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PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28

(240-7)  Ro/Re » 1+0,(i-p)

(240-8) R/R.  1+0,7¢

(240-9) C/R, ~ 6, [1-3 0, (7-p)]

(240-10) y _C/R, «©, [1-8, (i-p)-30,(i-p)]

(240-11) Y=C/R @, [1-0, 1-30, (i-p)]

R £O. |.
(240-120) TE ~T-— = (i-p)- 30] (i-p)’

R RO: 2 2 2
240- == I+ °_(1- (à
(240-13) —=1 ke®,. —-(i p}-Rè@, {(:-p)

= = 2
(240-14) Rew Re ~ R(1+293) 9, (i-p)*
Rom 2

(!) This is again the general formula (127-10)
Rew — R t-—p)2 dO
LC —2 ( or ee (Z — p = 0)
Roy 2 d(i—p)
since from relation (240-5) we have
ae
dis (ê—9=0 = +23) 0;

This identity of the results is obviously necessary, but it is nonetheless
remarkable in that it demonstrates the underlying consistency of two very
different chains of reasoning; the first starting from (117-19) and the second
 from (211-1).

11] Allais - pag. 102