(II) 



A (a — h -{- 2. b iyb"^^ (a —■ b -^- 2 b ij 



a t 



zzzB C(a — 2 b 'i^ 2 b fy^ ' (a—2b -^2htf. 



§. 15. Diuidamus hanc aequationem vtrinque per 

 ^a — 2b ~\- 2h iy , et cum fit 



c — b -h^ b i __ j _i b __ j _i _i_ 



ob i numerum infinitum, per refolutionem ordinariam crit 



I 



(i+JL/ — ^^, vnde aequatio noftra reducitur ad hanc for- 

 mam : 



A (^ — ^ -t- 2 ^ 0"^ "" % / = B C (« — 2 ^ -t- 2 ^ i)^ "~ % 



vbi vltimi facftores quoque fe tolhmt, cum fit 



ita vt peruentum fit ad hanc fimplicem aequalitatem: 

 A e^ = B C. 



§. i5. Deinde cum fupra inuenerimlis efle 



• / ~ A ?V(a + g/ & ) {[\XQ 2li t/ ( g -f- g i 6 ) 



k ' A : / k ' 



diuidamus valorem pro : i inuentum per A : i, ac reperie- 

 mus : 

 tll.z=%y(a ^2b-^2bi) (-'-^;^"-\'y — lY e(a-2b-^2bi\ 



A:i B ' ^ ^ ^a~zb + 2bi^ B ' ^ -^ 



Erit ergo 



tll^li±^z:zlYe(a—2b-h2bi), fiue 



i- 5. l/ e("— "-&-^^5 C_ ^ / - 



fe b''^ cc-i-226 b''> 



fiue erit Bziz C k^ e, 



B 2 §• 17* 



