Abstract
Using Cayley’s construction of parallelograms and similar triangles, the existence of the coupler cognate of the geared five-link mechanism is established for the general case in which the coupler point is arbitrarily located in the plane of one of the coupler links. The Cayley diagram for the geared five-link mechanism is proposed. Its extension leads to the coupler cognates of plane, single-loop, geared, multilink mechanisms.
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