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La Clotoide (Grupo 25) - Historial de revisiones
2026-04-23T09:56:26Z
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IgnacioMoya: /* Propiedades para la ingeniería. */
2025-11-26T15:14:35Z
<p><span dir="auto"><span class="autocomment">Propiedades para la ingeniería.</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 15:14 26 nov 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l240" >Línea 240:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>hold off</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>hold off</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
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<tr><td class='diff-marker'>−</td><td style="color:black; 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><del class="diffchange diffchange-inline">=</del>=Propiedades para la ingeniería.<del class="diffchange diffchange-inline">=</del>=</div></td><td class='diff-marker'>+</td><td style="color:black; 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>=Propiedades para la ingeniería.=</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>La clotoide <del class="diffchange diffchange-inline">describe </del>un <del class="diffchange diffchange-inline">fenómeno </del>de transición <del class="diffchange diffchange-inline">suave </del>entre una trayectoria recta y una curva circular, <del class="diffchange diffchange-inline">ya </del>que<del class="diffchange diffchange-inline">, como se ha expuesto anteriormente, </del>su curvatura <del class="diffchange diffchange-inline">crece </del>de <del class="diffchange diffchange-inline">forma </del>lineal. <del class="diffchange diffchange-inline">Conociendo esto</del>, <del class="diffchange diffchange-inline">en el punto </del>de <del class="diffchange diffchange-inline">inicio</del>, el radio de curvatura es infinito, <del class="diffchange diffchange-inline">y a medida que </del>avanza, <del class="diffchange diffchange-inline">el </del>radio disminuye hasta <del class="diffchange diffchange-inline">tomar </del>un valor finito, <del class="diffchange diffchange-inline">estableciendo </del>una curvatura más <del class="diffchange diffchange-inline">definida</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; 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>La clotoide <ins class="diffchange diffchange-inline">representa </ins>un <ins class="diffchange diffchange-inline">tipo </ins>de <ins class="diffchange diffchange-inline">curva que permite una </ins>transición <ins class="diffchange diffchange-inline">progresiva </ins>entre una trayectoria recta y una curva circular, <ins class="diffchange diffchange-inline">debido a </ins>que su curvatura <ins class="diffchange diffchange-inline">aumenta </ins>de <ins class="diffchange diffchange-inline">manera </ins>lineal. <ins class="diffchange diffchange-inline">Esto implica que</ins>, <ins class="diffchange diffchange-inline">al comienzo </ins>de <ins class="diffchange diffchange-inline">la curva</ins>, el radio de curvatura es infinito <ins class="diffchange diffchange-inline">y</ins>, <ins class="diffchange diffchange-inline">conforme se </ins>avanza <ins class="diffchange diffchange-inline">sobre ella</ins>, <ins class="diffchange diffchange-inline">dicho </ins>radio disminuye hasta <ins class="diffchange diffchange-inline">alcanzar </ins>un valor finito, <ins class="diffchange diffchange-inline">definiéndose así </ins>una curvatura más <ins class="diffchange diffchange-inline">marcada</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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><del class="diffchange diffchange-inline">Su principal aplicación </del>en <del class="diffchange diffchange-inline">la ingeniería es </del>el diseño de carreteras y <del class="diffchange diffchange-inline">ferrocarriles en el que </del>la clotoide se <del class="diffchange diffchange-inline">usa </del>para suavizar <del class="diffchange diffchange-inline">la transición </del>entre un tramo recto y una curva circular. Esta transición es <del class="diffchange diffchange-inline">crucial</del>, ya que evita cambios <del class="diffchange diffchange-inline">abruptos </del>en la aceleración centrípeta y <del class="diffchange diffchange-inline">la ajusta gradualmente</del>. <del class="diffchange diffchange-inline">Sin una transición suave</del>, <del class="diffchange diffchange-inline">se podría generar incomodidad o incluso peligro para </del>los vehículos y <del class="diffchange diffchange-inline">pasajeros ya que se enfrentarían a un aumento agresivo de </del>las fuerzas centrípetas, lo que <del class="diffchange diffchange-inline">puede afectar a </del>la estabilidad.</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">En ingeniería, su uso más importante aparece </ins>en el diseño de carreteras y <ins class="diffchange diffchange-inline">vías férreas, donde </ins>la clotoide se <ins class="diffchange diffchange-inline">emplea </ins>para suavizar <ins class="diffchange diffchange-inline">el paso </ins>entre un tramo recto y una curva circular. Esta transición es <ins class="diffchange diffchange-inline">esencial</ins>, ya que evita cambios <ins class="diffchange diffchange-inline">bruscos </ins>en la aceleración centrípeta y <ins class="diffchange diffchange-inline">permite ajustarla de manera gradual</ins>. <ins class="diffchange diffchange-inline">Si no existiera esta suavidad en el cambio</ins>, los vehículos y <ins class="diffchange diffchange-inline">sus ocupantes podrían experimentar incrementos violentos en </ins>las fuerzas centrípetas, lo que <ins class="diffchange diffchange-inline">generaría incomodidad e incluso riesgos para </ins>la estabilidad.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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><del class="diffchange diffchange-inline">Las propiedades </del>de la clotoide <del class="diffchange diffchange-inline">ofrecen </del>otras aplicaciones como <del class="diffchange diffchange-inline">ayudar a </del>mantener un flujo de agua <del class="diffchange diffchange-inline">estable</del>, diseñar <del class="diffchange diffchange-inline">rutas </del>de entrada y salida para <del class="diffchange diffchange-inline">embarcaciones </del>en <del class="diffchange diffchange-inline">los </del>puertos <del class="diffchange diffchange-inline">e </del>incluso <del class="diffchange diffchange-inline">para construir </del>montañas rusas.</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">Además, las características </ins>de la clotoide <ins class="diffchange diffchange-inline">permiten </ins>otras aplicaciones<ins class="diffchange diffchange-inline">, </ins>como mantener un flujo de agua <ins class="diffchange diffchange-inline">más uniforme</ins>, diseñar <ins class="diffchange diffchange-inline">trayectorias </ins>de entrada y salida para <ins class="diffchange diffchange-inline">barcos </ins>en puertos<ins class="diffchange diffchange-inline">, o </ins>incluso <ins class="diffchange diffchange-inline">crear recorridos más seguros y fluidos en </ins>montañas rusas.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Ejemplos en Ingeniería Civil.==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Ejemplos en Ingeniería Civil.==</div></td></tr>
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IgnacioMoya
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=88180&oldid=prev
Paula.rrey en 14:51 26 nov 2025
2025-11-26T14:51:50Z
<p></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 14:51 26 nov 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l156" >Línea 156:</td>
<td colspan="2" class="diff-lineno">Línea 156:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>hold off;</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>hold off;</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Curvatura k(t).==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Curvatura k(t).==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>La curvatura se calcula con la siguiente fórmula:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>La curvatura se calcula con la siguiente fórmula:</div></td></tr>
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Paula.rrey
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=88179&oldid=prev
Paula.rrey en 14:51 26 nov 2025
2025-11-26T14:51:22Z
<p></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 14:51 26 nov 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l156" >Línea 156:</td>
<td colspan="2" class="diff-lineno">Línea 156:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>hold off;</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>hold off;</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Curvatura k(t).==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Curvatura k(t).==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>La curvatura se calcula con la siguiente fórmula:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>La curvatura se calcula con la siguiente fórmula:</div></td></tr>
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Paula.rrey
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=87404&oldid=prev
Sergio.cornide: /* Dibujo de la curva. */
2025-11-25T16:46:27Z
<p><span dir="auto"><span class="autocomment">Dibujo de la curva.</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 16:46 25 nov 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l21" >Línea 21:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>La representación gráfica de la curva se ha obtenido mediante el siguiente código:</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>La representación gráfica de la curva se ha obtenido mediante el siguiente código:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><br></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><br></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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><del style="font-weight: bold; text-decoration: none;">[[Archivo:hhhhhhhhhh.jpg|505px|thumb|right|Figura 1: Clotoide]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{matlab|codigo=</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{matlab|codigo=</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">[[Archivo:hhhhhhhhhh.jpg|505px|thumb|right|Figura 1: Clotoide]]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>clear; clc; clf;</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>clear; clc; clf;</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>% Definimos los parámetros</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>% Definimos los parámetros</div></td></tr>
</table>
Sergio.cornide
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=83221&oldid=prev
Rafael.eguiagaray: /* Masa de la superficie reglada. */
2024-12-12T09:21:45Z
<p><span dir="auto"><span class="autocomment">Masa de la superficie reglada.</span></span></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;' lang='es'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 09:21 12 dic 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l328" >Línea 328:</td>
<td colspan="2" class="diff-lineno">Línea 328:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>  \phi '_u\times\phi '_v  = sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>  \phi '_u\times\phi '_v  = sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">Cuyo módulo es:</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;"><center><math></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">|\phi '_u\times\phi '_v | = \sqrt{1+(u+v)^2}</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;"></math></center></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td></tr>
</table>
Rafael.eguiagaray
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=83220&oldid=prev
Rafael.eguiagaray: /* Masa de la superficie reglada. */
2024-12-12T09:18:33Z
<p><span dir="auto"><span class="autocomment">Masa de la superficie reglada.</span></span></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;' lang='es'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 09:18 12 dic 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l326" >Línea 326:</td>
<td colspan="2" class="diff-lineno">Línea 326:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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><del class="diffchange diffchange-inline">\left </del>\phi '_u\times\phi '_v <del class="diffchange diffchange-inline">\right </del>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline"> </ins>\phi '_u\times\phi '_v <ins class="diffchange diffchange-inline"> </ins>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td></tr>
</table>
Rafael.eguiagaray
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=83219&oldid=prev
Rafael.eguiagaray: /* Masa de la superficie reglada. */
2024-12-12T09:17:37Z
<p><span dir="auto"><span class="autocomment">Masa de la superficie reglada.</span></span></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;' lang='es'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 09:17 12 dic 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l326" >Línea 326:</td>
<td colspan="2" class="diff-lineno">Línea 326:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>\left<del class="diffchange diffchange-inline">| </del>\phi '_u\times\phi '_v \right <del class="diffchange diffchange-inline">| </del>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td><td class='diff-marker'>+</td><td style="color:black; 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>\left \phi '_u\times\phi '_v \right = sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td></tr>
</table>
Rafael.eguiagaray
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=83218&oldid=prev
Rafael.eguiagaray: /* Masa de la superficie reglada. */
2024-12-12T09:15:34Z
<p><span dir="auto"><span class="autocomment">Masa de la superficie reglada.</span></span></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;' lang='es'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 09:15 12 dic 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l326" >Línea 326:</td>
<td colspan="2" class="diff-lineno">Línea 326:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>\left \phi '_u\times\phi '_v \right <del class="diffchange diffchange-inline"> </del>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td><td class='diff-marker'>+</td><td style="color:black; 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>\left<ins class="diffchange diffchange-inline">| </ins>\phi '_u\times\phi '_v \right <ins class="diffchange diffchange-inline">| </ins>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td></tr>
</table>
Rafael.eguiagaray
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=83217&oldid=prev
Rafael.eguiagaray: /* Masa de la superficie reglada. */
2024-12-12T09:14:53Z
<p><span dir="auto"><span class="autocomment">Masa de la superficie reglada.</span></span></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;' lang='es'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 09:14 12 dic 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l326" >Línea 326:</td>
<td colspan="2" class="diff-lineno">Línea 326:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Posteriormente se calcula su producto vectorial para introducirlo en la matriz</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><center><math></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>\left<del class="diffchange diffchange-inline">| </del>\phi '_u\times\phi '_v \right <del class="diffchange diffchange-inline">| </del>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td><td class='diff-marker'>+</td><td style="color:black; 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>\left \phi '_u\times\phi '_v \right <ins class="diffchange diffchange-inline"> </ins>= sinv \overline{i} - cosv \overline{j} + (u+v)\overline{k}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div></math></center></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>A continuacion se calcula <math> f(\phi(u,v))</math></div></td></tr>
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Rafael.eguiagaray
https://mat.caminos.upm.es/w/index.php?title=La_Clotoide_(Grupo_25)&diff=83153&oldid=prev
Juan.rubiato en 15:31 11 dic 2024
2024-12-11T15:31:02Z
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Revisión anterior</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revisión del 15:31 11 dic 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l4" >Línea 4:</td>
<td colspan="2" class="diff-lineno">Línea 4:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Introducción.==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Introducción.==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>De forma matemática, <del class="diffchange diffchange-inline">los </del>clotoides son curvas que, en el origen, son tangentes al eje de abscisas y tienen un radio de curvatura cuya disminución es inversamente proporcional a la distancia recorrida a lo largo de la curva.</div></td><td class='diff-marker'>+</td><td style="color:black; 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>De forma matemática, <ins class="diffchange diffchange-inline">las </ins>clotoides son curvas que, en el origen, son tangentes al eje de abscisas y tienen un radio de curvatura cuya disminución es inversamente proporcional a la distancia recorrida a lo largo de la curva.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><br/></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><br/></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Con el objetivo de analizar sus propiedades, nos vamos a enfocar en el estudio de los vectores velocidad y aceleración, así como los tres vectores del Triedro de Frenet, para posteriormente, aplicarlo en la ingeniería civil.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Con el objetivo de analizar sus propiedades, nos vamos a enfocar en el estudio de los vectores velocidad y aceleración, así como los tres vectores del Triedro de Frenet, para posteriormente, aplicarlo en la ingeniería civil.</div></td></tr>
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Juan.rubiato