The centerline of elastic rod or elastic filament can be abstracted as space curves to deal with them by the knowledge of the theory of space curve and differential geometry.
由于弹性杆的中心线或弹性细丝可以抽象成空间曲线，然后根据空间曲线论和微分几何的知识进行处理。
The geometric continuity of two regular curves at the connection point can be discussed from differential geometry and Algebra.
关于两段正则曲线在公共节点处的几何连续性的问题可以从微分几何和代数的角度考虑。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
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