宜春学院学报
宜春學院學報
의춘학원학보
JOURNAL OF YICHUN UNIVERSITY
2012年
4期
13-14,71
,共3页
单叶双曲面%直母线%公垂线
單葉雙麯麵%直母線%公垂線
단협쌍곡면%직모선%공수선
Hyperboloid Of One Sheet%Rectilinear Generators%Common Perpendicular
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。
通過對于單葉雙麯麵兩族直母線直交時交點軌跡的討論,給齣瞭單葉雙麯麵中一族直母線中的任意一條直母線一定和異族直母線中的兩條直母線垂直相交,以及一族直母線中任意兩條直母線的公垂線為異族直母線中的一條直母線的關繫。
통과대우단협쌍곡면량족직모선직교시교점궤적적토론,급출료단협쌍곡면중일족직모선중적임의일조직모선일정화이족직모선중적량조직모선수직상교,이급일족직모선중임의량조직모선적공수선위이족직모선중적일조직모선적관계。
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.