渐屈线

由齿形法线在节曲线上的分布规律，用解析法建立齿形渐屈线方程；

According to the distribution disciplinarian of the gear 's normal on the pitch-curve , the equations of the gear 's tooth evolute are set up by analytic method ;

然后他讨论了平面曲线的渐屈线。

He then treated the evolute of a plane curve .

圆锥曲线的渐屈线及其特殊点的规尺作图

Evolute of Cone Curve and Drawing with Compasses and Ruler of Special Point

并由所建立的方程进行了蜗线齿轮及其共轭齿轮的渐屈线及齿形的图形仿真，为新式齿轮的开发应用提供了理论依据。

Based on above , the graphics simulation of the evolute and tooth are finished , which provides theory basis for this new kind of gears .

给出了三类圆锥曲线的渐屈线方程，介绍了圆锥曲线顶点处的曲率中心和曲率圆的规尺作图方法。

The paper explains three types of evolute of cone curve , and introduces curvature center on top of cone curve and drawing way with compasses and ruler of curvature circle .

首先给出了球面曲线的性质，然后讨论球面曲线与测地圆的切触和球面渐屈线的性质。

First we give the characteristic property of a spherical curve , then we discuss the contact between the geodesic circle and the spherical evolute , and the properties of the spherical evolute .

在介绍用规尺进行线段之间代数运算知识的基础上，讨论如何利用规尺作图法作出圆锥曲线及其渐屈线、某些非圆锥曲线的图象。

Based on introduction of knowledge about algebraic operation among line seg-ments , it is discussed how to diagram the conic section and its evolute , some non-conic section using compasses and straightedge in this paper .