Although the subject of many more investigations than any other skew linkage, the Bennett loop does not yield up its properties easily. Recent work has revealed the axodes, which putatively determine its higher-order kinematics, and some of the derivable geometric features, but the study remains incomplete. The present paper uncovers previously hidden characteristics of significance, namely, the operative regulus in the fixed axode's central tangent surface and the consequent parametric equation of its curve of striction. The approach is extended to an examination of the hyperboloid which contains the loop's joint axes.
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