In order to measure a cornea with the aid of a projection (S11) of a two-dimensional reference pattern onto the cornea and of a detection (S12) of the reflection pattern reflected by the cornea by virtue of the reference pattern, a plurality of different reflection images of one or more reflection patterns reflected by the cornea are stored (S13). For points on the cornea a phase value of the reflection pattern is respectively calculated on the basis of intensities respectively measured in the stored reflection images at a pixel corresponding to the relevant point. At least one measured geometrical value of the cornea is calculated (S2) on the basis of the calculated phase value. The measurement of the cornea on the basis of a plurality of different reflection images of one or more reflection patterns reflected by the cornea enables a continuous measurement of the cornea in which corresponding pixels are acquired and evaluated for each point on the cornea.