ARITHMETIC UNIT OF INTERSECTION OF TWO PLANES

摘要

PURPOSE:To easily calculate a straight line where one plane and another plane are intersected by obtaining a nodal point from the reverse matrix of the matrix transformed to the first angular coordinate system and the matrix transformed to the second angular coordinate system. CONSTITUTION:The unit is the one to calculate the straight line where the first triangle expressed by three independent points P1, P2 and P3 of an orthogonal coordinate system and the second triangle expressed by three independent points P4, P5 and P6 of the orthogonal coordinate system are intersected. The origin of the orthogonal coordinate system is made as the origin, and a reverse matrix M-1 of a matrix M1 transformed to the first angular coordinate system with the direction linking the origin and P1, and the direction linking P1 and P2 and the direction linking P1 and P3 as the axis respectively is obtained. Further, the origin of the above-mentioned orthogonal coordinate system is made as the origin, and a matrix N transformed to the second angular coordinate system with the direction linking the origin and P4, the direction linking P4 and P5 and the direction linking P4 and P6 as the axis respectively is obtained. The intersection is obtained from the reverse matrix M- and the matrix N.