单叶双曲面上两族直母线的唯一性

The Uniqueness About two Families Rectilinear Generator of Uniparted Hyperboloid

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。

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.