[The Concept of Nature by Alfred North Whitehead]@TWC D-Link book
The Concept of Nature

CHAPTER V
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In other words he will be moving.

He will be moving in a straight line with uniform velocity.

We might take this as the definition of a straight line.

Namely, a straight line in the space of time-system {beta} is the locus of those points of {beta} which all intersect some one point-track which is a point in the space of some other time-system.

Thus each point in the space of a time-system {alpha} is associated with one and only one straight line of the space of any other time-system {beta}.
Furthermore the set of straight lines in space {beta} which are thus associated with points in space {alpha} form a complete family of parallel straight lines in space {beta}.


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