Key points are not available for this paper at this time.
This paper is an attempt to develop an elegant and simple generalization of what is usually called Simson’s Identity, with variations named after Cassini, Catalan and Gelin-Cesàro. It can shed a new light on Simson’s identity, and possibly how to extend it to some reciprocals of these identities and how to generalize it to arbitrary order with some conjectures.
Shannon et al. (Wed,) studied this question.