±2$ DE INTEGRATIONE 



quorum ^-ri— ij^, fit 'ipfius integrale fecundum 



praefcntem § fequens : 



^v — a , R i_ ((g-f)"-t - 'g-p)>-./)-t-(? -ff)s 



•'-^ -" (e — ; ;(e - £)^ "t- t/^fX/-g)' ^ (S ~ ^)' (S —jV 



(e-+-7-ig)V , V 



iK — e/ (g - / )' ^ ■«' (^ - f > (g -'/3 ■ • 



Si denique proponatur aequatio differentinlis fexti 

 gradus , in qua tres fadlores aequationis (IV) fiunt 

 liequales et per m — izzo exprirnantur , reliqui au- 

 ^tem fint m — ezizo , m—f^o et m—gzno , 'tum 

 pro integranda hac aequatione reperietur ayzzh^Q^ 

 H-B^R-f-C/S-H-D-^T + E^V^-F^V^ Ybi fignifica- 

 tus litterarum Q, R, S, T, V et V^ ex §§. 4. 6. et 

 praefenti fiitis perfpicitur , coefficientes autem A^, B'' 

 Q'' , D etc. ita determinantur , vt fit 



^'Vf-eXf-g^{f-if-i 

 C'ig-e)(g--f)ig-ir=zi 



m-e)\i-f)\i-gyzzii-eni--ffM^-i^]\i^^ 



Mi-e){i-f)\i-g)^i-eXi-f){i-gf+[i-f)\i-g)' 

 ^'aW{i-e)\i-jfSi-gT-{i-e){i-f) -h {i-m-^^+H-fj-g) 

 a^y{i^e){i^f){i--g)-i. 



^. Haec itaque exempla ofiendunt , qua ra- 

 ■f ione , integrationem cuiuscunque aequationis diffe- 

 >entialis formae propofitae , in qua Yalorum ipfius 

 m quidam funt aequales , reliqui vero inaequales , 

 perficere liceat. Eteniln to totum redit negotium^ 

 a""' Yt coefiicientes A^, B^, C^ etc. determinentur , 



quorum 



