Line Segment
A closed interval corresponding to a finite portion of an infinite line. Line segments are generally labeled with
two letters corresponding to their endpoints, say and
,
and then written
.
The length of the line segment is indicated with a vinculum,
so the length of the line segment
would be written
.
Curiously, the number of points in a line segment is equal to that in an entire one-dimensional space (a line), and also to the
number of points in an -dimensional
space, as first recognized by Georg Cantor.
See also
Aleph-1, Collinear, Continuum, Interval, Line, Line Segment Range, RayExplore with Wolfram|Alpha
References
Lachlan, R. An Elementary Treatise on Modern Pure Geometry. London, England: Macmillian, pp. 14-16, 1893.Referenced on Wolfram|Alpha
Line SegmentCite this as:
Weisstein, Eric W. "Line Segment." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LineSegment.html