Let B A in Fig. 281 be the profile of a cornice, against which a molding of the profile, shown by G H, is to miter, the latter meeting it at an inclination, as indicated by C D. Construct an elevation of the oblique molding, as shown by C D F E, in line with which draw the profile G H. Divide G H in the usual manner into any convenient number of parts, and through the points draw lines parallel to the lines of the inclined molding, cutting the profile B A, all as indicated by the dotted lines. At right angles to the lines of the molding, of which a pattern is sought, lay off a stretchout, M N, in the usual manner, through the points in which draw measuring lines. Place the T-square at right angles to the lines of the inclined molding, or, what is the same, parallel to the stretchout line, and, bringing it against the points of intersection formed by the lines drawn from the profile G H across the profile B A, cut the corresponding measuring lines. In the event of any angles or points occurring in the profile B A which are not met by lines drawn from the points in G H, additional lines from these points must be drawn, cutting the profile G H, in order to establish corresponding points in the stretchout. Thus the points 3 and 13 in the profile G H are inserted after spacing the profile, as described in Problem 7, because the points with which they correspond in the profile B E are angles which must be clearly indicated in the pattern to be cut. Having thus cut the measuring lines corresponding to the points in the profile B A, draw a line through the points of intersection, as shown by O P. Then O P will be the shape of the pattern of the incline cornice to miter against the profile A B.
Fig. 281. - A Butt Miter against an Irregular or Molded Surface.