| 限制在两平行线间的等周问题 |
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| 引用本文： | 刘海亭,李寿贵,柴方. 限制在两平行线间的等周问题[J]. 数学杂志, 2012, 32(2): 377-380 |
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| 作者姓名： | 刘海亭 李寿贵 柴方 |
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| 作者单位： | 武汉科技大学理学院,湖北武汉,430065 |
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| 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.
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| 关 键 词： | 等周问题 支撑线 极值曲线 |
THE ISOPERIMETRIC PROBLEM LIMITED IN TWO PARALLEL LINES |
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| LIU Hai-ting , LI Shou-gui , CHAI Fang. THE ISOPERIMETRIC PROBLEM LIMITED IN TWO PARALLEL LINES[J]. Journal of Mathematics, 2012, 32(2): 377-380 |
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| Authors: | LIU Hai-ting LI Shou-gui CHAI Fang |
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| Affiliation: | (College of Science,Wuhan University of Science and Technology,Wuhan 430065,China) |
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| Abstract: | 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. |
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| Keywords: | isoperimetric problem supporting line extremal curve |
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