An alternative derivation of the simple criteria, in terms of linkage parameters, demarking the zones of nonexistence of double-crank and crank-rocker RSSR mechanisms is presented. The existence of a crank is verified by polynomial discriminants of the limit position. Closed from solutions are obtained for type identification for 4R spherical, RCCC, RSSP, and planar 4R mechanisms by treating these as the limiting cases of an RSSR mechanism.

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