Each such point indicates a certain quality of absolute position in reference to the durations of the family associated with {alpha}, and thence in reference to the successive instantaneous spaces lying in the successive moments of {alpha}.

Each moment of {alpha} will intersect a point-track in one and only one event-particle.
This property of the unique intersection of a moment and a point-track is not confined to the case when the moment and the point-track belong to the same time-system.

Any two event-particles on a point-track are sequential, so that they cannot lie in the same moment.

Accordingly no moment can intersect a point-track more than once, and every moment intersects a point-track in one event-particle.
Anyone who at the successive moments of {alpha} should be at the event-particles where those moments intersect a given point of {alpha} will be at rest in the timeless space of time-system {alpha}.

But in any other timeless space belonging to another time-system he will be at a different point at each succeeding moment of that time-system.