tf tf D E C O M P A R A T 1 N E 



quibus n K-nAriun fuperat cxtcndcre l-cet , euamft 



pro cafibus ;;zzj,«~2,?jir3,«i=4, ct n— 6 



iit in proiiuu. Ktfi autem de rucccllu in reliquis 



cafibus V X dubitarc licct , tamcn r».flric1io ncccflii- 



ria vidctur , >t cxponcns n fit numerus integcr , 



niri fortc ct eos cafus fra^flionum adi'c'.re lubucrit , 



quibus \traquc formula pcr fc fit i.itcgrabifs , \ti 



euenit fv n fit fracftio Tnitatem pro numcratore ha- 



bcns. Prnetcr.a vcro ccrtum crt , vcritatem nonni- 



fi pio fig 10 radicali quaiirato fuufiilerc f 'jiTt ^ ne- 



dy dx 

 qiie fiiiiva hacc acquntio •— 



nc-iiie haec — a.iacquc .u- 



ru.Ti fimllcs int.gral a compl.ra al.rtbraiia avlni!t- 

 t^nt; 'i.iia ha3 formu^ae , ad rat:0:'ajit:uem pcr- 

 dud.ic , ta;n Ioj,aritan.os qu.im quadnituram c rculi 

 mixtiin inuoluunt , atqac cx talium quant'tariim 

 hctero^cnearuin comparationc a quatio a'gcbra'ca rc- 

 luitarj ncqu t. Haec cadcm vero rat:o dubitatio- 

 nem fuperorcm. quoquc dccidit ; nc iarn :uidac'ti.f 

 pronunciarc poCfuniUS hanc acquationcm ditTcrcn- 

 tiakm : 



<} "v dx 



j^cncralitcr p^r aequationcm aigcbraicam intcgniri 

 non poffe ; inde enim fcqucrctur intcgraiio algcbr;)i- 

 ca huius acquationis 



d7 ^ d_x 



quod 



