PROPORTIONALIVM. ipi 



^, 



a\ 



a'\ 



a^^\ 



a"'' etc. 



^, 



b\ 



h'\ 



b''\ 



b'''' etc 



htic legc \t fit 



b'-ar-\-b; y'zza'r^y; b''' -a''r-\-b'' ', h''' '—a"'r-\-b''* 

 et fr;i<f^!ones 1, ^-, ^ , ,,, , -,777 etc. continuo pro- 

 plus valorem quaefitum Vr exhibebunt. 



Coroll. 2. 



5. Vel fi conftituatur progrefllo a ratione geo- 

 metrica continua quantumuis aberrans , cuius termi- 

 n; alterni fint in ratione i : r 



<?, ^, ar^ br^ ar\ br\ ar\ br\ ar\ br^ etc. 



hinc binis terminis coniungendis noua formetur 

 pr.)greflio : 



a-{-bi b-\-ar, ar-i-br, b'r-\-ar% ar--\-bf-y br--{-ar^y etc 

 haecque n^agis ad progreffionem geometricam accedet. 



Coroll. 2' 



6. Si hic denuo bini termini conlungantur , 

 prodibit haec feries : 



^(r 4-1)4-2^; lar+blri-i)^ ar(r 4- 1)4-2 ^r; lar'' 



4- £»r(r-h i) etc. 



hincque porro fimili modo iftae 



ei^r-\-iyi-b{r-i-:i); flr(r4-3)-f-^(3^-f-i); ^r(3r4-i) 



^r(r4- 3) etc. 

 a(rr 



