101 
1906-7.] Normal Take-up in Twisted Threads — Part II. 
Now in this equation y vanishes simultaneously with A ; i.e., the 
graphical picture of the equation is a straight line passing through the 
origin. 
TABLE V. 
Percentage Contraction. 
Turns per 
inch. 
“ Inverse 
” or “ crossband ” twist. 
X 
2/12’s. 
2/16’s. 
2/24’s. 
1 
-•21 
- T7 
- -12 
2 
-•29 
-•24 
- T6 
3 
-•23 
- T8 
- T2 
4 
-•05 
— ’04 
- -03 
5 
+ •28 
+ •23 
+ T4 
6 
•74 
•59 
•39 
7 
1-35 
1*08 
•72 
8 
2T0 
1-69 
1T1 
9 
2-98 
2-35 
1-57 
10 
4-00 
3T4 
2T0 
11 
5T4 
4*03 
2-70 
12 
6-43 
5-04 
3*35 
-4 
7 
1 
/ 
r 
■- 
Of 
7 
5 
} 0 
■- 
7 
I 
s 
/ 
£ 
/ 
s 
v 
s 
7 
/ 
s 
n 
/ 
1 
G 
7 
A 
/ 
s' 
h 
/ 
s 
/ 
y 
y 
n 
/ 
7 
■i 
/ 
s 
*s 
s' 
7 
s' 
/ 
' 
i 
7 
s' 
su 
9- 
A 
7 
» 
/ 
y- 
y 
, 
7 
y 
7 1 
/ 
/ 
k 
A 
c 
7 
t 
7 
l 
, 
L 
- 
1 
0. 
p 
0 
0 
* 
0 
9 
$ 
Fra. 4. 
It will now be instructive to consider an extreme case in which the 
degrees of twist in the singles have no simple relation to the yarn numbers. 
