**geometry - What is the difference between a line segment**
https://math.stackexchange.com/questions/1765321/what-is-the-difference-between-a-line-segment-and-a-directed-line-segment

Apr 30, 2016 · Given two points a, b in a real vector space V the segment [ a, b] is the convex hull of these points, in other words, the set. σ := { ( 1 − t) a + t b | 0 ≤ t ≤ 1 } . If one of a, b is declared initial point, and the other endpoint of σ then the segment becomes directed. There is not more to it.

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