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shoelace formula

shoelace formula

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English

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shoelace formula

Shoelace scheme for determining the area of a polygon with point coordinates $(x_{1},y_{1}),...,(x_{n},y_{n})$

Etymology

So called because the constant cross-multiplying for the coordinates making up the polygon is analogous to the threading of shoelaces.

Proper noun

the shoelace formula

(mathematics) An algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane.
Synonyms: Gauss's area formula, surveyor's formula

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