221:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial:@0.721207:0.043660:0.914624:0.043660:0.914624:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073089:0.136836:0.149461:0.136836:0.149461:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la medida de los ángulos   y  , teniendo en cuenta la figura::@0.073089:0.157056:0.550972:0.157056:0.550972:0.141343:0.073089:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β:@0.297455:0.157639:0.335779:0.157639:0.335779:0.139984:0.297455:0.139984:0.000000:0.000000:0.000000
Gráfica 4.4 rectas paralelas cortadas por una secante:@0.192478:0.181922:0.587148:0.181922:0.587148:0.165252:0.192478:0.165252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
135°:@0.427079:0.298467:0.459438:0.298467:0.459438:0.282755:0.427079:0.282755:0.000000:0.000000:0.000000:0.000000
:@0.309386:0.229378:0.321664:0.229378:0.321664:0.211724:0.309386:0.211724:0.000000
:@0.350544:0.220891:0.362821:0.220891:0.362821:0.203237:0.350544:0.203237:0.000000
Por ser ángulos correspondientes entre rectas paralelas cortadas por una secante, :@0.073089:0.373942:0.710109:0.373942:0.710109:0.358229:0.073089:0.358229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos afirmar que  mide 135º.:@0.073089:0.390584:0.327680:0.390584:0.327680:0.374871:0.073089:0.374871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 β:@0.230379:0.391166:0.246227:0.391166:0.246227:0.373512:0.230379:0.373512:0.000000:0.000000
α β:@0.073089:0.416032:0.111413:0.416032:0.111413:0.398378:0.073089:0.398378:0.000000:0.000000:0.000000
 y   son suplementarios, es decir que :@0.084244:0.415450:0.357098:0.415450:0.357098:0.399737:0.084244:0.399737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α+β=:@0.356800:0.416032:0.409684:0.416032:0.409684:0.398378:0.356800:0.398378:0.000000:0.000000:0.000000:0.000000
180º:@0.409592:0.415450:0.442522:0.415450:0.442522:0.399737:0.409592:0.399737:0.000000:0.000000:0.000000:0.000000
Reemplazando el valor de β, obtenemos:@0.073089:0.440315:0.365981:0.440315:0.365981:0.424603:0.073089:0.424603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α+:@0.073089:0.465763:0.099577:0.465763:0.099577:0.448109:0.073089:0.448109:0.000000:0.000000
135º 180º:@0.099485:0.465181:0.180477:0.465181:0.180477:0.449468:0.099485:0.449468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.132305:0.465763:0.147638:0.465763:0.147638:0.448109:0.132305:0.448109:0.000000
Luego :@0.073089:0.490047:0.123186:0.490047:0.123186:0.474334:0.073089:0.474334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α=:@0.123083:0.490629:0.149571:0.490629:0.149571:0.472975:0.123083:0.472975:0.000000:0.000000
45º :@0.149479:0.490047:0.177532:0.490047:0.177532:0.474334:0.149479:0.474334:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.073089:0.517408:0.149461:0.517408:0.149461:0.500739:0.073089:0.500739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla el valor de los ángulos de la figura si se sabe que el ángulo 6 mide 58º y que las :@0.073089:0.542274:0.710311:0.542274:0.710311:0.526562:0.073089:0.526562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas   y   son paralelas. :@0.073089:0.558916:0.264758:0.558916:0.264758:0.543203:0.073089:0.543203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.120027:0.558916:0.159989:0.558916:0.159989:0.542510:0.120027:0.542510:0.000000:0.000000:0.000000
Gráfica 4.5 ángulos congruentes:@0.109646:0.593295:0.353223:0.593295:0.353223:0.576626:0.109646:0.576626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.247373:0.645828:0.253147:0.645828:0.253147:0.635727:0.247373:0.635727:0.000000
3:@0.222570:0.645828:0.228345:0.645828:0.228345:0.635727:0.222570:0.635727:0.000000
5:@0.181225:0.715349:0.187000:0.715349:0.187000:0.705248:0.181225:0.705248:0.000000
6:@0.201105:0.715349:0.206879:0.715349:0.206879:0.705248:0.201105:0.705248:0.000000
1:@0.227670:0.631055:0.233445:0.631055:0.233445:0.620954:0.227670:0.620954:0.000000
2:@0.250071:0.631055:0.255845:0.631055:0.255845:0.620954:0.250071:0.620954:0.000000
8:@0.200288:0.731869:0.206063:0.731869:0.206063:0.721768:0.200288:0.721768:0.000000
7:@0.178622:0.731869:0.184396:0.731869:0.184396:0.721768:0.178622:0.721768:0.000000
m:@0.343684:0.647352:0.353376:0.647352:0.353376:0.637251:0.343684:0.637251:0.000000
p:@0.162719:0.755044:0.169251:0.755044:0.169251:0.744943:0.162719:0.744943:0.000000
n:@0.347034:0.729232:0.353377:0.729232:0.353377:0.719131:0.347034:0.719131:0.000000
Sabemos que para el ángulo 6::@0.396408:0.627141:0.619927:0.627141:0.619927:0.611429:0.396408:0.611429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.396408:0.652586:0.455734:0.652586:0.455734:0.634931:0.396408:0.634931:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.411649:0.652003:0.420632:0.652003:0.420632:0.636290:0.411649:0.636290:0.000000
7 por ser opuestos por el vértice.:@0.455642:0.652003:0.691649:0.652003:0.691649:0.636290:0.455642:0.636290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.396408:0.677451:0.455734:0.677451:0.455734:0.659797:0.396408:0.659797:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.411649:0.676869:0.420632:0.676869:0.420632:0.661156:0.411649:0.661156:0.000000
2 por ser correspondientes.:@0.455642:0.676869:0.652812:0.676869:0.652812:0.661156:0.455642:0.661156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.396408:0.702317:0.455734:0.702317:0.455734:0.684663:0.396408:0.684663:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.411649:0.701734:0.420632:0.701734:0.420632:0.686022:0.411649:0.686022:0.000000
3 por ser opuestos por el vértice.:@0.455642:0.701734:0.691649:0.701734:0.691649:0.686022:0.455642:0.686022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.396408:0.727183:0.455734:0.727183:0.455734:0.709528:0.396408:0.709528:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.411649:0.726600:0.420632:0.726600:0.420632:0.710887:0.411649:0.710887:0.000000
7 por ser correspondientes.:@0.455642:0.726600:0.652812:0.726600:0.652812:0.710887:0.455642:0.710887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, la medida de los ángulos 2, 3, 6 y 7 es la misma, y es igual a 58º :@0.073089:0.790988:0.583400:0.790988:0.583400:0.775275:0.073089:0.775275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.615267:0.790988:0.619298:0.790988:0.619298:0.775275:0.615267:0.775275:0.000000
Los ángulos  5 y  6 son suplementarios porque son adyascentes. Es decir que la suma :@0.073081:0.807629:0.710662:0.807629:0.710662:0.791917:0.073081:0.791917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.162927:0.808212:0.178260:0.808212:0.178260:0.790558:0.162927:0.790558:0.000000
∡:@0.202576:0.808212:0.217909:0.808212:0.217909:0.790558:0.202576:0.790558:0.000000
de sus medidas es 180º. Como la medida del  6 es 58º, la medida del  5 es 122º.:@0.073081:0.824271:0.664727:0.824271:0.664727:0.808559:0.073081:0.808559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.399975:0.824854:0.415309:0.824854:0.415309:0.807200:0.399975:0.807200:0.000000
∡:@0.580956:0.824854:0.596289:0.824854:0.596289:0.807200:0.580956:0.807200:0.000000
Sabemos que para el ángulo 5::@0.073081:0.848055:0.296600:0.848055:0.296600:0.832343:0.073081:0.832343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.073081:0.867069:0.132408:0.867069:0.132408:0.849414:0.073081:0.849414:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.088322:0.866486:0.097305:0.866486:0.097305:0.850773:0.088322:0.850773:0.000000
8 por ser opuestos por el vértice.:@0.132316:0.866486:0.368322:0.866486:0.368322:0.850773:0.132316:0.850773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.073081:0.885499:0.132408:0.885499:0.132408:0.867845:0.073081:0.867845:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.088322:0.884917:0.097305:0.884917:0.097305:0.869204:0.088322:0.869204:0.000000
1 por ser correspondientes.:@0.132316:0.884917:0.329485:0.884917:0.329485:0.869204:0.132316:0.869204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.073081:0.903930:0.132408:0.903930:0.132408:0.886276:0.073081:0.886276:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.088322:0.903348:0.097305:0.903348:0.097305:0.887635:0.088322:0.887635:0.000000
4 por ser opuestos por el vértice.:@0.132316:0.903348:0.368322:0.903348:0.368322:0.887635:0.132316:0.887635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅ ∡:@0.073081:0.922361:0.132408:0.922361:0.132408:0.904707:0.073081:0.904707:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.088322:0.921779:0.097305:0.921779:0.097305:0.906066:0.088322:0.906066:0.000000
8 por ser correspondientes.:@0.132316:0.921779:0.329485:0.921779:0.329485:0.906066:0.132316:0.906066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, la medida de los ángulos 1, 4, 5 y 8 es la misma, y es igual a 122º.:@0.073081:0.940209:0.591470:0.940209:0.591470:0.924497:0.073081:0.924497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.145093:0.906668:0.145093:0.906668:0.128146:0.740294:0.128146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.740294:0.161735:0.850115:0.161735:0.850115:0.146022:0.740294:0.146022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería vial:@0.740294:0.178377:0.840772:0.178377:0.840772:0.162664:0.740294:0.162664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el :@0.741151:0.209195:0.776576:0.209195:0.776576:0.194911:0.741151:0.194911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dibujo técnico y el :@0.776476:0.209195:0.906123:0.209195:0.906123:0.194041:0.776476:0.194041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arte:@0.741151:0.224324:0.768703:0.224324:0.768703:0.209170:0.741151:0.209170:0.000000:0.000000:0.000000:0.000000
, los ángulos formados :@0.768628:0.224324:0.920359:0.224324:0.920359:0.210040:0.768628:0.210040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por líneas paralelas :@0.741151:0.239453:0.870336:0.239453:0.870336:0.225169:0.741151:0.225169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cortadas por secantes :@0.741151:0.254582:0.889131:0.254582:0.889131:0.240298:0.741151:0.240298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son fundamentales :@0.741151:0.269711:0.871926:0.269711:0.871926:0.255427:0.741151:0.255427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para crear la ilusión de :@0.741151:0.284840:0.892067:0.284840:0.892067:0.270556:0.741151:0.270556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
profundidad y perspectiva, :@0.741151:0.299969:0.921627:0.299969:0.921627:0.285685:0.741151:0.285685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que permite representar :@0.741151:0.315098:0.921433:0.315098:0.921433:0.300814:0.741151:0.300814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espacios tridimensionales :@0.741151:0.330227:0.914390:0.330227:0.914390:0.315943:0.741151:0.315943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en superficies planas. Este :@0.741151:0.345356:0.915430:0.345356:0.915430:0.331072:0.741151:0.331072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principio es clave en la :@0.741151:0.360485:0.893927:0.360485:0.893927:0.346201:0.741151:0.346201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perspectiva lineal, una :@0.741151:0.375614:0.891474:0.375614:0.891474:0.361330:0.741151:0.361330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
técnica que simula cómo :@0.741151:0.390743:0.911026:0.390743:0.911026:0.376458:0.741151:0.376458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los objetos se ven más :@0.741151:0.405872:0.893233:0.405872:0.893233:0.391587:0.741151:0.391587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeños a medida que :@0.741151:0.421001:0.906799:0.421001:0.906799:0.406716:0.741151:0.406716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se alejan del observador, :@0.741151:0.436130:0.906921:0.436130:0.906921:0.421845:0.741151:0.421845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convergiendo en un punto :@0.741151:0.451258:0.923317:0.451258:0.923317:0.436974:0.741151:0.436974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de fuga en el horizonte.:@0.741151:0.466387:0.897020:0.466387:0.897020:0.452103:0.741151:0.452103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000