The next step is to obtain a true section of the angle of the roof at right angles to the hip line G in elevation. This is done by drawir.g at right angles to F C in plan. any line, as a b, intersecting the lines F A and F E as shown. Extend a b until it cuts the base-line G I in elevation at c. From c, at right angles to G C', draw a line, as c d, intersecting G Cl at d. Take the distance c d, and place it in plan on the line F C, measuring from i to d'. Draw a line from a to d' to b, which is the true angle desired. On this angle, construct the desired shape of the hip ridge as shown by J, each half of which divide into equal spaces, as shown by the figures 1 to 6 to 1. As the line G Cl rep-. resents the line of the roof, and as the point d' in plan in the true angle also represents that line, then take a tracing of the profile J with the various points of intersection on same, together with the true angle a d' b, and place it in the elevation as shown by and a' d" b', being careful to place the point d" on the line G making a' b' parallel to G From the various points of intersection in the profile J, draw lines parallel to F C, intersecting B C and A F at points from 1 to 6, as shown. As both sides of the profile J are symmetrical, it is necessary only to draw lines. through one-half.
In similar manner, in elevation, parallel to G draw lines through the various intersections in J', which intersect by lines drawn at right angles to F C in plan from similarly numbered points on A F and BC. Trace a line through the points thus obtained. Then will
K L be the miter-line at the bottom, and M N the miter-line at the top. For the pattern, draw any line, as 0 P, at right angles to G C1, upon which place the stretchout of J in plan or J' in elevation, as shown by the figures 1 to 6 to 1 on 0 P; and through these numbered points, at right angles to 0 P, draw lines, which intersect by lines drawn at right angles to G C' from similar intersections in the lower miter-line K L and upper miter-line N M. Trace a line through the points thus obtained. Then will R S T U be the desired pattern.
In practice it is necessary only to obtain one miter-cut--either the top or the bottom—and use the reverse for the opposite side. In other words, U T is that part falling out of R S, the same as R S is that part which cuts away from U T. The upper miter-cut butts against B in Fig. 327; while the lower cut requires a flat head, as shown at C. To obtain this flat head, extend the line I G in Fig. 328, as I W, upon which place twice the amount of spaces contained on the line A F in plan, as 6, 3-5, 4, 1, 2, as shown by similar figures on either side of 6 on the line V W. From these divisions erect vertical lines, which intersect by lines drawn parallel to V W from similarly numbered intersections in the miter-line