四顶点定理的物理意义

Physical meaning of the four vertex theorem

四顶点定理是平面闭曲线的一个重要性质.将平面卵形线的顶点与平面卵形薄板的平衡点联系起来,利用四顶点定理可得到均匀卵形薄板至少有4个平衡点,从而给出四顶点定理的物理意义.

The four vertex theorem is an important global property of planar closed curve.The connection between the static balance points of an oval shape thin plate and the vertex of a planar oval is shown.By using the four vertex theorem,it was proved that there are at least four equilibrium points in a uniform ovoid thin plate,thus giving the physical meaning of the four vertex theorem.