| 关于曲线的曲率的几个定理 |
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| 引用本文： | 丁春华.关于曲线的曲率的几个定理[J].西南师范大学学报(自然科学版),1992,17(3):293-299. |
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| 作者姓名： | 丁春华 |
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| 作者单位： | 天津十三中学 天津300222 |
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| 摘 要： | 主要证明了定理 设正则曲线C的曲率的最大值是K,AB是C上的一段弧,其长为l,若l<π/K,+则AB的每一弦切角都不大于1/2Kl.利用这个定理,还证明了关于曲线全曲率的一些定理.
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| 关 键 词： | 正则曲线 曲线 曲率 凸域 扭转 |
SOME THEOREMS ON THE CURVATURE OF A CURVE |
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| Ding Chunhua.SOME THEOREMS ON THE CURVATURE OF A CURVE[J].Journal of Southwest China Normal University(Natural Science),1992,17(3):293-299. |
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| Authors: | Ding Chunhua |
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| Abstract: | The following theorem is proved:Let AT be the maximum of the curvature of a regular curve C, A Ban arc of C and /thelength of AB. If - then the angles formed by the chord of A Band the tangents at Aand B respectively arc< rK/.With the aid of this theorem, some other theorems on the total curvature of a curve are also proved. |
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| Keywords: | regular curve curvature of a curve convex domain twist of a curve geodesic curvature |
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