Lune (geometry)

In plane geometry, the crescent shape formed from two intersecting circles is called a lune (in gray). There are two lunes in each diagram only one of which is shaded
See also: Spherical lune

In plane geometry, a lune is the concave-convex area bounded by two circular arcs, while a convex-convex area is termed a lens. [1] The word "lune" derives from luna, the Latin word for Moon.

Formally, a lune is the relative complement of one disk in another (where they intersect but neither is a subset of the other). Alternatively, if A and B are disks, then is a lune.


In the 5th century BC, Hippocrates of Chios showed that certain lunes could be exactly squared by straightedge and compass.

See also

Wikimedia Commons has media related to Crescents.


  1. "Google Groups". Retrieved 2015-12-27.

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