By taking the strategy of uniting geometry with algebra and using the method of minimal value, the relationships of intersection, parallels and perpendicular between two three dimensional spaces in four-dimensional descriptive geometry are investigated and the calculation formula of the distance between two three-dimensional spaces are given.
用形数结合的观点和条件极值法,研究了四维空间的两三维空间的相交、平行和垂直的相互关系计算出两平行三维空间的距离。
By taking the strategy of uniting geometry with algebra and utilizing the principle that the dot product of two perpendicular lines is zero, all the perpendicular problems encountered in four-dimensional space are systematically discussed.
本文用形、数结合的观点,以两线垂直数性积为零作为基础,直线与三维空间垂直的投影特征作为图解问题的依据,系统地论述了四维空间里的所有垂直问题,且各种情况均有明确的结论。