论文标题

两个带有共享顶点的常规多边形

Two Regular Polygons with a Shared Vertex

论文作者

Meskhishvili, Mamuka

论文摘要

对于同一类型的两个非统一的常规多边形,建立了在与顶点相等距离处找到平面中点的点的方法。对于带有共享顶点的两个多边形证明了两个点的存在。对于其中一个,证明它满足了Bottema定理条件,并基于此,给出了任何两个常规多边形的广义bottema定理。

For two non-congruent regular polygons of the same type, the method of finding the points in the plane at the equal distances to the vertices, is established. The existence of two points with this property is proved for two polygons with a shared vertex. For one of them, it is proved that it satisfies the Bottema theorem conditions and based on this, the generalized Bottema theorem for any two regular polygons is given.

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