227:@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
5.2 Ángulos de los triángulos:@0.073089:0.136265:0.300693:0.136265:0.300693:0.119318:0.073089:0.119318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos interiores:@0.162564:0.174999:0.301295:0.174999:0.301295:0.158329:0.162564:0.158329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos exteriores:@0.477457:0.174999:0.619662:0.174999:0.619662:0.158329:0.477457:0.158329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son los ángulos que están dentro del :@0.097144:0.195482:0.370937:0.195482:0.370937:0.179770:0.097144:0.179770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo.:@0.197445:0.212124:0.266441:0.212124:0.266441:0.196411:0.197445:0.196411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son los ángulos que se forman entre la :@0.407932:0.195482:0.693418:0.195482:0.693418:0.179770:0.407932:0.179770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proyección de un lado y su lado :@0.432985:0.212124:0.668338:0.212124:0.668338:0.196411:0.432985:0.196411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adyascente.:@0.505841:0.228766:0.591311:0.228766:0.591311:0.213053:0.505841:0.213053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 5.8 ángulos interiores:@0.122215:0.249249:0.341716:0.249249:0.341716:0.232580:0.122215:0.232580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.226271:0.336852:0.237536:0.336852:0.237536:0.320183:0.226271:0.320183:0.000000
B:@0.172798:0.372299:0.182775:0.372299:0.182775:0.355630:0.172798:0.355630:0.000000
C:@0.278216:0.372299:0.288893:0.372299:0.288893:0.355630:0.278216:0.355630:0.000000
A, B y C son los ángulos interiores del :@0.097912:0.440214:0.370170:0.440214:0.370170:0.424502:0.097912:0.424502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo:@0.198826:0.456856:0.265029:0.456856:0.265029:0.441144:0.198826:0.441144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 5.9 ángulos exteriores:@0.437089:0.249263:0.660064:0.249263:0.660064:0.232594:0.437089:0.232594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.604741:0.373692:0.614965:0.373692:0.614965:0.357643:0.604741:0.357643:0.000000
:@0.465733:0.389641:0.476894:0.389641:0.476894:0.373592:0.465733:0.373592:0.000000
:@0.519147:0.304717:0.530309:0.304717:0.530309:0.288668:0.519147:0.288668:0.000000
A:@0.447257:0.383705:0.458522:0.383705:0.458522:0.367036:0.447257:0.367036:0.000000
B:@0.542110:0.304504:0.552086:0.304504:0.552086:0.287834:0.542110:0.287834:0.000000
C:@0.598086:0.393857:0.608762:0.393857:0.608762:0.377187:0.598086:0.377187:0.000000
α:@0.415543:0.451517:0.426790:0.451517:0.426790:0.433863:0.415543:0.433863:0.000000
, β,  , son los ángulos exteriores del :@0.426698:0.450934:0.685734:0.450934:0.685734:0.435222:0.426698:0.435222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
γ:@0.450222:0.451517:0.460457:0.451517:0.460457:0.433863:0.450222:0.433863:0.000000
triángulo ABC:@0.498320:0.467576:0.598817:0.467576:0.598817:0.451864:0.498320:0.451864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema::@0.073094:0.502469:0.142830:0.502469:0.142830:0.485799:0.073094:0.485799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de las medidas de los ángulos interiores de un triángulo es 180º.:@0.142729:0.502469:0.671303:0.502469:0.671303:0.486756:0.142729:0.486756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 5.10 ángulos de los triángulos:@0.248405:0.536973:0.531166:0.536973:0.531166:0.520303:0.248405:0.520303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.289577:0.680020:0.301118:0.680020:0.301118:0.662943:0.289577:0.662943:0.000000
B:@0.474472:0.680020:0.484693:0.680020:0.484693:0.662943:0.474472:0.662943:0.000000
C:@0.381638:0.569829:0.392575:0.569829:0.392575:0.552751:0.381638:0.552751:0.000000
:@0.381868:0.593817:0.392342:0.593817:0.392342:0.575724:0.381868:0.575724:0.000000
:@0.318404:0.659911:0.329839:0.659911:0.329839:0.643469:0.318404:0.643469:0.000000
:@0.445262:0.661874:0.456696:0.661874:0.456696:0.645433:0.445262:0.645433:0.000000
Trazamos una recta paralela a :@0.073089:0.716597:0.306977:0.716597:0.306977:0.700885:0.073089:0.700885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.309479:0.716528:0.328199:0.716528:0.328199:0.700122:0.309479:0.700122:0.000000:0.000000
 que pase por  . Prolongamos los lados :@0.328137:0.716597:0.640547:0.716597:0.640547:0.700885:0.328137:0.700885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.443053:0.716597:0.452956:0.716597:0.452956:0.700191:0.443053:0.700191:0.000000
AC:@0.643036:0.716445:0.662824:0.716445:0.662824:0.700039:0.643036:0.700039:0.000000:0.000000
 y :@0.663728:0.716597:0.682098:0.716597:0.682098:0.700885:0.663728:0.700885:0.000000:0.000000:0.000000
BC:@0.683330:0.716445:0.702069:0.716445:0.702069:0.700039:0.683330:0.700039:0.000000:0.000000
, :@0.703138:0.716597:0.710372:0.716597:0.710372:0.700885:0.703138:0.700885:0.000000:0.000000
formando los ángulos 1, 2 y 3.:@0.073094:0.733239:0.288722:0.733239:0.288722:0.717527:0.073094:0.717527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica 5.11 ángulos de los triángulos:@0.248423:0.767743:0.531185:0.767743:0.531185:0.751074:0.248423:0.751074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.363328:0.824362:0.371913:0.824362:0.371913:0.809208:0.363328:0.809208:0.000000
A:@0.290554:0.933715:0.301820:0.933715:0.301820:0.917045:0.290554:0.917045:0.000000
B:@0.471037:0.933715:0.481014:0.933715:0.481014:0.917045:0.471037:0.917045:0.000000
C:@0.405508:0.840840:0.416184:0.840840:0.416184:0.824170:0.405508:0.824170:0.000000
:@0.384763:0.845677:0.394987:0.845677:0.394987:0.829628:0.384763:0.829628:0.000000
:@0.312439:0.917263:0.323600:0.917263:0.323600:0.901213:0.312439:0.901213:0.000000
:@0.453120:0.917263:0.464282:0.917263:0.464282:0.901213:0.453120:0.901213:0.000000
2:@0.385986:0.815104:0.394570:0.815104:0.394570:0.799950:0.385986:0.799950:0.000000
3:@0.408376:0.824358:0.416960:0.824358:0.416960:0.809204:0.408376:0.809204:0.000000
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 y:@0.740294:0.161735:0.845256:0.161735:0.845256:0.146022:0.740294:0.146022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arte:@0.740294:0.178377:0.768829:0.178377:0.768829:0.162664:0.740294:0.162664:0.000000:0.000000:0.000000:0.000000
El arte hecho con :@0.741151:0.209195:0.859974:0.209195:0.859974:0.194911:0.741151:0.194911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos, conocido :@0.741151:0.224324:0.880097:0.224324:0.880097:0.210040:0.741151:0.210040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como arte triangular o arte :@0.741151:0.239453:0.922244:0.239453:0.922244:0.225169:0.741151:0.225169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
poligonal, utiliza formas :@0.741151:0.254582:0.901125:0.254582:0.901125:0.240298:0.741151:0.240298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométricas simples, :@0.741151:0.269711:0.883477:0.269711:0.883477:0.255427:0.741151:0.255427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
principalmente triángulos, :@0.741151:0.284840:0.918553:0.284840:0.918553:0.270556:0.741151:0.270556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para crear imágenes :@0.741151:0.299969:0.878512:0.299969:0.878512:0.285685:0.741151:0.285685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abstractas o estilizadas. :@0.741151:0.315098:0.896948:0.315098:0.896948:0.300814:0.741151:0.300814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este estilo se caracteriza :@0.741151:0.330227:0.902487:0.330227:0.902487:0.315943:0.741151:0.315943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la fragmentación de :@0.741151:0.345356:0.904046:0.345356:0.904046:0.331072:0.741151:0.331072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una imagen en muchas :@0.741151:0.360485:0.900925:0.360485:0.900925:0.346201:0.741151:0.346201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
piezas triangulares, :@0.741151:0.375614:0.869881:0.375614:0.869881:0.361330:0.741151:0.361330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creando un efecto visual :@0.741151:0.390743:0.906320:0.390743:0.906320:0.376458:0.741151:0.376458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinámico y moderno.:@0.741151:0.405872:0.882722:0.405872:0.882722:0.391587:0.741151:0.391587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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