Is there a name for the center of a line?

Is there a name for the center point for a line?

For example: ---------o---------

If the dashes represent a straight line and the O represents the center of that line, what would the name for that center point be?


A line goes forever in both directions, so it has no center. If you have a line segment - a part of a line with two definite ends - then the name is "midpoint."