Construct the circles with center at
(cos(t),sin(t)) passing through the point (1,0)
with t ranging over [0,2p].

>

> restart;

> x:=cos(t);

> y:=sin(t);

> r:=((x-1)^2+y^2)^(1/2);

> m:=[x+r*sin(s),y+r*cos(s),s=-Pi..Pi];

> t:=k*Pi/50;

> w:=evalf(m);

> plot([w$k=1..100],color=blue,scaling=constrained,axes=none);

>