tag:blogger.com,1999:blog-46475297022339928622024-02-07T20:25:54.590-08:00Geometría euclidiana Es muy anterior a los griegosMarta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.comBlogger12125tag:blogger.com,1999:blog-4647529702233992862.post-47727806042907245082015-02-27T06:50:00.004-08:002015-02-27T06:50:56.136-08:00Líneas en 2D<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKrPqQriHp-egqA6QfCUuHsy0tRoorgI5Asexx4vtgsv3qqD4ah8Wq6Dh8hn7HO0qtVsiHLzsto75-gew-XoRcqc8dUFKuHHZ_ZlG-YAU0zBmj2dIopS5hc_C_6I_SwlQvyNL3HSM-Ens/s1600/Geo.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKrPqQriHp-egqA6QfCUuHsy0tRoorgI5Asexx4vtgsv3qqD4ah8Wq6Dh8hn7HO0qtVsiHLzsto75-gew-XoRcqc8dUFKuHHZ_ZlG-YAU0zBmj2dIopS5hc_C_6I_SwlQvyNL3HSM-Ens/s1600/Geo.jpg" height="464" width="640" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
La geometría euclediana es la que se traza sobre un papel. En total es el estudio de las leyes que gobiernan a todas las líneas que unen 2 puntos, y sus diversas posibilidades de interacción.Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-5630833307317393832013-06-06T15:53:00.005-07:002015-02-27T06:54:44.454-08:00Trazos ern 2D<div style="text-align: center;">
<span style="color: #000033; font-family: Tahoma;"></span></div>
<div style="text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjevHtWkVDZX9n2j825DWx9KPnpk9u-P2D4KtqPbrQE62m1idz1MBosjZLFlLytIKhnD-tUeaw0LphKKGA105vuRssXwPHbzhGBVXb9iq5DknRxCDQdov04R2wqt4-jwGXxn9w82hFjiec/s1600/Sin+t%C3%ADtulo-5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjevHtWkVDZX9n2j825DWx9KPnpk9u-P2D4KtqPbrQE62m1idz1MBosjZLFlLytIKhnD-tUeaw0LphKKGA105vuRssXwPHbzhGBVXb9iq5DknRxCDQdov04R2wqt4-jwGXxn9w82hFjiec/s400/Sin+t%C3%ADtulo-5.jpg" height="331" width="400" /></a></div>
<div style="text-align: center;">
</div>
<div style="text-align: center;">
</div>
<div style="text-align: center;">
</div>
Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-58912857242307134222013-06-06T15:19:00.003-07:002013-06-06T15:23:34.319-07:00Las diagonales de un pentágono y un hexágono inscriptos dentro de una circunsferencia dan por resultado un cubo inscrpto dentro de una esfera.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3yCT724PORa9Ox3sfqK-Hck5KPRZlEYVHsfpB1AOJrtJwTpwtlliSiX918Y7bXuIikp18G4SG_n5bh0XT37_JhjNuLbaaNP7Jlq6C7l0w_PIjswcLYc0pZCjPfEUompA_P-hKoeup5mE/s1600/Sin+t%C3%ADtulo-3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="335" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3yCT724PORa9Ox3sfqK-Hck5KPRZlEYVHsfpB1AOJrtJwTpwtlliSiX918Y7bXuIikp18G4SG_n5bh0XT37_JhjNuLbaaNP7Jlq6C7l0w_PIjswcLYc0pZCjPfEUompA_P-hKoeup5mE/s400/Sin+t%C3%ADtulo-3.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
Esto es lo que se conoce como <em>MERCABÁ</em></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHfTH60xvJJS5VdrTrRV62v-lh3ID4ww2AXx83IwbsnFum7UlE6-4Tl4ny-x5loh3uvX93VVLTmjdesY_1vLzQxyOqp9A9-NZiaoNINtf96MbREq4Ld2vFF_g-g8ByEe0kSI9EsFgrdjI/s1600/Sin+t%C3%ADtulo-4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="338" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHfTH60xvJJS5VdrTrRV62v-lh3ID4ww2AXx83IwbsnFum7UlE6-4Tl4ny-x5loh3uvX93VVLTmjdesY_1vLzQxyOqp9A9-NZiaoNINtf96MbREq4Ld2vFF_g-g8ByEe0kSI9EsFgrdjI/s400/Sin+t%C3%ADtulo-4.jpg" width="400" /></a></div>
Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-50868821332118895772013-06-02T05:49:00.003-07:002013-06-06T15:54:42.370-07:00La figura geométrica más simple, el átomo de la Geometría, es el triángulo rectángulo de catetos iguales.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUKyf9c-jWRETbDd_xyDWTWQmKiCffhCV_8IksSuqVwQtOtAhogipi4-rQnZzpSpp23OJnIkkFEYGLu3QuDJ7L1l_qO9CAK9SahwA6fNCh15BaxjY7HHQJBSpTx5dC6QdUAr3Pu779Qrc/s1600/Sin+t%C3%ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="366" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUKyf9c-jWRETbDd_xyDWTWQmKiCffhCV_8IksSuqVwQtOtAhogipi4-rQnZzpSpp23OJnIkkFEYGLu3QuDJ7L1l_qO9CAK9SahwA6fNCh15BaxjY7HHQJBSpTx5dC6QdUAr3Pu779Qrc/s400/Sin+t%C3%ADtulo-1.jpg" width="400" /></a></div>
<br />Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-87506465853942527072013-06-02T05:37:00.000-07:002013-06-06T15:55:01.053-07:00El cuadrado es la pirámide vista desde su cúspide.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgApfuA3kJWHcPEdZyMY6jea7lVH9-nueMzQItjyRLCCbHzRJXP19MnOiIDxiqFzL3sWRJbzWPxdxxyBNG-Q4ImYP1hmyoKQfmbohiddNY3QtAWE-xrtn0lpqvA5ZuF30GPI4IM634bsOs/s1600/Sin+t%C3%ADtulo-2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="366" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgApfuA3kJWHcPEdZyMY6jea7lVH9-nueMzQItjyRLCCbHzRJXP19MnOiIDxiqFzL3sWRJbzWPxdxxyBNG-Q4ImYP1hmyoKQfmbohiddNY3QtAWE-xrtn0lpqvA5ZuF30GPI4IM634bsOs/s400/Sin+t%C3%ADtulo-2.jpg" width="400" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-75431711321115980402013-06-02T05:23:00.003-07:002013-06-06T15:56:47.832-07:00El cuadrado<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC2bT2bj_9fQucUEuHDBsENbbpqLPfdjVxVnZFTUD52KCYdH32swwZbqbDFHT2erEiqBUXieoxEIUE2l9SoxYb7VXbXX5kAtBj6EaCAJ6aswyfYil2Efv7pXLqrw-7IIM9dFHwh-ceBFA/s1600/Sin+t%C3%ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC2bT2bj_9fQucUEuHDBsENbbpqLPfdjVxVnZFTUD52KCYdH32swwZbqbDFHT2erEiqBUXieoxEIUE2l9SoxYb7VXbXX5kAtBj6EaCAJ6aswyfYil2Efv7pXLqrw-7IIM9dFHwh-ceBFA/s400/Sin+t%C3%ADtulo-1.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
El cuadrado es una figura geométrica regular que resulta del trazado de las diagonales del círculo.</div>
<br />Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-67735625771206846142013-06-02T04:55:00.002-07:002013-06-06T15:57:14.844-07:00<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4AW4EXDVbs68AHEP8Bm6HAoOhYnxs5OG3E-uO95BcED7hsGB3tkNm7jzsgKL2etZxOGIxG324WV92z25DaniTKYwMHY1JDq7oBhFajDFsotLOuWR0SReEQAoSN2cyUAfZOgMcJUW1m6g/s1600/Sin+t%C3%ADtulo-4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="355" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4AW4EXDVbs68AHEP8Bm6HAoOhYnxs5OG3E-uO95BcED7hsGB3tkNm7jzsgKL2etZxOGIxG324WV92z25DaniTKYwMHY1JDq7oBhFajDFsotLOuWR0SReEQAoSN2cyUAfZOgMcJUW1m6g/s400/Sin+t%C3%ADtulo-4.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
La evolución de la Geometría Euclideana dio origen a los pensamientos y teorías más complejas en Física.</div>
<br />Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-70885476077492729202013-06-02T04:34:00.001-07:002013-06-06T15:57:23.826-07:00Cuadrado inscrito<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir_LeMsDlPSmf4fLSsazzAlk_29tKRPs0yqczPfjD4VLRcfmbfOgoAkiaPDirNSQphk3oE48RvqZWY-KCaCbE-USG4XJS1USJvNb38VhBSZevPdtBa19SuDZRXrrIQY0MuQ0xolNa2e5E/s1600/Sin+t%C3%ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="392" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir_LeMsDlPSmf4fLSsazzAlk_29tKRPs0yqczPfjD4VLRcfmbfOgoAkiaPDirNSQphk3oE48RvqZWY-KCaCbE-USG4XJS1USJvNb38VhBSZevPdtBa19SuDZRXrrIQY0MuQ0xolNa2e5E/s400/Sin+t%C3%ADtulo-1.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: left;">
Los antiguos eran capaces de demostrar la existencia del Orden Divino mediante el cubo inscrito en una esfera, representado en dos dimensiones por el cuadrado inscrito dentro de un círculo.</div>
<br />Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-15857638969284068492013-06-02T04:14:00.002-07:002013-06-06T15:58:09.903-07:00Hexágono<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjirHcngGxLfeXAw5r1M3UTrHrtNokaUZ5SbI2s1Guanz4lwKpFQOlPfnr7l9sok-XxJDh51y9HHEqZ6zNpEcTbrSn6Vxujcw4TiZx0mKJ3VzeNoaXpLt6-XOUHNxkUi0YSPi_nTslb-Ug/s1600/Sin+t%C3%ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjirHcngGxLfeXAw5r1M3UTrHrtNokaUZ5SbI2s1Guanz4lwKpFQOlPfnr7l9sok-XxJDh51y9HHEqZ6zNpEcTbrSn6Vxujcw4TiZx0mKJ3VzeNoaXpLt6-XOUHNxkUi0YSPi_nTslb-Ug/s400/Sin+t%C3%ADtulo-1.jpg" width="400" /></a></div>
<br />Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-67813219478354274242012-03-11T16:35:00.007-07:002013-06-06T15:56:21.643-07:00Dos rectas que se cortan en un punto<div class="MsoNormal" style="margin: 0cm 0cm 10pt;">
<span style="font-family: Calibri;">La geometría plana de los griegos es bidimensional; sólo vale sobre el papel, o sobre una realidad donde se pudiera mantener la rectitud de las líneas.</span><br />
<br />
<span style="font-family: Calibri;">Dice Euclides: <em>Dos <b>rectas</b> que se cortan en un punto, continuadas hasta el infinito, jamás se vuelven a cortar.</em></span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3YkqFv935vrpYype6ZsEVhVCs2B-aybhuflxOciM_PqG7X-15lGXEt_lrtMW6S0docmQvZqEyv2t7J2DsL6Etf-IOemQyO33-9A8pGSDVSOE9WRLRGrk4bz9egZnMVE7BMULth2-NPCs/s1600/Sin+t%C3%ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="352" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3YkqFv935vrpYype6ZsEVhVCs2B-aybhuflxOciM_PqG7X-15lGXEt_lrtMW6S0docmQvZqEyv2t7J2DsL6Etf-IOemQyO33-9A8pGSDVSOE9WRLRGrk4bz9egZnMVE7BMULth2-NPCs/s400/Sin+t%C3%ADtulo-1.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
Esta afirmación es válida sobre el plano, pero no sobre la esfera donde, de hecho, las 'curvas' se vuelven a cortar.<br />
<br />
En el espacio los efectos de la gravedad hacen que las líneas jamás sean rectas.</div>
Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-34950058829354893102012-03-11T15:17:00.001-07:002013-06-02T05:09:12.681-07:00Los poliedros regulares<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjJQSRpRD2hj4vKwiMuW897fLPsD5QI9zDrSww4DFJ8r0VI9-MXtIE7Jrna4vHA2PLwoynu91c-V7VyFP_ZrIURyLC078TUHdm8141POMT69vXuX-2CA5ui4Rksyobl4qeNt_GFiWWjtZA/s1600/Sin+t%C3%ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="246" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjJQSRpRD2hj4vKwiMuW897fLPsD5QI9zDrSww4DFJ8r0VI9-MXtIE7Jrna4vHA2PLwoynu91c-V7VyFP_ZrIURyLC078TUHdm8141POMT69vXuX-2CA5ui4Rksyobl4qeNt_GFiWWjtZA/s640/Sin+t%C3%ADtulo-1.jpg" width="640" /></a></div>
<br />
Se supone que los griegos dieron un paso evolutivo más respecto a los antiguos, por lo menos en Geometría, porque agregaron al cubo todos los demás cuerpos geométricos regulares.Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0tag:blogger.com,1999:blog-4647529702233992862.post-31870965214368719582011-08-05T04:02:00.000-07:002011-08-05T04:02:40.391-07:00El poliedro dual de CsászárDado un poliedro cualquiera, su <strong>poliedro dual</strong> puede construirse tomando un punto en cada una de las caras del poliedro inicial y uniendo el punto tomado en cada cara con los puntos tomados en las caras adyacentes a ésta. Por ejemplo, el poliedro dual del tetraedro es el propio tetraedro.<br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnFsYVv5z6CxzDlhNKcCQVDTv0lRE5om9CFTyJEuAEimBUL5ps41nXx0S8YjwBZ7jj06tr97zsX749BthbyQVyL2i7EtdotH7ciFY4Znlu1AwFXPzaGIE6JfiQhX7k_JRP21msF6Q8tak/s1600/Sin+t%25C3%25ADtulo-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnFsYVv5z6CxzDlhNKcCQVDTv0lRE5om9CFTyJEuAEimBUL5ps41nXx0S8YjwBZ7jj06tr97zsX749BthbyQVyL2i7EtdotH7ciFY4Znlu1AwFXPzaGIE6JfiQhX7k_JRP21msF6Q8tak/s1600/Sin+t%25C3%25ADtulo-1.jpg" t$="true" /></a></div>Marta Balbihttp://www.blogger.com/profile/18123104082295533883noreply@blogger.com0