CVIVSDAM DIFFERENTIALI5. 15 



inle nb xv-pp , et x-\-y-ipU] y~x--zpV{u:i-i) 



. p (B -+. Pftpju -f- C p . , 



er.t ,x=i:_jB-Dt)p]v;uul,) ideoque 



dp " Dpp _ B -~- ^^*-' 



\nde fit 



udp[B-^T}ppypdu{Dpp-B]-\-Cpdp=dpV(. . .). 



Prius mcmbrum cft (B-D/)/;)'' r/ ^^rBnJ^+p^) ^^^ 



ii — i>//) 



(B-DJ)p£ I +B_Dfu-»-r^B-4-p2£) 

 ■ Tbd ^* b-Upp 



9t qnantitiis figno radicali inuolnta ita fcribi potcfl: 



TYd ( ' <^ BB BDpp uii -j- 8 ^CDpu[B-{'Dpp'^ 4- 4BCCD//> 



-|-4-BD;B-D/?/);) 



- 7bd ((4BD/.//-}-C(B4-D//)))V:4BD-CC) B D//>;'-) 

 Vhde mcmbrum irrationale erit 



B-Dpp.^ p-p. p^ , 4BDp»->- CfB-t-Dfj>h?^ 



jVbd •' v4-.l)U — t^Vw-i-'^ B— Dpp y^ 



Qiurc pofito brcuitatis gratia — ^b — r^^^^ ~ •*" ^^^*^ 

 -7B'D--'/^^'-;v?^n4BD-CC-i-xx) vnde fic 



ds ^ 'PVBD „^ • ^ , 



vTTBD-cc^nj^^BTirpp- et mtcgrando 

 j_|-V(4.BD-CC-+-JJ-):=a. ^:^/^ ideoque 



r, T-» i-/-« ,VB-+-pVD,2 VB-HfVD 



4I3U — LV «^'ViT^VD/ — Sai". y B -f VD* 



2 2. Fundamcntum ergo harum redudionum 



in hoc confiftit, vt primo ponatur x"pg et y:^^ , 

 tum \ero pro q ciusmodi formula accipiatur, qua 

 partcs x +/ , X x -+-jj , etc. quae in formula ^ in- 



lunt, 



