D E 



CVRVIS ALGEBRAICIS, 



Q^VARVM LONGITVDO EXPRIMITVR 

 HAC FORMVLA INTEGRALI 



J /(i —v-''~) ' 



Aucflorc 

 L. EF LERO. 



Conuent. exhib. </. 17 lun. i-jj^. 



i um mcthodus ccrta luiiusmodi problcmata foluendi , qui- 

 bus curuae algebraicac rcquiruntur , quarum longitudo 

 per datam formulam integralem exprimatur , etiamnunc dcn- 

 fidimis tcncbris fit inuoluta, plurimum ad fines Analyfcos am- 

 plificandos finc dubio confcrct , fi plura liuius gcncris proble- 

 mata pariicularia omni Ihidio euoluantur , fiquidcm tum de- 

 mum fpcrare iiccbit, forc vt tandcm hacc myflcria Analyfeos 

 vltcrius pcnctremus. Hunc in fincm conflitui formulam pro- 

 pofitam accurarius pcrfcrutari , cuius quidcm duo cafus nulla 

 prorfus laborant difhcukate : alter fcilicct , quando v/ = 2 ;/ , 

 vcl ctiiim w — 4 ;/ , \cl ;// — 6 w , etc. quia tum formu- 

 la intcgrarioncm admittit , idcoquc omncs planc curuae al- 

 gebraicae rcdificabilcs fiirisfaccrc funt cenfendae ; alrcr vcro 

 ell »/ — ;/, tum euim nofiru formula, pofito 1;"—^;, abit 



in 



