1728年，奥伊勒绘出了曲面上测地线的微方程。
In 1728 Euler gave differential equations for geodesics on surfaces.
并针对叶片主干部分的椭圆柱面，分别推导其测地线和非测地线的微分方程序。
For the elliptic cylindrical surface which is the trunk of the blade, the geodesic and non-geodesic differential equations are deduced.
本文用微分几何理论推导出纤维缠绕复合材料压力容器的非测地线缠绕轨迹、包角方程及绕丝头运动方程。
Non geodesic trajectory mandrel rotation and payout eye motion equations for fiber reinforced composite pressure vessels are derivated by theory of differential geometry.
测地线在光滑曲面上有很好的几何性质，也有相应的测地线偏微分方程表达以及一些解析的方法来求解。
Geodesics on smooth surface have many good geometric properties and there are equivalent partial differential equations and analytical methods solving it.
测地线在光滑曲面上有很好的几何性质，也有相应的测地线偏微分方程表达以及一些解析的方法来求解。
Geodesics on smooth surface have many good geometric properties and there are equivalent partial differential equations and analytical methods solving it.
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