Can you give an example of using the standard library where the boundaries by coordinate x or y do not start from zero?

In the standard iOS library (UIKit), an example of using coordinate systems with boundaries not starting at zero is the frame property of UIView.

frame describes the position and size of the view in the coordinates of its superview. At the same time, frame.origin.x and frame.origin.y can be any numbers, not necessarily zero, since the view can be positioned anywhere inside the parent view.

For example, if a UIView has frame = CGRect(x: 50, y: 100, width: 200, height: 150), then the boundaries along x start at 50, and along y — at 100, not zero.

let parentView = UIView(frame: CGRect(x: 0, y: 0, width: 320, height: 480))
let childView = UIView(frame: CGRect(x: 50, y: 100, width: 200, height: 150))
parentView.addSubview(childView)
print(childView.frame.origin.x) // 50
print(childView.frame.origin.y) // 100

Thus, the coordinate system of frame allows positioning interface elements at arbitrary locations, not just starting from zero.