(94 



^ 



€111115 ergo fumina erit — cof. ^ •/ c cof. 5 Cj), ciiius veritatem 

 hiuid facile erit aliunde comprobare; certis autcm cafibus ma- 

 nifefto in oculos incurrit. Vehiti fi fuerit Cp — o, habebitur 



I -f- 1 — £1-' -h -'■' — ~-^ etc. nz /2 j 



' - 2.4 ' 2. 4. 6 2.4. 6. S ' ' 



r 



feries enim manifefto oritur ex euokitione ( i -{- i )' rz: ]/ 2. 

 Faciamus nunc Cpzi:i8o°, vt fit 5 Cp — 90% et feries erit 

 i—i—Ll — '•'•J — '•^•3.5 gfc. — o 



2. 4 2. 4.& 3. 4. 6. g 



quod etiam inde euidens efl, quia haec feries nafcitur cx for- 



I 

 ma (i — i/. Sit etiam Cp ~ po'' et feries inde nata erit 



I-1-':J IJ^^l-^ I.I.3-5. .9 etC. — COf. 2 2°, 30V2, 



2.4 2. .}. 6. 8 2. 4. 6. 8. io. J2 ' "* ' 



Eft vero 



cof. 2a°, 30° zi: -j/ '^-^■;°^-^^°' = / Ifi^ 

 vnde fumma conchiditur :=: Y ij_±_!LU^ ficque habetur haec fum- 

 inatio maxime memoratu digna : 



I-i-i^ '•'•3- 5_L II-3. 5. r.9 ctC. — l/ '~^^^- , 



c. 4 2. 4. 6. g 2. 4. 6. 8. 10. 1= '2 



Sumamus etiam Cp := 6c°, et orietur ifta feries: 



, I I. I r 1.1.3 T _i_ '•'•3-5 r_i_ r- i'?- ■;■ ' i _, t.t.3 S.7-9 j gf- 

 - * 2. 4 ~ 2.4.6 2.4.4.8 2. 4. c.«.IO 2.4.6.8.10.12 



4 



cuius feriei er^o fumma erit cof. i5°/3' Cum igitur fit 



cof. 15° = / '-+-y-°° = V '-^ > 

 feriei fumma erit 5 / (3 + - / 3) • 



Euoliitio cafus 

 quo fi = — i . 



§. 15. Hinc crgo fequens formabltur feries infinita: 

 i-^cof.Cp-+-^-^^cof.2Cp_^cof.3Cp-4-;-^^J;;cof.4-4)etc. 



cuius 



