In one of my books it says: It is possible to define a line segment without using coordinates or any kind of parametrization by using the relation "$\dots$ lies between $\dots$ and $\dots$". However this approach is not elaborated any further and I can't find more sources on this topic.
Does anyone here know how to define a line segment with just using a relation?
One way is to say that the segment $AB$ is the set of points that lie between $A$ and $B.$