If you are talking about the line that separates the north hemisphere and the south hemisphere, it is the equator.
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Hemispheric line
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A line segment that divides a circle in two is a chord.If the two parts of the circle are equal, the line segment is a diameter.See 'The Parts of the Circle' in Sources and related links, below.
Every line bisector divides a line into two halves: by definition!
It's a chord, unless the 2 parts are equal, when it becomes a diameter.