At least one hand is operating a circular saw and there’s often a spring loaded guard that snaps into place when the saw isn’t sawing. I’m sure plenty of people hurt themselves with circular saws, but as more of a hands-on tool you are very aware when using it. It is not nearly as precise or easy to use with large jobs as a table saw, however.
On a circular saw, the hand in motion maneuvers the cutting tool. On a table saw, it pushes the thing being cut. Either saw's blade sometimes grabs the material and kicks it back. If your hand is on that material, it can also be sent in an unexpected direction.
(This is just one scenario. Both tools are capable of unwanted removal of body parts.)
