210:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.2 Propiedades de la circunferencia:@0.293660:0.136836:0.576939:0.136836:0.576939:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todos los radios de una circunferencia son iguales.:@0.293660:0.163491:0.658032:0.163491:0.658032:0.147057:0.293660:0.147057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El diámetro es el mayor de todos los segmentos que pueden trazarse dentro de la :@0.293660:0.190853:0.931096:0.190853:0.931096:0.174419:0.293660:0.174419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia.:@0.293660:0.207495:0.398858:0.207495:0.398858:0.191061:0.293660:0.191061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una cuerda que pasa por el centro de la circunferencia es un diámetro.:@0.293660:0.234857:0.804982:0.234857:0.804982:0.218423:0.293660:0.218423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El arco más grande de una circunferencia que une dos puntos se llama arco mayor y, el :@0.293660:0.262219:0.931228:0.262219:0.931228:0.245785:0.293660:0.245785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más pequeño, se llama arco menor.:@0.293660:0.278860:0.550476:0.278860:0.550476:0.262427:0.293660:0.262427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La tangente a una circunferencia es perpendicular al radio en el punto de tangencia.:@0.293660:0.306222:0.903835:0.306222:0.903835:0.289789:0.293660:0.289789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ángulos en una circunferencia son fundamentales en la geometría y hay varios tipos :@0.293660:0.333584:0.931392:0.333584:0.931392:0.317150:0.293660:0.317150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ángulos importantes que se forman en y alrededor de una circunferencia. Aquí se :@0.293660:0.350226:0.931460:0.350226:0.931460:0.333792:0.293660:0.333792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describen los tipos principales de ángulos y sus propiedades, junto con ejemplos y :@0.293660:0.366868:0.930669:0.366868:0.930669:0.350434:0.293660:0.350434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficos para ilustrarlos.:@0.293660:0.383510:0.462359:0.383510:0.462359:0.367076:0.293660:0.367076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.3 Propiedades de los ángulos en una circunferencia:@0.293660:0.411884:0.709966:0.411884:0.709966:0.394937:0.293660:0.394937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo central.:@0.293660:0.758312:0.403242:0.758312:0.403242:0.741878:0.293660:0.741878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La medida de un ángulo central es igual a la medida del arco que abarca.:@0.403183:0.758312:0.926656:0.758312:0.926656:0.741878:0.403183:0.741878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo inscrito:@0.293660:0.782096:0.404742:0.782096:0.404742:0.765662:0.293660:0.765662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La medida de un ángulo inscrito es la mitad de la medida del arco que :@0.404288:0.782096:0.931166:0.782096:0.931166:0.765662:0.404288:0.765662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abarca.:@0.293660:0.798737:0.345084:0.798737:0.345084:0.782304:0.293660:0.782304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo interior. :@0.293660:0.822521:0.410283:0.822521:0.410283:0.806088:0.293660:0.806088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La medida de un ángulo interior es la mitad de la suma de las medidas :@0.410565:0.822521:0.931133:0.822521:0.931133:0.806088:0.410565:0.806088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los arcos interceptados por el ángulo y su ángulo opuesto.:@0.293660:0.839163:0.739062:0.839163:0.739062:0.822729:0.293660:0.822729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo exterior.:@0.293660:0.862947:0.413698:0.862947:0.413698:0.846513:0.293660:0.846513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La medida de un ángulo exterior es la mitad de la diferencia de las :@0.413786:0.862947:0.931214:0.862947:0.931214:0.846513:0.413786:0.846513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidas de los arcos interceptados por el ángulo.:@0.293660:0.879589:0.653623:0.879589:0.653623:0.863155:0.293660:0.863155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Longitud de la circunferencia.:@0.293660:0.903373:0.518556:0.903373:0.518556:0.886939:0.293660:0.886939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La longitud de una circunferencia, también conocida :@0.518799:0.903373:0.930824:0.903373:0.930824:0.886939:0.518799:0.886939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como perímetro del círculo, se calcula usando la fórmula  =2 =:@0.293660:0.920015:0.762235:0.920015:0.762235:0.903581:0.293660:0.903581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.706535:0.920015:0.714155:0.920015:0.714155:0.903609:0.706535:0.903609:0.000000
p p:@0.733870:0.919460:0.774439:0.919460:0.774439:0.905744:0.733870:0.905744:0.000000:0.000000:0.000000
r:@0.746055:0.920015:0.751338:0.920015:0.751338:0.903609:0.746055:0.903609:0.000000
d:@0.774347:0.920015:0.783606:0.920015:0.783606:0.903609:0.774347:0.903609:0.000000
.:@0.783532:0.920015:0.786735:0.920015:0.786735:0.903581:0.783532:0.903581:0.000000
1. Ángulo central:@0.379093:0.438346:0.447350:0.438346:0.447350:0.426699:0.379093:0.426699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Ángulo inscrito:@0.378297:0.536194:0.448146:0.536194:0.448146:0.524546:0.378297:0.524546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Ángulo semiinscrito:@0.380659:0.629127:0.469502:0.629127:0.469502:0.617480:0.380659:0.617480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.466711:0.449974:0.472386:0.449974:0.472386:0.438326:0.466711:0.438326:0.000000
A:@0.474616:0.545286:0.480291:0.545286:0.480291:0.533638:0.474616:0.533638:0.000000
A:@0.433104:0.638219:0.438779:0.638219:0.438779:0.626572:0.433104:0.626572:0.000000
B:@0.465641:0.510068:0.471068:0.510068:0.471068:0.498421:0.465641:0.498421:0.000000
B:@0.473547:0.605675:0.478974:0.605675:0.478974:0.594028:0.473547:0.594028:0.000000
B:@0.471172:0.695031:0.476599:0.695031:0.476599:0.683383:0.471172:0.683383:0.000000
C:@0.398323:0.576188:0.403189:0.576188:0.403189:0.564541:0.398323:0.564541:0.000000
O xº:@0.431056:0.479913:0.456849:0.478909:0.456849:0.467262:0.431056:0.468266:0.000000:0.000000:0.000000:0.000000
xº:@0.422381:0.575184:0.430757:0.575184:0.430757:0.563537:0.422381:0.563537:0.000000:0.000000
xº:@0.450548:0.649128:0.458923:0.649128:0.458923:0.637481:0.450548:0.637481:0.000000:0.000000
2xº:@0.493691:0.575184:0.507089:0.575184:0.507089:0.563537:0.493691:0.563537:0.000000:0.000000:0.000000
2xº:@0.480345:0.659626:0.493743:0.659626:0.493743:0.647978:0.480345:0.647978:0.000000:0.000000:0.000000
xº:@0.487272:0.478093:0.495648:0.478093:0.495648:0.466446:0.487272:0.466446:0.000000:0.000000
x = mAB:@0.528486:0.480220:0.563985:0.480220:0.563985:0.468573:0.528486:0.468573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x =:@0.526949:0.573668:0.541208:0.573668:0.541208:0.562021:0.526949:0.562021:0.000000:0.000000:0.000000
 mAB:@0.543366:0.569464:0.564605:0.569464:0.564605:0.557816:0.543366:0.557816:0.000000:0.000000:0.000000:0.000000
2:@0.551844:0.579302:0.556866:0.579302:0.556866:0.567655:0.551844:0.567655:0.000000
x =:@0.526949:0.666821:0.541208:0.666821:0.541208:0.655173:0.526949:0.655173:0.000000:0.000000:0.000000
 mAB:@0.543366:0.662615:0.564605:0.662615:0.564605:0.650968:0.543366:0.650968:0.000000:0.000000:0.000000:0.000000
2:@0.551844:0.672454:0.556866:0.672454:0.556866:0.660806:0.551844:0.660806:0.000000
A:@0.641423:0.504475:0.647098:0.504475:0.647098:0.492827:0.641423:0.492827:0.000000
A:@0.695591:0.535446:0.701266:0.535446:0.701266:0.523798:0.695591:0.523798:0.000000
A:@0.718721:0.606706:0.724396:0.606706:0.724396:0.595059:0.718721:0.595059:0.000000
A:@0.679583:0.688464:0.685258:0.688464:0.685258:0.676817:0.679583:0.676817:0.000000
C:@0.679100:0.641550:0.683967:0.641550:0.683967:0.629903:0.679100:0.629903:0.000000
C:@0.739882:0.724428:0.744748:0.724428:0.744748:0.712781:0.739882:0.712781:0.000000
D:@0.694338:0.726660:0.700144:0.726660:0.700144:0.715012:0.694338:0.715012:0.000000
5. Ángulo interior:@0.612579:0.438345:0.682688:0.438345:0.682688:0.426698:0.612579:0.426698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. Ángulo exterior:@0.613818:0.521145:0.685415:0.521145:0.685415:0.509497:0.613818:0.509497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.639192:0.456440:0.644620:0.456440:0.644620:0.444793:0.639192:0.444793:0.000000
B:@0.704814:0.589279:0.710241:0.589279:0.710241:0.577632:0.704814:0.577632:0.000000
B:@0.734755:0.664117:0.740182:0.664117:0.740182:0.652470:0.734755:0.652470:0.000000
B:@0.737716:0.673947:0.743144:0.673947:0.743144:0.662299:0.737716:0.662299:0.000000
C:@0.695199:0.446611:0.700065:0.446611:0.700065:0.434964:0.695199:0.434964:0.000000
D:@0.694730:0.513625:0.700535:0.513625:0.700535:0.501978:0.694730:0.501978:0.000000
P:@0.612409:0.566043:0.617614:0.566043:0.617614:0.554396:0.612409:0.554396:0.000000
P:@0.612409:0.606922:0.617614:0.606922:0.617614:0.595275:0.612409:0.595275:0.000000
P:@0.612709:0.715710:0.617914:0.715710:0.617914:0.704063:0.612709:0.704063:0.000000
xº:@0.678605:0.479283:0.686980:0.479283:0.686980:0.467635:0.678605:0.467635:0.000000:0.000000
xº:@0.636701:0.563871:0.645076:0.563871:0.645076:0.552224:0.636701:0.552224:0.000000:0.000000
xº:@0.636701:0.611454:0.645076:0.611454:0.645076:0.599806:0.636701:0.599806:0.000000:0.000000
xº:@0.639375:0.710638:0.647751:0.710638:0.647751:0.698991:0.639375:0.698991:0.000000:0.000000
nº:@0.722883:0.478103:0.732107:0.478103:0.732107:0.466456:0.722883:0.466456:0.000000:0.000000
nº:@0.674260:0.565070:0.683484:0.565070:0.683484:0.553423:0.674260:0.553423:0.000000:0.000000
nº:@0.697391:0.622256:0.706614:0.622256:0.706614:0.610608:0.697391:0.610608:0.000000:0.000000
nº:@0.689381:0.705134:0.698604:0.705134:0.698604:0.693487:0.689381:0.693487:0.000000:0.000000
mº:@0.623446:0.478103:0.635474:0.478103:0.635474:0.466456:0.623446:0.466456:0.000000:0.000000
mº:@0.738095:0.561503:0.750123:0.561503:0.750123:0.549855:0.738095:0.549855:0.000000:0.000000
mº:@0.738095:0.636557:0.750123:0.636557:0.750123:0.624910:0.738095:0.624910:0.000000:0.000000
mº:@0.739582:0.699325:0.751610:0.699325:0.751610:0.687678:0.739582:0.687678:0.000000:0.000000
x =:@0.753442:0.476578:0.767701:0.476578:0.767701:0.464931:0.753442:0.464931:0.000000:0.000000:0.000000
 m+n:@0.768875:0.472371:0.792071:0.472371:0.792071:0.460724:0.768875:0.460724:0.000000:0.000000:0.000000:0.000000
2:@0.778335:0.482211:0.783357:0.482211:0.783357:0.470564:0.778335:0.470564:0.000000
x =:@0.757789:0.552529:0.772048:0.552529:0.772048:0.540882:0.757789:0.540882:0.000000:0.000000:0.000000
 m-n:@0.775297:0.548322:0.794357:0.548322:0.794357:0.536675:0.775297:0.536675:0.000000:0.000000:0.000000:0.000000
2:@0.782684:0.558162:0.787707:0.558162:0.787707:0.546515:0.782684:0.546515:0.000000
x =:@0.757789:0.625575:0.772048:0.625575:0.772048:0.613928:0.757789:0.613928:0.000000:0.000000:0.000000
 m-n:@0.775297:0.621369:0.794357:0.621369:0.794357:0.609721:0.775297:0.609721:0.000000:0.000000:0.000000:0.000000
2:@0.782684:0.631210:0.787707:0.631210:0.787707:0.619562:0.782684:0.619562:0.000000
x =:@0.758679:0.696389:0.772938:0.696389:0.772938:0.684742:0.758679:0.684742:0.000000:0.000000:0.000000
 m-n:@0.776187:0.692182:0.795247:0.692182:0.795247:0.680535:0.776187:0.680535:0.000000:0.000000:0.000000:0.000000
2:@0.783573:0.702023:0.788595:0.702023:0.788595:0.690376:0.783573:0.690376:0.000000
a:@0.612112:0.529620:0.616861:0.529620:0.616861:0.517973:0.612112:0.517973:0.000000
b:@0.611891:0.596408:0.617096:0.596408:0.617096:0.584761:0.611891:0.584761:0.000000
c:@0.613704:0.672809:0.617644:0.672809:0.617644:0.661162:0.613704:0.661162:0.000000
DBA 6 (Ev. 3) Compara figuras geométricas y conjetura sobre posibles regularidades.:@0.475736:0.971366:0.917656:0.971366:0.917656:0.959415:0.475736:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostración informal :@0.078581:0.189182:0.234387:0.189182:0.234387:0.174243:0.078581:0.174243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la propiedad de :@0.078581:0.204311:0.207224:0.204311:0.207224:0.189371:0.078581:0.189371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la tangente a :@0.078581:0.219440:0.198087:0.219440:0.198087:0.204500:0.078581:0.204500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una circunferencia es :@0.078581:0.234569:0.221702:0.234569:0.221702:0.219629:0.078581:0.219629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular al radio en el :@0.078581:0.249698:0.262781:0.249698:0.262781:0.234758:0.078581:0.234758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto de tangencia: :@0.078581:0.264827:0.216043:0.264827:0.216043:0.249887:0.078581:0.249887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina una recta que :@0.078581:0.279956:0.230801:0.279956:0.230801:0.265016:0.078581:0.265016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\roza\ la circunferencia :@0.078581:0.295085:0.230603:0.295085:0.230603:0.280145:0.078581:0.280145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un solo punto (la :@0.078581:0.310214:0.214806:0.310214:0.214806:0.295274:0.078581:0.295274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente). :@0.078581:0.325343:0.150095:0.325343:0.150095:0.310403:0.078581:0.310403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si intentaras acercar esta :@0.078581:0.340472:0.244032:0.340472:0.244032:0.325532:0.078581:0.325532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta al centro del círculo, :@0.078581:0.355601:0.250757:0.355601:0.250757:0.340661:0.078581:0.340661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inevitablemente cruzaría :@0.078581:0.370730:0.245481:0.370730:0.245481:0.355790:0.078581:0.355790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la circunferencia en otro :@0.078581:0.385859:0.241241:0.385859:0.241241:0.370919:0.078581:0.370919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto. :@0.078581:0.400988:0.125575:0.400988:0.125575:0.386048:0.078581:0.386048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La única posición en :@0.078581:0.416116:0.217271:0.416116:0.217271:0.401177:0.078581:0.401177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la que la recta toca la :@0.078581:0.431245:0.220899:0.431245:0.220899:0.416306:0.078581:0.416306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia en un solo :@0.078581:0.446374:0.247827:0.446374:0.247827:0.431435:0.078581:0.431435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto es cuando forma un :@0.078581:0.461503:0.258935:0.461503:0.258935:0.446563:0.078581:0.446563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo recto con el radio :@0.078581:0.476632:0.247807:0.476632:0.247807:0.461692:0.078581:0.461692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en ese punto.:@0.078581:0.491761:0.168328:0.491761:0.168328:0.476821:0.078581:0.476821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.147984:0.187141:0.147984:0.187141:0.131037:0.078581:0.131037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.164626:0.176057:0.164626:0.176057:0.147679:0.078581:0.147679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000