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单叶双曲面上两族直母线的唯一性
引用本文:刘德金,姜宏彬. 单叶双曲面上两族直母线的唯一性[J]. 潍坊学院学报, 2012, 0(2): 37-39
作者姓名:刘德金  姜宏彬
作者单位:1. 德州学院,山东德州,253023
2. 山东莱阳师范学校,山东莱阳,265200
摘    要:证明了单叶双曲面上只要有直线,则一定是大家熟知的u族和v族直母线,从而解决了单叶双曲面上已知两族直母线存在的唯一性问题,简化了以往对该问题的讨论。

关 键 词:单叶双曲面  直母线  腰椭圆

The Uniqueness About two Families Rectilinear Generator of Uniparted Hyperboloid
LIU De-jin,JIANG Hong-bin. The Uniqueness About two Families Rectilinear Generator of Uniparted Hyperboloid[J]. Journal of Weifang University, 2012, 0(2): 37-39
Authors:LIU De-jin  JIANG Hong-bin
Affiliation:(Dezhou University,Dezhou 253023,China;Laiyang Normal School of Shandong,Laiyang 265200,China)
Abstract:This paper shows that if only there is straight line on the uniparted hyperboloid,then it must be rectilinear generator of u-family or v-family as well known,then the uniqueness about u and v-family rectilinear generator of uniparted hyperboloid is solved,and discussion about it in other papers are simplified.
Keywords:uniparted hyperboloid  rectilinear generator  gorge ellipse
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