1905-6.] Mr T. Oliver on Take-up in Twisted Threads. 203 
by the consideration of the similar triangles ABC, EDO, shown 
in fig. 13. 
C ED AB Y , „ 
— = = — = = tan 0 or m, numerically. 
I DC BC X - 1 J 
Since C is measured downwards from line DX, the sign must he 
changed. 
. *. C or log c = - ml. 
From which e may he found by consulting tables of anti- 
logarithms. Table III. shows the v allies of C, c, and m for all the 
equations. 
Table III. 
Direct Twist. 
Inverse Twist. 
C or 
log c. 
1 
c 
m 
C or 
log c. 
1 
c 
m 
2/10s Cotton 
-1*05 
11*2 
2-09 
-1-065 
11-6 
1-93 
2/48s Botany Worsted 
-1*63 
43- 
1'96 
-1*79 
62- 
1-98 
2/56s Cut Woollen 
-1-62 
42* 
2*15 
-1*61 
41* 
2-03 
i 2/1 2s Crossbred Worsted . 
-1*08 
12* 
2*06 
-1*28 
19- 
2-08 
2/16s 
-1*065 
11*6 
1*92 
-1-325 
21* 
2-05 
2/24s 
-1*21 
16-2 
1*91 
-1*71 
51- 
2-15 
3/24s „ „ . 
-1*23 
17- 
1-96 
-1-29 
19-5 
1*96 
Average m . 
2-01 
2 02 
Table IV. 
Average 
Diameter 
of Singles. 
Turns 
fel per Inch 
in Singles. 
k or 
irhP 
2L ' L ' 
p. cent. 
* 5 ! 
20 
p. cent. 
Max. 
Elong. 
from 
Expts. 
a 
p. cent. 
X 
5 
* 
© S *5? o 
& 3.2 « 
b 
2/10s Cotton 
•016" 
7-5 
*126 
•35 
•94 
1*5 
3* 
2/48s Botany 
•0065" 
15* 
•021 
•24 
•32 
3- 
4* 
2/56 Cut . 
•009" 
17* 
•041 
•58 
•40 
3-4 
3-5 
2/1 2s Crossbred 
•0145" 
5-5 
T03 
T6 
T8 
1*1 
1-6 
2/16s 
•0125" 
7 • 
•078 
T9 
•24 
1*4 
2' 
2/248 „ 
*0101" 
9* 
•049 
T9 
T8 
1-8 
2-2 
3/24s 
•0101" 
9* 
•049 
T5* 
T4 
1-4+ 
1’4I 
'&*) 
Negative direction. 
