-m ) 5<5 ( m<- 



D E 



MIRABILIB^ S PROPRIETATIBVS 



NVMERORV.M PENTAGONALIVM. 



Aii<flore 

 L. EVLEKO. 



A 



d clafTem numerorum pcntagonaliiim non folum cos 



rcfcro , qui vulgo prt^prie ita iiominari foltnt & 



-!Lr:_? contincntur, fcd ctiam cos, quos iftd 



in formula '-^ 

 formula: ' " ^± -? fiippcdJtat ; ita vr formula gcneralis om- 



-!^— , ex <]ua igitur na- 



nium Iioruni numcrorum fit ' " "^ ■ 



fcitur fequens geminata numcrorum feries , fi Iolo ;/ fuc- 



ccniue fcribantur ordine numeri o, i, 2, 3, 4, ctc. 



n 



Numcri 

 pentagon. 



o, I 



5, 



o, I 



55, 51 



o, 2, 7, 15, 26, 4.0, 57 



Qnilibtt fcilicct numcrus pro n afTumtus duos producit 

 numcros, quos hic fibi inuiccm (iibfciiifi, ita vt lcrics hi- 

 pcrior contincat numcros pentagonalcs propnc ita di(flos, 

 infcrior vcro cos , quos hic quoquc ad caiidcm ciillcm 

 rtfeio, ct qui oriuniur fi lupcrior Itrics rctro continue- 



lur. 



