关于可展曲面的两点注记  

Two Notes on Developable Surface

作　　者：佟盛林[1] 于淼[2] 

机构地区：[1]哈尔滨师范大学 [2]哈尔滨石油学院

出　　处：《哈尔滨师范大学自然科学学报》2013年第1期27-28,共2页Natural Science Journal of Harbin Normal University

摘　　要：探讨了满足条件(a'(u),b(u),b'(u))=0的直纹面r(u,ν)=a(u)+νb(u)为可展曲面的合理性,验证了只有一族直母线是可展曲面的必要但不充分条件.然后给出可展曲面的又一等价条件.In this article, the rationalization which ruled surface satisfied is developable surface is discussed and that only bunch of ruling of a ruled surface is essential condition but not full condition of developable surface are verified, then an equivalent condition of developable surface is set out.

关 键 词：直纹面 可展曲面 渐近方向 渐近曲线 曲率线 

分 类 号：O186.1[理学—数学]