To construct a square miter between moldings of dissimilar profiles requires two distinct operations. The miter upon each piece is to be cut as it would ap-pear when intersected by the other molding. Let A B and A1 B1 in Figs. 279 and 280 be the profiles of two moldings, between which a square miter is required. As, of course, the two arms of the miter are different, it will be necessary to draw an elevation of each showing the proper outline against which it is to miter. Beginning, therefore, with the profile A B, project from it an elevation, as shown by F C D E, Fig. 279, terminating such elevation by the profile of the other molding, A1 B1, as shown by F E. Then, as in the case of Problems 1 and 6, the line F E becomes the miter line, and the method of procedure is the same as in those problems. Divide A B into any convenient number of parts in the usual manner, from which carry lines horizontally against F E. At right angles to the lines of the molding lay off a stretchout, G H, of the profile A B, through the points in which draw the usual measuring lines. Bring the T-square against the points of intersection in the line E F, and cut the corresponding measuring lines. Then a line traced through these points, as shown by F1 E1, will give the shape of the cut on the piece A B to fit against the profile E F. For the other piece proceed in the same manner, reversing the order of the profiles. From its profile A1 B1 produce the elevation K M N L, Fig. 280, completing same by means of the profile of the first molding, A B, as shown by M N. Divide A1 B2 m the usual manner. Through the points draw lines cutting M N. At right angles to this piece lay off the stretchout O P of the profile A1 B1, through the points in which draw measuring lines, as shown. With the T-s uare at right angles to the line K M or N L, and brought against the points in M N, cut corresponding measuring lines drawn through OP. A line traced through these points, as shown by M1 N1, will be the shape of the end of the piece required to fit against the profile M N. In the event of the points obtained by spacing the profiles A B and A1 B1 not meeting all the points in the profiles F E and M N necessary to be marked in the pattern, then lines must be drawn backward from such points in profiles M N and E F, cutting the profile A1 B1 or A B, as the case may be Corresponding points are then to be inserted in the stretchouts, through which measuring lines are to be drawn, which, in turn, are to be intersected by lines dropped from the points. An illustration of this occurs in Fig. 280, where it will be seen that no point obtained by the dividing of the profile A1 B1 strikes the point X of the miter line, which is absolutely necessary to the shape of the pattern. Therefore, after spacing the profile, a line is drawn from X back to A1 B1, foring the point No. 6 1/2. In turn this point is transferred to the stretchout O P, also marked 6 1/2, from which a measuring line is drawn in the same manner as through the other points in the stretchout, upon which a point from X is dropped, as shown by X'. In actual practice such expedients as this must be resorted to in almost every case, because usually there is less correspondence between the members of dissimilar profiles, between which a miter is required, than in the illustration here given. By this means profiles, however unlike, can be joined.

Problem 7 Miter Between Two Moldings Of Different  282

Fig. 279.

Problem 7 Miter Between Two Moldings Of Different  283

Fig. 280.

Miter between Two Moldings of Different Profiles.