qnae cnm fit ipfa formula propofica, erit cx praecedenti- 

 biis cxcmplis //.y = ; ^ P - ; rt' Q, conrcqvicmer.;' 3 ; P-;Q, 

 hinc integrale quaefitum ita repcrictiir exprcflum: 



/- xx dx^ _j_ f V( 1-4-« ' )-l- x_v^ _ -!_. A fin. *— , 



Scholion. 



§. 42. Hacc dtio portrcma excmpla fi nnllo plane 

 rnoc^o ope cuiuspiam fubllirutionis ad rationalirafcm per- 

 duci pofTcnt, infjgnc pracbcrcnc documcntum , quod con- 

 clufio fnpra mcmorata quandoquc faliere poHit: Hc autem 

 attentius pcrpenfi inucni , omnia hacc quatuor cxcmpla 

 ope vnica fubditurione immcdiatc ad rationalitatcm per- 

 duci ideoque intcgrari poflTc ; id quod oflcndillc vtiquc 

 opcrac crit pretium. 



Alia rcfolutio 

 qnarnor poflicmorum cxcmplornm. 



§. 43. Statuatur pro primo exemplo 



V - ^r^^ , "irque V (1 -+- i"y ) = i^T^^-^; 

 tum vcro V ( i - vv) =z ^'-—ry vndc fit 



V ■^rtli'. — !J±^» ct V ( i - vY zz !- ** . 



At diffcrcntiando adipifcimur 



, i^x ( • — a M >/, ^ 



" '^ — (. -»-*♦) y (. -t-jcM * 



Cum nnnc fit ;^* =1 V (i - v*) , crit 



A d«vw (.--j') f.„e __±^_— —i*!'^ — ; 



quac acqu-ilitas maxime cft notatu digna. Quod fi iam 



hacc 



