->3=5€ ) S7 ( 2-?i- 



Ex his igitur binis feriebas combinatis orietur ferks ia 

 theoremate commeiiiorata : 



I - 1- - ^ - "■''■' - !IiI!lI1-Z- _ il,2l^7lil etc 



i- a-.4» 2'.t'.6J »'.4--. 6^8' 2^. +». r,J.83. ,a= ^'■^' 



quae ergo ferics in infinitum excurrir; et quoniam « non 

 eft numerus integer , produdo theorematis vti non licet; 

 quam ob rem ad formulas integrales in thcoremate exhi- 

 bitas erit recurrendum , quarum priraa pro fumma huius 



2 



feriei praebet t — j-^ ; 



— 40 

 fecunda forma dat 



f 1 



X 



tertia autem forma dat 



Vbi quidem haec integralia a termino xzzo vsque ad 

 terminum x - i funt ex:endenda, quac quia evndem valorem 

 prodiicere deben: , fecundam formulam hic praetermitti 

 conueniet. 



2 



f 15. Euoluamus igitur formulam primam 



f dx t 



J V(X — X3C) 



pro qua ftatuamus jr rr jj', vt prodeat 7. — j^ — . Notum 



^ V ( I —yy) 



autem eft effe pro terminis aflignatis f .—^ — — 7, quam 

 ob rem valor noftrae feriei erit ~. Tertia autem formula; 



I 



T^^-ie erat jT7T^)> pofito xzizjy fiet 



