'IN ANAITSI INVmtrORFM. ^39 



-Tiinlur. Iti folutio qnam ad prim.im reducitur ponen • 

 do M rr tt -{- V et N zr: « — V. Deinde G in fextx 

 ponatur .Q^nz Q_/7'^, ea redigicur ad qnintam. De his 



-autem . folutionibus notandnm eft, en fuigdis relationcm 

 finitam feu fuiitis quantitatibus exprefllim inter tres quan- 

 tit;vtes x,-j ct':z reperiri 'pofic , cam difFerentialia inde 

 eliminari queant , pro fingulis igitur folutionibns hae re* 

 lutiones finitae ita fe . habebunt : 



Solutio I. -dat (;3 + V)' — x^ + tj-f-Ky 

 Solutio II, datzV{i'-\rpp)z=zx-r\-^y +?Vii+pp) 

 Solinio III. dat s;y(i+^/>)=*-hpjH-P:p 

 : Solutio IV. dat (s -f-j + M ) {z -j - N)-:xx 

 Solutio V. &it zii-^-qq^ — ^qx + iq^—ily-^-^Qji^ 

 Solatio VI. dat s(i -{-q.q) — ciqx+(qq—i]y"\-2^(^ 

 SolutioVII. dat (2:+j/+4N)(2;-j)— (:r4-2 M)» 

 SoIatioVIII.dat (pp-^-i^z—^px-^-ipp-i^j-h^? 

 /Solutio IX. dat [ppi-i^z^zzzpx-^-^pp—i^y-h^Vp 



Hinc patct folutiones II et III in vnam coalefcere fi 

 -in fecunda ponatur P =r y^-pj,, vebin tertia P — ^.; ind» 

 *eflim ^prodit haec folutio fimplicior : 



(■i-{-pp)ddK pdK _ 



^'- dp'^ -^ :df^^ 



— p[^+PP^ddK __ dK_ 

 -^ ~~ dp\ " dp 



S ^ Bduao 



