10

A continuous line is such that if there is any
dyadic relation, r, and any class of objects
the p's, such that the existence of a p does not consist in the existence of anything
such that no point of the line can
be in the relation r to two different
p's and if A is an individual p and B is an individual p
every point of the line is either r to A or r to B
any a point of the line is r to A and a point
is r to B, it follows ipso facto that A and B are
identical

A continuous line is a place such that if there are
two different individuals, A and B, whose existence does not
consist in any proposition expressing a more direct Secondness, and if there is a
dyadic relation r such that every point of the line is in this relation, r,
to one or other of the individuals A and B, then there is ipso facto
a point which is in that relation, r, to both A and B.