INTER SE COMPARANDIS, 47 



ct cum fit Arc^ — Arc.^^^rr^-Jf^r-/^) , erit 

 2Atc,fg-Axc.pqrz:z~l~{pq^^r-2fg) 

 Hinc pari modo definianrius pundum /, vt fit 



l\DlUim i\0 -i — a* — mkkrr — r K — /j R " 



o n*(s!-rr) —kkCa*—mrr ss) rsjss -rrJK- ks^^ss-kk) R 



•^ zkr — kr {rr -k k) 



ct quia erit Arc./^ — Arc. riir-Tr (^•^~/i')j habebKur 

 (^Arc.fg'Arc.pqrs-raip^+^r+^^'^W- Qj E. I. 



C o r o 1 1. I. 



Simili modo progrediendo, maaifeftum eft, defi- 

 niri a daro pundo p pofle arcum pt^ qui a quadruplo 

 arcus dati /g- deficiat quantitate algebraica : atque hoc 

 modo operationem continuari poffe quousque lubuerit. 



C o r o 1 L 2, 



Si 'arcus datus fg toti quadranti aequetur , vt 

 fit /" o ct gziza, ideoque ¥zza* et G=:o , erit 



k-a et K = o; Hincreperitur^— — -^^p—^y^-l:^^; 



^ /-v __ — • qiqi-aa) p -{aa-qq)P P __ aHaa-qq) . r, 



CC V^ p{pp^aa)>^ ap(aa-r,ipp)(aj-pp) p 5 '*'• ^^" 



aa-qq--^_:^ ynde Q.=-i^^. Porro rz: „(^_-^)=: -/) ; 

 et K — — aaV[aa—pp)(aa — mpP)^-V. Uenique 



— P ^ / aa— pp Q ^_ (i — T n^a^p , 



erit S — a {,,^ — 7„pp) -. - 5 K aa—mpp — ~^ ^t O V^_ aq—lHJp • 



fietque 3 Arc.^^-Arc./> ^r/zz^p^ ::;?»;) V^||^. 



C o r o 1 1. 5. 



Tundium p quoque ita definiri poterit, vt fiat: 

 pq^qr-^-rs—i^Jg 

 quo cafu arcus pqrs exade aequabitur triplo arcus dati 

 jg. • Atque ita porro arcus inueniri poterit , qui ad arcum 

 datum fg aliam quamuis rationem multiplicem teneat. 



Scho- 



