cvjhi. r B 



-»81 itaqae in Fig. 2 fijmatur ar- 



7/ R r 



cm P Q_ adareiim PA iit r ad i, & dcmit- 

 tatLir nonnaiis Q q, area curvas cujus abfcif^a eft 

 (f b z 



'zSc ordinata — ^ — ; 9 notationeC^tefianaexprefla 



erit — J Q q (SA: AO) + ^q (SAO). 



Q 



ProbL 4. 



Uadrare curvam^ cujus ahfcijjd eji 7. <^ ordinata 

 ; 1 qua7ido denominator i — ^z" -f-z^^" 



1 — <^Z" -^-T?'" 



rcjUvi non ptejl in duos Jacfores hiuomios, 



.^Avvzs arejE , qux fint, geometrice rationa- 

 les, inveniuntur dividendo ordinatas nume- 

 ratorem z"+'' — i per denominatorem 

 I — ^z"-[-z-", donec exponentes ipfius z in re- 

 fiduo divinonis e\ adant quam rninimi & po- 

 fitivi , & fumendo areas refpondintcs terminis 

 prodeuntibu?!. Hx partes fubduSto ' calculo inveni- 



untur --\-qx — I X • 



r — n r — 2W ^ r — 3// 



qj 4?! -J^ 5« 



-I-- a^—2q X j-q* — 3q-\-l X &c. 



^ r — 4;/ r — 5// 



& tot erunt numero, quot unitates continet fraSlio 



— Et quoniam coefficientes i, ^ , — i, 



w 



^ ^ — 2^, — 3<?^ -f-i, &:c. itafuntcomparati, ut 



