This problem differs from the preceding one in that the angle of the plan is octagonal instead of square, but like it requires a change of profile in one of the gables in order to effect a miter. In Figs. 398 and 399 are shown a quarter plan of pinnacle and the elevations of two adjacent gables of different widths but of similar bights. Let A1 B1 F1 O G1 D1 of Fig. 398 be a correct elevation and A B C G be a quarter plan of the structure. In that portion of the plan corresponding to the part of the elevation shown to the front draw the normal profile E, placing its vertical side parallel to the lines of the plan. Divide it into any convenient number of spaces, and through these points draw lines parallel to the lines of the plan, cutting C O1, the miter line in plan, as shown. In like manner place a duplicate of the normal profile, as shown by E1 in the elevation. Divide it into the same number of equal parts, and through the points draw lines parallel to the lines of the raking cornice, which produce in the direction of N O indefinitely. Bring the T-square against the points in C O1, and with it erect vertical lines, cutting the lines drawn from E1. as shown from N to O. Then a line, N O, traced through these points of intersection will be the miter line in elevation.

For the pattern of the miter at the foot of the wide gable or gable shown in elevation proceed as follows: At right angles to the lines of the gable cornice lay off a stretchout of the profile E1, as shown by H K, through the points in which draw the usual measuring lines. Placing the T-square at right angles to the lines of the cornice, or, what is the same, parallel to the stretchout line, and bringing it against the several points in N O, cut corresponding measuring lines. Then a line traced through the points of intersection thus obtained, as shown from L to M, will be the putPattern Problem . - 209 tern of the miter at the foot of the gable shown in elevation. For the modified profile of the gable molding upon the narrow side proceed as follows: Draw a correct elevation of the narrow side, reproducing therein the miter line N O from Fig. 398 (reversing the same), as shown by R P in Fig.399, and through the points, also reproduced from N O, carry lines parallel to the lines of the gable cornice indefinitely, as shown. Draw a duplicate of the normal profile at any convenient point outside of the gable cornice, as shown by E2, placing its vertical side at right angles to A2 R, or the lines of the cornice. Divide E2 into the same number of parts as used in the other profiles, and through the points draw lines at right angles to the lines of the cornice, intersecting the lines drawn from P R. Through these points trace a line, as indicated by E3, which will be the modified profile.

Fig. 398 - Quarter Plan and Elevation of Octagon Pinnacle, Shouting Miter Between Moldings of Adjacent Gables of Different Pitches.

Fig. 399. - Elevation of Narrow Side of Octagon Pinnacle, Showing Same Miter as in Fig. 398.

To lay out the pattern take the stretchout of E3 and lay it off on any straight line drawn at right angles to the lines of the cornice, as S T, and through the points in it draw the usual measuring lines. Place the T-square at right angles to the lines of the gable cornice, and, bringing it against the points in P R, cut the measuring lines, as indicated by the dotted lines. Then a line traced through these points of intersection, as shown by U T, will be the pattern for the molding at the foot of the gable on narrow side.