186 
ANALYSIS. NACHLASS. 
[3.] 
[S. 10] 
Medium arithmetico-geometricum inter 1 et x per huius modi formulam 
exhiberi potest, apprime utilem quoties x est numerus satis magnus 
[7] 
Hic factor constans 
Mx — 
C(x — ax~' — ßx~ s —YX~ z — etc.) 
log. [Ax—ax~ l — bx~ a — cx~ ü — etc,)’ 
C = 4-‘ rc = 1 » 57 079632 . . .; 
« = 4-; P 
5 11 . x 
’ T 2f»fi ’ ® 
64 
i ; ^ 32 ’ c 
256 
19 
128 
d = 
469 
"36384 
4769 
49152 ’ 
1379 
2 1C 
[8] Denominator = log. 4 a?— ^jrX~ 
13 4 23 _(i 2701 — s 
128 00 384 X 2 ,B 
[9] Obs[ervatio] : Numerator, omisso factore C, pro a? = 2, fit 
= M3 = 1,863617. 
Posito denominatore = log. z erit 
+ -|-s _15 —22z -17 —3~a~" > 4-64« -21 
1 
4 16 56 160’ 
« £ 8 z* z 7 
Posito numeratore = Cy erit 
t 11 ] x —y J T~^y + 1}±y 256 y ~~ 16384 y 
Denominator fit pro x = 1 -\-t