Qf'ADRAWRAS C031PAKANDt ^^ 



i8. Aequatio autem propofita differentiata dats 

 <fx ( (3 -1- V .t -h «J"/) 4- <// (|3 4- Y y -h (J a;; =1 



fiue Q^dx—Fdjzzo ^ 



"vnde' oritur i 



^ = '-i feu f-; -fl - Conft. 



cui ergo aequationi iutegrali fatisfacit relatio propofita y-^ 



indeque valores pro a; etj extradi. 



i'9." Vt liinc fimilimodo alias integrationes obti- 



neamus, fint iterum X et Y fundtiones fimiles ipfarum 



A' et j; ac pofito : 



P Q, — " * 



definianrur liae fundtiones ita j vt V prodeat quantitas 

 algebraica , ficque liabeatur - 



/^^-/^>VrM-Conft;- 



2o; Cum' igitur fit § ^ ^erit dVzz.^^-^, 

 feu dV— p 4.7^^^' Sit iterum xj — u, ideoque 

 dy:=z ^ - ^-~- , erit pro - aequatione difFerentiali 



dx{^-^yx-vBj)-\-~{g>-\-yy-^^x-^-^i^^yy^^x^-o 

 fcu; </x(pa'- <^y-\- yxx-yyyy^du{^-]ryy-]r$x)zz.o. 

 21 ; Valore hinc pro dx fubiUtuto habebitur : 

 » xT : du(x- -^ Y) _ 



Pdnatur ■autem ■sXitnmx-^-yzzti ^ erlt 'x;»f-|-X7=:/^-2«= 

 ct quia aequatio aflumta in hanc formam abibit: 



o:=L<x.-\-^^t-\-ytt^^{^ — y)u 

 cxqua diflerenciando fit ^^((3-+- y/^irirv — (5")</«j,-.» 



M 3 22. Hinc 



