A table saw is usually made stationary and a hand saw is portable.
When we use the table saw we are usually in our shop and making a project. The stableness of the saw lets us make precise cuts for the project. We love the to be in the shop working with the power tools.
On the other hand when we travel to the work site if there are not a lot of cuts to make we will usually choose the hand circular saw from our power tool shop. We can use it to make quick cuts that are precise enough unless we are making cabinets or the such.
I love my circular and table saws for different jobs.