174 



DE PAPvTlTIONr 



ji. Hinc prout teirernrum numerus fuerit 

 yel 2, Tel 3 A'el 4 lex progrelTionis coefficientium 

 erit Yt requiiur : 



pro duabus pro tribus 



An 2 3 



sBr 3 A 4A 



3C1: 4B 5B 



4r^=: 5C 6C 



5E=: 6D ■* 7D 



(5F-7E-12 8E-18 



7G= 8F-11A+10 9F-i7A-fi5 

 8H=: pG-ioB-i- 9A10G- i<5B+i4 A 

 pI^ioH- 9C+ 8B11 H-15C+13B 

 loKziiiI- SD-f 7C12 I -14D+12C 

 iiL-iaK- 7E+ 6D13K-J3E+11D 

 12M-13L- <^F+ 5E14.L-12F+10 E 



etc. 



pro quatuor 



4 





5A 





6B 





7C 





8D 





9E- 



-24 



10 F — 



-23A-i-20 



iiG- 



- 2 2 B -h 1 9 A 



I2H — 2IC+I8B 

 13 I — 20D+I7C 

 I4K — I9E + I5D 

 I5L — 18^ + 15 E 



quilibet crgo ccefficiens per tres praecedentes de- 

 terminatur \bi hoc imprimis eft notatu dignurn , 

 quod taudem in nihilum abeant , et poftremi pri- 

 mis euadant pares, id quod ex hac lege minus per- 

 fpicere licet. 



12. Qiio autem hanc Jegem clarius intelliga^ 



mus denotet haec formula (N) numerum cafuum 

 quibus numerus N per n tefleras produci poteft, ita 



in) (n) (n) 



•vt fit {n) i=:ij («4-0 ~Aj («+2) — B ; 



(«+3) 



