In A.P. French's Newtonian Mechanics, page $662$, one can read,
The kinetic energy of a system is equal to the kinetic energy associated with the linear velocity of the center of mass, $C$, plus the energy of rotation about the center of mass:$$K=\frac{1}{2}Mv_{c}^{2}+\frac{1}{2}I_{c}\bigg ( \frac{d\theta}{dt}\bigg )^{2}$$ The term representing the rotational energy about the center of mass in this equation embodies an important feature. If the object has angular velocity $d\theta /dt$ about its true axis of rotation through $O$, every point in it is also has the angular velocity $d\theta /dt$ about a parallel axis through $C$, or through any point for that matter. One can properly speak of the angular velocity of a rotating object without reference to a specific axis of rotation. Any line drawn on a rotating disk, for example, has the same rate of angular displacement as one of the radii.
What does the author mean when he says even if an object is not rotating about an axis, it nevertheless has an angular velocity about that axis similar to the one about the true axis of rotation? Aren't these two assertions in contradiction with each other?
