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On a plane, a lune is a shape with a convex edge and a concave edge, bounded by disks. Given two disks A and B, with intersection C, [A minus C] and [B minus C] would both be lunes. "Lune" has a related meaning on a sphere's surface, where it denotes the area bounded by two great circles. Thus, draw two great circles on a sphere; the area between them is a lune. The word "lune" comes from the Latin word for "moon," as the lune's shape resembles a crescent moon.

Q: How is a lune defined in mathematics?

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Because division by 0 is not an operation that is defined in mathematics.

Mathematics is a formal science that deals with quantity, space, and change. It is an abstract science that attempts to ascertain and model real objects and phenomena in the physical, biological, and social world.

It is a function. In elementary mathematics it is defined as a trigonometric function: the ratio of the lengths of the opposite side to the hypotenuse in a right angled triangle. However, in more advanced mathematics it is defined by the infinite series: sin(x) = x - x3/3! + x5/5! - x7/7! + ... where x is measured in radians.

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It is not defined in mathematics since if allowed, it would lead to contradictions.