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PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
(251-13) Teo=Y(i=p)= ©, CC 
(251-14) |Y,=Y(i=p)=0 /(1+p 0 
Pa 
Re _ CA € 
(251-15) [2 
G, 
©, 
| i, _— {[x+(i-p)0,]e >" 
Ra 
5 : 1% 1; 
(251-16) — = i e © 
R, L® i 
(re i)e %‘1f 
R ° | 
M 
= R, | ko 5 R, ]" 
(251-17) R_, =a(t)] == |e R,= a(t) Ze 
e® eO, 
In these formulae, Ra, Re, R, Rg, R, i and p are functions 
of time. The quantities (?- p), Yo, Y, ©, 0, Re/Row, R/Ru 
are invariant. 
Those formulae in which (0) and Ô appear involve the 
supplementary hypothesis that à and o are constants (!). In the 
same way the expressions (251-17) given for Rey and Ry are 
valid only on this hypothesis (2). 
It can thus be seen that in the exponential hypothesis, the 
significant expressions depend on only two coefficients: the 
coefficient of homogeneity k, and the time constant ©,. 
Of all these relations, perhaps the most striking is that 
which specifies that the ratio C/R, is a constant and equal to 
() $ 230 to 232. _ 
() Relations (233-2), (233-3), (228-4) and (250-5) for Rom: relations 
(229-5), (251-1) and first relation (251-17) for Ray . 
‘11] Allais - pag. 108