surface of fourth order

In this paper, it is presented that the locus of a line crossedwith each of two guide lines and a guide conic not being on a commonplane is a ruled surface of fourth order.

本文提出了由一条二次曲线和与该二次曲线不共面的两条异面直线为导线，与该三导线均相交的直线轨迹是一个直纹四次曲面，并讨论了二次曲线分别为椭圆、双曲线和抛物线时，形成的曲面的形状特征。

It is presented that the locus of a line crossed with each of two guide line and a guide conic not being on a common plane is a ruled surface of fourth order.

提出了由一条二次曲线和与该二次曲线不共面的两条异面直线为导线，与该三导线均相交的直线的轨迹是一个直纹四次曲面，并对该曲面的特性作了一些初步探讨。

This paper proposes a piecewise geometric approach to parametrize a kind of quartic implicit algebraic surface.

针对一类四次隐式代数曲面 ,提出一种基于分片的几何参数化方法 。

binodal cyclide

双结点四次圆纹曲面

A toroid generated by a circle;a surface having the shape of a doughnut.

环面，环形圆纹曲面圆圈形成的超环面；具有炸面圈一样形状的表面

The Existence of Plane of a Circular Section of the Second Order Surface;

与二次曲面有交线圆的平面的存在性

Analysis of OpenGL Texture Mapping Onto Quadric Surfaces and Its Application

OpenGL二次曲面纹理映射技术分析与应用

Modeling Research on Quartic Rational Bézier Curve and Surface

四次有理Bézier曲线曲面造型的研究

Of, relating to, or shaped like a torus or part of a torus.

环形圆纹曲面环形圆纹曲面的或其某一部分的；形状象环形圆纹曲面的或其某一部分的；与之有关的

On Approximate Development of Straight Grained Helicoids;

三角形等面积法在直纹圆柱螺旋曲面近似展开中的应用

Torus Quadrangular BEM of Ring Electrodes in 3-D Electrostatic Fields

圆环电极电场的曲面四边形边界元算法

A ruled surface of revolution formed by an edged circle as the guide element is proposed in the category of basic geometrical bodies.

在基本几何体的范畴内，提出一种以棱圆为导元素的直纹曲面。

Point control of bivariate rational biquartic interpolating surface

二元有理双四次插值曲面的点控制问题

double generator of a ruled surface

直纹曲面的二重母线

Theoretical Calculation of Wave Aberration for Cassegrain Bimirror System at Limited Distance

二次圆锥曲面卡塞格林系统有限目标距离波象差的理论计算

On Some Fixed Value Theorems for Directed Areas in Elliptic Circumscribed Polygons and Their Applications

椭圆类二次曲线外切多边形中有向面积的定值定理及其应用

Principle of Interpolating Quadratic Curves of Circle Interpolator;

圆弧插补器插补非圆二次曲线的方法

The Full and Essential Condition of a Ruled Surface Being a Developable Surface

直纹曲面是可展曲面的一个充要条件

minimum ellipse of a hyperboloid of one sheet

单叶双曲面的最小椭圆

And present the ripple-disc to produce shear-squeeze composite force during working so that transmission torque can be increased greatly.

提出了一种波纹曲面圆盘，以它产生的剪切-挤压复合作用来提高传动力矩。

Based on the general equation of curved profile worms, the reverse solution principle of parameters of these worms is introduced.

基于曲纹面圆柱蜗杆的一般方程 ,探讨了该类蜗杆齿廓参数反求原理 .