摘要
双曲抛物面是一类重要的直纹二次曲面,其同族直母线异面,且平行于某共同的平面.该命题的逆命题为:在一定条件下,平行于同一平面、且两两异面的一族直线所形成的几何图形是双曲抛物面.
Hyperbolic paraboloids are an important type of ruled quadric surface,whose straight generatrices of the same family are not coplanar but paralle to the common plane.This paper gives the inverse of this proposition:under certain conditions,the geometric figure formed by a family of straight lines parallel to the same plane,of which every pair of lines are not coplanar,is a hyperbolic paraboloid.
作者
王成强
赵向青
吕志伟
赵士银
WANG Chengqiang;ZHAO Xiangqing;LV Zhiwei;ZHAO Shiyin(School of Arts and Science,Suqian University,Suqian 223800,China)
出处
《玉溪师范学院学报》
2023年第3期31-34,共4页
Journal of Yuxi Normal University
基金
国家自然科学基金(11701050)
宿迁学院人才引进项目、宿迁学院“西楚学者”培养计划项目(2022XRC033)。
关键词
二次曲面
双曲抛物面
马鞍面
直纹面
直母线
quadric surfaces
hyperbolic paraboloids
saddle surfaces
ruled surfaces
straight generatrices
