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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]
If the line in this diagram is the goal line between the goal posts, the only case in which a goal has been scored is position D. In association football, a goal is scored if the whole of the ball crosses the goal line between the goalposts and under the crossbar.