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1)  Formulae of Spherical Trigonometry
球面三角公式
2)  sine formula of spherical triangle
球面三角正弦公式
3)  spherical trigonometry
球面三角
1.
The angle with the plumb line could be determined by the deviation of the vertical with spherical trigonometry.
发射点偏差对弹道导弹射击所引起的偏差可归结为垂线、法线与地心矢径的夹角不同和瞄准方位的不同,利用球面三角知识通过垂线偏差求出垂线与地心矢径的夹角,在诸元计算软件中适当修改一下诸元计算方法,使发射坐标系与标准发射坐标系完全重合,可以完全修正垂线偏差的影响,从而可以大大提高弹道导弹的射击精度。
2.
An axonometric drawing theory to draw an affine picture starting from two given affine picture is studied in affine coordinate system by spherical trigonometry, and three conditions are given out, one is the condition of drawing orthographic projection starting from two given affine picture, the other is the condition of drawing orthographic projection starting from.
用 3 个仿射图的投射方向构成 1 个仿射坐标系,同时也构成 1 个三棱锥,在此仿射坐标系中用球面三角重新研究由两个仿射图求第 3 个仿射图的投影作图理论 ——平行线束法。
3.
Based on the theories of spherical trigonometry and theoretical knowledge about projection,this paper introduces two ways(the calculation and diagrammatic representation)of finding the shortest path in a flying range 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 。
4)  trigonometric formulas
三角公式
1.
Giving intuitive proofs of the trigonometric formulas and formulas for the sum of the powers of natural numbers, which are brief, clear and beautiful, this paper attempts to connect the history with the pedagogy of mathematics and to probe into their relation(HPM for brevity).
作为数学教育改革的一种尝试,文章将数学发展的历史与数学教育相结合,给出了自然数幂和公式与三角公式的直观证明。
5)  spherical formula
球面公式
1.
Astronomical geograpical problems with spherical formula;
球面公式在天文地理学中的应用
6)  spherical triangle
球面三角形
1.
This article introduces the basic concepts of the Spherical Geometry, the basic formula (Sine and Cosine Formula) of the spherical triangle and the application of the basic formula of spherical triangle in navigation for calculating the altitude and azimuth of celestial bodies.
文章介绍了球面几何的一些基本概念和球面三角形的基本公式(正余弦定理),以及球面三角形的基本公式在航海学中求天体计算高度和计算方位中的应用。
2.
Based on the two spacecrafts geometric relationship in spherical triangles,the kinematical model was modeled and proved to be available.
介绍了基于球面三角形求解机动时间和方位角的航天器交会运动学模型,并通过计算证明方法的可行性,这类机动不受时间约束,是多冲量交会机动的崭新思路。
3.
(Dead Reckoning) position, which carries out it by solving spherical triangle.
用解球面三角形的方法,通过两天体的球面距离,求得星位角,从而求得船位的经纬度。
补充资料:球面三角

研究球面三角形的边、角关系的一门学科。从十六世纪起由于天文学、航海学、测量学等方面的发展,球面三角逐渐形成了独立学科。

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