Perpendicular bisector:
 

Procedure: From the endpoints of line AB strike two intersecting arcs of equal radii. Connect the points of intersection to form the bisector CD.

Angle bisector:
 

Procedure: From the origin of <CAB strike an arc to intersect both legs of the angle at points c' and b' equidistant from A. From a' and b' strike two arcs of equal radii to intersect at D. Line AD bisects <CAB.