Arithmetical Calculations for Weaving Students

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Kile. — As the units of apace in patten) of given cloth is to units of space in pattern of proposed cloth, so is the square root of the counts of yarn in given cloth to the square root of the counts of yarn in proposed cloth.
44 Kx ample. — Desiring to make a four-end twill with the Banie Dumber of threads per inch as a plain cloth woven with 30"s yarn : What counts will be required to make the proposed cloth as firm as the plain cloth .' Taking an equal number of threads for each cloth, we hav
...e 4 ends and 1 intersections in the plain cloth. — 8 unit., of space.
4 ends and •_' intersections in the twill cloth, — G units of space.
From this we have: — I. As 8 : 6 : : jW : JxT II. 8:6:: 6 : 4.5.
III. 4.5 2 = 20.25 the counts required.
(c.) Retaining pattern but changing the threads per inch, to find the counts to give equal firmness in any proposed cloth.
Kile. — Multiply the square root of the counts of yarn in given cloth by threads per inch in required cloth, and divide by threads per inch in given cloth.


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