102 Opuscdla 



§. II. 



Rcgiila sirnp/icissima ad detegendos valores quammaxime 

 vero proximos basis logarithinoruni hjperbolicorum. 



Qiioniam I'ormiila geoeralis siiperins exposila valores qnan- 

 litaiis e eo mac;is vero proximos suppeditat, quo major est 

 numcrusn, evidcus est ipsuin assumi posse ita magnum , ut 

 solus primus terminus scriei diflerat a vero valore basis e mi- 

 nus quavis minima quantiial«, sea, ut ajunt, quavis quanlitale 

 assignabili. Hinc prime termino seriei tantum computalo, eril 



(„_1 )(„_2)(n--3) 3.2J 



"^ ~ ±lip(n — 1 )±(/i — 1 K^ 2 ) qiltc.H-(n — iy(«— 2)...3.2.-l 



Posilo successive b = 3 = 4 = 5 = 6 etc. 

 1.2 



n = 6 , e = :rr4.5 -20+60 -1204-1 20 - IT" 2>7272727 



„_7 e ^:^:^-^:^^ J_l°=2,7169812 



— ' 1—64-30—1204-360—7204-720 265 



1.2.3.4.5.6.7 5040 



n = 8, e=_i_^7_42_^2io— 84"O-f^2air50404-504O~lli5T 

 = 2,7184466 



1.2.3.4.5.6.7.8 



« = 9, «=-j_84.5(3_33(34_i680— 6720-1-20160— 40320-^40320 

 40320 

 = 74-853 = ^'^^^^^2^ 



362880 

 " = ^°'^=T3^6 = ^''^«2837 



3628800 

 /. = 11, (>= —T-r-. = 2,7182807 

 l33-iyL)1 



