An analytical formula is deduced concering the direction of movement of coupler point versus the fixed link and moving point on the poleray versus poletangent using infinitesmal Burmester theory. Thus, a new method of synthesis for 4-bar straight-line mechanisms is advanced out of practical necessity. Through this design method, the author finds shortcomings with classioal Chehyshev mechanisms; and a new proportion of dimensions for 4-bar straight-line meohanisms is put forwards.

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