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Lösung von Aufgabe 13.1P (WS 18/19) - Versionsgeschichte
2026-08-15T03:45:35Z
Versionsgeschichte dieser Seite in Geometrie-Wiki
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http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.1P_(WS_18/19)&diff=32787&oldid=prev
CIG UA am 25. Januar 2019 um 11:08 Uhr
2019-01-25T11:08:46Z
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<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 25. Januar 2019, 11:08 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Zeile 6:</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>1.) = S<sub>c</sub><math>\circ</math>S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>d</sub> '''- b || d (Vor.); Eigenschaft Schubspiegelung'''<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>1.) = S<sub>c</sub><math>\circ</math>S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>d</sub> '''- b || d (Vor.); Eigenschaft Schubspiegelung'''<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>2.) = S<sub>c</sub><math>\circ</math>S<sub>a</sub><math>\circ</math>S<sub>b'</sub><math>\circ</math>S<sub>d'</sub> mit a=b' und b' || d' und |bd| = |b'd'| '''- 1.) Eig. Verschiebung'''<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>2.) = S<sub>c</sub><math>\circ</math>S<sub>a</sub><math>\circ</math>S<sub>b'</sub><math>\circ</math>S<sub>d'</sub> mit a=b' und b' || d' und |bd| = |b'd'| '''- 1.) Eig. Verschiebung'''<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>3.) = S<sub>c</sub><math>\circ</math>S<sub>d'</sub<del style="font-weight: bold; text-decoration: none;">><math</del>> '''- 2.), Identität a,b''''<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>3.) = S<sub>c</sub><math>\circ</math>S<sub>d'</sub> '''- 2.), Identität a,b''''<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>4.) = D<sub>P,180</sub> mit c geschnitten d' = P<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>4.) = D<sub>P,180</sub> mit c geschnitten d' = P<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>Die Behauptung ist bewiesen. --<del style="font-weight: bold; text-decoration: none;">~~~~</del></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 Behauptung ist bewiesen. --<ins style="font-weight: bold; text-decoration: none;">[[Benutzer:CIG UA|CIG UA]] ([[Benutzer Diskussion:CIG UA|Diskussion]]) 12:08, 25. Jan. 2019 (CET)</ins></div></td></tr>
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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;"><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>[[Kategorie:Geo_P]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie:Geo_P]]</div></td></tr>
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CIG UA
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.1P_(WS_18/19)&diff=32786&oldid=prev
CIG UA am 25. Januar 2019 um 11:08 Uhr
2019-01-25T11:08:09Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<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 25. Januar 2019, 11:08 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Zeile 1:</td>
<td colspan="2" class="diff-lineno">Zeile 1:</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>Zeigen Sie, dass bei der Verkettung einer Schubspiegelung <math>G_{a,b,c}</math> (<math>a \parallel b \wedge a \perp c</math>) mit einer Spiegelung <math>S_d</math> (<math>d \perp c</math>) eine Punktspiegelung entsteht.</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>Zeigen Sie, dass bei der Verkettung einer Schubspiegelung <math>G_{a,b,c}</math> (<math>a \parallel b \wedge a \perp c</math>) mit einer Spiegelung <math>S_d</math> (<math>d \perp c</math>) eine Punktspiegelung entsteht.</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><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><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;"><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;"><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;">Vor: S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>c</sub><math>\circ</math>S<sub>d</sub> mit a || b und a senkrecht zu c und d senkrecht zu c; Beh: = D<sub>P,180</sub><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;">1.) = S<sub>c</sub><math>\circ</math>S<sub>a</sub><math>\circ</math>S<sub>b</sub><math>\circ</math>S<sub>d</sub> '''- b || d (Vor.); Eigenschaft Schubspiegelung'''<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;">2.) = S<sub>c</sub><math>\circ</math>S<sub>a</sub><math>\circ</math>S<sub>b'</sub><math>\circ</math>S<sub>d'</sub> mit a=b' und b' || d' und |bd| = |b'd'| '''- 1.) Eig. Verschiebung'''<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;">3.) = S<sub>c</sub><math>\circ</math>S<sub>d'</sub><math> '''- 2.), Identität a,b''''<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;">4.) = D<sub>P,180</sub> mit c geschnitten d' = P<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;">Die Behauptung ist bewiesen. --~~~~</ins></div></td></tr>
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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;"><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>[[Kategorie:Geo_P]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategorie:Geo_P]]</div></td></tr>
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CIG UA
http://geometrie.idea-sketch.com/index.php?title=L%C3%B6sung_von_Aufgabe_13.1P_(WS_18/19)&diff=32739&oldid=prev
Schnirch: Die Seite wurde neu angelegt: „Zeigen Sie, dass bei der Verkettung einer Schubspiegelung <math>G_{a,b,c}</math> (<math>a \parallel b \wedge a \perp c</math>) mit einer Spiegelung <math>S_d</…“
2019-01-15T14:16:10Z
<p>Die Seite wurde neu angelegt: „Zeigen Sie, dass bei der Verkettung einer Schubspiegelung <math>G_{a,b,c}</math> (<math>a \parallel b \wedge a \perp c</math>) mit einer Spiegelung <math>S_d</…“</p>
<p><b>Neue Seite</b></p><div>Zeigen Sie, dass bei der Verkettung einer Schubspiegelung <math>G_{a,b,c}</math> (<math>a \parallel b \wedge a \perp c</math>) mit einer Spiegelung <math>S_d</math> (<math>d \perp c</math>) eine Punktspiegelung entsteht.<br />
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[[Kategorie:Geo_P]]</div>
Schnirch