The problems given in this section arc such as occur in joining moldings, pipes and all regular continuous forms at. any angle and against any other form or surface, and in fact include everything that may legitimately be termed Miter Cutting.
In the problems of this class two conditions exist, which depend upon the nature of the work. According to the first, a simple elevation or plan of the interceding parts shows the miter line in connection with the profile, which is all that is necessary to begin at once with the work of laying out the patterns.
It frequently happens, however, that moldings are brought obliquely against sloping or curved surfaces in such a manner that no view can be drawn in which the miter line will appear as a simple straight line. Hence it becomes necessary to produce by the intersection of lines a correct elevation of the intersections of the various members of the molding, which when done results in the much sought miter line. Or it may be necessary to develop a correct profile of some oblique member or molding in order to effect a perfect miter. Thus some preliminary drawing must he done before the work of laying out the miter patterns can be properly begun, which constitutes the second condition above referred to and forms the great reason why the pattern draftsman should understand the principles of projection, which have been simplified for his benefit, in Chapter III (Linear Drawing).
In the arrangement of the problems those which fulfill the first condition will precede those of the second, and all of a similar nature will, so far as possible, be placed near together, so that the reader, knowing the kind that is wanted, will be able to find it with little difficulty. It will also be to his advantage before reading any of the problems in this chapter to read carefully the Requirements and the general Rule governing this class of problems given in Chapter V (Principles Of Pattern Cutting) on pages 76 and 77.