The tinsmiths' Pattern manual by Little Joseph Kane

Author:Little, Joseph Kane. [from old catalog]
Language: eng
Format: epub, pdf
Tags: Tinsmithing, Sheet-metal
Publisher: Chicago, The American artisan press
Published: 1894-03-25T05:00:00+00:00

centres from wluch tLe semicircles are described) perpendicular to X X' and cutting the eemicircular arcs in the required points c and c\ Join c c' and produce it meeting X X' in V ; tnis point will be the plan of the apes of the cone of which our tapering body is a frustum. This point is by no means always within what may be termed workable reach, as for instance where the two semicircles are nearly equal the lines X X' and ec' therefore very nearly parallel, and the producing c c' to V impracticable. We will work under both suppositions.

(63.) If V is accessible, then divide the larger semicircle into any convenient number of parts (four parts only are taken in the figure in order to keep it clear), as Ah,bc, c d, d E. Join h and dioY (c iig already thus joined, the lines from 6 and <J to V are only drawn in the fig. as far as the smaller semioircle) by lines cutting the smaller semicircle in 6' and d'. Then A A', h b', c c\ &c., are the plans of generating lines of the frustum (tapering body), and in order to draw its pattern their true lengths must be found.

(64.) If V is inaccessible, then dieide the smaller semicircle into four parts (the same ' convenient number ' of parts that the larger semicircle was divided into), in the points h', c\ and <?', and join 6 \>\ c c', and d d\

The true lengths of h h\ c c\ &c., are found as follows : From E' draw a line perpendicular to X X' and cutting A" F in F, and join EF. Then E F is the true length of EE'. Now make E' I) equal tp d d' and join D F ; then D F is the true length of dd'. Next set off E' C equal to c c', and E' B equal to 5 &'; and join C F and B P. Then C F and B F are the true lengths respectively of cc' and 6 6'. The true length of A A' we already have in A A", and as this is the longest generating line of the frustum, E F will be the shortest.

We proceed now to find the distance the points A and 6', 6 and c', c and d', &c., are apart, which we do by finding the true lengths of the lines A 6', 6 c', c d', and d E', joining the points. Through 6' draw 6' 6" perpendicular to A 6', and eyual to tho given height,- Join A 6"; then A b" may be

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