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Streckenantragen oder das Axiom vom Lineal (WS10/11) - Versionsgeschichte
2026-07-07T20:52:41Z
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Engel82: /* Der Eindeutigkeitsbeweis */
2010-12-06T16:53:12Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></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 6. Dezember 2010, 16:53 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l117">Zeile 117:</td>
<td colspan="2" class="diff-lineno">Zeile 117:</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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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>4)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| <del style="font-weight: bold; text-decoration: none;">BM_1 </del>\right|</math>= <math>\frac{d}{2}</math></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>4)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| <ins style="font-weight: bold; text-decoration: none;">AM_2 </ins>\right|</math>= <math>\frac{d}{2}</math></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>________________Widerspruch zum Axiom vom Lineal<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>________________Widerspruch zum Axiom vom Lineal<br /> </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>\left| <del style="font-weight: bold; text-decoration: none;">AM_2 </del>\right|</math>=<math>\frac{d}{2}</math> und <math>\left| BM_2 \right|</math>= <math>\frac{d}{2}</math><br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>\left| <ins style="font-weight: bold; text-decoration: none;">BM_1 </ins>\right|</math>=<math>\frac{d}{2}</math> und <math>\left| BM_2 \right|</math>= <math>\frac{d}{2}</math><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<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>Widerspruch zum Axiom vom Lineal, da auf dem Strahl AB+ genau ein Punkt M mit <math>\frac{d}{2}</math> existiert.<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>Widerspruch zum Axiom vom Lineal, da auf dem Strahl AB+ genau ein Punkt M mit <math>\frac{d}{2}</math> existiert.<br /></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5413&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T18:23:42Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></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 29. November 2010, 18:23 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l117">Zeile 117:</td>
<td colspan="2" class="diff-lineno">Zeile 117:</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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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>4)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| <del style="font-weight: bold; text-decoration: none;">AM_2 </del>\right|</math>= <math>\frac{d}{2}</math></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>4)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| <ins style="font-weight: bold; text-decoration: none;">BM_1 </ins>\right|</math>= <math>\frac{d}{2}</math></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>________________Widerspruch zum Axiom vom Lineal<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>________________Widerspruch zum Axiom vom Lineal<br /> </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>\left| <del style="font-weight: bold; text-decoration: none;">BM_1 </del>\right|</math>=<math>\frac{d}{2}</math> und <math>\left| BM_2 \right|</math>= <math>\frac{d}{2}</math><br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>\left| <ins style="font-weight: bold; text-decoration: none;">AM_2 </ins>\right|</math>=<math>\frac{d}{2}</math> und <math>\left| BM_2 \right|</math>= <math>\frac{d}{2}</math><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<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>Widerspruch zum Axiom vom Lineal, da auf dem Strahl AB+ genau ein Punkt M mit <math>\frac{d}{2}</math> existiert.<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>Widerspruch zum Axiom vom Lineal, da auf dem Strahl AB+ genau ein Punkt M mit <math>\frac{d}{2}</math> existiert.<br /></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5412&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T18:21:02Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
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<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 29. November 2010, 18:21 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l113">Zeile 113:</td>
<td colspan="2" class="diff-lineno">Zeile 113:</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>Zw(A,<math>\ M_1</math>,B) und Zw(A,<math>\ M_2</math>, B)<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>Zw(A,<math>\ M_1</math>,B) und Zw(A,<math>\ M_2</math>, 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;"><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" 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>1) <math>\left| AM_1 \right|</math> +<math>\left| <del style="font-weight: bold; text-decoration: none;">AM_1 </del>\right|</math>= <math>\left| AB \right|</math>________laut Annahme und A/3<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>1) <math>\left| AM_1 \right|</math> +<math>\left| <ins style="font-weight: bold; text-decoration: none;">BM_1 </ins>\right|</math>= <math>\left| AB \right|</math>________laut Annahme und A/3<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>2) <math>\left| AM_2 \right|</math> +<math>\left| <del style="font-weight: bold; text-decoration: none;">AM_2 </del>\right|</math>= <math>\left| AB \right|</math>_________laut Annahme und A/3<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>2) <math>\left| AM_2 \right|</math> +<math>\left| <ins style="font-weight: bold; text-decoration: none;">BM_2 </ins>\right|</math>= <math>\left| AB \right|</math>_________laut Annahme und A/3<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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><br /></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5411&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T18:20:20Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
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<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 29. November 2010, 18:20 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l113">Zeile 113:</td>
<td colspan="2" class="diff-lineno">Zeile 113:</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>Zw(A,<math>\ M_1</math>,B) und Zw(A,<math>\ M_2</math>, B)<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>Zw(A,<math>\ M_1</math>,B) und Zw(A,<math>\ M_2</math>, 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;"><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" 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>1) <math>\left| AM_1 \right|</math> +<math>\left| <del style="font-weight: bold; text-decoration: none;">AM </del>\right|</math>= <math>\left| AB \right|</math>________laut Annahme und A/3<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>1) <math>\left| AM_1 \right|</math> +<math>\left| <ins style="font-weight: bold; text-decoration: none;">AM_1 </ins>\right|</math>= <math>\left| AB \right|</math>________laut Annahme und A/3<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) <math>\left| AM_2 \right|</math> +<math>\left| AM_2 \right|</math>= <math>\left| AB \right|</math>_________laut Annahme und A/3<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) <math>\left| AM_2 \right|</math> +<math>\left| AM_2 \right|</math>= <math>\left| AB \right|</math>_________laut Annahme und A/3<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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <math>\overline{AB}</math><br /></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5410&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T17:47:22Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></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 29. November 2010, 17:47 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l125">Zeile 125:</td>
<td colspan="2" class="diff-lineno">Zeile 125:</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><math>\left| BM_1 \right|</math>=<math>\left| BM_2 \right|</math><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><math>\left| BM_1 \right|</math>=<math>\left| BM_2 \right|</math><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>6) <math>\left| M_1 \right|</math>=<math>\left| M_2 \right|</math>_________________5)<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>6) <math>\left| M_1 \right|</math>=<math>\left| M_2 \right|</math>_________________5)<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>7) Annahme ist zu verwerfen<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>7) Annahme ist zu verwerfen<br /><ins style="font-weight: bold; text-decoration: none;">--[[Benutzer:Engel82|Engel82]] 17:47, 29. Nov. 2010 (UTC)</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;"><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>[[Category:Einführung_Geometrie]]</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>[[Category:Einführung_Geometrie]]</div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5409&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T17:46:56Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<col class="diff-content" />
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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 29. November 2010, 17:46 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l110">Zeile 110:</td>
<td colspan="2" class="diff-lineno">Zeile 110:</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>:Hinweis: Nehmen Sie an, eine Strecke <math>\overline{AB}</math> hätte zwei Mittelpunkte <math>\ M_1</math> und <math>\ M_2</math>.</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>:Hinweis: Nehmen Sie an, eine Strecke <math>\overline{AB}</math> hätte zwei Mittelpunkte <math>\ M_1</math> und <math>\ M_2</math>.</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" 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>Annahme: <math>\overline {AB}</math> hat zwei Mittelpunkte <math>\ M_1</math> und <math>\ M_2</math><br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><u></ins>Annahme:<ins style="font-weight: bold; text-decoration: none;"></u> </ins><math>\overline {AB}</math> hat zwei Mittelpunkte <math>\ M_1</math> und <math>\ M_2</math><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>Zw(A,<math>\ M_1</math>,B) und Zw(A,<math>\ M_2</math>, B)<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>Zw(A,<math>\ M_1</math>,B) und Zw(A,<math>\ M_2</math>, 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;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5408&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T17:46:00Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<col class="diff-marker" />
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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 29. November 2010, 17:46 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l115">Zeile 115:</td>
<td colspan="2" class="diff-lineno">Zeile 115:</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>1) <math>\left| AM_1 \right|</math> +<math>\left| AM \right|</math>= <math>\left| AB \right|</math>________laut Annahme und A/3<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) <math>\left| AM_1 \right|</math> +<math>\left| AM \right|</math>= <math>\left| AB \right|</math>________laut Annahme und A/3<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) <math>\left| AM_2 \right|</math> +<math>\left| AM_2 \right|</math>= <math>\left| AB \right|</math>_________laut Annahme und A/3<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) <math>\left| AM_2 \right|</math> +<math>\left| AM_2 \right|</math>= <math>\left| AB \right|</math>_________laut Annahme und A/3<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) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke AB<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) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke <ins style="font-weight: bold; text-decoration: none;"><math>\overline{</ins>AB<ins style="font-weight: bold; text-decoration: none;">}</math></ins><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| AM_2 \right|</math>= <math>\frac{d}{2}</math></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)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| AM_2 \right|</math>= <math>\frac{d}{2}</math></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5407&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T17:43:55Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</span></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 29. November 2010, 17:43 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l119">Zeile 119:</td>
<td colspan="2" class="diff-lineno">Zeile 119:</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)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| AM_2 \right|</math>= <math>\frac{d}{2}</math></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)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| AM_2 \right|</math>= <math>\frac{d}{2}</math></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>________________Widerspruch zum Axiom vom Lineal<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>________________Widerspruch zum Axiom vom Lineal<br /> </div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>\left| BM_1 \right|</math>=d/<del style="font-weight: bold; text-decoration: none;">2 </del>und <math>\left| BM_2 \right|</math>= d/<del style="font-weight: bold; text-decoration: none;">2</del><br /></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>\left| BM_1 \right|</math>=<ins style="font-weight: bold; text-decoration: none;"><math>\frac{</ins>d<ins style="font-weight: bold; text-decoration: none;">}{2}<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> </ins>und <math>\left| BM_2 \right|</math>= <ins style="font-weight: bold; text-decoration: none;"><math>\frac{</ins>d<ins style="font-weight: bold; text-decoration: none;">}{2}<</ins>/<ins style="font-weight: bold; text-decoration: none;">math></ins><br /></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<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>Widerspruch zum Axiom vom Lineal, da auf dem Strahl AB+ genau ein Punkt M mit d/<del style="font-weight: bold; text-decoration: none;">2 </del>existiert.<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>Widerspruch zum Axiom vom Lineal, da auf dem Strahl AB+ genau ein Punkt M mit <ins style="font-weight: bold; text-decoration: none;"><math>\frac{</ins>d<ins style="font-weight: bold; text-decoration: none;">}{2}<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> </ins>existiert.<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>5) <math>\left| AM_1 \right|</math>=<math>\left| AM_2 \right|</math>_______________4)<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>5) <math>\left| AM_1 \right|</math>=<math>\left| AM_2 \right|</math>_______________4)<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><math>\left| BM_1 \right|</math>=<math>\left| BM_2 \right|</math><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><math>\left| BM_1 \right|</math>=<math>\left| BM_2 \right|</math><br /></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5406&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T17:42:51Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</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 29. November 2010, 17:42 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l117">Zeile 117:</td>
<td colspan="2" class="diff-lineno">Zeile 117:</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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke AB<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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke AB<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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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>4)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}<del style="font-weight: bold; text-decoration: none;"></math></del></math> und <math>\left| AM_2 \right|</math>= \frac{d}{2}</math></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>4)<math>\left| AM_1 \right|</math>= <math>\frac{d}{2}</math> und <math>\left| AM_2 \right|</math>= <ins style="font-weight: bold; text-decoration: none;"><math></ins>\frac{d}{2}</math></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>________________Widerspruch zum Axiom vom Lineal<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>________________Widerspruch zum Axiom vom Lineal<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><math>\left| BM_1 \right|</math>=d/2 und <math>\left| BM_2 \right|</math>= d/2<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><math>\left| BM_1 \right|</math>=d/2 und <math>\left| BM_2 \right|</math>= d/2<br /></div></td></tr>
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Engel82
https://geometrie.idea-sketch.com/index.php?title=Streckenantragen_oder_das_Axiom_vom_Lineal_(WS10/11)&diff=5405&oldid=prev
Engel82: /* Der Eindeutigkeitsbeweis */
2010-11-29T17:42:02Z
<p><span class="autocomment">Der Eindeutigkeitsbeweis</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 29. November 2010, 17:42 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l117">Zeile 117:</td>
<td colspan="2" class="diff-lineno">Zeile 117:</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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke AB<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>3) <math>\left| AM_1 \right|</math>=<math>\left| BM_1 \right|</math>______________M ist Mittelpunkt der Strecke AB<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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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><math>\left| AM_2 \right|</math>= <math>\left| BM_2 \right|</math><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>4)<math>\left| AM_1 \right|</math>= \frac{d}{2}</math> und <math>\left| AM_2 \right|</math>= \frac{d}{2}</math></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>4)<math>\left| AM_1 \right|</math>= <ins style="font-weight: bold; text-decoration: none;"><math></ins>\frac{d}{2}<ins style="font-weight: bold; text-decoration: none;"></math></ins></math> und <math>\left| AM_2 \right|</math>= \frac{d}{2}</math></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>________________Widerspruch zum Axiom vom Lineal<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>________________Widerspruch zum Axiom vom Lineal<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><math>\left| BM_1 \right|</math>=d/2 und <math>\left| BM_2 \right|</math>= d/2<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><math>\left| BM_1 \right|</math>=d/2 und <math>\left| BM_2 \right|</math>= d/2<br /></div></td></tr>
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Engel82