(Mathematics - Euclidean Geometry)

The perpendicular bisector p of a line segment from A to B (A != B) is a line that is perpendicular to line AB and containing the midpoint of A and B. x is on p if and only if x is equidistant from A and B. The perpendicular bisectors of a triangle are also called side bisectors.

Also known as: side bisector (not noded).

The method for constructing a perpendicular bisector is detailed in Euclid's Elements, book I, proposition 10.