Practical Miter Cutting

shown, profile, line, draw, lines, moulding, horizontal, pattern, top and return

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In Fig. 302 is shown front view of an angular pediment with hori zontal returns at bottom A and top B. In this problem, as in others which will follow, a change of profile is necessary before the correct pattern for the returns can be developed. In other words, a new pro file must be developed from the given or normal profile before the pat terns for the required parts can be developed. It should be under stood that all given profiles are always divided into equal spaces; there fore the modified profiles will contain unequal spaces, each one of which must be carried separately onto the stretchout line. Bearing this in mind, we shall proceed to obtain the modified or changed pro files and patterns for the horizontal returns at top and foot of a gable moulding, as at B and A in Fig. 302, the given profile to be placed in the gable moulding C. In Fig. 303, let C represent the gable moulding placed at its proper angle with the horizontal moulding G II. Assurn-. ing that 6" 6° is the proper angle, place the given profile A at right angles to the rake, as shown; and divide same into equal spaces 1 .S shown from 1 to 10, through which points, parallel to 6" 6°, draw lines towards' the top and bottom of the raking moulding. Assuming that the length 6' 6° is correct, take a tracing of the profile A, and place it in a ver tical position below at A' and above at A', being careful to have the points 6 and 6 in the profiles directly in a ver tical position below the points 6' and 6°, as shown. From the va rious intersections in the profiles A' and A' (which must contain the same number of spaces as the given profile A), erect vertical lines intersecting lines drawn through the pmfile A, as shown at the lower end from 1' to and at the upper end from 1° to 10°. Trace a line through the points thus obtained. Then will 1' 10" be the modified profile for the lower horizontal return, and 1° 10° the modified pmfile for the upper horizontal return. ' Note the difference in the shapes and spaces between these two modified profiles and the given profile A. It will be noticed that a portion of the gable moulding miters on the horizontal moulding G H from 6' to 10'.

For the pattern for the gable moulding, proceed as follows: At right angles to E F, draw the stretchout line J K, upon which place the stretchout of the given pmfile A, as shown by the figures 1 to 10 on J K. Through these figures, at right angles to J K, draw lines as shown, which intersect with lines drawn at right angles to E F from similarly numbered intersections in 1° 10° at the top and 1" 6' 10' at the lower end. Trace a line through the intersections thus ob tained. Then will L M N 0 be the pattern for C.

For the pattern for the horizontal return at the top, draw a side view as shown at B, making P R the desired projection, and the profile 1 10 on B, with its various intersections, an exact reproduction of 1° 10° in the elevation. Extend the line R T as R S; and, starting from 10, lay off the stretchout of the profile in B as shown by the figures 1 to 10 on R S, being careful to measure each space separately. At right angles to R S draw the usual measuring lines, which intersect by lines drawn parallel to S R from similarly numbered points in the profile in B. Trace a line through points thus obtained. Then will

U V 10 1 be the pattern for the return B.

In similar manner, draw the side view of the lower horizontal return as shown at D, making the projection W 10 equal to P R in B. The profile shown from 1 to 10 in D, with all its divisions, is to be an exact reproduction of the profile 1a to 10= in elevation. Extend the line IN X as X Y, upon which lay off the stretchout of the profile 1 10 in D, being careful that each space is measured separately, as they are all unequal. 'nuough the figures on X Y draw lines as shown, which intersect by lines drawn parallel to W Y from the various intersections in the profile in the side D. A line traced through points thus obtained, as shown by Z V, will be the desired cut, and 1 Z V 10 the pattern for the return D.

In Fig. 304 is shown a front view of a segmental pediment with upper and lower horizontal returns.

This presents a problem of obtaining the pattern for horizontal returns at top and foot of a segmental pediment, shown respectively at A and B, the given profile to be placed in C. The principles used in obtaining these patterns are similar to those in the preceding problem, the only difference being that the mould ing is curved in elevation. In Fig. 305 the true method is clearly given. First draw the center line B D, through which draw the horizon tal line C Cl. From the line C establish the height E; and with the desired center, as B, draw the arc E C intersecting the line C at C. In its proper position on a vertical line F G, parallel to D B, draw the given profile of the curved moulding as shown by A, which divide into equal spaces as shown from 1 to 10. Through these figures, at right angles to F G, draw lines intersecting the center line D B as shown.

Then, using B as center, with radii of various lengths corresponding to the various distances obtained from A, describe arcs as shown, ex tending them indefinitely below the foot of the pediment. The point C or 6" being established, take a tracing of the profile A, with all the various points of intersection in same, and place it as shown by being careful to have the point 6 in come directly below the point 6" in elevation in a vertical position. Then, from the various inter sections in erect vertical lines intersecting similarly numbered arcs drawn from the profile A. Trace a line as shown from 1" to 10", which is the modified profile for the foot of the curved moulding.

Establish at pleasure the point 1' at the top, and take a tracing of the given profile placing it in a vertical position below 1', as shown by A'. From the various intersections in A' erect vertical lines intersecting similarly num bered arcs as before. Through these intersections, shown from 1' to 10', trace the profile shown, which is the modified profile for the top return.

The curved moulding shown in elevation can be made either by hand or by machine. The general method of obtaining the blank or pattern for the curved moulding is to average a line through the extreme points of the profile A, as I J, extending it until it intersects a line drawn at right angles to I) B from the center B, as B H, at K.

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