12 INTEGRATIO AEQVATIOXIS 



tur , Tiide non contemnenda fiibfidia ad Analyfin 

 periiciendam hauriri qucant. 



17. Opcrationes hic adhibitae aliquantum \a- 

 riari po(rnnt , quod probc perpcndifTc a-Iu non care- 

 bit. Propofitam fcilicet aequiuioncm difFcrcutialcm 

 ita refcro : 



s.dy ' Xxx i-Cxxyy-^Exxy* ^ 1'— Q, 



-r^ r,. P {'idtl^_£yyy'^^^-*~yy)-^-Cxxyy 



Vt llt Q^ {\-Ex"xyy)[yy — xx) CntqUC 



ydx-i -Oid y V( P-t-Q - ) -^- ■</ ' P - Q,] P-J-V PP-Q.CL) 



ydx-xdy VtP-f-Q. )- V.P — a J ^CL 



ydx—xiy . P — Vpp-^QQ^) 



tum etum ^ j-^-q_-^ = ^ — ^. 



Faciamus nuac hauc fubftitutioacm : 



crit xy—pp- XX-\-yy~2.ppq; yy~xx—:ippViqq-i) 



1-:. , i^ dx dp dq dy dp , dn 



de fit 



yj^^ ^_^rv?7'io ,, ^:^^ _ zPi^f 



xay dj> dj_ ct ^^._^ — 2^.^// . 



f» T^ = V (77- i^ vi/ X 



P _ 2?A-4-Ep*) pp7.4- ^ CF* (A-(-Ef )*)<7-H Cpp 



atque q_ — 2(,v-£p*, p^v (<;7- ■ — (a-ep*, vcj.i-o 



„„j_ /;^ V(Pr-aa) V(4AE0«.;q-f-.Cpp?fA-i-K3*'-f.CCp*-t-(A-E f>«]*; . 



nnac nz ^ _ (a — tp+jvii.j — 'J •. 



„ „. , dp dr 



18. Sit pp~r eritque ob -f :=z -r 



_ riq ( A-l-Err).;-KCr-V[4AIi/n ;7-t-;Cnj(A -HErr)-t-CC rr-KA-Err)* 

 O — u r~I~ A— £rr 



fiue 



rdq (A-E rr) -f- /7</;(A-HEnO -f- Cr^^—</rV(4AEn77 

 4-2Cr(?CA-V-Err}-t-CCrr4-(A-ErrO. 



Quaa- 



