Shoelace formula
The shoelace formula , also known as Gauss's area formula and the surveyor's formula , is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. It is called the shoelace formula because of the constant cross-multiplying for the coordinates making up the polygon, like threading shoelaces . It has applications in ...
The shoelace formula , also known as Gauss's area formula and the surveyor's formula , [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2] It is called the shoelace formula because of the constant cross-multiplying for the coordinates making up the polygon, like threading shoelaces . [2] It has ...
Shoelace formula
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Shoelace formula
Shoelace scheme for determining the area of a polygon with point coordinates The shoelace formula , also known as Gauss's area formula and the surveyor's formula , [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2] It is called the shoelace formula because of the constant cross-multiplying for ...
Shoelace Theorem The Shoelace Theorem is a nifty formula for finding the area of a simple polygon given the coordinates of its vertices.
Shoelace Formula
The shoelace formula , also known as Gauss's area formula , the shoelace algorithm, shoelace method, or surveyor's formula , is a name sometimes given to the polygon area formula for the area of a simple polygon in terms of the Cartesian coordinates of its vertices (x_1,y_1), ..., (x_n,y_n).
The shoelace formula , also known as Gauss's area formula and the surveyor's formula , is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. It is called the shoelace formula because of the constant cross-multiplying...
Lecture 3
Explore the shoelace formula and winding number in Lecture 3, featuring lecture notes and comprehension questions for geometry and topology concepts.
The Shoelace Theorem is a nifty formula for finding the area of a simple polygon given the coordinates of its vertices. The formula was described by Albrecht Ludwig Friedrich Meister but commonly attributed to Carl Friedrich Gauss.