1357 
Thus for a strong shock and a weak rarefaction-wave a shock 
will be transmitted, while the reverse is true for a weak 
shock and a strong rarefaction-wave. It remains to be shown 
that W, will lie above —| for values of Dp below Pa The transi- 
tion-curve a consists of two branches. It is composed of 3.2 
from r to m and of &. for values of p less than Phe It follows 
from (8e) that S, must lie above $3, from r to m, hence this 
portion is also above Bae Also, if we draw a vertical line 
through r we pass through some point t on Bn? Relation (8e') 
implies that R, coincides witn R.. But p, <P, and 
al 
BF op, 
t ae ale » hence it follows from relations (8d') that 
Re ir 
Yow) ¥(P) for p € P»e Consequently B, lies above Ry =F. 
