the.com/router table

means A flat work surface with a router mounted upside down beneath it, letting you push wood across a spinning cutter instead of carrying the tool across the wood.

from 'Router' here traces to the woodworking tool used to hollow out ('rout out') grooves and recesses — 'rout' itself an old word for digging or gouging, related to 'root,' as in a pig rooting in dirt. The router got its name from that rooting-out action; the 'table' simply describes the fixed surface that later got built to hold the tool stationary, flipping the usual arrangement of hand-guided tool meeting fixed wood into fixed tool meeting hand-guided wood.