D E L L' ACCADEMIA. 151 



COUOLLARIUM I. 



Parct vero quod fi in hoc altero differcntialfs formulae 

 itxcmplc, emina indicatione differeiitiarum , quac prodeunt 

 ordine quantitatibus 7, dy -, day habiris prò yariabilibus» prò- 



^^or^^x^t^.t^^^■modZz^ydx-^M^^'k^ ^àydx-Mdi^ ^,. 



fi delera quantitare ddy -, quse in denominatore fimul, atque 

 in numeratore fccundi termini feriei prioris occurrebat , tet- 

 minus ille evadat primusi terminis fingulis ad formulam quin- 



ti problematis relatis, eflet M=j^x=, N = -^-t— , P =:o,(ì=: 

 ~"~-^— » atque ita eilet formulse ufus erroneas. 



C O R o L L A R 1 U M II. 



Pariter fi maxima vel minima effe deberet quantitai 

 ~-^-j — f in formulis Probi. V. fpeftando Y tanquam variabi- 



lem) prodiret loco Y quantitas — — ìttv * ^ P'"° variabili ac- 



cipiendo diiFerentiam dy loco — di— \ prodiret —dx*. df-^ } : 

 ac rurfus in termino alio pofita w— — 1> fieret quarlìta ac- 

 ,>,a<io rf..{^^^^ rf( ^-;^).,rfrf( -1 ))=o. Eadcmf.r- 



mula erucretur fi pofito Z=:-/ "^^^ & fumptis ordine difFe- 



ydcfy 



rentialibusherctM=--, , , N= —~^ , -zz-^r, ' -TTr = 

 yddy y'ddy dx yddy dx* 



xdydx"^ 



''~yddy^ • 



CoROLLARlUM. III. 



Ar fi adhuc non patra' qiìi fint coefficientes var'abi- 

 lium A-, j/, dy ^ ddy fingillat^m fumprarnm , & xquatio d fib- 

 rentialis, dZ = f:£:l _-^y^^^^ ■ "> ^ xdx^^^dJy^ _ x^yd^Jddy ^ 

 y.uy y\ldy yJuiy yddj 



qvam. 



