Line Segment - Properties

Properties

  • A line segment is a connected, non-empty set.
  • If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an open set in V if and only if V is one-dimensional.
  • More generally than above, the concept of a line segment can be defined in an ordered geometry.

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    —John Locke (1632–1704)

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