A method of shaping an ophthalmic lens for mounting in a mixed surround of an eyeglass frame that presents at least one half-rim, includes: a) a step of acquiring a longitudinal profile characterizing the shape desired for the outline of the lens; b) a step of subdividing the longitudinal profile into a first arc associated with the half-rim and a second arc, in which step the positions of two singular points of the longitudinal profile are acquired that characterize the positions of the two ends of the half-rim; c) a first step of finishing the ophthalmic lens, during which a first portion of its outline is brought to the shape of the first arc; and d) a second step of finishing the ophthalmic lens, during which a second portion of its outline is brought to the shape of the second arc. In step b), the position of at least one of the two acquired singular points is corrected so as to reduce the length of the first arc of the longitudinal profile.