4»-' D E C O M P A R A T I O N E 



7. Hanc ncqmitioncin cnrroircam diffcrcntic- 

 miis , ac prodibit acquatio ditfv-rcntialis per bina- 

 rium diuifa.'. 



^ "" H- 'S(/y-\-yy4}'-h^xdy-^2exjJj-{-exxc/j-\-^xx}'dj 

 quae cum reducatur ad hanc formam 



-\-dj (g-f-d A.--}-£A\v)-hji/j(y -\-zex-\-^xx) 



quoniam cocfficicntes ipR)rum dx et dj funt eac 

 ipfae quantitates , quas modo pro formulis radicali- 

 bus X et y exhibuimus , \[\i aequatio diffcrentiaHs 

 erit 



orz: Yrt^.v-f-X^ feu ^ -\- ^ — o 



in qua cum variabiles x et j fint feparatae , fi qui- 

 dem pro X et Y vah)rcs illos furdos fubftituamus, 

 pcr intcgrationem inde hanc acquationcm fmitam 

 obtinebimus 



/'x +/T-Con(i 



8 Cum igitur hacc acquatio integralis ccr- 

 tam quandam nlationem intcr variabilcs .v ct j ex- 

 prinrat , ca a rclatione in aequntione contenta di- 

 vtrla eife non poteft , ficque ipfa aequatio canonica 

 continebit iftam aequat!oncm integralem. Etfi ergo 

 in acquatione difl^i.rcntiaii j^-f-(^r±o, ncutra pars 

 cfl intcgrabilis , arque adco ncque per circuli qua- 

 draturam neque logarithmos cxpcdiri potcft , tamcn 



intc- 



