"割之弥细,所失弥少,割之又割以至于不可割,则与圆合体而无所失矣",翻译英文
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"割之弥细,所失弥少,割之又割以至于不可割,则与圆合体而无所失矣",翻译英文
![](/uploads/image/z/19217363-59-3.jpg?t=%22%E5%89%B2%E4%B9%8B%E5%BC%A5%E7%BB%86%2C%E6%89%80%E5%A4%B1%E5%BC%A5%E5%B0%91%2C%E5%89%B2%E4%B9%8B%E5%8F%88%E5%89%B2%E4%BB%A5%E8%87%B3%E4%BA%8E%E4%B8%8D%E5%8F%AF%E5%89%B2%2C%E5%88%99%E4%B8%8E%E5%9C%86%E5%90%88%E4%BD%93%E8%80%8C%E6%97%A0%E6%89%80%E5%A4%B1%E7%9F%A3%22%2C%E7%BF%BB%E8%AF%91%E8%8B%B1%E6%96%87)
刘徽指出:“割之弥细,所失弥少.割之又割,以至于不可割,则与圆周合体而无所失矣.”(《九章算术》方田章圆田术刘徽注)这就是说,圆内接正多边形的边数无限增加的时候,它的周长的极限是圆周长,它的面积的极限是圆面积.
In a circle,when an isogon unlimited number of margin increase,the limits of its perimeter is circumference,and its size limited is the area of the circle.
In a circle,when an isogon unlimited number of margin increase,the limits of its perimeter is circumference,and its size limited is the area of the circle.