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Figure 4.37

                                       4.14 MUTUALLY PERPENDICULAR PLANE


                  From solid geometry we know that planes mutually perpendicular if one of them passes
            through a perpendicular to the other.
                  Through a given point A we can pass an infinity of planes perpendicular to a given plane Δ. In
            space, these planes form a pencil of planes, the axis of which is a perpendicular dropped from point
            A to plane Δ.
                  We pose the following problem: to pass a plane, perpendicular to a plane Δ given by traces,
            through a given line l (Fig. 4.38).
















                                                          Figure 4.38


                  Other cases of this problem are presented in Fig. 4.39, 4.40, 4.41.

















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