The bar line devides the staff into measures.
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To bisect is to cut or divide into halves. A bisecting line would then be a line that divides another line in half or a line that divides an angle in half.
The line separating the numerator and denominator when displayed as one number over another is called Vinculum, or sometimes referred to as the fraction bar. If the line is a slanting line (such as in "9/10"), it's referred to as the solidus.
Vinculum
measures