The article sets out to correct a fallacy of 30 years ago in the depiction of the Bennett linkage by joint axes on its affiliated hyperboloid of one sheet. The procedure adopted gives rise to fresh perusals of various matters, whose outcome allows them to be of renewed purport. Of particular interest is the direct application of two of Ball's findings to the issue under scrutiny.
BakerJ. E., ‘On the motion geometry of the Bennett linkage’ In Proceedings of the Eighth International Conference on Engineering design graphics and descriptive geometry, Austin, TX, USA, 31 July-3 August, 1998, vol. 2, pp. 433–437.
4.
BakerJ. E., ‘The Bennett linkage and its associated quadric surfaces’Mech. Mach. Theory23 (2) (1988): 147–156.
5.
BakerJ. E., ‘The composition of Bennett's hyperboloids from the loop itself’Trans. ASME, J. Mech. Des.126 (5) (2004): 875–880.
6.
BakerJ. E., ‘A direct route to the reciprocal Bennett linkage’Proc. IMechE, Part C: J. Mechanical Engineering Science223 (10) (2009): 2425–2429 DOI: 10.1243/09544062JMES1746.
7.
YuH.-C., ‘The Bennett linkage, its associated tetrahedron and the hyperboloid of its axes’Mech. Mach. Theory16 (2) (1981): 105–114.
8.
BakerJ. E., ‘Bennett's double helix’Proc. IMechE, Part K: J. Multi-body Dynamics218 (4) (1904): 223–230 DOI: 10.1243/146443541437.
9.
BellR. J. T., An elementary treatise on coordinate geometry of three dimensions1950, 3rd edition (London: Macmillan).
