﻿131:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial, métrico y variacional:@0.541231:0.043660:0.930030:0.043660:0.930030:0.024915:0.541231:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la definición de :@0.744288:0.182661:0.910248:0.182661:0.910248:0.168376:0.744288:0.168376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola equilátera::@0.744288:0.197789:0.880120:0.197789:0.880120:0.183505:0.744288:0.183505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el caso particular en :@0.744288:0.212918:0.894317:0.212918:0.894317:0.198634:0.744288:0.198634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que       de la relación  :@0.744288:0.228047:0.903561:0.228047:0.903561:0.213763:0.744288:0.213763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.772719:0.228047:0.781136:0.228047:0.781136:0.214015:0.772719:0.214015:0.000000
5:@0.784165:0.227543:0.798104:0.227543:0.798104:0.215074:0.784165:0.215074:0.000000
b:@0.801116:0.228047:0.809533:0.228047:0.809533:0.214015:0.801116:0.214015:0.000000
b:@0.744288:0.243176:0.752705:0.243176:0.752705:0.229144:0.744288:0.229144:0.000000
2:@0.752394:0.237664:0.757155:0.237664:0.757155:0.229336:0.752394:0.229336:0.000000
        , o bien,   :@0.756966:0.243176:0.880739:0.243176:0.880739:0.228892:0.756966:0.228892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.760312:0.242672:0.774252:0.242672:0.774252:0.230203:0.760312:0.230203:0.000000
c:@0.777264:0.243176:0.784225:0.243176:0.784225:0.229144:0.777264:0.229144:0.000000
2:@0.783901:0.237664:0.788661:0.237664:0.788661:0.229336:0.783901:0.229336:0.000000
2:@0.791819:0.242672:0.805758:0.242672:0.805758:0.230203:0.791819:0.230203:0.000000
a:@0.808770:0.243176:0.817188:0.243176:0.817188:0.229144:0.808770:0.229144:0.000000
2:@0.816863:0.237664:0.821624:0.237664:0.821624:0.229336:0.816863:0.229336:0.000000
c:@0.744291:0.258305:0.751253:0.258305:0.751253:0.244273:0.744291:0.244273:0.000000
2:@0.750938:0.252793:0.755699:0.252793:0.755699:0.244465:0.750938:0.244465:0.000000
        , se obtiene  :@0.755510:0.258305:0.901155:0.258305:0.901155:0.244021:0.755510:0.244021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.758857:0.257801:0.772796:0.257801:0.772796:0.245332:0.758857:0.245332:0.000000
a:@0.775808:0.258305:0.784225:0.258305:0.784225:0.244273:0.775808:0.244273:0.000000
2:@0.783901:0.252793:0.788661:0.252793:0.788661:0.244465:0.783901:0.244465:0.000000
1:@0.791819:0.257801:0.805758:0.257801:0.805758:0.245332:0.791819:0.245332:0.000000
b:@0.808770:0.258305:0.817188:0.258305:0.817188:0.244273:0.808770:0.244273:0.000000
2:@0.816863:0.252793:0.821624:0.252793:0.821624:0.244465:0.816863:0.244465:0.000000
c:@0.744291:0.273434:0.751253:0.273434:0.751253:0.259402:0.744291:0.259402:0.000000
       2 . Los focos  :@0.750935:0.273434:0.884973:0.273434:0.884973:0.259150:0.750935:0.259150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 6:@0.754282:0.272930:0.785172:0.272930:0.785172:0.260461:0.754282:0.260461:0.000000:0.000000:0.000000
a:@0.802693:0.273434:0.811110:0.273434:0.811110:0.259402:0.802693:0.259402:0.000000
F:@0.744275:0.288563:0.751587:0.288563:0.751587:0.274531:0.744275:0.274531:0.000000
:@0.746835:0.286748:0.752407:0.286748:0.752407:0.272955:0.746835:0.272955:0.000000
1:@0.751005:0.290817:0.755766:0.290817:0.755766:0.282489:0.751005:0.282489:0.000000
 y   de la hipérbola:@0.755722:0.288563:0.880386:0.288563:0.880386:0.274279:0.755722:0.274279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.770197:0.288563:0.777510:0.288563:0.777510:0.274531:0.770197:0.274531:0.000000
:@0.772757:0.286748:0.778330:0.286748:0.778330:0.272955:0.772757:0.272955:0.000000
2:@0.776912:0.290817:0.781673:0.290817:0.781673:0.282489:0.776912:0.282489:0.000000
son     (    2  , 0),    :@0.744280:0.303692:0.891759:0.303692:0.891759:0.289408:0.744280:0.289408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.770753:0.303692:0.778065:0.303692:0.778065:0.289660:0.770753:0.289660:0.000000
:@0.773313:0.301877:0.778885:0.301877:0.778885:0.288084:0.773313:0.288084:0.000000
1:@0.777485:0.305946:0.782246:0.305946:0.782246:0.297618:0.777485:0.297618:0.000000
5 2:@0.785550:0.303188:0.820541:0.303188:0.820541:0.290719:0.785550:0.290719:0.000000:0.000000:0.000000
a:@0.838061:0.303692:0.846478:0.303692:0.846478:0.289660:0.838061:0.289660:0.000000
F:@0.873303:0.303692:0.880616:0.303692:0.880616:0.289660:0.873303:0.289660:0.000000
:@0.875863:0.301877:0.881436:0.301877:0.881436:0.288084:0.875863:0.288084:0.000000
2:@0.880037:0.305946:0.884797:0.305946:0.884797:0.297618:0.880037:0.297618:0.000000
5:@0.744283:0.318317:0.758222:0.318317:0.758222:0.305848:0.744283:0.305848:0.000000
 (   2  , 0). :@0.757888:0.318821:0.819134:0.318821:0.819134:0.304537:0.757888:0.304537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.783206:0.318821:0.791623:0.318821:0.791623:0.304789:0.783206:0.304789:0.000000
A la hipérbola:@0.744283:0.333950:0.832581:0.333950:0.832581:0.319666:0.744283:0.319666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0,  ,  )    ( ,  )     |:@0.759877:0.351676:0.903723:0.351676:0.903723:0.337392:0.759877:0.337392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.766057:0.349866:0.771630:0.349866:0.771630:0.336073:0.766057:0.336073:0.000000
a b:@0.777888:0.351681:0.801081:0.351681:0.801081:0.337649:0.777888:0.337649:0.000000:0.000000:0.000000
5:@0.808963:0.351177:0.822902:0.351177:0.822902:0.338708:0.808963:0.338708:0.000000
x y:@0.834582:0.351676:0.854512:0.351676:0.854512:0.337644:0.834582:0.337644:0.000000:0.000000:0.000000
[:@0.862416:0.351550:0.876355:0.351550:0.876355:0.338779:0.862416:0.338779:0.000000
R:@0.879863:0.350894:0.891944:0.350894:0.891944:0.339169:0.879863:0.339169:0.000000
2:@0.891861:0.346163:0.896622:0.346163:0.896622:0.337836:0.891861:0.337836:0.000000
x:@0.750838:0.364283:0.757953:0.364283:0.757953:0.349550:0.750838:0.349550:0.000000
a:@0.749977:0.379241:0.758814:0.379241:0.758814:0.364508:0.749977:0.364508:0.000000
2:@0.766449:0.358980:0.771447:0.358980:0.771447:0.350236:0.766449:0.350236:0.000000
   :@0.773403:0.369745:0.796530:0.369745:0.796530:0.355461:0.773403:0.355461:0.000000:0.000000:0.000000
2:@0.779009:0.369241:0.792949:0.369241:0.792949:0.356772:0.779009:0.356772:0.000000
y:@0.802992:0.364283:0.810125:0.364283:0.810125:0.349550:0.802992:0.349550:0.000000
b:@0.802131:0.379241:0.810969:0.379241:0.810969:0.364508:0.802131:0.364508:0.000000
2:@0.818262:0.358980:0.823260:0.358980:0.823260:0.350236:0.818262:0.350236:0.000000
   1  :@0.823208:0.369745:0.859866:0.369745:0.859866:0.355461:0.823208:0.355461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.826806:0.369241:0.840745:0.369241:0.840745:0.356772:0.826806:0.356772:0.000000
se la denomina:@0.744288:0.392022:0.845110:0.392022:0.845110:0.377738:0.744288:0.377738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola equilátera. :@0.744288:0.407151:0.883785:0.407151:0.883785:0.392867:0.744288:0.392867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las asíntotas de esta :@0.744288:0.422280:0.882570:0.422280:0.882570:0.407996:0.744288:0.407996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipérbola están definidas :@0.744288:0.437409:0.914446:0.437409:0.914446:0.423125:0.744288:0.423125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.744288:0.452538:0.785905:0.452538:0.785905:0.438254:0.744288:0.438254:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.744288:0.467667:0.752421:0.467667:0.752421:0.453635:0.744288:0.453635:0.000000
1:@0.752110:0.470551:0.756870:0.470551:0.756870:0.462223:0.752110:0.462223:0.000000
   {( ,  )     |      },:@0.756681:0.467667:0.897851:0.467667:0.897851:0.453383:0.756681:0.453383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.760028:0.467163:0.773967:0.467163:0.773967:0.454694:0.760028:0.454694:0.000000
x y:@0.785196:0.467667:0.804373:0.467667:0.804373:0.453635:0.785196:0.453635:0.000000:0.000000:0.000000
[:@0.811513:0.467541:0.825452:0.467541:0.825452:0.454770:0.811513:0.454770:0.000000
R:@0.828960:0.466885:0.841042:0.466885:0.841042:0.455160:0.828960:0.455160:0.000000
2:@0.840958:0.462154:0.845719:0.462154:0.845719:0.453827:0.840958:0.453827:0.000000
y:@0.856335:0.467667:0.863129:0.467667:0.863129:0.453635:0.856335:0.453635:0.000000
5:@0.866660:0.467163:0.880599:0.467163:0.880599:0.454694:0.866660:0.454694:0.000000
x:@0.884113:0.467667:0.890890:0.467667:0.890890:0.453635:0.884113:0.453635:0.000000
R:@0.744285:0.482796:0.752417:0.482796:0.752417:0.468764:0.744285:0.468764:0.000000
2:@0.752110:0.485680:0.756870:0.485680:0.756870:0.477352:0.752110:0.477352:0.000000
   {( ,  )     |     :@0.756681:0.482796:0.884180:0.482796:0.884180:0.468512:0.756681:0.468512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.760028:0.482292:0.773967:0.482292:0.773967:0.469823:0.760028:0.469823:0.000000
x y:@0.785196:0.482796:0.804373:0.482796:0.804373:0.468764:0.785196:0.468764:0.000000:0.000000:0.000000
[:@0.811513:0.482670:0.825452:0.482670:0.825452:0.469899:0.811513:0.469899:0.000000
R:@0.828960:0.482014:0.841042:0.482014:0.841042:0.470289:0.828960:0.470289:0.000000
2:@0.840958:0.477283:0.845719:0.477283:0.845719:0.468956:0.840958:0.468956:0.000000
y:@0.856335:0.482796:0.863129:0.482796:0.863129:0.468764:0.856335:0.468764:0.000000
5 2:@0.866660:0.482292:0.898052:0.482292:0.898052:0.469823:0.866660:0.469823:0.000000:0.000000:0.000000
x:@0.897969:0.482796:0.904746:0.482796:0.904746:0.468764:0.897969:0.468764:0.000000
}.:@0.904679:0.482796:0.911707:0.482796:0.911707:0.468512:0.904679:0.468512:0.000000:0.000000
Competencia :@0.740294:0.145303:0.845924:0.145303:0.845924:0.128634:0.740294:0.128634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161945:0.834543:0.161945:0.834543:0.145276:0.740294:0.145276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.3 Asíntotas de la hipérbola:@0.073089:0.136836:0.287478:0.136836:0.287478:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la ecuación cartesiana de la hipérbola:@0.073089:0.167774:0.370557:0.167774:0.370557:0.152061:0.073089:0.152061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    , tal que :@0.073089:0.201057:0.206647:0.201062:0.206647:0.185350:0.073089:0.185345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.077893:0.201057:0.099816:0.201057:0.099816:0.185622:0.077893:0.185622:0.000000:0.000000:0.000000
[:@0.108502:0.200772:0.123138:0.200772:0.123138:0.187362:0.108502:0.187362:0.000000
R:@0.127008:0.200203:0.140298:0.200203:0.140298:0.187305:0.127008:0.187305:0.000000
2:@0.140199:0.194999:0.145436:0.194999:0.145436:0.185838:0.140199:0.185838:0.000000
x:@0.213989:0.194138:0.221443:0.194138:0.221443:0.178703:0.213989:0.178703:0.000000
b:@0.213031:0.210073:0.222290:0.210073:0.222290:0.194638:0.213031:0.194638:0.000000
1 2:@0.206570:0.208025:0.228940:0.208025:0.228940:0.180173:0.206570:0.180173:0.000000:0.000000:0.000000
:@0.228954:0.196303:0.234697:0.196303:0.234697:0.178375:0.228954:0.178375:0.000000
   :@0.235016:0.201062:0.258240:0.201062:0.258240:0.185350:0.235016:0.185350:0.000000:0.000000:0.000000
2:@0.238967:0.200508:0.254300:0.200508:0.254300:0.186792:0.238967:0.186792:0.000000
y:@0.265646:0.193183:0.273119:0.193183:0.273119:0.177747:0.265646:0.177747:0.000000
a:@0.264744:0.211170:0.274003:0.211170:0.274003:0.195734:0.264744:0.195734:0.000000
1 2:@0.258226:0.208785:0.280596:0.208785:0.280596:0.180933:0.258226:0.180933:0.000000:0.000000:0.000000
:@0.280609:0.197063:0.286352:0.197063:0.286352:0.179922:0.280609:0.179922:0.000000
   1,:@0.286674:0.201062:0.321934:0.201062:0.321934:0.185350:0.286674:0.185350:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.290623:0.200508:0.305956:0.200508:0.305956:0.186792:0.290623:0.186792:0.000000
se obtiene     :@0.073086:0.236301:0.189092:0.236306:0.189092:0.220594:0.073086:0.220589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.153268:0.236301:0.160741:0.236301:0.160741:0.220866:0.153268:0.220866:0.000000
2:@0.160673:0.230243:0.165910:0.230243:0.165910:0.221082:0.160673:0.221082:0.000000
5:@0.169819:0.235752:0.185153:0.235752:0.185153:0.222036:0.169819:0.222036:0.000000
b:@0.192663:0.228806:0.201922:0.228806:0.201922:0.213371:0.192663:0.213371:0.000000
:@0.201920:0.229121:0.207663:0.229121:0.207663:0.211194:0.201920:0.211194:0.000000
a:@0.191706:0.243502:0.200965:0.243502:0.200965:0.228066:0.191706:0.228066:0.000000
:@0.200965:0.243817:0.206708:0.243817:0.206708:0.225889:0.200965:0.225889:0.000000
    1   :@0.208309:0.236306:0.265853:0.236306:0.265853:0.220594:0.208309:0.220594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.212267:0.236306:0.219722:0.236306:0.219722:0.220871:0.212267:0.220871:0.000000
2:@0.219648:0.230243:0.224885:0.230243:0.224885:0.221082:0.219648:0.221082:0.000000
1:@0.229009:0.240203:0.233095:0.240203:0.233095:0.216921:0.229009:0.216921:0.000000
2:@0.246581:0.235752:0.261914:0.235752:0.261914:0.222036:0.246581:0.222036:0.000000
a:@0.269431:0.229872:0.278690:0.229872:0.278690:0.214436:0.269431:0.214436:0.000000
:@0.278688:0.230187:0.284431:0.230187:0.284431:0.212259:0.278688:0.212259:0.000000
x:@0.268474:0.244566:0.275929:0.244566:0.275929:0.229130:0.268474:0.229130:0.000000
:@0.275929:0.244881:0.281672:0.244881:0.281672:0.226953:0.275929:0.226953:0.000000
2:@0.285298:0.240573:0.289385:0.240573:0.289385:0.217291:0.285298:0.217291:0.000000
,   | | ≠ 0.:@0.290017:0.236306:0.352419:0.236306:0.352419:0.220594:0.290017:0.220594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309549:0.236306:0.317004:0.236306:0.317004:0.220871:0.309549:0.220871:0.000000
De este resultado, se obtienen dos ecuaciones cartesianas de rectas:@0.073089:0.267246:0.562980:0.267246:0.562980:0.251534:0.073089:0.251534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.299834:0.077120:0.299834:0.077120:0.284121:0.073089:0.284121:0.000000
( ,  )     tal que        , :@0.133331:0.299834:0.324050:0.299834:0.324050:0.284121:0.133331:0.284121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.138135:0.299834:0.160058:0.299834:0.160058:0.284399:0.138135:0.284399:0.000000:0.000000:0.000000
[:@0.168743:0.299544:0.183380:0.299544:0.183380:0.286134:0.168743:0.286134:0.000000
R:@0.187249:0.298974:0.200539:0.298974:0.200539:0.286077:0.187249:0.286077:0.000000
2:@0.200441:0.293770:0.205678:0.293770:0.205678:0.284610:0.200441:0.284610:0.000000
y:@0.263631:0.299834:0.271105:0.299834:0.271105:0.284399:0.263631:0.284399:0.000000
5:@0.274988:0.299279:0.290322:0.299279:0.290322:0.285564:0.274988:0.285564:0.000000
b:@0.295390:0.294562:0.304649:0.294562:0.304649:0.279126:0.295390:0.279126:0.000000
a:@0.294433:0.306641:0.303692:0.306641:0.303692:0.291206:0.294433:0.291206:0.000000
x:@0.309435:0.299834:0.316890:0.299834:0.316890:0.284399:0.309435:0.284399:0.000000
( ,  )     tal que          , :@0.133336:0.328118:0.343236:0.328118:0.343236:0.312405:0.133336:0.312405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.138127:0.328118:0.160050:0.328118:0.160050:0.312682:0.138127:0.312682:0.000000:0.000000:0.000000
[:@0.168743:0.327828:0.183380:0.327828:0.183380:0.314418:0.168743:0.314418:0.000000
R:@0.187249:0.327258:0.200539:0.327258:0.200539:0.314360:0.187249:0.314360:0.000000
2:@0.200441:0.322054:0.205678:0.322054:0.205678:0.312893:0.200441:0.312893:0.000000
y:@0.263631:0.328118:0.271105:0.328118:0.271105:0.312682:0.263631:0.312682:0.000000
5 2:@0.274988:0.327563:0.309520:0.327563:0.309520:0.313847:0.274988:0.313847:0.000000:0.000000:0.000000
b:@0.314582:0.323579:0.323841:0.323579:0.323841:0.308144:0.314582:0.308144:0.000000
a:@0.313625:0.335658:0.322884:0.335658:0.322884:0.320223:0.313625:0.320223:0.000000
x:@0.328621:0.328118:0.336075:0.328118:0.336075:0.312682:0.328621:0.312682:0.000000
lo que permite definir dos rectas asíntotas dadas como::@0.073073:0.355480:0.473550:0.355480:0.473550:0.339767:0.073073:0.339767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.191652:0.388389:0.200598:0.388389:0.200598:0.372954:0.191652:0.372954:0.000000
1:@0.200555:0.391560:0.205791:0.391560:0.205791:0.382399:0.200555:0.382399:0.000000
    ( ,  )     |        ,:@0.205745:0.388388:0.382447:0.388388:0.382447:0.372675:0.205745:0.372675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.209703:0.387833:0.225036:0.387833:0.225036:0.374117:0.209703:0.374117:0.000000
5:@0.229108:0.392163:0.233194:0.392163:0.233194:0.368882:0.229108:0.368882:0.000000
x y:@0.238624:0.388388:0.260547:0.388388:0.260547:0.372952:0.238624:0.372952:0.000000:0.000000:0.000000
[:@0.269239:0.388098:0.283875:0.388098:0.283875:0.374688:0.269239:0.374688:0.000000
R:@0.287745:0.387528:0.301035:0.387528:0.301035:0.374630:0.287745:0.374630:0.000000
2:@0.300936:0.382324:0.306173:0.382324:0.306173:0.373163:0.300936:0.373163:0.000000
y:@0.317851:0.388388:0.325324:0.388388:0.325324:0.372952:0.317851:0.372952:0.000000
5:@0.329208:0.387833:0.344541:0.387833:0.344541:0.374117:0.329208:0.374117:0.000000
b:@0.349617:0.382799:0.358875:0.382799:0.358875:0.367363:0.349617:0.367363:0.000000
a:@0.348659:0.394878:0.357918:0.394878:0.357918:0.379443:0.348659:0.379443:0.000000
x :@0.363655:0.388388:0.374349:0.388388:0.374349:0.372952:0.363655:0.372952:0.000000:0.000000
6:@0.374510:0.392993:0.378596:0.392993:0.378596:0.369711:0.374510:0.369711:0.000000
R:@0.191676:0.417424:0.200621:0.417424:0.200621:0.401989:0.191676:0.401989:0.000000
2:@0.200555:0.420596:0.205791:0.420596:0.205791:0.411436:0.200555:0.411436:0.000000
    ( ,  )     |          .:@0.205745:0.417424:0.401639:0.417424:0.401639:0.401711:0.205745:0.401711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.209703:0.416869:0.225036:0.416869:0.225036:0.403153:0.209703:0.403153:0.000000
5:@0.229108:0.421312:0.233194:0.421312:0.233194:0.398030:0.229108:0.398030:0.000000
x y:@0.238624:0.417424:0.260547:0.417424:0.260547:0.401989:0.238624:0.401989:0.000000:0.000000:0.000000
[:@0.269239:0.417134:0.283875:0.417134:0.283875:0.403724:0.269239:0.403724:0.000000
R:@0.287745:0.416564:0.301035:0.416564:0.301035:0.403667:0.287745:0.403667:0.000000
2:@0.300936:0.411360:0.306173:0.411360:0.306173:0.402199:0.300936:0.402199:0.000000
y:@0.317851:0.417424:0.325324:0.417424:0.325324:0.401989:0.317851:0.401989:0.000000
5 2:@0.329208:0.416869:0.363740:0.416869:0.363740:0.403153:0.329208:0.403153:0.000000:0.000000:0.000000
b:@0.368807:0.412131:0.378066:0.412131:0.378066:0.396696:0.368807:0.396696:0.000000
a:@0.367850:0.424210:0.377109:0.424210:0.377109:0.408775:0.367850:0.408775:0.000000
x :@0.382853:0.417424:0.393548:0.417424:0.393548:0.401989:0.382853:0.401989:0.000000:0.000000
6:@0.393702:0.421313:0.397788:0.421313:0.397788:0.398031:0.393702:0.398031:0.000000
En la Figura 2.38., se muestran con línea punteada estas dos rectas.:@0.073089:0.444787:0.554521:0.444787:0.554521:0.429074:0.073089:0.429074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resuelto:@0.073089:0.470360:0.208883:0.470360:0.208883:0.453690:0.073089:0.453690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.208732:0.470360:0.216021:0.470360:0.216021:0.453690:0.208732:0.453690:0.000000
1.  La ecuación cartesiana de una hipérbola es ( ,  )   :@0.073089:0.495939:0.486925:0.495939:0.486925:0.480227:0.073089:0.480227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.435339:0.495939:0.458403:0.495939:0.458403:0.480504:0.435339:0.480504:0.000000:0.000000:0.000000
[:@0.468189:0.495649:0.482826:0.495649:0.482826:0.482239:0.468189:0.482239:0.000000
R:@0.487698:0.495079:0.500988:0.495079:0.500988:0.482182:0.487698:0.482182:0.000000
2:@0.501065:0.489875:0.506302:0.489875:0.506302:0.480715:0.501065:0.480715:0.000000
, tal que         1. :@0.506338:0.495939:0.662929:0.495939:0.662929:0.480227:0.506338:0.480227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.571039:0.495939:0.578494:0.495939:0.578494:0.480504:0.571039:0.480504:0.000000
2:@0.578539:0.489875:0.583776:0.489875:0.583776:0.480715:0.578539:0.480715:0.000000
2:@0.588616:0.495385:0.603950:0.495385:0.603950:0.481669:0.588616:0.481669:0.000000
y:@0.608827:0.495939:0.616301:0.495939:0.616301:0.480504:0.608827:0.480504:0.000000
2:@0.616361:0.489875:0.621598:0.489875:0.621598:0.480715:0.616361:0.480715:0.000000
5:@0.626438:0.495385:0.641771:0.495385:0.641771:0.481669:0.626438:0.481669:0.000000
Entonces, la hipérbola es equilátera, sus focos son :@0.103212:0.512581:0.466590:0.512581:0.466590:0.496868:0.103212:0.496868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.111610:0.541330:0.116847:0.541330:0.116847:0.532170:0.111610:0.532170:0.000000
   (    2 , 0),      (   2 , 0), pues     1 y        2  .  En la Figura 2.38., se :@0.116884:0.538158:0.662996:0.538158:0.662996:0.522445:0.116884:0.522445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.121707:0.537603:0.162203:0.537603:0.162203:0.523887:0.121707:0.523887:0.000000:0.000000:0.000000
2:@0.233944:0.541330:0.239181:0.541330:0.239181:0.532170:0.233944:0.532170:0.000000
5:@0.244039:0.537603:0.259372:0.537603:0.259372:0.523887:0.244039:0.523887:0.000000
a:@0.367533:0.538158:0.376792:0.538158:0.376792:0.522723:0.367533:0.522723:0.000000
5:@0.381670:0.537603:0.397003:0.537603:0.397003:0.523887:0.381670:0.523887:0.000000
c:@0.428738:0.538158:0.436395:0.538158:0.436395:0.522723:0.428738:0.522723:0.000000
5:@0.441273:0.537603:0.456606:0.537603:0.456606:0.523887:0.441273:0.523887:0.000000
a:@0.487954:0.538158:0.497213:0.538158:0.497213:0.522723:0.487954:0.522723:0.000000
muestra el conjunto  ( , 1, 1)   {( ,  )     |         1}. De la ecuación ( ,  ) :@0.103242:0.554800:0.662941:0.554800:0.662941:0.539087:0.103242:0.539087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.321085:0.554245:0.336419:0.554245:0.336419:0.540529:0.321085:0.540529:0.000000
x y:@0.349340:0.554800:0.370840:0.554800:0.370840:0.539364:0.349340:0.539364:0.000000:0.000000:0.000000
[:@0.379088:0.554510:0.393724:0.554510:0.393724:0.541100:0.379088:0.541100:0.000000
R:@0.397248:0.553940:0.410538:0.553940:0.410538:0.541042:0.397248:0.541042:0.000000
2:@0.410352:0.548736:0.415589:0.548736:0.415589:0.539575:0.410352:0.539575:0.000000
x:@0.426607:0.554800:0.434062:0.554800:0.434062:0.539364:0.426607:0.539364:0.000000
2:@0.433912:0.548736:0.439149:0.548736:0.439149:0.539575:0.433912:0.539575:0.000000
2:@0.442749:0.554245:0.458082:0.554245:0.458082:0.540529:0.442749:0.540529:0.000000
y:@0.461598:0.554800:0.469071:0.554800:0.469071:0.539364:0.461598:0.539364:0.000000
2:@0.468909:0.548736:0.474146:0.548736:0.474146:0.539575:0.468909:0.539575:0.000000
5:@0.477746:0.554245:0.493079:0.554245:0.493079:0.540529:0.477746:0.540529:0.000000
x y:@0.632330:0.554800:0.654106:0.554800:0.654106:0.539364:0.632330:0.539364:0.000000:0.000000:0.000000
[:@0.103210:0.571152:0.117846:0.571152:0.117846:0.557742:0.103210:0.557742:0.000000
  , tal que :@0.117758:0.571442:0.201430:0.571442:0.201430:0.555729:0.117758:0.555729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.121716:0.570582:0.135006:0.570582:0.135006:0.557684:0.121716:0.557684:0.000000
2:@0.134906:0.565378:0.140143:0.565378:0.140143:0.556217:0.134906:0.556217:0.000000
x:@0.103209:0.597014:0.110664:0.597014:0.110664:0.581579:0.103209:0.581579:0.000000
2:@0.110598:0.590953:0.115835:0.590953:0.115835:0.581793:0.110598:0.581793:0.000000
       1, se obtiene          1, y como     0, se sigue que     1   0, :@0.115788:0.597017:0.662948:0.597017:0.662948:0.581304:0.115788:0.581304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.119948:0.596462:0.135282:0.596462:0.135282:0.582747:0.119948:0.582747:0.000000
y:@0.139350:0.597017:0.146823:0.597017:0.146823:0.581582:0.139350:0.581582:0.000000
2:@0.146759:0.590953:0.151995:0.590953:0.151995:0.581793:0.146759:0.581793:0.000000
5:@0.156108:0.596462:0.171441:0.596462:0.171441:0.582747:0.156108:0.582747:0.000000
y:@0.272294:0.597017:0.279768:0.597017:0.279768:0.581582:0.272294:0.581582:0.000000
2:@0.279609:0.590953:0.284846:0.590953:0.284846:0.581793:0.279609:0.581793:0.000000
2:@0.288812:0.596462:0.304146:0.596462:0.304146:0.582747:0.288812:0.582747:0.000000
x:@0.308029:0.597017:0.315484:0.597017:0.315484:0.581582:0.308029:0.581582:0.000000
2:@0.315327:0.590953:0.320564:0.590953:0.320564:0.581793:0.315327:0.581793:0.000000
5 2:@0.324532:0.596462:0.359083:0.596462:0.359083:0.582747:0.324532:0.582747:0.000000:0.000000:0.000000
y:@0.433043:0.597017:0.440517:0.597017:0.440517:0.581582:0.433043:0.581582:0.000000
2:@0.440368:0.590953:0.445604:0.590953:0.445604:0.581793:0.440368:0.581793:0.000000
$:@0.449571:0.596462:0.464904:0.596462:0.464904:0.582747:0.449571:0.582747:0.000000
x:@0.579085:0.597017:0.586540:0.597017:0.586540:0.581582:0.579085:0.581582:0.000000
2:@0.586374:0.590953:0.591611:0.590953:0.591611:0.581793:0.586374:0.581793:0.000000
2 $:@0.595578:0.596462:0.643013:0.596462:0.643013:0.582747:0.595578:0.582747:0.000000:0.000000:0.000000
con lo que:@0.103220:0.613659:0.180034:0.613659:0.180034:0.597946:0.103220:0.597946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| |   1, es decir, :@0.103220:0.639232:0.218341:0.639232:0.218341:0.623519:0.103220:0.623519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.106957:0.639232:0.114412:0.639232:0.114412:0.623796:0.106957:0.623796:0.000000
$:@0.121793:0.638677:0.137127:0.638677:0.137127:0.624961:0.121793:0.624961:0.000000
x :@0.218192:0.639232:0.228887:0.639232:0.228887:0.623796:0.218192:0.623796:0.000000:0.000000
[:@0.228776:0.638946:0.243413:0.638946:0.243413:0.625536:0.228776:0.625536:0.000000
 ]:@0.243325:0.639236:0.252105:0.639236:0.252105:0.623523:0.243325:0.623523:0.000000:0.000000
2` 2:@0.252031:0.638681:0.301823:0.638681:0.301823:0.624965:0.252031:0.624965:0.000000:0.000000:0.000000:0.000000
,  1]   [1,  [. Para :@0.279458:0.639236:0.417117:0.639236:0.417117:0.623523:0.279458:0.623523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ø:@0.319338:0.638946:0.333975:0.638946:0.333975:0.625536:0.319338:0.625536:0.000000
`:@0.358534:0.638681:0.370812:0.638681:0.370812:0.624965:0.358534:0.624965:0.000000
x :@0.416959:0.639236:0.427653:0.639236:0.427653:0.623800:0.416959:0.623800:0.000000:0.000000
[:@0.427561:0.638946:0.442197:0.638946:0.442197:0.625536:0.427561:0.625536:0.000000
 ]:@0.442110:0.639236:0.450890:0.639236:0.450890:0.623523:0.442110:0.623523:0.000000:0.000000
2` 2:@0.450816:0.638681:0.500608:0.638681:0.500608:0.624965:0.450816:0.624965:0.000000:0.000000:0.000000:0.000000
,  1] de la ecuación     :@0.478243:0.639236:0.662930:0.639236:0.662930:0.623523:0.478243:0.623523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.627066:0.639236:0.634539:0.639236:0.634539:0.623800:0.627066:0.623800:0.000000
2:@0.634474:0.633172:0.639711:0.633172:0.639711:0.624011:0.634474:0.624011:0.000000
2:@0.643565:0.638681:0.658899:0.638681:0.658899:0.624965:0.643565:0.624965:0.000000
x:@0.103202:0.655877:0.110657:0.655877:0.110657:0.640442:0.103202:0.640442:0.000000
2:@0.110598:0.649813:0.115835:0.649813:0.115835:0.640653:0.110598:0.640653:0.000000
    1, se obtiene la rama de hipérbola que se muestra a la izquierda y para :@0.115788:0.655877:0.663288:0.655877:0.663288:0.640165:0.115788:0.640165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.119543:0.655323:0.153873:0.655323:0.153873:0.641607:0.119543:0.641607:0.000000:0.000000:0.000000
x :@0.103198:0.672519:0.113948:0.672519:0.113948:0.657084:0.103198:0.657084:0.000000:0.000000
[:@0.114278:0.672229:0.128915:0.672229:0.128915:0.658819:0.114278:0.658819:0.000000
 [1,  [, y de la ecuación          1, se obtiene la rama de la hipérbola :@0.128894:0.672519:0.662982:0.672519:0.662982:0.656807:0.128894:0.656807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
`:@0.154738:0.671964:0.167015:0.671964:0.167015:0.658249:0.154738:0.658249:0.000000
y:@0.303137:0.672519:0.310610:0.672519:0.310610:0.657084:0.303137:0.657084:0.000000
2:@0.310601:0.666455:0.315838:0.666455:0.315838:0.657295:0.310601:0.657295:0.000000
2:@0.320245:0.671964:0.335578:0.671964:0.335578:0.658249:0.320245:0.658249:0.000000
x:@0.339978:0.672519:0.347433:0.672519:0.347433:0.657084:0.339978:0.657084:0.000000
2:@0.347409:0.666455:0.352646:0.666455:0.352646:0.657295:0.347409:0.657295:0.000000
5 2:@0.357053:0.671964:0.392119:0.671964:0.392119:0.658249:0.357053:0.658249:0.000000:0.000000:0.000000
que se muestra a la derecha.:@0.103217:0.689161:0.309316:0.689161:0.309316:0.673448:0.103217:0.673448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Una hipérbola tiene como ecuación canónica la siguiente::@0.073089:0.714738:0.524427:0.714738:0.524427:0.699025:0.073089:0.699025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )    , tal que 4    5     20.:@0.103210:0.740313:0.362164:0.740313:0.362164:0.724601:0.103210:0.724601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.108014:0.740313:0.129937:0.740313:0.129937:0.724878:0.108014:0.724878:0.000000:0.000000:0.000000
[:@0.138623:0.740023:0.153259:0.740023:0.153259:0.726613:0.138623:0.726613:0.000000
R:@0.157129:0.739453:0.170419:0.739453:0.170419:0.726556:0.157129:0.726556:0.000000
2:@0.170320:0.734249:0.175557:0.734249:0.175557:0.725089:0.170320:0.725089:0.000000
x:@0.245530:0.740313:0.252985:0.740313:0.252985:0.724878:0.245530:0.724878:0.000000
2:@0.252915:0.734249:0.258152:0.734249:0.258152:0.725089:0.252915:0.725089:0.000000
2:@0.262062:0.739759:0.277395:0.739759:0.277395:0.726043:0.262062:0.726043:0.000000
y:@0.290151:0.740313:0.297624:0.740313:0.297624:0.724878:0.290151:0.724878:0.000000
2:@0.297556:0.734249:0.302793:0.734249:0.302793:0.725089:0.297556:0.725089:0.000000
5 2:@0.306702:0.739759:0.341235:0.739759:0.341235:0.726043:0.306702:0.726043:0.000000:0.000000:0.000000
Dividiendo miembro a miembro entre 20, la ecuación de:@0.103229:0.765886:0.514572:0.765886:0.514572:0.750174:0.103229:0.750174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la hipérbola se expresa como :@0.103229:0.796715:0.319186:0.796715:0.319186:0.781003:0.103229:0.781003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.334692:0.806077:0.342858:0.806077:0.342858:0.791793:0.334692:0.791793:0.000000
X:@0.332019:0.789434:0.340252:0.789434:0.340252:0.775402:0.332019:0.775402:0.000000
1 2 1 2:@0.319295:0.802262:0.402395:0.804980:0.402395:0.777128:0.319295:0.774410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.351399:0.789112:0.356663:0.789112:0.356663:0.773399:0.351399:0.773399:0.000000
   :@0.356817:0.796719:0.380040:0.796719:0.380040:0.781006:0.356817:0.781006:0.000000:0.000000:0.000000
2:@0.360768:0.796164:0.376101:0.796164:0.376101:0.782449:0.360768:0.782449:0.000000
y:@0.387445:0.789378:0.394918:0.789378:0.394918:0.773942:0.387445:0.773942:0.000000
2:@0.386543:0.807365:0.395526:0.807365:0.395526:0.791652:0.386543:0.791652:0.000000
:@0.402410:0.792943:0.407675:0.792943:0.407675:0.777230:0.402410:0.777230:0.000000
    1.:@0.408473:0.796719:0.458976:0.796719:0.458976:0.781006:0.408473:0.781006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.412424:0.796164:0.446956:0.796164:0.446956:0.782449:0.412424:0.782449:0.000000:0.000000:0.000000
Se tiene   :@0.103219:0.822292:0.197132:0.822292:0.197132:0.806579:0.103219:0.806579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.183143:0.822292:0.192402:0.822292:0.192402:0.806857:0.183143:0.806857:0.000000
5:@0.202673:0.821737:0.218006:0.821737:0.218006:0.808022:0.202673:0.808022:0.000000
 2,   :@0.218982:0.822292:0.265994:0.822292:0.265994:0.806579:0.218982:0.806579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.252005:0.822292:0.261263:0.822292:0.261263:0.806857:0.252005:0.806857:0.000000
5:@0.271535:0.821737:0.286868:0.821737:0.286868:0.808022:0.271535:0.808022:0.000000
    5. De la relación :@0.287843:0.822292:0.473608:0.822292:0.473608:0.806579:0.287843:0.806579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.479113:0.822292:0.488372:0.822292:0.488372:0.806857:0.479113:0.806857:0.000000
2:@0.489067:0.816232:0.494303:0.816232:0.494303:0.807071:0.489067:0.807071:0.000000
 :@0.494801:0.822296:0.498832:0.822296:0.498832:0.806583:0.494801:0.806583:0.000000
5:@0.504373:0.821741:0.519706:0.821741:0.519706:0.808025:0.504373:0.808025:0.000000
 :@0.520682:0.822296:0.524713:0.822296:0.524713:0.806583:0.520682:0.806583:0.000000
c:@0.530254:0.822296:0.537911:0.822296:0.537911:0.806860:0.530254:0.806860:0.000000
2:@0.538599:0.816232:0.543836:0.816232:0.543836:0.807071:0.538599:0.807071:0.000000
 :@0.544335:0.822296:0.548366:0.822296:0.548366:0.806583:0.544335:0.806583:0.000000
2:@0.553907:0.821741:0.569240:0.821741:0.569240:0.808025:0.553907:0.808025:0.000000
 :@0.570216:0.822296:0.574247:0.822296:0.574247:0.806583:0.570216:0.806583:0.000000
a:@0.579787:0.822296:0.589046:0.822296:0.589046:0.806860:0.579787:0.806860:0.000000
2:@0.589734:0.816232:0.594971:0.816232:0.594971:0.807071:0.589734:0.807071:0.000000
 resulta :@0.595470:0.822296:0.662933:0.822296:0.662933:0.806583:0.595470:0.806583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.103205:0.838938:0.110863:0.838938:0.110863:0.823502:0.103205:0.823502:0.000000
2:@0.110801:0.832874:0.116037:0.832874:0.116037:0.823713:0.110801:0.823713:0.000000
        , con lo que     3.:@0.115990:0.838938:0.322412:0.838938:0.322412:0.823225:0.115990:0.823225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.119948:0.838383:0.135281:0.838383:0.135281:0.824667:0.119948:0.824667:0.000000
a:@0.139147:0.838938:0.148406:0.838938:0.148406:0.823502:0.139147:0.823502:0.000000
2:@0.148325:0.832874:0.153562:0.832874:0.153562:0.823713:0.148325:0.823713:0.000000
1:@0.157472:0.838383:0.172805:0.838383:0.172805:0.824667:0.157472:0.824667:0.000000
b:@0.176670:0.838938:0.185929:0.838938:0.185929:0.823502:0.176670:0.823502:0.000000
2:@0.185849:0.832874:0.191086:0.832874:0.191086:0.823713:0.185849:0.823713:0.000000
c:@0.279560:0.838938:0.287218:0.838938:0.287218:0.823502:0.279560:0.823502:0.000000
5:@0.291102:0.838383:0.306435:0.838383:0.306435:0.824667:0.291102:0.824667:0.000000
Los focos de la hipérbola son     (0,  3),      (0, 3). El eje principal coincide :@0.103219:0.864511:0.663113:0.864513:0.663113:0.848800:0.103219:0.848798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.324037:0.867685:0.329274:0.867685:0.329274:0.858525:0.324037:0.858525:0.000000
5:@0.332963:0.863958:0.348296:0.863958:0.348296:0.850243:0.332963:0.850243:0.000000
2:@0.372483:0.863958:0.387817:0.863958:0.387817:0.850243:0.372483:0.850243:0.000000
2:@0.420272:0.867685:0.425509:0.867685:0.425509:0.858525:0.420272:0.858525:0.000000
5:@0.429199:0.863958:0.444533:0.863958:0.444533:0.850243:0.429199:0.850243:0.000000
con el eje  . Además, los vértices de la hipérbola son     (0,  2),     (0,  2). :@0.103225:0.881155:0.662948:0.881155:0.662948:0.865442:0.103225:0.865442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y:@0.176486:0.881155:0.185395:0.881155:0.185395:0.865720:0.176486:0.865720:0.000000
5:@0.495384:0.880600:0.510717:0.880600:0.510717:0.866884:0.495384:0.866884:0.000000
2:@0.535051:0.880600:0.550384:0.880600:0.550384:0.866884:0.535051:0.866884:0.000000
1:@0.578092:0.884327:0.583329:0.884327:0.583329:0.875167:0.578092:0.875167:0.000000
5:@0.587092:0.880600:0.602425:0.880600:0.602425:0.866884:0.587092:0.866884:0.000000
2:@0.626759:0.880600:0.642093:0.880600:0.642093:0.866884:0.626759:0.866884:0.000000
En la Figura 2.39. se muestra la hipérbola::@0.103202:0.897797:0.399710:0.897797:0.399710:0.882084:0.103202:0.882084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( , 2,   5 )    ( ,  )     | :@0.253024:0.931909:0.426027:0.931909:0.426027:0.916197:0.253024:0.916197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.317785:0.931354:0.333119:0.931354:0.333119:0.917639:0.317785:0.917639:0.000000
5:@0.337192:0.936161:0.341278:0.936161:0.341278:0.912879:0.337192:0.912879:0.000000
x y:@0.346706:0.931909:0.368630:0.931909:0.368630:0.916474:0.346706:0.916474:0.000000:0.000000:0.000000
[:@0.377323:0.931619:0.391959:0.931619:0.391959:0.918209:0.377323:0.918209:0.000000
R:@0.395829:0.931049:0.409119:0.931049:0.409119:0.918152:0.395829:0.918152:0.000000
2:@0.409020:0.925845:0.414257:0.925845:0.414257:0.916685:0.409020:0.916685:0.000000
5:@0.441721:0.941916:0.449888:0.941916:0.449888:0.927632:0.441721:0.927632:0.000000
X:@0.439049:0.925272:0.447282:0.925272:0.447282:0.911240:0.439049:0.911240:0.000000
1 2 1 2:@0.426325:0.938099:0.509427:0.939490:0.509427:0.911639:0.426325:0.910248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.458430:0.924950:0.463695:0.924950:0.463695:0.909237:0.458430:0.909237:0.000000
   :@0.463847:0.931909:0.487070:0.931909:0.487070:0.916197:0.463847:0.916197:0.000000:0.000000:0.000000
2:@0.467798:0.931354:0.483131:0.931354:0.483131:0.917639:0.467798:0.917639:0.000000
y:@0.494477:0.923888:0.501950:0.923888:0.501950:0.908453:0.494477:0.908453:0.000000
2:@0.493575:0.941875:0.502557:0.941875:0.502557:0.926162:0.493575:0.926162:0.000000
:@0.509440:0.927454:0.514704:0.927454:0.514704:0.911741:0.509440:0.911741:0.000000
    1  .:@0.515503:0.931909:0.574881:0.931909:0.574881:0.916197:0.515503:0.916197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.519454:0.931354:0.553986:0.931354:0.553986:0.917639:0.519454:0.917639:0.000000:0.000000:0.000000
6:@0.566959:0.936441:0.571046:0.936441:0.571046:0.913159:0.566959:0.913159:0.000000
Figura 2.38.:@0.700015:0.750876:0.760204:0.750876:0.760204:0.739448:0.700015:0.739448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.704682:0.661788:0.710118:0.661788:0.710118:0.650562:0.704682:0.650562:0.000000
2:@0.710118:0.657378:0.713926:0.657378:0.713926:0.650716:0.710118:0.650716:0.000000
   :@0.713926:0.661788:0.730901:0.661788:0.730901:0.650360:0.713926:0.650360:0.000000:0.000000:0.000000
5:@0.716818:0.661384:0.727969:0.661384:0.727969:0.651409:0.716818:0.651409:0.000000
x –:@0.730861:0.661788:0.746785:0.661788:0.746785:0.650562:0.730861:0.650562:0.000000:0.000000:0.000000
2:@0.736283:0.657378:0.740091:0.657378:0.740091:0.650716:0.736283:0.650716:0.000000
1:@0.746785:0.661788:0.753318:0.661788:0.753318:0.650360:0.746785:0.650360:0.000000
y:@0.872530:0.661788:0.877965:0.661788:0.877965:0.650562:0.872530:0.650562:0.000000
2:@0.877970:0.657378:0.881779:0.657378:0.881779:0.650716:0.877970:0.650716:0.000000
   :@0.881779:0.661788:0.898794:0.661788:0.898794:0.650360:0.881779:0.650360:0.000000:0.000000:0.000000
5:@0.884710:0.661384:0.895862:0.661384:0.895862:0.651409:0.884710:0.651409:0.000000
x –:@0.898794:0.661788:0.914718:0.661788:0.914718:0.650562:0.898794:0.650562:0.000000:0.000000:0.000000
2:@0.904215:0.657378:0.908024:0.657378:0.908024:0.650716:0.904215:0.650716:0.000000
1:@0.914718:0.661788:0.921250:0.661788:0.921250:0.650360:0.914718:0.650360:0.000000
0:@0.804257:0.689246:0.809157:0.689246:0.809157:0.680675:0.804257:0.680675:0.000000
y:@0.795308:0.634863:0.801762:0.634863:0.801762:0.621533:0.795308:0.621533:0.000000
x:@0.913774:0.695168:0.920212:0.695168:0.920212:0.681837:0.913774:0.681837:0.000000
2:@0.794194:0.705408:0.802557:0.705408:0.802557:0.697927:0.794194:0.697927:0.000000
1:@0.802557:0.705711:0.807457:0.705711:0.807457:0.697140:0.802557:0.697140:0.000000
1:@0.802557:0.662283:0.807457:0.662283:0.807457:0.653713:0.802557:0.653713:0.000000
1:@0.835831:0.688910:0.840730:0.688910:0.840730:0.680340:0.835831:0.680340:0.000000
2:@0.872357:0.688910:0.877257:0.688910:0.877257:0.680340:0.872357:0.680340:0.000000
2:@0.762647:0.688093:0.771010:0.688093:0.771010:0.680612:0.762647:0.680612:0.000000
1:@0.771010:0.688396:0.775910:0.688396:0.775910:0.679825:0.771010:0.679825:0.000000
2:@0.737275:0.688608:0.745639:0.688608:0.745639:0.681126:0.737275:0.681126:0.000000
2:@0.745639:0.688910:0.750538:0.688910:0.750538:0.680340:0.745639:0.680340:0.000000
F:@0.758748:0.679210:0.764232:0.679210:0.764232:0.668686:0.758748:0.668686:0.000000
:@0.760719:0.678318:0.764898:0.678318:0.764898:0.667974:0.760719:0.667974:0.000000
1:@0.763581:0.680112:0.767151:0.680112:0.767151:0.673866:0.763581:0.673866:0.000000
F:@0.854005:0.680103:0.859490:0.680103:0.859490:0.669579:0.854005:0.669579:0.000000
:@0.855976:0.679214:0.860155:0.679214:0.860155:0.668869:0.855976:0.668869:0.000000
2:@0.858838:0.681005:0.862409:0.681005:0.862409:0.674760:0.858838:0.674760:0.000000
x:@0.710824:0.671248:0.716245:0.671248:0.716245:0.660023:0.710824:0.660023:0.000000
    1:@0.716245:0.671248:0.750945:0.671248:0.750945:0.659821:0.716245:0.659821:0.000000:0.000000:0.000000:0.000000:0.000000
# 2:@0.719177:0.670845:0.744412:0.670845:0.744412:0.660870:0.719177:0.660870:0.000000:0.000000:0.000000
x:@0.879675:0.671248:0.885097:0.671248:0.885097:0.660023:0.879675:0.660023:0.000000
   1:@0.885097:0.671248:0.908645:0.671248:0.908645:0.659821:0.885097:0.659821:0.000000:0.000000:0.000000:0.000000
$:@0.888029:0.670845:0.899180:0.670845:0.899180:0.660870:0.888029:0.660870:0.000000
Figura 2.39.:@0.700015:0.906962:0.760204:0.906962:0.760204:0.895534:0.700015:0.895534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.798830:0.790069:0.805285:0.790069:0.805285:0.776738:0.798830:0.776738:0.000000
x:@0.908926:0.854157:0.915364:0.854157:0.915364:0.840827:0.908926:0.840827:0.000000
0 1:@0.812802:0.848232:0.829067:0.847497:0.829067:0.838926:0.812802:0.839661:0.000000:0.000000:0.000000
1:@0.803514:0.835636:0.808414:0.835636:0.808414:0.827065:0.803514:0.827065:0.000000
2:@0.795653:0.849819:0.804016:0.849819:0.804016:0.842338:0.795653:0.842338:0.000000
1:@0.803514:0.850122:0.808414:0.850122:0.808414:0.841551:0.803514:0.841551:0.000000
2:@0.795653:0.857679:0.804016:0.857679:0.804016:0.850197:0.795653:0.850197:0.000000
2:@0.803514:0.857981:0.808414:0.857981:0.808414:0.849411:0.803514:0.849411:0.000000
2:@0.795653:0.865538:0.804016:0.865538:0.804016:0.858057:0.795653:0.858057:0.000000
3:@0.803514:0.865841:0.808414:0.865841:0.808414:0.857270:0.803514:0.857270:0.000000
2:@0.795653:0.873397:0.804016:0.873397:0.804016:0.865916:0.795653:0.865916:0.000000
4:@0.803514:0.873700:0.808414:0.873700:0.808414:0.865130:0.803514:0.865130:0.000000
2:@0.803514:0.827769:0.808414:0.827769:0.808414:0.819198:0.803514:0.819198:0.000000
3:@0.803514:0.819909:0.808414:0.819909:0.808414:0.811339:0.803514:0.811339:0.000000
4:@0.803514:0.812050:0.808414:0.812050:0.808414:0.803479:0.803514:0.803479:0.000000
2:@0.789729:0.847202:0.798093:0.847202:0.798093:0.839720:0.789729:0.839720:0.000000
1:@0.798093:0.847504:0.802992:0.847504:0.802992:0.838934:0.798093:0.838934:0.000000
2:@0.773885:0.847202:0.782249:0.847202:0.782249:0.839720:0.773885:0.839720:0.000000
2:@0.782249:0.847504:0.787149:0.847504:0.787149:0.838934:0.782249:0.838934:0.000000
2:@0.758734:0.847202:0.767098:0.847202:0.767098:0.839720:0.758734:0.839720:0.000000
3:@0.767098:0.847504:0.771998:0.847504:0.771998:0.838934:0.767098:0.838934:0.000000
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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