MATHEMATICA. 13 



§• 3. 



Porro ponamusuno eodemque momentoj>=y':=y" 

 et PznP f 9 Qz=:Q', ideoque differentias 5 et $' re- 

 praefentari per 



$=(£ — JtO^ + CJ— £')£++ etc, 



$'=(i>— /»'oa + (£— £")A a + CK — £") A * 



4-C^— ^O^ + etc. , 

 et ob hancce caulam 



5 < V 



per 



C^ — R')fi* + (S— ^)A 4 + etc. < (/>_- P'0* 

 +(£— <2">* 2 +C£— ^"> 3 +C^— £")A 4 + etc. , 

 vel 



C# — £')£*+ G5'--£')A 3 + etc. <(i> — i>") 



+(£— £")/*+)#— it")A a +(v5_- ^")/^ 3 +etc. 



Facile ex his est intellectu , quoties termini , qui ip« 



fis h et h % sunt affecti, in membro 3' non aequa- 



le Gnt fero , toties quantitatem h tam infinite par- 



vam fumi posfe, quae fufiiciat ad quantitatem 3' 



majorem reddendam quam 3, quia, h=o pofita, 



formula 3 < 3' mutatur in o < (i>— i>"). In cafu 



autem, qua PzzzP" fiat, mutatur 5 < 5' in 



(*— R')h* + (S— S')h>+ etc. <(Q—Q")h 



+ (R — R") h*+(S — S") h* + etc. , 



vel in 



(R — R')h + (S—S')h* + etc. < 02 — £") 



+ („ — „") A + (S— S" ) A 2 + etc. , 



ideoque differentia (£ — Q") fuperabit terminos 



om- 



