| 空间曲线的曲率圆问题新探 |
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| 引用本文： | 梁林,毛瑞.空间曲线的曲率圆问题新探[J].楚雄师范学院学报,2012,27(3):28-39. |
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| 作者姓名： | 梁林 毛瑞 |
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| 作者单位： | 楚雄师范学院数学系,云南楚雄,675000 |
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| 摘 要： | 本文以微分几何中的曲率为工具,通过对圆锥曲线和空间曲线的曲率圆问题研究,获得了关于椭圆、抛物线、双曲线以及空间曲线的曲率圆等6个轨迹结论,从而为解决圆锥曲线和空间曲线曲率圆问题提供了一种方法。
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| 关 键 词： | 空间曲线 圆锥曲线 曲率圆 渐屈线 |
The new exploration about the problem of curvature circle of dimensional curve |
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| LIANG Lin;MAO Rui.The new exploration about the problem of curvature circle of dimensional curve[J].journal of chuxiong normal university,2012,27(3):28-39. |
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| Authors: | LIANG Lin;MAO Rui |
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| Institution: | LIANG Lin;MAO Rui (Department of Mathematics,Chuxiong Normal University,Chuxiong 675000,China) |
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| Abstract: | Taking curvature in differential geometry as a tool,this paper researches the problem of curvature circle about conical curve and dimensional curve,and obtains six conclusions of locus about ellipse,parabola,hyperbola,dimensional curve and so on.Therefore,a method is provided to solve the problems of curvature circle about conic curve and dimensional curve. |
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| Keywords: | Dimensional curve conic curve curvature circle evolute |
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