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directrix n.(pl. directrixes , -trices...

direful

Based on the geometry characteristics of bertrand surfaces , the complicated surface conjugation issue can be discussed with their directrix line . according to the different generatrix line which can be divided into common plane curve , circular - arc curve and straight line , bertrand conjugation surfaces are parted into three typical types , and the basic equation and differential formula are established , then the conjugation conditions are found . aiming at the inclusive problem , the structure condition is given 論文將白川德共軛按母線為一般平面曲線、圓弧、直線分為三種典型類型,分別建立了共軛的基本方程與微分關系式,據此給出了各種類型的共軛基本條件,發現這是一類更強更嚴的條件,存在有相容問題,進而研究了白川德共軛的結構條件,至此確立了白川德共軛的基本框架。

So far , the main frame of the conjugation of betrand are established , on the basis of which , it is given that the primary condition the directrix line must be satisfied , the relative curvature of the conjugating surfaces , the relations between non - interventional condition and curvature axle of the directrix line , and so on . the transmission of normal circular - arc gear is a typical bertrand conjugation . in order to promote the transformation from theory to technology , the general principle of this kind of transmission is studied 為了使研究更加貼近于工程,便于解析處理,提出準面的概念,并確立由準面到準線的研究路線,給出了各種傳動形式下準面與準線的具體特征,證明了共軛準面上兩準線的誘導測地曲率等于零的這一不干涉條件,進而指出,當準面為平行軸和相交軸傳動的節曲面時,不干涉條件自然滿足。

Constructing directrix for conic curve 圓錐曲線準線的幾何作圖