= (<5p) =: 

 cx qtio valorc colligitiir 



His igitiir valoribus inucntis fcriei infinitae 



I. 2. 3. 4 -■<■ 



— r. 2. 3. 4. (.V-+-0 



-H I. 2. 3. 4 (•V-+- 2) 



— I, 2. 3. 4 (jc-+-3 ) 



etc. 

 fumma crit 



I. 2. 3 xCp-^-q-^r-^-s-i-etc). 



§. 39. Sumamus hic pro cafu fpeciali(rimo .v :=: c, vt 

 fummanda proponatur hacc fcrics hypergcomctrica i — 1-4-2 

 — 6-4-24 — 120-f-etc. , pro qua ergo crit i . . . . -V — i, 

 tum vcro rcpcrietur 



Calculo crgo hucusquc produclo fumma dcfidcrata prodit 



— 5 — h s — 32 — T7g ^^ i2s ^^ °i 5 8 5 9 9 



quac non multum difcrcpat ab ca quam olim omni ftudio cHcui. 



§. 40. Sumamus nunc .v nr i , vt fummanda fit hacc 

 fcrics i — 2-f-6 — 24-4-120 — etc. , critquc i . . . . .v~i, 

 tnm vero p— ], q~^\^ r = o, szzz—rli- Hinc ergo crit 

 noftra fumma ^H-5> —^\ = ^|z=:o, 40192 , quac fumma cum 

 pracccdcntc fatis cxa/lc confpirat, quoniam hinc ambae fcries 

 iunc^ae prodcunt 0,9^78: prodirc enim debcrct vnitas; vnde 

 patc»-, Ci vlerins fcriem /), 9, r, .f cTcmus profccuti, tum ctiam 

 ad vcritatcm multo propius acccllKfcmus. 



I 3 rRO- 



