•#53 ) 5 3 ( &§- 



qnadratura vniuerfali Curuarum conftat e(fe aream 



ap qzzzfdtpVGn. (p, 

 hoc cft fiuictioni cuipiam anguli $ aequalem , quam fi 

 defignemus charadere T:(f), erit area ap^^rtCp: Iam 

 ex puncto axis medio c erigatur applicata c d, et ob 

 a czzzb czzz? er.it c d "— V fin. % zzz i ; tum vero , fumto 

 interuallo bp'zzzap — (P, erit a p' =- tt - (p , ideoque 



p 1 q' zzzV fin. (tt - $>) — V fin. $ — p ? •, 



vude patet, reftam £ d efie .curuac a qd q' b diametrum , 

 hincque aream a c dzzzb c d et ap qzzzb p' q'. Supra avt- 



tem vidimus, pro cafu $ ~ I fore 



F :$>=/^$yfin. $— i, 1950, 



hoc eft aream 



a c dzzzb c d zzz i, 19SO , 

 vnde fit tota curuae area a c b d a zzz z, 3960. Quodfi 

 iam valorem formulae integralis fd (p V fin. Cj) cognofcere 

 velimus," quem induit fi loco (p fcribatur 1: — Cp , notetur 

 effe aream 



a p> q 1 zzz a c b d a — b p' q l , 

 vnde concludimus fore 



r:(7T-Cp)- 2 5 39CTo-r:(p, 



confequenter 



r : (ir — <D) 2, ?96(j r : cp" 



2 V jm. (tt — (p) 2 VJM. (tt — Cp) • 2 y/m. (ir — $) * 



Eft vero —r^-| — Jt^-V^AJ expreffio pro arcu noftrae 



2 v Jii.(7r — Cp)% 2 VjZrt. cp ' r r 



Lemnifcatae angulo Cp conueniente, quem hactenus voca- 

 vimus zzzs, vnde fi arcum angulo tt — Cp conuenientem 



littera 



