= (9,7) .==? 



§. 2, Qiio nunc hanc conditioncm facilius ndinnplca- 

 mns, quatuor illas coordinaras lcqucnti n.odo pcr purtes cx- 

 priinnmus : 



X=p-hq; y=p — q; ^, 





fjc cnim pro priori curua repcrietur O ^i * ir X 



pro altcra vcro curua crit ^^^ 



quac formulae cum inter fc dcbe.int effe aequalcs, fatisfieri 

 oportcbit huic acquationi: d p d q — d r d s. Sicquc tota quae- 

 ftio perdu(fta eft ad quaternas fundiones algebraicas ipfius ;:: 

 pro litteris p , y, r, j, inucnicndas, vt fiat dpdqzridrdsy 

 cui conditioni haud difficultcr infiniris modis fatisfieri poffet, 

 fi in fulutionibus particularibus acquicfcere yellemus. 



§.3. Veluti fi ponamus prAx:", q-Bz^^ r-Cc'*', 

 / — Ds^, cffici dcbct vt fiat 



A B a p s^-^P-' r") ;i-- 1= C D y 5 2^-+-^-* 3 ;i*. 



Hic igitur duabus conditionibus erit fatisficiendum: primo enim 

 ficri debct a -4- (3 := y -h 5 , tum vero A B a (3 = C D y rT. Vc 

 nunc priori conditioni commodifiime fatisfaciamus, ftatuamus 



a z;; X -\- |JL , (3 z=: X — ;jl , y m: X -f- v , 5 ~ X — x j^_ ' 

 fic enim fiet a -f- [3 ~ y -|- ^ ~ 2X. His autcm valoribus 

 fubditutis altera conditio poftulat vt fiat,,^^.^. ^^^^^ ,,:,inpo3 



AB(a^ — ,;.^;-CD(X= — O, ' a., 



fiue ^ — ^^^^4 ; cui conditioni nitidifTime ct gencralinime 

 "fatisficiemus, poncndo: -"«1 tuii^i rqo3 .^ .^ 



Ncua Acla A,ad, Imp. Sc. T. IV. "''"=* '^"^'^'^^' A z^^f 



