Show that the centers of the family of circles all of which are tangent to a given circle and also to a given line form a parabola.
Proof.Incomplete.
Show that the centers of the family of circles all of which are tangent to a given circle and also to a given line form a parabola.
Proof.Incomplete.
Let r_0 be the radius of the given circle, and L be the line to which the family of circles should be tangent. This is a similar problem like the previous one, with a difference that the actual directrix of the prabola is at the distance r_0 from L.