测地线方程是测地线对应的曲线方程。测地线是线长极短的线，满足其切矢量沿线平移。
将定量因果原理应用于物理学中,推导出了测地线方程(geodesic equation)和切丛联络的挠率张量(torsion tensor),阐明了定量因果原理在物理学中的又一新的应用。
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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.
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