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A geometry is defined as the pure mathematics of [[point]]s and [[line]]s and [[curve]]s and [[surface]]s. It works by defining a set of [[axiom]]s which clarify how points and lines are constituted, for example: ''two unique points define a straight line'', and deriving from these results. Some geometries such as the [[Fano Plane]] many have seven points or fewer. The simplest geometry is the [[empty set]].
A geometry is defined as the pure mathematics of [[point]]s and [[line]]s and [[curve]]s and [[surface]]s. It works by defining a set of [[axiom]]s which clarify how points and lines are constituted, for example: ''two unique points define a straight line'', and deriving from these results. Some geometries such as the [[Fano Plane]] many have seven points or fewer. The simplest geometry is the [[empty set]].
==See Also==
*[[Euclidean geometry]]
*[[Riemannian geometry]]
[[category:geometry]]
[[category:geometry]]