In Fig. 395, let B C D be the angle in plan at which the two moldings are to join, U O V the angle in elevation, and A or A' the normal profile of the raking mold. To form a miter between moldings meeting under these conditions a change of profile is required. To obtain the modified profile for the horizontal arm and the miter line in elevation proceed as follows: Draw the norma] profile A with its vertical side parallel to the lines in the plan of the arm EXDC, corresponding to the front of the elevation. Draw a duplicate of the normal profile in correct position in the elevation, as shown by A1. Divide both of these profiles into the same number of parts, and through the points in each draw lines parallel with the plan and with the elevation respectively, all as indicated by the dotted lines. From the points in the miter line of the plan C E, obtained by the lines drawn from the profile A, carry lines vertically, intersecting the lines drawn from A1. Then a line traced through the intersections thus obtained, as shown from N to O, will be the miter line in elevation. From the points in N O carry lines horizontally along the arm of the horizontal molding N O U Y, as shown. At any convenient point outside of this arm, either above below it, draw a duplicate of the normal profile, as shown by A", which divide into the same number of parts as before, and from the points carry lines vertically intersecting the lines drawn from N O, just described Then a line traced through these points of intersection, as shown by T S, will give the required modified profile.
Fig.395. - From the Profile of a Given Inclined Molding, to Establish the Profile of a Horizontal Molding to Miter with it at an Octagon Angle in Plan, and the Patterns for Both Arms.
For the patterns of the arm Y N O U proceed as follows: At right angles to the same, as shown in plan by W E C B, lay off on any straight line, as G F, a stretchout of the profile T S, all as shown by the small figures 12, 22, 32, etc. Through these points draw measuring lines in the usual manner. With the T-square parallel to the stretchout line, and brought against the points of the miter line E C in plan, cut corresponding measuring lines, as indicated by the dotted lines, and through these points of intersection trace a line, as shown by K H. Then K H will be the shape of the end of Y N O U to miter against the raking molding.
It will be easily understood that the points as found upon the line E C arc just the same as would be obtained there if the newly obtained profile were drawn into the plan of the arm C B W E and the points were dropped from it to the line E C according to the rule. For the pattern of the raking molding, at right angles to the arm N Z V O in the elevation lay out a stretchout, L M, from the profile A1. Through the points in this stretchout draw measuring lines in the usual manner. Place the T-square parallel to the stretchout line, and, bringing it against the several points in the miter line in elevation N O, cut corresponding measuring lines, as indicated by the dotted lines. Then a line traced through these points of intersection, as shown by P R, will be the shape of the cut on the arm N Z V O to miter against the horizontal molding.