Evolutio cafus> quo a=| et ozr — §: 



n 



f. 22. Hic igitur crit v zz •)/ [? (i -+ z) n — § (f-s)*]; 

 huius ergo valores pro fimplicioribus exponentibus rc erunt 

 uti fequuntur: 



Si /t ==: 2, erit t; zz ]/ 2 z. 



3 

 Si 7Z zz 3> erit ^ = ]/(3i + 2*). 



4 



Si rc =4* e # l = /(4-2 + 4 2 3 ). 



s 



Si n zz 5, erit yzz/(jz+iox 3 + z y ). 

 Si n zz 6, erit t? zz j/ (6 % •+- 20 z 3 -+• 6 z*). 



Expediamus nunc primo pottremam formam pro 7> datam, et 

 quoniam. in eius denominatore occurrit forma a(i-j-z) 1 — 

 b(r — z)% eius loco fcri-bamus brevitatis gratia s 3 ita ut 

 ab a zz | et b zz — § fit 



j zz | ( 1 -f- zf -f- * ( ! 1 - z) n , ideoque 



/ ^z(i-zz) ^~ I [A(i-4-z) n ~ m -+B(i-z) w ~ CT ] • 



»-/ ^ — -■• 



atque per litteras p et q erit 



J 1+f J I - jp* 



ubi notentur pro fimplicioribus exponentibus n valores: 

 Si n zz 2, erit ^ zz 1 -+ z z. 

 Si n zz 3, erit s zz 1 -4- 3 z z. 

 Si n zz 4, erit ,? zz 1 •+■ 6 z z -+- z 4 . 

 Si n zz 5, erit szzi-f-iozz-f-5Z 4 . 

 Si n zz 6, erit ^zz 1 -+- 1 5 z z ■+» 15 z 4 -+ z 6 . 

 NovaAUa /icad, Imp, ScienL 7om. XI. F J. 23. 



