To Describe A Pattern For A Miter Joint For An O G Gutter At Right Angles

Let ABCD, fig. 40, be the given gutter; divide the curved line BO into any number of equal parts from the points; draw lines parallel to AD, as 1, 2, 3, etc.; then set off the right angle line ABE, fig. 41; make BF equal to AB, and draw the line CF parallel to AB; make AB and CF equal in length to AD, and draw the line AC; make FD, equal in length to the curved line BC; set off on the line FD the same number of equal distances, as in the curved line BC; from the points draw lines parallel to CF, as 1, 2, 3, etc.; make CF equal to BE, also, each of the parallel lines bearing the same figures, as 1, 2, 3, etc.; make DE equel to CD, then a line traced through the points will form the pattern.

Fig. 41.

Fig. 40.

Cornice. To Describe A Pattern For A Miter Joint For An 0 G Cornice At Right Angles, Also An Offset

Describe the right angle line AFE, fig. 42; let ABODE be the given cornice; divide the curved line BCH into any number of equal parts; from the points draw lines parallel to AF, as l, 2, 3, etc. Then set off the right angle ABCF, fig. 43; make CD equal to AB; make DG equal in length to the curved line BCH; make GE equal to HD; make EF equal to DE; set off on the line DG the same number of equal distances as in the curved line BCH; from the points draw lines parallel to BC, as I, 2, 3, K, H, etc. Make BC and ID equal to AF; also, each of the parallel lines bearing the same figures as 2, 3, 4, etc.; make KG and HE equal to DE; then a line traced through the points B, I, 2, 3, 4, etc.; KHF will form the pattern for a Miter Joint.

When there is to be an offset or projection at right angles, let AB, fig. 44, be the depth of the offset or projection; make each of the parallel lines the same in length as AB, LI, 22, 83, etc., then a line traced through the points will form the pattern.

Fig. 42.

Fig. 43.

Fig. 44.

Octagon. To Describe A Pattern For An Octagon 0 G Lamp Top Or Cover

Describe a circle that will cut the required Octagon, fig. 45; draw a line that will cut the centre of two sections, as AI; erect the perpendicular line HF; let ABCDEFJ be the given top or cover; divide the curved lines BC and EF into any number of equal parts; from the points draw lines parallel to FH, as 1, 2, 3, etc., H, 1, 2, 3, etc.

Set off the line AF, fig. 46; draw the line GE at right angle to AF; make AB equal to AB in fig. 45; make BC equal in length to the curved line BC; divide BC into the same number of equal distances, as in the curved line BC; from the points draw lines parallel to GE; make CD equal to CD, and DH equal to DE; make HF equal to the curved line EF; divide HF into the same number of equal distances, as in the curved line EF; from the points draw lines parallel to GE; make AGAE and BIBJ equal to GA; also, each of the parallel lines bearing the same figures as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, H, 1, 2, 3, 4, 5, 6; then a line traced through the points will form the pattern.

Fig. 45. A Top may be described in any number of Sections by this Rule.

Fig. 46.