A treatment device for the surgical correction of hyperopia in the eye comprising a laser device controlled by a control device. The laser device separating corneal tissue by applying laser radiation. The control device controls the laser device for emitting the laser radiation into the cornea such that a lenticule-shaped volume is isolated. Removal thereof effects the desired correction. The control device predefines the volume such that a posterior surface and an anterior surface are connected via an edge surface that has a width in projection along the visual axis that is wider than the one which a straight line in the same projection, that is perpendicular at the edge of the posterior or the anterior surface would have relative to the associated surface and connects the anterior surface to the posterior surface or to the perceived extension thereof.
