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PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
by making use of a few definitions. We know from (II.11) 
that each production of capital goods (X,) is composed of two 
. I 
parts: replacement of worn-out capacity ( T %inXn) and new 
investment (a;,X,). Denoting these two parts respectively 
by X,, and X,,, so that 
(111.3) 
Xe =X", (6) + Xx, (2) , 
we have 
(111.4) x, 0= 2K, @], i=1, 2, .... (n-1). 
By substituting now (III.4) into (III.2), we obtain 
voy 
(IIL. 5) Xp) =o [XO], i=1,2, ... (n-1). 
which amounts to expressing the capacity equilibrium condi- 
tions in the form of equilibrium relations between the produc- 
tion of capital goods in each period of time and the rate of 
change in that period of the corresponding consumption goods. 
Using the (II.11) and (III.1), the (III.5) become 
d : 
ay; X,(0)e8 = — [ain X,(0)e#] , i=1,2,....(n-1), 
D] 
Ann X,(0)e8' = g a,,X,(0)e8 
and finally 
(111.6) 
Ain = E Gin » 
ey 2) vee (m=T1). 
“10] Pasinetti - pag. 38