«35 DE FARTniO\'E 



5— 1+1+1-1-1+ 1 i 5zri-Hi-|-i-|-2i 5 — 1-4-1-1-3 i 



S — i-i-z-^-i , 5—2-1-3- 



In gencrc aiitcm tcrminnin z-^'^ y^ confidcrando , cocfficicns 

 i;'"'' ludicabic , quot variis modis nunuerus n ex numcris 

 1,2,3, pcr additioncm oriri qucar. Cum igitur fif 

 C ~ ^v* , in lcrie C habcbituc illc termimis v^'^ x'~^' 

 quo indicatur , numerum n -^ 6 tot modis , quot vnita- 

 tcs contincntur in cocfficicntc v^^^ in trcs partcs inae- 

 quales difpcrtiri poflc. Vndc confcquitur , numcrum n-\-6 

 totidcm modis in trcs partes inaequalcs diftribui poflc , 

 quot modis numerus 6 ex numeris i , 2 , 3 , pcr addi- 

 tioucm produci poHlt. 



§. 18. Non opus eft, vt hoc ratiocinium longius 

 pmfequamur , cum hinc iam abunde perfpiciatur , quemuis 

 numenim n ~\- 10 tot variis modis in quatuor partcs in- 

 acqualcs difpcrtiri pofTc , quot modis numcrus ;; cx his 

 quatuor numeris i , 2 , 3,4 pcr additionem produci 

 poirit. Simili modo quilibct numcrus ;;H-i5 tot va- 

 riis modis in quinquc partcs inacqualcs dilpertiii potcrit , 

 quot modis numerus ;; cx his quinqiic numcris 1,2, 

 3 , 4. , 5 per additioncm produci potcd. Gcncratim cr- 

 go numcrus n -{- ""^ "'."*" ■- tot variis modis in ;;/ partes inac- 

 quales di.'"pcrtiri potcrit , quot variis modis numerus n cx his 



numeris 1 , 2 , ^ , 4- nt ptr additioncm produci 



potell. Qtiod fi ergo quacratur , quot ^aiiis modis numcnis 

 N in ;;; paites iaicquales difpcrtiri poflic , rcrpoufio rc- 

 peiiciiM- , fi caluum numerus inuelligetur , quibus numc- 



nii N — ' "^'^7'"'' ex numeris i , 2 , 3 j 4 m pcr 



additionem pioduci potcfl. 



§. 19. Hoc igitur modo rcf()Iutio quacflionis pro- 

 pofitac , dc partitionc cuiuiquc numcri , in quot libucrit par- 



tcs. 



