106:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 5 (Ev. 3) Utiliza las expresiones simbólicas de las cónicas y propone los rangos de variación para obtener una gráfica requerida.:@0.227740:0.971336:0.914953:0.971336:0.914953:0.959909:0.227740:0.959909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Una circunferencia tiene radio 2 y su centro en el punto (1, 2).:@0.293660:0.137167:0.832062:0.137167:0.832062:0.121454:0.293660:0.121454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.770785:0.136612:0.786118:0.136612:0.786118:0.122896:0.770785:0.122896:0.000000 Hallemos la ecuación de esta circunferencia.:@0.323783:0.153808:0.643439:0.153808:0.643439:0.138096:0.323783:0.138096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea ( , 2) entonces::@0.323774:0.188319:0.472228:0.188319:0.472228:0.172606:0.323774:0.172606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.353407:0.188319:0.363310:0.188319:0.363310:0.172883:0.353407:0.172883:0.000000 ( , ) C( , 2) ( 1) ( 2) 4.:@0.465348:0.222830:0.755244:0.222830:0.755244:0.207118:0.465348:0.207118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.470152:0.222830:0.492075:0.222830:0.492075:0.207395:0.470152:0.207395:0.000000:0.000000:0.000000 [:@0.500745:0.222692:0.516078:0.222692:0.516078:0.208643:0.500745:0.208643:0.000000 x:@0.593176:0.222830:0.600631:0.222830:0.600631:0.207395:0.593176:0.207395:0.000000 2:@0.604515:0.222276:0.619848:0.222276:0.619848:0.208560:0.604515:0.208560:0.000000 2:@0.637407:0.216766:0.642644:0.216766:0.642644:0.207606:0.637407:0.207606:0.000000 1:@0.646554:0.222276:0.661887:0.222276:0.661887:0.208560:0.646554:0.208560:0.000000 y:@0.670539:0.222830:0.678012:0.222830:0.678012:0.207395:0.670539:0.207395:0.000000 2:@0.681896:0.222276:0.697229:0.222276:0.697229:0.208560:0.681896:0.208560:0.000000 2:@0.714786:0.216766:0.720023:0.216766:0.720023:0.207606:0.714786:0.207606:0.000000 5:@0.723933:0.222276:0.739266:0.222276:0.739266:0.208560:0.723933:0.208560:0.000000 3.2 Ecuación de la circunferencia que pasa por tres puntos:@0.293663:0.257334:0.747640:0.257334:0.747640:0.240388:0.293663:0.240388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sabemos que la ecuación cartesiana de la circunferencia queda bien definida si se :@0.293663:0.291839:0.931245:0.291839:0.931245:0.276126:0.293663:0.276126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conoce su centro , ( , ) y su radio 0. Así::@0.293663:0.308480:0.682021:0.308493:0.682021:0.292780:0.293663:0.292768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.431935:0.311665:0.437172:0.311665:0.437172:0.302505:0.431935:0.302505:0.000000 5:@0.440255:0.307938:0.455589:0.307938:0.455589:0.294223:0.440255:0.294223:0.000000 a b:@0.464240:0.308493:0.489753:0.308493:0.489753:0.293058:0.464240:0.293058:0.000000:0.000000:0.000000 [:@0.498422:0.308354:0.513756:0.308354:0.513756:0.294306:0.498422:0.294306:0.000000 R:@0.517621:0.307633:0.530911:0.307633:0.530911:0.294736:0.517621:0.294736:0.000000 2:@0.530833:0.302429:0.536069:0.302429:0.536069:0.293269:0.530833:0.293269:0.000000 r:@0.613351:0.308493:0.618633:0.308493:0.618633:0.293058:0.613351:0.293058:0.000000 .:@0.622517:0.307938:0.637851:0.307938:0.637851:0.294223:0.622517:0.294223:0.000000 ( , ) tal que ( ) ( ) .:@0.456926:0.342997:0.763639:0.343003:0.763639:0.327291:0.456926:0.327284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.461730:0.342997:0.483653:0.342997:0.483653:0.327562:0.461730:0.327562:0.000000:0.000000:0.000000 [:@0.492323:0.342858:0.507656:0.342858:0.507656:0.328810:0.492323:0.328810:0.000000 R:@0.511522:0.342137:0.524812:0.342137:0.524812:0.329240:0.511522:0.329240:0.000000 2:@0.524736:0.336940:0.529973:0.336940:0.529973:0.327779:0.524736:0.327779:0.000000 x:@0.592713:0.343003:0.600168:0.343003:0.600168:0.327568:0.592713:0.327568:0.000000 2:@0.604052:0.342449:0.619385:0.342449:0.619385:0.328733:0.604052:0.328733:0.000000 x:@0.623250:0.343003:0.630705:0.343003:0.630705:0.327568:0.623250:0.327568:0.000000 0:@0.630637:0.346176:0.635874:0.346176:0.635874:0.337015:0.630637:0.337015:0.000000 2:@0.640623:0.336940:0.645860:0.336940:0.645860:0.327779:0.640623:0.327779:0.000000 1:@0.649772:0.342449:0.665105:0.342449:0.665105:0.328733:0.649772:0.328733:0.000000 y:@0.673757:0.343003:0.681230:0.343003:0.681230:0.327568:0.673757:0.327568:0.000000 2:@0.685114:0.342449:0.700447:0.342449:0.700447:0.328733:0.685114:0.328733:0.000000 y:@0.704313:0.343003:0.711786:0.343003:0.711786:0.327568:0.704313:0.327568:0.000000 0:@0.711709:0.346176:0.716946:0.346176:0.716946:0.337015:0.711709:0.337015:0.000000 2:@0.721697:0.336940:0.726934:0.336940:0.726934:0.327779:0.721697:0.327779:0.000000 5:@0.730844:0.342449:0.746177:0.342449:0.746177:0.328733:0.730844:0.328733:0.000000 r:@0.750043:0.343003:0.755326:0.343003:0.755326:0.327568:0.750043:0.327568:0.000000 2:@0.755245:0.336940:0.760482:0.336940:0.760482:0.327779:0.755245:0.327779:0.000000 Determinemos la ecuación cartesiana de la circunferencia que pasa por tres puntos :@0.293665:0.377507:0.931033:0.377507:0.931033:0.361795:0.293665:0.361795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dados , ), ( , ), ( , ) :@0.293665:0.394149:0.609721:0.394156:0.609721:0.378443:0.293665:0.378437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.355520:0.393601:0.370853:0.393601:0.370853:0.379885:0.355520:0.379885:0.000000 (x y:@0.375253:0.394156:0.407862:0.394156:0.407862:0.378720:0.375253:0.378720:0.000000:0.000000:0.000000:0.000000 1:@0.387559:0.397328:0.392796:0.397328:0.392796:0.388167:0.387559:0.388167:0.000000 1:@0.407850:0.397328:0.413087:0.397328:0.413087:0.388167:0.407850:0.388167:0.000000 5:@0.437176:0.393601:0.452510:0.393601:0.452510:0.379885:0.437176:0.379885:0.000000 x y:@0.461769:0.394156:0.489515:0.394156:0.489515:0.378720:0.461769:0.378720:0.000000:0.000000:0.000000 2:@0.469212:0.397328:0.474449:0.397328:0.474449:0.388167:0.469212:0.388167:0.000000 2:@0.489503:0.397328:0.494740:0.397328:0.494740:0.388167:0.489503:0.388167:0.000000 5:@0.523543:0.393601:0.538877:0.393601:0.538877:0.379885:0.523543:0.379885:0.000000 x y:@0.548135:0.394156:0.575882:0.394156:0.575882:0.378720:0.548135:0.378720:0.000000:0.000000:0.000000 3:@0.555579:0.397328:0.560815:0.397328:0.560815:0.388167:0.555579:0.388167:0.000000 3:@0.575870:0.397328:0.581107:0.397328:0.581107:0.388167:0.575870:0.388167:0.000000 [:@0.590375:0.394017:0.605708:0.394017:0.605708:0.379968:0.590375:0.379968:0.000000 R:@0.610108:0.393296:0.623398:0.393296:0.623398:0.380398:0.610108:0.380398:0.000000 2:@0.623381:0.388092:0.628618:0.388092:0.628618:0.378931:0.623381:0.378931:0.000000 no colineales. Para el efecto, denotamos :@0.628607:0.394156:0.930887:0.394156:0.930887:0.378443:0.628607:0.378443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con ( , ) el centro de la circunferencia, cuyas coordenadas son desconocidas y :@0.293650:0.410797:0.931026:0.410797:0.931026:0.395085:0.293650:0.395085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.335264:0.413970:0.340501:0.413970:0.340501:0.404809:0.335264:0.404809:0.000000 5:@0.345482:0.410243:0.360815:0.410243:0.360815:0.396527:0.345482:0.396527:0.000000 a b:@0.370810:0.410797:0.397629:0.410797:0.397629:0.395362:0.370810:0.395362:0.000000:0.000000:0.000000 deberán calcularse en términos de los datos , , . Como la circunferencia debe pasar :@0.293684:0.427439:0.930849:0.427439:0.930849:0.411727:0.293684:0.411727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por , , , denotamos con el radio de la circunferencia que es la distancia del centro :@0.293660:0.444081:0.930943:0.444081:0.930943:0.428368:0.293660:0.428368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.489386:0.444081:0.494669:0.444081:0.494669:0.428646:0.489386:0.428646:0.000000 0:@0.921674:0.447253:0.926911:0.447253:0.926911:0.438093:0.921674:0.438093:0.000000 a cualquier punto , , . Elegimos y calculamos || || o bien,:@0.293665:0.460723:0.799630:0.460723:0.799630:0.445010:0.293665:0.445010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.653934:0.460723:0.659216:0.460723:0.659216:0.445288:0.653934:0.445288:0.000000 5:@0.663100:0.460168:0.678434:0.460168:0.678434:0.446453:0.663100:0.446453:0.000000 2:@0.701886:0.460168:0.717219:0.460168:0.717219:0.446453:0.701886:0.446453:0.000000 0:@0.729480:0.463895:0.734717:0.463895:0.734717:0.454735:0.729480:0.454735:0.000000 r:@0.476454:0.495227:0.481737:0.495227:0.481737:0.479792:0.476454:0.479792:0.000000 2:@0.481670:0.489171:0.486907:0.489171:0.486907:0.480010:0.481670:0.480010:0.000000 || || ( ) ( ) .:@0.486861:0.495235:0.744117:0.495235:0.744117:0.479522:0.486861:0.479522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.490819:0.494680:0.506152:0.494680:0.506152:0.480964:0.490819:0.480964:0.000000 2:@0.529598:0.494680:0.544931:0.494680:0.544931:0.480964:0.529598:0.480964:0.000000 0:@0.557192:0.498407:0.562429:0.498407:0.562429:0.489246:0.557192:0.489246:0.000000 2:@0.570025:0.489171:0.575262:0.489171:0.575262:0.480010:0.570025:0.480010:0.000000 5:@0.579172:0.494680:0.594505:0.494680:0.594505:0.480964:0.579172:0.480964:0.000000 x:@0.603156:0.495235:0.610611:0.495235:0.610611:0.479799:0.603156:0.479799:0.000000 1:@0.610543:0.498407:0.615780:0.498407:0.615780:0.489246:0.610543:0.489246:0.000000 2:@0.619691:0.494680:0.635024:0.494680:0.635024:0.480964:0.619691:0.480964:0.000000 a:@0.638890:0.495235:0.648149:0.495235:0.648149:0.479799:0.638890:0.479799:0.000000 2:@0.652866:0.489171:0.658103:0.489171:0.658103:0.480010:0.652866:0.480010:0.000000 1:@0.662013:0.494680:0.677346:0.494680:0.677346:0.480964:0.662013:0.480964:0.000000 y:@0.685997:0.495235:0.693471:0.495235:0.693471:0.479799:0.685997:0.479799:0.000000 1:@0.693402:0.498407:0.698639:0.498407:0.698639:0.489246:0.693402:0.489246:0.000000 2:@0.702549:0.494680:0.717882:0.494680:0.717882:0.480964:0.702549:0.480964:0.000000 b:@0.721748:0.495235:0.731006:0.495235:0.731006:0.479799:0.721748:0.479799:0.000000 2:@0.735724:0.489171:0.740961:0.489171:0.740961:0.480010:0.735724:0.480010:0.000000 La ecuación cartesiana de la circunferencia que pasa por , , es::@0.293655:0.529739:0.773169:0.529745:0.773169:0.514032:0.293655:0.514026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( , ) tal que ( ) ( ) ( ) ( ) ,:@0.293660:0.564255:0.759275:0.564255:0.759275:0.548543:0.293660:0.548543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.298464:0.564255:0.320387:0.564255:0.320387:0.548820:0.298464:0.548820:0.000000:0.000000:0.000000 [:@0.329057:0.564117:0.344391:0.564117:0.344391:0.550068:0.329057:0.550068:0.000000 R:@0.348256:0.563395:0.361546:0.563395:0.361546:0.550498:0.348256:0.550498:0.000000 2:@0.361462:0.558191:0.366699:0.558191:0.366699:0.549031:0.361462:0.549031:0.000000 x:@0.429440:0.564255:0.436895:0.564255:0.436895:0.548820:0.429440:0.548820:0.000000 2:@0.440779:0.563701:0.456113:0.563701:0.456113:0.549985:0.440779:0.549985:0.000000 a:@0.459978:0.564255:0.469237:0.564255:0.469237:0.548820:0.459978:0.548820:0.000000 2:@0.473964:0.558191:0.479201:0.558191:0.479201:0.549031:0.473964:0.549031:0.000000 1:@0.483113:0.563701:0.498446:0.563701:0.498446:0.549985:0.483113:0.549985:0.000000 y:@0.507097:0.564255:0.514571:0.564255:0.514571:0.548820:0.507097:0.548820:0.000000 2:@0.518455:0.563701:0.533788:0.563701:0.533788:0.549985:0.518455:0.549985:0.000000 b:@0.537653:0.564255:0.546912:0.564255:0.546912:0.548820:0.537653:0.548820:0.000000 2:@0.551633:0.558191:0.556870:0.558191:0.556870:0.549031:0.551633:0.549031:0.000000 5 5:@0.560781:0.563701:0.609662:0.563701:0.609662:0.549985:0.560781:0.549985:0.000000:0.000000:0.000000 r:@0.579980:0.564255:0.585263:0.564255:0.585263:0.548820:0.579980:0.548820:0.000000 2:@0.585182:0.558191:0.590419:0.558191:0.590419:0.549031:0.585182:0.549031:0.000000 x:@0.618314:0.564255:0.625769:0.564255:0.625769:0.548820:0.618314:0.548820:0.000000 1:@0.625700:0.567428:0.630937:0.567428:0.630937:0.558267:0.625700:0.558267:0.000000 2:@0.634849:0.563701:0.650182:0.563701:0.650182:0.549985:0.634849:0.549985:0.000000 a:@0.654047:0.564255:0.663306:0.564255:0.663306:0.548820:0.654047:0.548820:0.000000 2:@0.668024:0.558191:0.673260:0.558191:0.673260:0.549031:0.668024:0.549031:0.000000 1:@0.677170:0.563701:0.692503:0.563701:0.692503:0.549985:0.677170:0.549985:0.000000 y:@0.701155:0.564255:0.708628:0.564255:0.708628:0.548820:0.701155:0.548820:0.000000 1:@0.708560:0.567428:0.713796:0.567428:0.713796:0.558267:0.708560:0.558267:0.000000 2:@0.717706:0.563701:0.733040:0.563701:0.733040:0.549985:0.717706:0.549985:0.000000 b:@0.736905:0.564255:0.746164:0.564255:0.746164:0.548820:0.736905:0.548820:0.000000 2:@0.750881:0.558191:0.756118:0.558191:0.756118:0.549031:0.750881:0.549031:0.000000 en la que ( , ) es desconocido. Simplificamos la escritura de esta ecuación::@0.293663:0.598759:0.879304:0.598766:0.879304:0.583053:0.293663:0.583047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.369483:0.598759:0.394995:0.598759:0.394995:0.583324:0.369483:0.583324:0.000000:0.000000:0.000000 [:@0.403665:0.598621:0.418998:0.598621:0.418998:0.584572:0.403665:0.584572:0.000000 R:@0.422864:0.597899:0.436154:0.597899:0.436154:0.585002:0.422864:0.585002:0.000000 2:@0.436070:0.592702:0.441307:0.592702:0.441307:0.583541:0.436070:0.583541:0.000000 x:@0.366215:0.633270:0.373670:0.633270:0.373670:0.617834:0.366215:0.617834:0.000000 2:@0.373594:0.627213:0.378831:0.627213:0.378831:0.618053:0.373594:0.618053:0.000000 2 2 2:@0.378784:0.633277:0.659782:0.633277:0.659782:0.617565:0.378784:0.617565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.382741:0.632723:0.398074:0.632723:0.398074:0.619007:0.382741:0.619007:0.000000 ax:@0.410831:0.633277:0.427471:0.633277:0.427471:0.617842:0.410831:0.617842:0.000000:0.000000 1:@0.431373:0.632723:0.446706:0.632723:0.446706:0.619007:0.431373:0.619007:0.000000 a:@0.450572:0.633277:0.459831:0.633277:0.459831:0.617842:0.450572:0.617842:0.000000 2:@0.459745:0.627213:0.464982:0.627213:0.464982:0.618053:0.459745:0.618053:0.000000 1:@0.468892:0.632723:0.484225:0.632723:0.484225:0.619007:0.468892:0.619007:0.000000 y:@0.488091:0.633277:0.495564:0.633277:0.495564:0.617842:0.488091:0.617842:0.000000 2:@0.495484:0.627213:0.500721:0.627213:0.500721:0.618053:0.495484:0.618053:0.000000 2:@0.504632:0.632723:0.519966:0.632723:0.519966:0.619007:0.504632:0.619007:0.000000 by:@0.532722:0.633277:0.549270:0.633277:0.549270:0.617842:0.532722:0.617842:0.000000:0.000000 1:@0.553172:0.632723:0.568506:0.632723:0.568506:0.619007:0.553172:0.619007:0.000000 b:@0.572371:0.633277:0.581630:0.633277:0.581630:0.617842:0.572371:0.617842:0.000000 2:@0.581543:0.627213:0.586780:0.627213:0.586780:0.618053:0.581543:0.618053:0.000000 5:@0.590690:0.632723:0.606023:0.632723:0.606023:0.619007:0.590690:0.619007:0.000000 x:@0.609888:0.633277:0.617343:0.633277:0.617343:0.617842:0.609888:0.617842:0.000000 1:@0.617263:0.636450:0.622500:0.636450:0.622500:0.627289:0.617263:0.627289:0.000000 2:@0.622457:0.627216:0.627694:0.627216:0.627694:0.618056:0.622457:0.618056:0.000000 2:@0.631601:0.632723:0.646934:0.632723:0.646934:0.619007:0.631601:0.619007:0.000000 ax:@0.659690:0.633277:0.676330:0.633277:0.676330:0.617842:0.659690:0.617842:0.000000:0.000000 1:@0.676270:0.636450:0.681507:0.636450:0.681507:0.627289:0.676270:0.627289:0.000000 2:@0.681459:0.633277:0.792053:0.633277:0.792053:0.617565:0.681459:0.617565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.685417:0.632723:0.700750:0.632723:0.700750:0.619007:0.685417:0.619007:0.000000 a:@0.704615:0.633277:0.713874:0.633277:0.713874:0.617842:0.704615:0.617842:0.000000 2:@0.713794:0.627213:0.719031:0.627213:0.719031:0.618053:0.713794:0.618053:0.000000 1:@0.722942:0.632723:0.738276:0.632723:0.738276:0.619007:0.722942:0.619007:0.000000 y:@0.742141:0.633277:0.749614:0.633277:0.749614:0.617842:0.742141:0.617842:0.000000 1:@0.749534:0.636450:0.754771:0.636450:0.754771:0.627289:0.749534:0.627289:0.000000 2:@0.754728:0.627216:0.759965:0.627216:0.759965:0.618056:0.754728:0.618056:0.000000 2:@0.763872:0.632723:0.779205:0.632723:0.779205:0.619007:0.763872:0.619007:0.000000 by:@0.791961:0.633277:0.808509:0.633277:0.808509:0.617842:0.791961:0.617842:0.000000:0.000000 1:@0.808447:0.627213:0.813684:0.627213:0.813684:0.618053:0.808447:0.618053:0.000000 ,:@0.813637:0.633277:0.854365:0.633277:0.854365:0.617565:0.813637:0.617565:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.817594:0.632723:0.832927:0.632723:0.832927:0.619007:0.817594:0.619007:0.000000 b:@0.836793:0.633277:0.846052:0.633277:0.846052:0.617842:0.836793:0.617842:0.000000 2:@0.845971:0.627213:0.851208:0.627213:0.851208:0.618053:0.845971:0.618053:0.000000 donde: :@0.293662:0.667781:0.349141:0.667781:0.349141:0.652069:0.293662:0.652069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.435214:0.701731:0.450547:0.701731:0.450547:0.688015:0.435214:0.688015:0.000000 2 2:@0.450455:0.702285:0.508088:0.702285:0.508088:0.686573:0.450455:0.686573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax:@0.459364:0.702285:0.476004:0.702285:0.476004:0.686850:0.459364:0.686850:0.000000:0.000000 1:@0.479906:0.701731:0.495240:0.701731:0.495240:0.688015:0.479906:0.688015:0.000000 ax:@0.507996:0.702285:0.524636:0.702285:0.524636:0.686850:0.507996:0.686850:0.000000:0.000000 1:@0.524562:0.705470:0.529799:0.705470:0.529799:0.696310:0.524562:0.696310:0.000000 2 2:@0.529753:0.702298:0.610426:0.702298:0.610426:0.686585:0.529753:0.686585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.533711:0.701743:0.549044:0.701743:0.549044:0.688028:0.533711:0.688028:0.000000 by:@0.561794:0.702298:0.578342:0.702298:0.578342:0.686863:0.561794:0.686863:0.000000:0.000000 1:@0.582244:0.701743:0.597577:0.701743:0.597577:0.688028:0.582244:0.688028:0.000000 by:@0.610333:0.702298:0.626882:0.702298:0.626882:0.686863:0.610333:0.686863:0.000000:0.000000 1:@0.626820:0.705470:0.632057:0.705470:0.632057:0.696310:0.626820:0.696310:0.000000 :@0.632011:0.702298:0.772801:0.702298:0.772801:0.686585:0.632011:0.686585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.635968:0.701743:0.651301:0.701743:0.651301:0.688028:0.635968:0.688028:0.000000 x:@0.655167:0.702298:0.662622:0.702298:0.662622:0.686863:0.655167:0.686863:0.000000 1:@0.662541:0.705470:0.667778:0.705470:0.667778:0.696310:0.662541:0.696310:0.000000 2:@0.667736:0.696237:0.672972:0.696237:0.672972:0.687077:0.667736:0.687077:0.000000 1:@0.676879:0.701743:0.692212:0.701743:0.692212:0.688028:0.676879:0.688028:0.000000 y:@0.696078:0.702298:0.703551:0.702298:0.703551:0.686863:0.696078:0.686863:0.000000 1:@0.703471:0.705470:0.708708:0.705470:0.708708:0.696310:0.703471:0.696310:0.000000 2:@0.708665:0.696237:0.713902:0.696237:0.713902:0.687077:0.708665:0.687077:0.000000 2:@0.717808:0.701743:0.733142:0.701743:0.733142:0.688028:0.717808:0.688028:0.000000 x:@0.737007:0.702298:0.744462:0.702298:0.744462:0.686863:0.737007:0.686863:0.000000 2:@0.744382:0.696234:0.749619:0.696234:0.749619:0.687074:0.744382:0.687074:0.000000 2:@0.753529:0.701743:0.768862:0.701743:0.768862:0.688028:0.753529:0.688028:0.000000 y:@0.772727:0.702298:0.780201:0.702298:0.780201:0.686863:0.772727:0.686863:0.000000 2:@0.780120:0.696234:0.785357:0.696234:0.785357:0.687074:0.780120:0.687074:0.000000 2( ) 2( ) .:@0.449645:0.736808:0.770925:0.736808:0.770925:0.721096:0.449645:0.721096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.463340:0.736808:0.470795:0.736808:0.470795:0.721373:0.463340:0.721373:0.000000 1:@0.470733:0.739981:0.475970:0.739981:0.475970:0.730820:0.470733:0.730820:0.000000 2:@0.479881:0.736254:0.495215:0.736254:0.495215:0.722538:0.479881:0.722538:0.000000 x a:@0.499080:0.736808:0.520525:0.736808:0.520525:0.721373:0.499080:0.721373:0.000000:0.000000:0.000000 1:@0.524408:0.736254:0.539742:0.736254:0.539742:0.722538:0.524408:0.722538:0.000000 y:@0.557302:0.736808:0.564776:0.736808:0.564776:0.721373:0.557302:0.721373:0.000000 1:@0.564694:0.739981:0.569930:0.739981:0.569930:0.730820:0.564694:0.730820:0.000000 2:@0.573840:0.736254:0.589174:0.736254:0.589174:0.722538:0.573840:0.722538:0.000000 y b:@0.593039:0.736808:0.614502:0.736808:0.614502:0.721373:0.593039:0.721373:0.000000:0.000000:0.000000 5:@0.618386:0.736254:0.633719:0.736254:0.633719:0.722538:0.618386:0.722538:0.000000 x:@0.637585:0.736808:0.645040:0.736808:0.645040:0.721373:0.637585:0.721373:0.000000 1:@0.644953:0.739981:0.650189:0.739981:0.650189:0.730820:0.644953:0.730820:0.000000 2:@0.650147:0.730747:0.655383:0.730747:0.655383:0.721587:0.650147:0.721587:0.000000 1:@0.659290:0.736254:0.674623:0.736254:0.674623:0.722538:0.659290:0.722538:0.000000 y:@0.678489:0.736808:0.685962:0.736808:0.685962:0.721373:0.678489:0.721373:0.000000 1:@0.685882:0.739981:0.691119:0.739981:0.691119:0.730820:0.685882:0.730820:0.000000 2:@0.691076:0.730747:0.696313:0.730747:0.696313:0.721587:0.691076:0.721587:0.000000 2:@0.700219:0.736254:0.715553:0.736254:0.715553:0.722538:0.700219:0.722538:0.000000 x:@0.719418:0.736808:0.726873:0.736808:0.726873:0.721373:0.719418:0.721373:0.000000 2:@0.726793:0.730745:0.732030:0.730745:0.732030:0.721584:0.726793:0.721584:0.000000 2:@0.735941:0.736254:0.751274:0.736254:0.751274:0.722538:0.735941:0.722538:0.000000 y:@0.755140:0.736808:0.762613:0.736808:0.762613:0.721373:0.755140:0.721373:0.000000 2:@0.762533:0.730745:0.767770:0.730745:0.767770:0.721584:0.762533:0.721584:0.000000 Ponemos || || , || || con ( , ) :@0.293662:0.771312:0.706806:0.771320:0.706806:0.755607:0.293662:0.755600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.389492:0.765256:0.394728:0.765256:0.394728:0.756096:0.389492:0.756096:0.000000 5:@0.398714:0.770765:0.414047:0.770765:0.414047:0.757050:0.398714:0.757050:0.000000 x:@0.417986:0.771320:0.425441:0.771320:0.425441:0.755885:0.417986:0.755885:0.000000 1:@0.425366:0.774492:0.430603:0.774492:0.430603:0.765332:0.425366:0.765332:0.000000 2:@0.430560:0.765259:0.435797:0.765259:0.435797:0.756099:0.430560:0.756099:0.000000 1:@0.439777:0.770765:0.455110:0.770765:0.455110:0.757050:0.439777:0.757050:0.000000 y:@0.459049:0.771320:0.466523:0.771320:0.466523:0.755885:0.459049:0.755885:0.000000 1:@0.466449:0.774492:0.471686:0.774492:0.471686:0.765332:0.466449:0.765332:0.000000 2:@0.471643:0.765259:0.476880:0.765259:0.476880:0.756099:0.471643:0.756099:0.000000 2:@0.507668:0.765256:0.512905:0.765256:0.512905:0.756096:0.507668:0.756096:0.000000 5:@0.516888:0.770765:0.532221:0.770765:0.532221:0.757050:0.516888:0.757050:0.000000 x:@0.536161:0.771320:0.543616:0.771320:0.543616:0.755885:0.536161:0.755885:0.000000 2:@0.543542:0.765256:0.548779:0.765256:0.548779:0.756096:0.543542:0.756096:0.000000 1:@0.552762:0.770765:0.568096:0.770765:0.568096:0.757050:0.552762:0.757050:0.000000 y:@0.572035:0.771320:0.579508:0.771320:0.579508:0.755885:0.572035:0.755885:0.000000 2:@0.579434:0.765256:0.584671:0.765256:0.584671:0.756096:0.579434:0.756096:0.000000 5:@0.632735:0.770765:0.648068:0.770765:0.648068:0.757050:0.632735:0.757050:0.000000 x y:@0.656793:0.771320:0.678790:0.771320:0.678790:0.755885:0.656793:0.755885:0.000000:0.000000:0.000000 [:@0.687534:0.771181:0.702867:0.771181:0.702867:0.757133:0.687534:0.757133:0.000000 R:@0.706806:0.770460:0.720096:0.770460:0.720096:0.757563:0.706806:0.757563:0.000000 2:@0.720037:0.765256:0.725274:0.765256:0.725274:0.756096:0.720037:0.756096:0.000000 . La ecuación precedente se :@0.725227:0.771320:0.931097:0.771320:0.931097:0.755607:0.725227:0.755607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresa como: :@0.293650:0.787962:0.403258:0.787962:0.403258:0.772249:0.293650:0.772249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( ) (|| || || || ).:@0.293650:0.824130:0.582698:0.824134:0.582698:0.808421:0.293650:0.808417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.298454:0.824130:0.305909:0.824130:0.305909:0.808695:0.298454:0.808695:0.000000 1:@0.305846:0.827306:0.311083:0.827306:0.311083:0.818146:0.305846:0.818146:0.000000 2:@0.314992:0.823579:0.330326:0.823579:0.330326:0.809864:0.314992:0.809864:0.000000 x a:@0.334191:0.824134:0.360820:0.824134:0.360820:0.808699:0.334191:0.808699:0.000000:0.000000:0.000000 2:@0.341566:0.827306:0.346803:0.827306:0.346803:0.818146:0.341566:0.818146:0.000000 1:@0.364704:0.823579:0.380037:0.823579:0.380037:0.809864:0.364704:0.809864:0.000000 y:@0.388688:0.824134:0.396162:0.824134:0.396162:0.808699:0.388688:0.808699:0.000000 1:@0.396093:0.827306:0.401330:0.827306:0.401330:0.818146:0.396093:0.818146:0.000000 2:@0.405240:0.823579:0.420573:0.823579:0.420573:0.809864:0.405240:0.809864:0.000000 y b:@0.424439:0.824134:0.451086:0.824134:0.451086:0.808699:0.424439:0.808699:0.000000:0.000000:0.000000 2:@0.431832:0.827306:0.437069:0.827306:0.437069:0.818146:0.431832:0.818146:0.000000 5:@0.454970:0.823579:0.470303:0.823579:0.470303:0.809864:0.454970:0.809864:0.000000 1:@0.475544:0.818114:0.484527:0.818114:0.484527:0.802401:0.475544:0.802401:0.000000 2:@0.475544:0.832732:0.484527:0.832732:0.484527:0.817020:0.475544:0.817020:0.000000 2:@0.517477:0.818070:0.522714:0.818070:0.522714:0.808910:0.517477:0.808910:0.000000 2:@0.526626:0.823579:0.541959:0.823579:0.541959:0.809864:0.526626:0.809864:0.000000 2:@0.569500:0.818070:0.574736:0.818070:0.574736:0.808910:0.569500:0.808910:0.000000 Para calcular las coordenadas , de , utilizamos los puntos y . Escribimos :@0.293667:0.858638:0.930943:0.858644:0.930943:0.842932:0.293667:0.842925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.531562:0.858638:0.560646:0.858638:0.560646:0.843203:0.531562:0.843203:0.000000:0.000000:0.000000 0:@0.602815:0.861817:0.608052:0.861817:0.608052:0.852656:0.602815:0.852656:0.000000 ( 2, y2) en la ecuación precedente y obtenemos: :@0.302062:0.875286:0.709898:0.875286:0.709898:0.859573:0.302062:0.859573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 5:@0.306013:0.874731:0.351640:0.874731:0.351640:0.861016:0.306013:0.861016:0.000000:0.000000:0.000000 x:@0.360291:0.875286:0.367746:0.875286:0.367746:0.859851:0.360291:0.859851:0.000000 ( ) ( ) (|| || || || ).:@0.465765:0.911454:0.754807:0.911460:0.754807:0.895747:0.465765:0.895742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.470569:0.911454:0.478024:0.911454:0.478024:0.896019:0.470569:0.896019:0.000000 1:@0.477957:0.914632:0.483194:0.914632:0.483194:0.905471:0.477957:0.905471:0.000000 2:@0.487104:0.910905:0.502437:0.910905:0.502437:0.897189:0.487104:0.897189:0.000000 x a:@0.506302:0.911460:0.532931:0.911460:0.532931:0.896024:0.506302:0.896024:0.000000:0.000000:0.000000 2:@0.513677:0.914632:0.518914:0.914632:0.518914:0.905471:0.513677:0.905471:0.000000 1:@0.536815:0.910905:0.552148:0.910905:0.552148:0.897189:0.536815:0.897189:0.000000 y:@0.560800:0.911460:0.568273:0.911460:0.568273:0.896024:0.560800:0.896024:0.000000 1:@0.568204:0.914632:0.573441:0.914632:0.573441:0.905471:0.568204:0.905471:0.000000 2:@0.577351:0.910905:0.592684:0.910905:0.592684:0.897189:0.577351:0.897189:0.000000 y b:@0.596550:0.911460:0.623197:0.911460:0.623197:0.896024:0.596550:0.896024:0.000000:0.000000:0.000000 2:@0.603943:0.914632:0.609180:0.914632:0.609180:0.905471:0.603943:0.905471:0.000000 5:@0.627081:0.910905:0.642414:0.910905:0.642414:0.897189:0.627081:0.897189:0.000000 1:@0.647655:0.905439:0.656638:0.905439:0.656638:0.889726:0.647655:0.889726:0.000000 2:@0.647655:0.920058:0.656638:0.920058:0.656638:0.904345:0.647655:0.904345:0.000000 2:@0.689588:0.905396:0.694825:0.905396:0.694825:0.896235:0.689588:0.896235:0.000000 2:@0.698737:0.910905:0.714070:0.910905:0.714070:0.897189:0.698737:0.897189:0.000000 2:@0.741611:0.905396:0.746848:0.905396:0.746848:0.896235:0.741611:0.896235:0.000000 Figura 3.5:@0.073089:0.936879:0.124415:0.936879:0.124415:0.925451:0.073089:0.925451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.243494:0.918945:0.249729:0.918945:0.249729:0.906316:0.243494:0.906316:0.000000 0:@0.144928:0.889033:0.152686:0.889033:0.152686:0.875463:0.144928:0.875463:0.000000 y:@0.140651:0.815913:0.147646:0.815913:0.147646:0.802343:0.140651:0.802343:0.000000 x:@0.267559:0.891560:0.274379:0.891560:0.274379:0.877990:0.267559:0.877990:0.000000 u:@0.186620:0.877678:0.194241:0.877678:0.194241:0.865049:0.186620:0.865049:0.000000 :@0.188970:0.878120:0.193985:0.878120:0.193985:0.865707:0.188970:0.865707:0.000000 v:@0.136213:0.871414:0.142538:0.871414:0.142538:0.858785:0.136213:0.858785:0.000000 :@0.138020:0.871857:0.143035:0.871857:0.143035:0.859444:0.138020:0.859444:0.000000 v:@0.196108:0.851399:0.202434:0.851399:0.202434:0.838770:0.196108:0.838770:0.000000 :@0.197916:0.851841:0.202931:0.851841:0.202931:0.839428:0.197916:0.839428:0.000000 a:@0.195546:0.885153:0.202280:0.885153:0.202280:0.873927:0.195546:0.873927:0.000000 b:@0.147152:0.864073:0.153885:0.864073:0.153885:0.852847:0.147152:0.852847:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000