt;p&gt;Präzisierung&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;de&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version vom 5. Februar 2017, 16:20 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot;&gt;Zeile 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Fälle das Lot vom Drehpunkt &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; auf die Gerade &amp;lt;math&amp;gt;C&amp;#039;C&amp;#039;&amp;#039;&amp;lt;/math&amp;gt;, nenne das Lot &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Fälle das Lot vom Drehpunkt &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; auf die Gerade &amp;lt;math&amp;gt;C&amp;#039;C&amp;#039;&amp;#039;&amp;lt;/math&amp;gt;, nenne das Lot &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Trage von einem beliebigen Punkt auf &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt; aus &amp;lt;math&amp;gt;\frac{1}{2}u&amp;lt;/math&amp;gt; ab, konstruiere durch den neu erhaltenen Punkt eine Parallele &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; zu &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Trage von einem beliebigen Punkt auf &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt; aus &amp;lt;math&amp;gt;\frac{1}{2}u&amp;lt;/math&amp;gt; ab, konstruiere durch den neu erhaltenen Punkt eine Parallele &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; zu &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* Drehe &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt; um 45° gegen den mathematischen Drehsinn (da das Dreieck um 90°, also das doppelte Winkelmaß, in die Gegenrichtung gedreht wurde)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;* Drehe &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt; um 45° gegen den mathematischen Drehsinn &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;um den Drehpunkt &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; &lt;/ins&gt;(da das Dreieck um 90°, also das doppelte Winkelmaß, in die Gegenrichtung gedreht wurde)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Nun gilt: Die erste Abbildung &amp;lt;math&amp;gt;\varphi_1 = S_a\circ S_b&amp;lt;/math&amp;gt; und die zweite Abbildung &amp;lt;math&amp;gt;\varphi_2 = S_b\circ S_c&amp;lt;/math&amp;gt; ergeben verkettet &amp;lt;math&amp;gt;\varphi_1 \circ \varphi_2 = (S_a \circ S_b) \circ(S_b \circ S_c) = S_a \circ \underbrace{S_b\circ S_b}_{\text{Identität}} \circ S_c = S_a \circ S_c&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Nun gilt: Die erste Abbildung &amp;lt;math&amp;gt;\varphi_1 = S_a\circ S_b&amp;lt;/math&amp;gt; und die zweite Abbildung &amp;lt;math&amp;gt;\varphi_2 = S_b\circ S_c&amp;lt;/math&amp;gt; ergeben verkettet &amp;lt;math&amp;gt;\varphi_1 \circ \varphi_2 = (S_a \circ S_b) \circ(S_b \circ S_c) = S_a \circ \underbrace{S_b\circ S_b}_{\text{Identität}} \circ S_c = S_a \circ S_c&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>AlanTu</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29069&amp;oldid=prev</id>
		<title>AlanTu: Konstruktion</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29069&amp;oldid=prev"/>
		<updated>2017-02-04T18:54:09Z</updated>

		<summary type="html">&lt;p&gt;Konstruktion&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;de&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version vom 4. Februar 2017, 18:54 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l4&quot;&gt;Zeile 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 4:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Lösung von AlanTu===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Lösung von AlanTu===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hier schonmal das Geogebra-Applet:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hier schonmal das Geogebra-Applet:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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text-decoration: none;&quot;&gt;K1So7cwcbkwdgYVB&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;gBkxQzxPcCzCtq0LO4dGjHiXcE5QTvjwJ5sTzMGMU&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9jF3n486e6VzMTyYo9lPmFHoOeoum1C4Q4shQ9iqf4A9kt4Qub4THQ77OmE8m6W2vi3wpKsC5ZbvLyJF&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;MqvSx3KTHbPodCE3TlJKBEMOrSgFPmebz&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;aMHB0MDhrc8Z9ZjhCbLzjrBojvFXClGxvhAlqwSMut&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Zmm&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Z6&lt;/ins&gt;/+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Z9fL&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;UEsHCKBCujyJCQAANjYAAFBLAQIUABQACAgIAJSeREpFzN5dGgAAABgAAAAWAAAAAAAAAAAAAAAAAAAAAABnZW9nZWJyYV9qYXZhc2NyaXB0LmpzUEsBAhQAFAAICAgAlJ5ESqBCujyJCQAANjYAAAwAAAAAAAAAAAAAAAAAXgAAAGdlb2dlYnJhLnhtbFBLBQYAAAAAAgACAH4AAAAhCgAAAAA&lt;/ins&gt;=&quot; showResetIcon = &quot;true&quot; enableRightClick = &quot;true&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;true&quot; showMenuBar = &quot;true&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;true&quot; showAlgebraInput = &quot;true&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Beschreibung liefere ich nach, nur schonmal so viel: &amp;lt;math&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_{s_1} &lt;/del&gt;\circ &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_{s_2}&lt;/del&gt;&amp;lt;/math&amp;gt; beschreibt die erste Abbildung (die Drehung), &amp;lt;math&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_{s_2} &lt;/del&gt;\circ &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_{s_3}&lt;/del&gt;&amp;lt;/math&amp;gt; beschreibt die zweite Abbildung (die Translation).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Beschreibung liefere ich nach, nur schonmal so viel: &amp;lt;math&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_a &lt;/ins&gt;\circ &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_b&lt;/ins&gt;&amp;lt;/math&amp;gt; beschreibt die erste Abbildung (die Drehung), &amp;lt;math&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_b &lt;/ins&gt;\circ &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_c&lt;/ins&gt;&amp;lt;/math&amp;gt; beschreibt die zweite Abbildung (die Translation).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;====Konstruktion der Lösung====&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* Fälle das Lot vom Drehpunkt &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; auf die Gerade &amp;lt;math&amp;gt;C&#039;C&#039;&#039;&amp;lt;/math&amp;gt;, nenne das Lot &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* Trage von einem beliebigen Punkt auf &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt; aus &amp;lt;math&amp;gt;\frac{1}{2}u&amp;lt;/math&amp;gt; ab, konstruiere durch den neu erhaltenen Punkt eine Parallele &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; zu &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* Drehe &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt; um 45° gegen den mathematischen Drehsinn (da das Dreieck um 90°, also das doppelte Winkelmaß, in die Gegenrichtung gedreht wurde)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Nun gilt: Die erste Abbildung &amp;lt;math&amp;gt;\varphi_1 = S_a\circ S_b&amp;lt;/math&amp;gt; und die zweite Abbildung &amp;lt;math&amp;gt;\varphi_2 = S_b\circ S_c&amp;lt;/math&amp;gt; ergeben verkettet &amp;lt;math&amp;gt;\varphi_1 \circ \varphi_2 = (S_a \circ S_b) \circ(S_b \circ S_c) = S_a \circ \underbrace{S_b\circ S_b}_{\text{Identität}} \circ S_c = S_a \circ S_c&amp;lt;/math&amp;gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Die Verkettung der beiden Abbildung ist also nichts anderes als eine Spiegelung an &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt;, oder anders ausgedrückt: Es ist eine Drehung um 90° im mathematischen Drehsinn um den Schnittpunkt von &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt;, der somit Fixpunkt dieser Abbildung ist. --[[Benutzer:AlanTu|AlanTu]] ([[Benutzer Diskussion:AlanTu|Diskussion]]) 19:54, 4. Feb. 2017 (CET)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>AlanTu</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29046&amp;oldid=prev</id>
		<title>AlanTu: Meine Lösung hinzugefügt.</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29046&amp;oldid=prev"/>
		<updated>2017-01-25T00:30:13Z</updated>

		<summary type="html">&lt;p&gt;Meine Lösung hinzugefügt.&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;de&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version vom 25. Januar 2017, 00:30 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Zeile 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Falls nichts angezeigt wird, können Sie mit folgendem Link [{{fullurl:{{PAGENAME}}|action=purge}} den Servercache leeren].&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;ggb_applet width=&amp;quot;624&amp;quot; height=&amp;quot;445&amp;quot;  version=&amp;quot;4.0&amp;quot; ggbBase64=&amp;quot;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&amp;quot; showResetIcon = &amp;quot;false&amp;quot; enableRightClick = &amp;quot;false&amp;quot; errorDialogsActive = &amp;quot;true&amp;quot; enableLabelDrags = &amp;quot;false&amp;quot; showMenuBar = &amp;quot;true&amp;quot; showToolBar = &amp;quot;true&amp;quot; showToolBarHelp = &amp;quot;false&amp;quot; showAlgebraInput = &amp;quot;false&amp;quot; useBrowserForJS = &amp;quot;true&amp;quot; allowRescaling = &amp;quot;true&amp;quot; /&amp;gt;&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Falls nichts angezeigt wird, können Sie mit folgendem Link [{{fullurl:{{PAGENAME}}|action=purge}} den Servercache leeren].&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;ggb_applet width=&amp;quot;624&amp;quot; height=&amp;quot;445&amp;quot;  version=&amp;quot;4.0&amp;quot; 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showResetIcon = &amp;quot;false&amp;quot; enableRightClick = &amp;quot;false&amp;quot; errorDialogsActive = &amp;quot;true&amp;quot; enableLabelDrags = &amp;quot;false&amp;quot; showMenuBar = &amp;quot;true&amp;quot; showToolBar = &amp;quot;true&amp;quot; showToolBarHelp = &amp;quot;false&amp;quot; showAlgebraInput = &amp;quot;false&amp;quot; useBrowserForJS = &amp;quot;true&amp;quot; allowRescaling = &amp;quot;true&amp;quot; /&amp;gt;&amp;lt;br /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===Lösung von AlanTu===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Hier schonmal das Geogebra-Applet:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;ggb_applet width=&quot;900&quot; height=&quot;900&quot;  version=&quot;4.0&quot; ggbBase64=&quot;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&quot; showResetIcon = &quot;true&quot; enableRightClick = &quot;true&quot; errorDialogsActive = &quot;true&quot; enableLabelDrags = &quot;true&quot; showMenuBar = &quot;true&quot; showToolBar = &quot;true&quot; showToolBarHelp = &quot;true&quot; showAlgebraInput = &quot;true&quot; useBrowserForJS = &quot;true&quot; allowRescaling = &quot;true&quot; /&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Beschreibung liefere ich nach, nur schonmal so viel: &amp;lt;math&amp;gt;S_{s_1} \circ S_{s_2}&amp;lt;/math&amp;gt; beschreibt die erste Abbildung (die Drehung), &amp;lt;math&amp;gt;S_{s_2} \circ S_{s_3}&amp;lt;/math&amp;gt; beschreibt die zweite Abbildung (die Translation).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Kategorie:Geo_P]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>AlanTu</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.3P_(WS_16/17)&amp;diff=29039&amp;oldid=prev</id>
		<title>Schnirch: Die Seite wurde neu angelegt: „Das Dreieck &lt;math&gt;\overline{ABC}&lt;/math&gt; wird an Punkt &#039;&#039;D&#039;&#039; um 90 gedreht. Das gedrehte Dreieck wird nun um den eingezeichneten Vektor verschoben. Gibt es eine…“</title>
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		<updated>2017-01-24T11:56:34Z</updated>

		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „Das Dreieck &amp;lt;math&amp;gt;\overline{ABC}&amp;lt;/math&amp;gt; wird an Punkt &amp;#039;&amp;#039;D&amp;#039;&amp;#039; um 90 gedreht. Das gedrehte Dreieck wird nun um den eingezeichneten Vektor verschoben. Gibt es eine…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Das Dreieck &amp;lt;math&amp;gt;\overline{ABC}&amp;lt;/math&amp;gt; wird an Punkt &amp;#039;&amp;#039;D&amp;#039;&amp;#039; um 90 gedreht. Das gedrehte Dreieck wird nun um den eingezeichneten Vektor verschoben. Gibt es einen Punkt der Ebene, der nun genau wieder an seinem ursprünglichen Ort liegt? Konstruieren Sie ggf. diesen Punkt und begründen Sie!&amp;lt;br /&amp;gt;&lt;br /&gt;
Falls nichts angezeigt wird, können Sie mit folgendem Link [{{fullurl:{{PAGENAME}}|action=purge}} den Servercache leeren].&amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&amp;lt;ggb_applet width=&amp;quot;624&amp;quot; height=&amp;quot;445&amp;quot;  version=&amp;quot;4.0&amp;quot; ggbBase64=&amp;quot;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&amp;quot; showResetIcon = &amp;quot;false&amp;quot; enableRightClick = &amp;quot;false&amp;quot; errorDialogsActive = &amp;quot;true&amp;quot; enableLabelDrags = &amp;quot;false&amp;quot; showMenuBar = &amp;quot;true&amp;quot; showToolBar = &amp;quot;true&amp;quot; showToolBarHelp = &amp;quot;false&amp;quot; showAlgebraInput = &amp;quot;false&amp;quot; useBrowserForJS = &amp;quot;true&amp;quot; allowRescaling = &amp;quot;true&amp;quot; /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Kategorie:Geo_P]]&lt;/div&gt;</summary>
		<author><name>Schnirch</name></author>
	</entry>
</feed>