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DE 



SERIERVM DE lERMlNATIONE 



SEV 



NOVA METHODVS INVENIENDI TERMINOS 

 GENERALES SERIERVM. 



AVC rOR.E 



L. ErLLRO. 

 §. t. 



Ciim lex progrcfllonis , qmm termini culiisque rcrici 

 tcncnt , in intinitiim vuri.ire poilit , non folum omnes 

 diucrl.ic Icricriim Ipccics , (id cti;im nc gcncni qiiidcm ». 

 quantiimiiis latc cxtcndantur , cnumcniri pollc vidcntiir. 

 Hinc duiic pluresquc Icrics dantur , quac ctiamfi tot , 

 quot quis volucrit , habcant tcrminos communes , 

 tamcn intcr fc difcrcpcnt , ac mnximc dincrfis lcgibus con- 

 tinc-antur. Qiii amplillimum (cricrum cuiipum vcl obiter 

 inlpcxcrit , ficilc intclligct , naturam fcrici non detcr- 

 minari , quotcunque ctiam cius tcmiini cxhibcantur. Sic 

 fi quacratur , qualis fit fcrics , quae ab his incipiat tcrmf- 

 nis: 1,3,5,7,9,11,13,15; qnacdio maxi- 

 rac c(l indctcrminata ; ct practcr (cricm numcronim im^ 

 pirium naturali orduic pnKcdcntium inniimcrabilcs aliac 

 allignari po^Funt ("crics , quac ab iisdcm tcrminis incipi- 

 aut : ncquc '\(\c dctcrmiii;Uionis dcddus ad ccrtum tcrmi- 

 norum datorum numcrum adflringitur , (ed {]iiantu(cun- 

 quc is fucrit , infinitis fcricbus comnuini<; cfTc potcft. 



§ 2. Clarius autcm hoc pcrlpicictur , fi naturam 

 fcricrum ad Gcomctriam transfcramus. Qiiaclibct cnim 



(encfi 



