1. A method of acquiring the shape of at least a portion of a section of a rim ( 14 ) of a selected eyeglass frame ( 10 ) of a rimmed type, the method comprising: acquiring via one of an electronic and a computer device ( 100 ) of a shape tracer appliance ( 1 ), at least one geometrical characteristic (A, D, ALPHA) of said section, the step of acquiring said at least one geometrical characteristic (A, D, ALPHA) comprises: a step of reading a register ( 201 ) of a computer server in which each entry is associated with an eyeglass frame model or category of models and includes at least one geometrical characteristic (A, D, ALPHA) of at least one section of a frame rim of said model or said category of models, with a search for an entry corresponding to the eyeglass frame model or category of models to which the selected eyeglass frame ( 10 ) belongs; and a step of reading said at least one geometrical characteristic (A, D, ALPHA) from said corresponding entry, upon a corresponding entry being found in the register ( 201 ) of the computer server.