FLVIDORVM LINEARI. 297 



^ — ^ — 5L^^i_i±l) ac denotante g numernm , cuius 

 logarithmus hyperbolicus efl: vnitas , erit proxime 



Ci — r — ) ire"~^. Habebimus ereo : 



^^_i2^piM)(i--.£--J') + iA£(a^---^£~3') feu 

 vv=^gb{ I - e~"-^]+4^(.v-^ e-^)-4g(^+x)-4 g(b-[-e)e-^ 



vnde patet ia ipfo initio , Ybi a: == ^ et j/ = o , ob 

 s'~^ ~ 1 reuera fieri v~o, ftatim autem , atque 

 aqua fubfederit per interuallum minimum y^SldrJl ^ 

 quoniam y valorem notabilem fortitur , quantitatem 

 e~~y euanefcere , ideoque iieri vv — ^g(b-^x), 

 Deinde vero ex aequatione pro tempore ^r-":^^^, 

 quoniam in valore ipfius 1; v loco x fcribere licet 

 e, vt fit vv—^g{b + e){i—e~^) erit 



_ -dxVX ^ dy{Bc c + e) 



^^ -~ 'iWgCb +7y("I-8-^) ^ 2yAg(^ + ^)(i-e--^) ' 



vnde colligitur integrando 



'— 2 V Xg(^4-<?) ^ 1- >^ (i -s"-^)* 

 Simul igitur atque e~^ fit fradio quam minima , ob 



I+V(l-£-^) ;,.,;, ^ ; 



^ TTy ("^-^^ == ^(4 «^-i)=: /4 6^=3^^4-/4 erit 



^cc -\-e ^ ^cc-ye / "K{e-x ) N 



^-ii.VKg{b + ey'^^'^^^:Ly-Kg{b-]re}<^cc-+e'^^''J' 



Tom.XV.Nou.Comm. Pp Cuni 



