Assignment 3 Unit Circle

100 days ago by renaldorini

x=8+0*I;y=5+3*I;z=2+0*I; w1=y-x;w2=z-y;p=y.norm()-x.norm();q=z.norm()-y.norm(); a=(p*w2-q*w1)/(w1.conjugate()*w2-w1*w2.conjugate()) print(a) r=(y-a).abs(); print(r) 
        
5
3
5
3
x=-4/3+0*I;y=-5/3-(1/3)*I;z=-2+0*I; w1=y-x;w2=z-y;p=y.norm()-x.norm();q=z.norm()-y.norm(); a=(p*w2-q*w1)/(w1.conjugate()*w2-w1*w2.conjugate()) print(a) r=(y-a).abs(); print(r) 
        
-5/3
1/3
-5/3
1/3
x=-1+0*I;y=-2+I;z=-3+0*I; w1=y-x;w2=z-y;p=y.norm()-x.norm();q=z.norm()-y.norm(); a=(p*w2-q*w1)/(w1.conjugate()*w2-w1*w2.conjugate()) print(a) r=(y-a).abs(); print(r) 
        
-2
1
-2
1
x=3+0*I;y=2+I;z=1+0*I; w1=y-x;w2=z-y;p=y.norm()-x.norm();q=z.norm()-y.norm(); a=(p*w2-q*w1)/(w1.conjugate()*w2-w1*w2.conjugate()) print(a) r=(y-a).abs(); print(r) 
        
2
1
2
1
x=1+I;y=1-I;z=0+0*I; w1=y-x;w2=z-y;p=y.norm()-x.norm();q=z.norm()-y.norm(); a=(p*w2-q*w1)/(w1.conjugate()*w2-w1*w2.conjugate()) print(a) r=(y-a).abs(); print(r) 
        
1
1
1
1
x=1+0*I;y=0+1*I;z=-1+0*I; w1=y-x;w2=z-y;p=y.norm()-x.norm();q=z.norm()-y.norm(); a=(p*w2-q*w1)/(w1.conjugate()*w2-w1*w2.conjugate()) print(a) r=(y-a).abs(); print(r) 
        
0
1
0
1