A precision cutter is disclosed. The cutter is curvilinear in shape, and has an elongated handle with a blade projecting from the top end thereof, and a cap adapted to fit over the blade, the cap being so configured that when in place covering the blade, it provides the appearance of a unitary piece to the cutter. The handle has a weight positioned in it eccentric to the central axis thereof, so that when rolled on a flat surface the handle consistently returns to the same position relative to the flat surface.