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Lune (geometry)
Crescent shape bounded by two circular arcs / From Wikipedia, the free encyclopedia
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This article is about the plane geometry region. Not to be confused with Spherical lune.
In plane geometry, a lune (from Latin luna 'moon') is the concave-convex region bounded by two circular arcs.[1] It has one boundary portion for which the connecting segment of any two nearby points moves outside the region and another boundary portion for which the connecting segment of any two nearby points lies entirely inside the region. A convex-convex region is termed a lens.[2]
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In plane geometry, the crescent shape formed by two intersecting circles is called a lune. In each diagram, two lunes are present, and one is shaded in grey. |
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 and
are disks, then
is a lune.