rmOREMATlS EERNOVtLtANI. 195 



XXXVII. 



Pofito ergo -y— cPjObtinebuntur (equent^s aequa- 

 tiones : 



/ i=A -B -f-C -D H-E -etc. 

 / z=:Aa'-Bp'-l-Cv'-Dr-{-Ee'-ctc. 



/'^''c=Aa*-B|3*-{-Cv*-D^*-HE£*-etc. 



etc. 



quomm valorum infinitefimi iterum finiti euadere de- 

 bent , feu effe oportet : 



Aa^-B^S^-i-Cv^^-DtJ^-i-Ee^- etc. zr quant. 

 finitae. 



XXXVllI. 

 Subftituamus ergo pro a, (3, y, 5 etc. valores, 

 qui ipfis conuenire poiTunt , ac ponendo ad abbreuian- 

 ^am ;|- — w, vt fit 



a — n; p=r:3«i 7^5^'^ ^=^^tJ, etc. 

 atque necefl£ efl: , vt fit : 

 tam AK^^+s^Bn^+S^^Cw^+^T^Dw^+etc^ 

 quam Aw~-3'^B»^+ 5 ^CM^-7^D«^+etc.S "^ 

 fius requiritur , vt fit 



n^iA -f- 3^B-i- s^C^h ^^D-l- etc.) quantitas finita 

 (Ct quidem pofitiua. 



XXXIX. 



Qiiodfi iam A r/^ fit quantitas finita , perfpi- 



cuum eft, reliquas litteras B, C, D etc. omnes efle debere 



euanefcentes. Ponamus ergo Br=:o, C— o^ D— o etc. 



a a(p)^ 

 atque Atf^zza, vt fit A=r -^ — -^, atque pro cur- 



B b 2 va 



