Define a line and line segment..
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Line
⟹The notion of line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth.
⟹Lines are an idealization of such objects, which are often described in terms of two points or referred to using a single letter.
Line segment
⟹A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
⟹A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.
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