A multi-touch recognizing device for distinguishing an illusion from an actually touched position and an illusion position by using an inclination angle measuring method, minimizing time for measuring a touch position, and more accurately measuring the position is provided. The gripping device is designed to seize the ring from a first element, such as a ring-forming element, and to transfer same into a second element, such as an element used to insert the ring into the member that supports the winding to be produced. In response, an image that includes an apparent focus plane corresponding to the level of accommodation of the viewer is provided on the large DOF display.