quae integrata ab x — o ad x z= i dat 



i_ xP— dx 



quam ob rcm habebimus 



, I jr^-Vjc, ^ 



fx^-'dxlx.V I -xx=:-fx^-'dxyi-xx{—'\-f-YT:—)' 



Hinc igitur fequentia exempla uotafTe iuuabit, 



Exemplnm L quo p—i. 

 §. ^6. Pro hoc igitur cafu portremus fadlor euadet, 

 j-4- / 2 , ita vt fit 



f d x l x. V 1 — X x :=z — (l -\- l z )fdx V i — x x. 

 Pro formula ?iUtQ.m fdxV -l—xx ftatuatur Vl—xx=li — vx 

 fietque x— -^^ et V i — jrjc"— '— ^'^ atque dxzz''^^^^!^^ 



Tnde fiet dxV t —x x — ^^t^^^j, cuius integrale refolui- 

 tm- in has partes: ^-_^- _ _^ -^- A tang. 'y •, quae ex- 

 prefTio, cum extendi debcat ab jr — o vsque ad jr — i » 

 prior termimis erit vz:o, alter vero terminus eft -y — i ; 

 ita vt integrale illud a -y — o vsque ad -y — r extendi de- 

 beat. At vero illa expreflio fponte euanefcit pofito v — o, 

 fado autem v—x^ vaior integralis erit — ?, quam ob rein 

 habebimus 



§. 37- Hic quidem calculum pcr lougas ambages 

 en oluim us ,, prouti redudio ad ratioualitatem fbrmulae 

 Vi—x x m aniTduxit ; at vero folus afp&flus formuiac 

 fdxVi—xx Hatlm declarat , eam) exprimere aream qua- 

 drautis circuli , cuius radius — i , qirem nouimus efle -?. 

 Caetenrm adjvberl potuiflTet ifta redudUo: 



fdx V i~xx- Ix V i^x X 4- ; / — ^^ — 



cuius Yal< r ab x— o ad r =: r exteuliis mamfefto' dat ?. 



C 3; Exem- 



