The sheet metal worker's instructor: containing a selection of geometrical problems, also ... by Reuben Henry Warn

Author:Reuben Henry Warn
Language: eng
Format: epub
Published: 1869-03-25T05:00:00+00:00

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PLATE XV.

To strike a pattern for the Tapering Sides of a Tray having

various carves.

Pig. 1 shows the plan and elevation of the article, for which a pattern for the tapering sides is required. Having drawn the plan, it is required to show the points or centres from which the various curves are struck, as shown here hy n m, h h, and I. The tapering heing equal on all sides, the curves for the bottom and top are struck from the same centre, that is, the curves i e and g c are both struck firom one centre, viz., h.

To prepare for the development of the pattern construct fig. 2, making the distance from A to J the required upright height, (fig. 1), and take the radius by which the curves a c and d e are struck, that is the distance from h io a and h to d, and mark off the same on fig. 2 from A to ^ and from h to d-, draw the line from points c and d to cut the perpendicular at e, also the distance he ox h i, and mark off the same from A to i (fig. 2), and the distance from A to ^ mark off from h to t (fig. 2). Draw a line from points i and t to k. (The radius m r, and mvyin this case, being the same as from A to * and A to 1^, do not require to be transferred to fig. 2.)

To commence describing the pattern take e c (fig. 2) as radius, and from h as centre describe the curve a c (fig. 3), and take the length of the curve from a to <? (fig. 1) and mark off a corresponding distance from ato c (fig. 3), and draw lines from a and c to the centre h. Now take the radius from eiod (fig. 2), and again using h as centre (fig. 3) strike the curve from ^ as far as the line a b. Take the distance from « to o in fig. 1, and mark off the same from e to i (fig. 3), likewise the distance from c to 8 (fig. 1); and take a like distance from a to 8 (fig. 3), and draw lines through the points thus received from the points where the curve e intersects the lines a h and c h, and produce them indefinitely as «^ and tk

Note. —In further describing the pattern the letter d will be used, it ought to have been placed on the line a &, as e on the line e b.

Take the radius k i (fig. 2), and from the curve e (fig. 3) mark off the point h on the line e i, also from d the point ff on the lino ds; using k as centre strike the curve ex, and from ff as centre strike the curve df. Again from k and g as centres, and radius k t (fig.

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