118 METHODVS CVRVAKVM 



C O r O 1 I. 6. 



%6. Vt ergo arcus ef triplum exhiberi pofTit , is 

 non in vertice A terminari poteft , feu E debet eflfe 

 maius quam i, atque adeo limes dabitur , infra quem 

 accipi nequeat. Ad quem limitem inueniendum, refol- 

 vi oportet hanc aequationem 



3E'F^-H3EFz=:2F*-f-2EEFF4-2Es 



In hunc finem ponatur EF~S, et EE-f-FF=:R, 

 erit: 



3 S'-l-3 S— 2RR-2SS, ideoquc R=iV(|S^-j-SS-i-fS) 

 vnde fit : 



F-i-E = y(2S-l-y(|S'H-SS-H|S)) 



F-Ei=y(-2S-Hy(|S^-4-SS-f-fS)) 



£t cum fit E>i, ct F>i, debct «fle R>2, et 



3S^H-2SS-h3S>8 ; ideoque5>r. 



C o r o 1 1. y. 



87. Generatim ergo pro cafu «~3 oportet fit 

 3S^-i-3S>2RR-2SS; ideoque R<y(|S'4-SS+|S) 



quare fi a. fit numerus vnitate minor : reperitur 



F-hEzzy(2S+/xy(|S'-+-SS-H|S)) 



F--E=:y(-2s-i-ay(?s^4-ss-f-iS)) 



Debet ergo efle aa.^~^\^^ et S>i. 



Coroll. 8. 



88. Ponamus Srza; erit aa>^|. Capiatur 

 AZ=i, vt fit EF=i:2, et EE-f-FFniyip; erit 



F+E=:y(yi 9-1-4) ; Ezriy(yi94-4)-p^(yi9-.4) 

 F-E^y(yi9-4); F-iy(yi94-4)H-^y(yi9-4) 



ergo 



