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1)  biparted hyperboloid elliptic
双叶双曲面
2)  uniparted hyperboloid
单叶双曲面
1.
The article has described the simplicity machining method of the tilted edge fingerlike gear cutter with uniparted hyperboloid matching tooth shape and the straight generatrix of the uniparted hyperboloid as the blade curve.
介绍用单叶双曲面拟合齿形,以单叶双曲面的直母线作刀刃曲线,用普通工具磨即可完成的斜刃指状齿轮铣刀的简易加工方法。
2.
This article not only discusses the ruled surface features of uniparted hyperboloid and its application in archtecture engineering but also discusses the teaching of the ruled surface.
本文主要讨论了单叶双曲面的直纹性,指出它在建筑工程中的应用,并对直纹面的教学作了探讨。
3.
It is proved that the surface organized by all the straight lines which are coplanar with three u-family rectilinear generators of an uniparted hyperboloid,which are not coincident with each other,is exactly the primal uniparted hyperboloid.
证明了与单叶双曲面上3条互不重合的u族直母线均共面的直线所构成的曲面正好是原单叶双曲面。
3)  hyperboloid of one sheet
单叶双曲面
1.
Potential distribution of charged conductorwith surface of hyperboloid of one sheet;
表面为单叶双曲面带电导体的电位分布
2.
From the hyperboloid of one sheet of special section line,the article analyzes its property of ruled surface and deduces the parameter equation of another trigonometric function form,which agrees with the definition of the ruled surface.
从单叶双曲面上特殊截线出发,说明单叶双面的直纹性,导出单叶双曲面的另一种三角形式的参数方程。
3.
The paper proves that the surface normal,which is followed by rectilinear generators on hyperboloid of on sheet,comstructs the hyperbolic paraboloid generated by two same parabola,when rectilinear generators go through the vertex of waist ellipse,and it also deduces that the hyperboloid of one sheet is constructed by surface normal through a certain rectilinear generator.
证明了当单叶双曲面的直母线过腰椭圆顶点时,沿着它的曲面法线构成一个由二全等抛物线生成的双曲抛物面,并推导出对单叶双曲面,沿着它的任一直母线,曲面的法线均构成双曲抛物面。
4)  hyperboloid [英][hai'pə:bəlɔid]  [美][haɪ'pɝbə,lɔɪd]
单叶双曲面
1.
For a given three screws, this paper, using the theory of quadric surface, finds the hyperboloid which is defined by the three given screws.
本文使用二次曲面的化简理论 ,对于给定的三根螺旋 ,求出由它们确定的单叶双曲
5)  double leaf bilateral curved rotation surface
双叶双曲回转面
1.
Study of truncated intersector curve of single leaf and double leaf bilateral curved rotation surface;
单叶、双叶双曲回转面截交线的研究
6)  double leaf revolving hyperboloid
双叶旋转双曲面
补充资料:双叶双曲面


双叶双曲面
two-sheet hyperboloid

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