Rotation of axes

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Is it possible to rotate the axes along a point that is NOT lying on the axes? For example, consider the point C(u,v) where $u,v \neq 0$. Can I rotate the axes about this point? In my mind, this seems very possible. Also, the way I visualize it, I would say that the coordinates of point C with respect to the new axes will remain (u,v). Am I correct in saying so?