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Line Segment


LineSegment

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 A and B, and then written AB. The length of the line segment is indicated with an overbar, so the length of the line segment AB would be written AB^_.

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 n-dimensional space, as first recognized by Georg Cantor.


See also

Aleph-1, Collinear, Continuum, Interval, Line, Line Segment Range, Ray

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References

Lachlan, R. An Elementary Treatise on Modern Pure Geometry. London: Macmillian, pp. 14-16, 1893.

Referenced on Wolfram|Alpha

Line Segment

Cite this as:

Weisstein, Eric W. "Line Segment." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LineSegment.html

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