PROPRIETJTE GAVDENTIVAI, iSs 



cmplo formuhmim polkrioriuii dilTcrtationis meac 

 decl.irdbo. Sit expreliio, qiwe maximiim mini- 

 miimuc cnc dcbet , /Q^</x/R ^.v , atquc «'Q^rzLi/jr-H 

 M dy -\- ^ fi X -\-V d p c t dR — Eds -^-^ dy -^Q dx 

 ~\-ldp polito dyznpdx. Qiiod ergo ante erat Q_ 



nunc nobis efl: (^JRdx, ct qnod erat Q^ nunc erit Q_ 



I 

 J Kdx-\-Q_Rdx. Prioris auteni fotnuilae diffcrentiale 



eft (Lds-^-Mdj-hNdx-^-VdpjjRdx-hQ^R dx; 

 \nde pofitis «'.(•— o , r/jno , «'.v—o ct dp — i reliiltat 



valor yjRdx. Porterioris autem formulae difFcrentialc 

 I I I I I II ^ 



eft (L ds -j- M dj -\- N dx -\-ydp)(jR. dx 4- R ^x)-h 

 I I 



Q^R dx-\-(l_ dx ( E ^/ j -i- F dj -j- G dx -\-ldp), quod 



iuxta praccepta pofito dszrzo ^ dj~o., dx~o., dp—i., 



I I I "^ 



/s? j — ^^ , </>' ~ </.v et dp — —i^ dabit hunc valorem 



( \Ajiiy _|_ M ^:t- - V ) (//? d^.v -1- R ^.v ) -I- Q^ I </ x. His 



coniimdis et negledis negligendis fit P — ( ^T^-f- M</.v) 



/R (/.v - d V/R ^.v - R V rt^.v -f- qi dx — -d. V/R ^.v -H 



«^•^'(^^-^1)/R«''^'+Q.^'^^~c>- Q.">^e eft aequa- 

 tio pro curua quaefita. , 



f 9. Si aliae etiam exprefnones in his non con- 

 tcntae fuerint propofitae, quae maximum minimumue 

 effe debeant, fempcr per regulam datam, qua poni dc- 



I , r 



bet ds — o^ dj — o.^ dx — o, dpzrzi , </j— i£i2, dy 



I 

 zzdXyQt dpzz—j, valor ipfuis P, ec indc Cmul ae- 



X 3 quatio 



