104 DEKrMERIS AUlC.iBlt. JTQVE AIIIS 



dcm fingnli bini , P Q, P R, P S , qR , (^S , R S ; 

 finguh tcrni, p4R,P(^S,rRS,(^RS, ct nngiili 

 quatcmi P(^RS, vndc liuiima diiiiloium omuium habc- 

 bitiir i-HP-i-Q.-+-R-i-S-|-PQ.-+-PR-i-PS-4-(^R 

 H-(^S-!-RS4-I'(iR4 P(;iS-t-PRS4 (^RS-hPQ.RS; 

 fcd hacc fumma rcli.)luitur in hos tacftorcs ( P -i- i ) ( Q-i- i ) 

 (R-f- I )(S-l- I ) i itaque numcrus compoiitus cx primis 

 diucrfis P(^RS habct liimmam diuiitirum ( P-f i )(Q_+ i) 

 (R-l-i)(S-hi), ct fummam partium aliquotarum (F+i) 

 (Q.-+-i)(R-f-i)(SH-i)-PQRS. Simih modo nu- 

 meri compofiti PQ fumma diuilbrum habcbitur (P-i-i) 

 (Q-l- I ) , ct Uu-nma partium ahquotarum ( P-|- i )(Q-l-i) 

 — P(^. Summa diuil()rum numcri 105—3.5.7 crit 4. 

 6.8 = 192, ct fumma partium nliquotarum ~ 192 ■— 

 105 — 87. 



§.6. Sit potcntia mmeri alicuiui primi quacuis , 'DC- 

 luti P "• , quacritur jumma diutjorum buius tiumcri potcntia- 

 lis. Diuilbrcs hi fuut i , P, P', P', P* eic. vsquc ad 

 indudcndum P"* ; igitur lumma horum diuiforum crit i + 

 P-hP'-i-P'-i- pp ctc. -I-P"' ; ll-d hacc fumma conllituit 

 progrcnioncm gcomctricam , cuius primus tcrminus clt i , 

 cxponcus crt P , ct tcrminub \ltimib P "• , itaquc hacc 



pTn-f-i _ j 



fumma crit — — ; confcqucntcr numcri talis P"' fum- 



p "' -+- 1 I 



ma diuifonim cft hacc (cqucns , — j ct fumma par- 



p W-f., _ j 



dum aliquotarum cfl — ~ _p"» . fit cx. gr. 81 — 



4 

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