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初等几何学中对于正多边形求面积方法是用正多边形规则的性质,直接就可以求出它们的面积来,很方便。然而对于不规则的任意多边形,要想求出它们的面积,目前还没有直接的和简便的方法,往往是把它分成若干个三角形分别求出它们的面积来,再把这些面积相加而得出该任意多边形面积来,这种求任意多边形面积的方法是非常麻烦的。那么对于不规则的任意多边形是否可以找出它们的规律和性质而能直接和简便的求出它们的面积来呢?现在说明如下: 定理:任意四边形面积等于两相隣边中点间之线段与另一边中点至该线段的距离乘积的二倍。
In elementary geometry, the method for finding the area of a regular polygon is to use the property of a regular polygon, and it is convenient to find their area directly. However, for irregular arbitrary polygons, there is no direct and simple method to find their area. Usually, it is divided into several triangles to find their area, and these areas are added together. Given this arbitrary polygon area, this method of finding an arbitrary polygon area is very cumbersome. Then, can irregular and random polygons find their regularity and properties, and can directly and easily find their area? Now the description is as follows: Theorem: The area of an arbitrary quadrangle is equal to the line segment between two adjacent edges. The product of the distance product from the other midpoint to the line segment is doubled.