The two phrases are equivalent: collinear means in the same line [segment].
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'Line Segment' is a portion of a line that includes two points and all of the collinear points between the hypothetical two points also 'Line Segment' because a line or line segment is a set of infinite points and the infinite points are collinear....
Points are collinear if they lie on the same line.
collinear
That's the whole point. "Collinear" means they are on the same line.
Collinear points.