Linear isometrie/Space/Fixed point on football/Fact
At the beginning of a football game, the football lies on the center spot. After a goal is scored, the ball is again put on the center spot. In this situation, the following holds:
There exists at least two
(antipodal) points on the ball (its surface)
that are at the new kick-off exactly at the position where they were at the first kick-off. The total movement of the ball is a rotation around an axis.