The invention relates to a method for forming curved sections in a transparent material, especially in a cornea, by producing optical breaks at various points in the material by means of pulsed laser beams focused into the material. The laser beam is deviated in a two-dimensional manner from a deviation point in order to form the section by arranging the optical breaks in a sequence. The two-dimensional deviation occurs such that the areas of the optical opening along a curve, whereon the optical openings are arranged in a sequence, are arranged at a distance in relation to the deviation point according to an angle function which is not linear and which is adapted to the curvature of the section. The areas along the curve adjacent to optical openings inside a specific tolerance range are arranged at an even distance.