Imagine, that you are an intelligent bird with a 360 degrees, panoramic view, flying over a plane equipped with orthogonal x and y axis, clearly visible and – what a coincidence – intersecting just 10 meters beneath you.
I argue, that due to the well known phenomenon of the geometrical perspective, you see in a distance the line which goes North, parallel to the line which goes West. In fact, every direction seems parallel to all other three directions.
Is that right, and why it’s right? How could this be?