ex quo confeqiiiLur 



2 F == p" . e" f -h q*" . e"'^ 



2E\/ — 1 =z p'^.c'f — q^.e'"^ 



dcnotante c nunicriini cuius lognrithmus Iiypcrbolicus — i. 

 Conital autem cfTe 



^u-^rv-i _^. ^^^j. ^'-f- /— I f,n. r) 

 undc pofito n cof. Cp ~u et « jfin. zr l' crit 



c" ^ ir: c" (cof. i; -f- >/ — I fin. i;) 



e" ^ — e" (cof. t' — •/ — I fin. i;) 

 ct fafla fubftitutionc prodibit 



fi F zz: e" (cof r 4- / — 1 fin. i') rcof. X (J) H- / — i fin. X (J)) 



-t- c'' (cof. V — / — I fni. v) (cof X — /— X fin. X (p) 

 2E/— I ^ie^Ccof.i;-^-/ - ifin.t') (cof.X(p-+-/— i fin.X(|)) 



— e" (cof. 1; - / — I fin. v) (cof. X (p — / — i fin. X (J)) 



FaHa autcm evolutione liae cxprcflTioncs ad fcqucntcs for- 

 Jiias ijm];liciores rcducuntur: 



2 F = 2 e'' [cof. i; cof. X (J) — fin. v fin. X (|) ] 



2 E / — I z= 2 c" /— i [ fin. V cof. X (p -+- cof. z; fin. X (J)] 



ita ut fiimmae quacfitae fcricrura propofilarum fint 

 Err e" fin. (a-f-t;) 

 F zz c" cof. (a -J- v) 



cxiftente 1; — n fin. (J) el a — n cof. (p. 



Corollariuin i. 

 5. i^. Ponatur a ~ <i , cl jcfultabunt fcqucntcs 

 lumm.itio'ics : 



a fin. (p 



