(

*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.