320 DE PRE5S10NE FVNIVM 



§. 20. Nunc aequatio pro aequilibrio eruta 

 dcnuo difFvrentietur, ac prodibit 



StatUAtur nunc /n (/^- — x et ob U p (l x ^ p d z 

 aequatio noflra fiet 



quae reducitur ad hanc fdrmam : 



'^ ■ — (pH-Xj^"" (pH-Xj' p-(-X 



vnde conficitur 



d z dp 



(,_j_XX)z — M (>H-pp)( pi-+- X ) 



vbi ergo ambae nolkae \ariabiles z ct p funt a fc 

 inuicem feparatae. 



§. 21. Tntcgretur igitur ifta aequatio , et ex 

 partc finiftra orietur hoe integrale 



Formula autem dcxtra iii partes rcfoluta praebet : 



I d t> , f X — i))H t 



I _f_ XX p -H X ~^ (i-t-xxni-t-pp) 

 cuius intcgrale eft 



quocirca ae<)uatio nolUa integralis eiit 



/{(iXX)^-M)=/(p4-?,)-/y7^+XAtang./>+/C 

 hincque ad numcros tninfeundo 

 ( i+XX);: — M— ^1^A_' ^'^^^tang-p 



V 1 -+- p f 



Tnde 



