Among the tools deployed in proving mobility of a kinematic chain, the adhibition of a pair of coaxial helices could not be rarer. Ten years after Bennett gave public birth to his four-bar, he used this odd construct to determine the mobile state of a network comprising six of his basic loops. The provenance of the device being unavailable, algebraic means are called upon here to establish its validity, and subsequently to seek its relationship with quadric surfaces defined by the loop.
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