二次曲面截交线的研究  

A Study on Section Line of Quadratic Surface

作　　者：葛常清[1] 

机构地区：[1]苏州科技学院基础部,江苏苏州215011

出　　处：《苏州城建环保学院学报》2001年第4期82-86,共5页Journal of Suzhou Institute of Urban Construction and Environmental Protection

摘　　要：对控制投影面、二次曲面及截平面三者之间相对位置的参数进行投影分析和对平面与二次曲面的交线投影成圆周条件的证明,为方便准确地求解二次曲面的截交线、贯穿点、相贯线等提供了理论根据,为其程序编制及计算机绘图提供了新的行之有效的方法。A theoretical principle is found through the projection analysis of the parameters in relevant positions of a cutting plane,a quadratic surface and its projection planes,and the demon-stration of the conditions for projected line circle of a cutting plane and a quadratic surface,to re-solve precisely the section line and piercing point and intersection quadric of a quadratic surface.The paper also provides a new method for computer programming and drawing.

关 键 词：截交线 贯穿点 相贯线 二次曲面 截平面 画法几何 

分 类 号：TB23[一般工业技术—工程设计测绘]