i6S ATTI 



cvanefcentem ipfius « valorem, degeneranf in — i , — 2 , — 3 , 

 '^ &c. Igitur infinitinomium abit in a -^ ~ —il-»- 



— §cc. j. Hinc confcqucns eft,inflantaneumfoenus_— i 



— a nanlcilci formam — ( b ^ 1 — 1- — f- &r. \ 



« V z« 3-»* 4.J 5-»* »<»5 7. 



live ?tiam -- a[ -\ h— - — &c. ) 



" V« 3«^ 3^3 4«4 5^5 ^ ^ 



h li% 



ex logarithmorum dodrina explo,ratum,quantitatem _^ 



~~^~"~4"*' &c. efle logarithum hyperbolicum numeri 1 -« — • 



Igitur accepto hic fy nibolo log. ad logarith'um non Briggianu«i» 

 fed hyperbolicum delìgnandum reperitur ufura primo inftanti re- 



fpondens = ~" '? log. ( i •+- — j, vel = flt//log. ( ^ "^"7) ' ^ 



Joco — fubftituatur temporis t difFerentialc. 



IX. Si quis integrata expreffione differentìali à a t log. 



( , -t-A>, inyentoque integrali <»/ log Y i -*- y j, contenderet 



in tegrale iftud jequari ufurx , quae refpondet tempori indetermi- 

 nato" V, in rHllaciam impingeret quo ma?is fubtilcm & latcn- 

 ' tem, eo follcrtius cavendam. Et fané integrale quantitatis ait 



log ( , ^ --inibii aliud poteH: cxprinaere nifi fummam om- 

 nium <t^/ log.( I -+-7)"i hypothefi, quod fingulis momentis 

 foenus inftant^neum fit femperidcm, nempe^^Hog.^^ ^"*' T), 



vel huic squale Llt--^ -^i in qua certe hypothefi ufura 



A' 



tcinpore .indeterminato r parta cvadit at log. ( 1 + y) & pofito 



/ = 



