149:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Áreas asociadas: Matemática, Ingeniería civil, TIC:@0.360375:0.123447:0.695700:0.123447:0.695700:0.108293:0.360375:0.108293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema:  :@0.095620:0.151548:0.179637:0.151548:0.179637:0.125357:0.095620:0.125357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculo de la :@0.095632:0.177267:0.251752:0.177267:0.251752:0.151076:0.095632:0.151076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resistencia de :@0.095632:0.202986:0.267910:0.202986:0.267910:0.176796:0.095632:0.176796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una viga y cálculo :@0.095632:0.228705:0.317722:0.228705:0.317722:0.202515:0.095632:0.202515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencial:@0.095632:0.254425:0.224380:0.254425:0.224380:0.228234:0.095632:0.228234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justificación:@0.362440:0.142576:0.460182:0.142576:0.460182:0.125629:0.362440:0.125629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El estudio del cálculo diferencial es muy útil en la ingeniería civil y en otras :@0.362440:0.162796:0.930648:0.162796:0.930648:0.146362:0.362440:0.146362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
áreas. El cálculo de máximos y mínimos a través de la derivada permite conocer :@0.362440:0.179438:0.930550:0.179438:0.930550:0.163004:0.362440:0.163004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las dimensiones de una viga que debe soportar un determinado peso.:@0.362440:0.196080:0.871358:0.196080:0.871358:0.179646:0.362440:0.179646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Objetivos:@0.362440:0.216300:0.438384:0.216300:0.438384:0.199353:0.362440:0.199353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular la máxima resistencia de una viga de madera en función de sus :@0.362440:0.236520:0.931056:0.236520:0.931056:0.220086:0.362440:0.220086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dimensiones (espesor, ancho, largo).:@0.362440:0.253161:0.624347:0.253161:0.624347:0.236728:0.362440:0.236728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividades:@0.362440:0.273381:0.454857:0.273381:0.454857:0.256434:0.362440:0.256434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.362440:0.293580:0.370484:0.293580:0.370484:0.277146:0.362440:0.277146:0.000000:0.000000
Formen:@0.393101:0.293580:0.451855:0.293580:0.451855:0.276633:0.393101:0.276633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 equipos de trabajo con no más de tres estudiantes por grupo.:@0.451305:0.293580:0.875067:0.293580:0.875067:0.277146:0.451305:0.277146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.362440:0.313796:0.370944:0.313796:0.370944:0.297362:0.362440:0.297362:0.000000:0.000000
Consulten:@0.392641:0.313796:0.473184:0.313796:0.473184:0.296849:0.392641:0.296849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el concepto de viga —a partir del conocimiento que se tiene :@0.473136:0.313796:0.931241:0.313796:0.931241:0.297362:0.473136:0.297362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ingeniería y arquitectura— como un elemento estructural lineal que :@0.392549:0.330437:0.931340:0.330437:0.931340:0.314004:0.392549:0.314004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trabaja principalmente a flexión. :@0.392549:0.347079:0.629491:0.347079:0.629491:0.330646:0.392549:0.330646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.362440:0.367295:0.370944:0.367295:0.370944:0.350862:0.362440:0.350862:0.000000:0.000000
Revisen:@0.392641:0.367295:0.453932:0.367295:0.453932:0.350348:0.392641:0.350348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los elementos y ecuaciones de la elipse.:@0.453845:0.367295:0.745254:0.367295:0.745254:0.350862:0.453845:0.350862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.362440:0.387510:0.370944:0.387510:0.370944:0.371076:0.362440:0.371076:0.000000:0.000000
Calculen:@0.392641:0.387510:0.462811:0.387510:0.462811:0.370563:0.392641:0.370563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la resistencia de una viga de madera conociendo que está :@0.463104:0.387510:0.930908:0.387510:0.930908:0.371076:0.463104:0.371076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada por la relación directamente proporcional entre su ancho y el :@0.392549:0.404152:0.930694:0.404152:0.930694:0.387718:0.392549:0.387718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado del espesor. :@0.392549:0.420794:0.555116:0.420794:0.555116:0.404360:0.392549:0.404360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Apliquen:@0.554846:0.420794:0.627350:0.420794:0.627350:0.403847:0.554846:0.403847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cálculo de máximos y mínimos a partir :@0.627260:0.420794:0.931195:0.420794:0.931195:0.404360:0.627260:0.404360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la primera derivada.:@0.392549:0.437436:0.558163:0.437436:0.558163:0.421002:0.392549:0.421002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.362440:0.457652:0.370760:0.457652:0.370760:0.441218:0.362440:0.441218:0.000000:0.000000
Tomen:@0.392825:0.457652:0.446756:0.457652:0.446756:0.440705:0.392825:0.440705:0.000000:0.000000:0.000000:0.000000:0.000000
 en cuenta que la viga puede cortarse de un tronco cuya sección :@0.446666:0.457652:0.931156:0.457652:0.931156:0.441218:0.446666:0.441218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transversal es una elipse de semiejes   (mayor) y   (menor).:@0.392549:0.474294:0.808884:0.474294:0.808884:0.457860:0.392549:0.457860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.653306:0.474294:0.662565:0.474294:0.662565:0.457887:0.653306:0.457887:0.000000
b:@0.735863:0.474294:0.745121:0.474294:0.745121:0.457887:0.735863:0.457887:0.000000
1. :@0.393985:0.502979:0.410054:0.502979:0.410054:0.486545:0.393985:0.486545:0.000000:0.000000:0.000000
x:@0.427360:0.494615:0.434815:0.494615:0.434815:0.478209:0.427360:0.478209:0.000000
2:@0.434748:0.488552:0.439985:0.488552:0.439985:0.478971:0.434748:0.478971:0.000000
a:@0.426458:0.511005:0.435717:0.511005:0.435717:0.494599:0.426458:0.494599:0.000000
2:@0.435650:0.504941:0.440887:0.504941:0.440887:0.495360:0.435650:0.495360:0.000000
 + :@0.443078:0.502979:0.461964:0.502979:0.461964:0.486545:0.443078:0.486545:0.000000:0.000000:0.000000
y:@0.465035:0.495509:0.472508:0.495509:0.472508:0.479103:0.465035:0.479103:0.000000
2:@0.472441:0.489446:0.477678:0.489446:0.477678:0.479865:0.472441:0.479865:0.000000
b:@0.464141:0.511899:0.473400:0.511899:0.473400:0.495493:0.464141:0.495493:0.000000
2:@0.473335:0.505835:0.478572:0.505835:0.478572:0.496254:0.473335:0.496254:0.000000
 = 1.:@0.480763:0.502979:0.511687:0.502979:0.511687:0.486545:0.480763:0.486545:0.000000:0.000000:0.000000:0.000000:0.000000
2.  R = (2 )(2 )  = 8:@0.393985:0.533915:0.544529:0.533915:0.544529:0.517482:0.393985:0.517482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.469357:0.533915:0.476812:0.533915:0.476812:0.517509:0.469357:0.517509:0.000000
x:@0.496066:0.533915:0.503521:0.533915:0.503521:0.517509:0.496066:0.517509:0.000000
2:@0.508638:0.527851:0.513875:0.527851:0.513875:0.518271:0.508638:0.518271:0.000000
xy:@0.544676:0.533915:0.559918:0.533915:0.559918:0.517509:0.544676:0.517509:0.000000:0.000000
2:@0.560025:0.527851:0.565262:0.527851:0.565262:0.518271:0.560025:0.518271:0.000000
, siendo   resistencia, 2  ancho de la viga ( ), 2  :@0.565341:0.533915:0.930946:0.533915:0.930946:0.517482:0.565341:0.517482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.629306:0.533915:0.638252:0.533915:0.638252:0.517509:0.629306:0.517509:0.000000
x:@0.739327:0.533915:0.746781:0.533915:0.746781:0.517509:0.739327:0.517509:0.000000
a:@0.887726:0.533915:0.896598:0.533915:0.896598:0.517246:0.887726:0.517246:0.000000
y:@0.919441:0.533915:0.926915:0.533915:0.926915:0.517509:0.919441:0.517509:0.000000
espesor de la viga ( ).:@0.424102:0.550557:0.580601:0.550557:0.580601:0.534123:0.424102:0.534123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.562194:0.550557:0.572667:0.550557:0.572667:0.533888:0.562194:0.533888:0.000000
3. :@0.393985:0.577920:0.410054:0.577920:0.410054:0.561487:0.393985:0.561487:0.000000:0.000000:0.000000
b x:@0.424186:0.577920:0.446024:0.577920:0.446024:0.561514:0.424186:0.561514:0.000000:0.000000:0.000000
2 2:@0.433378:0.571857:0.451194:0.571857:0.451194:0.562276:0.433378:0.562276:0.000000:0.000000:0.000000
 + :@0.451148:0.577920:0.470033:0.577920:0.470033:0.561487:0.451148:0.561487:0.000000:0.000000:0.000000
a y:@0.469941:0.577920:0.491794:0.577920:0.491794:0.561514:0.469941:0.561514:0.000000:0.000000:0.000000
2 2:@0.479130:0.571857:0.496964:0.571857:0.496964:0.562276:0.479130:0.562276:0.000000:0.000000:0.000000
 = :@0.496918:0.577920:0.515804:0.577920:0.515804:0.561487:0.496918:0.561487:0.000000:0.000000:0.000000
a b:@0.515712:0.577920:0.539350:0.577920:0.539350:0.561514:0.515712:0.561514:0.000000:0.000000:0.000000
2 2:@0.524902:0.571857:0.544522:0.571857:0.544522:0.562276:0.524902:0.562276:0.000000:0.000000:0.000000
.  :@0.544474:0.577920:0.555592:0.577920:0.555592:0.561487:0.544474:0.561487:0.000000:0.000000:0.000000
Multiplicamos:@0.555500:0.577920:0.667711:0.577920:0.667711:0.560974:0.555500:0.560974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación ( ) por :@0.667600:0.577920:0.810017:0.577920:0.810017:0.561487:0.667600:0.561487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.762692:0.577920:0.772135:0.577920:0.772135:0.561251:0.762692:0.561251:0.000000
a b:@0.809907:0.577920:0.833533:0.577920:0.833533:0.561514:0.809907:0.561514:0.000000:0.000000:0.000000
2 2:@0.819085:0.571857:0.838703:0.571857:0.838703:0.562276:0.819085:0.562276:0.000000:0.000000:0.000000
.:@0.838657:0.577920:0.841860:0.577920:0.841860:0.561487:0.838657:0.561487:0.000000
4. :@0.393985:0.610180:0.410054:0.610180:0.410054:0.593747:0.393985:0.593747:0.000000:0.000000:0.000000
y:@0.424186:0.610180:0.431659:0.610180:0.431659:0.593774:0.424186:0.593774:0.000000
2:@0.431592:0.604117:0.436829:0.604117:0.436829:0.594536:0.431592:0.594536:0.000000
 =   – :@0.436783:0.610180:0.487075:0.610180:0.487075:0.593747:0.436783:0.593747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.455577:0.610180:0.464836:0.610180:0.464836:0.593774:0.455577:0.593774:0.000000
2:@0.464767:0.604117:0.470004:0.604117:0.470004:0.594536:0.464767:0.594536:0.000000
b x:@0.490079:0.601817:0.511917:0.601817:0.511917:0.585411:0.490079:0.585411:0.000000:0.000000:0.000000
2 2:@0.499271:0.595753:0.517087:0.595753:0.517087:0.586172:0.499271:0.586172:0.000000:0.000000:0.000000
a:@0.496367:0.618206:0.505626:0.618206:0.505626:0.601800:0.496367:0.601800:0.000000
2:@0.505561:0.612142:0.510798:0.612142:0.510798:0.602561:0.505561:0.602561:0.000000
.  :@0.520104:0.610180:0.531222:0.610180:0.531222:0.593747:0.520104:0.593747:0.000000:0.000000:0.000000
Despejamos:@0.531130:0.610180:0.628468:0.610180:0.628468:0.593233:0.531130:0.593233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   de la ecuación ( ).:@0.628376:0.610180:0.780115:0.610180:0.780115:0.593747:0.628376:0.593747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.632334:0.610180:0.639807:0.610180:0.639807:0.593774:0.632334:0.593774:0.000000
2:@0.639723:0.604117:0.644960:0.604117:0.644960:0.594536:0.639723:0.594536:0.000000
4:@0.762739:0.610180:0.772182:0.610180:0.772182:0.593511:0.762739:0.593511:0.000000
R:@0.424119:0.647833:0.433065:0.647833:0.433065:0.631426:0.424119:0.631426:0.000000
 = 8:@0.432991:0.647833:0.460786:0.647833:0.460786:0.631399:0.432991:0.631399:0.000000:0.000000:0.000000:0.000000
xy:@0.460676:0.647833:0.475733:0.647833:0.475733:0.631426:0.460676:0.631426:0.000000:0.000000
2:@0.475676:0.641762:0.480913:0.641762:0.480913:0.632181:0.475676:0.632181:0.000000
 = 8    – :@0.480867:0.647826:0.554647:0.647826:0.554647:0.631392:0.480867:0.631392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  b:@0.508551:0.647826:0.532407:0.647826:0.532407:0.631420:0.508551:0.631420:0.000000:0.000000:0.000000:0.000000
2:@0.532339:0.641762:0.537575:0.641762:0.537575:0.632181:0.532339:0.632181:0.000000
b x:@0.563024:0.641224:0.584861:0.641224:0.584861:0.624818:0.563024:0.624818:0.000000:0.000000:0.000000
2 2:@0.572217:0.635160:0.590033:0.635160:0.590033:0.625579:0.572217:0.625579:0.000000:0.000000:0.000000
a:@0.569314:0.657613:0.578573:0.657613:0.578573:0.641207:0.569314:0.641207:0.000000
2:@0.578506:0.651550:0.583743:0.651550:0.583743:0.641969:0.578506:0.641969:0.000000
. :@0.600432:0.647826:0.607592:0.647826:0.607592:0.631392:0.600432:0.631392:0.000000:0.000000
Introducimos:@0.607505:0.647826:0.713135:0.647826:0.713135:0.630879:0.607505:0.630879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ecuación ( ) en ecuación ( ).:@0.713034:0.647826:0.925233:0.647826:0.925233:0.631392:0.713034:0.631392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.792075:0.647826:0.801518:0.647826:0.801518:0.631157:0.792075:0.631157:0.000000
2:@0.907857:0.647826:0.917300:0.647826:0.917300:0.631157:0.907857:0.631157:0.000000
5. :@0.393985:0.685472:0.410054:0.685472:0.410054:0.669038:0.393985:0.669038:0.000000:0.000000:0.000000
R:@0.424186:0.685472:0.433132:0.685472:0.433132:0.669066:0.424186:0.669066:0.000000
 = 8  :@0.433058:0.685472:0.468768:0.685472:0.468768:0.669038:0.433058:0.669038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xb:@0.468658:0.685472:0.485298:0.685472:0.485298:0.669066:0.468658:0.669066:0.000000:0.000000
2:@0.485241:0.679408:0.490478:0.679408:0.490478:0.669827:0.485241:0.669827:0.000000
 – :@0.490430:0.685472:0.507549:0.685472:0.507549:0.669038:0.490430:0.669038:0.000000:0.000000:0.000000
b x:@0.514611:0.678870:0.536448:0.678870:0.536448:0.662464:0.514611:0.662464:0.000000:0.000000:0.000000
2 3:@0.523803:0.672806:0.541618:0.672806:0.541618:0.663225:0.523803:0.663225:0.000000:0.000000:0.000000
a:@0.520899:0.695259:0.530158:0.695259:0.530158:0.678853:0.520899:0.678853:0.000000
2:@0.530093:0.689195:0.535330:0.689195:0.535330:0.679614:0.530093:0.679614:0.000000
. :@0.552019:0.685472:0.559180:0.685472:0.559180:0.669038:0.552019:0.669038:0.000000:0.000000
Introducimos :@0.558539:0.685472:0.667243:0.685472:0.667243:0.668525:0.558539:0.668525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la variable   dentro del paréntesis.:@0.667142:0.685472:0.911728:0.685472:0.911728:0.669038:0.667142:0.669038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.743918:0.685472:0.751373:0.685472:0.751373:0.669066:0.743918:0.669066:0.000000
6. :@0.393985:0.723423:0.410054:0.723423:0.410054:0.706989:0.393985:0.706989:0.000000:0.000000:0.000000
dR:@0.425789:0.716846:0.443920:0.716846:0.443920:0.700440:0.425789:0.700440:0.000000:0.000000
dx:@0.426544:0.733238:0.443184:0.733238:0.443184:0.716832:0.426544:0.716832:0.000000:0.000000
 = 8    – :@0.445466:0.723419:0.512546:0.723423:0.512546:0.706989:0.445466:0.706985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.481066:0.723419:0.490325:0.723419:0.490325:0.707013:0.481066:0.707013:0.000000
2:@0.490238:0.717359:0.495475:0.717359:0.495475:0.707778:0.490238:0.707778:0.000000
3:@0.520295:0.716846:0.529278:0.716846:0.529278:0.700412:0.520295:0.700412:0.000000
b x:@0.529204:0.716846:0.551035:0.716846:0.551035:0.700440:0.529204:0.700440:0.000000:0.000000:0.000000
2 2:@0.538390:0.710782:0.556205:0.710782:0.556205:0.701201:0.538390:0.701201:0.000000:0.000000:0.000000
a:@0.531037:0.733235:0.540296:0.733235:0.540296:0.716829:0.531037:0.716829:0.000000
2:@0.540229:0.727172:0.545465:0.727172:0.545465:0.717591:0.540229:0.717591:0.000000
 e :@0.564105:0.723423:0.580947:0.723423:0.580947:0.706989:0.564105:0.706989:0.000000:0.000000:0.000000
igualamos:@0.580853:0.723423:0.663097:0.723423:0.663097:0.706476:0.580853:0.706476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a cero.:@0.663005:0.723423:0.713923:0.723423:0.713923:0.706989:0.663005:0.706989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despejamos:@0.424116:0.762393:0.519797:0.762393:0.519797:0.745446:0.424116:0.745446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   de esta ecuación:   = :@0.519520:0.762393:0.686272:0.762393:0.686272:0.745959:0.519520:0.745959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.523294:0.762393:0.530749:0.762393:0.530749:0.745987:0.523294:0.745987:0.000000
x:@0.660557:0.762393:0.668012:0.762393:0.668012:0.745987:0.660557:0.745987:0.000000
a:@0.691732:0.754466:0.700991:0.754466:0.700991:0.738060:0.691732:0.738060:0.000000
3:@0.695432:0.770859:0.704415:0.770859:0.704415:0.754425:0.695432:0.754425:0.000000
 ( ).:@0.705584:0.762396:0.730327:0.762396:0.730327:0.745963:0.705584:0.745963:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.714147:0.762396:0.722394:0.762396:0.722394:0.745727:0.714147:0.745727:0.000000
7. :@0.393985:0.798518:0.409132:0.798518:0.409132:0.782084:0.393985:0.782084:0.000000:0.000000:0.000000
Reemplazamos :@0.424646:0.798518:0.543334:0.798518:0.543334:0.781571:0.424646:0.781571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.542765:0.798518:0.563308:0.798518:0.563308:0.782112:0.542765:0.782112:0.000000:0.000000:0.000000
,   =   –   =   :@0.549687:0.798518:0.665584:0.798518:0.665584:0.782084:0.549687:0.782084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.562796:0.792454:0.568033:0.792454:0.568033:0.782873:0.562796:0.782873:0.000000
b:@0.585131:0.798518:0.594389:0.798518:0.594389:0.782112:0.585131:0.782112:0.000000
2:@0.593861:0.792454:0.599098:0.792454:0.599098:0.782873:0.593861:0.782873:0.000000
b:@0.615513:0.791049:0.624771:0.791049:0.624771:0.774643:0.615513:0.774643:0.000000
2:@0.624705:0.784985:0.629941:0.784985:0.629941:0.775405:0.624705:0.775405:0.000000
3:@0.618235:0.807439:0.627218:0.807439:0.627218:0.791005:0.618235:0.791005:0.000000
b:@0.647908:0.798522:0.657167:0.798522:0.657167:0.782116:0.647908:0.782116:0.000000
2:@0.656631:0.792454:0.661868:0.792454:0.661868:0.782873:0.656631:0.782873:0.000000
2:@0.672595:0.790125:0.681578:0.790125:0.681578:0.773691:0.672595:0.773691:0.000000
3:@0.672595:0.806517:0.681578:0.806517:0.681578:0.790084:0.672595:0.790084:0.000000
 y :@0.688591:0.798518:0.703685:0.798518:0.703685:0.782084:0.688591:0.782084:0.000000:0.000000:0.000000
obtenemos:@0.703129:0.798518:0.789550:0.798518:0.789550:0.781571:0.703129:0.781571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   =   :@0.788999:0.798518:0.829606:0.798518:0.829606:0.782084:0.788999:0.782084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y b:@0.792497:0.798518:0.826108:0.798518:0.826108:0.782112:0.792497:0.782112:0.000000:0.000000:0.000000
2:@0.843430:0.790055:0.852412:0.790055:0.852412:0.773621:0.843430:0.773621:0.000000
3:@0.843430:0.806447:0.852412:0.806447:0.852412:0.790013:0.843430:0.790013:0.000000
 ( ).:@0.856761:0.798518:0.881984:0.798518:0.881984:0.782084:0.856761:0.782084:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.864590:0.798518:0.874971:0.798518:0.874971:0.781848:0.864590:0.781848:0.000000
 :@0.362440:0.833030:0.366471:0.833030:0.366471:0.816596:0.362440:0.816596:0.000000
Resultados:@0.386157:0.833030:0.472963:0.833030:0.472963:0.816083:0.386157:0.816083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.362440:0.855751:0.366250:0.855751:0.366250:0.838804:0.362440:0.838804:0.000000
Ancho de la viga: :@0.386148:0.855751:0.524035:0.855751:0.524035:0.838804:0.386148:0.838804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  = 2 :@0.523927:0.855751:0.571969:0.855751:0.571969:0.839317:0.523927:0.839317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.532836:0.855751:0.540291:0.855751:0.540291:0.839345:0.532836:0.839345:0.000000
a:@0.582634:0.846662:0.591893:0.846662:0.591893:0.830256:0.582634:0.830256:0.000000
3:@0.586334:0.863054:0.595317:0.863054:0.595317:0.846621:0.586334:0.846621:0.000000
 .  :@0.600889:0.855751:0.615964:0.855751:0.615964:0.839317:0.600889:0.839317:0.000000:0.000000:0.000000:0.000000
Espesor de la viga::@0.615864:0.855751:0.754655:0.855751:0.754655:0.839081:0.615864:0.839081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2  = 2  :@0.754489:0.855751:0.815638:0.855751:0.815638:0.839317:0.754489:0.839317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.767337:0.855751:0.774811:0.855751:0.774811:0.839345:0.767337:0.839345:0.000000
b:@0.802422:0.855751:0.811680:0.855751:0.811680:0.839345:0.802422:0.839345:0.000000
2:@0.829957:0.846392:0.838940:0.846392:0.838940:0.829959:0.829957:0.829959:0.000000
3:@0.829957:0.862785:0.838940:0.862785:0.838940:0.846351:0.829957:0.846351:0.000000
.:@0.843749:0.855751:0.846952:0.855751:0.846952:0.839317:0.843749:0.839317:0.000000
Recomendación:@0.362440:0.886687:0.489630:0.886687:0.489630:0.869740:0.362440:0.869740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consulta más información sobre el uso de derivadas en el cálculo de resistencia :@0.362440:0.906907:0.930861:0.906907:0.930861:0.890473:0.362440:0.890473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de vigas de acero y de madera en estructuras.:@0.362440:0.923549:0.693435:0.923549:0.693435:0.907115:0.362440:0.907115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adaptado de: :@0.417051:0.943678:0.496184:0.943678:0.496184:0.930255:0.417051:0.930255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
http://es.slideshare.net/michaelpradomacias/proyecto-clculo-i-definitivo:@0.496193:0.943678:0.927242:0.943678:0.927242:0.930232:0.496193:0.930232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recursos:@0.104804:0.298916:0.175337:0.298916:0.175337:0.281969:0.104804:0.281969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Diseños de la sección :@0.104804:0.326280:0.283428:0.326280:0.283428:0.309846:0.104804:0.309846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transversal de un tronco :@0.123778:0.342921:0.303236:0.342921:0.303236:0.326488:0.123778:0.326488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de madera.:@0.123778:0.359563:0.205451:0.359563:0.205451:0.343129:0.123778:0.343129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.259008:0.894792:0.265541:0.894792:0.265541:0.882840:0.259008:0.882840:0.000000
y:@0.265487:0.894792:0.270922:0.894792:0.270922:0.882861:0.265487:0.882861:0.000000
2:@0.185687:0.708595:0.192219:0.708595:0.192219:0.696643:0.185687:0.696643:0.000000
y:@0.192166:0.708595:0.197601:0.708595:0.197601:0.696664:0.192166:0.696664:0.000000
b:@0.227508:0.699488:0.234242:0.699488:0.234242:0.687556:0.227508:0.687556:0.000000
2:@0.137600:0.741112:0.144133:0.741112:0.144133:0.729161:0.137600:0.729161:0.000000
x:@0.144079:0.741112:0.149501:0.741112:0.149501:0.729181:0.144079:0.729181:0.000000
barra:@0.131402:0.682352:0.158720:0.682352:0.158720:0.670400:0.131402:0.670400:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.121000:0.863778:0.127533:0.863778:0.127533:0.851826:0.121000:0.851826:0.000000
x:@0.127479:0.863778:0.132901:0.863778:0.132901:0.851846:0.127479:0.851846:0.000000
k:@0.257656:0.817947:0.263158:0.817947:0.263158:0.806016:0.257656:0.806016:0.000000
I:@0.208071:0.561886:0.210856:0.561886:0.210856:0.549955:0.208071:0.549955:0.000000
F:@0.213654:0.610148:0.219504:0.610148:0.219504:0.598216:0.213654:0.598216:0.000000
x:@0.312277:0.577267:0.317698:0.577267:0.317698:0.565336:0.312277:0.565336:0.000000
x:@0.312277:0.616391:0.317698:0.616391:0.317698:0.604459:0.312277:0.604459:0.000000
x:@0.253571:0.742118:0.259027:0.742118:0.259027:0.730112:0.253571:0.730112:0.000000
2:@0.258978:0.737680:0.262810:0.737680:0.262810:0.730668:0.258978:0.730668:0.000000
a:@0.252911:0.753591:0.259687:0.753591:0.259687:0.741584:0.252911:0.741584:0.000000
2:@0.259638:0.749153:0.263471:0.749153:0.263471:0.742141:0.259638:0.742141:0.000000
y:@0.280745:0.742118:0.286214:0.742118:0.286214:0.730112:0.280745:0.730112:0.000000
2:@0.286167:0.737680:0.289999:0.737680:0.289999:0.730668:0.286167:0.730668:0.000000
b:@0.280092:0.753591:0.286868:0.753591:0.286868:0.741584:0.280092:0.741584:0.000000
2:@0.286819:0.749153:0.290652:0.749153:0.290652:0.742141:0.286819:0.742141:0.000000
      +       = 1:@0.250554:0.747393:0.313624:0.747393:0.313624:0.735366:0.250554:0.735366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proyecto interdisciplinario:@0.142998:0.096074:0.495073:0.096074:0.495073:0.067957:0.142998:0.067957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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