An eye surgery system includes an operating microscope having at least one camera, a data memory, a pattern generator, and a display apparatus. The operating microscope presents a microscope image of an eye, and the at least one camera records a camera image of the eye. The data memory stores data that represent at least one predetermined position, relative to the eye, of a trocar to be inserted into the eye. The pattern generator generates a pattern representing the predetermined position of the trocar on the basis of the data stored in the data memory and the camera image recorded by the camera, and the display apparatus overlays the pattern produced by the pattern generator on the microscope image of the eye.