Plane wave velocity is 1/[tex]\sqrt{\mu\epsilon}[/tex] and [tex]\eta[/tex] = [tex]\sqrt{\mu/\epsilon}[/tex]

Transmission line velocity is 1/[tex]\sqrt{LC}[/tex] and Z0=[tex]\sqrt{L/C}[/tex].

From that the book just to say the velocity of both are the same and [tex]\mu[/tex] [tex]\epsilon[/tex] = LC

I see they both are propagation constant, but I don't see they are the same!! Can anyone explain to me how they relate together?

Thanks