C V R V A R V M. 79 



PioL)Icma j.. 



I 



54-. Si m ct n fuorint niimeri iiiteo^ri qiii- 

 cunqiic, inucnire nequationem iiitcgralcin cor.ipktain 

 huius ditrcrcntialis : 



« dy . _^ • m A X 



S o I u t i o. 



Qiiacnitur primum opc pr.icccd. Probl. acqu;i- 

 tio intcgralis complcta irtiu* differcntialis : 



dx nd p 



tf.X-^-.ix-^.Cxx-^.zDx^-^Ex*') V.'A-HiBi>-t-Cpf-f-3D;j^-f.£p*; 



tjuae crit al^ebraica flc praeter variabilc* p et x 

 conrtantem arbitrar^am a inuoluens. Deinde fimili 

 modo quaeratur aequatio integralis completa huius 

 diffcre«tialis i 



. dv ^ ■mdp ^^ 



VU-t-:Bj'-l-C»-+-:Dv»-f-E>«) V i.A-t-:3p-f-Cp^-i-;Dp+-Ep») 



quae ctiam crit algebraica intcr binas variabiles y et 

 p^ infupcrque couftantcm arbitrariam b complecfle- 

 tur, Ex his duabus acquationibus eliminetur va- 

 riabilis />, vt obtineatur aequatio algcbraica intcr x 

 ct y , quae erit integralis completa huius diffe- 

 tsjntialis : 



n dy mdx 



V;A-+-:B>'-hCj7-|-:DjJ-»-E>'; V:.VH-:Bx-HCj:j:-(.75Ii_f.Ex*) 



Quia autcm duas conftantes r.rbitrarias a et b con- 

 tinebit , alterutri pro lubitu valorem determinatum 

 tribucre licet , vel inter eas datam rationem ft^itue-. 



re: 



