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Linear Ordered Geometry
An incidence geometry
is a
linear ordered geometry if there is a strict betweenness
relation
defined on the points
of 
, such that
- Col1
-
only if 
, and 
are collinear
(all incident
with a common
line
);
- Col2
- for any pairwise distinct collinear points
, at least one of
, 
, or
,
.