论文标题
两个非统一的常规多边形，其顶点距离点相同
Two Non-Congruent Regular Polygons Having Vertices at the Same Distances from the Point
论文作者
论文摘要
对于给定的常规平面多边形和多边形平面中的任意点，定义了从点到多边形顶点的距离。我们证明，还有一个非统一的常规多边形，其顶点与该点相同的距离。两个常规多边形的大小由这些距离唯一确定。在通常的情况下，给出了第二个常规多边形的几何结构。事实证明，平面上有两个点，它们与两个具有共享顶点的两个非统治常规多边形的顶点的距离相同。
For the given regular plane polygon and an arbitrary point in the plane of the polygon, the distances from the point to the vertices of the polygon are defined. We proved that there is one more non-congruent regular polygon having the vertices at the same distances from the point. The sizes of both regular polygons are uniquely determined by these distances. In general case, geometrical construction of the second regular polygon is given. It is proved that there are two points in the plane, which separately have the same set of the distances to the vertices of two non-congruent regular polygons with a shared vertex.
