ciilus ergo diffcrentialc noii folum denuo fumi deberct , fed 

 etiam differentio - diffcrentiale ipfius p, vt inde deriuetur valor 

 ipfius r. Intcrim tamcn hi valores in genere commodius ex.- 

 primuntur fequcnti modo : 



^ ( x-+-a )dx '^ ' 



{ X-hi ) d X ^ ■' 



etc. 



§. 5 8. In gencre autem Iias formulas euoluere non efl: 

 opus, quia quouis cafu propofito euolutio haud difEculter in- 

 ftitui poterit, qucd vn co cafu otlendiffe fufficiet. Sumatur igi- 

 tur X — I eruntque etiam omnes valores inde deriuati X^, 

 X''^, etc. vnitati aequales. Ac primo hoc cafu habebitur 

 P zn — i — , cuius ergo differentialia erunt 



d p T d S p g 3' p 6 



d~X ( X -^ 1 )* ' 7x» ( X -H 2 ) ' ' d X^ ( X -+- 



,*^ etc. 



hinc igitur primo colligimus q zzz -+- J^T|7' ^ ? qui valor refol- 

 vatur in has partes : a — — l — — — '—-. , vnde fiet 



^9 — ' _L_ 3 gj. 



t)x (3C-t-a)J (x-l-a)* 



^.^ zz: * — '^ etc. 



d X'' ( X -+- 2 )♦ ( X -(-2 )* ' 



Ex his igitur porro fit 



r — — ^^ (~ i + — ? — V 



Cum nunc fit — C-^) — — -^ -\- — ^ , fiet 



^X-t-l' X-H2' 



y _J_ 1 4 _l_ 3 



cx 



(XH-l)' (X-+-8* (X-t-2)? 



vndc fit 



dr 3 I r< 1? 



«IJC (X-f-2-* («-+-2)5 (X-t-2; 



T 



