Comparators are instruments used to measure small differences in size by comparing unknown sizes to a known reference size. The Eden Rolt comparator uses both mechanical and optical magnification to measure at very high precision levels. It works by using a lever mechanism and optical shadow projection to magnify small movements at the measuring end into large movements visible on the comparator's scale, allowing measurements with a precision of 0.00002mm. Key components include movable and fixed anvils, steel strips, and optical components like a lamp, prism, and lens, which work together to magnify measurements up to 20,000 times total. The Eden Rolt comparator can calibrate gauges up to 25mm in size.