对三个投影面无平行、垂直关系,而对三个投影面都倾斜的直线称为一般位置直线。直线与H,V,W三个投影面的夹角一般分别用α,β,γ表示。一般位置直线的各投影与投影轴倾斜且不能反映AB与各投影面的夹角,且三个投影均为缩短了的直线段。
本文论述了一般位置直线与各投影面的夹角相互关系问题及其在命题、解题方面的应用。
The relationship between the oblique line and every projection plane included Angle, and It's application on problems proposed and solved were discussed in the paper.
在画法几何投影变换中,不论用换面法或旋转法,一般位置直线均需两次变换才能变成投影面垂直线。
In the transformation of descriptive geometry, no matter the method of change plane or revolve, the oblique line can be changed to a vertical line in two successive transformations.
提出用重影线法判断两重影直线的相对位置和求解一般位置直线与平面相交求交点判别可见性的新方法。
A new method was put forward to find the intersection line and determine its visibility of general position lines and planes using overlapped projection lines.
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