84:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Ecuación cartesiana de la parábola:@0.404235:0.116974:0.834034:0.116974:0.834034:0.072315:0.404235:0.072315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.16. Describir  la parábola  como lugares geométricos en el plano.  :@0.143916:0.936433:0.450634:0.936433:0.450634:0.926391:0.143916:0.926391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la parábola con centro en el origen y con centro fuera del origen para resolver y plantear problemas, identificando :@0.143916:0.945234:0.894313:0.945234:0.894313:0.935192:0.143916:0.935192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la validez y pertinencia de los resultados obtenidos.:@0.143916:0.954035:0.364679:0.954035:0.364679:0.943993:0.143916:0.943993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La parábola:@0.404236:0.132968:0.498316:0.132968:0.498316:0.115286:0.404236:0.115286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En esta sección, estudiaremos a la parábola. En primer lugar, obtene-:@0.404236:0.149676:0.891701:0.149676:0.891701:0.133178:0.404236:0.133178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos la ecuación de esta curva cuando el foco está localizado en el eje :@0.404236:0.167027:0.895864:0.167027:0.895864:0.150529:0.404236:0.150529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.404236:0.184493:0.411711:0.184493:0.411711:0.168024:0.404236:0.168024:0.000000
. A continuación, obtenemos la ecuación canónica de la parábola :@0.411711:0.184378:0.895938:0.184378:0.895938:0.167880:0.411711:0.167880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando el foco está localizado en el eje  .:@0.404236:0.201728:0.694502:0.201728:0.694502:0.185231:0.404236:0.185231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.684060:0.201844:0.691747:0.201844:0.691747:0.185375:0.684060:0.185375:0.000000
Sean   una recta en el plano y :@0.404236:0.236430:0.635494:0.236430:0.635494:0.219932:0.404236:0.219932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.444346:0.236545:0.452187:0.236545:0.452187:0.220077:0.444346:0.220077:0.000000
u:@0.404236:0.253896:0.413445:0.253896:0.413445:0.237427:0.404236:0.237427:0.000000
:@0.406702:0.254272:0.413117:0.254272:0.413117:0.238454:0.406702:0.238454:0.000000
 = ( ,  )   :@0.413117:0.253781:0.508829:0.253781:0.508829:0.237283:0.413117:0.237283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.446485:0.253896:0.475787:0.253896:0.475787:0.237427:0.446485:0.237427:0.000000:0.000000:0.000000
:@0.490034:0.253262:0.504686:0.253262:0.504686:0.239889:0.490034:0.239889:0.000000
:@0.512988:0.252694:0.526292:0.252694:0.526292:0.239831:0.512988:0.239831:0.000000
2:@0.526292:0.247428:0.531246:0.247428:0.531246:0.237809:0.526292:0.237809:0.000000
. Recordemos :@0.531246:0.253781:0.635527:0.253781:0.635527:0.237283:0.531246:0.237283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la distancia del punto   a la :@0.404230:0.271131:0.635510:0.271131:0.635510:0.254634:0.404230:0.254634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.593895:0.271247:0.603104:0.271247:0.603104:0.254778:0.593895:0.254778:0.000000
:@0.596401:0.271623:0.602817:0.271623:0.602817:0.255805:0.596401:0.255805:0.000000
recta   se define como el núme-:@0.404230:0.288482:0.631325:0.288482:0.631325:0.271984:0.404230:0.271984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.443917:0.288598:0.451758:0.288598:0.451758:0.272129:0.443917:0.272129:0.000000
ro real no negativo:@0.404230:0.305833:0.537141:0.305833:0.537141:0.289335:0.404230:0.289335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d u L:@0.456304:0.323299:0.495047:0.323299:0.495047:0.306830:0.456304:0.306830:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = ||  –  ||,:@0.465475:0.323184:0.579305:0.323184:0.579305:0.306686:0.465475:0.306686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.473893:0.323675:0.480309:0.323675:0.480309:0.307857:0.473893:0.307857:0.000000
u x:@0.530110:0.323299:0.565249:0.323299:0.565249:0.306830:0.530110:0.306830:0.000000:0.000000:0.000000
:@0.532575:0.323675:0.538991:0.323675:0.538991:0.307857:0.532575:0.307857:0.000000
�:@0.558514:0.329629:0.565656:0.329629:0.565656:0.311493:0.558514:0.311493:0.000000
donde       y el vector   –   :@0.404241:0.340534:0.635526:0.340534:0.635526:0.324037:0.404241:0.324037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.457413:0.340650:0.464888:0.340650:0.464888:0.324181:0.457413:0.324181:0.000000
�:@0.458147:0.346980:0.465289:0.346980:0.465289:0.328844:0.458147:0.328844:0.000000
:@0.472452:0.340016:0.487104:0.340016:0.487104:0.326642:0.472452:0.326642:0.000000
L:@0.493384:0.340650:0.501225:0.340650:0.501225:0.324181:0.493384:0.324181:0.000000
u:@0.591519:0.340650:0.600728:0.340650:0.600728:0.324181:0.591519:0.324181:0.000000
:@0.594006:0.341026:0.600422:0.341026:0.600422:0.325208:0.594006:0.325208:0.000000
x:@0.623482:0.340650:0.630957:0.340650:0.630957:0.324181:0.623482:0.324181:0.000000
�:@0.624245:0.346980:0.631387:0.346980:0.631387:0.328844:0.624245:0.328844:0.000000
es perpendicular a  . En la Figura :@0.404246:0.357885:0.635485:0.357885:0.635485:0.341387:0.404246:0.341387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.536924:0.358001:0.544765:0.358001:0.544765:0.341532:0.536924:0.341532:0.000000
2.20. se muestran el punto  , la :@0.404246:0.375236:0.635533:0.375236:0.635533:0.358738:0.404246:0.358738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.603359:0.375021:0.611766:0.375021:0.611766:0.359985:0.603359:0.359985:0.000000
:@0.605170:0.375364:0.611027:0.375364:0.611027:0.360922:0.605170:0.360922:0.000000
recta   y      .:@0.404235:0.392587:0.510476:0.392587:0.510476:0.376089:0.404235:0.376089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L x:@0.444248:0.392702:0.475670:0.392702:0.475670:0.376233:0.444248:0.376233:0.000000:0.000000:0.000000
�:@0.468927:0.399032:0.476069:0.399032:0.476069:0.380896:0.468927:0.380896:0.000000
:@0.481086:0.392068:0.495739:0.392068:0.495739:0.378695:0.481086:0.378695:0.000000
L:@0.499880:0.392702:0.507721:0.392702:0.507721:0.376233:0.499880:0.376233:0.000000
En el caso en que la recta   sea paralela al eje  , y su ecuación cartesia-:@0.404228:0.425784:0.891866:0.425784:0.891866:0.409287:0.404228:0.409287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.583183:0.425900:0.591024:0.425900:0.591024:0.409431:0.583183:0.409431:0.000000
Y:@0.717498:0.425900:0.727632:0.425900:0.727632:0.409431:0.717498:0.409431:0.000000
na sea   =   con      , se tiene::@0.404228:0.443135:0.623118:0.443130:0.623118:0.426632:0.404228:0.426637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.452237:0.443251:0.485990:0.443251:0.485990:0.426782:0.452237:0.426782:0.000000:0.000000:0.000000
c:@0.521226:0.443251:0.528412:0.443251:0.528412:0.426782:0.521226:0.426782:0.000000
:@0.532560:0.442611:0.547212:0.442611:0.547212:0.429238:0.532560:0.429238:0.000000
L:@0.551355:0.443246:0.559196:0.443246:0.559196:0.426777:0.551355:0.426777:0.000000
d u L:@0.554476:0.467725:0.593218:0.467725:0.593218:0.451256:0.554476:0.451256:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = ||  –  || = |  –  |.:@0.563646:0.467609:0.741527:0.467608:0.741527:0.451111:0.563646:0.451111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.572065:0.468101:0.578480:0.468101:0.578480:0.452283:0.572065:0.452283:0.000000
u x:@0.628281:0.467725:0.663421:0.467725:0.663421:0.451256:0.628281:0.451256:0.000000:0.000000:0.000000
:@0.630747:0.468101:0.637162:0.468101:0.637162:0.452283:0.630747:0.452283:0.000000
�:@0.656681:0.474054:0.663823:0.474054:0.663823:0.455918:0.656681:0.455918:0.000000
a c:@0.698816:0.467724:0.733763:0.467724:0.733763:0.451255:0.698816:0.451255:0.000000:0.000000:0.000000
En la Figura 2.21. se muestran el punto  , y la recta   paralela al eje  ,:@0.404231:0.500040:0.886398:0.500040:0.886398:0.483542:0.404231:0.483542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.679433:0.500156:0.688642:0.500156:0.688642:0.483687:0.679433:0.483687:0.000000
:@0.681901:0.500532:0.688317:0.500532:0.688317:0.484713:0.681901:0.484713:0.000000
L:@0.762987:0.500156:0.770828:0.500156:0.770828:0.483687:0.762987:0.483687:0.000000
Y:@0.873510:0.500156:0.883643:0.500156:0.883643:0.483687:0.873510:0.483687:0.000000
x:@0.584727:0.524635:0.592202:0.524635:0.592202:0.508166:0.584727:0.508166:0.000000
�:@0.585454:0.530971:0.592595:0.530971:0.592595:0.512835:0.585454:0.512835:0.000000
     y   –     :@0.593471:0.524525:0.700401:0.524525:0.700401:0.508028:0.593471:0.508028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.597612:0.524007:0.612265:0.524007:0.612265:0.510633:0.597612:0.510633:0.000000
L u x:@0.616406:0.524641:0.675493:0.524641:0.675493:0.508172:0.616406:0.508172:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.642819:0.525017:0.649234:0.525017:0.649234:0.509199:0.642819:0.509199:0.000000
�:@0.668750:0.530971:0.675891:0.530971:0.675891:0.512835:0.668750:0.512835:0.000000
:@0.680909:0.523438:0.696259:0.523438:0.696259:0.510576:0.680909:0.510576:0.000000
L.:@0.700401:0.524641:0.711286:0.524641:0.711286:0.508172:0.700401:0.508172:0.000000:0.000000
En el caso en que la recta   sea perpendicular al eje   y su ecuación :@0.404236:0.556957:0.895959:0.556957:0.895959:0.540459:0.404236:0.540459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.592899:0.557072:0.600740:0.557072:0.600740:0.540604:0.592899:0.540604:0.000000
Y:@0.778845:0.557072:0.788979:0.557072:0.788979:0.540604:0.778845:0.540604:0.000000
cartesiana sea   =   con      , se tiene: :@0.404236:0.574307:0.686491:0.574314:0.686491:0.557817:0.404236:0.557810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y c:@0.505803:0.574423:0.539767:0.574423:0.539767:0.557954:0.505803:0.557954:0.000000:0.000000:0.000000
c:@0.575003:0.574423:0.582189:0.574423:0.582189:0.557954:0.575003:0.557954:0.000000
:@0.586328:0.573796:0.600981:0.573796:0.600981:0.560422:0.586328:0.560422:0.000000
:@0.605123:0.573227:0.618427:0.573227:0.618427:0.560365:0.605123:0.560365:0.000000
d u L:@0.554332:0.598909:0.593074:0.598909:0.593074:0.582440:0.554332:0.582440:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = ||  –  || = |  –  |.:@0.563502:0.598793:0.741672:0.598794:0.741672:0.582296:0.563502:0.582296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.571921:0.599285:0.578336:0.599285:0.578336:0.583467:0.571921:0.583467:0.000000
u x:@0.628137:0.598909:0.663277:0.598909:0.663277:0.582440:0.628137:0.582440:0.000000:0.000000:0.000000
:@0.630603:0.599285:0.637018:0.599285:0.637018:0.583467:0.630603:0.583467:0.000000
�:@0.656536:0.605239:0.663677:0.605239:0.663677:0.587104:0.656536:0.587104:0.000000
b c:@0.698672:0.598910:0.733908:0.598910:0.733908:0.582441:0.698672:0.582441:0.000000:0.000000:0.000000
En la Figura 2.22. se muestran el punto  , y la recta   paralela al eje  ,   :@0.404241:0.631225:0.893153:0.631225:0.893153:0.614728:0.404241:0.614728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.679443:0.631341:0.688652:0.631341:0.688652:0.614872:0.679443:0.614872:0.000000
:@0.681911:0.631717:0.688327:0.631717:0.688327:0.615899:0.681911:0.615899:0.000000
L:@0.762999:0.631341:0.770840:0.631341:0.770840:0.614872:0.762999:0.614872:0.000000
X:@0.873522:0.631341:0.883482:0.631341:0.883482:0.614872:0.873522:0.614872:0.000000
x:@0.584737:0.655820:0.592212:0.655820:0.592212:0.639351:0.584737:0.639351:0.000000
�:@0.585454:0.662156:0.592595:0.662156:0.592595:0.644021:0.585454:0.644021:0.000000
     y   –     :@0.593471:0.655711:0.700401:0.655711:0.700401:0.639213:0.593471:0.639213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.597612:0.655192:0.612265:0.655192:0.612265:0.641819:0.597612:0.641819:0.000000
L u x:@0.616406:0.655826:0.675493:0.655826:0.675493:0.639358:0.616406:0.639358:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.642819:0.656202:0.649234:0.656202:0.649234:0.640384:0.642819:0.640384:0.000000
�:@0.668750:0.662156:0.675891:0.662156:0.675891:0.644021:0.668750:0.644021:0.000000
:@0.680909:0.654624:0.696259:0.654624:0.696259:0.641762:0.680909:0.641762:0.000000
L.:@0.700401:0.655826:0.711286:0.655826:0.711286:0.639358:0.700401:0.639358:0.000000:0.000000
Definición:@0.404236:0.688605:0.482779:0.688605:0.482779:0.671659:0.404236:0.671659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean   una recta paralela al eje   de ecuación cartesiana :@0.482588:0.688142:0.895924:0.688142:0.895924:0.671645:0.482588:0.671645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.529287:0.688258:0.537128:0.688258:0.537128:0.671789:0.529287:0.671789:0.000000
Y:@0.715559:0.688258:0.725692:0.688258:0.725692:0.671789:0.715559:0.671789:0.000000
x:@0.404255:0.705609:0.411730:0.705609:0.411730:0.689140:0.404255:0.689140:0.000000
 = –  con     :@0.411538:0.705493:0.509383:0.705500:0.509383:0.689002:0.411538:0.688995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.439646:0.705609:0.446832:0.705609:0.446832:0.689140:0.439646:0.689140:0.000000
c:@0.480199:0.705609:0.487385:0.705609:0.487385:0.689140:0.480199:0.689140:0.000000
:@0.490766:0.704981:0.505418:0.704981:0.505418:0.691608:0.490766:0.691608:0.000000
:@0.508835:0.704413:0.522140:0.704413:0.522140:0.691551:0.508835:0.691551:0.000000
+:@0.521955:0.698720:0.529474:0.698720:0.529474:0.687243:0.521955:0.687243:0.000000
, y   = ( , 0). Se le llama parábola de directriz a la recta :@0.529338:0.705500:0.895911:0.705500:0.895911:0.689002:0.529338:0.689002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.546715:0.705616:0.554267:0.705616:0.554267:0.689147:0.546715:0.689147:0.000000
:@0.548777:0.703476:0.555192:0.703476:0.555192:0.687658:0.548777:0.687658:0.000000
c:@0.577116:0.705616:0.584302:0.705616:0.584302:0.689147:0.577116:0.689147:0.000000
L:@0.404229:0.722966:0.412070:0.722966:0.412070:0.706498:0.404229:0.706498:0.000000
 y foco   en el eje  , al conjunto de puntos denotado y definido como::@0.411878:0.722851:0.891808:0.722851:0.891808:0.706353:0.411878:0.706353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.461698:0.722966:0.469250:0.722966:0.469250:0.706498:0.461698:0.706498:0.000000
:@0.463740:0.720826:0.470155:0.720826:0.470155:0.705008:0.463740:0.705008:0.000000
x:@0.531342:0.722966:0.538817:0.722966:0.538817:0.706498:0.531342:0.706498:0.000000
������:@0.517223:0.758480:0.530638:0.758480:0.530638:0.739481:0.517223:0.739481:0.000000:0.000000
(0,  ) = {      |  ( ,  ) = ||  –  ||}.:@0.530630:0.750893:0.778788:0.750893:0.778788:0.734396:0.530630:0.734396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.537854:0.748869:0.544269:0.748869:0.544269:0.733051:0.537854:0.733051:0.000000
c:@0.551070:0.751009:0.558256:0.751009:0.558256:0.734540:0.551070:0.734540:0.000000
x:@0.589158:0.751009:0.596632:0.751009:0.596632:0.734540:0.589158:0.734540:0.000000
:@0.590853:0.751385:0.597268:0.751385:0.597268:0.735567:0.590853:0.735567:0.000000
:@0.601407:0.750375:0.616059:0.750375:0.616059:0.737002:0.601407:0.737002:0.000000
:@0.620201:0.749807:0.633506:0.749807:0.633506:0.736944:0.620201:0.736944:0.000000
2:@0.633506:0.744540:0.638459:0.744540:0.638459:0.734922:0.633506:0.734922:0.000000
d x L:@0.651753:0.751009:0.689725:0.751009:0.689725:0.734540:0.651753:0.734540:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.668571:0.751385:0.674987:0.751385:0.674987:0.735567:0.668571:0.735567:0.000000
x:@0.724787:0.751009:0.732262:0.751009:0.732262:0.734540:0.724787:0.734540:0.000000
:@0.726483:0.751385:0.732898:0.751385:0.732898:0.735567:0.726483:0.735567:0.000000
F:@0.751682:0.751009:0.759234:0.751009:0.759234:0.734540:0.751682:0.734540:0.000000
:@0.753839:0.748869:0.760255:0.748869:0.760255:0.733051:0.753839:0.733051:0.000000
Notemos que  ( ,  ) es la distancia del punto   a la recta fija   y que :@0.404233:0.783325:0.895936:0.783325:0.895936:0.766827:0.404233:0.766827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d x L:@0.507244:0.783441:0.545621:0.783441:0.545621:0.766972:0.507244:0.766972:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.524063:0.783817:0.530478:0.783817:0.530478:0.767998:0.524063:0.767998:0.000000
x:@0.733243:0.783441:0.740718:0.783441:0.740718:0.766972:0.733243:0.766972:0.000000
:@0.734921:0.783817:0.741336:0.783817:0.741336:0.767998:0.734921:0.767998:0.000000
L:@0.840030:0.783441:0.847871:0.783441:0.847871:0.766972:0.840030:0.766972:0.000000
||  –  || es la distancia del punto   al punto fijo  , llamada foco. Lue-:@0.404252:0.800676:0.891777:0.800676:0.891777:0.784178:0.404252:0.784178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.414270:0.800791:0.421745:0.800791:0.421745:0.784323:0.414270:0.784323:0.000000
:@0.415965:0.801167:0.422381:0.801167:0.422381:0.785349:0.415965:0.785349:0.000000
F:@0.441858:0.800791:0.449410:0.800791:0.449410:0.784323:0.441858:0.784323:0.000000
:@0.444016:0.798651:0.450431:0.798651:0.450431:0.782833:0.444016:0.782833:0.000000
x:@0.641675:0.800791:0.649150:0.800791:0.649150:0.784323:0.641675:0.784323:0.000000
:@0.643392:0.801167:0.649807:0.801167:0.649807:0.785349:0.643392:0.785349:0.000000
F:@0.746056:0.800791:0.753608:0.800791:0.753608:0.784323:0.746056:0.784323:0.000000
:@0.748233:0.798651:0.754649:0.798651:0.754649:0.782833:0.748233:0.782833:0.000000
go, la parábola de directriz de recta   y foco   es el conjunto  (0,  ), :@0.404252:0.818026:0.895913:0.818033:0.895913:0.801536:0.404252:0.801529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.660840:0.818142:0.668681:0.818142:0.668681:0.801673:0.660840:0.801673:0.000000
F:@0.722470:0.818142:0.730022:0.818142:0.730022:0.801673:0.722470:0.801673:0.000000
:@0.724633:0.816002:0.731049:0.816002:0.731049:0.800184:0.724633:0.800184:0.000000
������:@0.841413:0.825620:0.854829:0.825620:0.854829:0.806621:0.841413:0.806621:0.000000:0.000000
:@0.862045:0.816009:0.868460:0.816009:0.868460:0.800191:0.862045:0.800191:0.000000
c:@0.875877:0.818149:0.883063:0.818149:0.883063:0.801680:0.875877:0.801680:0.000000
constituido por todos los puntos      , tal que la distancia  ( ,  ) es :@0.404245:0.835384:0.895901:0.835384:0.895901:0.818886:0.404245:0.818886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.640880:0.835500:0.648355:0.835500:0.648355:0.819031:0.640880:0.819031:0.000000
:@0.642594:0.835876:0.649010:0.835876:0.649010:0.820058:0.642594:0.820058:0.000000
:@0.652745:0.834865:0.667397:0.834865:0.667397:0.821492:0.652745:0.821492:0.000000
:@0.671139:0.834297:0.684443:0.834297:0.684443:0.821435:0.671139:0.821435:0.000000
2:@0.684443:0.829031:0.689397:0.829031:0.689397:0.819413:0.684443:0.819413:0.000000
d x L:@0.830111:0.835500:0.867697:0.835500:0.867697:0.819031:0.830111:0.819031:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.846948:0.835876:0.853364:0.835876:0.853364:0.820058:0.846948:0.820058:0.000000
igual a la distancia de   al foco  .:@0.404233:0.852735:0.633066:0.852735:0.633066:0.836237:0.404233:0.836237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.558006:0.852851:0.565481:0.852851:0.565481:0.836382:0.558006:0.836382:0.000000
:@0.559703:0.853226:0.566119:0.853226:0.566119:0.837408:0.559703:0.837408:0.000000
F:@0.621834:0.852851:0.629386:0.852851:0.629386:0.836382:0.621834:0.836382:0.000000
:@0.623992:0.850711:0.630407:0.850711:0.630407:0.834892:0.623992:0.834892:0.000000
De la definición del conjunto  (0,  ) es claro que  (0,  )   :@0.404233:0.885166:0.825186:0.885173:0.825186:0.868676:0.404233:0.868669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
������:@0.615342:0.892760:0.628757:0.892760:0.628757:0.873761:0.615342:0.873761:0.000000:0.000000
:@0.635973:0.883149:0.642388:0.883149:0.642388:0.867331:0.635973:0.867331:0.000000
c:@0.649189:0.885289:0.656375:0.885289:0.656375:0.868820:0.649189:0.868820:0.000000
������:@0.754567:0.892760:0.767983:0.892760:0.767983:0.873761:0.754567:0.873761:0.000000:0.000000
:@0.775199:0.883149:0.781614:0.883149:0.781614:0.867331:0.775199:0.867331:0.000000
c:@0.788415:0.885289:0.795601:0.885289:0.795601:0.868820:0.788415:0.868820:0.000000
:@0.805694:0.884805:0.821044:0.884805:0.821044:0.870795:0.805694:0.870795:0.000000
:@0.825185:0.884086:0.838490:0.884086:0.838490:0.871224:0.825185:0.871224:0.000000
2 :@0.838490:0.878821:0.845858:0.878821:0.845858:0.869203:0.838490:0.869203:0.000000:0.000000
y :@0.845858:0.885173:0.857822:0.885173:0.857822:0.868676:0.845858:0.868676:0.000000:0.000000
������:@0.404236:0.910110:0.417651:0.910110:0.417651:0.891111:0.404236:0.891111:0.000000:0.000000
(0,  ) ≠ Ø, pues si   = (0, 0),  ( ,  ) =  ,  y ||  –  || =  , donde :@0.417643:0.902524:0.845062:0.902524:0.845062:0.886026:0.417643:0.886026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.424868:0.900500:0.431283:0.900500:0.431283:0.884682:0.424868:0.884682:0.000000
c:@0.438084:0.902640:0.445269:0.902640:0.445269:0.886171:0.438084:0.886171:0.000000
x:@0.542347:0.902640:0.549822:0.902640:0.549822:0.886171:0.542347:0.886171:0.000000
:@0.544042:0.903016:0.550458:0.903016:0.550458:0.887197:0.544042:0.887197:0.000000
d x L:@0.612241:0.902640:0.650213:0.902640:0.650213:0.886171:0.612241:0.886171:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.629060:0.903016:0.635475:0.903016:0.635475:0.887197:0.629060:0.887197:0.000000
c:@0.675258:0.902640:0.682444:0.902640:0.682444:0.886171:0.675258:0.886171:0.000000
x:@0.715465:0.902640:0.722940:0.902640:0.722940:0.886171:0.715465:0.886171:0.000000
:@0.717160:0.903016:0.723575:0.903016:0.723575:0.887197:0.717160:0.887197:0.000000
F:@0.742359:0.902640:0.749911:0.902640:0.749911:0.886171:0.742359:0.886171:0.000000
:@0.744517:0.900500:0.750932:0.900500:0.750932:0.884682:0.744517:0.884682:0.000000
c:@0.779946:0.902640:0.787131:0.902640:0.787131:0.886171:0.779946:0.886171:0.000000
d x L:@0.404254:0.919990:0.442226:0.919990:0.442226:0.903522:0.404254:0.903522:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) = ||  –  || =  , entonces,   = (0, 0)    (0,  ).:@0.413424:0.919875:0.763362:0.919875:0.763362:0.903377:0.413424:0.903377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.421072:0.920366:0.427488:0.920366:0.427488:0.904548:0.421072:0.904548:0.000000
x:@0.477288:0.919990:0.484763:0.919990:0.484763:0.903522:0.477288:0.903522:0.000000
:@0.478984:0.920366:0.485399:0.920366:0.485399:0.904548:0.478984:0.904548:0.000000
F:@0.504183:0.919990:0.511735:0.919990:0.511735:0.903522:0.504183:0.903522:0.000000
:@0.506340:0.917850:0.512756:0.917850:0.512756:0.902032:0.506340:0.902032:0.000000
c:@0.541769:0.919990:0.548955:0.919990:0.548955:0.903522:0.541769:0.903522:0.000000
x:@0.627708:0.919990:0.635183:0.919990:0.635183:0.903522:0.627708:0.903522:0.000000
:@0.629407:0.920366:0.635822:0.920366:0.635822:0.904548:0.629407:0.904548:0.000000
:@0.694827:0.919356:0.709479:0.919356:0.709479:0.905983:0.694827:0.905983:0.000000
������:@0.713621:0.927461:0.727036:0.927461:0.727036:0.908462:0.713621:0.908462:0.000000:0.000000
:@0.734253:0.917850:0.740668:0.917850:0.740668:0.902032:0.734253:0.902032:0.000000
c:@0.747469:0.919990:0.754654:0.919990:0.754654:0.903522:0.747469:0.903522:0.000000
p:@0.664624:0.369618:0.676104:0.369618:0.676104:0.359593:0.664624:0.359593:0.000000
 :@0.676104:0.370325:0.678986:0.370325:0.678986:0.358849:0.676104:0.358849:0.000000
Figura 2.20.:@0.678986:0.370325:0.733464:0.370325:0.733464:0.358849:0.678986:0.358849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.143988:0.557159:0.155468:0.557159:0.155468:0.547135:0.143988:0.547135:0.000000
 :@0.155468:0.557867:0.158350:0.557867:0.158350:0.546390:0.155468:0.546390:0.000000
Figura 2.21.:@0.158350:0.557867:0.212828:0.557867:0.212828:0.546390:0.158350:0.546390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.143988:0.767054:0.155468:0.767054:0.155468:0.757030:0.143988:0.757030:0.000000
 :@0.155468:0.767762:0.158350:0.767762:0.158350:0.756285:0.155468:0.756285:0.000000
Figura 2.22.:@0.158350:0.767762:0.212828:0.767762:0.212828:0.756285:0.158350:0.756285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.208432:0.480615:0.214343:0.480615:0.214343:0.469138:0.208432:0.469138:0.000000
a:@0.301804:0.479438:0.308049:0.479438:0.308049:0.467981:0.301804:0.467981:0.000000
b:@0.207082:0.517593:0.213529:0.517593:0.213529:0.506137:0.207082:0.506137:0.000000
c:@0.163285:0.492165:0.168284:0.492165:0.168284:0.480709:0.163285:0.480709:0.000000
L:@0.161784:0.442214:0.168602:0.442214:0.168602:0.427893:0.161784:0.427893:0.000000
y:@0.201864:0.423486:0.208325:0.423486:0.208325:0.409857:0.201864:0.409857:0.000000
x:@0.355553:0.496203:0.362158:0.496203:0.362158:0.482575:0.355553:0.482575:0.000000
u:@0.243582:0.519259:0.250789:0.519259:0.250789:0.506370:0.243582:0.506370:0.000000
 :@0.245512:0.519553:0.254302:0.519553:0.254302:0.507174:0.245512:0.507174:0.000000:0.000000
– :@0.254302:0.519168:0.265761:0.519168:0.265761:0.506257:0.254302:0.506257:0.000000:0.000000
x:@0.265761:0.519515:0.272115:0.519515:0.272115:0.505517:0.265761:0.505517:0.000000
�:@0.266382:0.524460:0.272164:0.524460:0.272164:0.509779:0.266382:0.509779:0.000000
x:@0.159961:0.517001:0.166315:0.517001:0.166315:0.503002:0.159961:0.503002:0.000000
�:@0.160583:0.521945:0.166364:0.521945:0.166364:0.507264:0.160583:0.507264:0.000000
u:@0.308039:0.518500:0.315246:0.518500:0.315246:0.505611:0.308039:0.505611:0.000000
 :@0.309969:0.518794:0.318759:0.518794:0.318759:0.506414:0.309969:0.506414:0.000000:0.000000
= ( ,  ):@0.318759:0.518409:0.359452:0.518409:0.359452:0.505498:0.318759:0.505498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.335117:0.518500:0.354793:0.518500:0.354793:0.505611:0.335117:0.505611:0.000000:0.000000:0.000000
0:@0.717024:0.308989:0.722934:0.308989:0.722934:0.297513:0.717024:0.297513:0.000000
L:@0.860893:0.292935:0.867711:0.292935:0.867711:0.278614:0.860893:0.278614:0.000000
y:@0.710457:0.235516:0.716918:0.235516:0.716918:0.221887:0.710457:0.221887:0.000000
x:@0.883705:0.324573:0.890309:0.324573:0.890309:0.310944:0.883705:0.310944:0.000000
u:@0.813777:0.275465:0.820984:0.275465:0.820984:0.262576:0.813777:0.262576:0.000000
 :@0.815707:0.275759:0.824497:0.275759:0.824497:0.263379:0.815707:0.263379:0.000000:0.000000
– :@0.824497:0.275374:0.835956:0.275374:0.835956:0.262463:0.824497:0.262463:0.000000:0.000000
x:@0.835956:0.275721:0.842309:0.275721:0.842309:0.261722:0.835956:0.261722:0.000000
�:@0.836577:0.280666:0.842358:0.280666:0.842358:0.265984:0.836577:0.265984:0.000000
u:@0.774109:0.248347:0.781316:0.248347:0.781316:0.235459:0.774109:0.235459:0.000000
:@0.776039:0.248641:0.781060:0.248641:0.781060:0.236262:0.776039:0.236262:0.000000
x:@0.827499:0.309935:0.833853:0.309935:0.833853:0.295936:0.827499:0.295936:0.000000
�:@0.828120:0.314879:0.833902:0.314879:0.833902:0.300198:0.828120:0.300198:0.000000
u:@0.303132:0.691151:0.310339:0.691151:0.310339:0.678262:0.303132:0.678262:0.000000
 :@0.305062:0.691445:0.313852:0.691445:0.313852:0.679066:0.305062:0.679066:0.000000:0.000000
– :@0.313852:0.691060:0.325311:0.691060:0.325311:0.678149:0.313852:0.678149:0.000000:0.000000
x:@0.325311:0.691407:0.331664:0.691407:0.331664:0.677409:0.325311:0.677409:0.000000
�:@0.325932:0.696352:0.331713:0.696352:0.331713:0.681671:0.325932:0.681671:0.000000
u:@0.308625:0.743497:0.315832:0.743497:0.315832:0.730609:0.308625:0.730609:0.000000
 :@0.310555:0.743792:0.319345:0.743792:0.319345:0.731412:0.310555:0.731412:0.000000:0.000000
= ( ,  ):@0.319345:0.743407:0.360038:0.743407:0.360038:0.730496:0.319345:0.730496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.335704:0.743497:0.355379:0.743497:0.355379:0.730609:0.335704:0.730609:0.000000:0.000000:0.000000
L:@0.351342:0.665687:0.358160:0.665687:0.358160:0.651366:0.351342:0.651366:0.000000
0:@0.210989:0.702662:0.216899:0.702662:0.216899:0.691185:0.210989:0.691185:0.000000
c:@0.210265:0.677324:0.215264:0.677324:0.215264:0.665868:0.210265:0.665868:0.000000
b:@0.209541:0.737675:0.215988:0.737675:0.215988:0.726218:0.209541:0.726218:0.000000
a:@0.302832:0.714219:0.309078:0.714219:0.309078:0.702762:0.302832:0.702762:0.000000
y:@0.204420:0.630445:0.210882:0.630445:0.210882:0.616817:0.204420:0.616817:0.000000
x:@0.358109:0.718248:0.364714:0.718248:0.364714:0.704620:0.358109:0.704620:0.000000
x:@0.296942:0.665226:0.303296:0.665226:0.303296:0.651228:0.296942:0.651228:0.000000
�:@0.297565:0.670171:0.303347:0.670171:0.303347:0.655490:0.297565:0.655490:0.000000
u:@0.244824:0.727389:0.252031:0.727389:0.252031:0.714500:0.244824:0.714500:0.000000
:@0.246754:0.727683:0.251774:0.727683:0.251774:0.715304:0.246754:0.715304:0.000000
Saberes previos:@0.199644:0.097890:0.307803:0.097890:0.307803:0.082418:0.199644:0.082418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se genera una :@0.199880:0.126518:0.342498:0.126518:0.342498:0.111455:0.199880:0.111455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola?:@0.153337:0.142360:0.215340:0.142360:0.215340:0.127297:0.153337:0.127297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199247:0.189511:0.363095:0.189511:0.363095:0.174039:0.199247:0.174039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puede el foco de una :@0.199485:0.218139:0.344779:0.218139:0.344779:0.203075:0.199485:0.203075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola estar fuera de la mis-:@0.152942:0.233981:0.347417:0.233981:0.347417:0.218917:0.152942:0.218917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ma?, ¿por qué?:@0.152942:0.249823:0.247100:0.249823:0.247100:0.234759:0.152942:0.234759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000