Teleportation in mathematics

(This version isn't perfect. View version 3 please.) A phenomenon similar to teleportation can be found when an intersection that satisfies a specific condition is shown among the intersection points of a function and an inverse function as the parameter increases. I used this to create a new mathematical concept. A semicircle shaped like a fake interval can predict the coordinates of a new point by knowing its radius or arc length or width, and thus can be expanded