| 曲率与曲率圆的几个等价定义 |
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| 引用本文： | 章栋恩. 曲率与曲率圆的几个等价定义[J]. 北京工商大学学报(自然科学版), 2005, 23(1): 63-65 |
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| 作者姓名： | 章栋恩 |
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| 作者单位： | 北京工商大学,基础部数学教研室,北京,100037 |
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| 摘 要： | 与现行的教材不同,给出和证明了曲线的曲率和曲率圆的另外几个等价定义:曲率圆可以作为曲线的二阶近似的一种特殊形式;也可以作为曲线上邻近的三个点所确定的圆的极限;曲率中心又可以作为曲线上邻近的两个点所作法线的交点的极限.
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| 关 键 词： | 曲率 曲率圆 曲率中心 泰勒公式 |
| 文章编号： | 1671-1513(2005)01-0063-03 |
| 修稿时间： | 2004-09-02 |
SOME EQUIVALENT DEFINITIONS OF CURVATURE AND CIRCLE OF CURVATURE |
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| ZHANG Dong-en. SOME EQUIVALENT DEFINITIONS OF CURVATURE AND CIRCLE OF CURVATURE[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2005, 23(1): 63-65 |
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| Authors: | ZHANG Dong-en |
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| Abstract: | Different from current text books, give and prove some equivalent definitions of curvature and circle of curvature: the circle of curvature can be defined as a special form of approximate curve in second order; it can also be regard as a limit circle of circles determined by three points on the curve; the center of curvature can be defined as a limit point of intersection points of two normal line about the curve. |
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| Keywords: | curvature circle of curvature center of curvature Taylor's formula |
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