99 
1906-7.] Normal Take-up in Twisted Threads — Part II. 
the experimental results. They have also the advantage of ready 
reference ; the yarn number is always available, while the diameter 
could only be obtained after a tedious micrometer measurement. 
Formula (4) shows that 
n = '3C + 2 approximately. 
Substituting this value for n in formulae (7) and (8), 
ni _x(hx+ 2 n) 
V 4C 
__x(5x + 4 + *6C) 
4C 
= |(5* + 4)t + -15» 
= ?(5* + 4)A + ’IS* where A = t 
= aA + p when x is constant. 
Similarly for crossband twist, 
x(bx - 3 n) 
40 
= — 6)A - '\5x 
= a A - p when x is constant. 
