Metal Plate Work Its Patterns And Their Geometry Also Notes On Metals And Rul
Metal Plate Work Its Patterns And Their Geometry Also Notes On Metals And Rul
C T Charles Thomas Millis
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75) de- scribe arcs intersecting in c. With c and c' as centres and radii respectively equal to cA"and c'A' (Fig. 75 "l describe FIG. 76. arcs intersecting in A', and with A' and c as centres and radii 6 A" and c 6 (Fig. 75) describe arcs intersecting in 6. Simi- larly with A' and b as centres and radii respectively equal to A A" and b A (Fig. 75) describe arcs intersecting in A. Join A A'. Through E, d, c, 6, A draw an unbroken curved line. Also through E', d', c', A' draw an unbroken curved l...ine. Then E c A A' E' is the pattern required. The lines d d\ c c', E d\ d c', &c. , are not needed for the working, they are drawn for the reason stated in 82, end of Problem XXIII. (85. ) If V is inaccessible, corresponding points c, c', d, d' can thus be found. From the point E' along the arc E' A' set off an arc proportional to the arc E c in the following manner. Join c (line not shown in fig. ) and through 0' draw OV (also not shown in fig. ) parallel to Oc and cutting arc E' A' in c' ; then arcs E' c' and E c will be pro- portional.
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