论文标题
降低球形多边形的区域
The area of reduced spherical polygons
论文作者
论文摘要
我们在降低的球形多边形区域证实了Lassak的两个猜想。每个减少的球形非规范$ n $ -gon的面积少于相同厚度的常规球形$ n $ -gon的面积。此外,每个还原的球形多边形的面积小于相同厚度的常规球形奇数,并且其顶点数量趋于无穷大。
We confirm two conjectures of Lassak on the area of reduced spherical polygons. The area of every reduced spherical non-regular $n$-gon is less than that of the regular spherical $n$-gon of the same thickness. Moreover, the area of every reduced spherical polygon is less than that of the regular spherical odd-gons of the same thickness and whose number of vertices tends to infinity.