(
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.