# Betweenness

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**Betweenness**as edited by DavidB4-bot (Talk | contribs) at 22:10, 12 July 2016. This URL is a permanent link to this version of this page.**Betweenness** is the property of lines in certain geometries, such as plane geometry, which allows one to talk about when a third point is **between** two points.

Betweenness does not hold in some 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,^{[1]} though the concept has naturally been used imprecisely in mathematics since at least the time of Euclid.