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	<id>http://geometrie.idea-sketch.com/index.php?action=history&amp;feed=atom&amp;title=Vorlage%3AL%C3%B6sungen</id>
	<title>Vorlage:Lösungen - Versionsgeschichte</title>
	<link rel="self" type="application/atom+xml" href="http://geometrie.idea-sketch.com/index.php?action=history&amp;feed=atom&amp;title=Vorlage%3AL%C3%B6sungen"/>
	<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;action=history"/>
	<updated>2026-08-02T05:46:35Z</updated>
	<subtitle>Versionsgeschichte dieser Seite in Geometrie-Wiki</subtitle>
	<generator>MediaWiki 1.43.9</generator>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=26046&amp;oldid=prev</id>
		<title>Karl Kirst: 1 Version: Aktualisierung</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=26046&amp;oldid=prev"/>
		<updated>2014-02-08T21:16:02Z</updated>

		<summary type="html">&lt;p&gt;1 Version: Aktualisierung&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 2014, 21:16 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;4&quot; class=&quot;diff-notice&quot; lang=&quot;de&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(kein Unterschied)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;
&lt;!-- diff cache key geometrie:diff:1.41:old-10282:rev-26046 --&gt;
&lt;/table&gt;</summary>
		<author><name>Karl Kirst</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=10282&amp;oldid=prev</id>
		<title>HecklF: /* Aufgabe 7.1 */</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=10282&amp;oldid=prev"/>
		<updated>2011-12-22T09:58:28Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Aufgabe 7.1&lt;/span&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 22. Dezember 2011, 09:58 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;Es seien &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; drei zueinander parallele Geraden (paarweise nicht identisch). Man konstruiere ein gleichseitiges Dreieck &amp;lt;math&amp;gt;\overline{ABC}&amp;lt;/math&amp;gt; derart, dass &amp;lt;math&amp;gt;A \in a, B \in b, C \in c&amp;lt;/math&amp;gt; gilt.&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;Es seien &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; drei zueinander parallele Geraden (paarweise nicht identisch). Man konstruiere ein gleichseitiges Dreieck &amp;lt;math&amp;gt;\overline{ABC}&amp;lt;/math&amp;gt; derart, dass &amp;lt;math&amp;gt;A \in a, B \in b, C \in c&amp;lt;/math&amp;gt; gilt.&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; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{&lt;/del&gt;Lösung 7.1&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/del&gt;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Vorlage: &lt;/ins&gt;Lösung 7.1&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&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;=Aufgabe 7.2=&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;=Aufgabe 7.2=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key geometrie:diff:1.41:old-10265:rev-10282:php=table --&gt;
&lt;/table&gt;</summary>
		<author><name>HecklF</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=10265&amp;oldid=prev</id>
		<title>Pipi Langsocke: /* Aufgabe 7.1 */</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=10265&amp;oldid=prev"/>
		<updated>2011-12-21T11:09:57Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Aufgabe 7.1&lt;/span&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 21. Dezember 2011, 11:09 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-l1&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&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;=Aufgabe 7.1=&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;=Aufgabe 7.1=&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;Es seien &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; drei zueinander parallele Geraden (paarweise nicht identisch). Man konstruiere ein gleichseitiges Dreieck &amp;lt;math&amp;gt;\overline{ABC}&amp;lt;/math&amp;gt; derart, dass &amp;lt;math&amp;gt;A \in a, B \in b, C \in c&amp;lt;/math&amp;gt; gilt.&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;Es seien &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; drei zueinander parallele Geraden (paarweise nicht identisch). Man konstruiere ein gleichseitiges Dreieck &amp;lt;math&amp;gt;\overline{ABC}&amp;lt;/math&amp;gt; derart, dass &amp;lt;math&amp;gt;A \in a, B \in b, C \in c&amp;lt;/math&amp;gt; gilt.&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;&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;{{Lösung 7.1}}&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;=Aufgabe 7.2=&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;=Aufgabe 7.2=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key geometrie:diff:1.41:old-10261:rev-10265:php=table --&gt;
&lt;/table&gt;</summary>
		<author><name>Pipi Langsocke</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=10261&amp;oldid=prev</id>
		<title>Pipi Langsocke: Die Seite wurde neu angelegt: „=Aufgabe 7.1= Es seien &lt;math&gt;a, b&lt;/math&gt; und &lt;math&gt;c&lt;/math&gt; drei zueinander parallele Geraden (paarweise nicht identisch). Man konstruiere ein gleichseitiges Drei…“</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=10261&amp;oldid=prev"/>
		<updated>2011-12-21T11:07:27Z</updated>

		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „=Aufgabe 7.1= Es seien &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&amp;lt;/math&amp;gt; drei zueinander parallele Geraden (paarweise nicht identisch). Man konstruiere ein gleichseitiges Drei…“&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 21. Dezember 2011, 11:07 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-l1&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{| border&lt;/del&gt;=&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;0&quot; cellpadding&lt;/del&gt;=&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;5&quot; cellspacing=&quot;2&quot; style=&quot;border-left: 10px solid {{{RandLinks|#8E8CF2}}}; margin-bottom: 0.4em; margin-left: auto; margin-right: auto; width: {{{Breite|100%}}}; background-color: {{{Hintergrund|#ffffff}}}&quot;&lt;/del&gt;&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;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Aufgabe 7.1&lt;/ins&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|- &lt;/del&gt;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Es seien &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;c&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/ins&gt;&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;drei zueinander parallele Geraden (paarweise nicht identisch)&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Man konstruiere ein gleichseitiges Dreieck &amp;lt;math&amp;gt;\overline&lt;/ins&gt;{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ABC&lt;/ins&gt;}&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;derart, dass &amp;lt;math&amp;gt;A \in a, B \in b, C \in c&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/ins&gt;&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;gilt.&lt;/ins&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;div style=&quot;font: 10pt Verdana; font-weight:bold; padding:5px; border-bottom:1px solid #AAAAAA;&quot;&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Bild:Information icon&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;svg|20px]] &#039;&#039;&#039;Lösung&#039;&#039;&#039; {{&lt;/del&gt;{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;div&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{{2}}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|}&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;noinclude&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; 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;{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{Quellcode}&lt;/del&gt;}&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=Aufgabe 7.2=&lt;/ins&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;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pre&lt;/del&gt;&amp;gt;{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{Lösungen|&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Nummer &lt;/del&gt;der &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lösung&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lösungstext&lt;/del&gt;&amp;gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pre&lt;/del&gt;&amp;gt;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Es seien &amp;lt;math&amp;gt;k_1, k_2, k_3&amp;lt;/math&amp;gt; drei konzentrische Kreise mit den Radien &amp;lt;math&amp;gt;r_1, r_2, r_3&amp;lt;/math&amp;gt;. Es gelte &amp;lt;math&amp;gt;0&amp;lt;r_1&amp;lt;r_2&amp;lt;r_3&amp;lt;/math&amp;gt;. Man konstruiere ein gleichseitiges Dreieck &amp;lt;math&amp;gt;\overline&lt;/ins&gt;{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ABC&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; derart, dass &amp;lt;math&amp;gt;A \in k_1, B \in k_2, C \in k_3&amp;lt;/math&amp;gt; gilt.&lt;/ins&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;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;noinclude&lt;/del&gt;&amp;gt;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=Aufgabe 7.3=&lt;/ins&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;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;noinclude&lt;/del&gt;&amp;gt;[[Kategorie:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Vorlage:Aufgabenbausteine|Lösungen&lt;/del&gt;]]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/noinclude&amp;gt;&lt;/del&gt;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Es sei &lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\overline&lt;/ins&gt;{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ABC}&amp;lt;/math&amp;gt; ein gleichseitiges Dreieck. &amp;lt;math&amp;gt;s_a&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&amp;gt; sei &lt;/ins&gt;der &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dem Winkel &amp;lt;math&amp;gt;\angle BAC&amp;lt;/math&amp;gt; zugehörige Kreisbogen auf dem Kreis um &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; durch &amp;lt;math&amp;gt;B&amp;lt;/math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. Analog sind die Kreisbögen &amp;lt;math&amp;gt;s_b&amp;lt;/math&amp;gt; und &amp;lt;math&amp;gt;s_c&amp;lt;/math&amp;gt; zu verstehen. Unter dem Reuleaux-Dreieck &lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\widetilde{ABC&lt;/ins&gt;}&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&amp;gt; versteht man die Vereinigungsmenge &amp;lt;math&amp;gt;s_a \cup s_b \cup s_c&amp;lt;/math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&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;Man berechne den Umfang von &amp;lt;math&amp;gt;\widetilde{ABC}&lt;/ins&gt;&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&amp;gt; in Abhängigkeit von &amp;lt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|AB|&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&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;[[Kategorie:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Elementargeometrie&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pipi Langsocke</name></author>
	</entry>
	<entry>
		<id>http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=26045&amp;oldid=prev</id>
		<title>Karl Kirst: Die Seite wurde neu angelegt: „{| border=&quot;0&quot; cellpadding=&quot;5&quot; cellspacing=&quot;2&quot; style=&quot;border-left: 10px solid {{{RandLinks|#8E8CF2}}}; margin-bottom: 0.4em; margin-left: auto; margin-right: auto;...“</title>
		<link rel="alternate" type="text/html" href="http://geometrie.idea-sketch.com/index.php?title=Vorlage:L%C3%B6sungen&amp;diff=26045&amp;oldid=prev"/>
		<updated>2009-06-12T12:29:50Z</updated>

		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „{| border=&amp;quot;0&amp;quot; cellpadding=&amp;quot;5&amp;quot; cellspacing=&amp;quot;2&amp;quot; style=&amp;quot;border-left: 10px solid {{{RandLinks|#8E8CF2}}}; margin-bottom: 0.4em; margin-left: auto; margin-right: auto;...“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{| border=&amp;quot;0&amp;quot; cellpadding=&amp;quot;5&amp;quot; cellspacing=&amp;quot;2&amp;quot; style=&amp;quot;border-left: 10px solid {{{RandLinks|#8E8CF2}}}; margin-bottom: 0.4em; margin-left: auto; margin-right: auto; width: {{{Breite|100%}}}; background-color: {{{Hintergrund|#ffffff}}}&amp;quot;&lt;br /&gt;
|- &lt;br /&gt;
|&amp;lt;div style=&amp;quot;font: 10pt Verdana; font-weight:bold; padding:5px; border-bottom:1px solid #AAAAAA;&amp;quot;&amp;gt;[[Bild:Information icon.svg|20px]] &amp;#039;&amp;#039;&amp;#039;Lösung&amp;#039;&amp;#039;&amp;#039; {{{1}}}&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
{{{2}}}&lt;br /&gt;
|}&amp;lt;noinclude&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{Quellcode}}&lt;br /&gt;
&amp;lt;pre&amp;gt;{{Lösungen|&amp;lt;Nummer der Lösung&amp;gt;|&amp;lt;Lösungstext&amp;gt;}}&amp;lt;/pre&amp;gt;&lt;br /&gt;
&amp;lt;/noinclude&amp;gt;&lt;br /&gt;
&amp;lt;noinclude&amp;gt;[[Kategorie:Vorlage:Aufgabenbausteine|Lösungen]]&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>Karl Kirst</name></author>
	</entry>
</feed>