Metal Plate Work Its Patterns And Their Geometry Also Notes On Metals And Rul

Cover 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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