空间角投影规律性的研究

A Study on Projection Law of Space Angles

本文是文献[1]的续篇。专门研究“线线型”空间角的投影规律、定量变换的自动定位及其2~n等分角线投影的确定等问题。文中通过对该类型空间角的组成形式进行统计分类,确立了适用于所有组合形式的几何模型,完善了当前广泛使用的、建立在某种特定条件下的空间角及其正投影间的函数关系表达式,并揭示了它们之间的内在规律。除可静态地解决空间角的计算外,还可动态地研究空间角定量变换(包含一般位置非直角投影存真)的自动定位,并首次提出了解决角度2~n等分角线投影的数学表达式。

This paper is a follow-up of reference[1]. It deals specially with the 'line-line type' space angle projection law automatic location of quantitative transformation and defination of 2~n setris curve projections. By statistical sorting to the combinatorial from of this kind of space angles, the paper establishes geometric model which is fit for any combinatorial forms, consummates the functional relation expressions of space angles and its orthogonal projec- tion which are widely used established under some particular conditions, and also discloses the intrinsic law between them. Not only can it solve the space angle calculation statically, but it can also study the automatic location of quantitative transformation of space angles dynamically. And for the first the, it gives out the mathematical expression to solve the 2~n sectrix curve projections.