Removing parts of a line (literally)

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Hey pf!

I think this is the correct thread. Basically, if I take a line segment and remove half of it, what happens to the point that is in the middle?

Also, what happens if I take a segment [0,1] and take [0,1/2) versus [0,1/2]? What length do I have remaining for each of these?

Thanks!
 
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If you define a line segment as the points between points A and B, but excluding A and B, it is an open line segment. If it contains both A and B, it is a closed segment. If it includes one but not the other, it is call half-open.

The inclusion or exclusion of the endpoint does not affect the length of the segment.
 

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