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basic geometry article
'''Betweenness''' is the property of [[line]]s in certain [[geometries]], such as [[plane geometry]], which allows one to talk about when a third point is '''between''' two points.
[[Image:BPT.jpg|300px|Point B is ''between'' points A and C]]
Betweenness does not hold in some bizarre geometries such as [[non-Euclidean geometry]] and the [[Fano plane]]. Betweenness is equivalent to the line being a [[linear order]] of its points. The concept of betweenness was first mathematically expressed by [[David Hilbert]]<ref>http://www.libraryofmath.com/betweenness-proposition-list.html</ref>, though the concept has naturally been used imprecisely in mathematics since at least the time of [[Euclid]].
==See also==
*[[Betweenness of Points Theorem]]
*[[Betweenness of Rays Theorem]]
==References==
{{reflist}}
[[Category:Geometry]]
[[Image:BPT.jpg|300px|Point B is ''between'' points A and C]]
Betweenness does not hold in some bizarre geometries such as [[non-Euclidean geometry]] and the [[Fano plane]]. Betweenness is equivalent to the line being a [[linear order]] of its points. The concept of betweenness was first mathematically expressed by [[David Hilbert]]<ref>http://www.libraryofmath.com/betweenness-proposition-list.html</ref>, though the concept has naturally been used imprecisely in mathematics since at least the time of [[Euclid]].
==See also==
*[[Betweenness of Points Theorem]]
*[[Betweenness of Rays Theorem]]
==References==
{{reflist}}
[[Category:Geometry]]