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。
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.
出处
《楚雄师范学院学报》
2012年第3期28-39,共12页
Journal of Chuxiong Normal University
关键词
空间曲线
圆锥曲线
曲率圆
渐屈线
Dimensional curve
conic curve
curvature circle
evolute
