摘要
本文研究了以两平行线为支撑线的等周曲线问题.利用变分的方法,求出了以平面中两条平行线为支撑线且所围面积为定值的闭凸曲线中具有最短周长的曲线.
In this article,the isoperimetric curve problem supported by two parallel lines is studied.Using variational-method,with two parallel lines as supporting lines and the closed convex curve＇s area is fixed,we obtain the shortest perimeter curve.
出处
《数学杂志》
CSCD
北大核心
2012年第2期377-380,共4页
Journal of Mathematics
关键词
等周问题
支撑线
极值曲线
isoperimetric problem
supporting line
extremal curve
