球面三角

利用球面三角建立三维图形旋转变换参数间的关系

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

郭守敬还做了与球面三角有关的工作。

He also did work relating to spherical trigonometry .

重点讨论了应用MDTAPI进行CAD系统的开发方法，提出了球面三角算法在夹具组装中空间角度的可视化计算中的应用方法。

Applying MDT API , the method of the developing CAD system is discussed with emphasis on . The spherical triangle arithmetic is presented hi the fixture assembled vision calculation of space angle .

一种新的球面三角投影：等角比投影（EARP）

A New Projection for Spherical Triangle : Equal Angle Ratio Projection ( EARP )

基于球面三角网格逼近的等距曲面逼近算法

Offset surface approximation algorithm based on the triangulation approximation to sphere

球面三角与计算机程序相结合解空间角度

Spherical Triangle and Computer Program Combined to Solve Space Angle

球面三角在飞机设计制造中的应用

The Application of Spherics to Airplane Design and Manufacture

利用球面三角建立通用的汽油机燃烧室几何模型

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

基于球面三角与三棱锥关联的球面三角图解法

Spherical Triangle Graphic Methods Based on the Relation of Spherical Triangle and Triangular Pyramid

球面三角公式繁杂，学生在实际运用时感到困难。

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

基于等角比例投影的球面三角四叉树剖分模型逆问题部分实现反投影算法和滤波反投影算法。

The reconstruction algorithms include back projection algorithm and filter back projection algorithm for inverse problem .

运用球面三角知识量化太阳周日视运动规律

Exercise . The application of spherical surface triangle on the quantization of sun circle daily turn around

用轴测投影图与球面三角相结合求解空间角度，具有精度高和解题迅速的特点。

Axonometric drawing and spherical triangle combined to solve space angle has the characteristic of high precision and produces rapid solution .

采用球面三角法推导了这些关系，作为雷达伺服系统测量和控制波束指向角度的基础。

Such relations are derived from spherical triangular equations and lay the foundation for radar servo mechanism measurement and beam direction control .

汪莱的工作说明，18世纪末期中国已经具备球面三角的系统知识。

Wang 's work shows that China was already in possession of systematic knowledge of spherical triangle in the late 18 th century .

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。

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

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。

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 .

《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。

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 .

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。

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 .

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。

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 .

本系统设计和实现了是一个面向球面三角计算、显示的计算机辅助设计系统，该系统具有偏转，显示二、三维图形，坐标变换、真实感渲染和文件存储等功能。

The system designs and achieves a spherical triangle 's calculation , and a showing assistant design of computer , the system have these functions such as defluxion , showing two-dimensional and three-dimensional graph , real romance , and documentary storage etc.

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。

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 .

球面四元三角网具有多分辨率和层次组织的特性，已成为目前研究球面问题的有效方法之一，本文主要讨论任意球面三角格网p的三拓扑数计算。

Spherical QTM ( Quaternary Triangular Mesh ) is efficient to deal with the global data because of its advantages of multi-resolution and hierarchy .

介绍了球面四元三角网（QTM）的剖分原理；

The partition principle of QTM on sphere is introduced .

在球面四元三角格网（QTM）基础上，以菱形块（Diamonds）作为基本单元，构建了全球离散格网的分块层次模型。

In this paper , a hierarchical model of the global discrete grids is approached based on quaternary triangular mesh ( QTM ), in which Diamonds are regarded as basic units .

基于球面四元三角网剖分的层次空间关系推理

The atmospheric layer between the mesosphere and the exosphere . Hierarchical Spatial Relation Reasoning Based on Spherical O-QTM Partition

球面四元三角网（QTM&QuarternaryTriangularMesh）结构是目前研究全球海量数据管理的有效方法之一。

QTM ( Quarternary Triangular Mesh ) structure on spherical surface is an efficient method in managing the global large quantities of the earth data .

支持该投影的球面剖分模型的地理坐标与球面三角格网之间的坐标转换可转换为均分三角网格的计算问题。

In EARP , coordinate translation between geodetic coordinates and spherical triangle mesh is reduced to the relation of a point with a discrete 2D triangle mesh .

在等弧长比投影族球面正二十面体投影基础上设计了球面三角四叉树剖分模型（EARPIH）。

Based on the spherical icosahedron case of Equal Angle Ratio Projections ( EARP ), a new Spherical Triangle regional Quadtree ( EARPIH ) is constructed .