摘要
鉴于数学分析和微分几何某些教科书提供的正则概念不完备．本文从讨论正则曲线的概念出发．研究曲线上各类非正则点的几何特征及判别方法。并以楔积运算为工具．通过拐点的讨论．研究有重要实用价值的平面三次参数曲线的非正则点．得到“二重拐点”是非正则点等结论．
Because of the non-completion of the concepts of regularity in some textbooks on mathematical analySis and differentical geometry,this paper investigate the geometrical characteristics and decisive methods of all types of non -regular points on curves according to the concepts of regular curves. Depending on the use of wedge product calculation and the discussion of knee points,we consider the non-regular points on the plane cudic curves with important and pratical value and derive the conclusion that bi-knee points' are non -regluar points.
出处
《工业工程》
1994年第3期99-104,共6页
Industrial Engineering Journal
关键词
正则曲线
非正则点
切向量
楔积
二重拐点
regular curve
non -regular point
tangent vector
wedge product
biknee points
