spherical trigonometry

For every large time intervals and for stars near to the pole, it is necessary, however, to use the exact formulae of spherical trigonometry.

对于很长的时间间隔和靠近极星的恒星，必须使用精确的球面三角公式。

Abstract Based on the theory of plane deflection, the calculation equations were established in the dynamic coordinate and borehole deflection curves were plotted by applying space analytic geometry and spherical trigonometry.

根据平面弯曲理论，应用空间解析几何和球面三角等数学方法，在动态坐标系中建立计算公式，并绘出孔斜变化曲线。

Based on the theories of spherical trigonometry and theoretical knowledge about projection, this paper introduces two methods ( calculation and diagrammatic representation) for finding the shortest path in a flying voyage and the conditions to ensure a plane to fly in this path.

根据球面三角理论和投影理论知识，用计算和图示两种方法给出了求解航程中最短路径和保证飞机在此路径中航行的条件。

Taking advantage of the spherical trigonometry and a higher order approximation, the horizontal coordinates of the position for the midpoint and the departure point of the trajectory can be calculated directly in the spherical polar coordinates.

轨迹中点和起始点水平坐标的求得可以利用球面三角，直接在球极坐标中进行，并采用一些较高的近似。

Students may be confronted with difficulties in the application of complicated formulae of Spherical Trigonometry.

球面三角公式繁杂,学生在实际运用时感到困难.

Methods of spherical trigonometry and direction cosine matrix were applied respectively to derive the bracket error, and the two methods had the same error formula and the same calculation results.

应用球面三角法和方向余弦矩阵法分别推导出双轴陀螺平台的支架误差公式，发现由这两种方法推导出来的公式计算结果是一致的。

Until about 1450 spherical trigonometry consisted of loose rules based on Greek, Hindu and Arabic versions.

差不多直到1450年球面三角的内容由一些不严谨的法则组成,这此法则的基础是希腊 、 印度和阿拉伯译本.

The mathematical models of the dynamic target and the tested apparatus are constructed with spherical trigonometry spherics.

运用球面三角学，建立了动态靶标与被测仪器间的数学模型；

He also did work relating to spherical trigonometry.

郭守敬还做了与球面三角有关的工作。

Modeling of Combustion Chamber for Gasoline Engines on the Basis of Spherical Trigonometry

利用球面三角建立通用的汽油机燃烧室几何模型

Applying Spherical Trigonometry Method to Establish the Interconversion between 3D Rotation Transformation Parameters

利用球面三角建立三维图形旋转变换参数间的关系

Application of Spherical Trigonometry in Design of Spherical Tanks

球面三角学在球罐设计中的应用

Some Results on the Spherical Trigonometry in China during the Seventeenth to Nineteenth Centuries

17&19世纪我国在球面三角学方面的研究成果

It also made innovations in terms of calculation methods; for instance ， the use of mathematical approaches like cubic interpolation ， polynomial equations to the 4th order and spherical trigonometry.

《授时历》在计算方法上也有创新，例如三次插内插法、四次多项式方程、球面三角法等数学方法的使用。