372 R. Clausius on the Application of the 
two opposite actions of increasing and diminishing the — 
0 
uncompensated transformation whic uring the expan- 
sion, by applying the integral which occurs in the equation 
dQ 
N=~ eer 
to these quantities of heat. 
The communication of the quantities of heat m,7,—%27s 
and “,7,, occurs at constant temperatures, namely 7',, 7,, To 
and these portions of the integral are therefore: 
MT, Mary oho 
| ; 
and 
?, 2 
For the portions of the integral arising hon the quanties of heat 
Me(T, -T,) and —me(T, — 7), we find, according to the process 
y applied in § 23, the expressions : 
Tr, T. 2 
ern and ty. 
By putting the sum of these quantities in the place of the above 
are, we obtain for the uncompensated transformation, the 
ue: 
(38.) V=- 
Mi fey Mele ZT, . Bots lo Ts. 
TT, + T, Me log T, T. 4-ue eT, 
37. We may now return again to the complete circular pro- 
cess which takes place during the working of the machine, and 
