geodesic line

1. By giving the definitions of geodesic main torsion and torsion line, discussing their some properties.
   即两曲面交线的挠率可以用两曲面的测地挠率、法曲率及两曲面的夹角表示。
2. An algorithm for computing the geodesic line between the two points of an algebraic surface was presented.
   给出了求解代数曲面上两点之间测地线的一种算法。
3. A nonlinear finite element method is proposed for geodesic line generation in cutting pattern for cable-enforced membrane structures.
   针对索膜结构裁剪分析中的测地线生成提出了一种全新的非线性有限元法。
4. SEISMIC RESPONSE ANALYSIS OF THE SINGLE LAYER RETICULATED DOMES WITH GEODESIC GRID Secondary geodesic line method for cutting pattern analysis of fabric structures
   短程线型单层球面网壳抗震分析膜结构裁剪膜片展开的二次测地线法
5. In order to transform conveniently the directional angle of a geodesic line into the geodetic azimuth, the solution of the meridianal convergence is expressed by geodesic coordinates of this point.
   该解式直接采用该点的测地坐标来求解子午线收敛角，从而能方便地将测地坐标系中任一大地线的方向角转换为大地方位角。
6. Geodesic line generation by nonlinear finite element method in cutting pattern for cable-enforced membrane structures
   索膜结构裁剪分析中测地线生成的非线性有限单元法
7. Secondary geodesic line method for cutting pattern analysis of fabric structures
   膜结构裁剪膜片展开的二次测地线法
8. The minimum potential energy principle is used to prove that the balance of equal-tension geometrical nonlinear cables is achieved at the geodesic line when it slides freely on membrane surface.
   首先根据最小势能原理证明了两端固定的几何非线性等张力索在膜面上自由滑动时的静力平衡位置，即为膜面上两个固定点之间的短程线-测地线；
9. The path of photon and the geodesic line of curved space
   光子路线与弯曲空间短程线
10. The geometric property of natural path on developable surface is analyzed, and it is proved that the natural path and the geodesic line is equivalent on the developable surface.
    分析了可展面上自然路径的几何本质，推演证明其在可展曲面上与测地线的等价性。
11. In the cutting-pattern design, the geodesic lines are taken as cutting pattern line from which pattern shapes of air-supported membrane structure are gained.
    以测地线为裁剪线进行裁剪设计，得到充气膜结构的施工下料尺寸。
12. The calculating examples show that the method to simulate the curved surface is simple and has a good applicability, the dynamic relaxation method to calculate the geodesic line on the curved surface is highly practical and has high precision.
    分析结果表明曲面模拟方法适用性强，简单方便，用动力松驰法计算短程线精度高、实用性强。

noun

1. (mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere)

   Synonym:    geodesic