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本文根据由几何形相交的维数公式推导的D~4线中心投影公式,说明D~4中心投影的同素性、积聚性和重积聚性。应用Monge法提出D~4线中心投影的基本作图法,以及当线投影中心与中心投影面交叉垂直时的中心投影作图法。通过作图,系统地分析各种位置的线投影中心,并选定线投影中心的合理位置;论述直线的灭点和平面的灭线以及其从属关系;提出当直线与中心投影面交叉垂直时的灭点的求法;讨论各种特殊位置几何形的中心投影特性。
According to the D ~ 4 line center projection formula deduced from the geometry formula of intersecting geometry, this paper shows the homogeneity, accumulation and accumulation of D ~ 4 center projection. The Monge method is used to propose the basic mapping method of D ~ 4 line center projection and the center projection method when the line projection center and the center projection plane are perpendicular to each other. Through mapping, we systematically analyze the line projection centers of various locations and select the reasonable positions of line projection centers. We also discuss the out-of-line and off-line of the lines and their subordinate relations. When the straight line and the center projection plane are perpendicular Of the vanishing point of the method; to discuss a variety of special location geometric center projection characteristics.