endpoint
An endpoint^{} of a line segment^{} $L$ is a point that belongs to the boundary of $L$. Note that every line segment has two distinct endpoints. For example, if $V$ is a vector space and $a,b\in V$ with $b\ne 0$, then the endpoints of the line segment $L=\{a+tb:t\in [0,1]\}$ are $a$ and $a+b$.
Note that the endpoints of the open line segment $L=\{a+tb:t\in (0,1)\}$ are also $a$ and $a+b$.
Endpoints can be defined in a manner for other geometric . These include rays, arcs (http://planetmath.org/PathConnected), and intervals (http://planetmath.org/Interval).

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Rays have one endpoint.

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have two endpoints.

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can have zero, one, or two endpoints, depending on whether they are bounded above and/or below. See the entry on intervals (http://planetmath.org/Interval) for more details.
Title  endpoint 

Canonical name  Endpoint 
Date of creation  20130322 16:06:05 
Last modified on  20130322 16:06:05 
Owner  Wkbj79 (1863) 
Last modified by  Wkbj79 (1863) 
Numerical id  12 
Author  Wkbj79 (1863) 
Entry type  Definition 
Classification  msc 5100 
Classification  msc 0300 
Synonym  end point 