Other Properties
A set of five or more points is concyclic if and only if every four-point subset is concyclic. This property can be thought of as an analogue for concyclicity of the Helly property of convex sets.
Abouabdillah's theorem characterizes the similarity transformations of a Euclidean space of dimension two or more as being the only surjective mappings of the space to itself that preserve concyclicity.
Read more about this topic: Concyclic Points
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—John Locke (1632–1704)
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