bertrand curve 中文意思是什麼
bertrand curve
解釋
伯特蘭曲線-
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。 -
According to the restriction of the generatrix line, bertrand surface can be constructed with the bertrand curve with broad sense group
按照母線的約束，形成廣義白川德曲線族，進而構造出白川德曲面。 -
Bertrand curves with broad sense can be regarded as the equidistants of special line, which form the family of bertrand curve with broad sense, and be convenient to the choice
廣義白川德曲線可視為空間曲線的等距線，形成了廣義白川德曲線匯，便於工程應用的選擇。 -
Starting with bertrand curve in differential geometry, bertrand curve with broad sense is put forward, and bertrand surface is refined from the practice experience. their geometry nature and inner relationship are studied
論文從微分幾何學中白川德曲線的概念入手，提出廣義白川德曲線，從工程實踐的經驗中抽象出白川德曲面，研究了它們的幾何性質與內在聯系。
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