单叶双曲面中异族直母线之间的关系  

The Relationship Between the Different Families Rectilinear Generators of Hyperboliod of One Sheet

作　　者：姜永艳[1] 钱德亮[1] 张喆[1] 

机构地区：[1]中原工学院理学院,河南郑州450007

出　　处：《宜春学院学报》2012年第4期13-14,71,共3页Journal of Yichun University

基　　金：河南省自然科学基金:102300410275

摘　　要：通过对于单叶双曲面两族直母线直交时交点轨迹的讨论,给出了单叶双曲面中一族直母线中的任意一条直母线一定和异族直母线中的两条直母线垂直相交,以及一族直母线中任意两条直母线的公垂线为异族直母线中的一条直母线的关系。In this paper,by discussing the trace of intersection points of the orthogonal rectilinear generators of two families in hyperboloid of one sheet,we obtain the relations,in the hyperboloid of one sheet,which a rectilinear generator of any family must be perpendicular to the other two rectilinear generators of the another one,and which the common perpendicular of any two rectilinear generators of one family must be the rectilinear generator of the another family.

关 键 词：单叶双曲面 直母线 公垂线 

分 类 号：O182.2[理学—数学]