i5* ATTI 



Problema VI. 



Tnvcnire curvam , in qua flt maxima vel minima quantitas 



dd) ' 



Cum maximum haberi pateat in linea ì-e<^a, in qua efl: 



d^yzz.Oì ut minimum habetur > quanrite ~^j- — ad formu- 



d}ix'^ 



lam quarti problematis relata, ent —^^f terminus per y da- 



ftas, & -^^ qui per dy multiplicabitur, ^ ydydx"^ qui divl- 

 detur per ddy -. adeoque in CoroIl.ni.Prcbl.lU. pofito w=: — i 

 fiet mdd (Zi^v--' ) — - dd f{J>) • Er'i: ergo problematis 



acquatio dx^ (S,"^ ( k ) ""^^K :^ ) ) ~ °- 



Pariter fi juxta formulas alias Probi. V. fieret Z=: -^ , 



dfdx^.dj jtx'^-ddy fdydx'^.id^s 



Se difFerentiis acceptis, efiet dZ — —^j^ 1 — -^^-^ ^7T~ ' 



fpeaando-^,— , '-^, -^,/j,,- velari coefficientcs diiferen- 



tiarum, qua; prodeunt ordine quantirat-bus 7, dy ^ ddy habi- 

 tis prò variabilibus, polirò M— -o, M _ ^v- , j^ _ -j-~ , 



_i^=r — ^^^-^,eademadhucaequatiohaberetur N — ;^-i- -~^ 



fydddy f ydy\ 



Ea vero aquario net dx^ (jx^ — ^^\7d~^]^^°'' ^ ^'-'•n- 



^v • f Y'^y ^ 



de per^^ ducla» ac refoluto termino — Jj^^ f-^jjjdeducetur 



ad xquationem aliam d vjij- — d {. dydx . d ( jtiì ) j = o > at- 



V.E Vii X* f V<^V ^ 



que ad aliam rurfus -j-^ dydx . ^ i'~jri) ^=:C, quam exhi- 



buit Eulerus in exemplo quarto Propof. IV. Cap. II, 



Co- 



