= (38) 



t B-t-BC — BCP-f-BCDE . — etC. 



I — 2B-f-3BC. — 4BCD-H eTc. ' 



vndc dediicimiis 



B — I2BC-I-3BC D^— 4B C D E efc. 



-«r: 



I — aBH- 3 BC — 4it,C 0^+- etc. 



Hanc ob rem ponamus nunc Q— i-f-^, ac prodibit 



K = l 



■ — gB H-3B C — 4B C n.-)- cfp. 

 l aCH-3CD. — 4CDE-t- etc. 



•uniDr^' 



§. 4. Hic ergo tam in numeratore quam m denomi- 

 natore iidcm cocfficientes occurrunt, at litterae maiufculae in 

 denominatore vno gradu funt promotae. Cum igitur iit C— B 

 — ^, D — Biz=2^, E — B = 3^, etc. fiet ' ^''- ^''^^-^- 



■D , I e5 — it.3£C-H3.4BCD-f-4.5?>CPE — etc . 



' I 2C-t-3CD 4CDE -(- 5.CDEF etC. 



Quod fi crgo ponamus R — i -H ?j- , erit 



9 



S=z'- 



EC -I-3CD — 4CDE -f- etc. 



1 3C-+-6CD — I0CDE-(- etc. 



vbi in denominatore manifello occurrunt numeri trigonales, 

 quae exprellio reducitur ad hanc: 



^ ^ I C — 3CD-)- 6CDE loCDEF-l- etC. 



1 3 C -f- 6 CD IoCDE-(- etC. 



C 

 T 



^r — 30 -f- 6 CD • — rcG-nE -4- is cdep — ete. 



l — 3D -H 6DE — ■ loDEF -f- I5DEFG — etT. 



Quod fi ergo (latuamus S =: i -h ^- , erit 



§. 5. Ifta forma ob D — C=Z', E — CzziiZ', 

 C~3^, ctc. abit in hanc: ;. 



<y .^ _j_ 36 — i.ibn -f- 3.106DE — 4- rs &D E F -f- ftc. 



l — 3D -f- tDE ■ — lODEF -+• ISDEFC — et»x — 



U 

 T T T 3 D -+- « D E — : TO D E F -f- I S D E F r, etc . 



Ponamus T = i -i- '-^ , vt fiat 



I — 4DH-IODE 20DEF-f-3SDEFG etc' 



vbi in dcnominatore reperiuntur numcri pyramidalcs primi fiuc 

 fummae trigonalium , hincque nancifcimur: 



