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As in the details of such a structure, some of the solids, which have so far been dealt with singly, are joined to, or made to penetrate, one another, their surfaces by such junction or penetration produce a line or lines which require accurate delineation in any drawing having preten- sions to truthfulness. Such lines are, however, not only required for the correct representation of the objects in combination, but they are neces- sary to be known before the objects represented could be constructed in any material. It is then to the solution of problems by the aid of projection presented by such combinations, that attention is now to be directed. In determining the lines of intersection of two solids, the simplest possible method of procedure so long as it gives correct results should be aimed at ; and although plane-surfaced solids are probably not so often met with in combination in mechanical details as they are in building constructions, yet it is necessary that their intersections should be thoroughly understood by the draughtsman. The introductory pro- blems in this part of the subject will therefore consist of those in which the intersections of plane-surfaced solids only are required to be found. 62. One of the first facts realized by the student in commencing the study of Projection, was that the intersection of two planes at any angle produced a straight line. It follows from this that the intersections of plane solids must also be straight lines, as the surfaces which inter- sect are planes. This consideration, then, is the key to the solution of any problem in which the intersections of plane-surfaced solids are 142 MECHANICAL AND ENGINEERING DRAWING