tm METHODVS CVRVAKVM 



critque 



Arc, qr - Arc. efzz | r "/( i +rr)- 1 qV{i^qq)-\fV{ i -^ff) 



qua aequatione ad illam addita prodibit : 



Arc./> r- 2 Arc. ef—\ rV{ i -^rr^-^^pV^ i -^-ppyifV^ i +/) 



Tertio ex pundlo r capiatnr pnnd:nm j, vt fit: 



s-H- y^_-t-£0 /-t-\^( >-!-//) r s-l-V('->--'s) ^/- 4-V('-h f/)\y 



r-+-VCt-Hrr) — ' e-f- V(i-+-e?)' ^ ' p-+-V(i-+-pi>) V€'-+-V(.-t-eer 



eritqne : 



Arc . fi - A rc. ^/z: \ sV{ i -}- j.f ) - 1 rV^ i -frr) - |/i^( i H-/) 



-}-5^V(iH-^^) 

 quae ad praecedentem addita praebet : 



Arc./>5' 3 Are. f/ir i ;y(i H- jj)-ipV( I -Hpp)-i/>^( i-f-/) 



H~i^y(i-h.-f). 



Atqne hoc modo fi vlterius progrediamnr , (itque z 

 pnndnm pod n hninsmodi operaiiones inueniura , erit: 



z -hV (i -t-z ^) / /-f-V(i -f-/ fKw 



f -t- V ( I H- J) p) — ' e -f- V ( i -+- (? e)' 



Yndc immediate pnndum .s reperietnr , ita vt fit: 

 Arc.p^-«Arc.^y=|sy(i-fs2;)-i^y(i4-/>pH/y(i-h/) 



-M^y(i-i-^^) 



ficque arcns ps eft inuentus a dato pundlo ^ abkifliis, 

 qui arcum ef vicibus n (iimtnm luperat qnantitate 

 geometrica. 



C or o 1 1. I. 



75. Quodcunqne ergo multiplum arcu? ef pro- 

 ponatur , cuius multipli exponens fit numerus n, finc is 

 fit integer , fiue fiadus , a dato pnndo p feroper ab' 



fcindi 



