Opuscula. 215 
Deducatur fecunda a prima , & orietur 
2 . 0?' ^ rj^ — ^ cp' — o . 
Ut 2equatio inventa fiat divifibilis per dt, invenienda 
t 
eft quantitas (p' dcp — dcp , Quoniam efl: 9 = r ( — ) ^ , & 
r= /// (-^^V- item =z t (-^) i Sid(p —dt{l-) r 
-i- fli( — ) ^ ^ erit cpV^ — ///^(-^) »■ , SLcpdcp =:rdt 
"{"f) " ^ ^ ^ (~r) '• ergo (p d (p — fpd(p=z — rdt{-^) • 
Itaque fi valorem hunc fubftituamus, & pro 0 , , ubi non 
fubfunt fignis fummatoriis , eorum valores ponamus , demum 
r 
dividamus per dt (— ) »• , fiet sequatio fine dilferentialibus 
. tfcpdV—rjl^dT-ir . tfop Vdt~rf:p' V dJ — 
t 
• (-p) =0, per quam valor % remanet determinatus . 
Venio ad cafum difficiliorem ^ < 2r, in quo fada 
y/^rr — gg — q, integratio completa aequationis q: ^//^ i~ 
,rd(pdt-h r^ ddcp — o eft hujufmodi — ( — ) "■"^ 
,ACc.^-i-BSc,lL, Accipiamus duos valores cp maxime 
fimplices, qui acquationi fatisfaciant , nimirum C^ — { — ) ^''^ 
. C c.-|-* ^^'^(-^^^'■''Sc.-^, hifque adhibitis efformemus 
ut antea aequationes duas 
f^ d V-\- ^^fr —g^ zdt-hr^^d^-^ r^cp dz=zO 
'llLf^ dV-\- ^f^' Vdt- zdt^r^z^dcp^r^cp d%. — Q . 
A 
