143:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.564328:0.157756:0.564328:0.157756:0.548750:0.102121:0.548750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos el vector director.:@0.157756:0.564328:0.365600:0.564328:0.365600:0.549429:0.157756:0.549429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.201534:0.587539:0.208499:0.587539:0.208499:0.572814:0.201534:0.572814:0.000000
AB:@0.226594:0.587539:0.243377:0.587539:0.243377:0.572814:0.226594:0.572814:0.000000:0.000000
v:@0.201534:0.611288:0.208499:0.611288:0.208499:0.596563:0.201534:0.596563:0.000000
AB:@0.226594:0.611288:0.243377:0.611288:0.243377:0.596563:0.226594:0.596563:0.000000:0.000000
=:@0.213312:0.587166:0.222418:0.587166:0.222418:0.571918:0.213312:0.571918:0.000000
=:@0.247474:0.587166:0.256579:0.587166:0.256579:0.571918:0.247474:0.571918:0.000000
−:@0.276401:0.587166:0.251109:0.587166:0.251109:0.571918:0.276401:0.571918:0.000000
−:@0.310798:0.587166:0.285506:0.587166:0.285506:0.571918:0.310798:0.571918:0.000000
−:@0.329224:0.587166:0.338329:0.587166:0.338329:0.571918:0.329224:0.571918:0.000000
(:@0.322339:0.588732:0.305621:0.588732:0.305621:0.569245:0.322339:0.569245:0.000000
):@0.344579:0.588732:0.327861:0.588732:0.327861:0.569245:0.344579:0.569245:0.000000
−−:@0.361293:0.587166:0.387646:0.587166:0.387646:0.571918:0.361293:0.571918:0.000000:0.000000
(:@0.259757:0.590287:0.126330:0.590287:0.126330:0.566516:0.259757:0.566516:0.000000
):@0.398706:0.590287:0.265280:0.590287:0.265280:0.566516:0.398706:0.566516:0.000000
=:@0.213312:0.610920:0.222418:0.610920:0.222418:0.595672:0.213312:0.595672:0.000000
=:@0.247474:0.610920:0.256579:0.610920:0.256579:0.595672:0.247474:0.595672:0.000000
−:@0.295806:0.610920:0.304911:0.610920:0.304911:0.595672:0.295806:0.595672:0.000000
(:@0.259769:0.612504:0.211059:0.612504:0.211059:0.593017:0.259769:0.593017:0.000000
):@0.314001:0.612504:0.265291:0.612504:0.265291:0.593017:0.314001:0.593017:0.000000
52 2:@0.266118:0.587539:0.308376:0.587539:0.308376:0.572789:0.266118:0.572789:0.000000:0.000000:0.000000:0.000000
1 ,:@0.338262:0.587539:0.359107:0.587539:0.359107:0.572789:0.338262:0.572789:0.000000:0.000000:0.000000
13:@0.370354:0.587539:0.398184:0.587539:0.398184:0.572789:0.370354:0.572789:0.000000:0.000000
33 4:@0.266119:0.611289:0.312954:0.611289:0.312954:0.596539:0.266119:0.596539:0.000000:0.000000:0.000000:0.000000
1:@0.349525:0.590924:0.354215:0.590924:0.354215:0.582376:0.349525:0.582376:0.000000
,:@0.295719:0.587539:0.298605:0.587539:0.298605:0.572789:0.295719:0.572789:0.000000
,,:@0.273893:0.611289:0.293596:0.611289:0.293596:0.596539:0.273893:0.596539:0.000000:0.000000
Paso 2. :@0.515259:0.564328:0.570894:0.564328:0.570894:0.548750:0.515259:0.548750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la ecuación vectorial de la recta.:@0.570894:0.564328:0.875347:0.564328:0.875347:0.549429:0.570894:0.549429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (t) (,:@0.630472:0.588473:0.692533:0.588473:0.692533:0.573723:0.630472:0.573723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(t) (, 213:@0.635431:0.610679:0.709379:0.610681:0.709379:0.595931:0.635431:0.595929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.634685:0.588473:0.639445:0.588473:0.639445:0.573748:0.634685:0.573748:0.000000
x yz:@0.675583:0.588473:0.721921:0.588473:0.721921:0.573748:0.675583:0.573748:0.000000:0.000000:0.000000:0.000000
ta bc:@0.747910:0.588473:0.795376:0.588473:0.795376:0.573748:0.747910:0.573748:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.629718:0.610681:0.634478:0.610681:0.634478:0.595956:0.629718:0.595956:0.000000
t:@0.727768:0.610681:0.732611:0.610681:0.732611:0.595956:0.727768:0.595956:0.000000
:@0.634379:0.578368:0.641179:0.578368:0.641179:0.563294:0.634379:0.563294:0.000000
:@0.629435:0.600573:0.636235:0.600573:0.636235:0.585500:0.629435:0.585500:0.000000
=:@0.657564:0.588100:0.666669:0.588100:0.666669:0.572852:0.657564:0.572852:0.000000
+:@0.736342:0.588100:0.745447:0.588100:0.745447:0.572852:0.736342:0.572852:0.000000
(:@0.755330:0.589675:0.760852:0.589675:0.760852:0.570188:0.755330:0.570188:0.000000
):@0.797074:0.589675:0.802596:0.589675:0.802596:0.570188:0.797074:0.570188:0.000000
=:@0.652617:0.610308:0.661722:0.610308:0.661722:0.595060:0.652617:0.595060:0.000000
−:@0.682205:0.610308:0.691310:0.610308:0.691310:0.595060:0.682205:0.595060:0.000000
+:@0.716224:0.610308:0.725330:0.610308:0.725330:0.595060:0.716224:0.595060:0.000000
−:@0.766775:0.610308:0.775880:0.610308:0.775880:0.595060:0.766775:0.595060:0.000000
(:@0.735212:0.611881:0.740734:0.611881:0.740734:0.592394:0.735212:0.592394:0.000000
):@0.784966:0.611881:0.790489:0.611881:0.790489:0.592394:0.784966:0.592394:0.000000
,:@0.709814:0.588473:0.712700:0.588473:0.712700:0.573723:0.709814:0.573723:0.000000
):@0.729467:0.588473:0.733862:0.588473:0.733862:0.573723:0.729467:0.573723:0.000000
,,:@0.770498:0.588473:0.786536:0.588473:0.786536:0.573723:0.770498:0.573723:0.000000:0.000000
,):@0.696712:0.610679:0.713728:0.610679:0.713728:0.595929:0.696712:0.595929:0.000000:0.000000
,, 34:@0.749336:0.610679:0.783911:0.610681:0.783911:0.595931:0.749336:0.595929:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.683006:0.590277:0.687697:0.590277:0.687697:0.581729:0.683006:0.581729:0.000000
0:@0.703171:0.590277:0.707862:0.590277:0.707862:0.581729:0.703171:0.581729:0.000000
0:@0.722539:0.590277:0.727229:0.590277:0.727229:0.581729:0.722539:0.581729:0.000000
3:@0.741570:0.610681:0.749663:0.610681:0.749663:0.595931:0.741570:0.595931:0.000000
Paso 3. :@0.102121:0.636086:0.157756:0.636086:0.157756:0.620508:0.102121:0.620508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la ecuación paramétrica de la recta.:@0.157756:0.636086:0.485327:0.636086:0.485327:0.621187:0.157756:0.621187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.274487:0.658710:0.281204:0.658710:0.281204:0.643985:0.274487:0.643985:0.000000
t:@0.327924:0.658710:0.332766:0.658710:0.332766:0.643985:0.327924:0.643985:0.000000
y:@0.274719:0.677381:0.281453:0.677381:0.281453:0.662656:0.274719:0.662656:0.000000
t:@0.335403:0.677381:0.340246:0.677381:0.340246:0.662656:0.335403:0.662656:0.000000
z:@0.274205:0.696052:0.280723:0.696052:0.280723:0.681327:0.274205:0.681327:0.000000
t:@0.328106:0.696052:0.332949:0.696052:0.332949:0.681327:0.328106:0.681327:0.000000
=+:@0.286030:0.658337:0.317940:0.658337:0.317940:0.643089:0.286030:0.643089:0.000000:0.000000
=− +:@0.286266:0.677008:0.325423:0.677008:0.325423:0.661760:0.286266:0.661760:0.000000:0.000000:0.000000:0.000000
=−:@0.285453:0.695678:0.317362:0.695678:0.317362:0.680431:0.285453:0.680431:0.000000:0.000000
:@0.265054:0.659469:0.273247:0.659469:0.273247:0.644221:0.265054:0.644221:0.000000
:@0.265054:0.679136:0.273247:0.679136:0.273247:0.663888:0.265054:0.663888:0.000000
:@0.265054:0.669838:0.273247:0.669838:0.273247:0.654590:0.265054:0.654590:0.000000
:@0.265054:0.698840:0.273247:0.698840:0.273247:0.683592:0.265054:0.683592:0.000000
:@0.265054:0.690986:0.273247:0.690986:0.273247:0.675738:0.265054:0.675738:0.000000
23:@0.298328:0.658710:0.328761:0.658710:0.328761:0.643960:0.298328:0.643960:0.000000:0.000000
13:@0.308129:0.677381:0.336241:0.677381:0.336241:0.662631:0.308129:0.662631:0.000000:0.000000
34:@0.297764:0.696052:0.328429:0.696052:0.328429:0.681302:0.297764:0.681302:0.000000:0.000000
Paso 4. :@0.515259:0.636086:0.570894:0.636086:0.570894:0.620508:0.515259:0.620508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la ecuación cartesiana de la recta.:@0.570894:0.636086:0.886002:0.636086:0.886002:0.621187:0.570894:0.621187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.623123:0.665605:0.627966:0.665605:0.627966:0.650880:0.623123:0.650880:0.000000
x:@0.647481:0.657578:0.654198:0.657578:0.654198:0.642853:0.647481:0.642853:0.000000
t:@0.689556:0.665605:0.694399:0.665605:0.694399:0.650880:0.689556:0.650880:0.000000
y:@0.714150:0.657578:0.720884:0.657578:0.720884:0.642853:0.714150:0.642853:0.000000
t:@0.753163:0.665605:0.758006:0.665605:0.758006:0.650880:0.753163:0.650880:0.000000
z:@0.777238:0.657578:0.783756:0.657578:0.783756:0.642853:0.777238:0.642853:0.000000
x:@0.625996:0.691243:0.632713:0.691243:0.632713:0.676518:0.625996:0.676518:0.000000
y:@0.676033:0.691243:0.682766:0.691243:0.682766:0.676518:0.676033:0.676518:0.000000
z:@0.722487:0.691243:0.729005:0.691243:0.729005:0.676518:0.722487:0.676518:0.000000
=:@0.632597:0.665228:0.641702:0.665228:0.641702:0.649980:0.632597:0.649980:0.000000
−:@0.658271:0.657205:0.667376:0.657205:0.667376:0.641957:0.658271:0.641957:0.000000
=:@0.699026:0.665232:0.708132:0.665232:0.708132:0.649984:0.699026:0.649984:0.000000
+:@0.724941:0.657205:0.734046:0.657205:0.734046:0.641957:0.724941:0.641957:0.000000
=:@0.762634:0.665232:0.771739:0.665232:0.771739:0.649984:0.762634:0.649984:0.000000
−:@0.787745:0.657205:0.796851:0.657205:0.796851:0.641957:0.787745:0.641957:0.000000
−:@0.783222:0.675133:0.792327:0.675133:0.792327:0.659885:0.783222:0.659885:0.000000
−:@0.636778:0.690866:0.645883:0.690866:0.645883:0.675618:0.636778:0.675618:0.000000
=:@0.660909:0.698895:0.670014:0.698895:0.670014:0.683647:0.660909:0.683647:0.000000
+:@0.686814:0.690866:0.695920:0.690866:0.695920:0.675618:0.686814:0.675618:0.000000
=:@0.707877:0.698895:0.716982:0.698895:0.716982:0.683647:0.707877:0.683647:0.000000
−:@0.732987:0.690866:0.742092:0.690866:0.742092:0.675618:0.732987:0.675618:0.000000
−:@0.728474:0.708797:0.737579:0.708797:0.737579:0.693549:0.728474:0.693549:0.000000
2:@0.669813:0.657577:0.677907:0.657577:0.677907:0.642827:0.669813:0.642827:0.000000
3:@0.657988:0.675506:0.666082:0.675506:0.666082:0.660756:0.657988:0.660756:0.000000
1:@0.735729:0.657578:0.743823:0.657578:0.743823:0.642828:0.735729:0.642828:0.000000
3:@0.723009:0.675506:0.731103:0.675506:0.731103:0.660756:0.723009:0.660756:0.000000
3:@0.799290:0.657578:0.807383:0.657578:0.807383:0.642828:0.799290:0.642828:0.000000
4:@0.792269:0.675506:0.800362:0.675506:0.800362:0.660756:0.792269:0.660756:0.000000
2:@0.648328:0.691240:0.656422:0.691240:0.656422:0.676490:0.648328:0.676490:0.000000
3:@0.636503:0.709171:0.644597:0.709171:0.644597:0.694421:0.636503:0.694421:0.000000
1:@0.697613:0.691243:0.705706:0.691243:0.705706:0.676493:0.697613:0.676493:0.000000
3:@0.684891:0.709171:0.692984:0.709171:0.692984:0.694421:0.684891:0.694421:0.000000
3:@0.744541:0.691243:0.752634:0.691243:0.752634:0.676493:0.744541:0.676493:0.000000
4:@0.737520:0.709171:0.745614:0.709171:0.745614:0.694421:0.737520:0.694421:0.000000
;:@0.680604:0.665605:0.683490:0.665605:0.683490:0.650855:0.680604:0.650855:0.000000
;:@0.744207:0.665605:0.747093:0.665605:0.747093:0.650855:0.744207:0.650855:0.000000
Ejemplos paso a paso:@0.096359:0.495857:0.251252:0.495857:0.251252:0.480493:0.096359:0.480493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.523460:0.110585:0.523460:0.110585:0.506559:0.096359:0.506559:0.000000:0.000000
  Dados los puntos  (2, –1, 3),  (5, 2, –1), encontremos la ecuación de la recta en sus formas vectorial, :@0.110585:0.523460:0.854890:0.523460:0.854890:0.507071:0.110585:0.507071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.256622:0.523460:0.266518:0.523460:0.266518:0.507098:0.256622:0.507098:0.000000
B:@0.334203:0.523460:0.343048:0.523460:0.343048:0.507098:0.334203:0.507098:0.000000
paramétrica y cartesiana o simétrica.:@0.124848:0.540056:0.390975:0.540056:0.390975:0.523667:0.124848:0.523667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.743030:0.110585:0.743030:0.110585:0.726129:0.096359:0.726129:0.000000:0.000000
  Dada la ecuación paramétrica de la recta vamos a obtener :@0.110585:0.743030:0.554739:0.743030:0.554739:0.726641:0.110585:0.726641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios puntos y graficamos en el espacio tridimensional.:@0.124848:0.759626:0.533492:0.759626:0.533492:0.743237:0.124848:0.743237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.294049:0.781679:0.301512:0.781679:0.301512:0.765318:0.294049:0.765318:0.000000
t:@0.353423:0.781679:0.358804:0.781679:0.358804:0.765318:0.353423:0.765318:0.000000
y:@0.294307:0.802425:0.301789:0.802425:0.301789:0.786063:0.294307:0.786063:0.000000
t:@0.361734:0.802425:0.367115:0.802425:0.367115:0.786063:0.361734:0.786063:0.000000
z:@0.293736:0.823170:0.300978:0.823170:0.300978:0.806809:0.293736:0.806809:0.000000
t:@0.353626:0.823170:0.359006:0.823170:0.359006:0.806809:0.353626:0.806809:0.000000
=+:@0.306875:0.781264:0.342329:0.781264:0.342329:0.764322:0.306875:0.764322:0.000000:0.000000
=− +:@0.307138:0.802010:0.350645:0.802010:0.350645:0.785068:0.307138:0.785068:0.000000:0.000000:0.000000:0.000000
=−:@0.306235:0.822755:0.341689:0.822755:0.341689:0.805813:0.306235:0.805813:0.000000:0.000000
:@0.283579:0.782522:0.292682:0.782522:0.292682:0.765579:0.283579:0.765579:0.000000
:@0.283579:0.804367:0.292682:0.804367:0.292682:0.787425:0.283579:0.787425:0.000000
:@0.283579:0.794036:0.292682:0.794036:0.292682:0.777094:0.283579:0.777094:0.000000
:@0.283579:0.826252:0.292682:0.826252:0.292682:0.809310:0.283579:0.809310:0.000000
:@0.283579:0.817530:0.292682:0.817530:0.292682:0.800588:0.283579:0.800588:0.000000
23:@0.320540:0.781679:0.354354:0.781679:0.354354:0.765290:0.320540:0.765290:0.000000:0.000000
13:@0.331430:0.802425:0.362665:0.802425:0.362665:0.786036:0.331430:0.786036:0.000000:0.000000
34:@0.319913:0.823170:0.353986:0.823170:0.353986:0.806781:0.319913:0.806781:0.000000:0.000000
cción y expresión:@0.117728:0.469758:0.242599:0.469758:0.242599:0.454394:0.117728:0.454394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.470544:0.108221:0.470544:0.108221:0.453408:0.096132:0.453408:0.000000
Ecuación vectorial de la recta que pasa por dos puntos:@0.098496:0.119484:0.567850:0.119484:0.567850:0.101047:0.098496:0.101047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conocen dos puntos que pertenecen a la recta en :@0.098496:0.142894:0.504837:0.142894:0.504837:0.126505:0.098496:0.126505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.505551:0.143884:0.518856:0.143884:0.518856:0.127136:0.505551:0.127136:0.000000
3:@0.519476:0.135351:0.524688:0.135351:0.524688:0.125853:0.519476:0.125853:0.000000
, entonces se puede construir una única recta.:@0.525255:0.142894:0.861449:0.142894:0.861449:0.126505:0.525255:0.126505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.117728:0.090870:0.291399:0.090870:0.291399:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.095893:0.091656:0.108460:0.091656:0.108460:0.074520:0.095893:0.074520:0.000000
Sean: :@0.098491:0.166063:0.141556:0.166063:0.141556:0.149674:0.098491:0.149674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ax yz:@0.145172:0.166218:0.211512:0.166218:0.211512:0.149856:0.145172:0.149856:0.000000:0.000000:0.000000:0.000000:0.000000
xy z:@0.270075:0.166218:0.320916:0.166218:0.320916:0.149856:0.270075:0.149856:0.000000:0.000000:0.000000:0.000000
1:@0.172658:0.168221:0.177869:0.168221:0.177869:0.158723:0.172658:0.158723:0.000000
1:@0.192554:0.168221:0.197766:0.168221:0.197766:0.158723:0.192554:0.158723:0.000000
1:@0.211553:0.168221:0.216765:0.168221:0.216765:0.158723:0.211553:0.158723:0.000000
2:@0.278354:0.168221:0.283566:0.168221:0.283566:0.158723:0.278354:0.158723:0.000000
2:@0.300450:0.168221:0.305662:0.168221:0.305662:0.158723:0.300450:0.158723:0.000000
2:@0.321650:0.168221:0.326861:0.168221:0.326861:0.158723:0.321650:0.158723:0.000000
,,:@0.178206:0.166218:0.201314:0.166218:0.201314:0.149829:0.178206:0.149829:0.000000:0.000000
,:@0.285418:0.166218:0.288625:0.166218:0.288625:0.149829:0.285418:0.149829:0.000000
,:@0.307513:0.166218:0.310719:0.166218:0.310719:0.149829:0.307513:0.149829:0.000000
(:@0.156585:0.167553:0.162722:0.167553:0.162722:0.145901:0.156585:0.145901:0.000000
):@0.218042:0.167553:0.224178:0.167553:0.224178:0.145901:0.218042:0.145901:0.000000
(:@0.261605:0.167553:0.267741:0.167553:0.267741:0.145901:0.261605:0.145901:0.000000
):@0.329658:0.167553:0.335794:0.167553:0.335794:0.145901:0.329658:0.145901:0.000000
  y  B:@0.226579:0.166218:0.260135:0.166218:0.260135:0.149829:0.226579:0.149829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El vector director se calcula como::@0.098496:0.189783:0.347488:0.189783:0.347488:0.173394:0.098496:0.173394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.181903:0.209954:0.189643:0.209954:0.189643:0.193593:0.181903:0.193593:0.000000
AB:@0.209748:0.209954:0.228396:0.209954:0.228396:0.193593:0.209748:0.193593:0.000000:0.000000
x:@0.255098:0.209954:0.262561:0.209954:0.262561:0.193593:0.255098:0.193593:0.000000
xy:@0.287715:0.209954:0.315098:0.209954:0.315098:0.193593:0.287715:0.193593:0.000000:0.000000
yz:@0.340492:0.209954:0.367046:0.209954:0.367046:0.193593:0.340492:0.193593:0.000000:0.000000
z:@0.391794:0.209954:0.399036:0.209954:0.399036:0.193593:0.391794:0.193593:0.000000
:@0.182898:0.198724:0.190454:0.198724:0.190454:0.181975:0.182898:0.181975:0.000000
 :@0.209490:0.198724:0.228249:0.198724:0.228249:0.181975:0.209490:0.181975:0.000000:0.000000:0.000000
:@0.216142:0.198724:0.223697:0.198724:0.223697:0.181975:0.216142:0.181975:0.000000
=:@0.194987:0.209539:0.205104:0.209539:0.205104:0.192597:0.194987:0.192597:0.000000
=:@0.232948:0.209539:0.243065:0.209539:0.243065:0.192597:0.232948:0.192597:0.000000
−:@0.273470:0.209539:0.283587:0.209539:0.283587:0.192597:0.273470:0.192597:0.000000
−:@0.325971:0.209539:0.336087:0.209539:0.336087:0.192597:0.325971:0.192597:0.000000
−:@0.377863:0.209539:0.387980:0.209539:0.387980:0.192597:0.377863:0.192597:0.000000
(:@0.246610:0.211289:0.252746:0.211289:0.252746:0.189637:0.246610:0.189637:0.000000
):@0.405548:0.211289:0.411684:0.211289:0.411684:0.189637:0.405548:0.189637:0.000000
2:@0.263362:0.211958:0.268574:0.211958:0.268574:0.202460:0.263362:0.202460:0.000000
1:@0.295294:0.211958:0.300506:0.211958:0.300506:0.202460:0.295294:0.202460:0.000000
2:@0.315874:0.211958:0.321085:0.211958:0.321085:0.202460:0.315874:0.202460:0.000000
1:@0.348073:0.211958:0.353285:0.211958:0.353285:0.202460:0.348073:0.202460:0.000000
2:@0.367749:0.211958:0.372961:0.211958:0.372961:0.202460:0.367749:0.202460:0.000000
1:@0.399051:0.211958:0.404263:0.211958:0.404263:0.202460:0.399051:0.202460:0.000000
,:@0.300845:0.209954:0.304052:0.209954:0.304052:0.193565:0.300845:0.193565:0.000000
,:@0.353622:0.209954:0.356829:0.209954:0.356829:0.193565:0.353622:0.193565:0.000000
Se emplea uno de los puntos y se escribe la ecuación :@0.530749:0.163955:0.931494:0.163955:0.931494:0.147566:0.530749:0.147566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectorial de la recta.:@0.530749:0.180551:0.676583:0.180551:0.676583:0.164162:0.530749:0.164162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.534412:0.201499:0.539701:0.201499:0.539701:0.185138:0.534412:0.185138:0.000000
r:@0.573516:0.201499:0.578805:0.201499:0.578805:0.185138:0.573516:0.185138:0.000000
tv r:@0.600641:0.201499:0.635820:0.201499:0.635820:0.185138:0.600641:0.185138:0.000000:0.000000:0.000000:0.000000
x yz:@0.675973:0.201499:0.722411:0.201499:0.722411:0.185138:0.675973:0.185138:0.000000:0.000000:0.000000:0.000000
tv:@0.748781:0.201499:0.762602:0.201499:0.762602:0.185138:0.748781:0.185138:0.000000:0.000000
v:@0.534081:0.225149:0.541820:0.225149:0.541820:0.208787:0.534081:0.208787:0.000000
x:@0.569314:0.225149:0.576777:0.225149:0.576777:0.208787:0.569314:0.208787:0.000000
xy:@0.601931:0.225149:0.629315:0.225149:0.629315:0.208787:0.601931:0.208787:0.000000:0.000000
yz:@0.654708:0.225149:0.681262:0.225149:0.681262:0.208787:0.654708:0.208787:0.000000:0.000000
z:@0.706011:0.225149:0.713253:0.225149:0.713253:0.208787:0.706011:0.208787:0.000000
:@0.534097:0.190269:0.541653:0.190269:0.541653:0.173520:0.534097:0.173520:0.000000
:@0.574362:0.190269:0.583944:0.190269:0.583944:0.173520:0.574362:0.173520:0.000000:0.000000
 :@0.607697:0.190269:0.637753:0.190269:0.637753:0.173520:0.607697:0.173520:0.000000:0.000000:0.000000
:@0.755837:0.190269:0.763392:0.190269:0.763392:0.173520:0.755837:0.173520:0.000000
:@0.535093:0.213922:0.542648:0.213922:0.542648:0.197174:0.535093:0.197174:0.000000
(t):@0.540750:0.201503:0.556266:0.201503:0.556266:0.185114:0.540750:0.185114:0.000000:0.000000:0.000000
 (t) ( ,, ):@0.625885:0.201503:0.733215:0.201499:0.733215:0.185110:0.625885:0.185114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=+:@0.559854:0.201084:0.597926:0.201084:0.597926:0.184142:0.559854:0.184142:0.000000:0.000000
=:@0.655973:0.201084:0.666090:0.201084:0.666090:0.184142:0.655973:0.184142:0.000000
+:@0.735967:0.201084:0.746084:0.201084:0.746084:0.184142:0.735967:0.184142:0.000000
=:@0.547186:0.224738:0.557303:0.224738:0.557303:0.207795:0.547186:0.207795:0.000000
−:@0.587708:0.224738:0.597825:0.224738:0.597825:0.207795:0.587708:0.207795:0.000000
−:@0.640209:0.224738:0.650326:0.224738:0.650326:0.207795:0.640209:0.207795:0.000000
−:@0.692083:0.224738:0.702199:0.224738:0.702199:0.207795:0.692083:0.207795:0.000000
(:@0.560849:0.226487:0.566986:0.226487:0.566986:0.204835:0.560849:0.204835:0.000000
0:@0.577392:0.203503:0.582604:0.203503:0.582604:0.194005:0.577392:0.194005:0.000000
1:@0.683559:0.203503:0.688770:0.203503:0.688770:0.194005:0.683559:0.194005:0.000000
1:@0.703454:0.203503:0.708666:0.203503:0.708666:0.194005:0.703454:0.194005:0.000000
1:@0.722453:0.203503:0.727665:0.203503:0.727665:0.194005:0.722453:0.194005:0.000000
2:@0.577605:0.227156:0.582817:0.227156:0.582817:0.217658:0.577605:0.217658:0.000000
1:@0.609537:0.227156:0.614749:0.227156:0.614749:0.217658:0.609537:0.217658:0.000000
2:@0.630117:0.227156:0.635329:0.227156:0.635329:0.217658:0.630117:0.217658:0.000000
1:@0.662316:0.227156:0.667528:0.227156:0.667528:0.217658:0.662316:0.217658:0.000000
2:@0.681999:0.227156:0.687210:0.227156:0.687210:0.217658:0.681999:0.217658:0.000000
1:@0.713301:0.227156:0.718512:0.227156:0.718512:0.217658:0.713301:0.217658:0.000000
;:@0.615923:0.201499:0.619129:0.201499:0.619129:0.185110:0.615923:0.185110:0.000000
,:@0.615094:0.225149:0.618300:0.225149:0.618300:0.208760:0.615094:0.208760:0.000000
,:@0.667870:0.225149:0.671077:0.225149:0.671077:0.208760:0.667870:0.208760:0.000000
) ):@0.719788:0.226487:0.725924:0.226487:0.725924:0.204835:0.719788:0.204835:0.000000:0.000000:0.000000
Ecuación cartesiana o simétrica de la recta en  3:@0.096359:0.276976:0.512463:0.276976:0.512463:0.258539:0.096359:0.258539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.491355:0.276040:0.505869:0.276040:0.505869:0.262009:0.491355:0.262009:0.000000
A partir de la ecuación paramétrica de la recta y si el vector director no tiene componentes nulas :@0.096359:0.300386:0.807769:0.300386:0.807769:0.283997:0.096359:0.283997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se puede obtener la ecuación cartesiana de la recta, despejando   e igualando los términos:@0.096359:0.316982:0.761495:0.316982:0.761495:0.300593:0.096359:0.300593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.570863:0.316982:0.576244:0.316982:0.576244:0.300621:0.570863:0.300621:0.000000
x:@0.241899:0.343549:0.249362:0.343549:0.249362:0.327187:0.241899:0.327187:0.000000
x:@0.269798:0.343549:0.277261:0.343549:0.277261:0.327187:0.269798:0.327187:0.000000
at:@0.301899:0.343549:0.316494:0.343549:0.316494:0.327187:0.301899:0.327187:0.000000:0.000000
t:@0.342477:0.343549:0.347858:0.343549:0.347858:0.327187:0.342477:0.327187:0.000000
x:@0.369547:0.334614:0.377010:0.334614:0.377010:0.318253:0.369547:0.318253:0.000000
x:@0.395770:0.334614:0.403233:0.334614:0.403233:0.318253:0.395770:0.318253:0.000000
a:@0.385155:0.354544:0.394424:0.354544:0.394424:0.338183:0.385155:0.338183:0.000000
y:@0.242175:0.380946:0.249657:0.380946:0.249657:0.364585:0.242175:0.364585:0.000000
y:@0.270333:0.380946:0.277814:0.380946:0.277814:0.364585:0.270333:0.364585:0.000000
bt:@0.302176:0.380946:0.316770:0.380946:0.316770:0.364585:0.302176:0.364585:0.000000:0.000000
t:@0.342753:0.380946:0.348134:0.380946:0.348134:0.364585:0.342753:0.364585:0.000000
y:@0.370081:0.372025:0.377563:0.372025:0.377563:0.355664:0.370081:0.355664:0.000000
y:@0.396580:0.372025:0.404062:0.372025:0.404062:0.355664:0.396580:0.355664:0.000000
b:@0.385561:0.391941:0.394830:0.391941:0.394830:0.375580:0.385561:0.375580:0.000000
x:@0.506040:0.372025:0.513504:0.372025:0.513504:0.355664:0.506040:0.355664:0.000000
x:@0.532263:0.372025:0.539726:0.372025:0.539726:0.355664:0.532263:0.355664:0.000000
a:@0.521649:0.391941:0.530918:0.391941:0.530918:0.375580:0.521649:0.375580:0.000000
y:@0.570077:0.372025:0.577558:0.372025:0.577558:0.355664:0.570077:0.355664:0.000000
y:@0.596575:0.372025:0.604057:0.372025:0.604057:0.355664:0.596575:0.355664:0.000000
b:@0.585556:0.391941:0.594825:0.391941:0.594825:0.375580:0.585556:0.375580:0.000000
=:@0.254761:0.343120:0.264878:0.343120:0.264878:0.326178:0.254761:0.326178:0.000000
+:@0.288517:0.343120:0.298634:0.343120:0.298634:0.326178:0.288517:0.326178:0.000000
⇒=:@0.321082:0.343120:0.363134:0.343120:0.363134:0.326178:0.321082:0.326178:0.000000:0.000000
−:@0.381543:0.334186:0.391660:0.334186:0.391660:0.317243:0.381543:0.317243:0.000000
=:@0.255019:0.380517:0.265136:0.380517:0.265136:0.363575:0.255019:0.363575:0.000000
+:@0.289051:0.380517:0.299168:0.380517:0.299168:0.363575:0.289051:0.363575:0.000000
⇒=:@0.321340:0.380517:0.363392:0.380517:0.363392:0.363575:0.321340:0.363575:0.000000:0.000000
−:@0.382059:0.371597:0.392176:0.371597:0.392176:0.354654:0.382059:0.354654:0.000000
⇒:@0.453872:0.380517:0.472060:0.380517:0.472060:0.363575:0.453872:0.363575:0.000000
−:@0.518000:0.371597:0.528117:0.371597:0.528117:0.354654:0.518000:0.354654:0.000000
=:@0.553252:0.380517:0.563369:0.380517:0.563369:0.363575:0.553252:0.363575:0.000000
−:@0.582036:0.371597:0.592153:0.371597:0.592153:0.354654:0.582036:0.354654:0.000000
=:@0.617528:0.380517:0.627644:0.380517:0.627644:0.363575:0.617528:0.363575:0.000000
0:@0.278074:0.345542:0.283286:0.345542:0.283286:0.336044:0.278074:0.336044:0.000000
0:@0.404030:0.336629:0.409241:0.336629:0.409241:0.327131:0.404030:0.327131:0.000000
0:@0.278597:0.382950:0.283809:0.382950:0.283809:0.373452:0.278597:0.373452:0.000000
0:@0.404820:0.374021:0.410032:0.374021:0.410032:0.364523:0.404820:0.364523:0.000000
0:@0.540516:0.374021:0.545727:0.374021:0.545727:0.364523:0.540516:0.364523:0.000000
0:@0.604797:0.374021:0.610008:0.374021:0.610008:0.364523:0.604797:0.364523:0.000000
;:@0.414763:0.343549:0.417970:0.343549:0.417970:0.327160:0.414763:0.327160:0.000000
;       :@0.415556:0.380960:0.449721:0.380960:0.449721:0.364571:0.415556:0.364571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      :@0.476441:0.380960:0.500655:0.380960:0.500655:0.364571:0.476441:0.364571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z zz:@0.633749:0.372034:0.666587:0.372034:0.666587:0.355673:0.633749:0.355673:0.000000:0.000000:0.000000:0.000000
b:@0.648933:0.391950:0.658203:0.391950:0.658203:0.375588:0.648933:0.375588:0.000000
z:@0.241572:0.432735:0.248814:0.432735:0.248814:0.416374:0.241572:0.416374:0.000000
z:@0.268845:0.432735:0.276087:0.432735:0.276087:0.416374:0.268845:0.416374:0.000000
ct:@0.300633:0.432735:0.313772:0.432735:0.313772:0.416374:0.300633:0.416374:0.000000:0.000000
t:@0.339718:0.432735:0.345099:0.432735:0.345099:0.416374:0.339718:0.416374:0.000000
−:@0.645414:0.371619:0.655531:0.371619:0.655531:0.354677:0.645414:0.354677:0.000000
≠:@0.749935:0.380540:0.760052:0.380540:0.760052:0.363598:0.749935:0.363598:0.000000
=:@0.254084:0.432320:0.264201:0.432320:0.264201:0.415378:0.254084:0.415378:0.000000
+:@0.287214:0.432320:0.297330:0.432320:0.297330:0.415378:0.287214:0.415378:0.000000
⇒ =:@0.318323:0.432320:0.360383:0.432324:0.360383:0.415382:0.318323:0.415378:0.000000:0.000000:0.000000
0:@0.667306:0.374029:0.672517:0.374029:0.672517:0.364531:0.667306:0.364531:0.000000
0:@0.276815:0.434737:0.282027:0.434737:0.282027:0.425239:0.276815:0.425239:0.000000
ecuación cartesiana:@0.547993:0.404968:0.631636:0.404968:0.631636:0.395470:0.547993:0.395470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     a, b, c:@0.683941:0.380953:0.745158:0.380953:0.745158:0.364564:0.683941:0.364564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.763935:0.380953:0.772928:0.380953:0.772928:0.364564:0.763935:0.364564:0.000000
;:@0.678037:0.380953:0.681244:0.380953:0.681244:0.364564:0.678037:0.364564:0.000000
=:@0.350267:0.432324:0.360383:0.432324:0.360383:0.415382:0.350267:0.415382:0.000000
−:@0.378166:0.423390:0.388283:0.423390:0.388283:0.406448:0.378166:0.406448:0.000000
zz:@0.366483:0.423805:0.399321:0.423805:0.399321:0.407443:0.366483:0.407443:0.000000:0.000000
c:@0.382239:0.443734:0.389905:0.443734:0.389905:0.427373:0.382239:0.427373:0.000000
0:@0.400053:0.425824:0.405265:0.425824:0.405265:0.416326:0.400053:0.416326:0.000000
.:@0.410208:0.432739:0.413415:0.432739:0.413415:0.416350:0.410208:0.416350:0.000000
t:@0.118249:0.851378:0.123828:0.851378:0.123828:0.836013:0.118249:0.836013:0.000000
y:@0.188308:0.851378:0.196215:0.851378:0.196215:0.836013:0.188308:0.836013:0.000000
x:@0.283277:0.851378:0.291184:0.851378:0.291184:0.836013:0.283277:0.836013:0.000000
x:@0.378247:0.851378:0.386154:0.851378:0.386154:0.836013:0.378247:0.836013:0.000000
x:@0.485093:0.851378:0.493001:0.851378:0.493001:0.836013:0.485093:0.836013:0.000000
0:@0.116926:0.872764:0.125101:0.872764:0.125101:0.857865:0.116926:0.857865:0.000000
2:@0.188157:0.872764:0.196332:0.872764:0.196332:0.857865:0.188157:0.857865:0.000000
–1:@0.278938:0.872764:0.295490:0.872764:0.295490:0.857865:0.278938:0.857865:0.000000:0.000000
3:@0.378096:0.872764:0.386271:0.872764:0.386271:0.857865:0.378096:0.857865:0.000000
(2, –1, 3):@0.461556:0.872764:0.516504:0.872764:0.516504:0.857865:0.461556:0.857865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.116909:0.894151:0.125084:0.894151:0.125084:0.879252:0.116909:0.879252:0.000000
8:@0.188140:0.894151:0.196316:0.894151:0.196316:0.879252:0.188140:0.879252:0.000000
5:@0.283110:0.894151:0.291285:0.894151:0.291285:0.879252:0.283110:0.879252:0.000000
–5:@0.373891:0.894151:0.390442:0.894151:0.390442:0.879252:0.373891:0.879252:0.000000:0.000000
(8, 5, –5):@0.461540:0.894151:0.516487:0.894151:0.516487:0.879252:0.461540:0.879252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.112704:0.915538:0.129256:0.915538:0.129256:0.900639:0.112704:0.900639:0.000000:0.000000
–1:@0.183936:0.915538:0.200487:0.915538:0.200487:0.900639:0.183936:0.900639:0.000000:0.000000
–4:@0.278905:0.915538:0.295456:0.915538:0.295456:0.900639:0.278905:0.900639:0.000000:0.000000
7:@0.378062:0.915538:0.386238:0.915538:0.386238:0.900639:0.378062:0.900639:0.000000
(–1, –4, 7):@0.457335:0.915538:0.520659:0.915538:0.520659:0.900639:0.457335:0.900639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000