摘要
探讨了满足条件 (a′(u) ,b(u) ,b′(u) ) =0的直纹面r(u ,v) =a(u) +vb(u)为可展曲面的合理性 。
This article discussed the rationalization which ruled surface satisfied (a′(u),b(u),b′(u))=0 is developable surface r(u,v)=a(u)+vb(u) and verifies that only bunch of ruling of a ruled surface is essential condition but not full condition of developable surface.
出处
《南阳师范学院学报》
CAS
2004年第9期21-22,共2页
Journal of Nanyang Normal University
关键词
直纹面
直母线
可展曲面
渐近方向
渐近曲线
ruled surface
ruling of a ruled surface
developable surface
asymptotic direction
asymptotic curve