17(5 DE DIFISIONE 



dius exponcnti illi furdo n refpondens , qui termlnus abi- 

 bit in fenem infinitam 

 x:iz a 



-l-etc. 

 ■pi ii^ Ex diuifione arcus facile deducitur modus eundem 

 multiplicandi. Sit datus arcus multiplicandus BH. Rad. 



ABrr^, perpendicularis HOnrWjBOzr^— V^^— w^^ir^. 

 SumtaHGi=BH=i:yP-i-7;/^ ponatur perpendicularis 

 qnaefitaGN ::=:j, fiet GL zz-j-m^ HL zz. VP-y^^2my, 

 -ON. 



Ergo AN=:AB-BO-ON=:^- Z>-V^ ^ -y^-^amy 



=^AG^-GN-=:V^^^j2. 



vndcfitji=:-i^'--^^=:GN perpendiculari arcus du- 



plicatiBGjCx qiia per fimilcm aequationem AM=:AN 

 — MN=V AF ^ -MF^ eruitur FM perpendicularis arcus 

 triplicati BF etc, 



Haec dinifio et inultiplicatio arcus quamuis genera- 

 lisfit, tamen cognito fonte inuentionis confiderari pot- 

 eft vt cafus fingularis huius problematis multo genera- 

 lioris : data ratione inter abfciiTas ct applicatas alicuius 

 curuae , diuidere eandem curuam in partes quotcunque 

 datas, ita vt fubtenfae paitium fint in rationc data qua- 

 cunque. 



Sit 



