Mathematical model of geared slider-rocker linkages for coupler path is set up by using Fourier series theory and complex vector theory.Inherent relation of side link swing-angle operators and coupler path is analyzed.The mathematic equations for calculating actual sizes of mechanisms and positional dimensions of installation are derived.A numerical atlas database of the side link swing-angle operators including 17205 basic dimensional types is established.A method used to synthesize geared slider-rocker linkages for path generation is realized by using numerical atlas method.Finally

an example is given.