论文标题
有关PONCELET多边形的区域和中心的更多信息
More about areas and centers of Poncelet polygons
论文作者
论文摘要
我们研究了poncleet多边形质量的围栏，以及质量中心的极限（当我们将多边形视为“同质层”）作为简化的poncleet多边形。我们还为Dan Reznik不变的台球轨迹提供了证明。另外，当我们转移到球形几何形状时，我们看一下场景的样子。
We study the locus of the Circumcenter of Mass of Poncelet polygons, and the limit of the Center of Mass (when we consider the polygon as a "homogeneous lamina") for degenerate Poncelet polygons. We also provide a proof for one of Dan Reznik invariants for billiard trajectories. Plus, we take a look at how the scene looks like when we shift to spherical geometry.
