论文标题
平面凸形体的质心位置
Position of the centroid of a planar convex body
论文作者
论文摘要
众所周知，任何平面凸件$ a $允许刻有息息hexagon $ h_a $。我们证明，$ a $的质心属于$ h_a $的同种图像，而比率$ \ frac {4} {21} $和中心位于$ h_a $的中心。该比率不能扩大。
It is well known that any planar convex body $A$ permits to inscribe an affine-regular hexagon $H_A$. We prove that the centroid of $A$ belongs to the homothetic image of $H_A$ with ratio $\frac{4}{21}$ and the center in the center of $H_A$. This ratio cannot be enlarged.
