Abstract
Above all, of course, we should obtain a view of all possible transformations of a rectangular coordinate system in space. These transformations are really fundamental for all geometry of space, so that, for this very reason, we could not overlook them in this lecture course. The most general change in the coordinate system that comes up for consideration is made up, as in the plane, of the following component parts: (1) translation; (2) rotation about the origin; (3) reflection; (4) change in the unit of length.
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