MAXmORVM ET MINIMORFM. 



i-ii 



Ciim antem fit c^-f^dx, erit 3- a^i^^ ^3~ t/-"j/> 

 ponamus tantisper (Jc|)— w, ei ^Sj-h^^^p-i-Ci^^ 

 4-£)^(5^retc.i:u , vt obtinentur haec aequatio ^-£;<+w> 

 cuius integrale fumto e pro numero , cuius logarith- 

 mus — I , efl; 



^_/?dx ^^__y^- L d^oo^.v , ideoque 



vnde deducitur 

 JLdx$(pzJe^^''Ldxfe-^^'^dx[dtSj-^^$p+OJq 



Ponatur iam f e^^ ^^Ld xrr^V , quod integrale ita ca- 

 piatur, vt euanefcat, pofito A:r«, fitque ^""-'^'^^VrU, erit 

 jLdxB^--{\}dx{^^Sy-\-^$p-\-0^q-\-'^^r-\-tic.) 



cui parti fi reliquae partes addantur , redudionesquc 

 fuperiores fiant , prodibit variatio difFerentialis qnaefita 

 BfZdxz:z 



jdx$j((N-Vr.h'-^^'i-'-^.^-^'-'-^^'+ctc.) 



-i-^j((P-Ug»-^-i^^^^-|-^-ii-^)-etc.} 



-t-S^l^i-UOJ-^-^i^^+etc.) 



-t--|^((R-U3t)-etc.) 

 cx qua, vt fupra, ea relatio inter x et y elicitur , qua 

 formulae integrali fZdx pro termino xzz.a valor 

 maxirous vel minimus conciliatur ; haec enim relatio 

 exprimetur ifta aequatione: 



( N - U g^ ) - ^-i^?-V ^A[^-^L^-^)4 etc.) =0. 

 Tum vero pro conftantium per integrationem inueda- 

 xam determinatione fingulae partes abfolutae tam pro 



R a. cafu 



