Lune (geometry)

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.

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 and are disks, then is a lune.

Example

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

See also

References

  1. ↑ "Google Groups". Groups.google.com. Retrieved 2015-12-27.
  • Weisstein, Eric W. "Lune". MathWorld.
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